fina_2021_solution

https://palomar.home.ece.ust.hk/MAFS6010R_lectures/Rsession_factor_models.html#final_comparison_of_covariance_matrix_estimations_via_different_factor_models

https://systematicinvestor.wordpress.com/2012/03/19/backtesting-asset-allocation-portfolios/

rm(list = ls())
library(lubridate)

## 
## Attaching package: 'lubridate'

## The following objects are masked from 'package:base':
## 
##     date, intersect, setdiff, union

library(timetk)
library(purrr)
library(quantmod)

## Loading required package: xts

## Loading required package: zoo

## 
## Attaching package: 'zoo'

## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric

## Loading required package: TTR

## Registered S3 method overwritten by 'quantmod':
##   method            from
##   as.zoo.data.frame zoo

library(lpSolve)

#devtools::install_github(‘joshuaulrich/xts’, force = T) #devtools::install_github(‘joshuaulrich/quantmod’, force = T) # #devtools::install_github(‘systematicinvestor/SIT.date’, force = T) #curl::curl_download(‘https://github.com/systematicinvestor/SIT/raw/master/SIT.tar.gz’, ‘SIT.tar.gz’,mode = ‘wb’,quiet=T) #install.packages(‘SIT.tar.gz’, repos = NULL, type=‘source’)

library(SIT)

## Loading required package: SIT.date

## 
## Attaching package: 'SIT'

## The following object is masked from 'package:TTR':
## 
##     DVI

## The following object is masked from 'package:purrr':
## 
##     cross

## The following object is masked from 'package:base':
## 
##     close

library(PerformanceAnalytics)

## 
## Attaching package: 'PerformanceAnalytics'

## The following object is masked from 'package:graphics':
## 
##     legend

library(xts)
library(tidyr)

#Import data
tickers = spl('SPY,QQQ,EEM,IWM,EFA,TLT,IYR,GLD')

datas <- new.env()
getSymbols(tickers, src = 'yahoo', from = '1980-01-01', env = datas, auto.assign = T)

## 'getSymbols' currently uses auto.assign=TRUE by default, but will
## use auto.assign=FALSE in 0.5-0. You will still be able to use
## 'loadSymbols' to automatically load data. getOption("getSymbols.env")
## and getOption("getSymbols.auto.assign") will still be checked for
## alternate defaults.
## 
## This message is shown once per session and may be disabled by setting 
## options("getSymbols.warning4.0"=FALSE). See ?getSymbols for details.

## pausing 1 second between requests for more than 5 symbols
## pausing 1 second between requests for more than 5 symbols
## pausing 1 second between requests for more than 5 symbols
## pausing 1 second between requests for more than 5 symbols

## [1] "SPY" "QQQ" "EEM" "IWM" "EFA" "TLT" "IYR" "GLD"

for(i in ls(datas)) datas[[i]] = adjustOHLC(datas[[i]], use.Adjusted=T)

names(datas)

## [1] "GLD"         "IWM"         "IYR"         "TLT"         "QQQ"        
## [6] ".getSymbols" "EEM"         "SPY"         "EFA"

datas$EEM

##             EEM.Open  EEM.High   EEM.Low EEM.Close EEM.Volume EEM.Adjusted
## 2003-04-14  8.041089  8.097208  8.041089  8.097208      93600     8.097208
## 2003-04-15  8.146915  8.217465  8.146915  8.193414     421200     8.193414
## 2003-04-16  8.281600  8.321685  8.281600  8.288014       9000     8.288014
## 2003-04-17  8.333713  8.349747  8.319282  8.347342      17100     8.347342
## 2003-04-21  8.356962  8.357764  8.337722  8.344135      72900     8.344135
## 2003-04-22  8.343335  8.372196  8.317681  8.372196      19800     8.372196
## 2003-04-23  8.377804  8.411476  8.349744  8.411476      31500     8.411476
## 2003-04-24  8.345738  8.345738  8.225482  8.245525      90000     8.245525
## 2003-04-25  8.130081  8.130081  8.097211  8.109237     102600     8.109237
## 2003-04-28  8.130079  8.243119  8.129278  8.243119      91800     8.243119
## 2003-04-29  8.370592  8.482029  8.370592  8.478020      76500     8.478020
## 2003-04-30  8.457977  8.465192  8.432323  8.453969     228600     8.453969
## 2003-05-01  8.429920  8.463591  8.417895  8.421101     234900     8.421101
## 2003-05-02  8.448357  8.550173  8.448357  8.550173      67500     8.550173
## 2003-05-05  8.582239  8.643970  8.582239  8.642367      47700     8.642367
## 2003-05-06  8.642367  8.696883  8.634350  8.686461     109800     8.686461
## 2003-05-07  8.650387  8.672033  8.643172  8.670430     313200     8.670430
## 2003-05-08  8.618317  8.623127  8.586249  8.594266     417600     8.594266
## 2003-05-09  8.606292  8.701695  8.606292  8.695281      63000     8.695281
## 2003-05-12  8.734565  8.816339  8.730557  8.816339     752400     8.816339
## 2003-05-13  8.785070  8.785070  8.742579  8.766630     276300     8.766630
## 2003-05-14  8.766632  8.766632  8.705702  8.722538     206100     8.722538
## 2003-05-15  8.740174  8.740174  8.718528  8.740174     337500     8.740174
## 2003-05-16  8.762624  8.778659  8.722539  8.746590     256500     8.746590
## 2003-05-19  8.690471  8.690471  8.506079  8.538147     128700     8.538147
## 2003-05-20  8.558192  8.591063  8.534141  8.580640      53100     8.580640
## 2003-05-21  8.565403  8.590257  8.520508  8.587851      45900     8.587851
## 2003-05-22  8.590259  8.665619  8.590259  8.665619      84600     8.665619
## 2003-05-23  8.726546  8.775450  8.726546  8.754606      74700     8.754606
## 2003-05-27  8.775450  9.073684  8.775450  9.068072     864000     9.068072
## 2003-05-28  9.068071  9.120181  9.068071  9.107354     396000     9.107354
## 2003-05-29  9.099339  9.137821  9.083305  9.119382     306900     9.119382
## 2003-05-30  9.139424  9.225206  9.120984  9.225206     368100     9.225206
## 2003-06-02  9.251664  9.395971  9.251664  9.291750     587700     9.291750
## 2003-06-03  9.299763  9.299763  9.145034  9.221196     244800     9.221196
## 2003-06-04  9.219595  9.340652  9.219595  9.339850     241200     9.339850
## 2003-06-05  9.373521  9.373521  9.288540  9.349470     509400     9.349470
## 2003-06-06  9.399980  9.532261  9.399178  9.436858     608400     9.436858
## 2003-06-09  9.448884  9.448884  9.326223  9.355886     208800     9.355886
## 2003-06-10  9.359092  9.452090  9.359092  9.452090     233100     9.452090
## 2003-06-11  9.448080  9.467321  9.379936  9.460106     294300     9.460106
## 2003-06-12  9.476142  9.531460  9.468927  9.531460     402300     9.531460
## 2003-06-13  9.509010  9.536268  9.501795  9.528251     694800     9.528251
## 2003-06-16  9.556311  9.631672  9.544286  9.630870     163800     9.630870
## 2003-06-17  9.729479  9.836907  9.729479  9.828890     352800     9.828890
## 2003-06-18  9.802434  9.848131  9.771167  9.792813     171900     9.792813
## 2003-06-19  9.872983  9.889018  9.780788  9.792813     225900     9.792813
## 2003-06-20  9.820873  9.836907  9.764753  9.792813     300600     9.792813
## 2003-06-23  9.760745  9.760745  9.549897  9.552302     332100     9.552302
## 2003-06-24  9.512216  9.512216  9.428037  9.481751     188100     9.481751
## 2003-06-25  9.505804  9.618844  9.505804  9.560320    1045800     9.560320
## 2003-06-26  9.606016  9.668549  9.589181  9.663739     210600     9.663739
## 2003-06-27  9.676566  9.680575  9.594792  9.618843     373500     9.618843
## 2003-06-30  9.646102  9.646102  9.596396  9.612430     279900     9.612430
## 2003-07-01  9.648506  9.724668  9.620446  9.716651     679500     9.716651
## 2003-07-02  9.824880  9.952350  9.824880  9.945135    1129500     9.945135
## 2003-07-03  9.973199  9.978009  9.953156  9.973199     110700     9.973199
## 2003-07-07 10.077417 10.220120 10.077417 10.220120     569700    10.220120
## 2003-07-08 10.239362 10.267422 10.201682 10.248982     347400    10.248982
## 2003-07-09 10.241767 10.241767 10.181639 10.224931     472500    10.224931
## 2003-07-10 10.168811 10.168811 10.013281 10.045349    1603800    10.045349
## 2003-07-11 10.045348 10.129527 10.045348 10.129527     212400    10.129527
## 2003-07-14 10.241768 10.349998 10.241768 10.307508     683100    10.307508
## 2003-07-15 10.358012 10.358012 10.177629 10.177629    2222100    10.177629
## 2003-07-16 10.157590 10.213710 10.127927 10.185650     828000    10.185650
## 2003-07-17 10.121510 10.121510  9.919481  9.919481     367200     9.919481
## 2003-07-18  9.937120 10.051764  9.937120 10.051764     205200    10.051764
## 2003-07-21 10.012478 10.012478  9.905852  9.918679    2148300     9.918679
## 2003-07-22  9.944335 10.050160  9.933112 10.037333    1022400    10.037333
## 2003-07-23 10.005268 10.005268  9.913873  9.973199     904500     9.973199
## 2003-07-24 10.041342 10.108685 10.021299 10.021299     749700    10.021299
## 2003-07-25 10.095057 10.185650 10.081428 10.185650     212400    10.185650
## 2003-07-28 10.245776 10.273836 10.213708 10.241767    1040400    10.241767
## 2003-07-29 10.257802 10.262612 10.173623 10.184045     805500    10.184045
## 2003-07-30 10.159995 10.161599 10.089445 10.109488      56700    10.109488
## 2003-07-31 10.125522 10.188857 10.125522 10.157591     339300    10.157591
## 2003-08-01 10.177633 10.197675 10.166409 10.180038     441000    10.180038
## 2003-08-04 10.193667 10.199279 10.101471 10.135143     394200    10.135143
## 2003-08-05 10.135142 10.135142 10.026110 10.026110     290700    10.026110
## 2003-08-06 10.023705 10.034930  9.955561  9.981215     371700     9.981215
## 2003-08-07 10.053370 10.084637 10.029319 10.054172     288900    10.054172
## 2003-08-08 10.137545 10.141554 10.096658 10.121511     153000    10.121511
## 2003-08-11 10.181640 10.201683 10.141555 10.165606     665100    10.165606
## 2003-08-12 10.184045 10.214510 10.169614 10.205691     727200    10.205691
## 2003-08-13 10.331561 10.382069 10.284260 10.350000     721800    10.350000
## 2003-08-14 10.356408 10.493499 10.356408 10.486284     404100    10.486284
## 2003-08-15 10.382068 10.382068 10.382068 10.382068      48600    10.382068
## 2003-08-18 10.478270 10.604939 10.467848 10.603336    1189800    10.603336
## 2003-08-19 10.662662 10.662662 10.590509 10.655447     453600    10.655447
## 2003-08-20 10.630596 10.657052 10.592114 10.657052    1125000    10.657052
## 2003-08-21 10.743633 10.856674 10.730806 10.852665    1083600    10.852665
## 2003-08-22 10.983346 10.983346 10.875116 10.907986    1008000    10.907986
## 2003-08-25 10.892753 10.892753 10.811781 10.823005     391500    10.823005
## 2003-08-26 10.778907 10.778907 10.626584 10.690720    1186200    10.690720
## 2003-08-27 10.707558 10.814986 10.669076 10.814986     632700    10.814986
## 2003-08-28 10.852666 10.890346 10.788530 10.890346     441900    10.890346
## 2003-08-29 10.959293 10.991361 10.959293 10.968913     417600    10.968913
## 2003-09-02 11.063512 11.133260 11.047478 11.131657    1471500    11.131657
## 2003-09-03 11.283984 11.283984 11.211831 11.219848     887400    11.219848
## 2003-09-04 11.228667 11.275968 11.216642 11.259934     458100    11.259934
## 2003-09-05 11.279975 11.279975 11.227864 11.249510     532800    11.249510
## 2003-09-08 11.360947 11.476392 11.360947 11.462763     659700    11.462763
## 2003-09-09 11.486815 11.486815 11.246304 11.263941     387900    11.263941
## 2003-09-10 11.246303 11.246303 11.018618 11.076341     569700    11.076341
## 2003-09-11 11.080347 11.173345 11.063511 11.063511    1097100    11.063511
## 2003-09-12 11.099590 11.142080 11.023428 11.142080     948600    11.142080
## 2003-09-15 11.158112 11.158112 10.943256 10.977729     809100    10.977729
## 2003-09-16 11.087564 11.203811 11.062711 11.203811    1987200    11.203811
## 2003-09-17 11.223050 11.233472 11.148492 11.155707     982800    11.155707
## 2003-09-18 11.182967 11.304025 11.143683 11.283982     762300    11.283982
## 2003-09-19 11.300016 11.300016 11.207018 11.231871     466200    11.231871
## 2003-09-22 11.181364 11.181364 11.000179 11.048281    4203900    11.048281
## 2003-09-23 11.060306 11.083555 11.045875 11.075538     453600    11.075538
## 2003-09-24 11.217444 11.239090 11.087568 11.095585     789300    11.095585
## 2003-09-25 11.095583 11.095583 10.931234 10.931234     530100    10.931234
## 2003-09-26 10.931233 10.931233 10.855071 10.855071    2994300    10.855071
## 2003-09-29 10.872704 10.941650 10.863084 10.932030    1071000    10.932030
## 2003-09-30 11.000180 11.000180 10.863088 10.897561    2218500    10.897561
## 2003-10-01 11.048282 11.186976 11.040265 11.183770    1123200    11.183770
## 2003-10-02 11.288793 11.364153 11.263940 11.344110    1017900    11.344110
## 2003-10-03 11.504451 11.506856 11.437108 11.456349    2016900    11.456349
## 2003-10-06 11.514072 11.525296 11.466771 11.500443     356400    11.500443
## 2003-10-07 11.536519 11.536519 11.464366 11.488417     529200    11.488417
## 2003-10-08 11.589431 11.596647 11.559768 11.574199     351000    11.574199
## 2003-10-09 11.759396 11.825136 11.744967 11.769017     987300    11.769017
## 2003-10-10 11.831548 11.916529 11.831548 11.913321    1278000    11.913321
## 2003-10-13 11.985474 12.104928 11.985474 12.093703    1638000    12.093703
## 2003-10-14 12.059229 12.059229 11.857199 11.862812    1341000    11.862812
## 2003-10-15 12.005517 12.049611 11.977457 12.006318    2833200    12.006318
## 2003-10-16 12.006316 12.033575 11.985473 12.003110     284400    12.003110
## 2003-10-17 12.007922 12.007922 11.905305 11.930158     273600    11.930158
## 2003-10-20 12.019145 12.032773 11.981465 11.996697     448200    11.996697
## 2003-10-21 12.024760 12.056827 12.009527 12.056827     977400    12.056827
## 2003-10-22 12.033576 12.033576 11.830745 11.879648    1390500    11.879648
## 2003-10-23 11.704877 11.704877 11.626311 11.704877     849600    11.704877
## 2003-10-24 11.624705 11.643145 11.585422 11.643145    1303200    11.643145
## 2003-10-27 11.720910 11.785045 11.720910 11.777029    1175400    11.777029
## 2003-10-28 11.929352 11.952602 11.897285 11.938171     625500    11.938171
## 2003-10-29 11.977456 12.041593 11.953406 12.037583     775800    12.037583
## 2003-10-30 12.091298 12.101720 11.993490 11.994291     603900    11.994291
## 2003-10-31 12.003911 12.011126 11.882854 11.898086     305100    11.898086
## 2003-11-03 12.105732 12.185902 12.089698 12.181893    1420200    12.181893
## 2003-11-04 12.263666 12.266070 12.197123 12.215563     923400    12.215563
## 2003-11-05 12.244421 12.263664 12.190707 12.231595    1408500    12.231595
## 2003-11-06 12.181889 12.181889 12.082478 12.144210     745200    12.144210
## 2003-11-07 12.155434 12.201131 12.141805 12.157037     659700    12.157037
## 2003-11-10 12.130580 12.130580 11.981464 11.989481     644400    11.989481
## 2003-11-11 11.901295 11.901295 11.793065 11.835556     731700    11.835556
## 2003-11-12 11.911717 12.060834 11.894882 12.046405     657900    12.046405
## 2003-11-13 12.132185 12.140202 12.035980 12.139400     972900    12.139400
## 2003-11-14 12.112142 12.152226 12.035979 12.077669     451800    12.077669
## 2003-11-17 11.985471 11.985471 11.770615 11.841966    1896300    11.841966
## 2003-11-18 11.917330 11.949398 11.865220 11.865220    1236600    11.865220
## 2003-11-19 11.825133 11.825133 11.749773 11.788255    1089900    11.788255
## 2003-11-20 11.684835 11.700869 11.624707 11.635931     505800    11.635931
## 2003-11-21 11.676016 11.736945 11.676016 11.736945     363600    11.736945
## 2003-11-24 11.736944 11.869226 11.716903 11.864415    1182600    11.864415
## 2003-11-25 11.900496 11.937373 11.865221 11.905306    2041200    11.905306
## 2003-11-26 12.010325 12.014335 11.949396 12.014335    1207800    12.014335
## 2003-11-28 12.024757 12.156236 12.009524 12.121762     619200    12.121762
## 2003-12-01 12.298138 12.468902 12.298138 12.468902    1340100    12.468902
## 2003-12-02 12.468902 12.468902 12.398351 12.413585    2511900    12.413585
## 2003-12-03 12.476117 12.486539 12.370292 12.370292     824400    12.370292
## 2003-12-04 12.370294 12.370294 12.246029 12.285314     709200    12.285314
## 2003-12-05 12.268472 12.295731 12.200329 12.262059    1263600    12.262059
## 2003-12-08 12.246026 12.298137 12.238811 12.286113     753300    12.286113
## 2003-12-09 12.354255 12.374297 12.234801 12.234801    1598400    12.234801
## 2003-12-10 12.298135 12.306153 12.161847 12.185898     561600    12.185898
## 2003-12-11 12.294127 12.415184 12.282102 12.407969     819000    12.407969
## 2003-12-12 12.464895 12.466498 12.427214 12.464895    1101600    12.464895
## 2003-12-15 12.569112 12.588353 12.442442 12.474511    1232100    12.474511
## 2003-12-16 12.486537 12.486537 12.363876 12.422401     669600    12.422401
## 2003-12-17 12.343032 12.343032 12.248430 12.278093    1114200    12.278093
## 2003-12-18 12.328603 12.476117 12.328603 12.476117     657900    12.476117
## 2003-12-19 12.446450 12.523414 12.446450 12.506577     559800    12.506577
## 2003-12-22 12.554334 12.683179 12.526149 12.683179    1562400    12.683179
## 2003-12-23 12.683177 12.717804 12.656603 12.717804    1328400    12.717804
## 2003-12-24 12.757266 12.779814 12.731498 12.758877     279000    12.758877
## 2003-12-26 12.803969 12.803969 12.780613 12.791084     216900    12.791084
## 2003-12-29 12.884502 12.984356 12.868395 12.984356    1450800    12.984356
## 2003-12-30 13.060857 13.114005 13.042336 13.046361    1374300    13.046361
## 2003-12-31 13.119776 13.224542 13.119776 13.210840     979200    13.210840
## 2004-01-02 13.305132 13.570267 13.305132 13.504992    1845000    13.504992
## 2004-01-05 13.877307 13.978848 13.780601 13.978848    2981700    13.978848
## 2004-01-06 13.978848 13.978848 13.800749 13.820895    3776400    13.820895
## 2004-01-07 13.740311 13.853134 13.740311 13.853134    1075500    13.853134
## 2004-01-08 13.886173 13.933720 13.787049 13.905514    1148400    13.905514
## 2004-01-09 13.916795 13.991742 13.873277 13.880530    1143900    13.880530
## 2004-01-12 13.913572 13.929691 13.815254 13.868443    1753200    13.868443
## 2004-01-13 13.897454 13.909542 13.744336 13.789465    1361700    13.789465
## 2004-01-14 13.741108 13.833784 13.736272 13.811218    1150200    13.811218
## 2004-01-15 13.756423 13.757228 13.510628 13.529164    1397700    13.529164
## 2004-01-16 13.518691 13.589609 13.498543 13.587191    1698300    13.587191
## 2004-01-20 13.861190 13.994159 13.834595 13.982073    1243800    13.982073
## 2004-01-21 13.979655 14.050573 13.901485 14.000607    1260000    14.000607
## 2004-01-22 13.953870 14.001415 13.851522 13.965151    1600200    13.965151
## 2004-01-23 13.982875 13.990128 13.909540 13.941774     811800    13.941774
## 2004-01-26 13.979656 14.034456 13.919215 14.034456    1946700    14.034456
## 2004-01-27 14.062660 14.105372 13.941776 13.963536    2822400    13.963536
## 2004-01-28 14.038482 14.059433 13.748365 13.766093    2428200    13.766093
## 2004-01-29 13.711294 13.739500 13.322054 13.549311    3085200    13.549311
## 2004-01-30 13.458248 13.533196 13.430042 13.530778    1413900    13.530778
## 2004-02-02 13.548504 13.551727 13.474363 13.533998    1466100    13.533998
## 2004-02-03 13.542865 13.542865 13.437295 13.458247     941400    13.458247
## 2004-02-04 13.385723 13.405869 13.337369 13.337369    1133100    13.337369
## 2004-02-05 13.297878 13.358320 13.276925 13.333337    1764000    13.333337
## 2004-02-06 13.471948 13.672612 13.459859 13.637153    1868400    13.637153
## 2004-02-09 13.780598 13.900675 13.700010 13.833787     882000    13.833787
## 2004-02-10 13.838625 13.851520 13.789466 13.821702     665100    13.821702
## 2004-02-11 13.864418 14.053800 13.824122 14.036070    2990700    14.036070
## 2004-02-12 14.100535 14.100535 13.998187 14.028811    2559600    14.028811
## 2004-02-13 14.187572 14.195631 14.029618 14.038484    1157400    14.038484
## 2004-02-17 14.231898 14.320544 14.169039 14.320544    2004300    14.320544
## 2004-02-18 14.337462 14.337462 14.111815 14.125514     894600    14.125514
## 2004-02-19 14.127937 14.165009 14.002219 14.002219    1216800    14.002219
## 2004-02-20 13.861187 13.877305 13.729022 13.845069    2828700    13.845069
## 2004-02-23 13.925657 13.949026 13.706456 13.724185    1368000    13.724185
## 2004-02-24 13.693565 13.693565 13.619426 13.651660     950400    13.651660
## 2004-02-25 13.698404 13.803169 13.679063 13.800752     752400    13.800752
## 2004-02-26 13.871667 13.871667 13.811224 13.869249    1440000    13.869249
## 2004-02-27 14.028006 14.095701 13.990130 14.065883    2112300    14.065883
## 2004-03-01 14.170650 14.400326 14.161785 14.386626    1488600    14.386626
## 2004-03-02 14.402747 14.402747 14.270581 14.272193    1095300    14.272193
## 2004-03-03 14.182737 14.194021 14.086838 14.183544    2036700    14.183544
## 2004-03-04 14.223838 14.284280 14.206915 14.280250     837900    14.280250
## 2004-03-05 14.280249 14.354391 14.223838 14.332631    1043100    14.332631
## 2004-03-08 14.393073 14.425309 14.195632 14.195632    1356300    14.195632
## 2004-03-09 14.239953 14.239953 14.023171 14.102954    1146600    14.102954
## 2004-03-10 14.119072 14.119072 13.752395 13.780601    3870900    13.780601
## 2004-03-11 13.603311 13.637964 13.482428 13.482428    3832200    13.482428
## 2004-03-12 13.498541 13.627483 13.498541 13.595247    1795500    13.595247
## 2004-03-15 13.490483 13.518689 13.341394 13.341394    2127600    13.341394
## 2004-03-16 13.409897 13.510631 13.401837 13.506603    2355300    13.506603
## 2004-03-17 13.659716 13.714518 13.629094 13.691952    3899700    13.691952
## 2004-03-18 13.730635 13.774960 13.660524 13.772543    1188000    13.772543
## 2004-03-19 13.826536 13.826536 13.591218 13.591218    2424600    13.591218
## 2004-03-22 13.684702 13.684702 13.296265 13.373630    3333600    13.373630
## 2004-03-23 13.457443 13.521915 13.457443 13.508214    1305000    13.508214
## 2004-03-24 13.560595 13.582354 13.502571 13.518689     889200    13.518689
## 2004-03-25 13.553342 13.655690 13.538838 13.650855    1724400    13.650855
## 2004-03-26 13.651660 13.687119 13.623454 13.625872    1903500    13.625872
## 2004-03-29 13.820898 13.837016 13.794303 13.800752    1031400    13.800752
## 2004-03-30 13.899069 13.980463 13.881339 13.969985    2089800    13.969985
## 2004-03-31 14.094896 14.143250 14.064273 14.143250    1773900    14.143250
## 2004-04-01 14.174677 14.267353 14.173066 14.258490    1648800    14.258490
## 2004-04-02 14.421279 14.433367 14.371314 14.401132    4001400    14.401132
## 2004-04-05 14.520400 14.520400 14.473659 14.501864    1177200    14.501864
## 2004-04-06 14.507505 14.586482 14.501864 14.582453     721800    14.582453
## 2004-04-07 14.659012 14.663847 14.465601 14.530071    1936800    14.530071
## 2004-04-08 14.669487 14.675129 14.505088 14.542157     802800    14.542157
## 2004-04-12 14.650960 14.699312 14.621947 14.654183    1048500    14.654183
## 2004-04-13 14.663047 14.663047 14.452711 14.483335    1538100    14.483335
## 2004-04-14 14.375341 14.375341 14.258489 14.269770    2323800    14.269770
## 2004-04-15 14.276216 14.276216 14.064269 14.151304    1017000    14.151304
## 2004-04-16 14.195633 14.280251 14.136805 14.256075    1371600    14.256075
## 2004-04-19 14.254462 14.280250 14.213361 14.280250    1085400    14.280250
## 2004-04-20 14.343109 14.343109 14.111015 14.155337    2962800    14.155337
## 2004-04-21 14.138415 14.138415 14.031233 14.050574    1021500    14.050574
## 2004-04-22 13.925661 14.052991 13.886978 14.046543    3693600    14.046543
## 2004-04-23 14.102952 14.235922 14.102952 14.151304    1196100    14.151304
## 2004-04-26 14.155335 14.155335 13.945806 13.949836    1556100    13.949836
## 2004-04-27 14.018337 14.021560 13.875695 13.875695     837000    13.875695
## 2004-04-28 13.845881 13.845881 13.459862 13.478397    3704400    13.478397
## 2004-04-29 13.297070 13.297070 12.997282 13.034353    5024700    13.034353
## 2004-04-30 12.914277 12.985196 12.740207 12.757130    4438800    12.757130
## 2004-05-03 12.795815 12.886074 12.779699 12.885269    2169900    12.885269
## 2004-05-04 13.154431 13.210842 13.033548 13.137507    1849500    13.137507
## 2004-05-05 13.183439 13.235017 13.106075 13.169740    1089900    13.169740
## 2004-05-06 12.974719 12.989225 12.868342 12.896548    3132000    12.896548
## 2004-05-07 12.741013 12.741013 12.514558 12.606429    5904900    12.606429
## 2004-05-10 12.090665 12.176895 11.988318 11.997988    4054500    11.997988
## 2004-05-11 12.210741 12.370306 12.205100 12.354188    3686400    12.354188
## 2004-05-12 12.380783 12.434776 12.023777 12.358218    7226100    12.358218
## 2004-05-13 12.201069 12.396899 12.184951 12.325981    3628800    12.325981
## 2004-05-14 12.214770 12.235724 11.877912 12.001212    7549200    12.001212
## 2004-05-17 11.524130 11.844872 11.520100 11.520906    4436100    11.520906
## 2004-05-18 11.902894 11.966559 11.753806 11.863405    2379600    11.863405
## 2004-05-19 12.535513 12.537126 12.177702 12.191401    4035600    12.191401
## 2004-05-20 12.218798 12.239752 12.093886 12.116452    3769200    12.116452
## 2004-05-21 12.332429 12.434776 12.315506 12.315506    3830400    12.315506
## 2004-05-24 12.691853 12.691853 12.398511 12.507305    2328300    12.507305
## 2004-05-25 12.489576 12.805483 12.410600 12.782917    3232800    12.782917
## 2004-05-26 12.878014 12.878014 12.709584 12.732954    1452600    12.732954
## 2004-05-27 12.965851 12.988415 12.862697 12.934420    1737000    12.934420
## 2004-05-28 13.071424 13.071424 12.861894 12.906216     847800    12.906216
## 2004-06-01 12.918304 12.918304 12.777275 12.816762    2627100    12.816762
## 2004-06-02 12.801451 12.852221 12.684599 12.816762    2570400    12.816762
## 2004-06-03 12.559691 12.620938 12.521007 12.532290    2385000    12.532290
## 2004-06-04 12.662845 12.768416 12.652369 12.716839    2214900    12.716839
## 2004-06-07 12.966660 13.172161 12.845778 13.156043    2310300    13.156043
## 2004-06-08 13.095600 13.095600 12.894130 12.973106    3527100    12.973106
## 2004-06-09 12.865117 12.865117 12.670899 12.679764    1899000    12.679764
## 2004-06-10 12.661229 12.716835 12.646723 12.694270    1696500    12.694270
## 2004-06-14 12.342100 12.345324 12.205101 12.205101    3090600    12.205101
## 2004-06-15 12.425910 12.531482 12.388034 12.441223    1977300    12.441223
## 2004-06-16 12.447670 12.447670 12.259900 12.274404    2049300    12.274404
## 2004-06-17 12.268762 12.396897 12.250226 12.335650    2328300    12.335650
## 2004-06-18 12.463787 12.463787 12.168835 12.265541    2426400    12.265541
## 2004-06-21 12.481518 12.481518 12.320342 12.321954     876600    12.321954
## 2004-06-22 12.384005 12.485546 12.342099 12.452505     971100    12.452505
## 2004-06-23 12.458954 12.688631 12.402542 12.674124    1182600    12.674124
## 2004-06-24 12.875596 12.876401 12.723283 12.724895    1177200    12.724895
## 2004-06-25 12.848195 12.904607 12.836108 12.853836     845100    12.853836
## 2004-06-28 12.982776 12.982776 12.737787 12.744235    1017900    12.744235
## 2004-06-29 12.732951 12.853833 12.732951 12.841747     727200    12.841747
## 2004-06-30 12.938451 13.086734 12.828852 13.025487    3212100    13.025487
## 2004-07-01 12.935231 12.957798 12.836914 12.862702    2195100    12.862702
## 2004-07-02 12.894132 12.938454 12.855447 12.861896    1892700    12.861896
## 2004-07-06 12.902188 12.906217 12.724088 12.724088    1564200    12.724088
## 2004-07-07 12.749072 12.962631 12.749072 12.890102    1983600    12.890102
## 2004-07-08 12.813540 12.834493 12.706356 12.706356    1692900    12.706356
## 2004-07-09 12.773247 12.872371 12.751489 12.774054    1484100    12.774054
## 2004-07-12 12.740207 12.767607 12.652366 12.741014    1049400    12.741014
## 2004-07-13 12.800652 12.822410 12.724092 12.799040    1014300    12.799040
## 2004-07-14 12.734563 12.792586 12.676539 12.676539    1017900    12.676539
## 2004-07-15 12.614486 12.655587 12.547598 12.610458    3766500    12.610458
## 2004-07-16 12.794198 12.812734 12.732951 12.749069     983700    12.749069
## 2004-07-19 12.761157 12.819181 12.665257 12.729728     995400    12.729728
## 2004-07-20 12.741016 12.783728 12.678963 12.783728    1849500    12.783728
## 2004-07-21 12.893322 12.893322 12.587087 12.636245    1780200    12.636245
## 2004-07-22 12.524228 12.636245 12.475069 12.636245    3069000    12.636245
## 2004-07-23 12.602399 12.602399 12.365468 12.418657    1970100    12.418657
## 2004-07-26 12.400126 12.452508 12.273602 12.303420    1141200    12.303420
## 2004-07-27 12.330011 12.537929 12.330011 12.537929    1133100    12.537929
## 2004-07-28 12.490382 12.535512 12.390452 12.533900    1314000    12.533900
## 2004-07-29 12.517781 12.612070 12.476682 12.612070    2531700    12.612070
## 2004-07-30 12.618519 12.635441 12.533901 12.551630    2052900    12.551630
## 2004-08-02 12.492800 12.512142 12.459759 12.488772    2377800    12.488772
## 2004-08-03 12.488768 12.587086 12.478292 12.503275    2743200    12.503275
## 2004-08-04 12.479101 12.515365 12.394482 12.515365    2527200    12.515365
## 2004-08-05 12.700717 12.708777 12.433970 12.434776    2399400    12.434776
## 2004-08-06 12.473460 12.475072 12.330012 12.344518    1493100    12.344518
## 2004-08-09 12.491187 12.531483 12.447670 12.447670     726300    12.447670
## 2004-08-10 12.438804 12.604816 12.438804 12.587893     963900    12.587893
## 2004-08-11 12.458957 12.480716 12.348551 12.471045    1772100    12.471045
## 2004-08-12 12.450894 12.458952 12.331622 12.331622     736200    12.331622
## 2004-08-13 12.487158 12.489575 12.333234 12.350964    1442700    12.350964
## 2004-08-16 12.358216 12.539540 12.358216 12.519392    1655100    12.519392
## 2004-08-17 12.561300 12.637857 12.530676 12.603205    1665000    12.603205
## 2004-08-18 12.576612 12.753099 12.533900 12.752294    1214100    12.752294
## 2004-08-19 12.890103 12.890103 12.721674 12.765996    1306800    12.765996
## 2004-08-20 12.785335 12.889294 12.765188 12.829659    1683000    12.829659
## 2004-08-23 12.846585 12.936040 12.757132 12.898969    2262600    12.898969
## 2004-08-24 12.865926 12.923949 12.845778 12.861896     881100    12.861896
## 2004-08-25 12.894130 13.019042 12.878012 13.015012    1098900    13.015012
## 2004-08-26 13.063366 13.063366 13.005342 13.032743    1036800    13.032743
## 2004-08-27 13.067394 13.068200 13.004535 13.008565    1988100    13.008565
## 2004-08-30 12.966661 12.966661 12.910249 12.938455     738900    12.938455
## 2004-08-31 12.954570 13.010176 12.898964 12.994865    2889000    12.994865
## 2004-09-01 13.094794 13.102048 12.998895 13.102048    3053700    13.102048
## 2004-09-02 13.152011 13.284983 13.093987 13.264835    2511900    13.264835
## 2004-09-03 13.208423 13.208423 13.087540 13.123805    2269800    13.123805
## 2004-09-07 13.156845 13.252746 13.156040 13.224540    2881800    13.224540
## 2004-09-08 13.115750 13.276927 13.115750 13.216485    1415700    13.216485
## 2004-09-09 13.168130 13.284177 13.168130 13.256778    2348100    13.256778
## 2004-09-10 13.309158 13.430846 13.297069 13.382493     851400    13.382493
## 2004-09-13 13.486456 13.554956 13.478396 13.504992    1343700    13.504992
## 2004-09-14 13.579130 13.579130 13.490484 13.500154    1825200    13.500154
## 2004-09-15 13.520300 13.526748 13.414730 13.440518    1323000    13.440518
## 2004-09-16 13.595249 13.651661 13.558985 13.608948    1190700    13.608948
## 2004-09-17 13.569459 13.772542 13.567042 13.700012    1954800    13.700012
## 2004-09-20 13.721771 13.740307 13.567043 13.713713    1203300    13.713713
## 2004-09-21 13.780601 13.924049 13.772543 13.857160    2047500    13.857160
## 2004-09-22 13.780600 13.794299 13.646017 13.647630    1795500    13.647630
## 2004-09-23 13.571073 13.712103 13.567850 13.708073    1719900    13.708073
## 2004-09-24 13.675030 13.683895 13.618618 13.669388    1989900    13.669388
## 2004-09-27 13.658914 13.658914 13.526749 13.587996    2089800    13.587996
## 2004-09-28 13.617008 13.778991 13.617008 13.756426    1298700    13.756426
## 2004-09-29 13.724189 13.837013 13.701624 13.828955     530100    13.828955
## 2004-09-30 13.845075 13.901488 13.796723 13.901488    1413900    13.901488
## 2004-10-01 13.988520 14.183544 13.965956 14.167426    2111400    14.167426
## 2004-10-04 14.312489 14.438208 14.282672 14.409195    2671200    14.409195
## 2004-10-05 14.268967 14.369703 14.231898 14.302814    2332800    14.302814
## 2004-10-06 14.320543 14.468021 14.293950 14.468021    2286000    14.468021
## 2004-10-07 14.409187 14.411605 14.304421 14.344717    3072600    14.344717
## 2004-10-08 14.328601 14.385011 14.206106 14.239953    1929600    14.239953
## 2004-10-11 14.307649 14.322961 14.264132 14.314096    1278000    14.314096
## 2004-10-12 14.062661 14.093284 13.974013 14.088449    3061800    14.088449
## 2004-10-13 14.071523 14.071523 13.805581 13.897452    4212900    13.897452
## 2004-10-14 13.841043 13.880531 13.687926 13.708073    1920600    13.708073
## 2004-10-15 13.720968 13.937751 13.720968 13.891009     775800    13.891009
## 2004-10-18 13.946613 14.057824 13.925661 14.038484    1413900    14.038484
## 2004-10-19 14.155337 14.218196 13.970790 13.970790    1402200    13.970790
## 2004-10-20 13.948228 13.958704 13.830569 13.882951    3414600    13.882951
## 2004-10-21 13.957898 14.082811 13.941780 14.082811    1761300    14.082811
## 2004-10-22 14.123101 14.123101 13.965955 13.982073    1204200    13.982073
## 2004-10-25 13.941778 14.019950 13.867639 14.019950    3783600    14.019950
## 2004-10-26 14.014308 14.086838 13.989327 14.070720    2438100    14.070720
## 2004-10-27 14.140829 14.344718 14.112623 14.312482    3141000    14.312482
## 2004-10-28 14.243980 14.344716 14.165004 14.241562    3662100    14.241562
## 2004-10-29 14.268163 14.320545 14.236734 14.297174    4755600    14.297174
## 2004-11-01 14.419670 14.429340 14.334245 14.403552    1892700    14.403552
## 2004-11-02 14.465601 14.575201 14.425306 14.436588    1888200    14.436588
## 2004-11-03 14.763776 14.787952 14.631610 14.646923    2423700    14.646923
## 2004-11-04 14.659016 14.921735 14.639675 14.868546    7040700    14.868546
## 2004-11-05 14.949126 14.953156 14.884656 14.924950    5571000    14.924950
## 2004-11-08 14.836309 14.852425 14.748467 14.756526    1092600    14.756526
## 2004-11-09 14.828251 14.856457 14.805686 14.851621    1039500    14.851621
## 2004-11-10 14.949134 14.953164 14.858070 14.868546    1553400    14.868546
## 2004-11-11 14.908835 15.066788 14.887883 15.037777    1473300    15.037777
## 2004-11-12 15.098225 15.309366 15.007159 15.291635    3261600    15.291635
## 2004-11-15 15.368191 15.369803 15.239249 15.306138    2475900    15.306138
## 2004-11-16 15.315807 15.315807 15.118365 15.131260     964800    15.131260
## 2004-11-17 15.432667 15.559995 15.389954 15.472959    4002300    15.472959
## 2004-11-18 15.381893 15.602704 15.381893 15.501163    1527300    15.501163
## 2004-11-19 15.476986 15.481016 15.279546 15.279546    1489500    15.279546
## 2004-11-22 15.274706 15.384307 15.150601 15.339178    2629800    15.339178
## 2004-11-23 15.308553 15.428630 15.303718 15.365771    2463300    15.365771
## 2004-11-24 15.521311 15.547099 15.473763 15.529370    2287800    15.529370
## 2004-11-26 15.613993 15.798540 15.592234 15.787257    1315800    15.787257
## 2004-11-29 15.803371 15.804178 15.690547 15.690547    5048100    15.690547
## 2004-11-30 15.819485 15.819485 15.709080 15.719555    3993300    15.719555
## 2004-12-01 15.811429 15.863813 15.767107 15.839635    6652800    15.839635
## 2004-12-02 15.956486 15.956486 15.803369 15.816263    2802600    15.816263
## 2004-12-03 15.806590 15.892015 15.771131 15.887985    1987200    15.887985
## 2004-12-06 15.875898 15.875898 15.755014 15.865420    1561500    15.865420
## 2004-12-07 15.835604 15.835604 15.562411 15.622046    2119500    15.622046
## 2004-12-08 15.569661 15.569661 15.411708 15.539843    2682000    15.539843
## 2004-12-09 15.271487 15.373030 15.173169 15.286800    3485700    15.286800
## 2004-12-10 15.158662 15.283573 15.090968 15.271485    2543400    15.271485
## 2004-12-13 15.424603 15.503581 15.339986 15.503581    2016000    15.503581
## 2004-12-14 15.551130 15.658312 15.529372 15.646224    2101500    15.646224
## 2004-12-15 15.803371 15.863006 15.763077 15.863006    2272500    15.863006
## 2004-12-16 15.902497 15.902497 15.668790 15.783225    1358100    15.783225
## 2004-12-17 15.812236 15.847694 15.714725 15.746959    2043000    15.746959
## 2004-12-20 15.916190 15.954067 15.759042 15.952454    1858500    15.952454
## 2004-12-21 15.996780 16.107188 15.916193 16.105576    2205900    16.105576
## 2004-12-22 16.123301 16.149895 16.066889 16.101543    3082500    16.101543
## 2004-12-23 16.240468 16.240468 16.125448 16.211102    2463300    16.211102
## 2004-12-27 16.257593 16.270645 16.172757 16.198860    1151100    16.198860
## 2004-12-28 16.276352 16.312244 16.262485 16.282877    1299600    16.282877
## 2004-12-29 16.336724 16.372616 16.294306 16.372616    1217700    16.372616
## 2004-12-30 16.416657 16.429709 16.321217 16.331005    2145600    16.331005
## 2004-12-31 16.469689 16.469689 16.393826 16.465611    1507500    16.465611
## 2005-01-03 16.453360 16.514540 16.264110 16.294292    4275000    16.294292
## 2005-01-04 16.253518 16.261675 15.792627 15.792627    4205700    15.792627
## 2005-01-05 15.776309 15.806491 15.596846 15.599294    3006900    15.599294
## 2005-01-06 15.649872 15.671895 15.509565 15.588691    2268000    15.588691
## 2005-01-07 15.694735 15.724103 15.539747 15.618873    4920300    15.618873
## 2005-01-10 15.711052 15.793442 15.633557 15.638452    2007000    15.638452
## 2005-01-11 15.711055 15.715134 15.581353 15.609087    2440800    15.609087
## 2005-01-12 15.711055 15.801601 15.594405 15.800786    3574800    15.800786
## 2005-01-13 15.848912 15.857885 15.723290 15.735524    2884500    15.735524
## 2005-01-14 15.906834 16.016958 15.662111 16.016958    4399200    16.016958
## 2005-01-18 16.007982 16.007982 15.894596 15.988406    2329200    15.988406
## 2005-01-19 16.068339 16.068339 15.768148 15.768148    2631600    15.768148
## 2005-01-20 15.784471 15.802418 15.572380 15.572380    4074300    15.572380
## 2005-01-21 15.866044 15.886438 15.723292 15.784471    3189600    15.784471
## 2005-01-24 15.977795 15.980243 15.744497 15.759995    4424400    15.759995
## 2005-01-25 15.866043 15.996561 15.849728 15.902752    2938500    15.902752
## 2005-01-26 16.151546 16.151546 15.988400 16.135231    3998700    16.135231
## 2005-01-27 16.140949 16.171947 16.095266 16.150738    2467800    16.150738
## 2005-01-28 16.188253 16.204569 16.096892 16.165413    1911600    16.165413
## 2005-01-31 16.314700 16.457455 16.311437 16.378328    3035700    16.378328
## 2005-02-01 16.476211 16.551257 16.419110 16.518629    4391100    16.518629
## 2005-02-02 16.520255 16.570831 16.477837 16.570831    2074500    16.570831
## 2005-02-03 16.518627 16.570018 16.471315 16.553703    1639800    16.553703
## 2005-02-04 16.651591 16.836763 16.608359 16.812292    2437200    16.812292
## 2005-02-07 16.836765 16.891421 16.836765 16.865316    3883500    16.865316
## 2005-02-08 16.897945 16.922417 16.838397 16.897945    3652200    16.897945
## 2005-02-09 16.938736 16.949340 16.819639 16.843296    1933200    16.843296
## 2005-02-10 16.783749 16.925686 16.764171 16.924871    1835100    16.924871
## 2005-02-11 16.960758 17.169586 16.893867 17.089645    3395700    17.089645
## 2005-02-14 17.212002 17.247078 17.163057 17.212002    2181600    17.212002
## 2005-02-15 17.265026 17.334363 17.195688 17.252790    2188800    17.252790
## 2005-02-16 17.252793 17.258503 17.154090 17.199770    2810700    17.199770
## 2005-02-17 17.265028 17.287868 17.171219 17.171219    2733300    17.171219
## 2005-02-18 17.260947 17.406149 17.252791 17.382492    2485800    17.382492
## 2005-02-22 17.473038 17.570926 17.285419 17.318865    3030300    17.318865
## 2005-02-23 17.497507 17.497507 17.366991 17.398804    3665700    17.398804
## 2005-02-24 17.587246 17.698185 17.485279 17.668819    4342500    17.668819
## 2005-02-25 17.823813 18.031825 17.755290 17.994301    3551400    17.994301
## 2005-02-28 18.150102 18.152549 17.887436 17.964115    3399300    17.964115
## 2005-03-01 17.989400 18.027740 17.924959 18.014690    2586600    18.014690
## 2005-03-02 17.865410 17.886619 17.701447 17.717762    4113900    17.717762
## 2005-03-03 17.864591 17.864591 17.660658 17.766705    3303000    17.766705
## 2005-03-04 17.943715 18.017131 17.909453 17.978792    2894400    17.978792
## 2005-03-07 18.029368 18.141940 18.022027 18.097075    6369300    18.097075
## 2005-03-08 18.109316 18.109316 17.955958 17.959219    4140000    17.959219
## 2005-03-09 17.986950 18.052208 17.824619 17.856432    9405900    17.856432
## 2005-03-10 17.742226 17.823799 17.645153 17.685123    6785100    17.685123
## 2005-03-11 17.700633 17.823809 17.563587 17.585613    7883100    17.585613
## 2005-03-14 17.539114 17.632108 17.383309 17.451015    5286600    17.451015
## 2005-03-15 17.424098 17.424098 16.999915 17.016230   10213200    17.016230
## 2005-03-16 16.926500 17.088017 16.805772 16.871847    9432900    16.871847
## 2005-03-17 16.871844 17.199769 16.860422 17.179375    5334300    17.179375
## 2005-03-18 17.293575 17.293575 17.049671 17.101877    3633300    17.101877
## 2005-03-21 17.108409 17.110857 16.808219 16.854717    7577100    16.854717
## 2005-03-22 16.828609 17.043147 16.494973 16.543102    9414000    16.543102
## 2005-03-23 16.322854 16.574916 16.314695 16.333458    9893700    16.333458
## 2005-03-24 16.396269 16.600204 16.314696 16.315512    7579800    16.315512
## 2005-03-28 16.551260 16.551260 16.336722 16.428085    4377600    16.428085
## 2005-03-29 16.363644 16.363644 15.976169 16.003088    9969300    16.003088
## 2005-03-30 16.233123 16.437057 16.118921 16.367718    7332300    16.367718
## 2005-03-31 16.323669 16.600204 16.323669 16.543102    8780400    16.543102
## 2005-04-01 16.600207 17.026021 16.600207 16.640995   16286400    16.640995
## 2005-04-04 16.710328 16.710328 16.482739 16.677700    6831000    16.677700
## 2005-04-05 16.681777 16.804138 16.655673 16.673620    6283800    16.673620
## 2005-04-06 16.804132 17.096982 16.804132 16.902021    7750800    16.902021
## 2005-04-07 16.975442 17.089646 16.926497 17.072514    7542900    17.072514
## 2005-04-08 17.032543 17.051304 16.963205 16.991755    4489200    16.991755
## 2005-04-11 16.928940 16.941992 16.680956 16.828604    4360500    16.828604
## 2005-04-12 16.828614 17.040705 16.567580 17.040705    9810000    17.040705
## 2005-04-13 16.950962 16.950962 16.701349 16.701349    8005500    16.701349
## 2005-04-14 16.640986 16.640986 16.258405 16.273905   11493000    16.273905
## 2005-04-15 16.192337 16.299199 15.906831 15.931303   10748700    15.931303
## 2005-04-18 15.825255 16.119736 15.806494 16.119736    8464500    16.119736
## 2005-04-19 16.212725 16.395450 16.212725 16.389740   10558800    16.389740
## 2005-04-20 16.404430 16.404430 16.003088 16.003088    5861700    16.003088
## 2005-04-21 16.176023 16.472135 16.152366 16.463978    8097300    16.463978
## 2005-04-22 16.412584 16.432160 16.151548 16.282066    3726900    16.282066
## 2005-04-25 16.379954 16.607544 16.351404 16.590414    5287500    16.590414
## 2005-04-26 16.477842 16.582255 16.377505 16.420740    7710300    16.420740
## 2005-04-27 16.306539 16.377508 16.167865 16.272278    5884200    16.272278
## 2005-04-28 16.192338 16.192338 15.982695 16.012877    5853600    16.012877
## 2005-04-29 16.192338 16.370168 16.030007 16.336723    8967600    16.336723
## 2005-05-02 16.416659 16.640987 16.314692 16.445210    8076600    16.445210
## 2005-05-03 16.437060 16.499870 16.368537 16.429718    4197600    16.429718
## 2005-05-04 16.477845 16.932210 16.477845 16.877556   13998600    16.877556
## 2005-05-05 16.926499 17.078226 16.755195 16.966471    8592300    16.966471
## 2005-05-06 16.942807 17.077402 16.942807 17.012144    5188500    17.012144
## 2005-05-09 16.885711 17.075777 16.885711 17.027649    2353500    17.027649
## 2005-05-10 16.820457 16.875927 16.640995 16.645073   11310300    16.645073
## 2005-05-11 16.722559 16.740503 16.513731 16.722559    4614300    16.722559
## 2005-05-12 16.685852 16.730718 16.396266 16.437054    7258500    16.437054
## 2005-05-13 16.477843 16.482737 16.234754 16.268200   14046300    16.268200
## 2005-05-16 16.355485 16.461529 16.261674 16.461529    6050700    16.461529
## 2005-05-17 16.346514 16.517002 16.300832 16.465611    5792400    16.465611
## 2005-05-18 16.518629 16.885710 16.518629 16.793531    9004500    16.793531
## 2005-05-19 16.838402 16.893871 16.783747 16.854717    4374900    16.854717
## 2005-05-20 16.791083 16.820450 16.687485 16.812292    3003300    16.812292
## 2005-05-23 16.747034 16.902024 16.729088 16.867762    4296600    16.867762
## 2005-05-24 16.785375 16.818821 16.755193 16.818821    2808000    16.818821
## 2005-05-25 16.785376 16.785376 16.681777 16.698092    2107800    16.698092
## 2005-05-26 16.783743 16.925680 16.779665 16.885710    2253600    16.885710
## 2005-05-27 16.959129 17.021941 16.923237 16.999916    1422900    16.999916
## 2005-05-31 16.967281 16.967281 16.832685 16.853079    2979000    16.853079
## 2005-06-01 16.804138 17.065173 16.794351 17.052122   12789000    17.052122
## 2005-06-02 17.032541 17.186714 17.016226 17.181820    4039200    17.181820
## 2005-06-03 17.186716 17.251976 17.061909 17.092907    5648400    17.092907
## 2005-06-06 17.131248 17.268291 17.097803 17.265028    3159900    17.265028
## 2005-06-07 17.229951 17.337629 17.154903 17.179375    5063400    17.179375
## 2005-06-08 17.241369 17.287051 17.111667 17.114115    3300300    17.114115
## 2005-06-09 17.105960 17.399626 16.986048 17.203848    2521200    17.203848
## 2005-06-10 17.644342 17.644342 17.135324 17.252790    1604100    17.252790
## 2005-06-13 17.277259 17.375148 17.203842 17.321308    2461200    17.321308
## 2005-06-14 17.358022 17.394730 17.289500 17.392284    3508500    17.392284
## 2005-06-15 17.392281 17.521982 17.333548 17.521982    4562400    17.521982
## 2005-06-16 17.497510 17.705523 17.497510 17.678604    7155300    17.678604
## 2005-06-17 17.717760 17.908641 17.717760 17.891512    9405000    17.891512
## 2005-06-20 17.717760 17.776493 17.605189 17.729996    3104400    17.729996
## 2005-06-21 17.693290 17.693290 17.619874 17.644346    1580100    17.644346
## 2005-06-22 17.864593 17.871934 17.695736 17.810755    1702500    17.810755
## 2005-06-23 17.815646 17.815646 17.475485 17.497509    3368400    17.497509
## 2005-06-24 17.475484 17.509745 17.399622 17.436329    2401500    17.436329
## 2005-06-27 17.455907 17.644341 17.402068 17.546453    2256000    17.546453
## 2005-06-28 17.558692 17.705523 17.546455 17.678604    2268000    17.678604
## 2005-06-29 17.717758 17.717758 17.551349 17.575821    2398800    17.575821
## 2005-06-30 17.849908 17.849908 17.162243 17.521982    6049800    17.521982
## 2005-07-01 17.678607 17.695737 17.534222 17.585613    3820200    17.585613
## 2005-07-05 17.497509 17.663919 17.473037 17.663919    4650300    17.663919
## 2005-07-06 17.480383 17.668820 17.480383 17.578272    3660600    17.578272
## 2005-07-07 17.375147 17.632102 17.375147 17.629654    2380200    17.629654
## 2005-07-08 17.644344 17.825438 17.629660 17.813200    3537300    17.813200
## 2005-07-11 17.862148 18.084843 17.862148 18.084843    4310400    18.084843
## 2005-07-12 18.158257 18.327113 18.114206 18.300194    2952900    18.300194
## 2005-07-13 18.354035 18.354035 18.239015 18.287960    9842700    18.287960
## 2005-07-14 18.598754 18.598754 18.356481 18.393190    9327300    18.393190
## 2005-07-15 18.473945 18.473945 18.231670 18.292852    2388000    18.292852
## 2005-07-18 18.292855 18.292855 18.182729 18.236568    3743100    18.236568
## 2005-07-19 18.280614 18.449470 18.258589 18.444576    5014500    18.444576
## 2005-07-20 18.415218 18.488634 18.317332 18.447033    5917800    18.447033
## 2005-07-21 18.481281 18.684401 18.473941 18.647692    4680900    18.647692
## 2005-07-22 18.647697 18.655038 18.581621 18.603647    2613000    18.603647
## 2005-07-25 18.655037 18.708876 18.442131 18.442131    4800900    18.442131
## 2005-07-26 18.486182 18.547361 18.368716 18.547361    5155800    18.547361
## 2005-07-27 18.562040 18.757815 18.513096 18.647692    5392500    18.647692
## 2005-07-28 18.721111 18.941359 18.708876 18.880180    7756800    18.880180
## 2005-07-29 18.899765 18.943814 18.845926 18.867952    4639200    18.867952
## 2005-08-01 19.014773 19.176289 19.014773 19.176289    5386200    19.176289
## 2005-08-02 19.418565 19.516451 19.271732 19.516451    4568100    19.516451
## 2005-08-03 19.528689 19.545819 19.359832 19.467508    3892500    19.467508
## 2005-08-04 19.425907 19.452828 19.247262 19.296206    5318400    19.296206
## 2005-08-05 19.293761 19.296207 18.848368 18.941362    7166400    18.941362
## 2005-08-08 18.953603 19.186086 18.953603 19.071068    6216900    19.071068
## 2005-08-09 19.112667 19.477302 19.112667 19.455276    3804600    19.455276
## 2005-08-10 19.668179 19.768514 19.494427 19.663284    6550200    19.663284
## 2005-08-11 19.712231 19.712231 19.457720 19.553162    4969200    19.553162
## 2005-08-12 19.528694 19.528694 19.149377 19.345154    4800600    19.345154
## 2005-08-15 19.455274 19.526243 19.362280 19.479746    4788300    19.479746
## 2005-08-16 19.474853 19.477300 19.142033 19.142033    4863300    19.142033
## 2005-08-17 19.203215 19.244816 19.088195 19.154270    5755200    19.154270
## 2005-08-18 18.904656 18.953601 18.760271 18.801874    7233000    18.801874
## 2005-08-19 18.892419 18.916890 18.696643 18.728456    3652200    18.728456
## 2005-08-22 19.027018 19.161613 18.904656 18.960943    6493500    18.960943
## 2005-08-23 18.960941 18.960941 18.770059 18.782293    8372100    18.782293
## 2005-08-24 18.804322 18.804322 18.537577 18.537577    6586500    18.537577
## 2005-08-25 18.696639 18.818999 18.625671 18.745583    5783700    18.745583
## 2005-08-26 18.821453 18.843478 18.657490 18.721117    6064800    18.721117
## 2005-08-29 18.681955 18.929122 18.633010 18.926676    6831300    18.926676
## 2005-08-30 18.914443 18.916890 18.728456 18.728456    7609500    18.728456
## 2005-08-31 18.843474 19.129797 18.843474 19.117561    5673000    19.117561
## 2005-09-01 19.210552 19.408774 19.210552 19.381855    3919800    19.381855
## 2005-09-02 19.418567 19.577635 19.418567 19.553162    3695100    19.553162
## 2005-09-06 19.699997 19.859065 19.629030 19.797886    5546700    19.797886
## 2005-09-07 19.895775 19.895775 19.704893 19.822359    5695800    19.822359
## 2005-09-08 19.604553 19.856616 19.604553 19.790541    3900600    19.790541
## 2005-09-09 19.859062 20.118467 19.859062 20.081758    4093800    20.081758
## 2005-09-12 20.311797 20.311797 20.032815 20.052393    3704400    20.052393
## 2005-09-13 19.898219 20.035264 19.815014 19.827250    3419400    19.827250
## 2005-09-14 19.920241 19.920241 19.699992 19.756279    4386000    19.756279
## 2005-09-15 19.944720 19.964297 19.861514 19.871304    3421800    19.871304
## 2005-09-16 19.996111 20.182098 19.996111 20.177204    2344200    20.177204
## 2005-09-19 20.238381 20.250615 20.123361 20.147833    2944200    20.147833
## 2005-09-20 20.336269 20.368083 20.140491 20.201672    5556900    20.201672
## 2005-09-21 20.402346 20.409686 20.005898 20.392557    7039500    20.392557
## 2005-09-22 20.566307 20.566307 20.045053 20.189438   13828800    20.189438
## 2005-09-23 20.116018 20.209012 20.020577 20.172304    3488400    20.172304
## 2005-09-26 20.142936 20.380315 20.142936 20.350948    5961300    20.350948
## 2005-09-27 20.372975 20.372975 20.184541 20.216354    5322000    20.216354
## 2005-09-28 20.319143 20.453740 20.299566 20.446398    2720400    20.446398
## 2005-09-29 20.556518 20.835499 20.458630 20.806133    5568300    20.806133
## 2005-09-30 20.796345 20.801238 20.669090 20.771872    5457600    20.771872
## 2005-10-03 20.862415 20.952961 20.771867 20.904016   11126100    20.904016
## 2005-10-04 21.021488 21.026382 20.644619 20.708246    5229600    20.708246
## 2005-10-05 20.556516 20.877099 20.067074 20.079311    9299700    20.079311
## 2005-10-06 19.947167 19.947167 19.181192 19.376968   16650600    19.376968
## 2005-10-07 19.577629 19.939814 19.577629 19.856609   11688900    19.856609
## 2005-10-10 19.873746 20.184541 19.770963 19.790541    6595500    19.790541
## 2005-10-11 20.067070 20.164960 19.824797 19.876190    7642500    19.876190
## 2005-10-12 19.797885 19.846829 19.198320 19.266842   18120300    19.266842
## 2005-10-13 19.063726 19.161614 18.745589 19.146931   10996200    19.146931
## 2005-10-14 19.208108 19.222789 18.733349 19.073511    8911800    19.073511
## 2005-10-17 19.100430 19.406330 19.100430 19.283970   10719000    19.283970
## 2005-10-18 19.301103 19.301103 18.794531 18.794531    7567500    18.794531
## 2005-10-19 18.415217 19.193428 18.363825 19.161615   15258000    19.161615
## 2005-10-20 19.137142 19.257054 18.317328 18.390743    8560800    18.390743
## 2005-10-21 18.659932 18.929124 18.574279 18.880180    5144700    18.880180
## 2005-10-24 18.965835 19.406331 18.941363 19.389202   11245800    19.389202
## 2005-10-25 19.332915 19.357388 18.907101 19.007437    8218500    19.007437
## 2005-10-26 19.286415 19.354937 18.760266 19.075956    6779400    19.075956
## 2005-10-27 19.112673 19.137146 18.574287 18.623232    8886000    18.623232
## 2005-10-28 18.806765 19.132242 18.696641 19.112665   12135300    19.112665
## 2005-10-31 19.198320 19.626581 19.198320 19.455276   15594000    19.455276
## 2005-11-01 19.491984 19.817464 19.491984 19.797886   12283800    19.797886
## 2005-11-02 19.822355 20.177200 19.785647 20.103783    8200500    20.103783
## 2005-11-03 20.189434 20.397446 20.067073 20.125807   11960400    20.125807
## 2005-11-04 20.184545 20.184545 19.712234 20.084209    7893600    20.084209
## 2005-11-07 20.091548 20.103784 19.846827 20.098890    4339200    20.098890
## 2005-11-08 19.812568 20.037710 19.785649 19.910456    5464500    19.910456
## 2005-11-09 19.920244 20.235934 19.885983 20.209015    6615600    20.209015
## 2005-11-10 20.189437 20.275089 19.908008 20.240828   10086300    20.240828
## 2005-11-11 20.238385 20.304459 20.140495 20.284880    3302100    20.284880
## 2005-11-14 20.211464 20.248171 20.020581 20.231041    3023100    20.231041
## 2005-11-15 20.216356 20.309350 20.047499 20.116020    6796800    20.116020
## 2005-11-16 20.179645 20.287321 20.045048 20.287321    5853900    20.287321
## 2005-11-17 20.434156 20.649511 20.414579 20.585884   10072200    20.585884
## 2005-11-18 20.605465 20.818371 20.507575 20.642172    9530400    20.642172
## 2005-11-21 20.656856 20.727825 20.527153 20.654408    7098000    20.654408
## 2005-11-22 20.348503 20.654403 20.284875 20.644615    4916400    20.644615
## 2005-11-23 20.703348 20.960303 20.678877 20.862417    5970300    20.862417
## 2005-11-25 20.872212 20.911368 20.825715 20.847740    1453200    20.847740
## 2005-11-28 20.894231 20.979885 20.666642 20.715586    6867300    20.715586
## 2005-11-29 20.801233 20.884439 20.527147 20.532042    9563100    20.532042
## 2005-11-30 20.571195 20.764524 20.571195 20.580984    7608600    20.580984
## 2005-12-01 20.764526 21.168314 20.764526 21.119370    7673100    21.119370
## 2005-12-02 21.153639 21.266210 21.075328 21.094906    7122000    21.094906
## 2005-12-05 21.285783 21.302912 21.119372 21.266205    4209300    21.266205
## 2005-12-06 21.400807 21.547640 21.351862 21.461988    6533400    21.461988
## 2005-12-07 21.606374 21.633293 21.212374 21.258871    7268400    21.258871
## 2005-12-08 21.143847 21.334729 21.045960 21.099798    6384000    21.099798
## 2005-12-09 21.165868 21.329830 21.107135 21.315147    2322900    21.315147
## 2005-12-12 21.346965 21.618604 21.346965 21.437511    4220400    21.437511
## 2005-12-13 21.559874 21.738520 21.391017 21.718941    9045000    21.718941
## 2005-12-14 21.731175 21.731175 21.481560 21.574554    6297600    21.574554
## 2005-12-15 21.718940 21.718940 21.425275 21.486456    6546900    21.486456
## 2005-12-16 21.413038 21.535396 21.408143 21.413038    4561200    21.413038
## 2005-12-19 21.596579 21.667546 21.351857 21.364094    8100000    21.364094
## 2005-12-20 21.535395 21.584340 21.413037 21.547632    4222200    21.547632
## 2005-12-21 21.706703 21.914714 21.633286 21.897585    9747900    21.897585
## 2005-12-22 21.863321 22.000364 21.816824 21.902475    5450700    21.902475
## 2005-12-23 21.998492 22.099948 21.924257 22.033136    2106000    22.033136
## 2005-12-27 21.924253 22.270687 21.788155 21.788155    3692400    21.788155
## 2005-12-28 21.899513 21.899513 21.751041 21.847548    3779100    21.847548
## 2005-12-29 22.005912 22.005912 21.837645 21.850016    4242300    21.850016
## 2005-12-30 21.850021 21.919308 21.590196 21.837650    5410500    21.837650
## 2006-01-03 22.315228 22.703728 22.270688 22.654238   20919600    22.654238
## 2006-01-04 22.765590 22.928908 22.765590 22.859621    9089400    22.859621
## 2006-01-05 22.745795 22.975927 22.745795 22.975927    4833600    22.975927
## 2006-01-06 23.272864 23.500521 23.099648 23.455978    6328800    23.455978
## 2006-01-09 23.631674 23.733129 23.371850 23.686115    6943800    23.686115
## 2006-01-10 23.453505 23.507947 23.206054 23.401541    6392700    23.401541
## 2006-01-11 23.458456 23.678689 23.260494 23.676214    7186200    23.676214
## 2006-01-12 23.730651 23.730651 23.312457 23.347101    8059500    23.347101
## 2006-01-13 23.408968 23.495577 23.297615 23.371851    5502300    23.371851
## 2006-01-17 23.131819 23.260493 22.891790 22.963551   16205700    22.963551
## 2006-01-18 22.580003 23.183785 22.577528 22.951181   16159200    22.951181
## 2006-01-19 23.260494 23.725704 23.260494 23.693537   13730700    23.693537
## 2006-01-20 23.725703 23.842008 22.988297 22.988297   17342400    22.988297
## 2006-01-23 23.265445 23.656420 23.211005 23.656420   13689900    23.656420
## 2006-01-24 23.609403 24.030071 23.609403 24.027599   10876500    24.027599
## 2006-01-25 24.260197 24.334432 23.940984 24.039963    7494300    24.039963
## 2006-01-26 24.181021 24.609114 24.173596 24.609114    7874700    24.609114
## 2006-01-27 24.745204 25.089162 24.651175 24.891201   11523600    24.891201
## 2006-01-30 24.670977 24.856566 24.670977 24.774906    8699400    24.774906
## 2006-01-31 24.819448 24.965445 24.623959 24.938225   10566900    24.938225
## 2006-02-01 24.967908 24.992656 24.784794 24.925844    9951600    24.925844
## 2006-02-02 24.757577 24.787272 24.136473 24.284945   14202900    24.284945
## 2006-02-03 23.879126 24.284946 23.681163 23.953360   13244400    23.953360
## 2006-02-06 24.344334 24.522501 24.193390 24.522501    7114500    24.522501
## 2006-02-07 24.250307 24.349286 23.794994 23.879129   12815700    23.879129
## 2006-02-08 23.636622 24.099357 23.636622 23.953360   13062600    23.953360
## 2006-02-09 24.126581 24.334440 23.990482 24.015226    9540600    24.015226
## 2006-02-10 24.275048 24.275048 23.728178 23.978104   10590300    23.978104
## 2006-02-13 23.780144 23.834583 23.384220 23.386694   13001100    23.386694
## 2006-02-14 23.614349 24.002849 23.309984 23.978104   14792700    23.978104
## 2006-02-15 23.928612 24.250300 23.634143 23.854374   18738600    23.854374
## 2006-02-16 24.099356 24.477956 24.002849 24.473009   10565400    24.473009
## 2006-02-17 24.475487 24.542299 24.374030 24.440842    6347700    24.440842
## 2006-02-21 24.683343 24.683343 24.225555 24.225555    9556800    24.225555
## 2006-02-22 24.425994 24.549721 24.245355 24.356709    8539200    24.356709
## 2006-02-23 24.515082 24.547249 24.289900 24.349287    8505900    24.349287
## 2006-02-24 24.411145 24.534872 24.349283 24.396301    7235700    24.396301
## 2006-02-27 24.638808 24.700673 24.428474 24.619013    5115000    24.619013
## 2006-02-28 24.539821 24.539821 23.928615 23.978104   20988300    23.978104
## 2006-03-01 24.223086 24.948120 24.074614 24.641279    9530100    24.641279
## 2006-03-02 24.562092 24.683344 24.445790 24.661074   10189200    24.661074
## 2006-03-03 24.366611 24.547250 24.228036 24.250309   15171600    24.250309
## 2006-03-06 24.448268 24.448268 23.807367 23.879129   13545300    23.879129
## 2006-03-07 23.468359 23.495579 22.926439 23.037792   32533800    23.037792
## 2006-03-08 23.035314 23.213479 22.641865 23.173887   32375100    23.173887
## 2006-03-09 23.309986 23.520319 22.864572 22.938808   20971200    22.938808
## 2006-03-10 23.371852 23.505476 23.010572 23.421341   18543600    23.421341
## 2006-03-13 23.493100 23.730654 23.376797 23.396593   19936800    23.396593
## 2006-03-14 23.339680 24.126577 23.339680 24.126577   20653200    24.126577
## 2006-03-15 24.054816 24.406199 24.020174 24.406199   14973900    24.406199
## 2006-03-16 24.396299 24.418568 24.176065 24.188437   17170200    24.188437
## 2006-03-17 24.359179 24.631377 24.203285 24.359179    5374200    24.359179
## 2006-03-20 24.465586 24.604157 24.359179 24.497753    8230200    24.497753
## 2006-03-21 24.495280 24.495280 23.879126 24.002850   17346300    24.002850
## 2006-03-22 23.802414 24.324538 23.802414 24.267624   11249100    24.267624
## 2006-03-23 24.267622 24.406196 24.025121 24.042440   10087200    24.042440
## 2006-03-24 23.990483 24.430948 23.990483 24.250309    7353900    24.250309
## 2006-03-27 24.250305 24.433419 24.176068 24.398777    7625100    24.398777
## 2006-03-28 24.176067 24.324538 23.881598 23.953360   15700200    23.953360
## 2006-03-29 24.134006 24.440847 23.978112 24.411152   11307600    24.411152
## 2006-03-30 24.435893 24.841713 24.299794 24.534872   16846200    24.534872
## 2006-03-31 24.641275 24.854084 24.374026 24.497753   18236100    24.497753
## 2006-04-03 24.814496 25.289604 24.807074 25.190624   17877300    25.190624
## 2006-04-04 25.420752 25.420752 25.128758 25.339092   12881400    25.339092
## 2006-04-05 25.386110 25.598919 25.339092 25.598919   12655500    25.598919
## 2006-04-06 25.514787 25.636039 25.190626 25.467772   21627900    25.467772
## 2006-04-07 25.549422 25.611284 25.017400 25.079262   12541200    25.079262
## 2006-04-10 25.190627 25.438078 24.965446 24.992666   10635600    24.992666
## 2006-04-11 25.299502 25.299502 24.745207 24.779852   17663700    24.779852
## 2006-04-12 24.809546 24.943170 24.769957 24.923376    7422600    24.923376
## 2006-04-13 25.128755 25.128755 24.782322 25.042149    9084900    25.042149
## 2006-04-17 25.210418 25.445500 25.195571 25.339092   12517500    25.339092
## 2006-04-18 25.680579 26.200226 25.601395 26.180431   22776900    26.180431
## 2006-04-19 26.224972 26.366018 25.970096 26.341274   11622600    26.341274
## 2006-04-20 26.474896 26.477371 26.002264 26.247240   12247800    26.247240
## 2006-04-21 26.719876 26.719876 26.267038 26.452627    7167600    26.452627
## 2006-04-24 26.346232 26.346232 25.920614 26.106203    9843000    26.106203
## 2006-04-25 26.014639 26.220026 25.710273 25.747393   12576600    25.747393
## 2006-04-26 25.992365 26.291784 25.945351 26.254667   10150200    26.254667
## 2006-04-27 25.735013 26.155681 25.695421 25.841417   12132900    25.841417
## 2006-04-28 25.895861 26.133418 25.784510 26.093826    8287500    26.093826
## 2006-05-01 26.215072 26.383341 26.081447 26.086397    7207500    26.086397
## 2006-05-02 26.353647 26.596151 26.229920 26.546658    8359800    26.546658
## 2006-05-03 26.697603 26.712451 26.380865 26.576351    9237600    26.576351
## 2006-05-04 26.625850 26.969808 26.625850 26.836184    8972700    26.836184
## 2006-05-05 27.024251 27.269230 27.009403 27.269230    9864600    27.269230
## 2006-05-08 27.274175 27.529048 27.269225 27.467186    9239700    27.467186
## 2006-05-09 27.392936 27.524085 27.333546 27.491915    4636500    27.491915
## 2006-05-10 27.506781 27.506781 27.100961 27.194990   11206200    27.194990
## 2006-05-11 27.266741 27.269216 26.494690 26.502115   17960100    26.502115
## 2006-05-12 26.427881 26.450154 25.697901 25.809252   22257600    25.809252
## 2006-05-15 25.487565 25.487565 24.309694 25.190624   24311100    25.190624
## 2006-05-16 25.190622 25.524680 25.153502 25.316822   15832800    25.316822
## 2006-05-17 24.881305 25.363838 24.349283 24.448265   30187800    24.448265
## 2006-05-18 24.601683 24.752630 23.879125 23.978104   28706100    23.978104
## 2006-05-19 24.314642 24.495281 23.681164 24.495281   27077400    24.495281
## 2006-05-22 23.507951 23.527746 22.889319 23.342157   36723000    23.342157
## 2006-05-23 23.827161 24.200811 23.037787 23.087278   23924100    23.087278
## 2006-05-24 23.307516 23.470834 22.431535 22.926439   40896900    22.926439
## 2006-05-25 23.240699 24.250304 23.215953 23.901396   27125400    23.901396
## 2006-05-26 24.064716 24.077088 23.485677 23.829634   21078600    23.829634
## 2006-05-30 23.718283 23.730655 22.743321 22.802710   21595500    22.802710
## 2006-05-31 23.013041 23.408964 22.876943 23.186258   21795000    23.186258
## 2006-06-01 23.243173 23.705908 23.013043 23.661367   21657900    23.661367
## 2006-06-02 24.002851 24.143901 23.594556 23.903872   21639000    23.903872
## 2006-06-05 23.663844 23.755401 22.886844 22.889318   21981600    22.889318
## 2006-06-06 23.037788 23.060060 22.047981 22.721050   32128500    22.721050
## 2006-06-07 22.532991 22.988304 22.196457 22.221201   25623900    22.221201
## 2006-06-08 21.666902 21.936625 21.008679 21.825272   53812500    21.825272
## 2006-06-09 22.040559 22.169234 21.476368 21.540705   17875800    21.540705
## 2006-06-12 21.540703 21.634735 20.738958 20.738958   23369400    20.738958
## 2006-06-13 20.315819 20.701844 20.130230 20.278702   39589800    20.278702
## 2006-06-14 20.578118 20.860214 20.315820 20.860214   36358200    20.860214
## 2006-06-15 21.295727 22.087574 21.280882 22.075203   41565600    22.075203
## 2006-06-16 21.884660 22.122214 21.602565 21.948999   28824000    21.948999
## 2006-06-19 21.986120 22.023238 21.132410 21.132410   20487600    21.132410
## 2006-06-20 21.330373 21.614943 21.231392 21.392237   19972800    21.392237
## 2006-06-21 21.365015 22.166760 21.332847 22.085100   21750900    22.085100
## 2006-06-22 21.961373 21.961373 21.530806 21.689177   10948800    21.689177
## 2006-06-23 21.684227 21.770837 21.280882 21.652060   12987600    21.652060
## 2006-06-26 21.605043 21.748566 21.471418 21.652060    6643800    21.652060
## 2006-06-27 21.775784 22.000966 21.243763 21.243763   17815200    21.243763
## 2006-06-28 21.701549 21.916831 21.528332 21.909407   16581900    21.909407
## 2006-06-29 22.156860 23.211006 22.127167 23.211006   36345000    23.211006
## 2006-06-30 23.305037 23.458458 23.000672 23.235750   16226700    23.235750
## 2006-07-03 23.656422 23.777672 23.495578 23.750454    9471900    23.750454
## 2006-07-05 23.451036 23.455985 22.936336 23.013046   14130900    23.013046
## 2006-07-06 23.193682 23.495573 23.089751 23.483200   13339200    23.483200
## 2006-07-07 23.297617 23.408970 22.926439 23.037792   14808000    23.037792
## 2006-07-10 23.163987 23.483200 23.079853 23.223375   14485800    23.223375
## 2006-07-11 23.037788 23.384221 22.834878 23.334730   19364100    23.334730
## 2006-07-12 23.136767 23.332253 22.815079 22.815079   13653900    22.815079
## 2006-07-13 22.374615 22.627017 21.911880 21.911880   29471700    21.911880
## 2006-07-14 22.050451 22.146957 21.711443 22.023233   26451300    22.023233
## 2006-07-17 21.976216 22.060350 21.600089 21.676800   14676600    21.676800
## 2006-07-18 21.949003 22.085101 21.545655 21.978697   28726800    21.978697
## 2006-07-19 22.142013 23.334730 22.030658 23.334730   45463500    23.334730
## 2006-07-20 23.309986 23.309986 22.550309 22.664137   26586900    22.664137
## 2006-07-21 22.728476 22.839829 22.122217 22.223673   17352000    22.223673
## 2006-07-24 22.765590 23.322357 22.580001 23.223375   29593800    23.223375
## 2006-07-25 23.042737 23.423813 22.966026 23.285240   24092100    23.285240
## 2006-07-26 23.112022 23.280290 22.963550 23.186258   21140400    23.186258
## 2006-07-27 23.438660 23.891497 23.344628 23.505472   26686200    23.505472
## 2006-07-28 23.606931 24.069666 23.532697 24.010279   19556400    24.010279
## 2006-07-31 23.725704 23.869226 23.619301 23.780144   12055500    23.780144
## 2006-08-01 23.693537 23.693537 23.287715 23.396593   12905700    23.396593
## 2006-08-02 23.651472 23.903873 23.579709 23.705910   11765400    23.705910
## 2006-08-03 23.530222 23.760354 23.433717 23.681168   20232600    23.681168
## 2006-08-04 24.017698 24.190914 23.594555 23.730654   13248300    23.730654
## 2006-08-07 23.698480 23.893969 23.507944 23.582178   10211100    23.582178
## 2006-08-08 23.730650 24.039963 23.572279 23.582178   21186600    23.582178
## 2006-08-09 24.099359 24.124104 23.648996 23.671267   16465500    23.671267
## 2006-08-10 23.609401 23.913767 23.597029 23.913767   16806000    23.913767
## 2006-08-11 23.777669 23.839534 23.589606 23.624250   10008000    23.624250
## 2006-08-14 23.879125 24.022647 23.636621 23.718281   13225200    23.718281
## 2006-08-15 24.077090 24.312169 23.965736 24.299797   15625800    24.299797
## 2006-08-16 24.490328 24.604154 24.374023 24.537342   16954200    24.537342
## 2006-08-17 24.448263 24.745204 24.423519 24.571987   14195700    24.571987
## 2006-08-18 24.522498 24.522498 24.138947 24.339384   15367800    24.339384
## 2006-08-21 24.129049 24.213184 24.074609 24.213184    8211900    24.213184
## 2006-08-22 24.200812 24.336912 24.062241 24.205763   13214100    24.205763
## 2006-08-23 24.200813 24.260203 23.743029 23.767773   16609800    23.767773
## 2006-08-24 23.911297 23.911297 23.614354 23.703438   19815600    23.703438
## 2006-08-25 23.705906 23.940987 23.693536 23.770245   15732000    23.770245
## 2006-08-28 23.757870 24.039963 23.676210 24.039963   12025500    24.039963
## 2006-08-29 24.079563 24.138950 23.879127 24.121628   13001400    24.121628
## 2006-08-30 24.104306 24.250303 24.084509 24.225555    9975900    24.225555
## 2006-08-31 24.240405 24.282472 24.091936 24.156273    6705300    24.156273
## 2006-09-01 24.200809 24.492803 24.171117 24.425991   10823100    24.425991
## 2006-09-05 24.562093 24.646228 24.527451 24.559618   11867100    24.559618
## 2006-09-06 24.396297 24.396297 23.854374 23.854374   15465600    23.854374
## 2006-09-07 23.755395 23.849427 23.520314 23.582178   22688400    23.582178
## 2006-09-08 23.718279 23.817258 23.693534 23.775194   10068300    23.775194
## 2006-09-11 23.473308 23.507951 23.092231 23.262972   28418400    23.262972
## 2006-09-12 23.416389 23.728179 23.386694 23.661367   17313600    23.661367
## 2006-09-13 23.606931 24.082039 23.606931 24.015226   17062500    24.015226
## 2006-09-14 23.978107 23.978107 23.809841 23.817263   13438500    23.817263
## 2006-09-15 24.002850 24.082035 23.807364 23.958311   17227500    23.958311
## 2006-09-18 24.064717 24.416097 24.030072 24.228033   17154300    24.228033
## 2006-09-19 24.230502 24.282467 23.495570 23.854374   35435700    23.854374
## 2006-09-20 23.990475 24.398773 23.990475 24.344330   39691800    24.344330
## 2006-09-21 24.262680 24.312170 23.693541 23.750454   40404300    23.750454
## 2006-09-22 23.569811 23.611878 23.352053 23.448559   25682100    23.448559
## 2006-09-25 23.562388 23.720757 23.154093 23.720757   29428800    23.720757
## 2006-09-26 23.646523 24.005328 23.582185 24.000381   23627700    24.000381
## 2006-09-27 24.005331 24.027604 23.802420 23.945944   30248400    23.945944
## 2006-09-28 24.037502 24.138956 23.908828 24.138956   17789400    24.138956
## 2006-09-29 24.039973 24.114211 23.916249 23.945944   14059800    23.945944
## 2006-10-02 23.842006 24.193386 23.755396 23.906343   14692200    23.906343
## 2006-10-03 23.770242 23.832105 23.582178 23.582178   26399400    23.582178
## 2006-10-04 23.483198 24.250301 23.483198 24.213184   32286300    24.213184
## 2006-10-05 24.215659 24.752631 24.215659 24.534872   23440200    24.534872
## 2006-10-06 24.433417 24.532396 24.302268 24.473009   22264500    24.473009
## 2006-10-09 24.252776 24.532397 24.232981 24.381453   14041500    24.381453
## 2006-10-10 24.374027 24.601683 24.364130 24.601683   10648500    24.601683
## 2006-10-11 24.448275 24.663556 24.386410 24.470545   14990100    24.470545
## 2006-10-12 24.529921 25.116383 24.529921 25.066893   29405400    25.066893
## 2006-10-13 25.091639 25.326721 25.066894 25.215366   20139600    25.215366
## 2006-10-16 25.252481 25.356411 25.212889 25.284651   12192600    25.284651
## 2006-10-17 25.066900 25.175780 24.824397 24.953074   22278300    24.953074
## 2006-10-18 25.240111 26.180428 25.049572 25.198044   13058100    25.198044
## 2006-10-19 25.190625 25.331672 25.074324 25.309402   17712900    25.309402
## 2006-10-20 25.391061 25.391061 25.104015 25.190624    8516100    25.190624
## 2006-10-23 25.153500 25.240110 24.962964 25.168348   10940100    25.168348
## 2006-10-24 25.200520 25.311874 25.126285 25.311874   13887300    25.311874
## 2006-10-25 25.376210 25.606339 25.321771 25.606339   13429500    25.606339
## 2006-10-26 25.735019 25.742441 25.514785 25.668207   14022600    25.668207
## 2006-10-27 25.480149 25.574181 25.230223 25.240120   16726200    25.240120
## 2006-10-30 25.153502 25.153502 24.883781 25.153502   13016100    25.153502
## 2006-10-31 25.358890 25.636036 25.217843 25.636036   15638700    25.636036
## 2006-11-01 25.707796 25.816676 25.378685 25.378685   21519900    25.378685
## 2006-11-02 25.378688 25.546955 25.326724 25.457870   11107500    25.457870
## 2006-11-03 25.596439 26.229915 25.494984 25.537052   14080500    25.537052
## 2006-11-06 25.739966 26.168059 25.739966 26.143314   17758200    26.143314
## 2006-11-07 26.168055 26.274459 26.012161 26.031956   17495400    26.031956
## 2006-11-08 25.861212 26.195273 25.809247 26.098766   13207500    26.098766
## 2006-11-09 26.267036 26.477373 26.165582 26.187855   13462800    26.187855
## 2006-11-10 26.286828 26.353640 26.143306 26.224966    7724700    26.224966
## 2006-11-13 26.177962 26.326434 26.106203 26.314062    7749600    26.314062
## 2006-11-14 26.474905 26.752051 26.442735 26.724831   13497900    26.724831
## 2006-11-15 26.700084 26.801539 26.576357 26.774319    9692700    26.774319
## 2006-11-16 26.836179 26.848551 26.494693 26.504593   18023400    26.504593
## 2006-11-17 26.398193 26.474903 26.262094 26.474903   16318800    26.474903
## 2006-11-20 26.316528 26.531812 26.267035 26.370968   19312500    26.370968
## 2006-11-21 26.477376 26.791639 26.477376 26.791639   19997400    26.791639
## 2006-11-22 26.873294 27.063833 26.776787 26.979698   18803400    26.979698
## 2006-11-24 26.821333 27.051462 26.811436 26.974752    6264900    26.974752
## 2006-11-27 27.185083 27.185083 26.465000 26.465000   26716200    26.465000
## 2006-11-28 26.464999 26.618418 26.267034 26.618418   28599900    26.618418
## 2006-11-29 26.796587 27.162815 26.796587 27.048988   22907400    27.048988
## 2006-11-30 27.140548 27.360780 27.021772 27.170240   13969500    27.170240
## 2006-12-01 27.284068 27.353355 26.848553 27.058887   29047200    27.058887
## 2006-12-04 27.219730 27.682465 27.170237 27.623075   16613100    27.623075
## 2006-12-05 27.724542 28.120465 27.670103 28.105618   32339400    28.105618
## 2006-12-06 27.843312 28.043749 27.813617 27.912596   11058000    27.912596
## 2006-12-07 27.912595 28.023950 27.687414 27.813616   15916500    27.813616
## 2006-12-08 27.739383 27.892802 27.595858 27.689890   11158500    27.689890
## 2006-12-11 27.739383 27.759177 27.593383 27.702263    6801900    27.702263
## 2006-12-12 27.529043 27.566160 27.190035 27.368202   17909100    27.368202
## 2006-12-13 27.439962 27.553792 27.400370 27.516672    9894000    27.516672
## 2006-12-14 27.670086 28.006618 27.665135 27.986824   11988300    27.986824
## 2006-12-15 28.194691 28.197166 28.011577 28.110559   11638500    28.110559
## 2006-12-18 28.135305 28.298621 27.887851 27.915071   12088800    27.915071
## 2006-12-19 27.615649 27.840830 27.368198 27.739376   31979400    27.739376
## 2006-12-20 28.031264 28.101537 27.945934 28.046322   12470700    28.046322
## 2006-12-21 28.046322 28.109065 27.853071 27.996128   14906700    27.996128
## 2006-12-22 28.109064 28.134164 27.868129 28.096516    9581100    28.096516
## 2006-12-26 28.083968 28.395176 28.061381 28.357531    5689800    28.357531
## 2006-12-27 28.558305 28.761595 28.440349 28.761595   16816200    28.761595
## 2006-12-28 28.774148 28.811793 28.590935 28.706385    8598900    28.706385
## 2006-12-29 28.723955 28.806773 28.628585 28.653681    8026500    28.653681
## 2007-01-03 29.112959 29.215857 28.671245 28.897121   38546100    28.897121
## 2007-01-04 28.673750 28.681281 28.317369 28.498068   26830200    28.498068
## 2007-01-05 28.209459 28.272202 27.662338 27.664845   33141600    27.664845
## 2007-01-08 27.827967 27.968513 27.672364 27.865612   23326500    27.865612
## 2007-01-09 27.657313 27.694958 27.092622 27.243206   43958400    27.243206
## 2007-01-10 26.957099 27.295914 26.758830 27.180464   58526400    27.180464
## 2007-01-11 27.341084 27.895736 27.248224 27.524296   47418300    27.524296
## 2007-01-12 27.725074 28.083965 27.582016 28.083965   25530900    28.083965
## 2007-01-16 28.196908 28.222005 28.006167 28.184359   25978500    28.184359
## 2007-01-17 28.109064 28.229531 27.955972 28.066401   20523900    28.066401
## 2007-01-18 28.309844 28.334941 27.770250 27.770250   31396500    27.770250
## 2007-01-19 27.870629 28.269676 27.870629 28.269676   18093900    28.269676
## 2007-01-22 28.309837 28.493050 28.146704 28.237057   20959200    28.237057
## 2007-01-23 28.234554 28.879557 28.199419 28.879557   28305600    28.879557
## 2007-01-24 28.859477 29.238444 28.791714 29.130526   20193900    29.130526
## 2007-01-25 28.944806 28.987471 28.234550 28.234550   28913700    28.234550
## 2007-01-26 28.360038 28.480505 28.046320 28.407722   27627600    28.407722
## 2007-01-29 28.264662 28.284739 27.968513 28.031256   29898300    28.031256
## 2007-01-30 28.124127 28.465452 28.124127 28.465452   20502600    28.465452
## 2007-01-31 28.206941 28.686300 28.048829 28.686300   31860600    28.686300
## 2007-02-01 28.811790 29.062762 28.811790 29.037666   34173900    29.037666
## 2007-02-02 29.050206 29.107931 28.861975 28.949818   20925300    28.949818
## 2007-02-05 28.864492 29.007550 28.736497 28.977432   16254900    28.977432
## 2007-02-06 29.190768 29.323784 29.062770 29.263552   17354700    29.263552
## 2007-02-07 29.333809 29.353888 29.065267 29.150599   16291500    29.150599
## 2007-02-08 28.992494 29.150607 28.856968 28.995001   19789500    28.995001
## 2007-02-09 29.112954 29.178207 28.611006 28.648651   31971900    28.648651
## 2007-02-12 28.698861 28.698861 28.312360 28.452906   27900000    28.452906
## 2007-02-13 28.598468 28.962380 28.578392 28.904655   30303300    28.904655
## 2007-02-14 28.937279 29.584789 28.924731 29.527067   37476600    29.527067
## 2007-02-15 29.552166 29.627456 29.456795 29.544638   14388000    29.544638
## 2007-02-16 29.429185 29.612398 29.336325 29.612398   14832300    29.612398
## 2007-02-20 29.389030 29.740393 29.371460 29.690199   15368400    29.690199
## 2007-02-21 29.509491 29.835757 29.396551 29.778032   14292600    29.778032
## 2007-02-22 29.911048 30.011440 29.637489 29.702742   23298600    29.702742
## 2007-02-23 29.675148 29.778046 29.288649 29.489428   27175200    29.489428
## 2007-02-26 29.624947 29.672631 29.256015 29.476873   14965800    29.476873
## 2007-02-27 28.360039 28.395174 25.973277 27.080072   89951400    27.080072
## 2007-02-28 27.481625 28.063885 27.268298 27.757698   63694500    27.757698
## 2007-03-01 26.871763 27.644763 26.487773 27.358652   58851900    27.358652
## 2007-03-02 27.117717 27.699978 26.992229 27.105169   59927700    27.105169
## 2007-03-05 26.490282 27.004780 25.990844 26.409971   54968400    26.409971
## 2007-03-06 26.859211 27.634722 26.859211 27.569469   49910400    27.569469
## 2007-03-07 27.368682 27.617148 27.245708 27.401310   31768200    27.401310
## 2007-03-08 27.883190 28.470468 27.795351 28.109066   36276000    28.109066
## 2007-03-09 28.307334 28.309841 27.827972 28.159260   26060700    28.159260
## 2007-03-12 28.184361 28.500588 28.099030 28.297298   25128600    28.297298
## 2007-03-13 28.043813 28.232043 27.326026 27.474104   44023200    27.474104
## 2007-03-14 27.443989 27.752687 26.934512 27.699982   49965900    27.699982
## 2007-03-15 27.506731 28.111578 27.506731 27.925858   30401100    27.925858
## 2007-03-16 27.993620 28.119108 27.582021 27.687433   22194900    27.687433
## 2007-03-19 28.058877 28.334947 28.003663 28.294794   24143400    28.294794
## 2007-03-20 28.249616 28.510631 28.164284 28.480513   15362400    28.480513
## 2007-03-21 28.578389 29.446758 28.480509 29.333818   42041700    29.333818
## 2007-03-22 29.396558 29.522046 29.143078 29.208328   21576300    29.208328
## 2007-03-23 29.303695 29.424166 29.208325 29.343851   16886100    29.343851
## 2007-03-26 29.303691 29.414121 28.912175 29.326281   22027500    29.326281
## 2007-03-27 29.326285 29.326285 28.954845 29.195780   18514500    29.195780
## 2007-03-28 28.841906 28.987470 28.558305 28.673752   22615800    28.673752
## 2007-03-29 29.112960 29.311228 28.836887 29.243465   23175900    29.243465
## 2007-03-30 29.288646 29.414131 28.949831 29.238449   28557900    29.238449
## 2007-04-02 29.326283 29.529572 29.168170 29.439219   18873300    29.439219
## 2007-04-03 29.740396 29.956234 29.629968 29.921099   24303000    29.921099
## 2007-04-04 30.026502 30.136931 29.901014 30.109324   20481300    30.109324
## 2007-04-05 30.066655 30.292531 29.991361 30.136929   20437800    30.136929
## 2007-04-09 30.327670 30.558567 30.244848 30.310104   21373500    30.310104
## 2007-04-10 30.330181 30.493315 30.312612 30.453159   15370500    30.453159
## 2007-04-11 30.578653 30.681551 30.091763 30.172075   28048500    30.172075
## 2007-04-12 30.217246 30.696608 30.086741 30.676529   23445900    30.676529
## 2007-04-13 30.744284 30.862244 30.367823 30.827106   11782200    30.827106
## 2007-04-16 31.007809 31.218626 30.947574 31.193529   20166600    31.193529
## 2007-04-17 31.160906 31.160906 30.812053 31.025383   26238600    31.025383
## 2007-04-18 30.744288 30.914952 30.676525 30.794485   16978800    30.794485
## 2007-04-19 30.295046 30.583664 30.056619 30.546019   30470700    30.546019
## 2007-04-20 30.967662 31.108206 30.771901 30.909937   15983100    30.909937
## 2007-04-23 30.897388 30.987738 30.716686 30.786959   14394900    30.786959
## 2007-04-24 30.781939 30.877309 30.621316 30.781939   18733200    30.781939
## 2007-04-25 30.985218 31.193528 30.819577 31.163410   17789700    31.163410
## 2007-04-26 31.123261 31.208593 30.935030 31.080595   20426100    31.080595
## 2007-04-27 30.784441 30.955106 30.651425 30.924988   24456300    30.924988
## 2007-04-30 30.729227 30.817069 30.207202 30.327669   27583800    30.327669
## 2007-05-01 30.428060 30.563586 30.192143 30.448137   28771800    30.448137
## 2007-05-02 30.591202 31.085620 30.556064 31.052992   26205600    31.052992
## 2007-05-03 31.155884 31.366701 31.030396 31.313997   15720900    31.313997
## 2007-05-04 31.399331 31.610149 31.261294 31.303961   15575700    31.303961
## 2007-05-07 31.396806 31.620172 31.396806 31.507235   10084800    31.507235
## 2007-05-08 31.351647 31.351647 30.975186 31.098164   27634200    31.098164
## 2007-05-09 31.170951 31.655327 31.135812 31.600115   22212600    31.600115
## 2007-05-10 31.431952 31.600106 30.756832 30.827106   36275100    30.827106
## 2007-05-11 30.995272 31.735645 30.995272 31.610157   21416100    31.610157
## 2007-05-14 31.549915 31.873671 31.135809 31.296432   28344000    31.296432
## 2007-05-15 31.303962 31.627719 31.128280 31.334080   27392700    31.334080
## 2007-05-16 31.517288 31.871162 31.273843 31.788340   18247200    31.788340
## 2007-05-17 31.625196 31.798368 31.399320 31.672880   17952600    31.672880
## 2007-05-18 31.755715 31.866145 31.600113 31.836027   16459500    31.836027
## 2007-05-21 31.808417 32.071941 31.780809 31.893749   33299100    31.893749
## 2007-05-22 31.956486 32.054366 31.888723 31.898764   23904900    31.898764
## 2007-05-23 32.124650 32.225038 31.632739 31.848577   41565600    31.848577
## 2007-05-24 31.798381 31.898772 30.940051 31.083105   52781700    31.083105
## 2007-05-25 31.424430 31.622698 31.336588 31.559956   20317500    31.559956
## 2007-05-29 31.685439 31.773282 31.120748 31.452036   20445900    31.452036
## 2007-05-30 30.869777 31.773283 30.824601 31.773283   35050500    31.773283
## 2007-05-31 31.795869 31.999158 31.677912 31.863632   23850900    31.863632
## 2007-06-01 32.061903 32.659222 32.061903 32.659222   24035700    32.659222
## 2007-06-04 32.378127 32.624082 32.312874 32.513653   26454900    32.513653
## 2007-06-05 32.385660 32.481030 32.142215 32.400719   27272400    32.400719
## 2007-06-06 32.174837 32.174837 31.585049 31.585049   40848900    31.585049
## 2007-06-07 31.620189 31.858614 30.930013 31.098164   66178500    31.098164
## 2007-06-08 31.183483 31.773271 31.153365 31.647783   42430200    31.647783
## 2007-06-11 31.670383 32.112100 31.542387 31.918848   22266000    31.918848
## 2007-06-12 31.564976 31.828500 31.258788 31.364197   31146300    31.364197
## 2007-06-13 31.592576 32.109583 31.585049 31.991627   31558200    31.991627
## 2007-06-14 32.117107 32.679288 32.117107 32.493568   22374900    32.493568
## 2007-06-15 32.877571 33.233952 32.877571 33.233952   45032700    33.233952
## 2007-06-18 33.294183 33.417157 33.115991 33.264065   14039100    33.264065
## 2007-06-19 33.060781 33.442262 33.038194 33.301716   20064600    33.301716
## 2007-06-20 33.552678 33.612913 32.877561 33.018105   31779600    33.018105
## 2007-06-21 33.065805 33.497481 32.950355 33.429718   26637900    33.429718
## 2007-06-22 33.178732 33.394569 32.827367 32.987991   22471500    32.987991
## 2007-06-25 32.965412 33.098428 32.541267 32.737026   29348400    32.737026
## 2007-06-26 32.862508 32.937799 32.450909 32.450909   29622000    32.450909
## 2007-06-27 32.350508 32.930258 32.174827 32.912689   31400400    32.912689
## 2007-06-28 32.701890 33.128545 32.701890 32.920235   22270200    32.920235
## 2007-06-29 33.058273 33.254034 32.684322 33.035686   39395100    33.035686
## 2007-07-02 33.128541 33.705780 33.128541 33.705780   30585300    33.705780
## 2007-07-03 33.755979 33.974327 33.755979 33.974327   13577400    33.974327
## 2007-07-05 33.783582 34.167574 33.783582 34.124908   25942800    34.124908
## 2007-07-06 34.315637 34.850210 34.313127 34.709663   31670700    34.709663
## 2007-07-09 34.955629 35.161429 34.935553 35.045979   28652100    35.045979
## 2007-07-10 34.669516 34.789987 34.288038 34.355801   40039500    34.355801
## 2007-07-11 34.538994 34.749811 34.257904 34.639385   25900200    34.639385
## 2007-07-12 34.862765 35.547924 34.862765 35.399849   29064900    35.399849
## 2007-07-13 35.633258 35.864151 35.510280 35.839054   24262800    35.839054
## 2007-07-16 35.560474 35.688472 35.319539 35.487690   23917200    35.487690
## 2007-07-17 35.560480 35.588086 35.291937 35.460091   21789600    35.460091
## 2007-07-18 35.013346 35.271849 34.739783 35.025894   34859700    35.025894
## 2007-07-19 35.264331 35.618204 35.261820 35.374760   24539100    35.374760
## 2007-07-20 35.550432 35.675917 34.935548 35.131306   48010800    35.131306
## 2007-07-23 35.854116 36.165324 35.736159 36.147755   35516700    36.147755
## 2007-07-24 35.889258 35.962039 34.837677 34.910461   53650200    34.910461
## 2007-07-25 35.440006 35.638275 34.684575 35.111229   45873600    35.111229
## 2007-07-26 34.390947 34.423575 32.568878 33.321800   99222600    33.321800
## 2007-07-27 33.507509 33.740914 32.701884 32.890114   64008900    32.890114
## 2007-07-30 33.254031 34.250398 33.254031 33.966797   50423400    33.966797
## 2007-07-31 34.426078 34.544038 33.271599 33.271599   63243600    33.271599
## 2007-08-01 32.857482 33.437233 32.488553 33.141083  106336500    33.141083
## 2007-08-02 33.178716 33.705760 33.088366 33.507492   46615800    33.507492
## 2007-08-03 33.479908 33.505005 31.813442 32.061905   64852500    32.061905
## 2007-08-06 32.428326 32.854980 31.760736 32.634125   72395400    32.634125
## 2007-08-07 32.503618 33.231442 32.360564 32.877571   54839100    32.877571
## 2007-08-08 33.540129 34.250387 33.502483 33.981842   50678700    33.981842
## 2007-08-09 32.942816 33.329314 32.340479 32.576393   78721500    32.576393
## 2007-08-10 31.891240 32.892627 31.595091 32.011707   82478700    32.011707
## 2007-08-13 32.764620 32.967909 32.307848 32.327927   39933300    32.327927
## 2007-08-14 32.498593 32.563846 31.371722 31.492189   50445600    31.492189
## 2007-08-15 31.148362 31.479649 30.129408 30.254896   77352600    30.254896
## 2007-08-16 29.652557 30.039059 27.960994 29.740400  140054700    29.740400
## 2007-08-17 30.869779 31.843556 29.775532 30.681549   99855300    30.681549
## 2007-08-20 31.022870 31.138317 30.209714 30.744287   64116300    30.744287
## 2007-08-21 30.588682 30.995260 30.377865 30.631348   43294500    30.631348
## 2007-08-22 31.145850 32.024256 31.145850 31.948965   57893700    31.948965
## 2007-08-23 32.247625 32.370600 31.665364 32.112099   46373700    32.112099
## 2007-08-24 32.122139 32.947841 32.024259 32.877571   52962000    32.877571
## 2007-08-27 32.844947 33.580299 32.744559 33.028160   28239300    33.028160
## 2007-08-28 32.636629 32.754586 31.529834 31.685436   56966400    31.685436
## 2007-08-29 32.272715 33.100927 32.137189 32.940304   42499800    32.940304
## 2007-08-30 32.576398 33.233949 32.425814 32.772160   29959500    32.772160
## 2007-08-31 33.630491 34.182634 33.377008 33.617943   53820900    33.617943
## 2007-09-04 33.291680 34.428590 33.291680 34.185146   33802200    34.185146
## 2007-09-05 33.896519 33.896519 33.321790 33.668133   38522400    33.668133
## 2007-09-06 33.858879 34.099814 33.607903 33.931660   20809800    33.931660
## 2007-09-07 33.311745 33.449781 32.890110 33.166180   48953400    33.166180
## 2007-09-10 33.630490 33.645549 32.691846 33.191284   32317200    33.191284
## 2007-09-11 33.582795 33.994393 33.540128 33.861374   32632200    33.861374
## 2007-09-12 33.688203 34.129920 33.517542 33.981842   29448900    33.981842
## 2007-09-13 34.210239 34.606777 34.104828 34.358311   22941300    34.358311
## 2007-09-14 34.195178 34.539011 34.024514 34.426071   17142600    34.426071
## 2007-09-17 34.162546 34.277996 33.811182 34.207722   22866300    34.207722
## 2007-09-18 34.308119 35.926900 34.157537 35.864155   68338200    35.864155
## 2007-09-19 35.964545 36.612058 35.909331 36.027287   63006000    36.027287
## 2007-09-20 36.117645 36.348542 35.701028 35.914356   34842000    35.914356
## 2007-09-21 36.333475 36.501626 36.270730 36.391197   30381000    36.391197
## 2007-09-24 37.144120 37.144120 36.642174 36.842953   31511400    36.842953
## 2007-09-25 36.541781 36.855499 36.308374 36.704914   28052400    36.704914
## 2007-09-26 37.194321 37.307257 36.925776 37.194321   27536400    37.194321
## 2007-09-27 37.769046 38.148017 37.377526 37.746456   32771700    37.746456
## 2007-09-28 37.834304 37.944733 37.236989 37.508038   40628400    37.508038
## 2007-10-01 37.864412 38.843208 37.688729 38.687603   38391000    38.687603
## 2007-10-02 39.054039 39.400385 38.567149 38.951141   40943400    38.951141
## 2007-10-03 38.835682 38.966188 37.771553 37.771553   49248300    37.771553
## 2007-10-04 37.922130 38.265963 37.503003 38.148006   23239800    38.148006
## 2007-10-05 38.562129 39.596141 38.524484 39.420460   64093800    39.420460
## 2007-10-08 38.898422 39.114260 38.727760 39.001320   32786100    39.001320
## 2007-10-09 39.287445 39.638809 39.126822 39.608692   30145200    39.608692
## 2007-10-10 39.485707 39.796915 39.267359 39.661388   36825900    39.661388
## 2007-10-11 40.160834 40.356592 38.614835 39.312542   71038800    39.312542
## 2007-10-12 39.495750 40.030323 39.367751 40.030323   27468300    40.030323
## 2007-10-15 40.098087 40.193455 39.028937 39.540924   40017900    39.540924
## 2007-10-16 39.274893 39.294969 38.537030 38.808079   60320100    38.808079
## 2007-10-17 39.704056 39.882248 38.926037 39.704056   67459200    39.704056
## 2007-10-18 39.026426 39.992678 38.971211 39.904835   55143300    39.904835
## 2007-10-19 39.555976 39.648836 37.869431 38.198208   82591500    38.198208
## 2007-10-22 37.821751 38.476792 37.392586 38.474281   60902100    38.474281
## 2007-10-23 38.966195 39.688999 38.777965 39.540924   55527300    39.540924
## 2007-10-24 39.179515 39.410411 38.012488 39.282413   49925100    39.282413
## 2007-10-25 39.801925 39.892274 39.089159 39.781845   43169400    39.781845
## 2007-10-26 40.670301 41.086918 40.281293 40.908726   44119500    40.908726
## 2007-10-29 41.586359 41.849880 41.365501 41.849880   38281200    41.849880
## 2007-10-30 41.234988 41.335380 40.921270 41.059307   36921900    41.059307
## 2007-10-31 41.413186 42.033091 40.908727 41.960308   63320400    41.960308
## 2007-11-01 40.798297 41.076878 40.123178 40.266232   56598300    40.266232
## 2007-11-02 40.532266 40.891161 39.769307 40.494621   59190000    40.494621
## 2007-11-05 39.427977 39.626245 38.808068 39.086651   43943400    39.086651
## 2007-11-06 40.226083 40.725522 39.656372 40.569916   40065300    40.569916
## 2007-11-07 39.975104 40.321447 39.081636 39.277397   46819800    39.277397
## 2007-11-08 39.458089 39.879726 38.120400 39.478168   83404200    39.478168
## 2007-11-09 38.765418 39.302501 38.250920 38.549580   52806000    38.549580
## 2007-11-12 38.009976 38.245890 36.396214 36.416294   69956100    36.416294
## 2007-11-13 37.871947 39.131835 37.713834 38.988781   74957100    38.988781
## 2007-11-14 39.731665 39.980128 38.745338 39.026428   47813100    39.026428
## 2007-11-15 38.579704 38.981262 37.743960 38.127949   55260300    38.127949
## 2007-11-16 38.258441 38.670040 37.683711 38.599766   60026400    38.599766
## 2007-11-19 37.874457 37.949748 36.491592 36.820366   52244700    36.820366
## 2007-11-20 37.267100 38.195704 36.888129 37.831791   83208600    37.831791
## 2007-11-21 36.569392 36.714955 35.693493 35.926899   77409000    35.926899
## 2007-11-23 36.579426 37.445287 36.579426 36.988514   24243900    36.988514
## 2007-11-26 37.149146 37.510548 35.520325 35.520325   72462000    35.520325
## 2007-11-27 36.077480 37.041219 35.871681 36.880596   75099600    36.880596
## 2007-11-28 37.287171 38.900932 37.269602 38.900932  100931400    38.900932
## 2007-11-29 38.436628 38.963674 38.142990 38.424080   62430600    38.424080
## 2007-11-30 39.473159 39.578568 38.441657 38.750355   64310400    38.750355
## 2007-12-03 38.677573 38.885882 38.323702 38.414051   41652600    38.414051
## 2007-12-04 38.250906 38.772931 38.200712 38.313648   32139000    38.313648
## 2007-12-05 39.227200 40.017770 39.227200 40.015259   46454100    40.015259
## 2007-12-06 39.804449 40.695404 39.653864 40.645210   49785000    40.645210
## 2007-12-07 40.456977 40.507171 39.972597 40.163338   47259900    40.163338
## 2007-12-10 40.155804 40.339017 39.977615 40.175884   30087600    40.175884
## 2007-12-11 40.351567 40.461996 38.323700 38.474281   67515900    38.474281
## 2007-12-12 40.231100 40.567406 38.765414 39.628761   72613200    39.628761
## 2007-12-13 38.524466 38.845711 38.009969 38.539524   75751200    38.539524
## 2007-12-14 37.746457 38.240878 37.598385 37.620972   52611000    37.620972
## 2007-12-17 36.983503 37.046248 35.999685 36.017254   62022000    36.017254
## 2007-12-18 37.156662 37.184270 36.072457 37.006081   69887400    37.006081
## 2007-12-19 37.139103 37.475408 36.895657 37.247021   56490000    37.247021
## 2007-12-20 37.425209 37.540656 36.958395 37.450306   45520800    37.450306
## 2007-12-21 37.997425 38.579685 37.922134 38.579685   56436300    38.579685
## 2007-12-24 38.655184 39.237289 38.606888 39.232204   18304800    39.232204
## 2007-12-26 38.929713 39.521985 38.853456 39.435558   23497500    39.435558
## 2007-12-27 39.079692 39.153409 38.431500 38.525551   30705600    38.525551
## 2007-12-28 38.919548 39.028850 38.380659 38.670437   37557000    38.670437
## 2007-12-31 38.777192 38.863619 38.131543 38.205257   26840400    38.205257
## 2008-01-02 38.464550 38.703493 37.343558 37.574875   68029800    37.574875
## 2008-01-03 38.027326 38.172214 37.737544 37.912937   47760300    37.912937
## 2008-01-04 37.564700 37.633332 36.418290 36.774158   83071200    36.774158
## 2008-01-07 37.079180 37.315580 36.458949 37.043594   54090900    37.043594
## 2008-01-08 37.473183 37.867183 36.657223 36.756359   88767900    36.756359
## 2008-01-09 37.292714 37.961243 36.756368 37.961243   85492200    37.961243
## 2008-01-10 37.346079 38.624675 37.168147 38.408611   84510900    38.408611
## 2008-01-11 37.595199 38.040036 37.109690 37.328297   78241200    37.328297
## 2008-01-14 37.884977 38.065456 37.544359 37.877350   70594500    37.877350
## 2008-01-15 37.137647 37.282536 36.044615 36.164085   90633900    36.164085
## 2008-01-16 35.625194 35.780250 34.107658 34.659260  141276600    34.659260
## 2008-01-17 35.205780 35.454888 33.500142 33.650116  133308000    33.650116
## 2008-01-18 34.687226 34.890580 33.596736 34.417778  119655300    34.417778
## 2008-01-22 32.264768 34.341527 31.901270 33.553528  153342900    33.553528
## 2008-01-23 32.058862 33.881428 31.019210 33.767040  173383800    33.767040
## 2008-01-24 33.706035 34.656718 33.634861 34.422859   93140700    34.422859
## 2008-01-25 35.073594 35.287119 33.759415 33.899223   65709300    33.899223
## 2008-01-28 33.833134 34.738060 32.282552 34.738060   61924200    34.738060
## 2008-01-29 34.651642 34.725359 34.082249 34.567760   42873000    34.567760
## 2008-01-30 34.049196 35.353207 33.843298 34.112743   90782400    34.112743
## 2008-01-31 33.462013 35.027844 33.327291 34.796528   91635900    34.796528
## 2008-02-01 34.977005 35.609945 34.824489 35.490475   66237600    35.490475
## 2008-02-04 35.749751 35.841260 35.388796 35.599777   47431800    35.599777
## 2008-02-05 34.811781 34.888037 33.350168 33.683159   81961200    33.683159
## 2008-02-06 33.934812 34.344063 33.022257 33.131561   94311600    33.131561
## 2008-02-07 33.019715 34.018697 32.691806 33.693329   81689400    33.693329
## 2008-02-08 33.273901 33.866173 33.154431 33.629772   64338300    33.629772
## 2008-02-11 33.507767 34.059368 33.113767 34.046658   62668500    34.046658
## 2008-02-12 34.382190 35.182899 34.300849 34.595715   95163900    34.595715
## 2008-02-13 34.964298 35.475229 34.570299 35.373550   80838300    35.373550
## 2008-02-14 35.691292 35.800596 34.885499 34.918545   77572200    34.918545
## 2008-02-15 35.030391 35.190532 34.616054 35.167656   40972800    35.167656
## 2008-02-19 36.090379 36.123423 35.416765 35.627747   60714600    35.627747
## 2008-02-20 35.065978 36.059874 34.903294 35.925152   67324200    35.925152
## 2008-02-21 36.159002 36.237801 35.292201 35.421841   47179200    35.421841
## 2008-02-22 35.782793 35.955647 34.987170 35.897182   58150800    35.897182
## 2008-02-25 35.828551 36.614007 35.569273 36.565712   62952600    36.565712
## 2008-02-26 36.293734 37.188494 36.169179 37.048687   62865300    37.048687
## 2008-02-27 36.769059 37.582477 36.682633 37.361328   59912700    37.361328
## 2008-02-28 36.974969 37.272375 36.774154 36.959717   52139100    36.959717
## 2008-02-29 36.553003 36.565713 35.426928 35.490475   69116400    35.490475
## 2008-03-03 35.493025 35.927699 35.078691 35.683670   85376100    35.683670
## 2008-03-04 35.086305 35.414215 34.204255 34.854992   95442600    34.854992
## 2008-03-05 35.261703 35.739587 35.010050 35.587070   63579300    35.587070
## 2008-03-06 35.383723 35.498107 34.323733 34.366947   57511500    34.366947
## 2008-03-07 34.046660 34.705020 33.667914 33.891602   70810500    33.891602
## 2008-03-10 34.133089 34.133089 32.973970 33.296795   70676700    33.296795
## 2008-03-11 34.712655 35.561659 34.150887 35.536240  100189800    35.536240
## 2008-03-12 35.154944 35.587076 34.778740 34.877876   59353200    34.877876
## 2008-03-13 33.886512 34.908370 33.617065 34.560123   85102500    34.560123
## 2008-03-14 34.547417 34.633844 33.070556 33.334915   94845000    33.334915
## 2008-03-17 32.094454 32.796029 31.738583 32.511330  104934000    32.511330
## 2008-03-18 33.184948 34.262729 33.111231 34.201721   82055700    34.201721
## 2008-03-19 33.820414 34.036478 32.104609 32.147823   98289000    32.147823
## 2008-03-20 32.122421 32.778240 31.718254 32.689274   83455200    32.689274
## 2008-03-24 33.141739 34.199186 32.971432 33.942448   63315000    33.942448
## 2008-03-25 33.975484 34.522000 33.972941 34.463535   49837200    34.463535
## 2008-03-26 34.288147 34.336446 33.856019 34.183929   46039800    34.183929
## 2008-03-27 34.516920 34.537258 33.967862 34.018703   45650100    34.018703
## 2008-03-28 34.318640 34.379645 33.830589 33.957684   42123300    33.957684
## 2008-03-31 34.023793 34.194101 33.856024 34.158512   51357900    34.158512
## 2008-04-01 34.542329 35.498097 34.463530 35.470135   59322000    35.470135
## 2008-04-02 35.470145 35.759926 35.078688 35.495564   48963000    35.495564
## 2008-04-03 35.371003 36.156462 35.269327 35.927689   49385100    35.927689
## 2008-04-04 35.744675 36.255602 35.518444 35.782803   48387300    35.782803
## 2008-04-07 36.408111 36.743648 36.036991 36.258137   48936600    36.258137
## 2008-04-08 35.955646 36.245424 35.810754 36.059864   37712100    36.059864
## 2008-04-09 35.937856 36.064950 35.348126 35.498100   38654100    35.498100
## 2008-04-10 35.762463 36.161545 35.442178 36.006489   38757600    36.006489
## 2008-04-11 35.645539 35.838726 35.251539 35.419308   45471000    35.419308
## 2008-04-14 35.274414 35.632824 35.081227 35.335419   43521300    35.335419
## 2008-04-15 35.729412 35.823462 35.421839 35.749748   34587600    35.749748
## 2008-04-16 36.176794 37.010549 36.171712 36.807194   52355400    36.807194
## 2008-04-17 36.456406 36.697890 36.260677 36.540291   35445900    36.540291
## 2008-04-18 37.046139 37.290165 36.761443 37.091892   43182300    37.091892
## 2008-04-21 36.916504 37.333383 36.095458 37.279999   39228000    37.279999
## 2008-04-22 37.155442 37.216450 36.659767 36.934296   45971400    36.934296
## 2008-04-23 37.320669 37.488438 37.010554 37.465561   38048400    37.465561
## 2008-04-24 37.343539 37.480804 36.685178 36.985126   38298300    36.985126
## 2008-04-25 37.290172 37.323216 36.718237 37.257126   36429900    37.257126
## 2008-04-28 37.379131 37.478268 37.122397 37.185944   28076100    37.185944
## 2008-04-29 37.086814 37.086814 36.492003 36.527592   43114200    36.527592
## 2008-04-30 36.756363 37.396930 36.649601 37.279999   56735100    37.279999
## 2008-05-01 37.264753 37.752804 37.046146 37.676544   36340500    37.676544
## 2008-05-02 38.149341 38.197636 37.747714 38.037495   36100200    38.037495
## 2008-05-05 38.001906 38.174759 37.803636 38.009533   22732500    38.009533
## 2008-05-06 37.872268 38.523002 37.696874 38.434036   36007500    38.434036
## 2008-05-07 38.123917 38.217971 37.216447 37.290165   52249200    37.290165
## 2008-05-08 37.475730 37.821434 37.396931 37.674000   34318500    37.674000
## 2008-05-09 37.333370 37.490968 37.142725 37.366413   33387000    37.366413
## 2008-05-12 37.422345 37.862100 37.147815 37.846848   31889100    37.846848
## 2008-05-13 37.938359 38.106127 37.684166 38.027328   24984000    38.027328
## 2008-05-14 38.319647 38.502667 38.045117 38.118835   27882000    38.118835
## 2008-05-15 38.342523 38.952590 38.228138 38.929710   41979600    38.929710
## 2008-05-16 39.133068 39.450811 38.990721 39.425392   30127200    39.425392
## 2008-05-19 39.440645 40.025290 39.346594 39.433018   45427200    39.433018
## 2008-05-20 38.876324 38.891575 38.528080 38.749226   44971500    38.749226
## 2008-05-21 38.914458 39.188987 38.220510 38.355232   47546700    38.355232
## 2008-05-22 38.558596 38.619603 38.215437 38.467087   26301300    38.467087
## 2008-05-23 38.134084 38.217969 37.633321 37.796005   31783500    37.796005
## 2008-05-27 37.676543 37.834144 37.351175 37.735008   35205600    37.735008
## 2008-05-28 37.851928 38.243389 37.506227 38.243389   31076400    38.243389
## 2008-05-29 38.278972 38.764480 38.111203 38.327267   36030300    38.327267
## 2008-05-30 38.553501 38.769565 38.408613 38.459450   29933400    38.459450
## 2008-06-02 38.428950 38.428950 37.762963 38.001904   39888600    38.001904
## 2008-06-03 38.014612 38.073077 37.165608 37.315582   44795100    37.315582
## 2008-06-04 37.109697 37.447774 36.921595 36.990227   46607100    36.990227
## 2008-06-05 37.310502 38.167133 37.201199 38.167133   36879600    38.167133
## 2008-06-06 37.633328 37.709589 36.784325 36.784325   48717600    36.784325
## 2008-06-09 36.911419 37.063936 36.247975 36.690273   49329300    36.690273
## 2008-06-10 36.141208 36.159003 35.770086 35.843803   67029600    35.843803
## 2008-06-11 35.968366 36.062417 35.282042 35.307461   72144300    35.307461
## 2008-06-12 35.574363 36.034452 35.350672 35.513355   59169900    35.513355
## 2008-06-13 35.536225 36.016652 35.345580 35.897182   42621000    35.897182
## 2008-06-16 35.866686 36.151383 35.777720 36.019203   34441200    36.019203
## 2008-06-17 36.397939 36.497075 36.146289 36.171707   38012100    36.171707
## 2008-06-18 36.113251 36.270850 35.637910 35.996323   48612300    35.996323
## 2008-06-19 35.828555 36.166631 35.698914 36.052246   52999500    36.052246
## 2008-06-20 35.470143 35.554028 34.806699 34.875332   94397400    34.875332
## 2008-06-23 35.015141 35.132069 34.827036 34.977013   50194200    34.977013
## 2008-06-24 34.788907 35.218495 34.501668 34.821953   55306800    34.821953
## 2008-06-25 35.058997 35.812317 35.058997 35.519215   64861200    35.519215
## 2008-06-26 34.940742 35.035871 34.272267 34.300549   69863700    34.300549
## 2008-06-27 34.459947 34.804469 34.272260 34.632210   54488400    34.632210
## 2008-06-30 34.876452 35.012718 34.681051 34.894451   52705800    34.894451
## 2008-07-01 34.105132 34.408518 33.634627 34.272251   88602600    34.272251
## 2008-07-02 34.429090 34.534506 33.212980 33.295254   77359500    33.295254
## 2008-07-03 33.632059 33.632059 32.889022 33.200119   51487800    33.200119
## 2008-07-07 33.475238 33.824901 32.781049 33.081863   84791100    33.081863
## 2008-07-08 33.027858 33.513789 32.598490 33.488079   91546200    33.488079
## 2008-07-09 33.629492 33.902028 32.724480 32.811897   89474400    32.811897
## 2008-07-10 33.215547 33.570355 32.855600 33.405807   82659300    33.405807
## 2008-07-11 33.146132 33.668061 32.845319 33.182129   74596200    33.182129
## 2008-07-14 33.644918 33.819752 32.189698 33.140991   48638400    33.140991
## 2008-07-15 32.631923 33.176987 32.027725 32.588215  108376500    32.588215
## 2008-07-16 32.585636 33.616631 32.413377 33.529217   72721800    33.529217
## 2008-07-17 33.714340 33.994587 33.441808 33.686058   88662300    33.686058
## 2008-07-18 33.405805 33.688621 33.277251 33.395519   50926800    33.395519
## 2008-07-21 33.601211 33.912311 33.547219 33.809467   42357300    33.809467
## 2008-07-22 33.392953 33.835179 33.176984 33.830036   47977800    33.830036
## 2008-07-23 33.999722 34.210548 33.760612 33.878880  142368000    33.878880
## 2008-07-24 33.675772 33.938020 32.071431 32.626778   33791200    32.626778
## 2008-07-25 32.896737 32.973867 32.580496 32.850456   26549400    32.850456
## 2008-07-28 32.889024 32.966158 32.202552 32.295109   22918200    32.295109
## 2008-07-29 32.387673 34.084572 32.210267 34.084572   28970800    34.084572
## 2008-07-30 33.529225 34.246552 32.410812 33.729767   38187600    33.729767
## 2008-07-31 33.043281 33.698901 32.896732 32.973862   65916000    32.973862
## 2008-08-01 33.320968 33.320968 32.518796 32.750191   36367800    32.750191
## 2008-08-04 32.356821 32.457093 31.593213 31.747478   55599400    31.747478
## 2008-08-05 31.778324 32.233402 31.631772 32.156269   42552600    32.156269
## 2008-08-06 32.086856 32.796471 32.048291 32.796471   34367700    32.796471
## 2008-08-07 32.179417 32.241121 31.577787 31.670347   38381200    31.670347
## 2008-08-08 31.292400 31.847750 31.168989 31.747478   51194100    31.747478
## 2008-08-11 31.554643 31.732046 31.300110 31.415806   43444700    31.415806
## 2008-08-12 31.176692 31.400375 30.845028 31.153553   39537600    31.153553
## 2008-08-13 30.883601 31.253833 30.575072 31.145849   52150600    31.145849
## 2008-08-14 31.130420 31.678055 31.122704 31.554644   34218600    31.554644
## 2008-08-15 31.423528 31.585505 31.007015 31.061007   37679300    31.061007
## 2008-08-18 31.199844 31.238409 30.281972 30.536509   34649700    30.536509
## 2008-08-19 30.181696 30.382237 29.873168 30.281965   58501700    30.281965
## 2008-08-20 30.690765 31.076424 30.590492 31.053282   39617100    31.053282
## 2008-08-21 30.652202 31.192123 30.598207 31.007008   26882500    31.007008
## 2008-08-22 31.192123 31.207549 30.598207 30.983866   19299700    30.983866
## 2008-08-25 30.883605 30.929882 30.320542 30.343681   30942400    30.343681
## 2008-08-26 30.436234 30.590499 30.235693 30.397669   25493200    30.397669
## 2008-08-27 30.652199 31.122700 30.567353 31.045570   31425700    31.045570
## 2008-08-28 31.107284 31.323252 31.030150 31.261545   29213700    31.261545
## 2008-08-29 31.199843 31.222982 30.737049 30.891314   26262300    30.891314
## 2008-09-02 30.366812 30.629060 29.896307 29.958014   43801700    29.958014
## 2008-09-03 29.896309 29.896309 29.240690 29.464373   58412400    29.464373
## 2008-09-04 29.132702 29.240687 28.075998 28.106848   70453100    28.106848
## 2008-09-05 28.083713 28.561930 27.728908 28.507938   58892600    28.507938
## 2008-09-08 29.757474 29.888596 28.438517 28.862741   64826300    28.862741
## 2008-09-09 28.307400 28.446237 26.803327 27.242979   71020700    27.242979
## 2008-09-10 27.713477 27.929445 27.173554 27.682623   74811000    27.682623
## 2008-09-11 26.741609 27.343240 26.494787 27.273821  103649900    27.273821
## 2008-09-12 27.188977 28.531073 27.027001 28.183979   83241400    28.183979
## 2008-09-15 26.494794 27.196694 25.877740 25.970297  108168400    25.970297
## 2008-09-16 24.828747 26.417664 24.643632 26.193981  115788300    26.193981
## 2008-09-17 25.360955 25.638631 24.203976 24.335100  153448700    24.335100
## 2008-09-18 25.222122 26.841890 24.072856 26.386812  155272500    26.386812
## 2008-09-19 29.904020 30.659912 27.806033 29.672625  157949600    29.672625
## 2008-09-22 29.117281 29.117281 27.674916 27.736620  112364700    27.736620
## 2008-09-23 27.482078 28.006575 26.517930 26.872736   75596800    26.872736
## 2008-09-24 27.343243 27.566926 26.826458 27.181267   64728700    27.181267
## 2008-09-25 27.551506 28.924452 27.381815 28.577358   98210700    28.577358
## 2008-09-26 27.073280 27.821460 26.224831 27.605492   56618700    27.605492
## 2008-09-29 26.325107 26.479372 23.818320 24.381384  126723300    24.381384
## 2008-09-30 25.630917 26.633630 25.260684 26.355955   77582900    26.355955
## 2008-10-01 26.078278 26.672194 25.530640 26.672194   69638300    26.672194
## 2008-10-02 25.661769 25.669481 24.265681 24.335100   81034600    24.335100
## 2008-10-03 24.628202 25.515220 23.640914 23.694906   83974700    23.694906
## 2008-10-06 21.967149 22.275676 20.455365 21.913157  155814800    21.913157
## 2008-10-07 22.267972 22.453088 20.208551 20.208551  115117100    20.208551
## 2008-10-08 19.745759 21.118706 19.398666 20.208551  133618100    20.208551
## 2008-10-09 20.740763 21.057003 18.635063 18.719908  129263500    18.719908
## 2008-10-10 17.871450 20.046568 17.154124 18.935869  181837700    18.935869
## 2008-10-13 20.632774 23.424948 20.193122 23.247543  177204100    23.247543
## 2008-10-14 23.216689 24.103705 21.450369 22.090563  154341500    22.090563
## 2008-10-15 20.709903 20.787035 18.442226 18.519358  153732000    18.519358
## 2008-10-16 18.974435 19.429514 17.393232 19.429514  182101100    19.429514
## 2008-10-17 18.434516 19.977153 18.187694 18.820175  121812700    18.820175
## 2008-10-20 19.406371 20.216254 19.120984 20.139124   84463900    20.139124
## 2008-10-21 19.282962 19.552924 18.534784 18.534784   86398800    18.534784
## 2008-10-22 17.701762 17.825173 16.305674 16.583349  157052000    16.583349
## 2008-10-23 16.506216 17.377807 15.935440 17.046139  153277100    17.046139
## 2008-10-24 14.948156 16.051142 14.801607 15.287537  170199600    15.287537
## 2008-10-27 14.894161 15.765753 14.778464 14.886448  142877900    14.886448
## 2008-10-28 15.920012 18.696760 15.503501 18.002573  219283400    18.002573
## 2008-10-29 17.138699 18.519360 16.791607 17.431801  159872300    17.431801
## 2008-10-30 18.897305 19.861453 18.797034 19.784321  186225900    19.784321
## 2008-10-31 19.298387 20.015714 19.090131 19.614628  162086800    19.614628
## 2008-11-03 19.776606 19.869165 19.352381 19.437227   90109900    19.437227
## 2008-11-04 20.378240 21.311535 20.169984 21.211264  138685300    21.211264
## 2008-11-05 20.169981 20.347383 18.357382 18.511646  153152800    18.511646
## 2008-11-06 18.465368 18.650484 17.223545 17.578352  158025800    17.578352
## 2008-11-07 18.395948 19.036143 18.056568 19.005289  152078400    19.005289
## 2008-11-10 19.830599 19.830599 18.650482 19.182693   96111900    19.182693
## 2008-11-11 18.534793 18.727623 17.670915 17.987156  128587900    17.987156
## 2008-11-12 17.601487 17.616913 16.459935 16.652765  182266000    16.652765
## 2008-11-13 16.938156 19.074709 16.112845 18.959011  241229100    18.959011
## 2008-11-14 17.894591 18.249396 17.084705 17.138697  180106800    17.138697
## 2008-11-17 16.999857 17.578346 16.729896 16.853306  118832400    16.853306
## 2008-11-18 16.637341 16.945868 15.950867 16.606489  111377600    16.606489
## 2008-11-19 16.297966 16.475371 15.125563 15.171841  155995700    15.171841
## 2008-11-20 15.033000 15.480365 14.053424 14.084278  244592200    14.084278
## 2008-11-21 15.457227 16.189979 14.639628 16.112846  248682100    16.112846
## 2008-11-24 16.043421 17.470361 16.027996 17.092415  188103000    17.092415
## 2008-11-25 17.393234 17.431801 16.382808 16.768467  133691700    16.768467
## 2008-11-26 16.668199 18.079713 16.637346 18.048859  120738500    18.048859
## 2008-11-28 17.616915 17.802032 17.532070 17.701761   36642700    17.701761
## 2008-12-01 17.084705 17.123272 15.958581 15.997146  138664600    15.997146
## 2008-12-02 16.691335 17.069281 16.305676 17.007576  112480900    17.007576
## 2008-12-03 16.398235 17.254399 16.313390 17.146414   93150400    17.146414
## 2008-12-04 16.675906 17.123271 16.213114 16.413658  117519200    16.413658
## 2008-12-05 16.297960 17.393233 16.105131 17.385521   96640400    17.385521
## 2008-12-08 18.064280 18.673620 18.033426 18.496218  122277400    18.496218
## 2008-12-09 18.257112 18.735331 17.956299 18.241686  103924100    18.241686
## 2008-12-10 18.797037 19.375526 18.766183 19.329245  100967300    19.329245
## 2008-12-11 19.167271 19.730334 18.766185 18.835604  112643600    18.835604
## 2008-12-12 18.411374 19.259823 18.280250 19.097847   98443000    19.097847
## 2008-12-15 19.182692 19.213544 18.604203 18.843311   67469800    18.843311
## 2008-12-16 19.136413 20.409088 19.051569 20.347383  146597700    20.347383
## 2008-12-17 19.830599 20.308818 19.761182 19.992577   97104500    19.992577
## 2008-12-18 20.115990 20.185408 19.452655 19.552927   92867800    19.552927
## 2008-12-19 19.815179 20.054287 19.429519 19.622349   56422900    19.622349
## 2008-12-22 19.475793 19.529785 18.650482 18.889591   73538500    18.889591
## 2008-12-23 18.913060 19.030387 18.615832 18.733160   70285300    18.733160
## 2008-12-24 18.889590 19.006915 18.514144 18.866125   29365000    18.866125
## 2008-12-26 18.889594 18.944345 18.561079 18.803555   24728700    18.803555
## 2008-12-29 19.038203 19.085134 18.608006 18.772263   36240900    18.772263
## 2008-12-30 18.936522 19.327610 18.897413 19.272858   50083900    19.272858
## 2008-12-31 19.124241 19.609191 19.030379 19.530972   44815800    19.530972
## 2009-01-02 19.710879 20.626027 19.656125 20.461769   69494900    20.461769
## 2009-01-05 20.336622 20.931077 20.289692 20.727711   64779500    20.727711
## 2009-01-06 21.032758 21.337809 20.884146 21.197016   67960000    21.197016
## 2009-01-07 20.602559 20.618204 19.898600 19.976818   83175000    19.976818
## 2009-01-08 19.624839 19.937710 19.476225 19.890779   56783900    19.890779
## 2009-01-09 19.742168 19.820386 19.265039 19.460583  103377500    19.460583
## 2009-01-12 19.241571 19.257215 18.506324 18.639294   65283500    18.639294
## 2009-01-13 18.529787 18.952163 18.435925 18.694044   55003100    18.694044
## 2009-01-14 18.279493 18.287313 17.622463 17.786720  103322800    17.786720
## 2009-01-15 17.802366 18.209100 17.145337 17.990089  109003500    17.990089
## 2009-01-16 18.506328 18.521971 17.622468 18.185635   79520400    18.185635
## 2009-01-20 17.622462 17.677214 16.808997 16.832462  126067100    16.832462
## 2009-01-21 17.278305 17.833650 16.848108 17.747612  103794300    17.747612
## 2009-01-22 17.160976 17.489491 16.785529 17.160976   83312100    17.160976
## 2009-01-23 16.527412 17.544244 16.496126 17.379986   77371100    17.379986
## 2009-01-26 17.559892 18.052664 17.372168 17.583357   67314400    17.583357
## 2009-01-27 17.794543 18.037017 17.638106 17.896225   72898600    17.896225
## 2009-01-28 18.459396 18.913059 18.365535 18.803555   93809800    18.803555
## 2009-01-29 18.201275 18.271672 17.841472 17.849295   59937600    17.849295
## 2009-01-30 18.052660 18.240383 17.575531 17.716324   99451200    17.716324
## 2009-02-02 17.364343 17.692857 17.286124 17.536421   47753900    17.536421
## 2009-02-03 17.716328 18.115238 17.512961 18.060486   53163700    18.060486
## 2009-02-04 18.240382 18.608006 18.037015 18.193451   65511300    18.193451
## 2009-02-05 18.076132 18.787913 17.904051 18.576725   95946700    18.576725
## 2009-02-06 18.858309 19.585735 18.787913 19.507517   79125400    19.507517
## 2009-02-09 19.476229 19.640487 19.241575 19.405832   53789200    19.405832
## 2009-02-10 19.257213 19.437113 18.232559 18.232559   92940400    18.232559
## 2009-02-11 18.694047 18.905235 18.326424 18.780087   66598400    18.780087
## 2009-02-12 18.201278 18.701872 18.037020 18.662764   69735000    18.662764
## 2009-02-13 18.740976 18.881768 18.506323 18.756620   58072700    18.756620
## 2009-02-17 17.669397 17.763258 17.270486 17.559893  115591100    17.559893
## 2009-02-18 17.575532 17.755435 17.114048 17.434742   83947600    17.434742
## 2009-02-19 17.802366 17.818010 17.231377 17.270485   59593900    17.270485
## 2009-02-20 16.738601 17.168799 16.582166 16.832462  102871400    16.832462
## 2009-02-23 17.309592 17.348701 16.386624 16.417910  103469300    16.417910
## 2009-02-24 16.574346 17.364345 16.464839 17.317413   99563300    17.317413
## 2009-02-25 17.192261 17.379983 16.738598 17.020182   81182000    17.020182
## 2009-02-26 17.239193 17.442558 16.848104 16.871569   56997700    16.871569
## 2009-02-27 16.433558 17.168806 16.425736 16.605637   74829200    16.605637
## 2009-03-02 16.128507 16.238011 15.534052 15.596626   97424500    15.596626
## 2009-03-03 15.995538 16.120687 15.557517 15.815636   85418100    15.815636
## 2009-03-04 16.621282 17.168808 16.472668 16.926331  102892700    16.926331
## 2009-03-05 16.339690 16.589987 16.136324 16.230186  101629700    16.230186
## 2009-03-06 16.566522 16.785531 16.073750 16.503948   76598000    16.503948
## 2009-03-09 16.284940 16.676029 16.136326 16.183258   67052500    16.183258
## 2009-03-10 16.879395 17.512958 16.824642 17.497316   92651000    17.497316
## 2009-03-11 17.630286 17.755435 17.231376 17.497316   73894400    17.497316
## 2009-03-12 17.426921 18.209099 17.356525 18.169989   77706800    18.169989
## 2009-03-13 18.310779 18.373353 17.888404 18.271671   67993700    18.271671
## 2009-03-16 18.561080 18.772268 18.263852 18.287317   58545900    18.287317
## 2009-03-17 18.240387 18.686228 18.107417 18.686228   61603300    18.686228
## 2009-03-18 18.490683 19.171178 18.209100 19.077316   80664200    19.077316
## 2009-03-19 19.296326 19.351079 18.866129 18.952168   95853100    18.952168
## 2009-03-20 18.897410 19.053846 18.631470 18.694044   68480300    18.694044
## 2009-03-23 19.523155 20.453947 19.484047 20.422661  135850200    20.422661
## 2009-03-24 19.890773 20.180178 19.726515 19.789089  101954700    19.789089
## 2009-03-25 19.969001 20.438306 19.687416 20.086327  111157000    20.086327
## 2009-03-26 20.539985 20.712065 20.320976 20.633846   76714100    20.633846
## 2009-03-27 20.188007 20.211473 19.890780 20.023750   98452500    20.023750
## 2009-03-30 19.186818 19.194640 18.827016 18.991274   78970500    18.991274
## 2009-03-31 19.530980 19.710883 19.296328 19.405832   83243900    19.405832
## 2009-04-01 19.398008 20.109790 19.335434 20.047216   62557700    20.047216
## 2009-04-02 20.798103 21.439488 20.774637 21.134439  106959400    21.134439
## 2009-04-03 20.993648 21.447311 20.915431 21.392559   75869500    21.392559
## 2009-04-06 21.165731 21.204842 20.774642 21.126623   71265800    21.126623
## 2009-04-07 20.758996 20.899787 20.602560 20.641668   45654200    20.641668
## 2009-04-08 20.805929 21.118800 20.657315 20.946722   48555500    20.946722
## 2009-04-09 21.650679 21.877510 21.611570 21.861868   90146100    21.861868
## 2009-04-13 21.807109 22.104337 21.619386 21.994833   52643700    21.994833
## 2009-04-14 21.861866 22.073052 21.595925 21.642855   59824500    21.642855
## 2009-04-15 21.705432 21.963551 21.572462 21.955729   54941500    21.955729
## 2009-04-16 22.073058 22.292069 21.799297 22.143454   81078700    22.143454
## 2009-04-17 22.104345 22.166919 21.877513 21.987019   53672500    21.987019
## 2009-04-20 21.423841 21.431663 20.891960 20.915426   81304500    20.915426
## 2009-04-21 20.860678 21.416023 20.719886 21.361271   78959000    21.361271
## 2009-04-22 21.040578 21.588102 21.001469 21.181370   49027000    21.181370
## 2009-04-23 21.478602 21.556820 21.197019 21.509890   60314600    21.509890
## 2009-04-24 21.846220 22.033943 21.713250 21.916616   55511400    21.916616
## 2009-04-27 21.275232 21.509885 21.048400 21.181370   63328900    21.181370
## 2009-04-28 20.743352 21.306519 20.727708 21.110975   47904400    21.110975
## 2009-04-29 21.697605 22.417208 21.627209 22.221664   74377700    22.221664
## 2009-04-30 22.644046 22.706620 22.237312 22.425035   98171200    22.425035
## 2009-05-01 22.456322 22.925628 22.354639 22.753550   57110400    22.753550
## 2009-05-04 23.426221 25.068792 23.348002 24.325724   98247800    24.325724
## 2009-05-05 24.138008 24.161472 23.832957 24.106720   68791600    24.106720
## 2009-05-06 24.458697 24.716815 24.161468 24.521271   73761000    24.521271
## 2009-05-07 24.865429 24.881071 23.723448 23.911171   75753800    23.911171
## 2009-05-08 24.466520 24.787213 24.192757 24.708994   75762100    24.708994
## 2009-05-11 24.247513 24.372661 23.973750 24.130186   58826800    24.130186
## 2009-05-12 24.521271 24.576023 23.989390 24.302261   49679000    24.302261
## 2009-05-13 23.746913 23.809487 23.332358 23.410576   67084800    23.410576
## 2009-05-14 23.316717 23.895528 23.293253 23.746916   44896300    23.746916
## 2009-05-15 23.762558 23.958102 23.348004 23.527905   53304900    23.527905
## 2009-05-18 24.317908 24.920185 24.247512 24.834145   74264200    24.834145
## 2009-05-19 24.928011 25.381674 24.826327 25.115734   73775000    25.115734
## 2009-05-20 25.412959 25.741472 25.100086 25.193947   77054600    25.193947
## 2009-05-21 24.724638 24.865430 24.427410 24.724638   63183300    24.724638
## 2009-05-22 24.787215 25.092265 24.701175 24.834145   44241600    24.834145
## 2009-05-26 24.443057 25.186126 24.224046 25.131374   67058200    25.131374
## 2009-05-27 25.412956 25.522460 24.826321 24.841965   98036100    24.841965
## 2009-05-28 25.256519 25.678896 25.045330 25.608500   69977300    25.608500
## 2009-05-29 26.023060 26.132565 25.718011 25.999596   70410400    25.999596
## 2009-06-01 26.797415 27.290187 26.672266 27.094643   75198300    27.094643
## 2009-06-02 26.773940 26.953840 26.562751 26.703543  100627600    26.703543
## 2009-06-03 26.304638 26.398499 25.412956 25.757113  108756900    25.757113
## 2009-06-04 25.952660 26.320285 24.075434 26.234245   71566500    26.234245
## 2009-06-05 26.719193 26.727013 25.913551 26.288996   71692700    26.288996
## 2009-06-08 25.718006 26.101272 25.498994 25.882263   64025700    25.882263
## 2009-06-09 26.046519 26.085627 25.569391 25.929195   62174500    25.929195
## 2009-06-10 26.523644 26.554932 25.890079 26.257704   60045900    26.257704
## 2009-06-11 26.382851 27.063344 26.351563 26.820871   68831300    26.820871
## 2009-06-12 26.453253 26.492361 26.124740 26.390680   55824300    26.390680
## 2009-06-15 25.874442 25.890083 25.170481 25.444242   75789300    25.444242
## 2009-06-16 25.577211 25.718003 24.967112 25.060974   71535900    25.060974
## 2009-06-17 24.865436 25.037513 24.505634 24.779396   94091200    24.779396
## 2009-06-18 24.677706 24.935825 24.521271 24.708994   62572000    24.708994
## 2009-06-19 25.045333 25.084442 24.771571 24.834145   60687200    24.834145
## 2009-06-22 24.489978 24.552552 23.918989 23.934633   80985000    23.934633
## 2009-06-23 24.097866 24.168836 23.750909 24.089981   87108200    24.089981
## 2009-06-24 24.728701 24.988920 24.444824 24.618303   80955800    24.618303
## 2009-06-25 24.460595 25.351650 24.452710 25.351650   83273600    25.351650
## 2009-06-26 25.359539 25.611873 25.280686 25.485706   64981100    25.485706
## 2009-06-29 25.714377 25.753803 25.414730 25.674950   52781900    25.674950
## 2009-06-30 25.651296 25.761691 25.233369 25.414734   92032200    25.414734
## 2009-07-01 25.958827 26.179621 25.816892 25.879974   83474500    25.879974
## 2009-07-02 25.438389 25.454161 25.130860 25.170286   59912900    25.170286
## 2009-07-06 24.815442 25.154516 24.618306 25.115089   52119200    25.115089
## 2009-07-07 25.075659 25.130859 24.507909 24.523680   68778800    24.523680
## 2009-07-08 24.618303 24.689272 23.853417 24.239803   92051000    24.239803
## 2009-07-09 24.752357 24.878524 24.492138 24.673504   64758500    24.673504
## 2009-07-10 24.342316 24.492137 24.113637 24.381742   74323300    24.381742
## 2009-07-13 24.231921 24.681390 23.892847 24.555223   70112100    24.555223
## 2009-07-14 24.854868 24.949492 24.578878 24.823326   41729700    24.823326
## 2009-07-15 25.564561 26.187511 25.525134 26.155968   91648100    26.155968
## 2009-07-16 26.006138 26.384638 25.801118 26.203274   63985200    26.203274
## 2009-07-17 26.282127 26.534461 26.132302 26.471376   56901900    26.471376
## 2009-07-20 27.117986 27.417633 27.039133 27.417633   68482100    27.417633
## 2009-07-21 27.559562 27.575333 26.912957 27.338768   68861800    27.338768
## 2009-07-22 26.952391 27.512256 26.936621 27.275694   69406200    27.275694
## 2009-07-23 27.472837 28.214066 27.417639 28.048473   79876800    28.048473
## 2009-07-24 27.756701 27.938065 27.543793 27.914410   49263200    27.914410
## 2009-07-27 28.032690 28.190399 27.748815 28.158857   42808800    28.158857
## 2009-07-28 27.914415 28.111551 27.630539 28.032694   53859400    28.032694
## 2009-07-29 27.685739 27.701510 27.228383 27.401863   53099700    27.401863
## 2009-07-30 28.174626 28.403304 28.048460 28.080002   90259400    28.080002
## 2009-07-31 28.261375 28.426969 28.009042 28.214062  119531600    28.214062
## 2009-08-03 28.971062 29.325904 28.837008 29.270706   78103100    29.270706
## 2009-08-04 28.821239 29.168200 28.766042 29.002604   53355600    29.002604
## 2009-08-05 28.766047 28.876442 28.324461 28.758162   47802100    28.758162
## 2009-08-06 28.907981 28.947407 28.221949 28.521593   53346600    28.521593
## 2009-08-07 28.789699 28.978951 28.537366 28.805471   57768600    28.805471
## 2009-08-10 28.561017 28.647757 28.237714 28.482161   61356900    28.482161
## 2009-08-11 28.245600 28.261371 27.772475 27.945953   70127000    27.945953
## 2009-08-12 27.843446 28.387540 27.827675 28.198288   64542700    28.198288
## 2009-08-13 28.671416 28.695071 28.237718 28.687187   67566500    28.687187
## 2009-08-14 28.647764 28.679303 28.032698 28.166752   52588400    28.166752
## 2009-08-17 27.181068 27.236266 26.912964 27.062786  105003100    27.062786
## 2009-08-18 27.417629 27.669963 27.338773 27.654192   67450600    27.654192
## 2009-08-19 27.110103 27.796135 27.031248 27.725166   67893600    27.725166
## 2009-08-20 27.804021 28.261377 27.740939 28.206179   71352300    28.206179
## 2009-08-21 28.474280 28.726613 28.363884 28.631989   81207200    28.631989
## 2009-08-24 28.947411 29.105120 28.647767 28.758162   58467000    28.758162
## 2009-08-25 28.963173 29.176080 28.679297 28.695068   61418900    28.695068
## 2009-08-26 28.553132 28.687186 28.379655 28.608330   57206000    28.608330
## 2009-08-27 28.426968 28.608333 28.016926 28.553135   59720400    28.553135
## 2009-08-28 28.718729 28.766043 28.245604 28.403313   51683600    28.403313
## 2009-08-31 27.922302 27.945958 27.748822 27.843449   72348200    27.843449
## 2009-09-01 27.914414 28.285027 27.291464 27.315119   95728700    27.315119
## 2009-09-02 27.354551 27.725167 27.315124 27.606884   68401900    27.606884
## 2009-09-03 28.009035 28.182516 27.748815 28.158857   53720900    28.158857
## 2009-09-04 28.363889 28.734502 28.127324 28.702963   58976200    28.702963
## 2009-09-08 29.199739 29.341677 29.152429 29.294367   59862900    29.294367
## 2009-09-09 29.412646 29.641324 29.262824 29.452072   67098400    29.452072
## 2009-09-10 29.467835 29.862106 28.016917 29.838451   58466700    29.838451
## 2009-09-11 29.948855 30.098677 29.657095 29.854231   45286800    29.854231
## 2009-09-14 29.420534 29.806919 29.381105 29.743837   36747500    29.743837
## 2009-09-15 29.791140 30.122330 29.688632 30.098671   61595600    30.098671
## 2009-09-16 30.540259 33.118794 30.382550 30.855677   80170500    30.855677
## 2009-09-17 30.776824 31.029157 30.548149 30.690084   76626800    30.690084
## 2009-09-18 30.839916 30.871459 30.627009 30.776831   66818800    30.776831
## 2009-09-21 30.366780 30.571802 30.082907 30.508718   78144500    30.508718
## 2009-09-22 30.918761 31.037044 30.713741 30.973959   46286700    30.973959
## 2009-09-23 30.918760 31.155322 30.508718 30.508718   72549000    30.508718
## 2009-09-24 30.619116 30.674314 29.728062 29.909426   93478600    29.909426
## 2009-09-25 29.909432 30.185421 29.846347 30.035599   61306900    30.035599
## 2009-09-28 30.114448 30.619118 30.059250 30.421982   52268400    30.421982
## 2009-09-29 30.579687 30.674315 30.287927 30.492947   42189900    30.492947
## 2009-09-30 30.729511 31.005501 30.280043 30.682198  147148900    30.682198
## 2009-10-01 30.603341 30.650652 29.799028 29.846338  107061100    29.846338
## 2009-10-02 29.475730 29.948855 29.412645 29.854231   73683200    29.854231
## 2009-10-05 30.130211 30.634878 29.972502 30.548141   73828900    30.548141
## 2009-10-06 30.863564 31.368232 30.800482 31.052816   80646200    31.052816
## 2009-10-07 30.958178 31.076461 30.737388 31.021263   51404500    31.021263
## 2009-10-08 31.289384 31.510175 31.076477 31.399780   62070300    31.399780
## 2009-10-09 31.384002 31.510168 31.289377 31.423428   54136800    31.423428
## 2009-10-12 31.636346 31.841368 31.533837 31.683659   38014600    31.683659
## 2009-10-13 31.620567 31.801935 31.344579 31.738850   58368400    31.738850
## 2009-10-14 32.393345 32.763958 32.290834 32.763958   96043000    32.763958
## 2009-10-15 32.416995 32.661441 32.346025 32.582588   72494700    32.582588
## 2009-10-16 32.085805 32.267169 31.817699 32.133118   72392900    32.133118
## 2009-10-19 32.401222 32.803377 32.259284 32.748180   60428800    32.748180
## 2009-10-20 32.574707 32.582592 31.991184 32.314487   84292300    32.314487
## 2009-10-21 32.164662 32.763953 32.125235 32.141003   74510100    32.141003
## 2009-10-22 32.093696 32.519510 31.778277 32.409111   71024900    32.409111
## 2009-10-23 32.614131 32.669328 31.975410 32.141003   73930400    32.141003
## 2009-10-26 32.409110 32.669331 31.667881 31.738850   79280900    31.738850
## 2009-10-27 31.746725 31.794040 31.186861 31.186861   95899600    31.186861
## 2009-10-28 30.863561 30.863561 29.688635 29.759604  169924100    29.759604
## 2009-10-29 30.280039 31.163206 30.280039 31.076466   99431400    31.076466
## 2009-10-30 30.808365 30.832020 29.428415 29.625551  222474200    29.625551
## 2009-11-02 30.067137 30.508719 29.554583 30.067137  137964200    30.067137
## 2009-11-03 29.523047 30.216965 29.491507 30.114454   71908600    30.114454
## 2009-11-04 30.784704 31.068580 30.461402 30.674309   95721700    30.674309
## 2009-11-05 30.895100 31.313027 30.745279 31.305143   75480000    31.305143
## 2009-11-06 30.997612 31.439194 30.918756 31.265717   58868500    31.265717
## 2009-11-09 31.833481 32.456430 31.825597 32.417004  106762900    32.417004
## 2009-11-10 32.070026 32.432758 32.022716 32.267162   62713800    32.267162
## 2009-11-11 32.716640 32.827035 32.314482 32.543159   69184200    32.543159
## 2009-11-12 32.306602 32.472195 31.762506 31.817703   75713600    31.817703
## 2009-11-13 32.022717 32.464298 31.880778 32.361790   70021000    32.361790
## 2009-11-16 32.827038 33.308050 32.811267 33.173996  101093400    33.173996
## 2009-11-17 32.842811 33.055714 32.622016 33.055714   49649500    33.055714
## 2009-11-18 33.039944 33.095141 32.692983 32.795494   46360800    32.795494
## 2009-11-19 32.440653 32.440653 31.896560 32.188320  119413400    32.188320
## 2009-11-20 32.014830 32.188311 31.849237 32.054260   66353700    32.054260
## 2009-11-23 32.763951 33.008401 32.582587 32.724525   62386100    32.724525
## 2009-11-24 32.487962 32.574701 32.164659 32.543159   71683700    32.543159
## 2009-11-25 32.708747 32.953196 32.519499 32.921654   56185100    32.921654
## 2009-11-27 31.360339 32.054258 30.981839 31.644215  105903600    31.644215
## 2009-11-30 31.904439 32.030605 31.596908 31.951752  102168700    31.951752
## 2009-12-01 32.598347 32.984734 32.566804 32.866451   88987900    32.866451
## 2009-12-02 32.898011 33.244969 32.866468 33.000519   64268600    33.000519
## 2009-12-03 33.189765 33.363245 32.637784 32.692982   65363400    32.692982
## 2009-12-04 33.331707 33.528843 32.566820 32.992634  108670600    32.992634
## 2009-12-07 32.779717 33.047821 32.685093 32.708748   78376400    32.708748
## 2009-12-08 32.385446 32.401217 32.014830 32.101570   76088400    32.101570
## 2009-12-09 32.148888 32.330252 31.943865 32.298710   62353800    32.298710
## 2009-12-10 32.464302 32.606240 32.267167 32.487961   43126100    32.487961
## 2009-12-11 32.645673 32.677213 32.401223 32.606243   41518600    32.606243
## 2009-12-14 32.763957 32.882240 32.629906 32.827042   54210800    32.827042
## 2009-12-15 32.472189 32.779721 32.448535 32.487961   47034600    32.487961
## 2009-12-16 32.732405 32.992626 32.566812 32.677208   45982000    32.677208
## 2009-12-17 32.093695 32.148892 31.730966 31.738850   77310300    31.738850
## 2009-12-18 31.849239 31.935979 31.541708 31.825584   61829500    31.825584
## 2009-12-21 31.920214 32.117350 31.754620 31.786163   54922800    31.786163
## 2009-12-22 31.915733 32.106510 31.868037 32.106510   61633400    32.106510
## 2009-12-23 32.329069 32.559594 32.114446 32.424461   48971700    32.424461
## 2009-12-24 32.694741 32.774232 32.591402 32.750385   19694800    32.750385
## 2009-12-28 32.965010 32.996804 32.710639 32.861671   27343900    32.861671
## 2009-12-29 32.934825 32.950728 32.696283 32.743992   31570300    32.743992
## 2009-12-30 32.783754 32.895073 32.704240 32.887123   30589200    32.887123
## 2009-12-31 33.101801 33.205168 32.910965 32.998432   36499500    32.998432
## 2010-01-04 33.539135 33.984417 33.523232 33.960560   70761600    33.960560
## 2010-01-05 34.119588 34.326324 34.000315 34.207054   50196300    34.207054
## 2010-01-06 34.254775 34.421755 34.199112 34.278629   50670000    34.278629
## 2010-01-07 34.071876 34.175246 33.888994 34.079830   41803700    34.079830
## 2010-01-08 34.095739 34.366088 33.984420 34.350185   41118100    34.350185
## 2010-01-11 34.548978 34.564881 34.111650 34.278629   42546400    34.278629
## 2010-01-12 33.881049 33.952611 33.555040 33.729969   65902300    33.729969
## 2010-01-13 33.865147 33.952613 33.515285 33.833340   48040100    33.833340
## 2010-01-14 33.809484 33.888998 33.690212 33.745872   52893800    33.745872
## 2010-01-15 33.650460 33.698170 33.260842 33.356258   76681800    33.356258
## 2010-01-19 33.459626 34.032127 33.451673 34.032127   57597300    34.032127
## 2010-01-20 33.483465 33.483465 32.942767 33.213116   78934700    33.213116
## 2010-01-21 33.038193 33.141562 32.187390 32.211243  116104300    32.211243
## 2010-01-22 31.980663 32.084030 31.432013 31.495626  108173800    31.495626
## 2010-01-25 31.909092 32.060168 31.543324 31.726210   86170400    31.726210
## 2010-01-26 31.113951 31.487666 28.474076 31.066242   89832400    31.066242
## 2010-01-27 30.843601 31.105997 30.517593 30.986727   91623300    30.986727
## 2010-01-28 31.265029 31.392252 30.501692 30.772041   98086600    30.772041
## 2010-01-29 31.129857 31.217320 30.279054 30.438080  151695100    30.438080
## 2010-02-01 30.724330 31.288881 30.700478 31.257078   81928100    31.257078
## 2010-02-02 31.320684 31.575130 31.026482 31.511520   86791200    31.511520
## 2010-02-03 31.519472 31.662599 31.225270 31.328640   64323800    31.328640
## 2010-02-04 30.811792 30.851549 29.897376 29.913280  131791500    29.913280
## 2010-02-05 29.650893 29.738359 28.768283 29.579330  165899900    29.579330
## 2010-02-08 29.563429 29.801972 29.277177 29.285130   78752400    29.285130
## 2010-02-09 30.000750 30.509641 29.762207 30.239292  133342000    30.239292
## 2010-02-10 30.247248 30.446033 29.825819 30.159781   84646000    30.159781
## 2010-02-11 30.366520 30.986734 30.112074 30.954927   90206600    30.954927
## 2010-02-12 30.326751 30.676616 30.112063 30.565294   63053000    30.565294
## 2010-02-16 31.026492 31.376355 30.811804 31.352501   73196700    31.352501
## 2010-02-17 31.591041 31.614894 31.272985 31.463818   63631100    31.463818
## 2010-02-18 31.217324 31.694412 31.169617 31.583092   61597600    31.583092
## 2010-02-19 31.225268 31.511521 31.137803 31.312735   77264800    31.312735
## 2010-02-22 31.503577 31.519480 31.249132 31.352501   56446600    31.352501
## 2010-02-23 31.177558 31.352490 30.605057 30.628910  103220800    30.628910
## 2010-02-24 30.835649 31.066242 30.652766 30.923115   73043700    30.923115
## 2010-02-25 30.191586 30.724330 30.024603 30.668671   73641500    30.668671
## 2010-02-26 30.700484 31.042396 30.509648 30.978783   65727300    30.978783
## 2010-03-01 31.352502 31.591045 31.272989 31.503578   73146100    31.503578
## 2010-03-02 31.821634 32.044273 31.686458 31.861391   66353000    31.861391
## 2010-03-03 32.028373 32.298722 31.781880 31.901150   68779900    31.901150
## 2010-03-04 31.925001 31.964757 31.535379 31.734165   61065500    31.734165
## 2010-03-05 32.171497 32.561119 32.052227 32.561119   78177700    32.561119
## 2010-03-08 32.632685 32.751955 32.537266 32.584976   56724000    32.584976
## 2010-03-09 32.441840 32.918929 32.433890 32.767849   66759800    32.767849
## 2010-03-10 32.839403 33.133605 32.767840 32.998432   73994500    32.998432
## 2010-03-11 32.807607 33.038200 32.632678 33.006393   42415700    33.006393
## 2010-03-12 33.157468 33.165418 32.799653 32.895069   48949200    32.895069
## 2010-03-15 32.704237 32.791704 32.449792 32.656528   43560300    32.656528
## 2010-03-16 32.767852 33.093861 32.640629 33.077957   58417000    33.077957
## 2010-03-17 33.403965 33.594801 33.292646 33.435772   72017100    33.435772
## 2010-03-18 33.372148 33.419855 33.022284 33.181313   73867900    33.181313
## 2010-03-19 32.751945 33.292642 32.704238 32.751945   65993900    32.751945
## 2010-03-22 32.417984 32.903023 32.338469 32.871216   57583400    32.871216
## 2010-03-23 32.910974 33.125663 32.759898 33.101810   50528500    33.101810
## 2010-03-24 32.751949 32.887125 32.608822 32.608822   65081100    32.608822
## 2010-03-25 32.879169 32.998442 32.457745 32.521358   72397600    32.521358
## 2010-03-26 32.791709 32.910978 32.402087 32.680386   69798700    32.680386
## 2010-03-29 33.022292 33.284691 32.950729 33.268787   57961300    33.268787
## 2010-03-30 33.348306 33.491431 33.173376 33.396015   50327500    33.396015
## 2010-03-31 33.284689 33.578892 33.268786 33.491425   52858500    33.491425
## 2010-04-01 33.984421 34.366089 33.984421 34.366089   96281100    34.366089
## 2010-04-05 34.541006 34.787501 34.461493 34.676182   63633700    34.676182
## 2010-04-06 34.541011 34.859069 34.517157 34.779556   42926300    34.779556
## 2010-04-07 34.636438 34.723901 34.294526 34.477409   55642000    34.477409
## 2010-04-08 34.246819 34.636440 34.079839 34.596680   52083200    34.596680
## 2010-04-09 34.668240 37.101380 34.612581 34.811367   46651000    34.811367
## 2010-04-12 34.548977 34.723906 34.533073 34.533073   43558300    34.533073
## 2010-04-13 34.437652 34.501262 34.119594 34.461506   47072900    34.461506
## 2010-04-14 34.819318 35.002200 34.660288 34.970394   42957800    34.970394
## 2010-04-15 34.747749 34.970389 34.707993 34.779556   43463300    34.779556
## 2010-04-16 34.389936 34.445596 33.610696 33.761772  142486200    33.761772
## 2010-04-19 33.364203 33.698165 33.117711 33.626602   89434600    33.626602
## 2010-04-20 33.928754 34.079834 33.753825 34.024174   63883700    34.024174
## 2010-04-21 33.960567 34.008277 33.602752 33.912861   64141600    33.912861
## 2010-04-22 33.610706 34.087791 33.388068 34.055988   72788900    34.055988
## 2010-04-23 33.944653 34.278614 33.785626 34.238857   64724100    34.238857
## 2010-04-26 34.453546 34.509206 34.183198 34.238857   46317300    34.238857
## 2010-04-27 33.857192 33.936705 32.942776 33.014339  132888400    33.014339
## 2010-04-28 33.403956 33.443716 32.831456 33.292637   68981700    33.292637
## 2010-04-29 33.602745 33.881047 33.523232 33.841290   69912900    33.841290
## 2010-04-30 33.825394 33.944664 33.403965 33.435772   77528000    33.435772
## 2010-05-03 33.547082 33.729964 33.316493 33.618645   47649800    33.618645
## 2010-05-04 32.903023 32.926876 31.988607 32.076073  159998800    32.076073
## 2010-05-05 31.471772 32.012467 31.193471 31.495626  131994700    31.495626
## 2010-05-06 31.257081 31.614893 29.086341 30.207493  225063100    30.207493
## 2010-05-07 30.501688 30.883356 29.619078 30.366512  191265100    30.366512
## 2010-05-10 32.306669 32.624725 32.115833 32.553162  187916400    32.553162
## 2010-05-11 31.805731 32.441844 31.726218 31.964760  119869600    31.964760
## 2010-05-12 32.235108 32.417990 32.123789 32.362331   73936600    32.362331
## 2010-05-13 32.362332 32.545214 32.036323 32.060177   71622500    32.060177
## 2010-05-14 31.829584 31.853440 31.090100 31.400209  113085000    31.400209
## 2010-05-17 31.328627 31.543312 30.533484 31.209354  101708500    31.209354
## 2010-05-18 31.519465 31.638738 30.453974 30.557343  113529000    30.557343
## 2010-05-19 30.135925 30.453980 29.706547 30.263147  129633400    30.263147
## 2010-05-20 29.110195 29.468010 28.625157 28.760330  174383500    28.760330
## 2010-05-21 28.394567 29.722458 28.362760 29.690651  169452900    29.690651
## 2010-05-24 29.714493 29.921232 29.340779 29.380535   90936400    29.380535
## 2010-05-25 28.203726 29.110189 27.996987 29.062479  144257100    29.062479
## 2010-05-26 29.364639 29.833774 28.975018 29.046581  128281900    29.046581
## 2010-05-27 30.183627 30.859500 29.960988 30.803841  147181800    30.803841
## 2010-05-28 30.628914 30.684574 30.151826 30.294952  113223700    30.294952
## 2010-06-01 29.984851 30.557355 29.722455 29.738359   91068700    29.738359
## 2010-06-02 30.080263 30.803844 29.921234 30.779987  103740800    30.779987
## 2010-06-03 30.978776 31.018532 30.279052 30.668671   70470800    30.668671
## 2010-06-04 30.008708 30.310860 29.491863 29.579330  108937200    29.579330
## 2010-06-07 29.690643 29.817866 29.094286 29.118139   82131900    29.118139
## 2010-06-08 29.444158 29.825826 29.086346 29.786070  108438000    29.786070
## 2010-06-09 29.913289 30.310861 29.468011 29.627037   87947600    29.627037
## 2010-06-10 30.247252 30.700484 30.199543 30.660727   92855100    30.660727
## 2010-06-11 30.215447 30.843611 30.207497 30.819754   66496500    30.819754
## 2010-06-14 31.201411 31.408146 30.748176 30.827692   83991300    30.827692
## 2010-06-15 31.169609 31.797773 31.050336 31.758013   96494500    31.758013
## 2010-06-16 31.416101 31.901139 31.368394 31.758013   63906600    31.758013
## 2010-06-17 31.845480 31.853433 31.336589 31.598988   68660100    31.598988
## 2010-06-18 31.734169 31.909101 31.559237 31.742119   64639800    31.742119
## 2010-06-21 32.569058 32.704234 32.044264 32.290760   96721100    32.290760
## 2010-06-22 32.227145 32.386174 31.591031 31.670547  100336600    31.670547
## 2010-06-23 31.896261 31.920276 31.416018 31.752188   93969400    31.752188
## 2010-06-24 31.608119 31.608119 31.071844 31.191906   82636000    31.191906
## 2010-06-25 31.279960 31.640141 31.031831 31.560101   60657800    31.560101
## 2010-06-28 31.536085 31.616124 31.239931 31.343985   36242500    31.343985
## 2010-06-29 30.495559 30.527576 29.935276 30.071344  120391400    30.071344
## 2010-06-30 30.223403 30.495542 29.791185 29.871225   84176700    29.871225
## 2010-07-01 30.015316 30.127373 29.423012 30.087353  113344200    30.087353
## 2010-07-02 30.175392 30.383497 29.959281 30.215412   63854500    30.215412
## 2010-07-06 30.991804 31.247935 30.463535 30.775694   76509800    30.775694
## 2010-07-07 30.735682 31.464053 30.703665 31.456047   68037800    31.456047
## 2010-07-08 31.512077 31.640142 31.199918 31.608128   60958700    31.608128
## 2010-07-09 31.632131 32.024329 31.584105 31.992315   43777100    31.992315
## 2010-07-12 31.864247 32.048341 31.592109 31.736183   53211600    31.736183
## 2010-07-13 32.008326 32.208428 31.928283 32.104374   52194800    32.104374
## 2010-07-14 31.896266 32.128385 31.784209 32.040340   46615600    32.040340
## 2010-07-15 31.896266 31.960301 31.496062 31.888264   66745400    31.888264
## 2010-07-16 31.624131 31.624131 30.879754 30.935783   99497500    30.935783
## 2010-07-19 31.231928 31.416022 31.015818 31.343985   46717800    31.343985
## 2010-07-20 31.135878 32.128382 31.119869 32.080360   92255200    32.080360
## 2010-07-21 32.216426 32.240438 31.600112 31.752188   66007400    31.752188
## 2010-07-22 32.304474 32.768710 32.272457 32.712681   74052900    32.712681
## 2010-07-23 32.624632 32.968808 32.408525 32.936794   65675400    32.936794
## 2010-07-26 32.872765 33.192929 32.744700 33.160912   64865500    33.160912
## 2010-07-27 33.345007 33.385026 32.936800 33.104885   63763700    33.104885
## 2010-07-28 32.904776 33.120886 32.800722 32.920784   43131400    32.920784
## 2010-07-29 33.264969 33.337007 32.728694 32.976822   49588200    32.976822
## 2010-07-30 32.728687 33.240949 32.624634 33.136898   54277200    33.136898
## 2010-08-02 33.761217 34.089384 33.673172 33.993336   69623700    33.993336
## 2010-08-03 33.729194 33.961313 33.561109 33.833248   60207900    33.833248
## 2010-08-04 33.841264 33.961326 33.617151 33.881287   55875600    33.881287
## 2010-08-05 33.633158 33.777232 33.513096 33.729206   43650600    33.729206
## 2010-08-06 33.505084 33.769217 33.296976 33.681175   65731600    33.681175
## 2010-08-09 33.905299 33.929310 33.745217 33.857273   27051000    33.857273
## 2010-08-10 33.264959 33.609135 33.152899 33.393024   68735400    33.393024
## 2010-08-11 32.696674 32.696674 32.272459 32.328487   92778600    32.328487
## 2010-08-12 32.024322 32.480557 31.992308 32.384506   43919400    32.384506
## 2010-08-13 32.520580 32.672657 32.424529 32.560600   28672700    32.560600
## 2010-08-16 32.544605 32.896783 32.464565 32.864769   34651900    32.864769
## 2010-08-17 33.192926 33.393028 33.064861 33.208935   39414300    33.208935
## 2010-08-18 33.136907 33.353014 32.976824 33.184929   38009500    33.184929
## 2010-08-19 33.192927 33.288975 32.720686 32.928791   56729300    32.928791
## 2010-08-20 32.808737 32.856759 32.568612 32.832748   54134900    32.832748
## 2010-08-23 32.912780 33.024837 32.520582 32.536591   44767900    32.536591
## 2010-08-24 32.152394 32.280462 31.864249 32.120380   80709600    32.120380
## 2010-08-25 31.792217 32.040342 31.464050 31.912277   89890000    31.912277
## 2010-08-26 32.080371 32.216439 31.664158 31.712181   59948200    31.712181
## 2010-08-27 32.016325 32.416529 31.672150 32.408527   77005500    32.408527
## 2010-08-30 32.208430 32.352500 31.864254 31.872257   48054700    31.872257
## 2010-08-31 31.896266 32.192419 31.800218 32.064354   72404500    32.064354
## 2010-09-01 32.648650 33.208937 32.624636 33.192928   83435900    33.192928
## 2010-09-02 33.128892 33.312986 33.016836 33.248955   47351900    33.248955
## 2010-09-03 33.649161 33.753211 33.465067 33.641155   48712700    33.641155
## 2010-09-07 33.433049 33.457061 33.136900 33.152905   45210000    33.152905
## 2010-09-08 33.401032 33.649159 33.345003 33.513088   40612600    33.513088
## 2010-09-09 33.865271 33.889282 33.537104 33.705189   34925400    33.705189
## 2010-09-10 33.713189 33.889279 33.673169 33.825245   33236500    33.825245
## 2010-09-13 34.473581 34.673683 34.441564 34.633663   63308900    34.633663
## 2010-09-14 34.537618 34.841771 34.401547 34.617657   65151200    34.617657
## 2010-09-15 34.489593 34.689695 34.393545 34.665684   41107300    34.665684
## 2010-09-16 34.393549 34.553628 34.361532 34.489597   36078100    34.489597
## 2010-09-17 34.649670 34.665678 34.385534 34.433559   40115200    34.433559
## 2010-09-20 34.681687 35.017857 34.569627 34.977837   53864500    34.977837
## 2010-09-21 34.993849 35.073889 34.665682 34.873787   54263300    34.873787
## 2010-09-22 34.937821 35.145925 34.793746 34.897797   45586800    34.897797
## 2010-09-23 34.681685 35.033863 34.585633 34.673679   62060200    34.673679
## 2010-09-24 35.097900 35.338026 35.097900 35.314011   57929100    35.314011
## 2010-09-27 35.289993 35.394046 35.193944 35.249973   40319500    35.249973
## 2010-09-28 35.297995 35.570135 35.009852 35.506104   50012300    35.506104
## 2010-09-29 35.530115 35.786245 35.474087 35.626163   58310500    35.626163
## 2010-09-30 35.882296 36.010361 35.578140 35.834270   60498400    35.834270
## 2010-10-01 36.218468 36.418570 36.098405 36.362541   69689800    36.362541
## 2010-10-04 36.338530 36.426571 36.082399 36.250484   49852800    36.250484
## 2010-10-05 36.522626 36.978859 36.474601 36.906822   76615300    36.906822
## 2010-10-06 36.898818 37.002873 36.818779 36.890816   50339900    36.890816
## 2010-10-07 36.970860 36.978866 36.378560 36.562653   49224000    36.562653
## 2010-10-08 36.538641 37.058904 36.458598 37.002876   54002700    37.002876
## 2010-10-11 36.938843 37.050900 36.842792 36.978863   32413800    36.978863
## 2010-10-12 36.650695 36.906825 36.442587 36.826782   63619500    36.826782
## 2010-10-13 37.250995 37.627185 37.242990 37.507126   69189600    37.507126
## 2010-10-14 37.475106 37.611177 37.250993 37.443089   50754200    37.443089
## 2010-10-15 37.635195 37.643198 37.122934 37.395073   83974500    37.395073
## 2010-10-18 37.106927 37.459105 37.050898 37.411083   51898000    37.411083
## 2010-10-19 36.562648 36.682711 36.082405 36.226475   90101300    36.226475
## 2010-10-20 36.530625 37.042887 36.498608 36.802765   62292200    36.802765
## 2010-10-21 37.010873 37.218977 36.410567 36.802765   85422400    36.802765
## 2010-10-22 36.954845 36.986862 36.722729 36.842789   42843800    36.842789
## 2010-10-25 37.291006 37.531128 37.218970 37.242981   53950800    37.242981
## 2010-10-26 37.002871 37.267007 36.890814 37.210979   36715600    37.210979
## 2010-10-27 36.682709 36.682709 36.234479 36.578655   70436800    36.578655
## 2010-10-28 36.914819 36.946836 36.618668 36.810768   45927000    36.810768
## 2010-10-29 36.746744 36.922835 36.682713 36.914829   38056300    36.914829
## 2010-11-01 37.291004 37.515117 37.122919 37.323021   47366500    37.323021
## 2010-11-02 37.659208 37.819290 37.579168 37.787273   48355900    37.787273
## 2010-11-03 37.875321 38.043405 37.411085 38.019394   94125200    38.019394
## 2010-11-04 38.595687 38.883835 38.555664 38.883835   83567900    38.883835
## 2010-11-05 38.683733 38.899840 38.651716 38.811798   53781000    38.811798
## 2010-11-08 38.507641 38.683731 38.411592 38.651714   37106100    38.651714
## 2010-11-09 38.843798 38.915835 38.035387 38.163452   55351100    38.163452
## 2010-11-10 38.371563 38.507634 37.915331 38.443600   66304400    38.443600
## 2010-11-11 38.067413 38.099427 37.859305 38.067413   48410200    38.067413
## 2010-11-12 37.531137 37.723237 36.994865 37.146942   88808000    37.146942
## 2010-11-15 37.331041 37.523141 37.106928 37.130939   48585300    37.130939
## 2010-11-16 36.746742 36.786761 36.034378 36.154438  136332900    36.154438
## 2010-11-17 36.274497 36.530627 36.202460 36.338531   80352800    36.338531
## 2010-11-18 37.034894 37.275017 37.010884 37.202980   77989900    37.202980
## 2010-11-19 37.026892 37.259011 36.802779 37.226994   48175100    37.226994
## 2010-11-22 37.034885 37.283013 36.682707 37.114925   46793100    37.114925
## 2010-11-23 36.138430 36.210467 35.858285 35.938328   86768900    35.938328
## 2010-11-24 36.522623 36.786756 36.474598 36.770748   63287600    36.770748
## 2010-11-26 36.034379 36.218473 35.858288 35.858288   60387100    35.858288
## 2010-11-29 35.986352 36.202463 35.626168 36.138432   80428200    36.138432
## 2010-11-30 35.714209 36.138427 35.642172 35.842274   78842700    35.842274
## 2010-12-01 36.738734 36.946838 36.618671 36.866798   81889600    36.866798
## 2010-12-02 36.986865 37.603180 36.970857 37.595177   72593100    37.595177
## 2010-12-03 37.275000 37.787261 37.275000 37.731232   44688700    37.731232
## 2010-12-06 37.515127 37.723235 37.483113 37.667206   44988700    37.667206
## 2010-12-07 38.091425 38.107434 37.483117 37.491119   64406800    37.491119
## 2010-12-08 37.419081 37.515129 37.042888 37.250996   48924100    37.250996
## 2010-12-09 37.395068 37.427082 37.018875 37.122929   63131000    37.122929
## 2010-12-10 37.146946 37.291019 37.010878 37.291019   44844200    37.291019
## 2010-12-13 37.515131 37.715233 37.411080 37.531139   49177500    37.531139
## 2010-12-14 37.563155 37.731239 37.467106 37.587166   53611300    37.587166
## 2010-12-15 37.371061 37.427089 36.938843 36.978863   69038700    36.978863
## 2010-12-16 37.010875 37.130934 36.834784 37.082912   55441400    37.082912
## 2010-12-17 36.986867 37.154952 36.922836 37.138947   43610700    37.138947
## 2010-12-20 37.106927 37.146947 36.882813 36.970856   48887300    36.970856
## 2010-12-21 37.373383 37.639585 37.365315 37.510517   59666300    37.510517
## 2010-12-22 37.494389 37.679924 37.462121 37.639591   24942400    37.639591
## 2010-12-23 37.510527 37.615396 37.462125 37.599262   27545100    37.599262
## 2010-12-27 37.462118 37.550853 37.373386 37.478252   29293100    37.478252
## 2010-12-28 37.550850 37.575053 37.429851 37.510517   30330000    37.510517
## 2010-12-29 37.788983 38.014973 37.780913 37.990761   30891500    37.990761
## 2010-12-30 38.200610 38.249034 38.071469 38.184467   28376000    38.184467
## 2010-12-31 38.281316 38.483094 38.184464 38.450809   34328200    38.450809
## 2011-01-03 38.765574 38.991567 38.765574 38.822071   40116200    38.822071
## 2011-01-04 38.951221 38.999649 38.539595 38.999649   45176300    38.999649
## 2011-01-05 38.660653 38.983496 38.644510 38.902786   47527100    38.902786
## 2011-01-06 38.749444 38.773660 38.402389 38.491169   43977400    38.491169
## 2011-01-07 38.345883 38.434667 37.877760 38.136036   57124900    38.136036
## 2011-01-10 37.772840 37.813195 37.538777 37.740555   62556500    37.740555
## 2011-01-11 38.152173 38.249025 37.990750 38.144100   53337100    38.144100
## 2011-01-12 38.660660 38.910862 38.612231 38.910862   67254100    38.910862
## 2011-01-13 38.822079 38.830153 38.475021 38.571877   53294600    38.571877
## 2011-01-14 38.442739 38.692942 38.426597 38.684872   38685900    38.684872
## 2011-01-18 38.620302 38.709086 38.539593 38.628376   30565800    38.628376
## 2011-01-19 38.741367 38.749437 38.192531 38.329742   64940400    38.329742
## 2011-01-20 38.039176 38.047245 37.554907 37.910038   75797500    37.910038
## 2011-01-21 37.934270 37.990768 37.482287 37.514572   87318900    37.514572
## 2011-01-24 37.514559 37.813189 37.458061 37.805119   61839300    37.805119
## 2011-01-25 37.611414 37.692128 37.312784 37.579132   63557800    37.579132
## 2011-01-26 37.934251 38.055319 37.788970 37.910038   66604500    37.910038
## 2011-01-27 37.998828 38.055326 37.732479 37.780907   80518400    37.780907
## 2011-01-28 37.619482 37.627552 36.521809 36.586380  185092200    36.586380
## 2011-01-31 36.901161 37.111009 36.780093 36.973801   97695000    36.973801
## 2011-02-01 37.296637 37.918114 37.256283 37.869686  105876000    37.869686
## 2011-02-02 37.740546 38.047249 37.546840 37.587196   68880600    37.587196
## 2011-02-03 37.651775 37.740554 37.336998 37.538776   56934900    37.538776
## 2011-02-04 37.595272 37.659839 37.232070 37.530701   76698100    37.530701
## 2011-02-07 37.449995 37.740552 37.409636 37.579132   60078400    37.579132
## 2011-02-08 37.466127 37.619481 37.288565 37.595268   74244600    37.595268
## 2011-02-09 37.078718 37.159431 36.570239 36.731659  105680200    36.731659
## 2011-02-10 36.198963 36.562164 36.077899 36.384602  114356000    36.384602
## 2011-02-11 36.150548 36.876947 36.142475 36.828522  126541100    36.828522
## 2011-02-14 36.885012 36.901154 36.626736 36.642879   79051200    36.642879
## 2011-02-15 36.667095 36.844661 36.570242 36.715523   57068800    36.715523
## 2011-02-16 36.796230 37.078719 36.739733 37.022221   64667700    37.022221
## 2011-02-17 36.909223 37.191714 36.868868 37.151356   55294900    37.151356
## 2011-02-18 37.272429 37.474207 37.151361 37.377354   50410700    37.377354
## 2011-02-22 36.586375 36.860790 36.069821 36.182819  107176000    36.182819
## 2011-02-23 36.287743 36.465308 35.803478 36.215103   91843500    36.215103
## 2011-02-24 36.198968 36.368464 35.964908 36.303894   71568500    36.303894
## 2011-02-25 36.634806 36.804298 36.465313 36.739731   62718900    36.739731
## 2011-02-28 36.885013 37.078718 36.739732 36.957653   54078600    36.957653
## 2011-03-01 37.199776 37.240131 36.505660 36.578300   69711700    36.578300
## 2011-03-02 36.675160 37.143286 36.675160 37.078716   60123300    37.078716
## 2011-03-03 37.538776 37.877765 37.474209 37.813194   61309300    37.813194
## 2011-03-04 37.861612 38.055320 37.506483 37.853542   66742500    37.853542
## 2011-03-07 37.901976 37.942331 37.175577 37.320858   47781500    37.320858
## 2011-03-08 37.651769 38.039182 37.369278 37.821262   63985100    37.821262
## 2011-03-09 37.845474 37.998827 37.651769 37.893902   47005200    37.893902
## 2011-03-10 37.167498 37.223996 36.731657 36.772015   91093100    36.772015
## 2011-03-11 36.546022 37.272424 36.537952 37.151356   75103800    37.151356
## 2011-03-14 37.006073 37.385417 36.893078 37.369274   59912300    37.369274
## 2011-03-15 35.916475 36.941507 35.916475 36.747799  103041800    36.747799
## 2011-03-16 36.739737 37.272431 35.714704 35.997192  106325500    35.997192
## 2011-03-17 36.529880 36.626736 36.231250 36.441101   68572300    36.441101
## 2011-03-18 36.836580 36.876936 36.489522 36.505665   81209800    36.505665
## 2011-03-21 37.191712 37.328919 37.119072 37.207851   49424900    37.207851
## 2011-03-22 37.304715 37.353140 37.151362 37.320858   38871500    37.320858
## 2011-03-23 37.401569 37.893908 37.280501 37.813194   53485200    37.813194
## 2011-03-24 37.998833 38.297463 37.829337 38.249035   53767500    38.249035
## 2011-03-25 38.257088 38.450793 38.119878 38.208660   44773600    38.208660
## 2011-03-28 38.168323 38.265175 37.990757 38.014969   36577100    38.014969
## 2011-03-29 38.184464 38.458883 38.039184 38.450809   56950300    38.450809
## 2011-03-30 38.797858 39.064206 38.749430 38.943138   70036900    38.943138
## 2011-03-31 39.177209 39.346702 39.120711 39.282131   73140800    39.282131
## 2011-04-01 39.742193 40.000468 39.548485 39.911686   82168900    39.911686
## 2011-04-04 40.097318 40.266810 39.960107 40.250668   45858900    40.250668
## 2011-04-05 40.073097 40.379797 39.984314 40.169949   69539700    40.169949
## 2011-04-06 40.525089 40.597729 40.307169 40.387882   69303000    40.387882
## 2011-04-07 40.412090 40.597725 40.113460 40.347523   48786300    40.347523
## 2011-04-08 40.573517 40.581587 40.194174 40.387882   54649200    40.387882
## 2011-04-11 40.282957 40.339455 39.830972 39.911686   52980300    39.911686
## 2011-04-12 39.596913 39.661481 39.104575 39.161072   72883500    39.161072
## 2011-04-13 39.839038 39.911678 39.282128 39.483906   53492200    39.483906
## 2011-04-14 39.403202 39.677620 39.249852 39.604980   57128000    39.604980
## 2011-04-15 39.596902 39.669543 39.354766 39.653400   54453100    39.653400
## 2011-04-18 38.862438 38.894720 38.386241 38.660660   93596400    38.660660
## 2011-04-19 38.983504 39.233710 38.943149 39.217567   50803200    39.217567
## 2011-04-20 40.081173 40.161883 39.903608 40.145744   49837100    40.145744
## 2011-04-21 40.387871 40.508936 40.186093 40.500866   30217500    40.500866
## 2011-04-25 40.444368 40.476653 40.056954 40.169949   33470800    40.169949
## 2011-04-26 40.291027 40.541234 40.081180 40.517021   39700000    40.517021
## 2011-04-27 40.460512 40.492794 39.847106 40.444370   60926500    40.444370
## 2011-04-28 40.081176 40.169958 39.863255 40.113461   45836600    40.113461
## 2011-04-29 40.145744 40.468586 40.081173 40.355591   38277100    40.355591
## 2011-05-02 40.549306 40.702656 40.226460 40.363667   50952000    40.363667
## 2011-05-03 39.806758 39.830970 39.209497 39.467773   83696700    39.467773
## 2011-05-04 39.306350 39.338635 38.636446 38.814011   82919100    38.814011
## 2011-05-05 38.499247 38.814020 38.152188 38.442749   79810600    38.442749
## 2011-05-06 39.039991 39.435477 38.644507 38.943138   92669900    38.943138
## 2011-05-09 38.935075 39.112638 38.684869 39.015785   48367900    39.015785
## 2011-05-10 39.120710 39.475838 39.088424 39.475838   54996900    39.475838
## 2011-05-11 39.193370 39.209513 38.362043 38.604179   82957400    38.604179
## 2011-05-12 38.289388 38.789799 38.055328 38.717159   71004700    38.717159
## 2011-05-13 38.531521 38.612231 37.627553 37.869686   83193600    37.869686
## 2011-05-16 37.740554 38.273248 37.675987 37.813194   72402600    37.813194
## 2011-05-17 37.595273 37.958471 37.449992 37.934258   60103700    37.934258
## 2011-05-18 38.184463 38.612232 38.031110 38.547661   49432300    38.547661
## 2011-05-19 38.458885 38.507309 38.079541 38.297462   37836800    38.297462
## 2011-05-20 38.208681 38.240967 37.788983 37.990761   60130900    37.990761
## 2011-05-23 37.070645 37.288566 36.941507 37.199783   59786200    37.199783
## 2011-05-24 37.538771 37.684052 37.417706 37.571056   46599000    37.571056
## 2011-05-25 37.345068 37.780909 37.336995 37.651772   43400000    37.651772
## 2011-05-26 37.797051 38.160249 37.732480 38.136036   47128400    38.136036
## 2011-05-27 38.394309 38.636442 38.353953 38.539589   38849400    38.539589
## 2011-05-31 39.201421 39.225633 38.862436 39.169136   58762300    39.169136
## 2011-06-01 39.088422 39.193347 38.410448 38.466946   55372400    38.466946
## 2011-06-02 38.733294 38.902787 38.426591 38.830147   38988300    38.830147
## 2011-06-03 38.378176 38.838230 38.362034 38.636452   42955600    38.636452
## 2011-06-06 38.596091 38.596091 37.966545 38.014969   51477600    38.014969
## 2011-06-07 38.507304 38.628373 38.297457 38.313599   58042500    38.313599
## 2011-06-08 38.176388 38.281314 37.926186 38.039181   63855900    38.039181
## 2011-06-09 38.023041 38.450809 37.910046 38.337814   40819000    38.337814
## 2011-06-10 37.910045 37.910045 37.433849 37.506489   61946000    37.506489
## 2011-06-13 37.684063 37.780918 37.328934 37.441929   37673300    37.441929
## 2011-06-14 37.950388 38.152166 37.910033 38.006886   46392600    38.006886
## 2011-06-15 37.514551 37.708259 37.102925 37.191708   66901900    37.191708
## 2011-06-16 36.957657 37.240144 36.618668 36.909229   66078600    36.909229
## 2011-06-17 37.183644 37.199786 36.876940 36.957653   61268200    36.957653
## 2011-06-20 36.780093 36.957659 36.699383 36.901161   40025300    36.901161
## 2011-06-21 37.232074 37.627557 37.151361 37.579132   48523000    37.579132
## 2011-06-22 37.302777 37.563639 37.164198 37.204956   40580400    37.204956
## 2011-06-23 36.707691 37.172344 36.495744 37.156044   63556800    37.156044
## 2011-06-24 37.400606 37.416911 37.017470 37.090836   44225900    37.090836
## 2011-06-27 37.074538 37.604408 37.017475 37.522888   53450600    37.522888
## 2011-06-28 37.555491 38.044599 37.449516 38.036449   45598200    38.036449
## 2011-06-29 38.134270 38.468496 37.906020 38.386978   55289100    38.386978
## 2011-06-30 38.590773 38.819023 38.476648 38.802719   46188400    38.802719
## 2011-07-01 38.786415 39.365195 38.109812 39.259220   44635400    39.259220
## 2011-07-05 39.357042 39.389650 39.112488 39.242916   51374800    39.242916
## 2011-07-06 39.071729 39.145096 38.810871 38.982059   56118500    38.982059
## 2011-07-07 39.430402 39.642351 39.357036 39.520073   49542300    39.520073
## 2011-07-08 39.071728 39.136941 38.680441 39.071728   50271000    39.071728
## 2011-07-11 38.395120 38.460336 37.922315 37.979378   58197700    37.979378
## 2011-07-12 37.702220 37.987532 37.563640 37.596245   46966300    37.596245
## 2011-07-13 37.938625 38.533708 37.848954 38.207634   59429900    38.207634
## 2011-07-14 38.411432 38.452191 37.718527 37.800045   53279700    37.800045
## 2011-07-15 38.166878 38.183182 37.791895 38.036449   35171100    38.036449
## 2011-07-18 37.685916 37.767436 37.335386 37.596245   46489100    37.596245
## 2011-07-19 37.906018 38.183180 37.791893 38.142422   37413900    38.142422
## 2011-07-20 38.338064 38.395126 38.158725 38.256546   29604100    38.256546
## 2011-07-21 38.452186 38.941297 38.338061 38.867931   45701000    38.867931
## 2011-07-22 38.876088 38.949454 38.655988 38.843483   31952700    38.843483
## 2011-07-25 38.590775 38.916850 38.509259 38.761963   32505900    38.761963
## 2011-07-26 38.998351 39.112476 38.761947 38.892376   29118300    38.892376
## 2011-07-27 38.753808 38.753808 38.109813 38.207634   54477400    38.207634
## 2011-07-28 38.386975 38.533708 38.101662 38.240242   44734300    38.240242
## 2011-07-29 37.946782 38.517411 37.840807 38.403286   48432100    38.403286
## 2011-08-01 38.859782 38.876087 38.011994 38.370674   48466100    38.370674
## 2011-08-02 38.052739 38.117952 37.164189 37.188644   73705600    37.188644
## 2011-08-03 37.172356 37.196814 36.406085 37.058231   73967200    37.058231
## 2011-08-04 36.063697 36.161518 34.881681 34.938744  139352000    34.938744
## 2011-08-05 35.175149 35.264816 33.683363 34.710495  154381700    34.710495
## 2011-08-08 33.202411 33.618156 31.555740 31.816599  175336300    31.816599
## 2011-08-09 32.607323 33.699669 31.637256 33.683365  191406700    33.683365
## 2011-08-10 32.656248 33.047536 31.889974 31.898127  122586600    31.898127
## 2011-08-11 32.648087 34.074658 32.411683 33.658916  121153900    33.658916
## 2011-08-12 33.683371 33.879016 33.283933 33.642612   64752000    33.642612
## 2011-08-15 34.164320 34.506699 34.156170 34.425179   65966400    34.425179
## 2011-08-16 34.058352 34.376272 33.699672 34.131718   61578100    34.131718
## 2011-08-17 34.359970 34.628978 34.042045 34.376270   45131600    34.376270
## 2011-08-18 33.120892 33.169802 32.313859 32.754059  106805200    32.754059
## 2011-08-19 32.297562 33.210570 32.289412 32.346474   72408800    32.346474
## 2011-08-22 32.884495 33.023075 32.207891 32.313866   51908100    32.313866
## 2011-08-23 32.737763 33.479580 32.395388 33.446972   73244900    33.446972
## 2011-08-24 32.925242 33.316530 32.591018 33.120888   48121000    33.120888
## 2011-08-25 33.112736 33.243165 32.297553 32.476894   57125600    32.476894
## 2011-08-26 32.509496 33.047516 31.979626 33.031212   74396200    33.031212
## 2011-08-29 33.650760 34.107263 33.626305 34.099113   46759900    34.099113
## 2011-08-30 33.903472 34.359976 33.724131 34.148026   51881500    34.148026
## 2011-08-31 34.767562 34.995812 34.571917 34.849079   74774800    34.849079
## 2011-09-01 34.946904 35.272978 34.645287 34.661591   76392600    34.661591
## 2011-09-02 34.123564 34.294752 33.707818 33.879009   69255200    33.879009
## 2011-09-06 32.762214 33.552943 32.745910 33.528488   66073000    33.528488
## 2011-09-07 34.099103 34.547453 33.911608 34.522995   49845600    34.522995
## 2011-09-08 33.927925 34.327366 33.667066 33.756737   59110100    33.756737
## 2011-09-09 33.235016 34.099112 32.485046 32.615475   76809100    32.615475
## 2011-09-12 32.012238 32.582867 31.775835 32.550259   69385300    32.550259
## 2011-09-13 32.387229 32.639936 32.118220 32.599178   68090600    32.599178
## 2011-09-14 32.370927 32.786672 31.702477 32.509510   82237200    32.509510
## 2011-09-15 32.925241 32.990457 32.444283 32.982304   62836900    32.982304
## 2011-09-16 33.137199 33.275779 32.729608 33.039375   46199300    33.039375
## 2011-09-19 31.873658 32.224187 31.726925 32.061153   67923900    32.061153
## 2011-09-20 32.183431 32.411680 31.808447 31.824751   53481200    31.824751
## 2011-09-21 31.637259 31.832902 30.618280 30.642735  105520500    30.642735
## 2011-09-22 29.191712 29.428112 28.295008 28.490654  159906700    28.490654
## 2011-09-23 28.849333 29.289532 28.637387 29.248774  102748900    29.248774
## 2011-09-26 28.996061 29.729727 28.604773 29.688965   94311200    29.688965
## 2011-09-27 30.659039 31.172605 30.479697 30.634584  112508800    30.634584
## 2011-09-28 30.487852 30.699798 29.680819 29.713427   80061600    29.713427
## 2011-09-29 30.504151 30.601975 29.664513 30.121017   74702700    30.121017
## 2011-09-30 29.354749 29.640065 28.555870 28.612932  102866200    28.612932
## 2011-10-03 28.588470 29.012365 27.952628 28.009691  107059200    28.009691
## 2011-10-04 27.659167 28.482501 27.243422 28.441742  111600000    28.441742
## 2011-10-05 28.335760 29.142792 28.115663 29.102034   81013800    29.102034
## 2011-10-06 29.167250 30.088408 29.036821 30.063953  140578300    30.063953
## 2011-10-07 30.243293 30.357422 29.509631 29.705273   76503200    29.705273
## 2011-10-10 30.536766 31.082941 30.512312 31.034029   69649800    31.034029
## 2011-10-11 30.634585 31.205211 30.569369 31.050327   72086900    31.050327
## 2011-10-12 31.702481 32.379085 31.686177 31.922581  101798900    31.922581
## 2011-10-13 31.661723 31.800302 31.213373 31.637268   57089300    31.637268
## 2011-10-14 32.118219 32.289406 31.922573 32.273102   72966500    32.273102
## 2011-10-17 31.930725 32.004091 31.148150 31.180758   63743000    31.180758
## 2011-10-18 31.237829 32.167137 30.756871 32.012253   85366100    32.012253
## 2011-10-19 31.808444 31.963328 31.360094 31.400852   52363200    31.400852
## 2011-10-20 31.148144 31.156297 30.267748 30.797615   83654600    30.797615
## 2011-10-21 31.294886 31.710632 31.278583 31.678024   69672700    31.678024
## 2011-10-24 32.069308 33.014920 32.036699 32.917099   87934300    32.917099
## 2011-10-25 32.525809 32.623629 32.142671 32.264950   76772100    32.264950
## 2011-10-26 32.925252 33.023073 32.216043 32.860039   62940200    32.860039
## 2011-10-27 34.311056 35.232214 34.017590 34.857227  156301800    34.857227
## 2011-10-28 34.253995 34.775712 34.188779 34.563766   59840500    34.563766
## 2011-10-31 33.911604 33.976820 33.226850 33.267612   69667800    33.267612
## 2011-11-01 32.028548 32.860035 31.906269 32.460594   91614700    32.460594
## 2011-11-02 33.373589 33.536626 32.949693 33.455109   64629600    33.455109
## 2011-11-03 33.658913 33.936076 33.153497 33.797493   58912200    33.797493
## 2011-11-04 33.512183 33.634458 33.055679 33.577396   50083800    33.577396
## 2011-11-07 33.528492 33.936084 33.398062 33.862717   44450000    33.862717
## 2011-11-08 33.919767 34.302904 33.504021 34.262142   70276800    34.262142
## 2011-11-09 32.933398 33.063826 32.183428 32.256794  111322800    32.256794
## 2011-11-10 32.762202 32.851873 32.240485 32.468739   48436000    32.468739
## 2011-11-11 32.908945 33.340995 32.908945 33.251324   48885300    33.251324
## 2011-11-14 33.014914 33.096431 32.607323 32.794815   47272600    32.794815
## 2011-11-15 32.754064 33.177960 32.493206 32.998619   45852500    32.998619
## 2011-11-16 32.403532 32.745907 32.110065 32.110065   64823000    32.110065
## 2011-11-17 32.281251 32.362772 31.123692 31.294880  102951000    31.294880
## 2011-11-18 31.751383 31.759533 31.237817 31.417158   51240500    31.417158
## 2011-11-21 30.577520 30.699799 30.063957 30.406332   59896200    30.406332
## 2011-11-22 30.528603 30.699791 30.153620 30.512299   46355600    30.512299
## 2011-11-23 29.990594 30.015049 29.525940 29.525940   65700800    29.525940
## 2011-11-25 29.534091 29.941683 29.428116 29.428116   30076300    29.428116
## 2011-11-28 30.748708 30.862834 30.536759 30.838379   79397700    30.838379
## 2011-11-29 30.748709 31.156300 30.667189 30.699797   52655900    30.699797
## 2011-11-30 32.199733 32.664388 32.028546 32.615475   92375400    32.615475
## 2011-12-01 32.631777 32.892634 32.452438 32.517651   46229200    32.517651
## 2011-12-02 32.925247 32.957855 32.403530 32.419834   47176100    32.419834
## 2011-12-05 33.014915 33.088282 32.705145 32.949699   59551400    32.949699
## 2011-12-06 32.493200 32.745904 32.273100 32.501350   43432800    32.501350
## 2011-12-07 32.419832 32.737754 32.207883 32.631779   73276600    32.631779
## 2011-12-08 32.142672 32.248646 31.368248 31.457918   86315100    31.457918
## 2011-12-09 31.555740 32.183432 31.547590 32.093761   51866700    32.093761
## 2011-12-12 31.172608 31.213366 30.699800 30.887291   82239000    30.887291
## 2011-12-13 31.172603 31.343791 30.504150 30.601974   59290300    30.601974
## 2011-12-14 30.487847 30.650880 30.145468 30.161772   66643900    30.161772
## 2011-12-15 30.765018 30.773168 30.259602 30.357426   82103600    30.357426
## 2011-12-16 30.667186 30.846528 30.463391 30.585669   64381200    30.585669
## 2011-12-19 30.349266 30.390025 29.737879 29.794941   56108700    29.794941
## 2011-12-20 30.582555 31.109272 30.557866 31.043434   71387400    31.043434
## 2011-12-21 30.969355 31.150411 30.615466 31.142183   47572400    31.142183
## 2011-12-22 31.183341 31.578379 31.175112 31.553690   58644600    31.553690
## 2011-12-23 31.537242 31.685381 31.405562 31.677153   21521600    31.677153
## 2011-12-27 31.422008 31.520766 31.306789 31.372627   26198500    31.372627
## 2011-12-28 31.216259 31.257409 30.804761 30.845911   39326100    30.845911
## 2011-12-29 31.002278 31.240948 30.969361 31.199799   32240500    31.199799
## 2011-12-30 31.175113 31.389090 31.158653 31.224491   33432400    31.224491
## 2012-01-03 32.080392 32.319061 32.006322 32.179150   72557500    32.179150
## 2012-01-04 31.882881 32.072170 31.767659 31.998100   46225600    31.998100
## 2012-01-05 31.800584 31.956956 31.545458 31.858194   54383000    31.858194
## 2012-01-06 31.825273 31.825273 31.438467 31.454927   50333100    31.454927
## 2012-01-09 31.751207 31.849965 31.578375 31.784124   45814800    31.784124
## 2012-01-10 32.508366 32.656505 32.393147 32.475445   59620000    32.475445
## 2012-01-11 32.286160 32.516598 32.195630 32.500141   47747100    32.500141
## 2012-01-12 32.664726 32.714107 32.409599 32.631809   43328400    32.631809
## 2012-01-13 32.393151 32.409611 32.047491 32.335541   57195200    32.335541
## 2012-01-17 33.035083 33.125613 32.821106 32.952785   70477600    32.952785
## 2012-01-18 33.125612 33.800469 33.043314 33.784008   72674100    33.784008
## 2012-01-19 33.956833 34.137894 33.858074 34.080284   68477400    34.080284
## 2012-01-20 33.997989 34.146129 33.841618 34.055599   43400800    34.055599
## 2012-01-23 34.220207 34.549404 34.162594 34.384804   62223900    34.384804
## 2012-01-24 34.072064 34.434181 33.932153 34.434181   39864800    34.434181
## 2012-01-25 34.170816 34.911511 34.063826 34.820984   64939200    34.820984
## 2012-01-26 35.067886 35.191333 34.549397 34.681076   68097200    34.681076
## 2012-01-27 34.697529 34.985576 34.681068 34.862129   51983800    34.862129
## 2012-01-30 34.162586 34.475326 34.030907 34.360107   43104400    34.360107
## 2012-01-31 34.788059 35.018497 34.425942 34.656380   69525300    34.656380
## 2012-02-01 35.183102 35.594600 35.117261 35.421772   82799300    35.421772
## 2012-02-02 35.594601 35.841499 35.504070 35.520531   71522900    35.520531
## 2012-02-03 35.989644 36.162472 35.783895 36.113094   72000800    36.113094
## 2012-02-06 35.627529 35.808586 35.553459 35.808586   40208500    35.808586
## 2012-02-07 35.643981 35.948489 35.421772 35.882648   47240100    35.882648
## 2012-02-08 36.104862 36.294151 35.973183 36.137783   53168200    36.137783
## 2012-02-09 36.187160 36.211849 35.890882 36.121319   44004500    36.121319
## 2012-02-10 35.339470 35.388850 35.174873 35.323009   62254000    35.323009
## 2012-02-13 35.907341 35.940258 35.627522 35.899109   47447900    35.899109
## 2012-02-14 35.652206 35.759197 35.372388 35.602825   42652500    35.602825
## 2012-02-15 36.030785 36.039017 35.619287 35.701588   51791500    35.701588
## 2012-02-16 35.561673 36.113082 35.454686 36.088390   52445100    36.088390
## 2012-02-17 36.220074 36.294144 36.030786 36.154236   50694200    36.154236
## 2012-02-21 36.252994 36.277686 35.948486 36.006096   46318500    36.006096
## 2012-02-22 36.055480 36.129551 35.932030 36.071941   40179600    36.071941
## 2012-02-23 35.997868 36.088394 35.792119 36.006096   36443800    36.006096
## 2012-02-24 36.178925 36.425823 36.154236 36.368214   37876800    36.368214
## 2012-02-27 35.857957 36.137775 35.701588 36.006096   42999300    36.006096
## 2012-02-28 36.236538 36.516357 36.146008 36.508129   40977700    36.508129
## 2012-02-29 36.738566 36.960776 36.384678 36.483440   72109200    36.483440
## 2012-03-01 36.606885 36.927853 36.557504 36.829094   51045600    36.829094
## 2012-03-02 36.705646 36.829097 36.557507 36.738567   32352400    36.738567
## 2012-03-05 36.401138 36.409369 35.948489 36.104858   50657400    36.104858
## 2012-03-06 35.183108 35.224257 34.746921 34.895061  103961400    34.895061
## 2012-03-07 35.183102 35.347702 35.018501 35.314781   45233800    35.314781
## 2012-03-08 35.857957 36.121315 35.718049 36.055477   40673600    36.055477
## 2012-03-09 36.055481 36.244770 35.956720 36.039021   36487700    36.039021
## 2012-03-12 35.792130 35.841508 35.512311 35.643990   31488700    35.643990
## 2012-03-13 35.997873 36.648037 35.899110 36.615120   61336000    36.615120
## 2012-03-14 36.425827 36.516357 35.948491 36.039021   59777900    36.039021
## 2012-03-15 36.236546 36.359997 36.014336 36.327076   35060300    36.327076
## 2012-03-16 36.269459 36.417598 36.154240 36.285919   36520100    36.285919
## 2012-03-19 35.973168 36.294135 35.923790 36.145996   30002500    36.145996
## 2012-03-20 35.520531 35.611061 35.306554 35.520531   53828200    35.520531
## 2012-03-21 35.537003 35.668682 35.339482 35.586384   49696000    35.586384
## 2012-03-22 35.232470 35.257159 34.878582 35.043182   73056000    35.043182
## 2012-03-23 35.084343 35.347702 34.911511 35.306553   31693200    35.306553
## 2012-03-26 35.536991 35.940258 35.471150 35.923801   67482700    35.923801
## 2012-03-27 35.923797 35.964946 35.701588 35.734505   35627500    35.734505
## 2012-03-28 35.561678 35.635748 34.985580 35.133720   55592200    35.133720
## 2012-03-29 34.746918 35.125496 34.491788 35.092575   53897700    35.092575
## 2012-03-30 35.429996 35.438228 35.084339 35.347698   48514500    35.347698
## 2012-04-02 35.306550 35.989636 35.216020 35.833267   62056300    35.833267
## 2012-04-03 35.890873 36.006092 35.388844 35.627514   58379300    35.627514
## 2012-04-04 35.026732 35.084342 34.763374 34.985580   49766700    34.985580
## 2012-04-05 34.993809 36.088393 34.977349 35.174870   45579600    35.174870
## 2012-04-09 34.639919 34.820979 34.541161 34.656380   42343200    34.656380
## 2012-04-10 34.541167 34.639925 33.882767 33.981529   81350300    33.981529
## 2012-04-11 34.467094 34.565852 34.269573 34.351875   45581000    34.351875
## 2012-04-12 34.524710 35.240716 34.516478 35.232487   64008500    35.232487
## 2012-04-13 35.043193 35.141952 34.598774 34.697533   64221100    34.697533
## 2012-04-16 34.944431 34.985580 34.368332 34.524704   62839600    34.524704
## 2012-04-17 34.705754 35.002034 34.549387 34.919735   51806300    34.919735
## 2012-04-18 34.615233 34.853900 34.557624 34.755142   40456400    34.755142
## 2012-04-19 34.689312 34.960900 34.417722 34.598782   42080500    34.598782
## 2012-04-20 34.820987 35.018505 34.779835 34.837448   43456900    34.837448
## 2012-04-23 34.211961 34.244882 33.800463 34.170811   63093800    34.170811
## 2012-04-24 34.261341 34.467090 34.179040 34.244881   50567200    34.244881
## 2012-04-25 34.524708 34.574086 34.343648 34.557629   45739900    34.557629
## 2012-04-26 34.434181 34.820991 34.393032 34.771610   35715200    34.771610
## 2012-04-27 34.796292 34.895055 34.607003 34.820984   40038100    34.820984
## 2012-04-30 34.820988 34.829217 34.623468 34.746918   39795800    34.746918
## 2012-05-01 34.771599 35.290087 34.681068 34.977348   37657900    34.977348
## 2012-05-02 34.870358 34.969120 34.689301 34.911507   35379800    34.911507
## 2012-05-03 34.927979 34.952670 34.491791 34.648159   45671000    34.648159
## 2012-05-04 34.458862 34.516471 33.981525 34.039135   58478500    34.039135
## 2012-05-07 33.981529 34.211967 33.940380 34.162586   44100000    34.162586
## 2012-05-08 33.849853 33.858081 33.265522 33.619411   66820200    33.619411
## 2012-05-09 33.010392 33.413657 32.812871 33.183220   86829800    33.183220
## 2012-05-10 33.528888 33.528888 33.265526 33.323139   48337700    33.323139
## 2012-05-11 32.928085 33.347815 32.862247 32.895168   56290000    32.895168
## 2012-05-14 32.319076 32.376686 32.138016 32.146248   63048400    32.146248
## 2012-05-15 32.170936 32.286155 31.742978 31.866428   61529000    31.866428
## 2012-05-16 31.693595 31.891116 31.372627 31.413776   82693600    31.413776
## 2012-05-17 31.397317 31.463155 30.952898 30.985819   74320200    30.985819
## 2012-05-18 31.076349 31.158651 30.590781 30.689543   75155600    30.689543
## 2012-05-21 30.862378 31.471397 30.829458 31.422016   62509500    31.422016
## 2012-05-22 31.389094 31.611304 30.895297 31.092815   52847900    31.092815
## 2012-05-23 30.763611 30.903519 30.195742 30.878830   72030300    30.878830
## 2012-05-24 30.969356 30.977584 30.426178 30.722458   57707700    30.722458
## 2012-05-25 30.599014 30.755383 30.492024 30.574326   47685000    30.574326
## 2012-05-29 31.397314 31.570142 31.166873 31.438463   71172100    31.438463
## 2012-05-30 30.837680 30.985820 30.697769 30.895290   80092500    30.895290
## 2012-05-31 30.952898 31.183336 30.631930 31.026968   66528900    31.026968
## 2012-06-01 30.393254 30.549622 30.154584 30.195734   79955400    30.195734
## 2012-06-04 30.245119 30.442640 30.096980 30.327417   57106800    30.327417
## 2012-06-05 30.335651 30.492019 30.162823 30.409721   58858400    30.409721
## 2012-06-06 30.747151 31.339709 30.738919 31.298557   55300800    31.298557
## 2012-06-07 31.965188 32.031026 31.380861 31.487848   49633200    31.487848
## 2012-06-08 31.018749 31.265650 30.903529 31.216269   39729500    31.216269
## 2012-06-11 31.496081 31.529002 30.738923 30.763615   51800800    30.763615
## 2012-06-12 31.199797 31.430235 31.043428 31.405546   54033500    31.405546
## 2012-06-13 31.356171 31.652451 31.216263 31.290333   43926900    31.290333
## 2012-06-14 31.249178 31.619524 31.084578 31.512537   46464200    31.512537
## 2012-06-15 31.660668 32.096855 31.586598 32.088627   63027500    32.088627
## 2012-06-18 31.882885 32.236770 31.800583 32.154472   37552500    32.154472
## 2012-06-19 32.426064 32.878711 32.376682 32.672962   50142100    32.672962
## 2012-06-20 32.672958 32.771717 32.244999 32.565968   58814400    32.565968
## 2012-06-21 32.339438 32.381080 31.331691 31.373333   58815500    31.373333
## 2012-06-22 31.623200 31.639858 31.298391 31.473288   33162400    31.473288
## 2012-06-25 31.006884 31.015214 30.715388 30.890285   44292700    30.890285
## 2012-06-26 31.098493 31.281720 30.865297 31.156792   35913100    31.156792
## 2012-06-27 31.348353 31.464952 31.248412 31.356684   28255200    31.356684
## 2012-06-28 31.073518 31.240085 30.856977 31.206774   34183500    31.206774
## 2012-06-29 32.189525 32.639260 32.139553 32.589291   78076300    32.589291
## 2012-07-02 32.530992 32.639260 32.306123 32.589291   38509900    32.589291
## 2012-07-03 32.897440 33.247234 32.797499 33.238907   36099700    33.238907
## 2012-07-05 32.947420 33.097334 32.705894 32.889122   33512700    32.889122
## 2012-07-06 32.397739 32.472695 32.156212 32.289467   49424200    32.289467
## 2012-07-09 32.147875 32.231162 31.972978 32.172863   34530600    32.172863
## 2012-07-10 32.472695 32.497678 31.698146 31.814745   48650000    31.814745
## 2012-07-11 31.939675 32.131233 31.756452 31.981321   37130100    31.981321
## 2012-07-12 31.373334 31.639848 31.190110 31.448290   45106800    31.448290
## 2012-07-13 31.714804 32.089582 31.689816 32.056271   37182200    32.056271
## 2012-07-16 31.873049 32.056277 31.714810 31.981321   26278800    31.981321
## 2012-07-17 32.181198 32.439382 31.823073 32.406067   40019400    32.406067
## 2012-07-18 31.939669 32.406065 31.923015 32.322781   47417000    32.322781
## 2012-07-19 32.489360 32.680919 32.372763 32.622616   44699700    32.622616
## 2012-07-20 32.222833 32.306119 32.022951 32.139549   43769200    32.139549
## 2012-07-23 31.223424 31.456619 30.940256 31.298380   55593300    31.298380
## 2012-07-24 31.448291 31.456621 30.965241 31.165123   46775500    31.165123
## 2012-07-25 31.389998 31.514926 31.123487 31.315041   34494400    31.315041
## 2012-07-26 31.806415 32.072925 31.673160 32.022957   50710800    32.022957
## 2012-07-27 32.381091 32.980738 32.281147 32.922440   50860600    32.922440
## 2012-07-30 32.697558 32.905770 32.655917 32.730873   41406700    32.730873
## 2012-07-31 32.889119 33.022374 32.580963 32.580963   58788800    32.580963
## 2012-08-01 32.930761 33.688652 32.597621 32.639263   49853100    32.639263
## 2012-08-02 32.272806 32.564301 32.014623 32.256149   50858700    32.256149
## 2012-08-03 32.922427 33.330522 32.880785 33.255566   60512600    33.255566
## 2012-08-06 33.297214 33.613696 33.297214 33.463783   37181300    33.463783
## 2012-08-07 33.513751 33.796919 33.505421 33.555393   43260000    33.555393
## 2012-08-08 33.438797 33.763607 33.405483 33.622021   36569300    33.622021
## 2012-08-09 33.738619 33.963489 33.705308 33.763607   34528300    33.763607
## 2012-08-10 33.630352 33.963490 33.530408 33.921848   32246700    33.921848
## 2012-08-13 33.705307 33.805248 33.430466 33.622021   40396800    33.622021
## 2012-08-14 33.813582 33.863554 33.555402 33.613701   26731300    33.613701
## 2012-08-15 33.522083 33.647012 33.455454 33.563725   18836100    33.563725
## 2012-08-16 33.655338 33.930179 33.488767 33.871876   37695800    33.871876
## 2012-08-17 33.721973 33.746957 33.513761 33.705315   46358100    33.705315
## 2012-08-20 33.488763 33.705305 33.405480 33.688648   28711200    33.688648
## 2012-08-21 33.871879 34.013465 33.538742 33.638683   27937400    33.638683
## 2012-08-22 33.438796 33.730290 33.322194 33.655334   36551000    33.655334
## 2012-08-23 33.572052 33.622021 33.247239 33.347183   39512000    33.347183
## 2012-08-24 33.205595 33.488762 33.064012 33.355507   34421500    33.355507
## 2012-08-27 33.188947 33.222262 32.989066 33.014050   23179600    33.014050
## 2012-08-28 32.972403 33.097331 32.897446 32.947418   24377800    32.947418
## 2012-08-29 32.980731 32.997389 32.680909 32.789177   31372600    32.789177
## 2012-08-30 32.580964 32.580964 32.356095 32.406067   36609900    32.406067
## 2012-08-31 32.647592 32.864130 32.439380 32.714218   41552000    32.714218
## 2012-09-04 32.730876 32.730876 32.422723 32.530994   32627400    32.530994
## 2012-09-05 32.397748 32.456046 32.214520 32.364433   33041200    32.364433
## 2012-09-06 32.555983 33.188945 32.547656 33.080677   47868700    33.080677
## 2012-09-07 33.530410 33.863551 33.488769 33.846893   59898600    33.846893
## 2012-09-10 33.655337 33.763608 33.388826 33.413811   37361500    33.413811
## 2012-09-11 33.605371 33.913527 33.572060 33.813583   32692200    33.813583
## 2012-09-12 34.013462 34.088418 33.830235 33.963490   44014400    33.963490
## 2012-09-13 33.821915 34.987899 33.746958 34.879631   95670600    34.879631
## 2012-09-14 35.237751 35.679159 35.146138 35.287720   85091000    35.287720
## 2012-09-17 35.112806 35.179435 34.821310 34.904594   47652400    34.904594
## 2012-09-18 34.896281 35.029536 34.746368 34.921265   37259800    34.921265
## 2012-09-19 34.929593 34.979564 34.788010 34.921265   39322800    34.921265
## 2012-09-20 34.521497 34.738036 34.321612 34.713051   46217400    34.713051
## 2012-09-21 35.004549 35.021206 34.754695 34.796337   49929300    34.796337
## 2012-09-24 34.654756 34.812995 34.554815 34.763027   29068900    34.763027
## 2012-09-25 34.821324 34.871293 34.238331 34.246658   49642600    34.246658
## 2012-09-26 34.138389 34.196688 33.863548 34.088417   44745200    34.088417
## 2012-09-27 34.504836 34.746363 34.346597 34.629765   40566600    34.629765
## 2012-09-28 34.546487 34.579801 34.313291 34.421562   55360900    34.421562
## 2012-10-01 34.721382 35.062849 34.671413 34.763027   40299700    34.763027
## 2012-10-02 34.954574 34.996215 34.638091 34.812988   36829800    34.812988
## 2012-10-03 34.821326 34.837984 34.521502 34.579800   41571300    34.579800
## 2012-10-04 34.696401 34.962912 34.604787 34.937927   44450900    34.937927
## 2012-10-05 35.112824 35.254410 34.812998 34.937927   53557500    34.937927
## 2012-10-08 34.504836 34.679733 34.454865 34.629765   33006200    34.629765
## 2012-10-09 34.588125 34.613112 34.230000 34.371586   44369700    34.371586
## 2012-10-10 34.421560 34.429887 34.080090 34.163376   51701800    34.163376
## 2012-10-11 34.538149 34.663075 34.463193 34.479851   41911800    34.479851
## 2012-10-12 34.438212 34.621440 34.296630 34.371586   35969600    34.371586
## 2012-10-15 34.463197 34.663079 34.321612 34.571465   35889600    34.571465
## 2012-10-16 34.796337 35.029535 34.788009 34.929592   54306500    34.929592
## 2012-10-17 35.029536 35.279390 34.912935 35.204433   58925200    35.204433
## 2012-10-18 35.029539 35.271062 34.946253 35.104496   48731300    35.104496
## 2012-10-19 34.887950 34.896281 34.463200 34.563141   49582400    34.563141
## 2012-10-22 34.862967 35.021207 34.671413 34.896282   42518400    34.896282
## 2012-10-23 34.346605 34.346605 33.996808 34.180035   58436700    34.180035
## 2012-10-24 34.488175 34.546474 34.213337 34.213337   35063000    34.213337
## 2012-10-25 34.704725 34.763027 34.230002 34.588127   41000200    34.588127
## 2012-10-26 34.371589 34.463203 34.196692 34.321617   36208200    34.321617
## 2012-10-31 34.421557 34.496510 34.163373 34.271645   58457500    34.271645
## 2012-11-01 34.596455 34.887949 34.538155 34.829651   63484700    34.829651
## 2012-11-02 35.021205 35.021205 34.546483 34.646423   53942400    34.646423
## 2012-11-05 34.604776 34.846303 34.538150 34.812988   33477200    34.812988
## 2012-11-06 34.904610 35.196105 34.887952 35.087837   48097800    35.087837
## 2012-11-07 34.804666 34.821323 34.296629 34.513168   65258900    34.513168
## 2012-11-08 34.488183 34.704721 34.038444 34.080086   73473600    34.080086
## 2012-11-09 34.121736 34.421562 34.071765 34.146721   60594400    34.146721
## 2012-11-12 34.288299 34.404900 34.205016 34.271645   43640500    34.271645
## 2012-11-13 33.863549 34.130060 33.746951 33.963490   56929600    33.963490
## 2012-11-14 34.013460 34.046774 33.363840 33.438797   65058700    33.438797
## 2012-11-15 33.505421 33.655334 33.363838 33.555393   56282800    33.555393
## 2012-11-16 33.522079 33.680319 33.247237 33.655334   55419900    33.655334
## 2012-11-19 33.955162 34.263315 33.955162 34.246658   60801400    34.246658
## 2012-11-20 33.971823 34.180035 33.880209 34.180035   49350300    34.180035
## 2012-11-21 34.046774 34.180029 33.963488 34.113400   49863200    34.113400
## 2012-11-23 34.521505 34.713059 34.496517 34.671417   38725400    34.671417
## 2012-11-26 34.529831 34.679744 34.463205 34.671417   38361700    34.671417
## 2012-11-27 34.638096 34.688069 34.371585 34.379913   39719300    34.379913
## 2012-11-28 34.171699 34.604780 34.063432 34.571465   45433200    34.571465
## 2012-11-29 34.763033 34.937930 34.629777 34.821331   60142000    34.821331
## 2012-11-30 34.896282 34.912936 34.713054 34.804668   60627600    34.804668
## 2012-12-03 35.021202 35.021202 34.788006 34.788006   47979700    34.788006
## 2012-12-04 34.929597 35.079510 34.862971 34.887955   48560100    34.887955
## 2012-12-05 35.246073 35.462615 35.146132 35.262730   60792500    35.262730
## 2012-12-06 35.312698 35.554221 35.287710 35.529236   45175200    35.529236
## 2012-12-07 35.595870 35.662497 35.462615 35.637512   33920200    35.637512
## 2012-12-10 35.629187 35.904028 35.604203 35.837399   52020900    35.837399
## 2012-12-11 35.870710 36.078921 35.837395 36.020622   55722500    36.020622
## 2012-12-12 36.137214 36.353756 35.987301 36.128887   57451400    36.128887
## 2012-12-13 36.103912 36.203856 35.862389 35.970657   55617900    35.970657
## 2012-12-14 36.037273 36.195513 35.995632 36.128887   39422900    36.128887
## 2012-12-17 36.045609 36.237163 36.003967 36.220509   55647600    36.220509
## 2012-12-18 36.188661 36.507062 36.029462 36.473545   61649000    36.473545
## 2012-12-19 36.515447 36.641129 36.431656 36.456791   50249100    36.456791
## 2012-12-20 36.465170 36.683022 36.356243 36.674644   57106100    36.674644
## 2012-12-21 36.054599 36.280831 36.004327 36.255695   66038300    36.255695
## 2012-12-24 36.205426 36.238943 36.104879 36.180290   18908100    36.180290
## 2012-12-26 36.440033 36.515443 36.272453 36.289211   25381900    36.289211
## 2012-12-27 36.493729 36.585928 36.208753 36.493729   41600600    36.493729
## 2012-12-28 36.476956 36.753549 36.451813 36.627827   42093300    36.627827
## 2012-12-31 36.669736 37.231306 36.602682 37.172634   49353800    37.172634
## 2013-01-02 37.642016 37.994047 37.533053 37.901848  101185100    37.901848
## 2013-01-03 37.633629 37.952129 37.583337 37.633629   66217800    37.633629
## 2013-01-04 37.457612 37.725824 37.382176 37.709064   51087000    37.709064
## 2013-01-07 37.415711 37.457619 37.306748 37.424095   50598800    37.424095
## 2013-01-08 37.214547 37.256455 36.954715 37.088821   48456800    37.088821
## 2013-01-09 37.206166 37.340272 37.181022 37.248074   38511200    37.248074
## 2013-01-10 37.474373 37.650387 37.323503 37.574955   44170700    37.574955
## 2013-01-11 37.281597 37.306740 36.837370 37.273216   54701600    37.273216
## 2013-01-14 37.424092 37.482763 37.248075 37.432472   63801400    37.432472
## 2013-01-15 37.181018 37.289980 36.963092 37.273216   55408900    37.273216
## 2013-01-16 36.988240 37.256453 36.971477 37.239689   32090000    37.239689
## 2013-01-17 37.407319 37.591712 37.373791 37.449226   39873100    37.449226
## 2013-01-18 37.457616 37.549814 37.331893 37.533051   51709600    37.533051
## 2013-01-22 37.407325 37.474377 37.323507 37.474377   46493900    37.474377
## 2013-01-23 37.298360 37.331888 37.155874 37.273216   32607900    37.273216
## 2013-01-24 37.231303 37.365412 37.046909 37.139107   38920500    37.139107
## 2013-01-25 37.063669 37.130720 36.812217 37.013378   52779500    37.013378
## 2013-01-28 36.912813 36.912813 36.636217 36.753559   56862100    36.753559
## 2013-01-29 36.963100 37.256460 36.770322 37.164261   46274900    37.164261
## 2013-01-30 37.005011 37.113970 36.971484 36.988247   47812800    36.988247
## 2013-01-31 37.030156 37.105590 36.921193 37.063683   51081600    37.063683
## 2013-02-01 37.273227 37.415713 37.139120 37.306751   50348500    37.306751
## 2013-02-04 37.021778 37.055306 36.703278 36.812237   48193600    36.812237
## 2013-02-05 36.963085 37.038521 36.820599 36.854126   41440100    36.854126
## 2013-02-06 36.678130 36.812237 36.560788 36.812237   52411700    36.812237
## 2013-02-07 36.753552 36.761936 36.309326 36.485340   47884300    36.485340
## 2013-02-08 36.594309 36.812231 36.585929 36.753559   36378000    36.753559
## 2013-02-11 36.686498 36.778697 36.569156 36.736790   25661600    36.736790
## 2013-02-12 36.736785 36.988234 36.611059 36.837364   40661300    36.837364
## 2013-02-13 37.046921 37.113973 36.937959 37.021774   32068400    37.021774
## 2013-02-14 36.879282 37.055296 36.828992 37.005009   28975200    37.005009
## 2013-02-15 37.038530 37.055293 36.845752 36.870899   42285100    36.870899
## 2013-02-19 36.904424 37.063677 36.904424 36.946335   55626600    36.946335
## 2013-02-20 37.113960 37.113960 36.585918 36.619442   47496700    36.619442
## 2013-02-21 36.326080 36.342844 35.940525 36.116539   78468500    36.116539
## 2013-02-22 36.359621 36.359621 36.124932 36.275803   73001800    36.275803
## 2013-02-25 36.569152 36.602676 35.697459 35.789658   81527900    35.789658
## 2013-02-26 35.990822 36.099784 35.756137 35.990822   69633700    35.990822
## 2013-02-27 35.999207 36.426669 35.974059 36.384762   45986600    36.384762
## 2013-02-28 36.367999 36.443435 36.183602 36.217129   43961100    36.217129
## 2013-03-01 36.099788 36.334473 35.957302 36.300949   52273200    36.300949
## 2013-03-04 35.898619 36.007578 35.764510 35.957291   43730400    35.957291
## 2013-03-05 36.326095 36.577544 36.300951 36.393147   49300100    36.393147
## 2013-03-06 36.569160 36.636212 36.451818 36.569160   42439500    36.569160
## 2013-03-07 36.577536 36.711642 36.527249 36.669735   44079200    36.669735
## 2013-03-08 36.904429 37.072063 36.736798 36.988247   61841100    36.988247
## 2013-03-11 36.820606 36.828987 36.678117 36.787079   44046200    36.787079
## 2013-03-12 36.602677 36.652969 36.284177 36.367992   50934700    36.367992
## 2013-03-13 36.300944 36.309325 35.999205 36.024349   80500000    36.024349
## 2013-03-14 36.150084 36.275807 36.124936 36.175228   40119600    36.175228
## 2013-03-15 35.974054 36.015965 35.814804 35.848331   61240400    35.848331
## 2013-03-18 35.437643 35.638803 35.404119 35.446026   69344000    35.446026
## 2013-03-19 35.471162 35.487925 34.968263 35.194569   81729400    35.194569
## 2013-03-20 35.462779 35.546595 35.370581 35.395725   53647100    35.395725
## 2013-03-21 35.219710 35.278382 34.993406 35.035313   50647800    35.035313
## 2013-03-22 35.119131 35.211325 35.035312 35.169418   41763400    35.169418
## 2013-03-25 35.404107 35.454395 34.993405 35.135891   46751300    35.135891
## 2013-03-26 35.446021 35.655562 35.437637 35.638798   55547100    35.638798
## 2013-03-27 35.412500 35.781292 35.311921 35.772911   42991800    35.772911
## 2013-03-28 35.672317 35.856712 35.596882 35.848331   43219200    35.848331
## 2013-04-01 35.806432 35.823196 35.395730 35.462784   48386600    35.462784
## 2013-04-02 35.655560 35.655560 35.429254 35.479546   39392900    35.479546
## 2013-04-03 35.429254 35.487926 34.985028 35.060463   66774600    35.060463
## 2013-04-04 35.026936 35.102371 34.758723 34.959881   72963600    34.959881
## 2013-04-05 34.356398 35.001782 34.297723 34.876060   93360600    34.876060
## 2013-04-08 34.741961 34.985030 34.649762 34.934738   46406900    34.934738
## 2013-04-09 34.985029 35.504691 34.892830 35.278385   77324700    35.278385
## 2013-04-10 35.529828 35.865096 35.496300 35.613647   49605200    35.613647
## 2013-04-11 35.672326 35.739377 35.529836 35.647179   46004700    35.647179
## 2013-04-12 35.261622 35.295149 34.825775 35.102371  109321200    35.102371
## 2013-04-15 34.792253 34.800636 34.213921 34.247448   69582100    34.247448
## 2013-04-16 34.943117 35.035315 34.674904 34.951500   51188300    34.951500
## 2013-04-17 34.658133 34.658133 34.163615 34.398304   87858500    34.398304
## 2013-04-18 34.607845 34.632989 34.255814 34.398304   47811900    34.398304
## 2013-04-19 34.876068 34.976647 34.758725 34.901211   50232400    34.901211
## 2013-04-22 35.018553 35.068844 34.767104 35.068844   33583200    35.068844
## 2013-04-23 35.001788 35.311912 34.943117 35.236477   64692700    35.236477
## 2013-04-24 35.303536 35.580133 35.295156 35.446026   51542700    35.446026
## 2013-04-25 35.638800 35.898633 35.571746 35.764523   41501800    35.764523
## 2013-04-26 35.580124 35.630411 35.286763 35.404110   51739700    35.404110
## 2013-04-29 35.722620 35.898638 35.571750 35.772911   43874800    35.772911
## 2013-04-30 35.898625 36.384759 35.747755 36.284180   80948900    36.284180
## 2013-05-01 36.225503 36.242267 35.772893 35.890236   64532800    35.890236
## 2013-05-02 36.041122 36.191991 35.948922 36.175228   46989800    36.175228
## 2013-05-03 36.384765 36.686504 36.342857 36.476963   57682900    36.476963
## 2013-05-06 36.476953 36.552389 36.367991 36.527245   31402200    36.527245
## 2013-05-07 36.669737 36.854134 36.569158 36.787079   38932900    36.787079
## 2013-05-08 36.937950 37.105583 36.912805 37.072056   47973100    37.072056
## 2013-05-09 37.005009 37.038534 36.619451 36.803848   40290500    36.803848
## 2013-05-10 36.560771 36.611062 36.351230 36.518864   44867100    36.518864
## 2013-05-13 36.300944 36.326088 36.150074 36.183598   51315300    36.183598
## 2013-05-14 36.326087 36.510484 36.275796 36.351231   39457200    36.351231
## 2013-05-15 36.267413 36.418284 36.175215 36.359612   54677500    36.359612
## 2013-05-16 36.359620 36.493726 36.225513 36.233894   34833500    36.233894
## 2013-05-17 36.317715 36.443439 36.250661 36.393147   37786100    36.393147
## 2013-05-20 36.384761 36.527251 36.284182 36.485340   33022100    36.485340
## 2013-05-21 36.418295 36.585929 36.175226 36.409912   39757800    36.409912
## 2013-05-22 36.510488 36.845752 35.873481 36.007587   95248900    36.007587
## 2013-05-23 35.437632 35.772899 35.253238 35.739372   84326400    35.739372
## 2013-05-24 35.429256 35.454400 35.228095 35.429256   70236100    35.429256
## 2013-05-28 35.856710 35.932145 35.588498 35.622025   51418200    35.622025
## 2013-05-29 35.387343 35.446014 35.144274 35.169418   71460900    35.169418
## 2013-05-30 35.119131 35.404107 35.093983 35.169418   57619400    35.169418
## 2013-05-31 34.884441 34.934732 34.482121 34.532413  109498200    34.532413
## 2013-06-03 34.700054 35.161044 34.456985 35.043701  103868200    35.043701
## 2013-06-04 35.026937 35.060464 34.515655 34.616234   61790500    34.616234
## 2013-06-05 34.540808 34.599480 33.970855 33.996002   88096500    33.996002
## 2013-06-06 33.945700 34.314492 33.853501 34.280968   79388500    34.280968
## 2013-06-07 34.088190 34.339642 33.887032 34.104954   83416900    34.104954
## 2013-06-10 33.803202 33.803202 33.518226 33.643948   94653100    33.643948
## 2013-06-11 32.956663 33.250019 32.847701 33.006954   91969100    33.006954
## 2013-06-12 33.275169 33.291932 32.705215 32.780651  110462700    32.780651
## 2013-06-13 32.763886 33.484709 32.713595 33.476326  109955800    33.476326
## 2013-06-14 33.367367 33.442802 32.856086 32.948284  101834900    32.948284
## 2013-06-17 33.317078 33.467948 33.048865 33.250023   59802800    33.250023
## 2013-06-18 33.166204 33.417653 33.082389 33.392509   57237000    33.392509
## 2013-06-19 33.141062 33.291932 32.302896 32.361568  106460000    32.361568
## 2013-06-20 31.590451 31.590451 30.534364 30.911539  151378100    30.911539
## 2013-06-21 31.347394 31.548551 30.827729 31.355774  122377400    31.355774
## 2013-06-24 30.584655 31.045645 30.308058 30.718761  105810400    30.718761
## 2013-06-25 31.246808 31.406061 30.911544 31.372534   81147700    31.372534
## 2013-06-26 31.615601 31.992773 31.607218 31.867050   79737000    31.867050
## 2013-06-27 32.251722 32.557425 32.243231 32.506474   95787800    32.506474
## 2013-06-28 32.260228 32.778222 32.209275 32.693306   92251600    32.693306
## 2013-07-01 32.846163 33.016000 32.667837 32.795212   64188900    32.795212
## 2013-07-02 32.710284 32.931069 32.005467 32.209270   91594600    32.209270
## 2013-07-03 31.759204 32.192283 31.725236 31.912056   51565400    31.912056
## 2013-07-05 31.963006 32.005465 31.402550 31.708254   94284700    31.708254
## 2013-07-08 31.708259 31.996979 31.657308 31.750717   63868900    31.750717
## 2013-07-09 32.098877 32.209271 31.861109 32.166813   68925700    32.166813
## 2013-07-10 32.013954 32.226248 31.827134 31.861101   72780900    31.861101
## 2013-07-11 33.041465 33.449069 32.871628 33.423595   99047500    33.423595
## 2013-07-12 33.049952 33.126378 32.905593 33.066936   48446100    33.066936
## 2013-07-15 33.245270 33.584938 33.228286 33.406612   78940600    33.406612
## 2013-07-16 33.491526 33.576445 33.245267 33.542477   59925000    33.542477
## 2013-07-17 33.822705 33.882147 33.703817 33.848179   64775200    33.848179
## 2013-07-18 33.635883 33.737783 33.398114 33.449062   63396800    33.449062
## 2013-07-19 33.398113 33.406603 33.228277 33.355652   56381200    33.355652
## 2013-07-22 33.440570 33.746275 33.313193 33.686829   60947300    33.686829
## 2013-07-23 34.009529 34.170875 33.907629 34.051987   69873900    34.051987
## 2013-07-24 34.051989 34.060483 33.500026 33.703827   73854100    33.703827
## 2013-07-25 33.593427 33.933096 33.576443 33.899128   45387700    33.899128
## 2013-07-26 33.712318 33.865170 33.457566 33.822712   37847700    33.822712
## 2013-07-29 33.550973 33.593435 33.381141 33.398125   50232900    33.398125
## 2013-07-30 33.550967 33.576445 33.253757 33.321693   38655400    33.321693
## 2013-07-31 33.058441 33.525488 32.914079 33.126373   81129000    33.126373
## 2013-08-01 33.483039 33.848186 33.415103 33.729301   81917200    33.729301
## 2013-08-02 33.635890 33.916117 33.610416 33.720806   46528200    33.720806
## 2013-08-05 33.610415 33.618905 33.372643 33.508511   41164800    33.508511
## 2013-08-06 33.372640 33.372640 33.007494 33.083920   51415100    33.083920
## 2013-08-07 32.769726 32.914084 32.701790 32.727268   54242300    32.727268
## 2013-08-08 33.092409 33.500014 32.880115 33.355652   75526500    33.355652
## 2013-08-09 33.364153 33.618905 33.355659 33.423595   56199400    33.423595
## 2013-08-12 33.559462 33.865166 33.559462 33.737789   61381800    33.737789
## 2013-08-13 33.950073 34.043482 33.771746 33.941582   61264100    33.941582
## 2013-08-14 34.077465 34.136907 34.001039 34.051987   48288100    34.051987
## 2013-08-15 33.618911 33.729305 33.304716 33.661369   59751700    33.661369
## 2013-08-16 33.686829 33.746275 33.330177 33.372635   72806300    33.372635
## 2013-08-19 33.109398 33.143362 32.727267 32.744251   53829000    32.744251
## 2013-08-20 32.582907 32.888612 32.565923 32.684811   53697600    32.684811
## 2013-08-21 32.294184 32.336645 31.852611 31.920547  108745800    31.920547
## 2013-08-22 32.277199 32.506477 32.251725 32.438545   57470900    32.438545
## 2013-08-23 32.693297 32.880117 32.497986 32.820675   57345100    32.820675
## 2013-08-26 32.863138 32.888612 32.404582 32.464024   42254600    32.464024
## 2013-08-27 31.929041 31.988484 31.648815 31.716747   89367100    31.716747
## 2013-08-28 31.665797 32.090385 31.563893 31.784681   69409900    31.784681
## 2013-08-29 32.158320 32.404582 31.963009 32.039436   63988700    32.039436
## 2013-08-30 32.413073 32.430057 32.047930 32.285698  104219900    32.285698
## 2013-09-03 32.752749 32.871632 32.413076 32.489502   62694800    32.489502
## 2013-09-04 32.676316 33.075429 32.608383 33.066936   60083400    33.066936
## 2013-09-05 33.092418 33.542481 33.049957 33.457565   59046600    33.457565
## 2013-09-06 33.924603 34.085944 33.550962 33.950077   75420400    33.950077
## 2013-09-09 34.289754 34.909653 34.264276 34.841717  116120500    34.841717
## 2013-09-10 35.045523 35.181391 34.943623 35.104965   80651200    35.104965
## 2013-09-11 34.969089 35.240826 34.901153 35.130432   73495900    35.130432
## 2013-09-12 35.003062 35.037027 34.714342 34.722832   58460500    34.722832
## 2013-09-13 34.782270 34.994564 34.705844 34.952106   44927100    34.952106
## 2013-09-16 35.555025 35.580503 35.257814 35.342731   68924400    35.342731
## 2013-09-17 35.351219 35.410662 35.198368 35.266300   46999400    35.266300
## 2013-09-18 35.164408 36.786336 35.011556 36.743877  113370100    36.743877
## 2013-09-19 36.624991 36.658955 36.327777 36.548565  100087700    36.548565
## 2013-09-20 36.378729 36.378729 35.673910 35.733356   77275200    35.733356
## 2013-09-23 35.784298 35.988102 35.724857 35.860725   61143000    35.860725
## 2013-09-24 35.724855 35.809771 35.487087 35.555019   43438700    35.555019
## 2013-09-25 35.555032 35.580509 35.240837 35.283295   56353100    35.283295
## 2013-09-26 35.487089 35.614464 35.232337 35.427647   54419200    35.427647
## 2013-09-27 35.147418 35.215354 34.909651 35.011551   69028500    35.011551
## 2013-09-30 34.468080 34.748306 34.383164 34.612438   93884500    34.612438
## 2013-10-01 34.850211 35.317258 34.824733 35.300274   62524700    35.300274
## 2013-10-02 35.130442 35.453130 35.011558 35.436146   46985900    35.436146
## 2013-10-03 35.605978 35.682403 35.045521 35.300274   51161500    35.300274
## 2013-10-04 35.385187 35.792795 35.325744 35.758827   36780900    35.758827
## 2013-10-07 35.291774 35.605969 35.257806 35.453117   51699900    35.453117
## 2013-10-08 35.580504 35.631452 35.079488 35.113453   66218200    35.113453
## 2013-10-09 35.359714 35.529550 35.079487 35.376698   67258400    35.376698
## 2013-10-10 35.818269 36.276825 35.792795 36.208889   99094900    36.208889
## 2013-10-11 36.056037 36.412693 35.996595 36.370235   42764200    36.370235
## 2013-10-14 36.064536 36.667451 36.005095 36.582535   43319800    36.582535
## 2013-10-15 36.421190 36.540075 36.132470 36.225880   54388300    36.225880
## 2013-10-16 36.404205 36.658957 36.344763 36.514599   64749400    36.514599
## 2013-10-17 36.480631 36.777845 36.421189 36.743877   58641300    36.743877
## 2013-10-18 36.905211 36.947669 36.735375 36.777836   55660500    36.777836
## 2013-10-21 36.803315 36.862757 36.641973 36.718399   44243400    36.718399
## 2013-10-22 36.981637 37.287341 36.930689 37.075047   74992500    37.075047
## 2013-10-23 36.455151 36.497610 36.191905 36.208889   69411000    36.208889
## 2013-10-24 36.412692 36.412692 36.081514 36.132462   57466500    36.132462
## 2013-10-25 36.157941 36.370235 36.064530 36.302299   45414700    36.302299
## 2013-10-28 36.353256 36.574041 36.319288 36.514599   44569400    36.514599
## 2013-10-29 36.641978 36.701420 36.591026 36.633484   32543300    36.633484
## 2013-10-30 36.777842 36.777842 36.268334 36.429680   55442300    36.429680
## 2013-10-31 36.514590 36.523080 36.039050 36.056034   68089000    36.056034
## 2013-11-01 36.191901 36.268327 35.843739 36.073017   83621600    36.073017
## 2013-11-04 36.140959 36.310792 36.132466 36.293812   35360700    36.293812
## 2013-11-05 35.826758 35.877709 35.538037 35.563515   73296100    35.563515
## 2013-11-06 35.826765 35.869226 35.648438 35.673912   61350100    35.673912
## 2013-11-07 35.741850 35.758835 34.952116 35.028542   94546100    35.028542
## 2013-11-08 34.824728 34.969090 34.603944 34.952106   79167700    34.952106
## 2013-11-11 34.918139 34.977582 34.688861 34.773781   58492300    34.773781
## 2013-11-12 34.782274 34.824732 34.340702 34.586964   81455800    34.586964
## 2013-11-13 34.255792 34.722838 34.238808 34.646412   69898800    34.646412
## 2013-11-14 34.671884 35.215356 34.578474 35.206863   87793800    35.206863
## 2013-11-15 35.605975 36.030564 35.563518 35.877712   94070900    35.877712
## 2013-11-18 36.344748 36.591010 36.191897 36.200390   80437300    36.200390
## 2013-11-19 36.302302 36.353253 35.937156 35.979614   59573100    35.979614
## 2013-11-20 36.013580 36.064531 35.427649 35.487091   62635400    35.487091
## 2013-11-21 35.376691 35.512559 35.266297 35.453117   51401400    35.453117
## 2013-11-22 35.478604 35.750340 35.410672 35.707882   49745300    35.707882
## 2013-11-25 35.690890 35.699383 35.215352 35.249317   59685800    35.249317
## 2013-11-26 35.240832 35.478600 35.138931 35.368210   37990900    35.368210
## 2013-11-27 35.512565 35.673907 35.368207 35.597481   45419400    35.597481
## 2013-11-29 35.869221 36.056037 35.801285 35.962627   41826600    35.962627
## 2013-12-02 35.826762 35.886203 35.138931 35.206863   67975400    35.206863
## 2013-12-03 35.079487 35.342730 34.841716 35.087978  108126900    35.087978
## 2013-12-04 34.867195 35.138931 34.680375 35.045521   62378500    35.045521
## 2013-12-05 34.943621 35.164405 34.824733 34.841717   56729300    34.841717
## 2013-12-06 35.436138 35.741841 35.334237 35.614464   75512400    35.614464
## 2013-12-09 35.716372 35.869225 35.631453 35.665421   56365100    35.665421
## 2013-12-10 35.487097 35.716375 35.478604 35.682407   44343900    35.682407
## 2013-12-11 35.419155 35.419155 34.850208 34.892666   74628400    34.892666
## 2013-12-12 34.748311 34.816247 34.536017 34.688869   62076500    34.688869
## 2013-12-13 34.799255 34.858697 34.629419 34.773781   62277400    34.773781
## 2013-12-16 34.986083 35.249326 34.952116 35.003067   59551600    35.003067
## 2013-12-17 34.960603 34.960603 34.671887 34.697361   53390900    34.697361
## 2013-12-18 34.933847 35.713583 34.394030 35.387978  107981900    35.387978
## 2013-12-19 34.771049 34.873870 34.462581 34.736774   70838100    34.736774
## 2013-12-20 34.736776 34.916714 34.651089 34.685364   86690800    34.685364
## 2013-12-23 34.968124 35.105221 34.873871 34.942417   56621800    34.942417
## 2013-12-24 35.105222 35.199477 35.079515 35.148064   18409100    35.148064
## 2013-12-26 35.002393 35.053806 34.831026 34.848160   24739900    34.848160
## 2013-12-27 35.208040 35.396548 35.156628 35.387978   35691100    35.387978
## 2013-12-30 35.439389 35.593622 35.396546 35.542210   39861800    35.542210
## 2013-12-31 35.627894 35.859241 35.559344 35.816399   38839400    35.816399
## 2014-01-02 35.130918 35.139484 34.402596 34.436867  138488400    34.436867
## 2014-01-03 34.608246 34.616817 34.222663 34.376896   83579700    34.376896
## 2014-01-06 34.239797 34.239797 34.042722 34.051292   55735100    34.051292
## 2014-01-07 34.231228 34.351186 34.094132 34.196953   57341500    34.196953
## 2014-01-08 34.248368 34.282639 33.982743 34.085564   63182600    34.085564
## 2014-01-09 33.974174 34.034153 33.639998 33.905624   74405200    33.905624
## 2014-01-10 34.102703 34.633950 34.094136 34.505424  110244200    34.505424
## 2014-01-13 34.573969 34.616815 33.999880 34.094135   62209500    34.094135
## 2014-01-14 34.282637 34.565399 34.128407 34.462578   75830700    34.462578
## 2014-01-15 34.436869 34.539693 34.376889 34.454006   47361900    34.454006
## 2014-01-16 34.411170 34.496854 34.188390 34.265507   56673900    34.265507
## 2014-01-17 34.248368 34.256936 34.051293 34.094135   61288200    34.094135
## 2014-01-21 34.274075 34.316917 33.897061 34.042725   46683100    34.042725
## 2014-01-22 34.325481 34.505419 34.171248 34.496849   56188400    34.496849
## 2014-01-23 34.076993 34.076993 33.408650 33.648567  109930400    33.648567
## 2014-01-24 33.203003 33.228707 32.731735 32.766010  127153900    32.766010
## 2014-01-27 32.808857 32.877404 32.363293 32.637486  118532300    32.637486
## 2014-01-28 32.851695 32.988791 32.731736 32.843128   86568700    32.843128
## 2014-01-29 32.414706 32.731740 32.209060 32.371861  142219100    32.371861
## 2014-01-30 32.834554 32.911671 32.551795 32.671753   84660600    32.671753
## 2014-01-31 32.286181 32.791724 32.200498 32.723175  102329500    32.723175
## 2014-02-03 32.440410 32.491818 31.746358 31.797771  123117200    31.797771
## 2014-02-04 32.320452 32.637486 32.234765 32.440411  138955500    32.440411
## 2014-02-05 32.303317 32.526097 32.089104 32.320454   86064900    32.320454
## 2014-02-06 32.551797 33.048769 32.551797 32.997356   99403100    32.997356
## 2014-02-07 33.254416 33.348667 33.005928 33.185867   80356700    33.185867
## 2014-02-10 33.040200 33.065905 32.671754 32.817417   68839500    32.817417
## 2014-02-11 32.997359 33.605727 32.988793 33.528610   93164800    33.528610
## 2014-02-12 33.751395 33.914199 33.434361 33.537182   68705700    33.537182
## 2014-02-13 33.048773 33.597158 33.048773 33.571453   50414900    33.571453
## 2014-02-14 33.802804 34.162680 33.742824 33.982742   69806400    33.982742
## 2014-02-18 33.965603 34.034153 33.648569 33.665707   69542600    33.665707
## 2014-02-19 33.537178 33.811371 33.357240 33.434357  101924800    33.434357
## 2014-02-20 33.400084 33.631434 33.194441 33.554317   71686300    33.554317
## 2014-02-21 33.734252 33.922760 33.657135 33.785664   66907700    33.785664
## 2014-02-24 33.751389 34.085561 33.708547 33.785664   58971200    33.785664
## 2014-02-25 33.717118 33.794236 33.305830 33.400085   77028600    33.400085
## 2014-02-26 33.588589 33.657136 33.288689 33.425785   59122600    33.425785
## 2014-02-27 33.725678 34.119829 33.657128 34.059849   67962200    34.059849
## 2014-02-28 34.085554 34.136966 33.605718 33.828499   88240700    33.828499
## 2014-03-03 33.177301 33.365806 32.980226 33.228710   98832200    33.228710
## 2014-03-04 33.871356 33.922768 33.648575 33.794239   63103000    33.794239
## 2014-03-05 33.691402 33.871340 33.631423 33.819931   42856900    33.819931
## 2014-03-06 34.128402 34.462574 34.119832 34.299770   86027600    34.299770
## 2014-03-07 34.145544 34.162682 33.657140 33.862785   66565600    33.862785
## 2014-03-10 33.640002 33.648572 33.348672 33.631435   57747100    33.631435
## 2014-03-11 33.682847 33.785668 33.168734 33.254421   72692600    33.254421
## 2014-03-12 33.057346 33.357243 32.954522 33.322968   56882800    33.322968
## 2014-03-13 33.400089 33.417226 32.586079 32.723175   79967400    32.723175
## 2014-03-14 32.774585 33.091619 32.774585 32.903114   64589800    32.903114
## 2014-03-17 33.194440 33.382945 33.194440 33.305828   57492000    33.305828
## 2014-03-18 33.382948 33.785669 33.357243 33.768532   68135000    33.768532
## 2014-03-19 33.528613 33.682846 32.903112 33.048775   95953000    33.048775
## 2014-03-20 32.826000 33.262993 32.706038 33.194447   60572300    33.194447
## 2014-03-21 33.417222 33.802806 33.357242 33.400085   86969000    33.400085
## 2014-03-24 33.699984 33.802806 33.494338 33.725689   54328100    33.725689
## 2014-03-25 34.068430 34.239801 33.965608 34.111275   93531000    34.111275
## 2014-03-26 34.411165 34.522556 34.171247 34.188385   91289900    34.188385
## 2014-03-27 34.316919 34.685366 34.299782 34.633953   73438700    34.633953
## 2014-03-28 34.942409 35.148055 34.865293 34.908138   67464400    34.908138
## 2014-03-31 35.122350 35.345130 35.105213 35.139484   75256100    35.139484
## 2014-04-01 35.473664 35.550781 35.336568 35.550781   65717300    35.550781
## 2014-04-02 35.413681 35.653599 35.362268 35.619324   44076300    35.619324
## 2014-04-03 35.456530 35.507940 35.130926 35.482235   84659200    35.482235
## 2014-04-04 35.859246 36.099167 35.336569 35.387978  127800700    35.387978
## 2014-04-07 35.422251 35.636464 35.336567 35.542210   60586200    35.542210
## 2014-04-08 36.039186 36.210554 35.833541 35.953499  107043300    35.953499
## 2014-04-09 35.996341 36.390496 35.756424 36.227692   71617000    36.227692
## 2014-04-10 36.219123 36.347649 35.799265 35.842110   74792500    35.842110
## 2014-04-11 35.593622 35.893519 35.585052 35.842110   76310100    35.842110
## 2014-04-14 35.953504 35.962074 35.585058 35.764999   44883400    35.764999
## 2014-04-15 35.542216 35.567920 34.788185 35.225182  155302100    35.225182
## 2014-04-16 35.396545 35.705009 35.310859 35.670738   64113100    35.670738
## 2014-04-17 35.705008 36.116301 35.602187 35.996338   69955200    35.996338
## 2014-04-21 35.944927 35.953494 35.679301 35.773556   29288500    35.773556
## 2014-04-22 35.816402 35.867815 35.662169 35.679306   43060000    35.679306
## 2014-04-23 35.507937 35.525074 35.216607 35.422253   58299300    35.422253
## 2014-04-24 35.447958 35.465095 35.148060 35.456528   39310800    35.456528
## 2014-04-25 34.993822 35.002389 34.736767 34.976685   72613500    34.976685
## 2014-04-28 35.019535 35.268023 34.848164 35.148064   64020600    35.148064
## 2014-04-29 35.370843 35.619331 35.353706 35.482235   71181600    35.482235
## 2014-04-30 35.208043 35.413689 35.165201 35.413689   49063100    35.413689
## 2014-05-01 35.370841 35.542212 35.199473 35.456528   31161300    35.456528
## 2014-05-02 35.387977 35.756424 35.362273 35.653603   63037500    35.653603
## 2014-05-05 35.405116 35.490800 35.302295 35.456528   26894600    35.456528
## 2014-05-06 35.490795 35.824969 35.473661 35.619324   41163100    35.619324
## 2014-05-07 35.516505 35.816402 35.456526 35.807835   43226500    35.807835
## 2014-05-08 35.910653 36.022045 35.722145 35.722145   49820300    35.722145
## 2014-05-09 35.756425 35.842111 35.610761 35.662170   43953000    35.662170
## 2014-05-12 36.184842 36.287663 36.047746 36.261959   63396500    36.261959
## 2014-05-13 36.321941 36.553292 36.270533 36.399059   53342400    36.399059
## 2014-05-14 36.604715 36.776082 36.553303 36.656124   57544700    36.656124
## 2014-05-15 36.604711 36.613278 36.184852 36.313381   56308800    36.313381
## 2014-05-16 36.621845 36.844625 36.519020 36.793213   70419600    36.793213
## 2014-05-19 36.741804 36.844625 36.707529 36.793213   32471500    36.793213
## 2014-05-20 36.656121 36.741808 36.399066 36.493320   63707800    36.493320
## 2014-05-21 36.690394 36.793215 36.664689 36.776077   50661300    36.776077
## 2014-05-22 36.956017 37.033134 36.878901 37.033134   51415000    37.033134
## 2014-05-23 36.981722 37.093113 36.947447 36.964584   55456100    36.964584
## 2014-05-27 36.810350 36.870330 36.527591 36.647549   40155800    36.647549
## 2014-05-28 36.836059 36.938881 36.707530 36.861763   45095400    36.861763
## 2014-05-29 36.956017 37.024564 36.861763 36.964584   28979600    36.964584
## 2014-05-30 36.733242 36.776083 36.381932 36.459049   72201700    36.459049
## 2014-06-02 36.613278 36.690394 36.544731 36.570435   33550800    36.570435
## 2014-06-03 36.613277 36.878902 36.604709 36.776077   38021700    36.776077
## 2014-06-04 36.527593 36.638981 36.467614 36.570435   25656100    36.570435
## 2014-06-05 36.904601 37.015993 36.758938 36.956013   41040500    36.956013
## 2014-06-06 37.255918 37.410151 37.195938 37.324467   45429100    37.324467
## 2014-06-09 37.281622 37.512972 37.281622 37.461563   38995600    37.461563
## 2014-06-10 37.504404 37.684343 37.452992 37.658638   31573300    37.658638
## 2014-06-11 37.435852 37.598656 37.427285 37.530106   44721500    37.530106
## 2014-06-12 37.590084 37.624359 37.230208 37.350166   40265500    37.350166
## 2014-06-13 37.221636 37.401577 37.144518 37.367302   27554000    37.367302
## 2014-06-16 37.255914 37.290188 37.084542 37.195934   32040700    37.195934
## 2014-06-17 37.153097 37.221644 37.050276 37.204506   35013500    37.204506
## 2014-06-18 37.118823 37.641503 37.007432 37.615799   62131500    37.615799
## 2014-06-19 37.495835 37.564385 37.290193 37.401585   48497900    37.401585
## 2014-06-20 37.273055 37.350172 37.187372 37.324467   36744000    37.324467
## 2014-06-23 37.298765 37.315902 37.118827 37.247356   27608300    37.247356
## 2014-06-24 37.350160 37.607215 37.153085 37.230202   49441000    37.230202
## 2014-06-25 37.248346 37.343346 37.136073 37.308800   35940200    37.308800
## 2014-06-26 37.412436 37.412436 37.222436 37.351982   21873800    37.351982
## 2014-06-27 37.351978 37.464250 37.239705 37.438339   21988900    37.438339
## 2014-06-30 37.455612 37.498793 37.308797 37.334705   34343200    37.334705
## 2014-07-01 37.611074 37.723347 37.593802 37.688801   42222400    37.688801
## 2014-07-02 37.844253 37.930614 37.818345 37.913345   35955800    37.913345
## 2014-07-03 37.826968 38.163783 37.801060 38.137875   26627100    38.137875
## 2014-07-07 38.060161 38.137888 37.982435 38.111980   26962800    38.111980
## 2014-07-08 38.086066 38.111978 37.861524 37.939251   29106700    37.939251
## 2014-07-09 37.956521 38.198336 37.913340 38.155155   29892600    38.155155
## 2014-07-10 37.602437 37.965160 37.507437 37.947887   43704000    37.947887
## 2014-07-11 37.792428 37.973793 37.766521 37.904701   32082600    37.904701
## 2014-07-14 38.129245 38.206972 38.060153 38.198334   23136700    38.198334
## 2014-07-15 38.232889 38.276071 37.991075 38.172436   38034000    38.172436
## 2014-07-16 38.362426 38.405610 38.215610 38.267429   26424000    38.267429
## 2014-07-17 37.999697 38.068789 37.481521 37.550610   66994900    37.550610
## 2014-07-18 38.086056 38.224236 37.947876 38.137875   51870700    38.137875
## 2014-07-21 37.947884 38.345157 37.930611 38.267429   56034400    38.267429
## 2014-07-22 38.690602 38.716513 38.604240 38.621513   43480300    38.621513
## 2014-07-23 38.707874 38.707874 38.569694 38.656055   29647900    38.656055
## 2014-07-24 38.707882 38.863335 38.664700 38.828789   31503700    38.828789
## 2014-07-25 38.647424 38.716516 38.552424 38.673332   34409200    38.673332
## 2014-07-28 38.725144 38.958324 38.656052 38.941051   38243200    38.941051
## 2014-07-29 38.975608 38.975608 38.681974 38.707882   35722000    38.707882
## 2014-07-30 38.871967 38.906513 38.336518 38.517879   54177600    38.517879
## 2014-07-31 38.051526 38.129254 37.706073 37.844254   88181200    37.844254
## 2014-08-01 37.956530 38.155164 37.697442 38.051529  108800800    38.051529
## 2014-08-04 38.224248 38.491975 38.068798 38.405613   43918900    38.405613
## 2014-08-05 38.016982 38.120617 37.697441 37.818348   67276000    37.818348
## 2014-08-06 37.611073 37.766527 37.516074 37.559258   63560700    37.559258
## 2014-08-07 37.645617 37.671525 37.256983 37.412437   77763500    37.412437
## 2014-08-08 37.576522 37.809703 37.421072 37.749249   53612400    37.749249
## 2014-08-11 37.930611 38.267429 37.904703 38.232883   49923100    38.232883
## 2014-08-12 38.077431 38.284704 38.034251 38.276066   36823500    38.276066
## 2014-08-13 38.578334 38.673334 38.379700 38.483337   49491900    38.483337
## 2014-08-14 38.509247 38.612882 38.457428 38.543793   33152100    38.543793
## 2014-08-15 38.630163 38.716528 38.241529 38.440163   66006100    38.440163
## 2014-08-18 38.638789 38.811512 38.552423 38.811512   38360500    38.811512
## 2014-08-19 38.846059 39.010147 38.828786 38.992878   33591600    38.992878
## 2014-08-20 38.811513 38.984239 38.742424 38.915150   30889600    38.915150
## 2014-08-21 38.828776 38.897868 38.699233 38.751049   35476300    38.751049
## 2014-08-22 38.794238 38.854696 38.500608 38.647423   45995800    38.647423
## 2014-08-25 38.751058 38.949692 38.699242 38.932423   31989900    38.932423
## 2014-08-26 39.010151 39.191515 38.992882 39.165604   45918400    39.165604
## 2014-08-27 39.243324 39.364235 39.156962 39.364235   34239100    39.364235
## 2014-08-28 38.854694 39.018782 38.811510 38.975601   38157700    38.975601
## 2014-08-29 39.010147 39.070604 38.863331 38.915150   39791500    38.915150
## 2014-09-02 38.906513 38.915151 38.759698 38.854698   48129000    38.854698
## 2014-09-03 39.511050 39.545596 39.295143 39.364235   51700200    39.364235
## 2014-09-04 39.493790 39.580155 39.156974 39.260609   41676700    39.260609
## 2014-09-05 39.329697 39.597420 39.226059 39.597420   53035700    39.597420
## 2014-09-08 39.450600 39.485146 39.053331 39.131058   50222700    39.131058
## 2014-09-09 38.897876 38.984238 38.483334 38.647423   85940600    38.647423
## 2014-09-10 38.284703 38.552426 38.198338 38.483337   57439600    38.483337
## 2014-09-11 38.215608 38.284701 38.163790 38.224243   70622500    38.224243
## 2014-09-12 37.991075 37.999709 37.688802 37.818348   85785600    37.818348
## 2014-09-15 37.706065 37.749245 37.516065 37.628338   68507800    37.628338
## 2014-09-16 37.593791 38.379694 37.567883 38.120605   97318600    38.120605
## 2014-09-17 38.172432 38.232885 37.757890 37.766525   76121700    37.766525
## 2014-09-18 37.887437 37.956529 37.766529 37.818348   50513900    37.818348
## 2014-09-19 37.930609 37.973793 37.438340 37.533340   88033100    37.533340
## 2014-09-22 37.205171 37.248352 36.799264 36.963352   83094000    36.963352
## 2014-09-23 36.876985 37.049712 36.704258 36.756077   82990700    36.756077
## 2014-09-24 37.023799 37.360614 36.842438 37.282887   55218900    37.282887
## 2014-09-25 36.712892 36.730165 36.376077 36.471077   68810700    36.471077
## 2014-09-26 36.505623 36.764712 36.453805 36.635166   54551800    36.635166
## 2014-09-29 35.728361 36.073813 35.719726 35.892452   74208400    35.892452
## 2014-09-30 35.797453 35.961541 35.719726 35.892452   87704500    35.892452
## 2014-10-01 35.702451 35.736997 35.149728 35.158363  109933300    35.158363
## 2014-10-02 35.287905 35.598811 34.864725 35.348358   92880600    35.348358
## 2014-10-03 35.477897 35.745619 35.313805 35.650620   61010900    35.650620
## 2014-10-06 36.376081 36.410627 36.108358 36.116993   84259600    36.116993
## 2014-10-07 36.065170 36.160170 35.797447 35.797447   41767500    35.797447
## 2014-10-08 35.866540 36.401993 35.460636 36.332901   90901600    36.332901
## 2014-10-09 36.186081 36.229262 35.641993 35.762901   82942800    35.762901
## 2014-10-10 35.374268 35.495175 34.951091 34.985634  104177200    34.985634
## 2014-10-13 35.581537 35.840625 35.322449 35.339718   89761000    35.339718
## 2014-10-14 35.460635 35.771539 35.270636 35.546997   71636700    35.546997
## 2014-10-15 35.063366 35.244731 34.355190 35.097912  122284500    35.097912
## 2014-10-16 34.286102 35.167004 34.268828 34.778370  101076200    34.778370
## 2014-10-17 35.158358 35.408811 34.959724 35.166996   73616400    35.166996
## 2014-10-20 35.132449 35.313811 35.054723 35.270630   50853900    35.270630
## 2014-10-21 35.201535 35.555623 35.175627 35.417442   49877200    35.417442
## 2014-10-22 35.374261 35.443353 35.063353 35.184265   50711600    35.184265
## 2014-10-23 35.270635 35.382908 35.132455 35.175636   43661600    35.175636
## 2014-10-24 35.210183 35.598817 35.184275 35.426090   43721100    35.426090
## 2014-10-27 34.864727 35.201542 34.787001 35.149727   44793200    35.149727
## 2014-10-28 35.572900 35.961534 35.564265 35.857899   73890500    35.857899
## 2014-10-29 36.194717 36.289716 35.685176 35.909721   75308700    35.909721
## 2014-10-30 35.978806 36.393347 35.978806 36.246532   54208200    36.246532
## 2014-10-31 36.410624 36.557442 36.272443 36.401989  108786100    36.401989
## 2014-11-03 36.281077 36.306989 36.013355 36.099716   59606600    36.099716
## 2014-11-04 36.142905 36.168816 35.883817 36.134270   41428100    36.134270
## 2014-11-05 35.840628 35.883809 35.607448 35.814720   48726600    35.814720
## 2014-11-06 35.711086 35.762905 35.356998 35.374271   52054400    35.374271
## 2014-11-07 35.477905 35.650628 35.417447 35.598812   42327500    35.598812
## 2014-11-10 35.978817 36.004725 35.667910 35.693821   45891600    35.693821
## 2014-11-11 35.581544 35.719725 35.529725 35.659271   28395000    35.659271
## 2014-11-12 35.676537 35.840625 35.555626 35.590172   25122300    35.590172
## 2014-11-13 35.745631 35.762905 35.400182 35.495178   30709800    35.495178
## 2014-11-14 35.434719 35.806080 35.408811 35.788807   47386400    35.788807
## 2014-11-17 35.486540 35.486540 35.339721 35.408813   38237800    35.408813
## 2014-11-18 35.460631 35.624720 35.451993 35.598812   23114500    35.598812
## 2014-11-19 35.486539 35.719720 35.331086 35.581539   49215300    35.581539
## 2014-11-20 35.555631 35.685177 35.495177 35.521088   28926200    35.521088
## 2014-11-21 36.436528 36.669708 36.255166 36.652435  111455200    36.652435
## 2014-11-24 36.453809 36.471082 36.315628 36.350174   38061300    36.350174
## 2014-11-25 36.410627 36.445173 36.091085 36.116993   43794300    36.116993
## 2014-11-26 36.436531 36.600622 36.401989 36.574711   30953300    36.574711
## 2014-11-28 36.160175 36.168813 35.823360 35.840633   49144700    35.840633
## 2014-12-01 35.451997 35.460635 35.184274 35.227455   75105900    35.227455
## 2014-12-02 35.331088 35.365634 35.184272 35.218815   47273300    35.218815
## 2014-12-03 35.305181 35.460635 35.270635 35.313816   37508300    35.313816
## 2014-12-04 35.477909 35.495178 35.296544 35.374271   31459900    35.374271
## 2014-12-05 35.201542 35.408815 35.123815 35.305180   32496300    35.305180
## 2014-12-08 35.072003 35.080637 34.735187 34.787003   43437900    34.787003
## 2014-12-09 34.372454 34.484727 34.260182 34.458820   54564100    34.458820
## 2014-12-10 34.363826 34.372461 33.914738 33.949284   55591700    33.949284
## 2014-12-11 33.802468 33.983829 33.612468 33.664288   65853700    33.664288
## 2014-12-12 33.595195 33.603830 33.102926 33.111561   79274600    33.111561
## 2014-12-15 33.180646 33.206558 32.463835 32.636562   93921700    32.636562
## 2014-12-16 32.273839 33.094288 32.152932 32.584747  117074100    32.584747
## 2014-12-17 32.720530 33.771793 32.685490 33.333767  119530800    33.333767
## 2014-12-18 33.841882 34.052133 33.561545 33.789318   70091400    33.789318
## 2014-12-19 33.850641 34.183541 33.841882 34.025852   61239600    34.025852
## 2014-12-22 34.437596 34.560244 34.367511 34.498920   47398500    34.498920
## 2014-12-23 34.218587 34.244868 33.990812 34.183544   52339300    34.183544
## 2014-12-24 34.244864 34.306188 34.095934 34.262386   21433900    34.262386
## 2014-12-26 34.577760 34.717928 34.507674 34.533955   28723000    34.533955
## 2014-12-29 34.542717 34.612799 34.323704 34.323704   38964300    34.323704
## 2014-12-30 34.279900 34.463870 34.271138 34.393784   32332700    34.393784
## 2014-12-31 34.577763 34.595285 34.349988 34.420074   34940700    34.420074
## 2015-01-02 34.332464 34.349985 33.876916 33.964523   65010000    33.964523
## 2015-01-05 33.745511 33.745511 33.307485 33.360050   83166600    33.360050
## 2015-01-06 33.368814 33.517741 33.044675 33.219883   52066100    33.219883
## 2015-01-07 33.789320 33.964531 33.675433 33.938251   64948700    33.938251
## 2015-01-08 34.437592 34.674127 34.393787 34.516438   55081600    34.516438
## 2015-01-09 34.621567 34.639089 34.297430 34.402554   38550100    34.402554
## 2015-01-12 34.297426 34.341228 34.078413 34.122215   55381800    34.122215
## 2015-01-13 34.560242 34.735454 34.139737 34.420074   55565600    34.420074
## 2015-01-14 34.043371 34.306186 33.955763 34.227341   83761000    34.227341
## 2015-01-15 34.682896 34.805544 34.253629 34.306194   57441600    34.306194
## 2015-01-16 34.279907 34.639089 34.227343 34.595287   72675200    34.595287
## 2015-01-20 34.525196 34.568998 34.358747 34.542717   57716900    34.542717
## 2015-01-21 34.831817 35.339929 34.814300 35.304886   74714900    35.304886
## 2015-01-22 35.488859 36.014493 35.322411 35.979450   95318400    35.979450
## 2015-01-23 35.760432 35.883078 35.690349 35.707867   52368100    35.707867
## 2015-01-26 35.593982 35.839276 35.541418 35.725388   47266100    35.725388
## 2015-01-27 35.304886 35.620265 35.296127 35.532661   42525200    35.532661
## 2015-01-28 35.445052 35.480095 35.050827 35.147194   56698000    35.147194
## 2015-01-29 35.103392 35.173478 34.796775 35.147194   53124400    35.147194
## 2015-01-30 34.428838 34.647851 34.183544 34.183544  103745400    34.183544
## 2015-02-02 34.630328 34.928186 34.551484 34.796780   50443600    34.796780
## 2015-02-03 35.182242 35.497621 35.138440 35.453819   48552700    35.453819
## 2015-02-04 35.410016 35.602748 35.226046 35.278610   34900700    35.278610
## 2015-02-05 35.173486 35.515145 35.164723 35.488861   32092400    35.488861
## 2015-02-06 34.963229 35.147199 34.788017 34.884384   64292000    34.884384
## 2015-02-09 34.770498 34.945709 34.761739 34.831821   35632500    34.831821
## 2015-02-10 34.717932 34.796777 34.604045 34.744213   46949400    34.744213
## 2015-02-11 34.463881 34.595291 34.253627 34.490162   44240300    34.490162
## 2015-02-12 34.866863 35.278608 34.840582 35.226044   55855400    35.226044
## 2015-02-13 35.418774 35.646547 35.418774 35.629025   44640000    35.629025
## 2015-02-17 35.523898 35.567700 35.252324 35.550182   30152800    35.550182
## 2015-02-18 35.374967 35.602739 35.278601 35.541416   36036700    35.541416
## 2015-02-19 35.252322 35.576460 35.217279 35.392490   38785800    35.392490
## 2015-02-20 35.261085 35.681590 35.182240 35.629025   32542700    35.629025
## 2015-02-23 35.410016 35.445059 35.191003 35.269848   34091700    35.269848
## 2015-02-24 35.462571 35.883075 35.269838 35.777950   64630500    35.777950
## 2015-02-25 35.672828 35.804234 35.629022 35.707867   28592500    35.707867
## 2015-02-26 35.751664 35.804225 35.655298 35.716621   25889800    35.716621
## 2015-02-27 35.646541 35.918118 35.646541 35.690346   43207600    35.690346
## 2015-03-02 35.602740 35.664064 35.506374 35.637783   36669900    35.637783
## 2015-03-03 35.427531 35.471336 35.348685 35.366207   40406100    35.366207
## 2015-03-04 35.085868 35.103390 34.831812 34.980743   51564400    34.980743
## 2015-03-05 35.042073 35.103396 34.814301 34.928185   33714000    34.928185
## 2015-03-06 34.639081 34.709163 34.314939 34.393784   72516900    34.393784
## 2015-03-09 34.376274 34.402553 34.262386 34.262386   34915600    34.262386
## 2015-03-10 33.745507 33.771787 33.482692 33.500214   84229600    33.500214
## 2015-03-11 33.701711 33.815595 33.605345 33.754272   47978700    33.754272
## 2015-03-12 34.201058 34.236101 33.911959 33.964523   46829700    33.964523
## 2015-03-13 33.701711 33.701711 33.351289 33.552780   69885200    33.552780
## 2015-03-16 33.885683 33.990808 33.815597 33.955765   50569900    33.955765
## 2015-03-17 33.990806 34.367509 33.955763 34.349987   53697700    34.349987
## 2015-03-18 34.271145 35.304886 34.201062 35.190998  101688200    35.190998
## 2015-03-19 34.866860 34.875623 34.490158 34.595287   64499900    34.595287
## 2015-03-20 34.928186 35.191001 34.901906 35.112160   67345300    35.112160
## 2015-03-23 35.182242 35.278608 35.042074 35.217285   35502700    35.217285
## 2015-03-24 35.261085 35.374973 35.217284 35.357452   45280300    35.357452
## 2015-03-25 35.348690 35.383733 34.770497 34.796780   49779900    34.796780
## 2015-03-26 34.630323 34.665366 34.332466 34.472633   76980100    34.472633
## 2015-03-27 34.481397 34.604043 34.411311 34.569000   42212000    34.569000
## 2015-03-30 34.971980 35.304880 34.954462 35.234798   51535700    35.234798
## 2015-03-31 35.015784 35.208513 34.910655 35.155952   47508800    35.155952
## 2015-04-01 35.436298 35.637789 35.357453 35.593987   56392700    35.593987
## 2015-04-02 35.900605 36.215983 35.830522 36.128380   62389200    36.128380
## 2015-04-06 36.470040 36.794178 36.434997 36.592686   54678400    36.592686
## 2015-04-07 36.513832 36.618958 36.399945 36.408707   33279500    36.408707
## 2015-04-08 37.249721 37.311044 36.969385 37.170876   65023100    37.170876
## 2015-04-09 37.389895 37.556344 37.258486 37.538822   52128800    37.538822
## 2015-04-10 37.372373 37.573864 37.346092 37.565105   49899000    37.565105
## 2015-04-13 37.635180 37.766590 37.328564 37.346085   55031100    37.346085
## 2015-04-14 37.433686 37.591376 37.267237 37.512531   42601100    37.512531
## 2015-04-15 37.503778 37.792873 37.433693 37.775352   40254700    37.775352
## 2015-04-16 37.880483 38.292225 37.819156 38.073212   55057700    38.073212
## 2015-04-17 37.276007 37.468740 37.188404 37.407417   76688000    37.407417
## 2015-04-20 37.363613 37.486260 37.337329 37.372372   28811300    37.372372
## 2015-04-21 37.687747 37.766592 37.573859 37.591381   33309100    37.591381
## 2015-04-22 37.845439 38.029409 37.749072 37.994366   29271900    37.994366
## 2015-04-23 37.897990 38.362300 37.880472 38.274693   32056500    38.274693
## 2015-04-24 38.432386 38.458670 38.353541 38.414864   44030100    38.414864
## 2015-04-27 38.563797 38.651401 38.484952 38.563797   41819300    38.563797
## 2015-04-28 38.581320 38.712726 38.458674 38.625122   32442100    38.625122
## 2015-04-29 38.239655 38.344779 38.038159 38.143288   45752900    38.143288
## 2015-04-30 37.836679 37.845442 37.556343 37.565105   98330200    37.565105
## 2015-05-01 37.749075 37.898002 37.556343 37.792877   44928900    37.792877
## 2015-05-04 37.810396 38.073211 37.792874 38.011887   31314300    38.011887
## 2015-05-05 37.836675 37.889239 37.591381 37.600140   38738700    37.600140
## 2015-05-06 37.652705 37.687747 37.065752 37.135834   52439700    37.135834
## 2015-05-07 36.916823 37.092034 36.846740 37.083275   44347000    37.083275
## 2015-05-08 37.512533 37.731546 37.398646 37.556335   56822800    37.556335
## 2015-05-11 37.512534 37.573857 37.162112 37.197155   34705400    37.197155
## 2015-05-12 36.908052 37.170867 36.881768 37.074501   38432500    37.074501
## 2015-05-13 37.416169 37.486255 37.118312 37.144596   41156700    37.144596
## 2015-05-14 37.398643 37.573854 37.346082 37.512531   37071400    37.512531
## 2015-05-15 37.486260 37.810399 37.398654 37.801640   40940700    37.801640
## 2015-05-18 37.591379 37.608900 37.398647 37.416168   35675300    37.416168
## 2015-05-19 37.503776 37.530057 37.407411 37.477493   32065300    37.477493
## 2015-05-20 37.398646 37.556335 37.267240 37.451210   37659200    37.451210
## 2015-05-21 37.179631 37.346082 37.127069 37.319798   27575700    37.319798
## 2015-05-22 37.512537 37.556339 37.363610 37.442455   37907000    37.442455
## 2015-05-26 37.205926 37.214686 36.732857 36.846745   51008600    36.846745
## 2015-05-27 36.557641 36.881779 36.496318 36.855499   35464700    36.855499
## 2015-05-28 36.294824 36.417472 36.163416 36.373669   42689100    36.373669
## 2015-05-29 36.312342 36.347385 35.979441 36.023243   59462200    36.023243
## 2015-06-01 36.040772 36.058294 35.804238 35.883083   52509700    35.883083
## 2015-06-02 35.848032 36.180932 35.795471 36.023243   42331700    36.023243
## 2015-06-03 35.865556 35.970684 35.751671 35.839275   39291400    35.839275
## 2015-06-04 35.523896 35.637783 35.278602 35.296124   46637300    35.296124
## 2015-06-05 35.024544 35.313642 34.963221 35.138432   51982800    35.138432
## 2015-06-08 35.191001 35.234806 35.094638 35.129677   34008200    35.129677
## 2015-06-09 34.989504 35.015788 34.875619 34.919422   33384100    34.919422
## 2015-06-10 35.252328 35.471341 35.234806 35.427536   64828100    35.427536
## 2015-06-11 35.339930 35.348689 35.155960 35.252327   33808000    35.252327
## 2015-06-12 35.261086 35.296129 35.147198 35.252327   40975900    35.252327
## 2015-06-15 34.831817 34.901903 34.752972 34.858101   34097000    34.858101
## 2015-06-16 34.735454 34.919424 34.665368 34.866859   33605900    34.866859
## 2015-06-17 34.875626 35.278609 34.674135 35.077118   70505900    35.077118
## 2015-06-18 35.348692 35.532666 35.287369 35.401257   60019000    35.401257
## 2015-06-19 35.234803 35.357451 35.094635 35.094635   55891700    35.094635
## 2015-06-22 35.699112 35.716633 35.558943 35.602745   45009800    35.602745
## 2015-06-23 35.742909 35.970684 35.734150 35.953163   40579100    35.953163
## 2015-06-24 35.918125 35.979449 35.699112 35.699112   56107100    35.699112
## 2015-06-25 35.744123 35.761774 35.549956 35.576435   33663800    35.576435
## 2015-06-26 35.258710 35.435225 35.205754 35.241058   34721500    35.241058
## 2015-06-29 34.676209 34.808593 34.446739 34.455566   59610800    34.455566
## 2015-06-30 35.073372 35.091020 34.843902 34.967461   61266600    34.967461
## 2015-07-01 35.161626 35.179278 34.861552 34.940983   38622300    34.940983
## 2015-07-02 35.152800 35.320487 35.082193 35.108669   34085800    35.108669
## 2015-07-06 34.173148 34.367312 33.996633 34.129017   66892500    34.129017
## 2015-07-07 33.484743 33.678910 33.016982 33.617130  100698500    33.617130
## 2015-07-08 32.725731 32.875766 32.408005 32.460957   93899000    32.460957
## 2015-07-09 33.449436 33.564168 33.078755 33.087582   72889000    33.087582
## 2015-07-10 33.917200 34.040760 33.705382 33.926025   64726600    33.926025
## 2015-07-13 34.146672 34.234930 34.067239 34.155499   43846200    34.155499
## 2015-07-14 33.996623 34.243742 33.961320 34.217266   30252200    34.217266
## 2015-07-15 34.005449 34.031928 33.793634 33.828938   44039400    33.828938
## 2015-07-16 34.208448 34.305531 34.111369 34.252579   36217600    34.252579
## 2015-07-17 34.305534 34.314361 34.146671 34.208450   35714800    34.208450
## 2015-07-20 33.881896 34.058411 33.731861 33.987804   31707000    33.987804
## 2015-07-21 34.137843 34.164320 33.970157 33.996632   27625400    33.996632
## 2015-07-22 33.714206 33.723030 33.475911 33.511215   39326800    33.511215
## 2015-07-23 33.493564 33.520041 33.158187 33.184662   42787700    33.184662
## 2015-07-24 32.911067 32.919891 32.540386 32.708076   55194200    32.708076
## 2015-07-27 32.160883 32.284445 32.010847 32.090279   73051800    32.090279
## 2015-07-28 32.337389 32.443296 32.125574 32.416821   49701300    32.416821
## 2015-07-29 32.496260 32.875765 32.399176 32.734554   61119900    32.734554
## 2015-07-30 32.372701 32.469785 32.205015 32.408005   44051400    32.408005
## 2015-07-31 32.716900 32.884587 32.628644 32.761028   85020500    32.761028
## 2015-08-03 32.363872 32.390352 32.090278 32.213837   45674700    32.213837
## 2015-08-04 32.487431 32.593338 32.231484 32.328568   38618400    32.328568
## 2015-08-05 32.637477 32.663952 32.275623 32.337402   30785300    32.337402
## 2015-08-06 32.169709 32.187361 31.966718 32.054974   42182300    32.054974
## 2015-08-07 32.054971 32.178530 31.966715 32.037319   37027200    32.037319
## 2015-08-10 32.231484 32.646294 32.196182 32.575687   43071900    32.575687
## 2015-08-11 31.807850 31.904934 31.578380 31.860802   58642500    31.860802
## 2015-08-12 31.287137 31.375392 31.110622 31.366568   64540000    31.366568
## 2015-08-13 31.375389 31.516600 31.260654 31.313610   58165600    31.313610
## 2015-08-14 31.393048 31.490131 31.322444 31.357744   35715200    31.357744
## 2015-08-17 30.907634 31.048846 30.845855 31.013542   42609500    31.013542
## 2015-08-18 30.669338 30.757593 30.572254 30.678162   42639500    30.678162
## 2015-08-19 30.448697 30.607560 30.051539 30.298662  112308600    30.298662
## 2015-08-20 29.892677 29.980936 29.742642 29.822073  116628600    29.822073
## 2015-08-21 29.380785 29.521996 28.868892 28.904196  129140200    28.904196
## 2015-08-24 26.944892 28.436437 26.477128 27.642122  218802300    27.642122
## 2015-08-25 29.354308 29.371961 27.995150 27.995150  135001800    27.995150
## 2015-08-26 28.692378 29.036584 28.162837 28.921848  134618500    28.921848
## 2015-08-27 29.486695 30.254530 29.477871 30.201578  144856300    30.201578
## 2015-08-28 29.742638 30.016232 29.645554 29.813242   68659200    29.813242
## 2015-08-31 29.592600 29.919154 29.336657 29.866198   98538600    29.866198
## 2015-09-01 28.957154 29.142493 28.559997 28.710032   83635900    28.710032
## 2015-09-02 29.160144 29.168968 28.798290 29.124840   55551000    29.124840
## 2015-09-03 29.177794 29.627904 29.133663 29.239574   67468200    29.239574
## 2015-09-04 28.692379 28.780639 28.198142 28.365829   81962800    28.365829
## 2015-09-08 29.142492 29.310180 29.001282 29.266052   53584300    29.266052
## 2015-09-09 29.813239 29.866194 29.116011 29.116011   56389200    29.116011
## 2015-09-10 29.195451 29.592606 29.124844 29.416094   49745400    29.416094
## 2015-09-11 29.336658 29.566125 29.274875 29.530821   42195900    29.530821
## 2015-09-14 29.433738 29.521998 29.257227 29.486694   39313800    29.486694
## 2015-09-15 29.477868 29.848546 29.442565 29.769115   51913600    29.769115
## 2015-09-16 30.254531 30.616385 30.210403 30.492825   85209600    30.492825
## 2015-09-17 30.254528 31.198878 30.236875 30.422218  105902400    30.422218
## 2015-09-18 30.122144 30.342787 29.733811 29.857374   90964900    29.857374
## 2015-09-21 29.866202 29.927982 29.689687 29.804422   45318300    29.804422
## 2015-09-22 29.160145 29.274876 29.018933 29.248400   58874100    29.248400
## 2015-09-23 29.116018 29.151318 28.771812 28.780640   44721000    28.780640
## 2015-09-24 28.330524 28.798289 28.189315 28.657078   79880800    28.657078
## 2015-09-25 29.071883 29.071883 28.551165 28.595297   59861600    28.595297
## 2015-09-28 28.365825 28.374654 27.898065 27.986320   58659500    27.986320
## 2015-09-29 28.083404 28.259918 27.924541 28.118708   52829500    28.118708
## 2015-09-30 28.851241 28.992451 28.665902 28.930672   80422200    28.930672
## 2015-10-01 29.168966 29.230746 28.868892 29.089535   48402600    29.089535
## 2015-10-02 28.957151 29.875022 28.851241 29.866198   83904700    29.866198
## 2015-10-05 30.210399 30.528124 30.157443 30.510473   77869000    30.510473
## 2015-10-06 30.404568 30.528127 30.289833 30.457520   47313400    30.457520
## 2015-10-07 31.207703 31.463649 31.031188 31.269482   97905900    31.269482
## 2015-10-08 31.084145 31.648991 31.048841 31.604862   64163600    31.604862
## 2015-10-09 31.922585 32.002017 31.569559 31.719595   61563400    31.719595
## 2015-10-12 31.772552 31.790204 31.446002 31.481302   44030200    31.481302
## 2015-10-13 31.110621 31.375392 30.942934 30.969410   72241600    30.969410
## 2015-10-14 31.190051 31.357738 31.101795 31.207703   57724900    31.207703
## 2015-10-15 31.719600 31.984374 31.534261 31.966722   60410800    31.966722
## 2015-10-16 31.851982 32.002017 31.684295 31.993193   65003800    31.993193
## 2015-10-19 31.657820 31.684299 31.507784 31.666647   52354600    31.666647
## 2015-10-20 31.587216 31.710775 31.516609 31.657820   44212500    31.657820
## 2015-10-21 31.454827 31.481304 31.181233 31.198881   55037000    31.198881
## 2015-10-22 31.525438 31.913768 31.525438 31.843164   56963300    31.843164
## 2015-10-23 32.081455 32.143235 31.904944 32.028503   53727000    32.028503
## 2015-10-26 31.869629 31.887281 31.701938 31.737242   41789200    31.737242
## 2015-10-27 31.401882 31.516613 31.304798 31.375402   56392800    31.375402
## 2015-10-28 31.446004 31.596039 30.837028 31.013542  125416000    31.013542
## 2015-10-29 30.713469 30.863507 30.660517 30.722296   63886000    30.722296
## 2015-10-30 30.951757 30.960585 30.757590 30.775242   72076000    30.775242
## 2015-11-02 31.040015 31.384220 31.022367 31.384220   51896500    31.384220
## 2015-11-03 31.295960 31.922584 31.287136 31.799025   68335400    31.799025
## 2015-11-04 31.993200 32.010852 31.446007 31.543091   69243600    31.543091
## 2015-11-05 31.516604 31.701943 31.393045 31.596035   43303000    31.596035
## 2015-11-06 30.898807 31.198881 30.731120 31.154753   65547200    31.154753
## 2015-11-09 30.704644 30.810552 30.307486 30.378090   76448600    30.378090
## 2015-11-10 30.245701 30.325133 30.113314 30.245701   53876200    30.245701
## 2015-11-11 30.484002 30.492826 30.254532 30.307487   34433100    30.307487
## 2015-11-12 30.175097 30.378087 29.989758 30.016233   53097900    30.016233
## 2015-11-13 29.813240 29.839719 29.513166 29.601425   72046800    29.601425
## 2015-11-16 29.689681 30.183922 29.636729 30.175095   61895300    30.175095
## 2015-11-17 30.219230 30.272182 30.033888 30.086843   58447500    30.086843
## 2015-11-18 30.051537 30.448695 30.025061 30.413391   48166100    30.413391
## 2015-11-19 30.607558 30.766421 30.554602 30.686989   68973900    30.686989
## 2015-11-20 30.987066 31.154753 30.898806 30.995890   73122400    30.995890
## 2015-11-23 30.863508 30.925288 30.678165 30.704645   55352100    30.704645
## 2015-11-24 30.501650 30.916456 30.475171 30.863504   62017500    30.863504
## 2015-11-25 30.669342 30.695818 30.510479 30.625214   37938300    30.625214
## 2015-11-27 30.219227 30.228051 29.919153 29.954453   54817200    29.954453
## 2015-11-30 29.875020 30.033883 29.804416 29.998583   91134900    29.998583
## 2015-12-01 30.148615 30.272174 30.086835 30.228046   56692100    30.228046
## 2015-12-02 30.051537 30.095665 29.742639 29.866198   59091000    29.866198
## 2015-12-03 29.980927 29.998579 29.583769 29.698505   52692500    29.698505
## 2015-12-04 29.451392 29.954457 29.451392 29.901505   79516400    29.901505
## 2015-12-07 29.619081 29.636733 29.327832 29.407263   47613100    29.407263
## 2015-12-08 28.807112 29.107187 28.736508 29.080711   71352200    29.080711
## 2015-12-09 28.992450 29.292525 28.771808 28.842415   66422800    28.842415
## 2015-12-10 28.762986 28.877721 28.586471 28.648251   59281000    28.648251
## 2015-12-11 28.056929 28.092231 27.800982 27.845110   89806000    27.845110
## 2015-12-14 28.136358 28.312875 27.880414 28.295223   83798000    28.295223
## 2015-12-15 28.648247 28.842413 28.639423 28.727678   78124300    28.727678
## 2015-12-16 28.948325 29.442567 28.824766 29.292528  105082200    29.292528
## 2015-12-17 29.310179 29.336659 28.913021 28.913021   93646700    28.913021
## 2015-12-18 28.921850 29.001282 28.754163 28.815943   96868900    28.815943
## 2015-12-21 29.094697 29.121589 28.834762 29.040920   64002400    29.040920
## 2015-12-22 29.049879 29.282921 29.014025 29.273960   49664600    29.273960
## 2015-12-23 29.498041 29.713160 29.489079 29.686268   47464000    29.686268
## 2015-12-24 29.515973 29.632496 29.498047 29.578716   21532700    29.578716
## 2015-12-28 29.345667 29.390482 29.247070 29.372555   38299200    29.372555
## 2015-12-29 29.453227 29.515969 29.363592 29.399446   43931500    29.399446
## 2015-12-30 29.112625 29.157440 28.924397 28.942324   51320000    28.942324
## 2015-12-31 28.942322 29.058842 28.843726 28.852688   44184700    28.852688
## 2016-01-04 28.099777 28.126666 27.830879 28.063923   83489100    28.063923
## 2016-01-05 28.189406 28.234221 28.054955 28.126661   57773900    28.126661
## 2016-01-06 27.597838 27.777102 27.481315 27.588875   65835100    27.588875
## 2016-01-07 26.880776 27.257232 26.719437 26.737364   88974700    26.737364
## 2016-01-08 26.916629 27.015223 26.441576 26.450539   73528000    26.450539
## 2016-01-11 26.701511 26.719436 26.199568 26.441576   56225500    26.441576
## 2016-01-12 26.629801 26.755287 26.307125 26.495352   61357500    26.495352
## 2016-01-13 26.800108 26.889741 26.154754 26.217497   71788700    26.217497
## 2016-01-14 26.244388 26.656697 26.047195 26.558100   65521200    26.558100
## 2016-01-15 25.518359 25.679699 25.168794 25.509396  117573900    25.509396
## 2016-01-19 26.172679 26.208531 25.688662 25.885853   79535100    25.885853
## 2016-01-20 25.249465 25.509398 24.747524 25.321171  103223500    25.321171
## 2016-01-21 25.312207 25.751406 25.123980 25.419767   81845900    25.419767
## 2016-01-22 26.226459 26.298165 26.047193 26.289202   75886600    26.289202
## 2016-01-25 26.109932 26.217492 25.823109 25.841036   59623300    25.841036
## 2016-01-26 25.984453 26.262312 25.939637 26.217497   60020100    26.217497
## 2016-01-27 26.208530 26.495353 25.948597 26.127861   74020200    26.127861
## 2016-01-28 26.638765 26.701509 26.316090 26.540171   84739900    26.540171
## 2016-01-29 26.961443 27.427532 26.934552 27.400642   81973800    27.400642
## 2016-02-01 26.943516 27.221378 26.871811 27.140709   43254600    27.140709
## 2016-02-02 26.692546 26.728398 26.190602 26.262308   75516000    26.262308
## 2016-02-03 26.540175 27.024189 26.100976 27.006262  117143200    27.006262
## 2016-02-04 27.212418 27.553020 27.042115 27.212418   99923300    27.212418
## 2016-02-05 27.104856 27.194488 26.791141 26.898701   70370700    26.898701
## 2016-02-08 26.486391 26.656693 26.217494 26.531208   72716800    26.531208
## 2016-02-09 26.029268 26.468467 25.894818 26.163717   67275700    26.163717
## 2016-02-10 26.459500 26.755287 26.262308 26.271271   67192400    26.271271
## 2016-02-11 25.742436 26.011334 25.634878 25.832069   86795500    25.832069
## 2016-02-12 26.056156 26.289200 25.930670 26.280237   68436000    26.280237
## 2016-02-16 26.773215 26.898700 26.656692 26.862846   54396200    26.862846
## 2016-02-17 27.104857 27.454423 27.077966 27.391680   69297600    27.391680
## 2016-02-18 27.490272 27.490272 27.167594 27.230337   59141200    27.230337
## 2016-02-19 27.060041 27.239304 26.961444 27.104856   59069000    27.104856
## 2016-02-22 27.561982 27.777100 27.517167 27.777100   42673400    27.777100
## 2016-02-23 27.463386 27.508204 27.149674 27.185526   54666100    27.185526
## 2016-02-24 26.746330 27.221383 26.593954 27.122786   59334200    27.122786
## 2016-02-25 27.086931 27.248270 26.889740 27.212418   45895100    27.212418
## 2016-02-26 27.391676 27.409604 26.916626 26.943514   54635600    26.943514
## 2016-02-29 27.212417 27.436498 27.149674 27.176563   65543100    27.176563
## 2016-03-01 27.696430 28.162518 27.687466 28.144592   69324500    28.144592
## 2016-03-02 28.180447 28.538975 28.117704 28.521049   66977500    28.521049
## 2016-03-03 28.547936 28.852685 28.512082 28.843723   69856900    28.843723
## 2016-03-04 29.121592 29.542862 29.049884 29.417377  102487700    29.417377
## 2016-03-07 29.130547 29.515967 29.103659 29.372555   67816600    29.372555
## 2016-03-08 29.014025 29.058840 28.763055 28.870613   50510100    28.870613
## 2016-03-09 29.058844 29.211221 28.960251 29.049883   54890300    29.049883
## 2016-03-10 29.220177 29.273958 28.673420 29.094692   69716400    29.094692
## 2016-03-11 29.533895 29.766938 29.498041 29.704195   74998500    29.704195
## 2016-03-14 29.605598 29.713160 29.444259 29.524929   43838500    29.524929
## 2016-03-15 29.076769 29.112623 28.942323 29.103661   66967800    29.103661
## 2016-03-16 28.870613 29.766937 28.861651 29.686268   98218500    29.686268
## 2016-03-17 30.089621 30.412298 29.937247 30.340590  114746800    30.340590
## 2016-03-18 30.492964 30.645338 30.466076 30.501926  102194600    30.501926
## 2016-03-21 30.466073 30.636373 30.421254 30.564665   59921400    30.564665
## 2016-03-22 30.295768 30.618445 30.286806 30.492960   41960900    30.492960
## 2016-03-23 30.241993 30.241993 29.937243 29.973093   58628500    29.973093
## 2016-03-24 29.650418 29.910349 29.578710 29.901388   61479100    29.901388
## 2016-03-28 29.919316 30.008947 29.865535 29.999985   40595500    29.999985
## 2016-03-29 29.999986 30.421256 29.757978 30.412294   81638800    30.412294
## 2016-03-30 30.869412 30.994900 30.717038 30.726000   53128600    30.726000
## 2016-03-31 30.833570 30.932163 30.609489 30.699120  109595100    30.699120
## 2016-04-01 30.044805 30.663268 29.955170 30.609491   76178800    30.609491
## 2016-04-04 30.591555 30.600516 30.215097 30.241989   46429000    30.241989
## 2016-04-05 29.766941 29.865537 29.596640 29.650421   61660900    29.650421
## 2016-04-06 29.569748 30.017910 29.489079 30.008945   56608700    30.008945
## 2016-04-07 29.614568 29.677310 29.336706 29.408413   75406000    29.408413
## 2016-04-08 30.053766 30.089620 29.802796 29.919319   44785200    29.919319
## 2016-04-11 30.412295 30.519853 30.259918 30.304737   63972000    30.304737
## 2016-04-12 30.304738 30.869421 30.277847 30.770828   70261600    30.770828
## 2016-04-13 31.263803 31.335507 31.129354 31.317581   95376400    31.317581
## 2016-04-14 31.263802 31.290690 31.120390 31.165205   49781400    31.165205
## 2016-04-15 31.129347 31.183127 30.985935 30.985935   61733700    30.985935
## 2016-04-18 30.878383 31.281730 30.815640 31.129353   51810600    31.129353
## 2016-04-19 31.434099 31.676107 31.398245 31.604399   70368800    31.604399
## 2016-04-20 31.353434 31.622330 31.236910 31.460991   51670100    31.460991
## 2016-04-21 31.380325 31.380325 31.084539 31.147282   59286600    31.147282
## 2016-04-22 31.021792 31.236907 30.932157 30.959049   43727100    30.959049
## 2016-04-25 30.941125 30.941125 30.717044 30.761860   40116100    30.761860
## 2016-04-26 30.994909 31.102467 30.905275 31.093502   46394300    31.093502
## 2016-04-27 30.968013 31.335506 30.878382 31.281729   56192100    31.281729
## 2016-04-28 30.968010 31.236907 30.887341 30.959049   51718900    30.959049
## 2016-04-29 30.959056 30.994910 30.573637 30.824606   86482700    30.824606
## 2016-05-02 30.824596 30.833562 30.600515 30.743927   36887000    30.743927
## 2016-05-03 30.161324 30.215101 29.865535 29.874500   94755400    29.874500
## 2016-05-04 29.686269 29.740050 29.372557 29.390484  105838400    29.390484
## 2016-05-05 29.677310 29.713164 29.291889 29.381521   83029500    29.381521
## 2016-05-06 29.282919 29.551819 29.264996 29.426334   81640000    29.426334
## 2016-05-09 29.363595 29.372560 28.969214 29.049883   84074300    29.049883
## 2016-05-10 29.372557 29.623526 29.363591 29.605600   69384400    29.605600
## 2016-05-11 29.578707 29.740046 29.462184 29.533892   58600300    29.533892
## 2016-05-12 29.704197 29.757978 29.345670 29.453228   63469800    29.453228
## 2016-05-13 29.202253 29.327738 28.870611 28.924391   62246800    28.924391
## 2016-05-16 29.211217 29.372556 29.202256 29.273960   51206600    29.273960
## 2016-05-17 29.211221 29.345671 29.058844 29.139513   63616400    29.139513
## 2016-05-18 28.942322 29.247073 28.691349 28.852688   91541300    28.852688
## 2016-05-19 28.610679 28.682385 28.413488 28.583788   74455000    28.583788
## 2016-05-20 28.852687 28.951282 28.816836 28.870613   54928300    28.870613
## 2016-05-23 28.807873 28.996100 28.789947 28.816839   52648200    28.816839
## 2016-05-24 28.969207 29.175361 28.942318 29.112619   58219200    29.112619
## 2016-05-25 29.390483 29.596637 29.372555 29.462187   53340200    29.462187
## 2016-05-26 29.695234 29.749012 29.498042 29.659380   48215100    29.659380
## 2016-05-27 29.766941 29.829683 29.569752 29.650421   43342900    29.650421
## 2016-05-31 29.722122 29.847606 29.605599 29.686268   94760100    29.686268
## 2016-06-01 29.569752 29.731087 29.498044 29.668344   52115100    29.668344
## 2016-06-02 29.641453 29.946203 29.596636 29.910349   48252500    29.910349
## 2016-06-03 30.277840 30.385401 30.044796 30.367474   89424800    30.367474
## 2016-06-06 30.483999 30.743934 30.457111 30.690157  110069500    30.690157
## 2016-06-07 30.887347 31.003870 30.860458 30.968016   59934000    30.968016
## 2016-06-08 31.174175 31.245882 31.066616 31.192101   75850100    31.192101
## 2016-06-09 30.770827 30.905274 30.726008 30.833570   54934300    30.833570
## 2016-06-10 30.206138 30.340584 29.982057 30.053761   77417500    30.053761
## 2016-06-13 29.659379 29.910349 29.596636 29.632490   56865500    29.632490
## 2016-06-14 29.542853 29.686265 29.291883 29.533892   71023800    29.533892
## 2016-06-15 29.838648 30.107544 29.740051 29.847609   64707000    29.847609
## 2016-06-16 29.309811 29.766935 29.121584 29.740046   73981900    29.740046
## 2016-06-17 29.793836 29.838651 29.596643 29.820724   56740400    29.820724
## 2016-06-20 30.385408 30.546746 30.322665 30.349554   78204200    30.349554
## 2016-06-21 30.492964 30.672230 30.322665 30.582596   75173100    30.582596
## 2016-06-22 30.786754 30.859022 30.606080 30.660280   67273500    30.660280
## 2016-06-23 31.075834 31.401043 30.940328 31.401043   70159900    31.401043
## 2016-06-24 29.594303 30.226661 29.422665 29.494936  158566000    29.494936
## 2016-06-27 29.359437 29.368469 28.808382 29.115528  101826000    29.115528
## 2016-06-28 29.811115 29.991789 29.702712 29.973721   68332900    29.973721
## 2016-06-29 30.551879 30.732552 30.497675 30.732552   82587300    30.732552
## 2016-06-30 30.868059 31.121004 30.723520 31.039701   92761700    31.039701
## 2016-07-01 31.274575 31.392014 31.202308 31.337811   66514800    31.337811
## 2016-07-05 30.904191 30.931294 30.624150 30.669317   63420200    30.669317
## 2016-07-06 30.253772 30.588017 30.109233 30.588017   61084500    30.588017
## 2016-07-07 30.732552 30.822888 30.416371 30.506710   49586800    30.506710
## 2016-07-08 30.849989 31.175198 30.813854 31.166166   74907900    31.166166
## 2016-07-11 31.428151 31.572690 31.410083 31.464287   70202000    31.464287
## 2016-07-12 31.879829 32.006299 31.789490 31.906929   89275200    31.906929
## 2016-07-13 31.915963 31.934027 31.644950 31.852724   62034300    31.852724
## 2016-07-14 32.205044 32.403782 32.132773 32.313446   99969200    32.313446
## 2016-07-15 32.286348 32.313447 32.114706 32.241177   82124300    32.241177
## 2016-07-18 32.141810 32.539289 32.141810 32.530254   75861700    32.530254
## 2016-07-19 32.241175 32.304410 32.087604 32.196007   54832700    32.196007
## 2016-07-20 32.268280 32.430887 32.177942 32.358616   48091500    32.358616
## 2016-07-21 32.286351 32.421853 32.168912 32.259247   56354300    32.259247
## 2016-07-22 32.367644 32.503147 32.268272 32.494114   45498600    32.494114
## 2016-07-25 32.376681 32.385712 32.141807 32.168907   44174100    32.168907
## 2016-07-26 32.349580 32.485084 32.304409 32.421848   63593800    32.421848
## 2016-07-27 32.476055 32.629625 32.205045 32.530254   67888600    32.530254
## 2016-07-28 32.476056 32.539291 32.331517 32.539291   45590000    32.539291
## 2016-07-29 32.548320 32.747062 32.403781 32.710926   85265700    32.710926
## 2016-08-01 32.792229 32.846433 32.602523 32.647690   57794000    32.647690
## 2016-08-02 32.593493 32.674793 32.177942 32.412819   81854600    32.412819
## 2016-08-03 32.186980 32.539292 32.114709 32.521225   42844900    32.521225
## 2016-08-04 32.611558 32.837399 32.539290 32.701897   70532500    32.701897
## 2016-08-05 32.936771 33.117446 32.846436 33.081310   55760000    33.081310
## 2016-08-08 33.298118 33.388453 33.261982 33.316185   43636800    33.316185
## 2016-08-09 33.442659 33.677533 33.433623 33.542030   65823600    33.542030
## 2016-08-10 33.713667 33.731734 33.451690 33.551060   59111700    33.551060
## 2016-08-11 33.686567 34.002743 33.641399 33.984676   82544300    33.984676
## 2016-08-12 33.876267 33.966602 33.722697 33.858200   54790400    33.858200
## 2016-08-15 34.111147 34.309889 34.102115 34.210518   55160100    34.210518
## 2016-08-16 34.138253 34.138253 33.939511 34.056950   62084000    34.056950
## 2016-08-17 33.794967 33.930473 33.514921 33.840134  106432500    33.840134
## 2016-08-18 34.056949 34.174387 33.966609 34.156319   63045700    34.156319
## 2016-08-19 33.785932 33.993706 33.641393 33.966602   63995700    33.966602
## 2016-08-22 33.650426 33.650426 33.415552 33.514919   62902100    33.514919
## 2016-08-23 33.803997 33.876268 33.352313 33.379417   72475000    33.379417
## 2016-08-24 33.325214 33.514920 33.261979 33.469753   75080700    33.469753
## 2016-08-25 33.343279 33.514917 33.343279 33.496853   56434300    33.496853
## 2016-08-26 33.569132 33.921444 32.945809 33.207783  178796200    33.207783
## 2016-08-29 33.207778 33.505891 33.189715 33.460724   49578800    33.460724
## 2016-08-30 33.505890 33.623329 33.316184 33.370384   48196900    33.370384
## 2016-08-31 33.198750 33.234885 32.900637 33.000008   98943200    33.000008
## 2016-09-01 33.036140 33.252949 32.954837 33.252949   67120400    33.252949
## 2016-09-02 33.704628 33.813031 33.560090 33.794964   88393000    33.794964
## 2016-09-06 34.246653 34.544766 34.174385 34.517662  108573800    34.517662
## 2016-09-07 34.526703 34.544771 34.336993 34.409264   58618800    34.409264
## 2016-09-08 34.418280 34.517651 34.237610 34.318913   73367300    34.318913
## 2016-09-09 33.785935 33.794967 33.144542 33.162609  124082600    33.162609
## 2016-09-12 32.710926 33.514922 32.647690 33.388451  119811600    33.388451
## 2016-09-13 32.891597 33.018068 32.385710 32.548317  160782500    32.548317
## 2016-09-14 32.656726 33.009039 32.629623 32.647690   90163100    32.647690
## 2016-09-15 32.882574 33.289086 32.738036 33.207783   87331100    33.207783
## 2016-09-16 32.936770 33.027108 32.674792 32.981937   92612000    32.981937
## 2016-09-19 33.397493 33.514928 33.189720 33.243919   55874700    33.243919
## 2016-09-20 33.505895 33.505895 33.252953 33.261986   48531200    33.261986
## 2016-09-21 33.587194 34.237620 33.487823 34.192448  123874800    34.192448
## 2016-09-22 34.490559 34.617030 34.309885 34.436356   73865400    34.436356
## 2016-09-23 34.156316 34.246652 33.975643 33.993710   56201900    33.993710
## 2016-09-26 33.686559 33.767862 33.496853 33.496853   47253900    33.496853
## 2016-09-27 33.740761 33.975639 33.596223 33.975639   60877300    33.975639
## 2016-09-28 34.029841 34.309887 33.722700 34.282787   82411300    34.282787
## 2016-09-29 34.102113 34.192448 33.587194 33.686565   74659100    33.686565
## 2016-09-30 33.840136 33.957575 33.677530 33.831104   85539100    33.831104
## 2016-10-03 33.903373 34.129215 33.767870 34.065979   77690300    34.065979
## 2016-10-04 34.084046 34.165349 33.578158 33.686565   95339800    33.686565
## 2016-10-05 34.029839 34.219548 33.921435 34.174381   61950100    34.174381
## 2016-10-06 33.993711 34.228584 33.912407 34.201485   45429700    34.201485
## 2016-10-07 34.246651 34.291818 33.785935 34.047909   77792800    34.047909
## 2016-10-10 34.273751 34.499593 34.219551 34.418289   56113700    34.418289
## 2016-10-11 33.822064 33.840131 33.451683 33.623325   79646900    33.623325
## 2016-10-12 33.514921 33.677528 33.406519 33.560093   48482900    33.560093
## 2016-10-13 33.045180 33.388457 32.864505 33.261986   67497300    33.261986
## 2016-10-14 33.542027 33.614294 33.252949 33.316185   54235800    33.316185
## 2016-10-17 33.271020 33.406523 33.243916 33.280052   37742300    33.280052
## 2016-10-18 33.849173 33.930476 33.731734 33.867241   50174900    33.867241
## 2016-10-19 34.029841 34.147280 33.903370 34.075012   49171200    34.075012
## 2016-10-20 33.957571 34.120177 33.849168 33.975639   55283900    33.975639
## 2016-10-21 33.776896 33.993706 33.731728 33.966602   33058500    33.966602
## 2016-10-24 34.237620 34.264719 34.020810 34.111145   28142200    34.111145
## 2016-10-25 34.084043 34.210514 34.029839 34.147278   32233900    34.147278
## 2016-10-26 33.767870 33.948544 33.677531 33.785938   50715500    33.785938
## 2016-10-27 33.813030 33.813030 33.469749 33.496853   47287000    33.496853
## 2016-10-28 33.532994 33.677533 33.198749 33.361355   69558100    33.361355
## 2016-10-31 33.514924 33.668499 33.469757 33.551060   60365100    33.551060
## 2016-11-01 33.677533 33.686568 33.018075 33.280052   90113200    33.280052
## 2016-11-02 33.153577 33.243912 32.728994 32.882568   82319300    32.882568
## 2016-11-03 32.918704 33.018075 32.674794 32.792233   67403000    32.792233
## 2016-11-04 32.530261 32.683835 32.412826 32.457993   78558900    32.457993
## 2016-11-07 33.252942 33.668490 33.198739 33.632355   85341300    33.632355
## 2016-11-08 33.632362 34.029842 33.397487 33.849171   83963300    33.849171
## 2016-11-09 32.828369 33.144547 32.602527 32.747066  193443900    32.747066
## 2016-11-10 32.448949 32.566388 31.653989 31.816595  206490900    31.816595
## 2016-11-11 31.211340 31.473317 30.822892 31.211340  182114700    31.211340
## 2016-11-14 31.003559 31.166165 30.741582 30.985491  107881600    30.985491
## 2016-11-15 31.229410 31.663025 31.211342 31.608826   89937000    31.608826
## 2016-11-16 31.238435 31.428141 31.184231 31.346838   65387900    31.346838
## 2016-11-17 31.455248 31.635921 31.337809 31.392012   80829200    31.392012
## 2016-11-18 31.455249 31.518484 31.229408 31.247475   51490500    31.247475
## 2016-11-21 31.527516 31.644951 31.464280 31.554615   45251800    31.554615
## 2016-11-22 32.015331 32.051466 31.798524 32.033398   61503100    32.033398
## 2016-11-23 31.581712 31.735286 31.509445 31.690119   43495600    31.690119
## 2016-11-25 31.870795 31.897898 31.798528 31.843695   28572700    31.843695
## 2016-11-28 31.970163 32.096634 31.934027 31.970163   50953000    31.970163
## 2016-11-29 31.870796 32.114705 31.834664 32.015335   36457700    32.015335
## 2016-11-30 32.159869 32.205041 32.051467 32.069534   86930300    32.069534
## 2016-12-01 31.979196 32.051464 31.681084 31.690119   80947500    31.690119
## 2016-12-02 31.690123 31.879829 31.672055 31.726255   58727500    31.726255
## 2016-12-05 31.879831 32.015334 31.861763 31.988234   53275100    31.988234
## 2016-12-06 32.087602 32.168906 32.006299 32.159870   48356900    32.159870
## 2016-12-07 32.358617 32.738033 32.304413 32.701897   61773300    32.701897
## 2016-12-08 32.611554 32.891599 32.593490 32.846432   60291800    32.846432
## 2016-12-09 32.647689 32.774160 32.584454 32.674789   60173400    32.674789
## 2016-12-12 32.494129 32.611564 32.367658 32.457993   40766300    32.457993
## 2016-12-13 32.647686 32.891596 32.638654 32.819328   48943200    32.819328
## 2016-12-14 32.557356 32.674791 31.834663 31.843695   95190000    31.843695
## 2016-12-15 31.861760 32.024367 31.771422 31.897896   68897000    31.897896
## 2016-12-16 31.825627 31.924997 31.663020 31.753359   75471100    31.753359
## 2016-12-19 31.771430 31.780465 31.536556 31.536556   45241700    31.536556
## 2016-12-20 31.626883 31.708186 31.563648 31.644951   39157800    31.644951
## 2016-12-21 31.696114 31.705253 31.485964 31.513378   52040600    31.513378
## 2016-12-22 31.175310 31.193584 31.010845 31.138765   48802800    31.138765
## 2016-12-23 31.166176 31.321503 31.138767 31.321503   32062900    31.321503
## 2016-12-27 31.394601 31.495108 31.385461 31.458559   25959900    31.458559
## 2016-12-28 31.723538 31.760083 31.613891 31.696125   33745600    31.696125
## 2016-12-29 32.015909 32.253468 31.997634 32.216919   48465500    32.216919
## 2016-12-30 32.207792 32.226066 31.897135 31.988503   60515600    31.988503
## 2017-01-03 32.335712 32.573276 32.253480 32.372261   64483700    32.372261
## 2017-01-04 32.554999 32.682916 32.536725 32.618958   83072600    32.618958
## 2017-01-05 32.856515 33.030120 32.838241 32.975296   60303200    32.975296
## 2017-01-06 32.865655 32.893065 32.746873 32.838242   33132200    32.838242
## 2017-01-09 32.819964 32.893062 32.774280 32.810829   33950800    32.810829
## 2017-01-10 33.011844 33.185445 32.984430 33.002705   46621700    33.002705
## 2017-01-11 33.066672 33.423017 32.938755 33.395603   92509300    33.395603
## 2017-01-12 33.532647 33.541782 33.368181 33.541782   38318100    33.541782
## 2017-01-13 33.413863 33.541780 33.377315 33.514370   35242000    33.514370
## 2017-01-17 33.441274 33.550921 33.395591 33.496098   38367000    33.496098
## 2017-01-18 33.514376 33.523512 33.249403 33.313362   37054200    33.313362
## 2017-01-19 33.322502 33.331638 33.075804 33.212856   52877000    33.212856
## 2017-01-20 33.249404 33.322502 33.094077 33.276814   59295600    33.276814
## 2017-01-23 33.505241 33.779353 33.486971 33.770214   51401800    33.770214
## 2017-01-24 33.916407 34.108286 33.898132 33.980366   45519900    33.980366
## 2017-01-25 34.217921 34.373248 34.135689 34.354973   42660800    34.354973
## 2017-01-26 34.345841 34.354976 34.181376 34.208786   43300100    34.208786
## 2017-01-27 34.208782 34.281879 34.099140 34.236195   30457500    34.236195
## 2017-01-30 33.989501 34.062595 33.907269 34.053459   34712000    34.053459
## 2017-01-31 34.090010 34.181379 33.989503 34.117420   67258600    34.117420
## 2017-02-01 34.254477 34.318435 34.044324 34.135696   54321500    34.135696
## 2017-02-02 34.245335 34.318432 34.190512 34.281883   26814000    34.281883
## 2017-02-03 34.428076 34.555994 34.354979 34.492035   34305200    34.492035
## 2017-02-06 34.455485 34.492034 34.382391 34.409801   30250100    34.409801
## 2017-02-07 34.336702 34.373248 34.199646 34.236195   31693700    34.236195
## 2017-02-08 34.254471 34.482895 34.245332 34.446346   37862900    34.446346
## 2017-02-09 34.446350 34.665636 34.446350 34.601677   38286700    34.601677
## 2017-02-10 34.683911 34.921474 34.665637 34.921474   38798700    34.921474
## 2017-02-13 34.921470 35.067662 34.912332 35.031113   34007000    35.031113
## 2017-02-14 35.031116 35.067665 34.747869 35.067665   55327300    35.067665
## 2017-02-15 35.076794 35.369177 35.040245 35.350903   49527300    35.350903
## 2017-02-16 35.387450 35.387450 35.195574 35.222984   42986800    35.222984
## 2017-02-17 34.948877 35.085934 34.921467 35.076794   54880700    35.076794
## 2017-02-21 35.296087 35.469688 35.259538 35.460552   42603700    35.460552
## 2017-02-22 35.405729 35.570194 35.387455 35.570194   39083500    35.570194
## 2017-02-23 35.752938 35.771213 35.524514 35.579334   46763100    35.579334
## 2017-02-24 35.149891 35.232124 35.104203 35.159027   44575100    35.159027
## 2017-02-27 35.058524 35.159032 34.967155 35.049389   53625500    35.049389
## 2017-02-28 35.012841 35.021980 34.702184 34.711323   71508900    34.711323
## 2017-03-01 34.994559 35.268667 34.976285 35.250397   93966300    35.250397
## 2017-03-02 34.903194 34.967152 34.619946 34.629086   63518000    34.629086
## 2017-03-03 34.793558 34.930611 34.683912 34.894062   54969900    34.894062
## 2017-03-06 34.948880 34.958015 34.802688 34.912331   30455800    34.912331
## 2017-03-07 35.021981 35.040251 34.884924 34.948883   43470400    34.948883
## 2017-03-08 34.866645 34.921468 34.592537 34.619946   60587000    34.619946
## 2017-03-09 34.446356 34.501175 34.163108 34.345848   64159100    34.345848
## 2017-03-10 34.619945 34.729588 34.537713 34.729588   45184900    34.729588
## 2017-03-13 35.095071 35.241262 35.058522 35.213852   42405900    35.213852
## 2017-03-14 35.104204 35.149891 34.985426 35.012836   56600300    35.012836
## 2017-03-15 35.195576 35.990491 35.095069 35.926533  124080900    35.926533
## 2017-03-16 36.182366 36.228055 36.036176 36.145821  137911800    36.145821
## 2017-03-17 36.182366 36.200641 36.054449 36.081863   68267900    36.081863
## 2017-03-20 36.310288 36.602670 36.255464 36.502163   70310000    36.502163
## 2017-03-21 36.684905 36.757999 36.072727 36.100136   71712900    36.100136
## 2017-03-22 36.072729 36.355976 35.981360 36.273743   70134100    36.273743
## 2017-03-23 36.145826 36.410796 36.136688 36.282879   53877500    36.282879
## 2017-03-24 36.255468 36.438208 36.246329 36.374249   68871400    36.374249
## 2017-03-27 36.136687 36.337701 36.027044 36.273743   52896700    36.273743
## 2017-03-28 36.246329 36.483892 36.246329 36.374249   51799000    36.374249
## 2017-03-29 36.292015 36.465616 36.218917 36.438206   36857000    36.438206
## 2017-03-30 36.292014 36.401656 36.218916 36.246326   33282500    36.246326
## 2017-03-31 36.017900 36.072724 35.917396 35.990490   94971500    35.990490
## 2017-04-03 36.100137 36.228058 35.972220 36.191509   60048300    36.191509
## 2017-04-04 36.118414 36.264605 36.054455 36.209785   44136500    36.209785
## 2017-04-05 36.365109 36.456481 36.081866 36.100136   44099200    36.100136
## 2017-04-06 36.063595 36.127553 35.926539 36.036182   35544800    36.036182
## 2017-04-07 35.963079 36.136679 35.935669 35.972214   40355800    35.972214
## 2017-04-10 35.835170 35.871715 35.716388 35.826031   33853800    35.826031
## 2017-04-11 35.816891 35.862574 35.533643 35.743793   46002800    35.743793
## 2017-04-12 35.899123 35.926533 35.698109 35.917397   55149100    35.917397
## 2017-04-13 35.999638 36.091006 35.752939 35.762074   48182500    35.762074
## 2017-04-17 35.926543 36.136692 35.871719 36.136692   29862300    36.136692
## 2017-04-18 35.725520 35.853441 35.597603 35.679836   50889200    35.679836
## 2017-04-19 35.771210 35.780345 35.369181 35.460552   58751100    35.460552
## 2017-04-20 35.844305 35.908263 35.734663 35.899128   46722900    35.899128
## 2017-04-21 35.908263 35.953947 35.835169 35.899128   32949500    35.899128
## 2017-04-24 36.429072 36.483895 36.319429 36.410797   63549800    36.410797
## 2017-04-25 36.675763 36.831094 36.639215 36.730587   50957400    36.730587
## 2017-04-26 36.666634 36.776276 36.547852 36.593536   56452000    36.593536
## 2017-04-27 36.666629 36.675765 36.438205 36.547848   42298100    36.547848
## 2017-04-28 36.584399 36.666632 36.483892 36.602673   56635400    36.602673
## 2017-05-01 36.767140 36.913332 36.684907 36.812824   41171000    36.812824
## 2017-05-02 36.968143 37.123473 36.922459 37.077789   55325500    37.077789
## 2017-05-03 36.922466 36.959014 36.730590 36.831097   58336100    36.831097
## 2017-05-04 36.630082 36.648357 36.392523 36.419933   81078300    36.419933
## 2017-05-05 36.365102 36.721443 36.355966 36.721443   52581000    36.721443
## 2017-05-08 36.821954 36.913326 36.684902 36.712311   35951500    36.712311
## 2017-05-09 36.995562 37.287944 36.968149 37.178299   70127300    37.178299
## 2017-05-10 37.287946 37.424999 37.242259 37.424999   47629100    37.424999
## 2017-05-11 37.470680 37.571188 37.287944 37.507229   37366100    37.507229
## 2017-05-12 37.562049 37.699101 37.552910 37.662556   65418200    37.662556
## 2017-05-15 37.854435 38.064585 37.827026 38.046310   52561000    38.046310
## 2017-05-16 38.018905 38.101138 37.945808 38.082863   41936300    38.082863
## 2017-05-17 37.753928 37.799612 37.415861 37.434135   63287300    37.434135
## 2017-05-18 36.529577 37.141756 36.383386 36.812824  121234700    36.812824
## 2017-05-19 37.351903 37.671696 37.342764 37.598602   63742000    37.598602
## 2017-05-22 37.635143 37.753924 37.598598 37.635143   46357500    37.635143
## 2017-05-23 37.662560 37.717380 37.571188 37.671696   39495600    37.671696
## 2017-05-24 37.680838 37.881849 37.644290 37.817890   48549600    37.817890
## 2017-05-25 38.018897 38.128539 37.927524 38.000622   39606900    38.000622
## 2017-05-26 38.073718 38.155950 38.037173 38.137680   31372700    38.137680
## 2017-05-30 37.927529 37.991492 37.863571 37.936668   35122800    37.936668
## 2017-05-31 37.936665 37.936665 37.580324 37.644283   80159500    37.644283
## 2017-06-01 37.744788 37.973212 37.653416 37.964073   46802100    37.964073
## 2017-06-02 38.101133 38.183366 38.009761 38.155952   43699200    38.155952
## 2017-06-05 38.146824 38.238192 38.073726 38.110275   39245500    38.110275
## 2017-06-06 38.064581 38.210773 38.046306 38.128540   34184900    38.128540
## 2017-06-07 38.009765 38.155957 37.872714 38.082863   34745400    38.082863
## 2017-06-08 38.338693 38.356968 38.165092 38.311283   48941400    38.311283
## 2017-06-09 38.338690 38.411787 37.808748 38.018898   73660800    38.018898
## 2017-06-12 37.799616 37.836165 37.635151 37.817890   52374200    37.817890
## 2017-06-13 38.018897 38.046306 37.872705 38.000622   38327800    38.000622
## 2017-06-14 38.283876 38.302146 37.863573 37.991493   70500400    37.991493
## 2017-06-15 37.534643 37.616872 37.370178 37.598602   87660700    37.598602
## 2017-06-16 37.680831 37.726515 37.498091 37.662556   53875900    37.662556
## 2017-06-19 37.890983 38.101133 37.863570 38.037174   68181200    38.037174
## 2017-06-20 37.928856 37.938037 37.589223 37.616760   71372000    37.616760
## 2017-06-21 37.791166 37.882961 37.635120 37.699375   54840400    37.699375
## 2017-06-22 37.901317 38.048186 37.809522 37.892136   50400700    37.892136
## 2017-06-23 37.956395 38.167522 37.928859 38.094086   46141200    38.094086
## 2017-06-26 38.452080 38.562231 38.332748 38.461262   44381000    38.461262
## 2017-06-27 38.461265 38.461265 38.002301 38.011478   54898400    38.011478
## 2017-06-28 38.121619 38.341923 38.029827 38.305206   33600800    38.305206
## 2017-06-29 38.121622 38.130803 37.561684 37.818707   66218700    37.818707
## 2017-06-30 38.048192 38.158342 37.965578 37.993114   76054300    37.993114
## 2017-07-03 38.204236 38.332745 38.130803 38.213417   38427000    38.213417
## 2017-07-05 37.993115 38.158344 37.809529 38.139984   49491000    38.139984
## 2017-07-06 37.864606 37.938042 37.625946 37.681019   48464800    37.681019
## 2017-07-07 37.781985 37.846240 37.589221 37.754448   69254100    37.754448
## 2017-07-10 37.882964 38.139983 37.864605 38.112446   38230800    38.112446
## 2017-07-11 38.314398 38.470445 38.204244 38.424549   41916900    38.424549
## 2017-07-12 38.966126 39.250682 38.938586 39.168068   80106600    39.168068
## 2017-07-13 39.232323 39.379192 39.195605 39.360832   38698800    39.360832
## 2017-07-14 39.627032 39.884055 39.608677 39.856514   51171300    39.856514
## 2017-07-17 39.700465 39.728002 39.590314 39.672928   44288000    39.672928
## 2017-07-18 39.599491 39.828973 39.544418 39.792255   49195500    39.792255
## 2017-07-19 39.792251 40.205321 39.792251 40.122707   37949700    40.122707
## 2017-07-20 40.159423 40.168600 39.985017 40.076809   35990000    40.076809
## 2017-07-21 40.085996 40.095178 39.939128 40.049282   34217900    40.049282
## 2017-07-24 40.223684 40.223684 40.049278 40.168606   37613800    40.168606
## 2017-07-25 40.214506 40.269580 40.058456 40.067638   37103900    40.067638
## 2017-07-26 40.131890 40.443986 40.076813 40.398087   49001700    40.398087
## 2017-07-27 40.526607 40.535785 39.893233 40.177792   61916500    40.177792
## 2017-07-28 40.030919 40.168605 39.929946 40.159428   46072600    40.159428
## 2017-07-31 40.242044 40.242044 40.095175 40.205326   60833500    40.205326
## 2017-08-01 40.388912 40.416449 40.278761 40.324657   37138400    40.324657
## 2017-08-02 40.398084 40.434803 40.150247 40.361370   29234800    40.361370
## 2017-08-03 40.168611 40.196152 39.994207 40.196152   45351400    40.196152
## 2017-08-04 40.287936 40.370551 40.104350 40.343014   48442700    40.343014
## 2017-08-07 40.489888 40.645934 40.462351 40.618397   23791100    40.618397
## 2017-08-08 40.728552 40.921320 40.572506 40.627579   33793700    40.627579
## 2017-08-09 40.159430 40.287939 40.049279 40.260403   29007400    40.260403
## 2017-08-10 39.920763 39.929940 39.287388 39.305748  104326500    39.305748
## 2017-08-11 39.351649 39.562772 39.213962 39.397545   52964600    39.397545
## 2017-08-14 39.828973 39.994201 39.755541 39.801437   37340400    39.801437
## 2017-08-15 39.773899 39.874869 39.691286 39.847332   29467800    39.847332
## 2017-08-16 40.177788 40.287939 40.122712 40.260403   43356300    40.260403
## 2017-08-17 40.168608 40.232867 39.691288 39.746361   65838600    39.746361
## 2017-08-18 39.902404 40.251214 39.737176 40.085987   67014400    40.085987
## 2017-08-21 40.177790 40.315478 40.085996 40.232868   27756400    40.232868
## 2017-08-22 40.517420 40.737725 40.480702 40.682648   30935800    40.682648
## 2017-08-23 40.609219 40.912134 40.581678 40.875416   48383900    40.875416
## 2017-08-24 41.059000 41.095717 40.875413 41.003922   52141700    41.003922
## 2017-08-25 41.233403 41.371094 41.159970 41.242584   55530900    41.242584
## 2017-08-28 41.224228 41.224228 41.013104 41.095718   37424900    41.095718
## 2017-08-29 41.095713 41.095713 40.627567 41.022278   45507800    41.022278
## 2017-08-30 40.967205 41.114074 40.939664 41.086533   46687600    41.086533
## 2017-08-31 41.095717 41.242586 41.049822 41.150795   62118300    41.150795
## 2017-09-01 41.316014 41.472064 41.260941 41.453705   55195500    41.453705
## 2017-09-05 41.132436 41.215051 40.701008 40.912132   49130500    40.912132
## 2017-09-06 41.068178 41.224225 41.003920 41.178329   44733800    41.178329
## 2017-09-07 41.380277 41.481247 41.325200 41.481247   39114300    41.481247
## 2017-09-08 41.416992 41.426173 41.132435 41.205868   41973600    41.205868
## 2017-09-11 41.545498 41.784162 41.536321 41.756626   45287800    41.756626
## 2017-09-12 41.756631 41.793346 41.646477 41.710732   49495000    41.710732
## 2017-09-13 41.545494 41.609753 41.398625 41.490421   54758700    41.490421
## 2017-09-14 41.389450 41.618933 41.352732 41.600574   36057900    41.600574
## 2017-09-15 41.674014 41.903497 41.591400 41.848419   47816300    41.848419
## 2017-09-18 42.114625 42.188057 41.940216 41.995293   37633400    41.995293
## 2017-09-19 42.022824 42.096260 41.894314 42.087078   63741000    42.087078
## 2017-09-20 42.105442 42.169697 41.499608 41.894318   78810000    41.894318
## 2017-09-21 41.894318 42.032009 41.802527 41.894318   32668200    41.894318
## 2017-09-22 41.664840 41.738277 41.591408 41.655663   39264300    41.655663
## 2017-09-25 41.306845 41.306845 40.792803 40.948853   85660600    40.948853
## 2017-09-26 41.031463 41.086536 40.774440 40.838699   62892900    40.838699
## 2017-09-27 40.719367 40.801981 40.471525 40.691830   80084700    40.691830
## 2017-09-28 40.480701 40.719366 40.471524 40.664288   54957600    40.664288
## 2017-09-29 40.976389 41.233409 40.893775 41.132439   70546800    41.132439
## 2017-10-02 41.132439 41.334381 41.114080 41.141617   68124300    41.141617
## 2017-10-03 41.472065 41.802520 41.426169 41.793339   54087400    41.793339
## 2017-10-04 41.774983 41.885137 41.729087 41.784164   45574100    41.784164
## 2017-10-05 41.958565 42.215588 41.949387 42.096256   38759200    42.096256
## 2017-10-06 41.710728 41.912673 41.591398 41.885136   44870200    41.885136
## 2017-10-09 41.774987 41.857601 41.701555 41.857601   25022400    41.857601
## 2017-10-10 42.178873 42.298205 42.123795 42.270664   45691800    42.270664
## 2017-10-11 42.261486 42.481788 42.252305 42.463428   48802900    42.463428
## 2017-10-12 42.481786 42.564400 42.408354 42.445072   35546600    42.445072
## 2017-10-13 42.830597 42.913211 42.775519 42.830597   61902200    42.830597
## 2017-10-16 42.940754 42.977472 42.793885 42.803066   34089400    42.803066
## 2017-10-17 42.692911 42.711270 42.500146 42.582760   38828200    42.582760
## 2017-10-18 42.729631 42.821426 42.601121 42.683735   36187200    42.683735
## 2017-10-19 42.243122 42.334914 42.123790 42.307377   51487000    42.307377
## 2017-10-20 42.518506 42.546042 42.389995 42.463428   46370200    42.463428
## 2017-10-23 42.390003 42.399181 42.114625 42.123802   47564000    42.123802
## 2017-10-24 42.206417 42.353284 42.114625 42.123802   40213400    42.123802
## 2017-10-25 42.289028 42.344105 41.701553 42.032009   57309600    42.032009
## 2017-10-26 42.059536 42.142150 41.738262 41.747440   55320500    41.747440
## 2017-10-27 41.967750 42.399175 41.839241 42.353279   55225600    42.353279
## 2017-10-30 42.215592 42.325742 42.032005 42.087078   35732500    42.087078
## 2017-10-31 42.344101 42.481789 42.279846 42.481789   63902300    42.481789
## 2017-11-01 42.867323 43.005010 42.674559 42.702095   51926300    42.702095
## 2017-11-02 42.766349 42.803068 42.555227 42.757172   38024500    42.757172
## 2017-11-03 42.720452 42.738810 42.307383 42.536865   42909900    42.536865
## 2017-11-06 42.738804 43.023360 42.720446 43.014183   30828500    43.014183
## 2017-11-07 42.968293 43.023367 42.674557 42.738811   46904400    42.738811
## 2017-11-08 42.867325 42.968298 42.793889 42.940758   35006300    42.940758
## 2017-11-09 42.647016 42.766348 42.353279 42.674557   39894900    42.674557
## 2017-11-10 42.619480 42.647017 42.399176 42.490971   32484400    42.490971
## 2017-11-13 42.344107 42.490976 42.243134 42.399181   52239700    42.399181
## 2017-11-14 42.325744 42.371639 42.059543 42.114620   56682300    42.114620
## 2017-11-15 41.903500 42.013650 41.719913 41.894318   49000900    41.894318
## 2017-11-16 42.509335 42.894864 42.500153 42.766354   46316400    42.766354
## 2017-11-17 42.894860 43.161060 42.867323 42.977474   46258900    42.977474
## 2017-11-20 42.931576 43.234491 42.913218 43.197777   45493800    43.197777
## 2017-11-21 43.720996 43.950478 43.702637 43.776070   63587700    43.776070
## 2017-11-22 43.913764 43.996378 43.739359 43.886227   60764000    43.886227
## 2017-11-24 43.748534 43.821971 43.702639 43.794430   25838000    43.794430
## 2017-11-27 43.427264 43.445623 43.133527 43.151882   47853200    43.151882
## 2017-11-28 43.500696 43.620028 43.307932 43.473160   54357600    43.473160
## 2017-11-29 43.298748 43.298748 42.683737 42.784710   66269800    42.784710
## 2017-11-30 42.656200 42.665378 42.289027 42.316563  118059300    42.316563
## 2017-12-01 42.206410 42.289024 41.875955 42.077900   88358900    42.077900
## 2017-12-04 42.546044 42.619480 42.123797 42.160515   67381600    42.160515
## 2017-12-05 42.188053 42.417535 42.096262 42.132980   32126400    42.132980
## 2017-12-06 41.416989 41.655653 41.361915 41.563858   81862800    41.563858
## 2017-12-07 41.674016 41.793344 41.352737 41.683193   70820800    41.683193
## 2017-12-08 42.151333 42.224770 41.986110 42.169693   42794900    42.169693
## 2017-12-11 42.399181 42.463435 42.316566 42.380821   46795900    42.380821
## 2017-12-12 41.986105 42.188047 41.912669 42.096256   47157800    42.096256
## 2017-12-13 42.362464 42.738814 42.353282 42.601124   75946200    42.601124
## 2017-12-14 42.463426 42.573580 42.289021 42.289021   50968200    42.289021
## 2017-12-15 42.371644 42.463435 42.160520 42.380821   67881200    42.380821
## 2017-12-18 42.747992 43.005011 42.711274 42.858143   61186100    42.858143
## 2017-12-19 42.929895 42.929895 42.566477 42.631706   51306800    42.631706
## 2017-12-20 42.827388 42.883300 42.678294 42.687614   42832800    42.687614
## 2017-12-21 42.864660 43.116257 42.836705 42.967163   40602200    42.967163
## 2017-12-22 43.134899 43.339902 43.078988 43.330585   40032700    43.330585
## 2017-12-26 43.256037 43.302632 43.106943 43.293312   29614100    43.293312
## 2017-12-27 43.349220 43.461040 43.283992 43.405132   35373200    43.405132
## 2017-12-28 43.805822 43.843096 43.600820 43.703323   34284300    43.703323
## 2017-12-29 44.057412 44.094687 43.852409 43.908318   46485100    43.908318
## 2018-01-02 44.523341 44.793575 44.476750 44.737663   68969400    44.737663
## 2018-01-03 44.998575 45.231535 44.989254 45.166306   56228700    45.166306
## 2018-01-04 45.278130 45.455179 45.259493 45.389950   52154900    45.389950
## 2018-01-05 45.492458 45.790647 45.445866 45.781330   50026900    45.781330
## 2018-01-08 45.716101 45.865196 45.678827 45.781330   36998200    45.781330
## 2018-01-09 45.772012 45.781332 45.501781 45.706783   42131600    45.706783
## 2018-01-10 45.361996 45.511090 45.222219 45.417908   72183900    45.417908
## 2018-01-11 45.352676 45.706777 45.343360 45.697460   38720900    45.697460
## 2018-01-12 45.790646 46.163384 45.669506 46.135426   69358300    46.135426
## 2018-01-16 46.312474 46.452248 45.874508 45.958374   80418000    45.958374
## 2018-01-17 46.312471 46.675888 46.247242 46.564068   65863500    46.564068
## 2018-01-18 46.554751 46.685208 46.489522 46.619980   33947000    46.619980
## 2018-01-19 46.852939 47.002033 46.713164 47.002033   60503700    47.002033
## 2018-01-22 46.974077 47.281586 46.871574 47.272266   49191200    47.272266
## 2018-01-23 47.272268 47.514549 47.197723 47.495911   61277300    47.495911
## 2018-01-24 47.803419 48.008425 47.561142 47.896606   63963100    47.896606
## 2018-01-25 47.943198 48.297298 47.719555 47.868649   61533700    47.868649
## 2018-01-26 48.204112 48.530258 48.092292 48.530258   80566200    48.530258
## 2018-01-29 47.943196 47.999104 47.728873 47.794102   58884200    47.794102
## 2018-01-30 47.281586 47.337494 46.946122 47.141808   87601400    47.141808
## 2018-01-31 47.784783 47.840695 47.188405 47.551823   96654200    47.551823
## 2018-02-01 47.123175 47.384089 46.871577 46.908852   72143800    46.908852
## 2018-02-02 46.424301 46.452255 45.669508 45.706783  116832800    45.706783
## 2018-02-05 45.641547 46.107467 44.104012 44.104012  151202100    44.104012
## 2018-02-06 44.094691 45.921098 43.964234 45.539043  183650300    45.539043
## 2018-02-07 44.728343 45.212900 44.076054 44.104012  156301200    44.104012
## 2018-02-08 44.383562 44.420833 42.519881 42.575790  163250200    42.575790
## 2018-02-09 43.153535 43.591499 41.970098 43.256035  153419800    43.256035
## 2018-02-12 43.871050 44.253105 43.479675 43.936279  104447700    43.936279
## 2018-02-13 44.001509 44.402201 43.954914 44.271740   55739700    44.271740
## 2018-02-14 44.178563 45.492458 44.159925 45.380638   96491500    45.380638
## 2018-02-15 46.182019 46.461571 45.650871 46.312477   95168100    46.312477
## 2018-02-16 45.977014 46.582712 45.967697 46.163383   70876400    46.163383
## 2018-02-20 45.343363 45.688143 45.278134 45.529732   78660300    45.529732
## 2018-02-21 45.939729 46.461562 45.455172 45.492447   66591900    45.492447
## 2018-02-22 45.632229 45.986325 45.483134 45.520405   62436300    45.520405
## 2018-02-23 46.079519 46.349754 45.883833 46.331116   43623300    46.331116
## 2018-02-26 46.452249 46.759758 46.191335 46.759758   51742600    46.759758
## 2018-02-27 46.154062 46.209973 45.399273 45.399273   94671000    45.399273
## 2018-02-28 45.501776 45.557683 44.746983 44.746983  102169900    44.746983
## 2018-03-01 45.073125 45.427225 44.262425 44.663116  112694400    44.663116
## 2018-03-02 44.122645 44.942666 43.899006 44.849483   72756200    44.849483
## 2018-03-05 44.364929 44.998581 44.309017 44.914715   55905400    44.914715
## 2018-03-06 45.669504 45.688142 45.212904 45.334045   57199200    45.334045
## 2018-03-07 45.045174 45.408592 44.840169 45.380638   46554800    45.380638
## 2018-03-08 45.464499 45.511090 45.175628 45.389950   46733900    45.389950
## 2018-03-09 45.762697 46.377711 45.725422 46.359074   58818700    46.359074
## 2018-03-12 46.414970 46.564065 46.228602 46.470879   52944500    46.470879
## 2018-03-13 46.685208 46.759757 45.883828 46.051556   60376000    46.051556
## 2018-03-14 46.396334 46.461562 45.874502 46.126099   51067200    46.126099
## 2018-03-15 46.275200 46.340429 45.790642 45.958374   65778900    45.958374
## 2018-03-16 45.790648 45.986334 45.772011 45.855877   66155800    45.855877
## 2018-03-19 45.557682 45.660185 45.091761 45.361996   65394200    45.361996
## 2018-03-20 45.744052 45.977012 45.641549 45.865192   60101700    45.865192
## 2018-03-21 45.809284 46.312479 45.669506 46.135426   78575100    46.135426
## 2018-03-22 45.073122 45.296765 44.523336 44.597885   87622700    44.597885
## 2018-03-23 44.672433 44.746981 43.675363 43.694000   82908800    43.694000
## 2018-03-26 44.821529 45.166312 44.309017 45.110401   73320800    45.110401
## 2018-03-27 45.147674 45.212902 44.187876 44.290379   84232100    44.290379
## 2018-03-28 44.150608 44.309019 43.768553 44.066742   78140800    44.066742
## 2018-03-29 44.383570 45.147680 44.327659 44.989265   82685500    44.989265
## 2018-04-02 44.681757 44.886759 43.759233 44.178562   72405700    44.178562
## 2018-04-03 44.579253 44.672437 44.225153 44.616528   52874500    44.616528
## 2018-04-04 43.414449 44.663115 43.367858 44.635162   68352400    44.635162
## 2018-04-05 44.812212 44.970623 44.569935 44.746983   48247700    44.746983
## 2018-04-06 44.299698 44.607203 43.610134 43.871052   76156700    43.871052
## 2018-04-09 44.187876 44.411520 43.908325 43.917645   55352700    43.917645
## 2018-04-10 44.560615 44.840166 44.364929 44.774937   87142000    44.774937
## 2018-04-11 44.495386 44.896077 44.486069 44.793575   51569200    44.793575
## 2018-04-12 44.700392 44.905395 44.625843 44.774937   52968500    44.774937
## 2018-04-13 44.737660 44.784255 44.206512 44.327652   56518000    44.327652
## 2018-04-16 44.262428 44.420839 44.122650 44.383568   43005800    44.383568
## 2018-04-17 44.187877 44.607206 44.169243 44.476749   58168100    44.476749
## 2018-04-18 44.644485 45.017222 44.579256 44.858807   80289500    44.858807
## 2018-04-19 44.970618 44.998576 44.448791 44.597885   67581100    44.597885
## 2018-04-20 44.346289 44.374244 43.843094 44.038780   80997700    44.038780
## 2018-04-23 43.954916 44.076056 43.591499 43.684685   74337500    43.684685
## 2018-04-24 44.038781 44.131968 43.265356 43.479679   72196800    43.479679
## 2018-04-25 43.153535 43.246718 42.873980 43.144215   69106800    43.144215
## 2018-04-26 43.395818 43.796509 43.367864 43.768555   45047800    43.768555
## 2018-04-27 44.020147 44.113329 43.768549 44.038780   33545000    44.038780
## 2018-04-30 44.197195 44.253107 43.712637 43.721954   49179000    43.721954
## 2018-05-01 43.461045 43.572865 42.957850 43.507637   75839300    43.507637
## 2018-05-02 43.554224 43.647406 43.125574 43.162849   66837900    43.162849
## 2018-05-03 43.134901 43.190808 42.491928 43.069672   83449200    43.069672
## 2018-05-04 42.650339 43.414448 42.613066 43.265354   60099100    43.265354
## 2018-05-07 42.911253 43.190804 42.883298 43.013756   58886100    43.013756
## 2018-05-08 43.116261 43.274673 42.846027 43.256035   58783600    43.256035
## 2018-05-09 43.386496 43.433088 43.116261 43.339901   46129500    43.339901
## 2018-05-10 43.861731 44.402201 43.787186 44.243786  115804000    44.243786
## 2018-05-11 44.430152 44.476744 44.057415 44.169239   68838600    44.169239
## 2018-05-14 44.411524 44.523344 44.159926 44.225155   34353300    44.225155
## 2018-05-15 43.405133 43.516953 43.125578 43.311947   78379300    43.311947
## 2018-05-16 43.721961 44.048107 43.721961 43.964241   60004200    43.964241
## 2018-05-17 43.488998 43.610138 43.153538 43.293312   73014000    43.293312
## 2018-05-18 42.911252 43.041710 42.808750 42.929890   59258700    42.929890
## 2018-05-21 43.283991 43.367856 43.013756 43.190804   59330200    43.190804
## 2018-05-22 43.377176 43.563545 43.283993 43.339901   32584700    43.339901
## 2018-05-23 42.827388 43.358537 42.818071 43.321266   70687800    43.321266
## 2018-05-24 43.088306 43.172172 42.613065 43.088306   79762900    43.088306
## 2018-05-25 43.078986 43.330583 43.041711 43.265354   39374500    43.265354
## 2018-05-29 42.622387 42.752843 42.044643 42.258965  112089900    42.258965
## 2018-05-30 42.268283 42.641016 42.081914 42.594425   72813800    42.594425
## 2018-05-31 42.538519 42.790112 42.361467 42.575790   92066200    42.575790
## 2018-06-01 42.920575 43.190806 42.864664 43.172173   66762200    43.172173
## 2018-06-04 43.535589 43.712637 43.516952 43.610134   36302900    43.610134
## 2018-06-05 43.479683 43.554232 43.256039 43.274677   40092200    43.274677
## 2018-06-06 43.647413 43.936285 43.554231 43.926964   46801500    43.926964
## 2018-06-07 43.768550 43.815141 42.985804 43.256035   89752500    43.256035
## 2018-06-08 43.023075 43.358538 42.855347 43.172173   73944700    43.172173
## 2018-06-11 43.218764 43.330584 43.106940 43.172173   38323500    43.172173
## 2018-06-12 43.153531 43.209439 42.892614 43.060345   57189800    43.060345
## 2018-06-13 43.134898 43.200127 42.510563 42.771481  100698800    42.771481
## 2018-06-14 42.771485 42.855351 42.436022 42.482613   76094800    42.482613
## 2018-06-15 42.091232 42.203055 41.858272 42.147144   86066000    42.147144
## 2018-06-18 41.550770 41.690548 41.317810 41.634636   83532600    41.634636
## 2018-06-19 40.865531 41.259463 40.715462 41.175049  122657600    41.175049
## 2018-06-20 41.550220 41.606498 41.306361 41.353256   69822800    41.353256
## 2018-06-21 41.100018 41.118777 40.715467 40.771744   86214100    40.771744
## 2018-06-22 41.362633 41.381393 41.053119 41.193806   48711000    41.193806
## 2018-06-25 40.809257 40.856157 40.237125 40.640434  110854500    40.640434
## 2018-06-26 40.659188 40.734225 40.377811 40.480984   69228700    40.480984
## 2018-06-27 40.424704 40.434086 39.580571 39.702503   95340400    39.702503
## 2018-06-28 39.664988 40.058916 39.533679 40.040157  105345300    40.040157
## 2018-06-29 40.556020 40.752984 40.518502 40.640434  108877000    40.640434
## 2018-07-02 39.974499 40.302776 39.890086 40.237122   78848700    40.237122
## 2018-07-03 40.499745 40.537263 40.208986 40.265263   28637200    40.265263
## 2018-07-05 40.377809 40.415327 40.002640 40.162086   67394400    40.162086
## 2018-07-06 40.284016 40.874912 40.255875 40.715462   69933900    40.715462
## 2018-07-09 41.278224 41.456433 41.071883 41.447052   80552700    41.447052
## 2018-07-10 41.315738 41.372016 41.024983 41.353256   63808300    41.353256
## 2018-07-11 40.677947 40.874915 40.387191 40.546638   58679200    40.546638
## 2018-07-12 41.043736 41.193805 40.893668 41.100014   53833300    41.100014
## 2018-07-13 41.053119 41.221947 40.912428 41.128151   40515300    41.128151
## 2018-07-16 40.931185 40.987463 40.752980 40.903049   31717300    40.903049
## 2018-07-17 40.743600 41.278218 40.696704 41.203186   46911500    41.203186
## 2018-07-18 40.978084 41.193806 40.856155 41.156292   41182100    41.156292
## 2018-07-19 40.518498 40.828012 40.387188 40.649807   72549300    40.649807
## 2018-07-20 41.053122 41.306363 41.024986 41.231327   75114300    41.231327
## 2018-07-23 41.043742 41.062501 40.828019 40.959328   57679100    40.959328
## 2018-07-24 41.634633 41.803461 41.437669 41.559601   66639400    41.559601
## 2018-07-25 41.831599 42.263049 41.719049 42.234909   77820500    42.234909
## 2018-07-26 41.878496 42.000424 41.737805 41.765942   68705800    41.765942
## 2018-07-27 42.075454 42.159867 41.690903 41.916004   63743400    41.916004
## 2018-07-30 42.009807 42.075462 41.728429 41.850357   41541400    41.850357
## 2018-07-31 41.850361 42.141120 41.747188 42.075466   88217500    42.075466
## 2018-08-01 41.709668 41.916010 41.587737 41.700287   61755000    41.700287
## 2018-08-02 40.846771 41.212563 40.762357 41.146908   68678600    41.146908
## 2018-08-03 41.287600 41.512700 41.240704 41.465805   41043800    41.465805
## 2018-08-06 41.165667 41.287598 41.053116 41.146908   33153800    41.146908
## 2018-08-07 41.625258 41.784704 41.550221 41.568981   38719500    41.568981
## 2018-08-08 41.484567 41.568981 41.353257 41.512703   30610200    41.512703
## 2018-08-09 41.568975 41.662766 41.362629 41.390770   35013900    41.390770
## 2018-08-10 40.462221 40.640430 40.377807 40.509117   86629900    40.509117
## 2018-08-13 40.133948 40.227739 39.740016 39.843189   75183500    39.843189
## 2018-08-14 39.993263 40.199609 39.918231 40.087059   56724600    40.087059
## 2018-08-15 38.961544 39.120990 38.576993 38.933403  138633600    38.933403
## 2018-08-16 39.317945 39.496155 39.158499 39.177258   78123900    39.177258
## 2018-08-17 39.036573 39.683746 38.942781 39.589951   76030400    39.589951
## 2018-08-20 39.683736 39.805664 39.552423 39.768150   50762900    39.768150
## 2018-08-21 40.171463 40.434082 40.143322 40.274632   70462300    40.274632
## 2018-08-22 40.312155 40.659187 40.312155 40.593533   45602900    40.593533
## 2018-08-23 40.452845 40.574772 39.890086 39.936985   68878400    39.936985
## 2018-08-24 40.537261 40.706089 40.405952 40.677948   69304200    40.677948
## 2018-08-27 41.053118 41.418910 41.043737 41.259464   96574800    41.259464
## 2018-08-28 41.372013 41.437667 41.024980 41.109394   50093400    41.109394
## 2018-08-29 41.015597 41.381389 40.931183 41.362629   58165600    41.362629
## 2018-08-30 40.724847 40.724847 40.143332 40.284023  120206400    40.284023
## 2018-08-31 40.227741 40.621673 40.180846 40.490360   88660500    40.490360
## 2018-09-04 39.852572 39.852572 39.608708 39.702503   76724700    39.702503
## 2018-09-05 39.242917 39.308572 39.008435 39.130367   77835800    39.130367
## 2018-09-06 39.205399 39.308572 38.905263 39.167881   73104400    39.167881
## 2018-09-07 39.045957 39.336713 38.820852 38.970921   61590700    38.970921
## 2018-09-10 38.961538 38.961538 38.539470 38.586365   61116600    38.586365
## 2018-09-11 38.211197 38.680161 38.108024 38.670780   74608700    38.670780
## 2018-09-12 38.492575 39.102226 38.351883 38.867744  116612700    38.867744
## 2018-09-13 39.449263 39.655605 39.214781 39.392986   96306500    39.392986
## 2018-09-14 39.608707 39.655602 39.167878 39.355465   65202700    39.355465
## 2018-09-17 39.064717 39.214785 38.942784 38.999062   74603900    38.999062
## 2018-09-18 39.186635 39.439876 39.177257 39.374222   52000700    39.374222
## 2018-09-19 39.702505 39.965124 39.693124 39.918228   55892400    39.918228
## 2018-09-20 40.265255 40.387187 40.040151 40.359047   93427400    40.359047
## 2018-09-21 40.415328 40.612292 40.359051 40.546638  102750700    40.546638
## 2018-09-24 40.077678 40.133954 39.946368 40.087059   54411700    40.087059
## 2018-09-25 40.152710 40.340293 40.105811 40.246502   49467000    40.246502
## 2018-09-26 40.312158 40.809259 40.274640 40.330917   84080400    40.330917
## 2018-09-27 40.452846 40.659187 40.415328 40.527878   45547200    40.527878
## 2018-09-28 40.227741 40.471605 40.124569 40.255878   64732800    40.255878
## 2018-10-01 40.452850 40.480987 40.171472 40.265263   31030500    40.265263
## 2018-10-02 39.740019 39.955742 39.636846 39.758778   57719700    39.758778
## 2018-10-03 40.040151 40.068291 39.317946 39.430500   76571200    39.430500
## 2018-10-04 39.027198 39.036575 38.276855 38.445683  132360900    38.445683
## 2018-10-05 38.464435 38.530094 37.948575 38.304989   80578500    38.304989
## 2018-10-08 38.042366 38.445677 37.967331 38.361263   59744400    38.361263
## 2018-10-09 38.051754 38.417545 37.920444 38.220581   60976800    38.220581
## 2018-10-10 38.023614 38.032992 37.076305 37.085686   99036700    37.085686
## 2018-10-11 36.879338 37.273270 36.363477 36.710510  168923800    36.710510
## 2018-10-12 37.760990 37.854786 37.273271 37.789131  116892100    37.789131
## 2018-10-15 37.460847 37.648433 37.310779 37.385815   52651000    37.385815
## 2018-10-16 37.854782 38.361264 37.789127 38.323746   65949500    38.323746
## 2018-10-17 38.032986 38.061127 37.667195 37.854782   69718700    37.854782
## 2018-10-18 37.451476 37.479613 36.729271 36.860580  107005100    36.860580
## 2018-10-19 37.432712 37.667194 37.123197 37.207607   81176200    37.207607
## 2018-10-22 37.836021 37.911053 37.442089 37.610916   67724900    37.610916
## 2018-10-23 36.719893 37.413958 36.513547 37.198235   89864600    37.198235
## 2018-10-24 37.010649 37.057544 35.978929 35.997688   87632500    35.997688
## 2018-10-25 36.410375 36.944994 36.307202 36.691753   80961600    36.691753
## 2018-10-26 35.932033 36.551065 35.772583 36.269684  139198800    36.269684
## 2018-10-29 36.588579 36.644856 35.247345 35.641273  102322800    35.641273
## 2018-10-30 35.856997 36.344719 35.781964 36.335342   99881500    36.335342
## 2018-10-31 36.729263 36.944986 36.579195 36.729263   92768300    36.729263
## 2018-11-01 37.310788 38.070511 37.104446 38.042374  120482200    38.042374
## 2018-11-02 38.689533 38.830224 37.901673 38.286224  111324700    38.286224
## 2018-11-05 38.276850 38.473814 38.183055 38.389400   58319600    38.389400
## 2018-11-06 38.201814 38.389400 38.117400 38.323746   40847800    38.323746
## 2018-11-07 38.839607 39.111607 38.595747 39.045952   81011500    39.045952
## 2018-11-08 38.539472 38.670782 37.911058 38.032990   90610900    38.032990
## 2018-11-09 37.451476 37.498372 37.038789 37.329544   82943700    37.329544
## 2018-11-12 37.207607 37.273266 36.710506 36.804302   68569700    36.804302
## 2018-11-13 37.160717 37.592167 36.991890 37.226372  106305600    37.226372
## 2018-11-14 37.573409 37.695337 37.113823 37.451477   96621100    37.451477
## 2018-11-15 37.648432 38.501947 37.573400 38.286224  146475800    38.286224
## 2018-11-16 37.976712 38.558227 37.864158 38.361263  135075800    38.361263
## 2018-11-19 38.098648 38.154924 37.742238 37.845406   77777300    37.845406
## 2018-11-20 37.254508 37.432713 36.898094 37.029404   98272800    37.029404
## 2018-11-21 37.714096 37.967338 37.639064 37.714096   68104600    37.714096
## 2018-11-23 37.273266 37.470230 37.245125 37.273266   32048200    37.273266
## 2018-11-26 37.798499 37.911049 37.592158 37.732845   76320100    37.732845
## 2018-11-27 37.601540 37.995468 37.545263 37.995468   81069100    37.995468
## 2018-11-28 38.258092 38.933398 37.957955 38.905262  121010900    38.905262
## 2018-11-29 38.633259 38.830227 38.380017 38.567604  104239600    38.567604
## 2018-11-30 38.417536 38.614500 38.267467 38.530090   92961200    38.530090
## 2018-12-03 39.514916 39.533676 39.111607 39.308571  125024100    39.308571
## 2018-12-04 39.346094 39.411748 38.380025 38.473820  134758200    38.473820
## 2018-12-06 37.451473 38.154919 37.216991 38.117401  165155100    38.117401
## 2018-12-07 38.061126 38.314362 37.310780 37.404575  134304600    37.404575
## 2018-12-10 37.151338 37.216992 36.551064 37.010647  104465300    37.010647
## 2018-12-11 37.535893 37.545272 37.029412 37.292030  104014700    37.292030
## 2018-12-12 37.986094 38.248713 37.873543 37.901680   89712200    37.901680
## 2018-12-13 38.042371 38.154921 37.845403 37.892303   72445400    37.892303
## 2018-12-14 37.413954 37.685954 37.329540 37.357681   94915600    37.357681
## 2018-12-17 37.413956 37.554647 36.888719 37.010647  109276200    37.010647
## 2018-12-18 37.290538 37.490464 37.157256 37.261978  102509800    37.261978
## 2018-12-19 37.442861 37.823666 36.338517 36.643166  204046200    36.643166
## 2018-12-20 37.014458 37.252462 36.614608 36.928776  183908800    36.928776
## 2018-12-21 37.033495 37.233417 36.481322 36.671726  143673400    36.671726
## 2018-12-24 36.595563 36.862130 36.328999 36.328999   50709500    36.328999
## 2018-12-26 36.567005 37.090614 36.214759 37.052532   96347200    37.052532
## 2018-12-27 36.557486 37.043014 36.405164 37.004932   81792700    37.004932
## 2018-12-28 37.309578 37.566623 37.128696 37.357182   72869100    37.357182
## 2018-12-31 37.604709 37.642791 37.062059 37.185822   72972200    37.185822
## 2019-01-02 36.738371 37.309581 36.728853 37.281021   57198800    37.281021
## 2019-01-03 36.871651 36.900210 36.462282 36.605087   62767600    36.605087
## 2019-01-04 37.138214 37.947432 37.052532 37.785587  103055100    37.785587
## 2019-01-07 37.814154 38.033118 37.595191 37.871273   76597000    37.871273
## 2019-01-08 37.890306 38.080710 37.671343 38.014069   70518200    38.014069
## 2019-01-09 38.404402 38.899452 38.394883 38.690006  125118800    38.690006
## 2019-01-10 38.480560 38.994651 38.480560 38.966091   85207600    38.966091
## 2019-01-11 38.651924 38.842328 38.556724 38.775688   63136200    38.775688
## 2019-01-14 38.280640 38.632889 38.213999 38.452003   76217000    38.452003
## 2019-01-15 38.670967 38.928012 38.604326 38.718567   78913000    38.718567
## 2019-01-16 38.994653 39.327861 38.985135 39.194576   82543600    39.194576
## 2019-01-17 38.880409 39.556341 38.842327 39.365936   85522800    39.365936
## 2019-01-18 39.527783 39.718188 39.432580 39.556343   98168900    39.556343
## 2019-01-22 39.089858 39.175541 38.699532 38.870895  101294900    38.870895
## 2019-01-23 39.232659 39.299301 38.937537 39.270741   66625200    39.270741
## 2019-01-24 39.299297 39.680105 39.299297 39.651546   76076900    39.651546
## 2019-01-25 40.079951 40.279878 40.022833 40.175156  105779500    40.175156
## 2019-01-28 39.575386 39.784831 39.451623 39.756268   85543100    39.756268
## 2019-01-29 39.956192 39.975233 39.727706 39.822910   56518900    39.822910
## 2019-01-30 40.060911 40.774925 39.870507 40.689243  127796800    40.689243
## 2019-01-31 40.736840 41.070045 40.727318 41.031963  119929200    41.031963
## 2019-02-01 40.727323 40.784445 40.584523 40.708282   65766100    40.708282
## 2019-02-04 40.584520 40.889166 40.498839 40.774925   45770200    40.774925
## 2019-02-05 40.965327 41.374695 40.898686 41.336613   81720100    41.336613
## 2019-02-06 41.146211 41.174771 40.689243 40.774925   58194900    40.774925
## 2019-02-07 40.451237 40.660678 40.013306 40.365555  101061400    40.365555
## 2019-02-08 40.070433 40.203715 39.841947 40.137074   64212200    40.137074
## 2019-02-11 40.213234 40.232270 39.984748 40.003788   42213400    40.003788
## 2019-02-12 40.336998 40.508361 40.279879 40.336998   66073100    40.336998
## 2019-02-13 40.356037 40.432200 39.956191 40.051392   82318100    40.051392
## 2019-02-14 39.813388 40.270356 39.737229 40.127556   91302500    40.127556
## 2019-02-15 40.108513 40.108513 39.937149 40.070431   72362200    40.070431
## 2019-02-19 39.918111 40.470280 39.918111 40.384598   64391100    40.384598
## 2019-02-20 40.603565 40.870128 40.498842 40.613083   73694800    40.613083
## 2019-02-21 40.584523 40.622601 40.336996 40.527401   48092400    40.527401
## 2019-02-22 40.870131 41.089095 40.784449 40.974854   58022200    40.974854
## 2019-02-25 41.431812 41.631736 41.336608 41.431812   66533800    41.431812
## 2019-02-26 41.146212 41.431817 41.117650 41.289013   58330600    41.289013
## 2019-02-27 41.022453 41.089094 40.793966 40.936771   69471200    40.936771
## 2019-02-28 40.670204 40.689245 40.403637 40.403637   87434700    40.403637
## 2019-03-01 40.727326 40.755889 40.375081 40.451244   94263900    40.451244
## 2019-03-04 40.670203 40.727322 40.156112 40.508358   94168300    40.508358
## 2019-03-05 40.698766 40.974852 40.613084 40.908211   54576700    40.908211
## 2019-03-06 40.927249 40.984367 40.613081 40.679722   61237800    40.679722
## 2019-03-07 40.441719 40.451241 39.860987 39.927628   83415300    39.927628
## 2019-03-08 39.451625 39.680111 39.404024 39.642029   97742100    39.642029
## 2019-03-11 39.994271 40.432202 39.994271 40.384598   63002300    40.384598
## 2019-03-12 40.594040 40.698763 40.517880 40.594040   42726900    40.594040
## 2019-03-13 40.613084 40.698766 40.508361 40.641644   61450000    40.641644
## 2019-03-14 40.479802 40.498843 40.260839 40.422680   58460400    40.422680
## 2019-03-15 40.793960 41.070046 40.765401 41.012928  139870800    41.012928
## 2019-03-18 41.308053 41.488939 41.250935 41.469898   42149100    41.469898
## 2019-03-19 41.517501 41.641264 41.393737 41.488941   53192700    41.488941
## 2019-03-20 41.355657 41.898307 41.070052 41.555584   90678800    41.555584
## 2019-03-21 41.336612 41.622220 41.241412 41.612698   71400600    41.612698
## 2019-03-22 40.984365 41.079570 40.356033 40.394115  118616600    40.394115
## 2019-03-25 40.308437 40.613082 40.270355 40.489319   53285300    40.489319
## 2019-03-26 40.622601 40.727324 40.394119 40.613083   57145800    40.613083
## 2019-03-27 40.403638 40.489320 40.041873 40.175156   72804300    40.175156
## 2019-03-28 40.308433 40.489315 40.165629 40.441715   41052500    40.441715
## 2019-03-29 40.889170 40.936770 40.670206 40.860607   70439100    40.860607
## 2019-04-01 41.412778 41.574619 41.317578 41.536541   70455500    41.536541
## 2019-04-02 41.574614 41.593656 41.269969 41.403255   48692200    41.403255
## 2019-04-03 41.803103 42.022066 41.631740 41.688862   73639400    41.688862
## 2019-04-04 41.679341 42.022068 41.660300 41.945908   47028400    41.945908
## 2019-04-05 42.060150 42.288633 42.022068 42.269596   50360800    42.269596
## 2019-04-08 42.060150 42.307674 41.993510 42.269596   30209000    42.269596
## 2019-04-09 42.298155 42.326715 42.145832 42.183914   49530300    42.183914
## 2019-04-10 42.364795 42.498076 42.279113 42.383835   51143400    42.383835
## 2019-04-11 42.079191 42.107750 41.812623 41.926868   55153600    41.926868
## 2019-04-12 42.345751 42.383832 42.136305 42.231510   54695700    42.231510
## 2019-04-15 42.193429 42.212470 41.850702 42.012547   37957800    42.012547
## 2019-04-16 42.193432 42.383836 42.193432 42.326714   43860100    42.326714
## 2019-04-17 42.621841 42.688482 42.345756 42.450478   56935400    42.450478
## 2019-04-18 42.298154 42.507600 42.174390 42.421917   56639800    42.421917
## 2019-04-22 42.022069 42.193433 41.945909 42.145832   35929100    42.145832
## 2019-04-23 42.079191 42.317195 42.031591 42.241032   32829900    42.241032
## 2019-04-24 41.955428 41.964950 41.536541 41.669823   68961600    41.669823
## 2019-04-25 41.412775 41.622220 41.289012 41.612698   61168500    41.612698
## 2019-04-26 41.679340 41.850704 41.546058 41.774544   55441700    41.774544
## 2019-04-29 41.888786 41.936386 41.774544 41.860226   34398300    41.860226
## 2019-04-30 41.745981 41.917345 41.536540 41.822144   69577000    41.822144
## 2019-05-01 41.898304 42.221990 41.450859 41.507977   98629100    41.507977
## 2019-05-02 41.603184 41.745984 41.365180 41.603184   53101500    41.603184
## 2019-05-03 41.907821 42.155344 41.850698 42.098225   56642000    42.098225
## 2019-05-06 40.784446 41.308055 40.736846 41.231895   80977000    41.231895
## 2019-05-07 40.803489 40.803489 40.184676 40.422680   94189000    40.422680
## 2019-05-08 40.536918 40.708278 40.346514 40.365555   73548600    40.365555
## 2019-05-09 39.461139 39.918107 39.175535 39.727703  130849000    39.727703
## 2019-05-10 39.841946 40.089473 39.356419 39.965710   90343300    39.965710
## 2019-05-13 38.728089 38.908971 38.442484 38.632889  154670900    38.632889
## 2019-05-14 39.156496 39.318337 39.013692 39.175537   89406800    39.175537
## 2019-05-15 38.937537 39.327863 38.880414 39.251701   79039500    39.251701
## 2019-05-16 39.194573 39.432577 39.042250 39.061291   60101000    39.061291
## 2019-05-17 38.413922 38.680490 38.318722 38.356804   83972200    38.356804
## 2019-05-20 38.242558 38.366321 38.052157 38.194958   53810000    38.194958
## 2019-05-21 38.452003 38.690007 38.356803 38.680489   59832600    38.680489
## 2019-05-22 38.632887 38.670964 38.452000 38.490082   44117200    38.490082
## 2019-05-23 37.966469 38.156874 37.842706 37.995029   86731100    37.995029
## 2019-05-24 38.290157 38.337757 37.995030 38.033112   66379700    38.033112
## 2019-05-28 38.432961 38.480561 38.090234 38.166397   98395200    38.166397
## 2019-05-29 38.014072 38.432959 37.966472 38.413918   82060400    38.413918
## 2019-05-30 38.537685 38.775690 38.509126 38.623367   69626300    38.623367
## 2019-05-31 38.442485 38.851853 38.413922 38.756649   85220400    38.756649
## 2019-06-03 39.080331 39.318335 39.004171 39.108894   75619900    39.108894
## 2019-06-04 38.947053 39.223139 38.861372 39.194576   64141900    39.194576
## 2019-06-05 39.242177 39.261218 38.775687 38.880409   64072200    38.880409
## 2019-06-06 38.880411 38.985134 38.737607 38.899452   47722500    38.899452
## 2019-06-07 39.108902 39.527788 39.089861 39.204102   63584200    39.204102
## 2019-06-10 39.565863 39.803868 39.480181 39.613464   57245800    39.613464
## 2019-06-11 40.127554 40.194195 39.946668 40.060913   69040600    40.060913
## 2019-06-12 39.775305 39.803867 39.556341 39.632504   55120600    39.632504
## 2019-06-13 39.689625 39.756266 39.442102 39.565865   59717500    39.565865
## 2019-06-14 39.308820 39.327861 39.108897 39.127934   71468300    39.127934
## 2019-06-17 39.157676 39.359123 39.157676 39.282383   48715600    39.282383
## 2019-06-18 39.714053 40.318394 39.704457 40.232059  112482400    40.232059
## 2019-06-19 40.308804 40.769257 40.212875 40.567810  105746200    40.567810
## 2019-06-20 41.421565 41.450342 40.999485 41.162560   89200400    41.162560
## 2019-06-21 40.999487 41.124190 40.932333 41.028263   55544000    41.028263
## 2019-06-24 41.009075 41.076224 40.932331 40.970703   37025600    40.970703
## 2019-06-25 40.807632 40.855595 40.491068 40.548626   62167500    40.548626
## 2019-06-26 40.865182 41.076224 40.836405 40.932331   45126700    40.932331
## 2019-06-27 41.105003 41.239305 41.037855 41.220119   42358200    41.220119
## 2019-06-28 41.220118 41.248895 41.037853 41.162560   66235700    41.162560
## 2019-07-01 41.920391 41.958763 41.498307 41.651791   73169000    41.651791
## 2019-07-02 41.613421 41.642199 41.431157 41.546272   67518700    41.546272
## 2019-07-03 41.354416 41.469528 41.296857 41.469528   31218500    41.469528
## 2019-07-05 41.181747 41.277674 40.970705 41.181747   51678000    41.181747
## 2019-07-08 40.893963 40.989890 40.826813 40.932331   37679000    40.932331
## 2019-07-09 40.606182 40.855592 40.596587 40.807629   28227600    40.807629
## 2019-07-10 41.220117 41.373602 41.114597 41.152969   53673100    41.152969
## 2019-07-11 41.296854 41.296854 40.961109 41.076221   44486100    41.076221
## 2019-07-12 41.114599 41.143375 40.941928 41.105003   30512200    41.105003
## 2019-07-15 41.277670 41.344819 41.220116 41.258484   28026300    41.258484
## 2019-07-16 41.306452 41.421565 41.162560 41.200932   37093700    41.200932
## 2019-07-17 41.181741 41.258482 41.028257 41.076221   32865600    41.076221
## 2019-07-18 41.057038 41.373601 41.037852 41.325638   63374400    41.325638
## 2019-07-19 41.440751 41.459937 41.076225 41.114597   81774700    41.114597
## 2019-07-22 41.220117 41.277671 41.095410 41.124187   29826200    41.124187
## 2019-07-23 41.172153 41.268083 41.009078 41.172153   37246400    41.172153
## 2019-07-24 41.124191 41.268083 41.124191 41.239307   40358800    41.239307
## 2019-07-25 41.152970 41.354417 40.798035 40.874779   55327700    40.874779
## 2019-07-26 41.037853 41.076225 40.846001 40.961113   33068600    40.961113
## 2019-07-29 40.826814 40.913150 40.682922 40.884369   31912400    40.884369
## 2019-07-30 40.567810 40.625364 40.443103 40.567810   57335800    40.567810
## 2019-07-31 40.548623 40.577401 39.598938 40.068985   98764700    40.068985
## 2019-08-01 40.078581 40.385548 39.176862 39.282383  139325900    39.282383
## 2019-08-02 39.128894 39.215229 38.783554 38.898666   92796300    38.898666
## 2019-08-05 37.824277 37.901017 37.267895 37.459751  131194100    37.459751
## 2019-08-06 38.102468 38.188803 37.747533 37.996948   88071500    37.996948
## 2019-08-07 37.613235 38.188803 37.459750 38.169617  106772500    38.169617
## 2019-08-08 38.409440 38.658850 38.313510 38.639664   81187700    38.639664
## 2019-08-09 38.399841 38.457399 38.083282 38.246357   64704000    38.246357
## 2019-08-12 37.766718 37.910611 37.680384 37.785904   78559800    37.785904
## 2019-08-13 37.498121 38.476584 37.430971 38.265541  110271800    38.265541
## 2019-08-14 37.498121 37.594048 37.143190 37.162376  102911500    37.162376
## 2019-08-15 37.507711 37.565269 37.229523 37.411785   78018300    37.411785
## 2019-08-16 37.757128 38.083282 37.757128 37.929798   52047900    37.929798
## 2019-08-19 38.409436 38.419027 38.054501 38.083282   43330900    38.083282
## 2019-08-20 38.207994 38.342291 38.112064 38.160027   44920900    38.160027
## 2019-08-21 38.562920 38.562920 38.342286 38.524548   39677100    38.524548
## 2019-08-22 38.236769 38.294323 37.920206 38.025726   41603000    38.025726
## 2019-08-23 37.939389 38.294321 37.402197 37.459751   80560300    37.459751
## 2019-08-26 37.728351 37.776314 37.565272 37.661198   58145000    37.661198
## 2019-08-27 37.920204 38.054502 37.699571 37.728352   62899100    37.728352
## 2019-08-28 37.661199 37.901018 37.565273 37.833870   49483900    37.833870
## 2019-08-29 38.073687 38.284728 37.939388 38.255951   43359900    38.255951
## 2019-08-30 38.572515 38.582109 38.332695 38.553329   57071300    38.553329
## 2019-09-03 38.112060 38.323102 38.112060 38.313507   50339600    38.313507
## 2019-09-04 38.841114 39.004189 38.754779 38.956226   65958900    38.956226
## 2019-09-05 39.416677 39.541383 39.378305 39.397491   72704000    39.397491
## 2019-09-06 39.618127 39.704462 39.522201 39.570164   48716200    39.570164
## 2019-09-09 39.675684 39.809982 39.570163 39.694870   38554200    39.694870
## 2019-09-10 39.656499 39.800392 39.493420 39.723648   48449600    39.723648
## 2019-09-11 39.867536 40.030612 39.800388 40.001835   62563900    40.001835
## 2019-09-12 40.260846 40.529442 40.116953 40.289623   74590100    40.289623
## 2019-09-13 40.529435 40.625361 40.443100 40.519844   58403500    40.519844
## 2019-09-16 40.203285 40.395141 40.107358 40.203285   62905800    40.203285
## 2019-09-17 39.838759 40.232062 39.809982 40.203285   98835700    40.203285
## 2019-09-18 40.136137 40.193695 39.723648 40.040211   70984700    40.040211
## 2019-09-19 40.040211 40.174509 39.809983 39.877132   52527900    39.877132
## 2019-09-20 40.174506 40.222469 39.752422 39.915501   84880500    39.915501
## 2019-09-23 39.723648 39.973058 39.723648 39.953876   41828800    39.953876
## 2019-09-24 39.934690 39.944281 39.493420 39.531792   57006500    39.531792
## 2019-09-25 39.272790 39.589352 39.128900 39.503017   43393200    39.503017
## 2019-09-26 39.570164 39.618127 39.378308 39.493420   37645800    39.493420
## 2019-09-27 39.493420 39.589349 38.841115 38.985004   79236200    38.985004
## 2019-09-30 39.311160 39.426272 39.157676 39.205639   43961000    39.205639
## 2019-10-01 39.234417 39.244007 38.898667 38.927448   48520000    38.927448
## 2019-10-02 38.639666 38.697223 38.438219 38.630074   41806300    38.630074
## 2019-10-03 38.764369 39.128895 38.658848 39.128895   62287700    39.128895
## 2019-10-04 39.013781 39.378307 38.975413 39.301567   54314800    39.301567
## 2019-10-07 39.061749 39.263196 38.946633 38.975414   57065700    38.975414
## 2019-10-08 38.898671 38.946634 38.668447 38.697224   57784200    38.697224
## 2019-10-09 39.013780 39.148081 38.946630 38.994598   41122500    38.994598
## 2019-10-10 39.138485 39.560570 39.128895 39.397491   49289100    39.397491
## 2019-10-11 40.001836 40.337581 39.934686 40.030613   95248800    40.030613
## 2019-10-14 39.982651 40.040209 39.848353 39.857944   29228200    39.857944
## 2019-10-15 39.973056 40.299210 39.953874 40.212875   50663000    40.212875
## 2019-10-16 40.174507 40.366363 40.088172 40.327991   40768400    40.327991
## 2019-10-17 40.644551 40.663737 40.423917 40.481476   56380200    40.481476
## 2019-10-18 40.395139 40.500659 40.164911 40.270432   78858900    40.270432
## 2019-10-21 40.443100 40.644547 40.385541 40.634956   38432200    40.634956
## 2019-10-22 40.663738 40.807631 40.606184 40.663738   53409500    40.663738
## 2019-10-23 40.500657 40.721291 40.471877 40.673328   43342700    40.673328
## 2019-10-24 40.845998 40.855589 40.644547 40.673328   61391900    40.673328
## 2019-10-25 40.673331 40.989890 40.654144 40.961113   49443700    40.961113
## 2019-10-28 41.152969 41.306452 41.133783 41.200932   56279100    41.200932
## 2019-10-29 40.989891 41.114598 40.951519 40.989891   33949800    40.989891
## 2019-10-30 40.893966 41.172153 40.721296 41.172153   60881000    41.172153
## 2019-10-31 41.018670 41.028265 40.634962 40.846004   56057700    40.846004
## 2019-11-01 41.277670 41.488711 41.258483 41.459934   72772400    41.459934
## 2019-11-04 41.987540 42.035504 41.805280 41.872429   62191600    41.872429
## 2019-11-05 42.121835 42.150612 41.920388 42.112244   62354500    42.112244
## 2019-11-06 42.083461 42.121833 41.843642 41.977940   61670500    41.977940
## 2019-11-07 42.294507 42.447991 42.236949 42.284916   97598200    42.284916
## 2019-11-08 41.949167 42.045096 41.814868 41.901203   68666900    41.901203
## 2019-11-11 41.383191 41.651788 41.344819 41.603825   47092800    41.603825
## 2019-11-12 41.498307 41.517494 41.258488 41.335232   57453500    41.335232
## 2019-11-13 40.922743 41.095413 40.865185 41.018669   63134600    41.018669
## 2019-11-14 40.980298 41.105001 40.836405 41.047447   48737400    41.047447
## 2019-11-15 41.316042 41.459935 41.277670 41.373600   67670700    41.373600
## 2019-11-18 41.383190 41.459934 41.268078 41.306450   52545500    41.306450
## 2019-11-19 41.613421 41.613421 41.335229 41.392788   40853600    41.392788
## 2019-11-20 41.248894 41.402378 41.037852 41.210522   51991800    41.210522
## 2019-11-21 41.047447 41.143373 40.941925 41.124187   43842600    41.124187
## 2019-11-22 41.200931 41.239303 41.028260 41.124187   23519900    41.124187
## 2019-11-25 41.383194 41.575050 41.344822 41.536678   57048200    41.536678
## 2019-11-26 41.306450 41.431154 41.143372 41.411968   49571200    41.411968
## 2019-11-27 41.335227 41.479120 41.258483 41.459934   30402300    41.459934
## 2019-11-29 40.903555 40.980299 40.807629 40.807629   35476600    40.807629
## 2019-12-02 40.932333 40.941927 40.644551 40.798035   59762300    40.798035
## 2019-12-03 40.443102 40.596586 40.260840 40.586994   50471700    40.586994
## 2019-12-04 40.893967 40.961116 40.836409 40.893967   47026100    40.893967
## 2019-12-05 40.980294 41.133779 40.913146 41.076221   43346400    41.076221
## 2019-12-06 41.316048 41.373606 41.229713 41.316048   56766600    41.316048
## 2019-12-09 41.277672 41.411970 41.133783 41.152969   37622000    41.152969
## 2019-12-10 41.239306 41.383195 41.162562 41.296860   34791300    41.296860
## 2019-12-11 41.527086 41.939575 41.507900 41.901203   60083200    41.901203
## 2019-12-12 42.025911 42.687811 41.987539 42.630253  132196700    42.630253
## 2019-12-13 42.735772 43.042740 42.495953 42.611065  160526800    42.611065
## 2019-12-16 43.001998 43.119569 42.933415 42.972607   81828000    42.972607
## 2019-12-17 43.305730 43.413504 43.227347 43.364513   79046200    43.364513
## 2019-12-18 43.560459 43.609447 43.462485 43.599651   67065000    43.599651
## 2019-12-19 43.462489 43.629048 43.433097 43.619251   59364600    43.619251
## 2019-12-20 43.668240 43.766215 43.599657 43.707432   69295600    43.707432
## 2019-12-23 43.687833 43.766212 43.638845 43.766212   29479500    43.766212
## 2019-12-24 43.678036 43.717223 43.580057 43.668236   18951500    43.668236
## 2019-12-26 43.834804 44.001362 43.815207 43.981766   24947900    43.981766
## 2019-12-27 44.265897 44.285494 44.040552 44.158123   48407900    44.158123
## 2019-12-30 44.265898 44.265898 43.805406 43.864193   44522800    43.864193
## 2019-12-31 43.893586 44.011157 43.776015 43.962170   47292800    43.962170
## 2020-01-02 44.442256 44.853756 44.432455 44.853756   78570100    44.853756
## 2020-01-03 44.118930 44.344275 44.001359 44.020954   78998200    44.020954
## 2020-01-06 43.697630 43.962168 43.687834 43.913181   40085300    43.913181
## 2020-01-07 43.883789 43.991564 43.785810 43.883789   65705300    43.883789
## 2020-01-08 43.825002 44.383469 43.785811 44.138527   86913300    44.138527
## 2020-01-09 44.559825 44.559825 44.344274 44.432453   53199900    44.432453
## 2020-01-10 44.716590 44.843961 44.608816 44.667603   67573300    44.667603
## 2020-01-13 44.981127 45.382831 44.883151 45.363235   79593800    45.363235
## 2020-01-14 45.098698 45.137890 44.892948 45.108498   75746900    45.108498
## 2020-01-15 44.941938 44.990925 44.687200 44.755783   60620600    44.755783
## 2020-01-16 45.049710 45.108497 44.902747 45.039913   50712700    45.039913
## 2020-01-17 45.186876 45.324042 45.079100 45.294651   72382100    45.294651
## 2020-01-21 44.354073 44.432453 44.118928 44.148323  106662600    44.148323
## 2020-01-22 44.638212 44.657808 44.383470 44.510841   57584900    44.510841
## 2020-01-23 43.815208 44.187516 43.580063 44.050350   88714300    44.050350
## 2020-01-24 44.109136 44.118933 43.491882 43.697632   88654500    43.697632
## 2020-01-27 41.875264 44.060145 41.796881 42.188789  129321800    42.188789
## 2020-01-28 42.345553 42.619887 42.159396 42.541504   82396700    42.541504
## 2020-01-29 42.874624 42.904020 42.619886 42.747257   51814700    42.747257
## 2020-01-30 41.796883 42.159396 41.571537 42.110409  105864200    42.110409
## 2020-01-31 41.444165 41.473561 41.032664 41.258011   99532200    41.258011
## 2020-02-03 41.414772 41.816477 41.404972 41.718502   71309200    41.718502
## 2020-02-04 42.796249 43.041191 42.766858 42.796249   73939300    42.796249
## 2020-02-05 43.560463 43.570262 43.011796 43.041187   74350800    43.041187
## 2020-02-06 43.433096 43.452688 43.070579 43.080379   80118800    43.080379
## 2020-02-07 42.649278 42.668873 42.374944 42.482719   58449900    42.482719
## 2020-02-10 42.502315 42.747257 42.502315 42.717861   45350800    42.717861
## 2020-02-11 43.246937 43.511475 43.188154 43.276329   58708400    43.276329
## 2020-02-12 43.687835 43.932777 43.599656 43.864193   41641100    43.864193
## 2020-02-13 43.393904 43.550667 43.266534 43.286129   64757500    43.286129
## 2020-02-14 43.560463 43.570262 43.148962 43.305725   45095300    43.305725
## 2020-02-18 43.001999 43.158761 42.923619 43.021595   40176200    43.021595
## 2020-02-19 43.354712 43.433096 43.295925 43.335117   45651500    43.335117
## 2020-02-20 42.992202 43.442894 42.521915 42.659081  109316300    42.659081
## 2020-02-21 42.561098 42.649277 42.355348 42.414135   70553100    42.414135
## 2020-02-24 40.621162 41.062058 40.591770 40.826912  101505600    40.826912
## 2020-02-25 41.424571 41.493153 40.503590 40.503590  118601100    40.503590
## 2020-02-26 40.983679 41.385383 40.797520 40.826912  109411100    40.826912
## 2020-02-27 40.376220 40.679949 39.837349 39.847145  151063200    39.847145
## 2020-02-28 38.749805 39.798156 38.485267 39.700180  201191200    39.700180
## 2020-03-02 39.817752 40.572174 39.582610 40.562378  135152300    40.562378
## 2020-03-03 40.572170 41.228616 40.003906 40.288036  141798700    40.288036
## 2020-03-04 40.895498 41.081652 40.670148 41.003269   80064800    41.003269
## 2020-03-05 40.679950 40.836713 39.974517 40.141079  107474200    40.141079
## 2020-03-06 39.455239 39.572811 39.004547 39.318073  104006900    39.318073
## 2020-03-09 36.476745 37.329141 35.859490 36.633507  143376900    36.633507
## 2020-03-10 38.161947 38.534260 37.397725 38.495068  142773700    38.495068
## 2020-03-11 37.427121 37.554492 36.466949 36.702091  137795400    36.702091
## 2020-03-12 33.439466 33.968538 32.224553 33.027962  171341200    33.027962
## 2020-03-13 35.869295 35.957474 33.684413 35.408802  128272900    35.408802
## 2020-03-16 31.352561 32.802617 30.950856 30.990046  101553900    30.990046
## 2020-03-17 31.901233 33.125942 31.381954 33.125942   92310900    33.125942
## 2020-03-18 30.284614 31.372156 29.539991 30.265018  101136100    30.265018
## 2020-03-19 30.186638 30.911666 29.637970 30.500164   68919700    30.500164
## 2020-03-20 31.930623 32.057994 30.617735 30.725510  100290200    30.725510
## 2020-03-23 30.431578 30.529556 29.491003 29.990685   97832900    29.990685
## 2020-03-24 31.950219 32.302935 31.695476 32.244148   84450500    32.244148
## 2020-03-25 32.832004 33.831368 32.518480 33.380676   79588900    33.380676
## 2020-03-26 33.664813 34.732760 33.586430 34.644581   89991500    34.644581
## 2020-03-27 32.773223 33.272902 32.518481 32.675243   74103800    32.675243
## 2020-03-30 32.792822 33.243514 32.547880 33.214123   47544900    33.214123
## 2020-03-31 33.292502 33.850968 33.233714 33.439468   64131300    33.439468
## 2020-04-01 32.430303 32.655653 31.960016 32.009003   65580600    32.009003
## 2020-04-02 32.616463 33.253310 32.528283 33.086750   55784000    33.086750
## 2020-04-03 33.008370 33.174932 32.283344 32.459702   68672500    32.459702
## 2020-04-06 33.743190 34.242874 33.606023 34.233074   82394800    34.233074
## 2020-04-07 35.359806 35.389198 34.340847 34.409431   74322600    34.409431
## 2020-04-08 34.497612 34.850329 34.233075 34.762150   47112900    34.762150
## 2020-04-09 35.134461 35.359807 34.546598 34.634777   67239300    34.634777
## 2020-04-13 34.624985 34.732760 34.291864 34.683773   38193400    34.683773
## 2020-04-14 35.477383 35.741921 35.281429 35.477383   52817400    35.477383
## 2020-04-15 34.634776 34.742551 34.409430 34.566193   60775200    34.566193
## 2020-04-16 35.056080 35.095272 34.634779 34.752354   37215100    34.752354
## 2020-04-17 35.692929 35.741918 35.271629 35.526367   40870300    35.526367
## 2020-04-20 35.154059 35.506777 35.007093 35.075676   44402700    35.075676
## 2020-04-21 34.272269 34.468222 34.037126 34.105709   46166600    34.105709
## 2020-04-22 35.056084 35.144263 34.967905 35.036488   37455800    35.036488
## 2020-04-23 35.310820 35.555762 34.889520 34.909115   40733100    34.909115
## 2020-04-24 34.967905 35.016897 34.536809 34.860134   30553700    34.860134
## 2020-04-27 35.320621 35.634147 35.261838 35.565563   30617400    35.565563
## 2020-04-28 36.075040 36.104431 35.614548 35.634144   34463600    35.634144
## 2020-04-29 36.241599 36.741279 36.173012 36.672695   45483100    36.672695
## 2020-04-30 36.486545 36.604117 35.663541 35.898682   59181700    35.898682
## 2020-05-01 35.026689 35.154060 34.487818 34.605389   56829000    34.605389
## 2020-05-04 34.742553 35.016891 34.605386 34.977699   37036200    34.977699
## 2020-05-05 35.330418 35.506777 35.134464 35.173656   41772700    35.173656
## 2020-05-06 35.389205 35.428397 35.046288 35.065884   36584500    35.065884
## 2020-05-07 35.399001 35.506777 35.183452 35.350014   36883300    35.350014
## 2020-05-08 35.800710 36.202414 35.771314 36.094639   60613000    36.094639
## 2020-05-11 35.879085 36.094635 35.820301 35.859489   31053700    35.859489
## 2020-05-12 36.153425 36.408162 35.712528 35.722324   49641400    35.722324
## 2020-05-13 36.124028 36.202412 35.418599 35.653740   55002900    35.653740
## 2020-05-14 34.967900 35.849692 34.840533 35.790905   58633700    35.790905
## 2020-05-15 35.232438 35.467584 35.114867 35.301022   40402000    35.301022
## 2020-05-18 36.173015 36.760877 36.163219 36.682495   47487700    36.682495
## 2020-05-19 36.623711 36.800069 36.368970 36.388565   36152600    36.388565
## 2020-05-20 36.966628 37.142986 36.662898 36.868652   43140300    36.868652
## 2020-05-21 36.643307 36.770674 36.270994 36.447353   42845500    36.447353
## 2020-05-22 35.879087 35.879087 35.575361 35.692932   47355000    35.692932
## 2020-05-26 36.819663 36.966626 36.437550 36.476742   54511200    36.476742
## 2020-05-27 36.643310 36.672701 36.163222 36.594318   47182400    36.594318
## 2020-05-28 36.711890 36.888249 36.319982 36.339577   53388700    36.339577
## 2020-05-29 36.594319 37.035216 36.339582 36.966633   63616700    36.966633
## 2020-06-01 37.309552 37.848423 37.240964 37.819027   49360200    37.819027
## 2020-06-02 38.279518 38.769401 38.191339 38.720413   54010500    38.720413
## 2020-06-03 39.239687 39.700178 39.180904 39.621796   60769300    39.621796
## 2020-06-04 39.102520 39.367057 38.867374 39.063328   50969300    39.063328
## 2020-06-05 40.072496 40.327233 39.994112 40.092087   52467500    40.092087
## 2020-06-08 39.974512 40.356621 39.739370 40.337025   39777100    40.337025
## 2020-06-09 39.758970 40.150875 39.612003 40.062695   44389800    40.062695
## 2020-06-10 40.180262 40.474195 39.847141 40.356621   81172700    40.356621
## 2020-06-11 39.053531 39.269081 38.201135 38.250122   91271100    38.250122
## 2020-06-12 39.210294 39.288674 38.485265 39.063328   73779500    39.063328
## 2020-06-15 38.058170 38.935222 37.939917 38.708569   76868600    38.708569
## 2020-06-16 39.684165 39.684165 38.679003 38.954929   79638000    38.954929
## 2020-06-17 39.289984 39.526494 39.211150 39.329403   61471100    39.329403
## 2020-06-18 39.230860 39.496933 39.221003 39.349113   48131400    39.349113
## 2020-06-19 39.881262 39.891115 39.201298 39.339260   72411300    39.339260
## 2020-06-22 39.605331 39.910823 39.516640 39.822132   39024200    39.822132
## 2020-06-23 40.295146 40.472528 40.167036 40.206455   32995800    40.206455
## 2020-06-24 40.048786 40.167039 39.398388 39.674313   51150200    39.674313
## 2020-06-25 39.536348 39.851693 39.398385 39.841839   48199000    39.841839
## 2020-06-26 39.723586 39.743296 39.191441 39.358967   53901200    39.358967
## 2020-06-29 39.368821 39.556055 39.142167 39.536346   34712700    39.536346
## 2020-06-30 39.467369 39.506788 39.161882 39.408245   67644600    39.408245
## 2020-07-01 39.625038 39.999511 39.595475 39.851692   51766200    39.851692
## 2020-07-02 40.709039 40.994818 40.580930 40.758312   42240200    40.758312
## 2020-07-06 42.157654 42.522274 42.157654 42.512417   69159900    42.512417
## 2020-07-07 41.970420 42.256202 41.783186 41.802891   34004100    41.802891
## 2020-07-08 42.374452 42.886887 42.325180 42.886887   42278100    42.886887
## 2020-07-09 43.261361 43.320485 42.502562 42.886887   64950400    42.886887
## 2020-07-10 42.601106 42.670086 42.325180 42.610962   45293500    42.610962
## 2020-07-13 42.906597 43.221942 42.246342 42.325180   47039600    42.325180
## 2020-07-14 41.832454 42.502561 41.733905 42.384304   56528000    42.384304
## 2020-07-15 42.640527 42.719361 42.344892 42.512417   48309100    42.512417
## 2020-07-16 41.694491 41.950708 41.635363 41.911289   36512000    41.911289
## 2020-07-17 42.216782 42.236492 41.930999 42.147800   40913000    42.147800
## 2020-07-20 42.384304 42.739068 42.266051 42.689796   23319300    42.689796
## 2020-07-21 43.359907 43.379616 43.064272 43.083981   44420500    43.083981
## 2020-07-22 43.074121 43.074121 42.660233 42.896740   31232200    42.896740
## 2020-07-23 42.867179 43.034704 42.344890 42.551834   39243400    42.551834
## 2020-07-24 42.098529 42.512417 42.009838 42.512417   30184800    42.512417
## 2020-07-27 42.808049 43.202231 42.679942 43.172668   39112200    43.172668
## 2020-07-28 43.093831 43.143102 42.768633 42.817905   31219100    42.817905
## 2020-07-29 43.212081 43.625973 43.212081 43.507721   37830900    43.507721
## 2020-07-30 42.995287 43.123393 42.561686 42.955868   47900300    42.955868
## 2020-07-31 42.995287 43.005139 42.335032 42.660233   62457700    42.660233
## 2020-08-03 42.817906 43.054412 42.778487 42.955868   30603000    42.955868
## 2020-08-04 43.143106 43.527431 43.133252 43.527431   40597400    43.527431
## 2020-08-05 43.911758 44.197537 43.882193 44.000450   36768200    44.000450
## 2020-08-06 43.872339 44.158121 43.714667 44.138412   33523700    44.138412
## 2020-08-07 43.350049 43.507722 43.005138 43.231792   35759300    43.231792
## 2020-08-10 43.300776 43.428886 43.005140 43.340195   26964700    43.340195
## 2020-08-11 43.625977 43.714669 43.172670 43.221943   34166400    43.221943
## 2020-08-12 43.665397 43.931470 43.566849 43.803360   30740100    43.803360
## 2020-08-13 43.754085 43.823066 43.488012 43.675247   26509200    43.675247
## 2020-08-14 43.566849 43.665397 43.507725 43.596416   24593800    43.596416
## 2020-08-17 43.921613 44.167976 43.852631 44.148266   26422200    44.148266
## 2020-08-18 44.148267 44.217248 43.813213 44.098995   34464800    44.098995
## 2020-08-19 43.961030 43.970883 43.547139 43.556995   28391100    43.556995
## 2020-08-20 42.827760 43.428887 42.739069 43.419033   38399500    43.419033
## 2020-08-21 43.340195 43.655539 43.152960 43.635830   34657800    43.635830
## 2020-08-24 44.286232 44.315797 43.951177 44.118706   26576500    44.118706
## 2020-08-25 44.266521 44.601575 44.167978 44.562160   27608400    44.562160
## 2020-08-26 44.572008 44.729680 44.512879 44.680408   31465300    44.680408
## 2020-08-27 44.798665 44.798665 44.118704 44.305939   31947400    44.305939
## 2020-08-28 44.581865 44.897208 44.463608 44.887352   24151700    44.887352
## 2020-08-31 44.059577 44.069433 43.606270 43.892052   52790000    43.892052
## 2020-09-01 44.305937 44.670558 44.266518 44.640991   34212200    44.640991
## 2020-09-02 44.700121 44.709974 44.128557 44.522739   50638400    44.522739
## 2020-09-03 44.286226 44.296083 43.399321 43.675247   82433300    43.675247
## 2020-09-04 43.773792 44.010303 42.946016 43.694958   62284500    43.694958
## 2020-09-08 42.926303 43.320482 42.798194 42.936157   50051100    42.936157
## 2020-09-09 43.369754 43.665393 43.261358 43.576702   49010500    43.576702
## 2020-09-10 43.625979 43.694960 42.877033 42.877033   54276200    42.877033
## 2020-09-11 43.468306 43.606269 43.074123 43.290924   49400700    43.290924
## 2020-09-14 43.862483 44.059575 43.803359 43.990593   38892300    43.990593
## 2020-09-15 44.532588 44.572007 44.365062 44.453754   30541000    44.453754
## 2020-09-16 44.591721 44.749394 44.374921 44.394630   38179100    44.394630
## 2020-09-17 43.862483 44.286229 43.832922 44.217247   38231100    44.217247
## 2020-09-18 44.256667 44.296087 43.803360 43.872341   34270500    43.872341
## 2020-09-21 43.133249 43.497866 42.758776 43.468304   42901100    43.468304
## 2020-09-22 43.310634 43.330343 42.788341 43.143105   44884000    43.143105
## 2020-09-23 43.014999 43.093833 42.433581 42.472996   40837000    42.472996
## 2020-09-24 41.881726 42.571544 41.812744 42.275909   46493800    42.275909
## 2020-09-25 41.921144 42.335032 41.674781 42.315323   44165700    42.315323
## 2020-09-28 42.877033 42.965723 42.581398 42.788342   45528300    42.788342
## 2020-09-29 42.660235 42.896741 42.620816 42.758778   25333200    42.758778
## 2020-09-30 43.093834 43.566850 43.064272 43.448597   48674300    43.448597
## 2020-10-01 43.773793 43.882194 43.517577 43.852631   51521100    43.852631
## 2020-10-02 43.192380 43.734377 43.143104 43.350052   32647100    43.350052
## 2020-10-05 43.586559 43.931469 43.586559 43.931469   36059100    43.931469
## 2020-10-06 44.069431 44.345357 43.862483 44.010303   43464800    44.010303
## 2020-10-07 44.414341 44.631141 44.286231 44.493179   45691100    44.493179
## 2020-10-08 44.650848 44.907065 44.296085 44.857792   29669900    44.857792
## 2020-10-09 44.966193 45.291390 44.838083 45.163284   31901900    45.163284
## 2020-10-12 45.409645 45.665861 45.311098 45.557461   40037700    45.557461
## 2020-10-13 45.399791 45.429352 45.133717 45.370228   35585000    45.370228
## 2020-10-14 45.350520 45.468774 45.045029 45.064739   42300500    45.064739
## 2020-10-15 44.414339 44.778955 44.365066 44.739540   41119300    44.739540
## 2020-10-16 44.897213 45.025320 44.749394 44.897213   31611400    44.897213
## 2020-10-19 45.035177 45.222411 44.680413 44.769104   30869500    44.769104
## 2020-10-20 45.045025 45.498333 45.025316 45.261826   51631300    45.261826
## 2020-10-21 45.330810 45.646155 45.271682 45.389938   42909300    45.389938
## 2020-10-22 45.468772 45.508191 45.153428 45.380081   41884100    45.380081
## 2020-10-23 45.419498 45.646152 45.202697 45.646152   36931400    45.646152
## 2020-10-26 45.104154 45.370227 44.690262 45.054882   53574300    45.054882
## 2020-10-27 45.182990 45.380082 45.035175 45.251972   41828600    45.251972
## 2020-10-28 44.532595 44.591723 44.079288 44.118706   67047200    44.118706
## 2020-10-29 44.286231 44.709976 44.128559 44.562160   44763400    44.562160
## 2020-10-30 44.197536 44.266518 43.763939 44.059574   66155200    44.059574
## 2020-11-02 44.522737 44.640990 44.266517 44.621281   51001600    44.621281
## 2020-11-03 44.700118 44.936623 44.522735 44.818371   49744300    44.818371
## 2020-11-04 45.419499 46.404951 45.330808 46.227570   81110200    46.227570
## 2020-11-05 47.015934 47.213025 46.621755 47.015934   78029300    47.015934
## 2020-11-06 46.976511 47.410113 46.848406 47.232731   57353300    47.232731
## 2020-11-09 48.760184 48.809456 47.538225 47.557930   74889400    47.557930
## 2020-11-10 47.370698 47.488951 46.808990 47.015934   68735600    47.015934
## 2020-11-11 46.946953 47.400260 46.868119 47.321426   46272000    47.321426
## 2020-11-12 47.439676 47.607205 46.848407 46.966660   41292600    46.966660
## 2020-11-13 47.538224 47.656478 47.291861 47.626915   48143400    47.626915
## 2020-11-16 48.139347 48.375857 48.050656 48.218185   63565900    48.218185
## 2020-11-17 47.922552 48.297021 47.853570 48.168915   34661600    48.168915
## 2020-11-18 48.375858 48.385710 47.991532 48.001385   32343400    48.001385
## 2020-11-19 47.774732 48.149205 47.676188 48.080223   27524000    48.080223
## 2020-11-20 48.188623 48.484257 48.149204 48.346294   35259100    48.346294
## 2020-11-23 48.868585 48.878438 48.366006 48.474403   38979600    48.474403
## 2020-11-24 48.878435 49.154365 48.622219 49.124798   39275200    49.124798
## 2020-11-25 48.681348 48.878435 48.543381 48.848873   47358000    48.848873
## 2020-11-27 49.223347 49.440144 49.183928 49.312038   27040300    49.312038
## 2020-11-30 48.592654 48.592654 48.001381 48.021091   60622800    48.021091
## 2020-12-01 48.868585 49.154367 48.632074 48.967129   50376400    48.967129
## 2020-12-02 48.888295 49.134658 48.701056 49.036110   42826100    49.036110
## 2020-12-03 49.499273 49.844183 49.459854 49.597820   61408300    49.597820
## 2020-12-04 49.982146 50.139819 49.893455 50.110252   42230900    50.110252
## 2020-12-07 50.041271 50.248219 49.913165 50.110252   43115100    50.110252
## 2020-12-08 50.051129 50.129963 49.893456 50.129963   28632600    50.129963
## 2020-12-09 50.287632 50.287632 49.459852 49.696362   40762600    49.696362
## 2020-12-10 49.637236 50.396034 49.607673 50.336910   36032000    50.336910
## 2020-12-11 50.021562 50.169382 49.893456 49.982147   38034400    49.982147
## 2020-12-14 50.100623 50.130491 49.692411 49.722279   34407200    49.722279
## 2020-12-15 49.941321 50.289793 49.801931 50.259926   39345000    50.259926
## 2020-12-16 50.359493 50.578531 50.249972 50.498882   38243300    50.498882
## 2020-12-17 50.827442 50.887182 50.668140 50.827442   36323800    50.827442
## 2020-12-18 50.727877 50.797571 50.558617 50.767704   47662800    50.767704
## 2020-12-21 49.642633 50.230060 49.622719 50.020977   48558100    50.020977
## 2020-12-22 49.891543 49.941324 49.553024 49.622719   35229900    49.622719
## 2020-12-23 50.100626 50.240014 50.030931 50.130493   36469400    50.130493
## 2020-12-24 49.991102 50.110582 49.642630 49.911453   20689000    49.911453
## 2020-12-28 50.150405 50.220100 49.941322 50.050842   26906100    50.050842
## 2020-12-29 50.498882 50.837400 50.459055 50.797573   41965900    50.797573
## 2020-12-30 51.414869 51.653824 51.365088 51.474609   35759500    51.474609
## 2020-12-31 51.763345 51.773299 51.136090 51.444736   35680200    51.444736
## 2021-01-04 52.390596 52.579770 51.604043 51.773300   48201300    51.773300
## 2021-01-05 52.261168 53.037766 52.261168 53.017853   53358000    53.017853
## 2021-01-06 52.619594 53.207023 52.430424 52.569813   56418700    52.569813
## 2021-01-07 52.848593 53.067631 52.589725 53.067631   41031300    53.067631
## 2021-01-08 54.013491 54.501357 53.704842 54.471485   76024300    54.471485
## 2021-01-11 53.754629 54.063274 53.674976 53.734715   40816400    53.734715
## 2021-01-12 54.073231 54.371923 53.923884 54.262402   47570500    54.262402
## 2021-01-13 54.361964 54.650701 54.043360 54.381878   33561200    54.381878
## 2021-01-14 54.979264 55.238129 54.819961 54.889656   38837200    54.889656
## 2021-01-15 54.322139 54.431657 53.973663 54.113052   58519000    54.113052
## 2021-01-19 55.258042 55.297869 54.879698 55.009132   50429300    55.009132
## 2021-01-20 55.954990 56.014726 55.706080 55.974903   38832500    55.974903
## 2021-01-21 56.164075 56.203901 55.865384 56.074467   31457000    56.074467
## 2021-01-22 55.297868 55.706081 55.228173 55.586605   48223800    55.586605
## 2021-01-25 56.203901 56.293509 55.467125 56.004772   50793700    56.004772
## 2021-01-26 55.546780 55.686169 55.287911 55.596561   32283000    55.596561
## 2021-01-27 54.421704 54.640746 54.013491 54.053318   45279700    54.053318
## 2021-01-28 53.953754 54.630789 53.814364 54.431660   38055000    54.431660
## 2021-01-29 53.485804 53.615234 52.818723 53.077591   57657800    53.077591
## 2021-02-01 54.182748 54.610873 53.923883 54.511311   51427000    54.511311
## 2021-02-02 55.307824 55.347650 55.048959 55.218216   33172200    55.218216
## 2021-02-03 55.586606 55.706081 55.327737 55.496998   32363100    55.496998
## 2021-02-04 55.437258 55.556734 55.098740 55.516907   40161800    55.516907
## 2021-02-05 55.765815 56.014725 55.556731 55.994816   24242300    55.994816
## 2021-02-08 55.795688 56.193942 55.785729 56.094379   21606000    56.094379
## 2021-02-09 56.104332 56.741546 56.094378 56.691761   27200000    56.691761
## 2021-02-10 57.199543 57.279192 56.552374 56.890892   30531200    56.890892
## 2021-02-11 57.398672 57.747144 57.289151 57.498234   48875000    57.498234
## 2021-02-12 57.249325 57.717277 57.159717 57.548016   28400400    57.548016
## 2021-02-16 57.876579 58.035881 57.538061 57.687405   34954000    57.687405
## 2021-02-17 57.587841 57.747144 57.299104 57.707317   37789100    57.707317
## 2021-02-18 56.771415 56.910805 56.293509 56.910805   46118400    56.910805
## 2021-02-19 57.249322 57.557971 57.090019 57.279190   39809800    57.279190
## 2021-02-22 55.755863 56.124249 55.536822 55.596561   46924200    55.596561
## 2021-02-23 55.238129 56.034641 54.551138 55.845470   40316200    55.845470
## 2021-02-24 54.919523 55.506951 54.581005 55.487038   36631300    55.487038
## 2021-02-25 55.516908 55.656301 54.142927 54.222576   50895200    54.222576
## 2021-02-26 53.874102 53.913929 53.157239 53.495758   68933600    53.495758
## 2021-03-01 54.581006 55.088784 54.461530 54.929478   53421400    54.929478
## 2021-03-02 54.630786 54.670612 54.222573 54.391834   38533600    54.391834
## 2021-03-03 54.800048 54.939437 54.083186 54.282314   43013300    54.282314
## 2021-03-04 54.063274 54.312185 52.739075 53.017853   70653800    53.017853
## 2021-03-05 53.774536 53.794450 52.569812 53.595325   64018500    53.595325
## 2021-03-08 52.649466 52.798810 52.022212 52.151646   54120600    52.151646
## 2021-03-09 52.918291 53.595326 52.848596 53.296631   42450100    53.296631
## 2021-03-10 53.535584 53.555498 52.808768 53.057678   42853900    53.057678
## 2021-03-11 54.272356 54.800049 54.033405 54.730354   57247200    54.730354
## 2021-03-12 53.605279 53.754627 53.346414 53.754627   41559600    53.754627
## 2021-03-15 53.495757 53.894014 53.356368 53.884056   32447400    53.884056
## 2021-03-16 54.053317 54.312181 53.874101 54.113052   41261600    54.113052
## 2021-03-17 53.416108 54.421703 53.286673 54.182747   57032400    54.182747
## 2021-03-18 53.694886 53.854188 53.157239 53.187107   49205900    53.187107
## 2021-03-19 53.266761 53.844234 53.097504 53.844234   60265700    53.844234
## 2021-03-22 53.505718 53.844235 53.316543 53.684929   24860300    53.684929
## 2021-03-23 52.987983 53.167200 52.629553 52.659420   40356400    52.659420
## 2021-03-24 52.320903 52.400556 51.454697 51.454697   45315400    51.454697
## 2021-03-25 51.335221 51.842997 51.295395 51.693649   73684400    51.693649
## 2021-03-26 52.171561 53.087548 51.932605 53.037766  142402800    53.037766
## 2021-03-29 52.609640 52.888418 52.410511 52.669380   51309500    52.669380
## 2021-03-30 52.649463 52.948154 52.500116 52.838634   44414300    52.838634
## 2021-03-31 52.778897 53.286675 52.778897 53.107460   38807500    53.107460
## 2021-04-01 53.884056 53.983622 53.575409 53.625191   44592700    53.625191
## 2021-04-05 53.953750 54.013489 53.714798 53.834274   30891600    53.834274
## 2021-04-06 53.844236 54.361965 53.724756 54.132969   31509200    54.132969
## 2021-04-07 53.376283 53.515671 53.147285 53.336456   47888100    53.336456
## 2021-04-08 53.884057 54.043360 53.754627 53.774536   50373000    53.774536
## 2021-04-09 53.256809 53.336458 53.137329 53.316544   35808300    53.316544
## 2021-04-12 52.948154 53.057675 52.828678 52.997936   30045900    52.997936
## 2021-04-13 53.007897 53.406150 52.928243 53.216980   33697900    53.216980
## 2021-04-14 53.694885 53.804407 53.436017 53.485802   27449500    53.485802
## 2021-04-15 53.923882 54.023444 53.754625 53.973663   42622000    53.973663
## 2021-04-16 54.113052 54.192705 53.864142 54.113052   32031300    54.113052
## 2021-04-19 54.003537 54.103099 53.724754 53.913929   34318500    53.913929
## 2021-04-20 53.854189 53.963711 53.326501 53.475845   27732600    53.475845
## 2021-04-21 53.226936 53.834277 53.107460 53.804409   33407600    53.804409
## 2021-04-22 53.844235 53.953753 53.445977 53.615234   39452000    53.615234
## 2021-04-23 54.142924 54.451570 54.103097 54.391834   27062900    54.391834
## 2021-04-26 54.302227 54.511310 54.192705 54.461529   26805200    54.461529
## 2021-04-27 54.451574 54.600921 54.342056 54.431660   25563100    54.431660
## 2021-04-28 54.690526 55.098739 54.521265 54.839874   37381000    54.839874
## 2021-04-29 55.019088 55.029046 54.262403 54.710442   36617000    54.710442
## 2021-04-30 54.033403 54.132966 53.615232 53.744667   46299900    53.744667
## 2021-05-03 53.704840 53.993577 53.525624 53.744667   20628000    53.744667
## 2021-05-04 53.346412 53.426062 52.749026 53.137325   38634800    53.137325
## 2021-05-05 53.396196 53.565453 53.326502 53.386238   16731900    53.386238
## 2021-05-06 53.665020 53.923884 53.495759 53.894016   29454200    53.894016
## 2021-05-07 54.222575 54.690527 54.152880 54.451572   41590600    54.451572
## 2021-05-10 54.232534 54.252448 53.426064 53.475845   40686800    53.475845
## 2021-05-11 52.470249 53.346414 52.430423 53.326500   37374100    53.326500
## 2021-05-12 52.450337 52.679335 51.783256 51.852955   53632900    51.852955
## 2021-05-13 52.012258 52.281077 51.514438 51.783257   42935200    51.783257
## 2021-05-14 52.380640 52.808766 52.251206 52.719158   40363000    52.719158
## 2021-05-17 52.380643 52.709203 52.300990 52.669380   23169500    52.669380
## 2021-05-18 53.356368 53.645105 53.286673 53.376282   32405300    53.376282
## 2021-05-19 52.719160 53.416109 52.679333 53.216980   46284100    53.216980
## 2021-05-20 53.296631 53.635148 53.286675 53.525627   33273000    53.525627
## 2021-05-21 53.505716 53.505716 52.828680 52.908329   39110900    52.908329
## 2021-05-24 53.157238 53.475843 53.047718 53.346413   22436200    53.346413
## 2021-05-25 54.033405 54.123014 53.794451 53.874104   40993700    53.874104
## 2021-05-26 54.083188 54.332098 54.063275 54.272358   26984700    54.272358
## 2021-05-27 54.322141 54.431658 54.162839 54.282314   35598900    54.282314
## 2021-05-28 54.421704 54.760221 54.401790 54.630787   43730300    54.630787
## 2021-06-01 55.895252 55.935078 55.576648 55.755863   41656100    55.755863
## 2021-06-02 55.676209 55.885297 55.526865 55.845470   24532400    55.845470
## 2021-06-03 55.267998 55.417346 55.098741 55.248089   40790400    55.248089
## 2021-06-04 55.636386 55.785730 55.556732 55.745907   29033000    55.745907
## 2021-06-07 55.467125 55.496997 55.218215 55.467125   24830500    55.467125
## 2021-06-08 55.277955 55.307823 55.019087 55.198303   38113700    55.198303
## 2021-06-09 55.138567 55.287911 54.989220 55.039001   30916900    55.039001
## 2021-06-10 55.240002 55.560001 55.189999 55.480000   28571100    55.480000
## 2021-06-11 55.340000 55.389999 55.110001 55.290001   28375700    55.290001
## 2021-06-14 55.330002 55.560001 55.270000 55.439999   26421400    55.439999
## 2021-06-15 55.299999 55.310001 54.939999 55.060001   34121300    55.060001
## 2021-06-16 54.950001 55.099998 54.090000 54.310001   44138300    54.310001
## 2021-06-17 54.540001 54.820000 54.450001 54.610001   27846900    54.610001
## 2021-06-18 54.380001 54.480000 54.130001 54.230000   42443000    54.230000
## 2021-06-21 54.169998 54.459999 53.919998 54.459999   26975800    54.459999

head(datas$EEM)

##            EEM.Open EEM.High  EEM.Low EEM.Close EEM.Volume EEM.Adjusted
## 2003-04-14 8.041089 8.097208 8.041089  8.097208      93600     8.097208
## 2003-04-15 8.146915 8.217465 8.146915  8.193414     421200     8.193414
## 2003-04-16 8.281600 8.321685 8.281600  8.288014       9000     8.288014
## 2003-04-17 8.333713 8.349747 8.319282  8.347342      17100     8.347342
## 2003-04-21 8.356962 8.357764 8.337722  8.344135      72900     8.344135
## 2003-04-22 8.343335 8.372196 8.317681  8.372196      19800     8.372196

bt.prep(datas, align='remove.na')
names(datas)

##  [1] "GLD"             "prices"          "IWM"             "dates"          
##  [5] "IYR"             "TLT"             "weight"          "QQQ"            
##  [9] ".getSymbols"     "symbolnames"     "execution.price" "EEM"            
## [13] "SPY"             "EFA"

head(datas$SPY)

##                     SPY.Open SPY.High  SPY.Low SPY.Close SPY.Volume
## 2004-11-18 08:00:00 85.45050 85.64515 85.23423  85.60189   31854300
## 2004-11-19 08:00:00 85.57307 85.58749 84.44843  84.65029   54276500
## 2004-11-22 08:00:00 84.47005 85.15492 84.36912  85.05399   37560200
## 2004-11-23 08:00:00 85.01791 85.25581 84.61420  85.18372   41968800
## 2004-11-24 08:00:00 85.26305 85.49375 85.10445  85.38561   29724800
## 2004-11-26 08:00:00 85.43609 85.77492 85.28470  85.32074   15487700
##                     SPY.Adjusted
## 2004-11-18 08:00:00     85.60189
## 2004-11-19 08:00:00     84.65029
## 2004-11-22 08:00:00     85.05399
## 2004-11-23 08:00:00     85.18372
## 2004-11-24 08:00:00     85.38561
## 2004-11-26 08:00:00     85.32074

head(datas$prices)

##                          EEM      EFA   GLD      IWM      IYR      QQQ      SPY
## 2004-11-18 08:00:00 15.50116 31.89693 44.38 49.44335 30.10818 34.16679 85.60189
## 2004-11-19 08:00:00 15.27955 31.69041 44.78 48.91668 29.69538 33.63632 84.65029
## 2004-11-22 08:00:00 15.33918 31.78335 44.95 49.43537 29.91727 33.95809 85.05399
## 2004-11-23 08:00:00 15.36577 31.84530 44.75 49.74258 30.23718 33.90590 85.18372
## 2004-11-24 08:00:00 15.52937 31.98987 45.05 50.04183 30.64997 34.20155 85.38561
## 2004-11-26 08:00:00 15.78726 32.17572 45.29 50.07376 30.46938 34.09720 85.32074
##                          TLT
## 2004-11-18 08:00:00 52.06873
## 2004-11-19 08:00:00 51.65319
## 2004-11-22 08:00:00 51.92241
## 2004-11-23 08:00:00 51.98678
## 2004-11-24 08:00:00 51.98678
## 2004-11-26 08:00:00 51.64732

prices_monthly <- to.monthly(datas$prices, indexAt = "last", OHLC = FALSE) # indexAt = 'endof'
head(prices_monthly)

##                 EEM      EFA   GLD      IWM      IYR      QQQ      SPY      TLT
## 2004-11-30 15.71955 32.06215 45.12 50.62437 30.52871 34.01894 84.98910 50.88067
## 2004-12-31 16.46561 33.60329 43.80 51.83453 32.11852 35.04711 87.54905 52.23348
## 2005-01-31 16.37833 32.96373 42.22 49.72914 29.38115 32.83472 85.58614 54.09748
## 2005-02-28 17.96411 34.21140 43.53 50.54570 30.36140 32.67670 87.37523 53.30110
## 2005-03-31 16.54310 33.31391 42.82 49.11284 29.59041 32.10603 85.77689 53.05878
## 2005-04-29 16.33672 32.77501 43.35 46.33454 31.25453 30.71012 84.16984 55.10953

monthly.ret <- na.omit(Return.calculate(prices_monthly, method = "discrete"))
head(monthly.ret)

##                     EEM          EFA         GLD         IWM         IYR
## 2004-12-31  0.047460377  0.048067558 -0.02925532  0.02390483  0.05207583
## 2005-01-31 -0.005300927 -0.019032896 -0.03607301 -0.04061765 -0.08522709
## 2005-02-28  0.096822276  0.037849999  0.03102790  0.01642013  0.03336316
## 2005-03-31 -0.079102867 -0.026233797 -0.01631057 -0.02834775 -0.02539386
## 2005-04-29 -0.012475230 -0.016176517  0.01237735 -0.05656975  0.05623877
## 2005-05-31  0.031607073 -0.008637314 -0.03921560  0.06464804  0.03746519
##                     QQQ         SPY         TLT
## 2004-12-31  0.030223605  0.03012093  0.02658804
## 2005-01-31 -0.063126280 -0.02242064  0.03568583
## 2005-02-28 -0.004812497  0.02090392 -0.01472111
## 2005-03-31 -0.017464246 -0.01829286 -0.00454621
## 2005-04-29 -0.043478157 -0.01873521  0.03865047
## 2005-05-31  0.088622060  0.03222454  0.03137680

download Fama-French factors from website

url <- "http://mba.tuck.dartmouth.edu/pages/faculty/ken.french/ftp/F-F_Research_Data_Factors_daily_CSV.zip"
temp <- tempfile()
download.file(url, temp, method = "libcurl", mode = "wb")
unzip(temp, "F-F_Research_Data_Factors_daily.CSV")
unlink(temp)

mydata <- read.csv("F-F_Research_Data_Factors_daily.CSV", skip = 4)
mydata <- mydata[-nrow(mydata), ]  # remove last row
fama_lib <- xts(x = mydata[, c(2,3,4)], order.by = as.Date(paste(mydata[, 1]), "%Y%m%d"))
str(fama_lib)

## An 'xts' object on 1926-07-01/2021-04-30 containing:
##   Data: num [1:24978, 1:3] 0.1 0.45 0.17 0.09 0.21 -0.71 0.62 0.04 0.48 0.04 ...
##  - attr(*, "dimnames")=List of 2
##   ..$ : NULL
##   ..$ : chr [1:3] "Mkt.RF" "SMB" "HML"
##   Indexed by objects of class: [Date] TZ: UTC
##   xts Attributes:  
##  NULL

head(fama_lib)

##            Mkt.RF   SMB   HML
## 1926-07-01   0.10 -0.24 -0.28
## 1926-07-02   0.45 -0.32 -0.08
## 1926-07-06   0.17  0.27 -0.35
## 1926-07-07   0.09 -0.59  0.03
## 1926-07-08   0.21 -0.36  0.15
## 1926-07-09  -0.71  0.44  0.56

dates <- '2005-01::2021-03'
X <- monthly.ret[dates]
head(X)

##                     EEM          EFA         GLD         IWM         IYR
## 2005-01-31 -0.005300927 -0.019032896 -0.03607301 -0.04061765 -0.08522709
## 2005-02-28  0.096822276  0.037849999  0.03102790  0.01642013  0.03336316
## 2005-03-31 -0.079102867 -0.026233797 -0.01631057 -0.02834775 -0.02539386
## 2005-04-29 -0.012475230 -0.016176517  0.01237735 -0.05656975  0.05623877
## 2005-05-31  0.031607073 -0.008637314 -0.03921560  0.06464804  0.03746519
## 2005-06-30  0.039690255  0.014327225  0.04297712  0.04076246  0.04489641
##                     QQQ          SPY         TLT
## 2005-01-31 -0.063126280 -0.022420643  0.03568583
## 2005-02-28 -0.004812497  0.020903921 -0.01472111
## 2005-03-31 -0.017464246 -0.018292862 -0.00454621
## 2005-04-29 -0.043478157 -0.018735210  0.03865047
## 2005-05-31  0.088622060  0.032224536  0.03137680
## 2005-06-30 -0.033245829  0.001515213  0.02164730

dim(X)

## [1] 195   8

fama_lib_month <- to.monthly(fama_lib, indexAt = "last", OHLC = FALSE) # indexAt = 'endof'
head(fama_lib_month)

##            Mkt.RF   SMB   HML
## 1926-07-31   0.46 -0.12 -0.17
## 1926-08-31   0.58 -0.52 -0.04
## 1926-09-30   0.30 -0.22  0.06
## 1926-10-30  -0.25  0.20  0.25
## 1926-11-30   0.26  0.03 -0.50
## 1926-12-31   0.33  0.30  0.67

f <- fama_lib_month[dates]/100
head(f)

##             Mkt.RF     SMB     HML
## 2005-01-31  0.0097  0.0076  0.0014
## 2005-02-28 -0.0061  0.0027  0.0007
## 2005-03-31  0.0000 -0.0006  0.0065
## 2005-04-29  0.0104 -0.0040 -0.0003
## 2005-05-31 -0.0049  0.0046  0.0033
## 2005-06-30 -0.0063  0.0021  0.0025

dim(f)

## [1] 195   3

#====================================================================== # Use Professor Palomar’s package to compute estimated coefficients # Based on CAPM model, compute covariance matrix for the 8-asset portfolio by using past 60-month returns from 2010/01 - 2014/12. #====================================================================== #devtools::install_github(“dppalomar/covFactorModel”)

library(covFactorModel)
# 
insample_range <- '2010-01::2014-12'
one_factor_model <- factorModel(X[insample_range], type = "M", econ_fact = f$Mkt.RF[insample_range])
names(one_factor_model)

## [1] "alpha"    "beta"     "factors"  "residual"

cbind(alpha = one_factor_model$alpha, beta = one_factor_model$beta)

##           alpha     Mkt.RF
## EEM 0.002876790  0.7444083
## EFA 0.006013021  0.9924506
## GLD 0.002504998  0.3016108
## IWM 0.013760810  0.4863524
## IYR 0.013104027  0.4457599
## QQQ 0.015533326 -0.0419752
## SPY 0.012892375  0.3864445
## TLT 0.008767361 -0.5248883

#====================================================================== # we can do the fitting using a more compact matrix notation

F_ <- cbind(ones = 1, f$Mkt.RF[insample_range])
Gamma <- t(X[insample_range]) %*% F_ %*% solve(t(F_) %*% F_)  # better: Gamma <- t(solve(t(F_) %*% F_, t(F_) %*% X))
colnames(Gamma) <- c("alpha", "beta")
alpha <- Gamma[, 1]  # or alpha <- Gamma[, "alpha"]
beta <- Gamma[, 2]   # or beta <- Gamma[, "beta"]
print(Gamma)

##           alpha       beta
## EEM 0.002876790  0.7444083
## EFA 0.006013021  0.9924506
## GLD 0.002504998  0.3016108
## IWM 0.013760810  0.4863524
## IYR 0.013104027  0.4457599
## QQQ 0.015533326 -0.0419752
## SPY 0.012892375  0.3864445
## TLT 0.008767361 -0.5248883

# compute Sigma
X <- X[insample_range]
f <- f$Mkt.RF[insample_range]
T <- dim(X)[1]
E <- xts(t(t(X) - Gamma %*% t(F_)), index(X))  # residuals
Psi <- (1/(T-2)) * t(E) %*% E
Sigma <- as.numeric(var(f)) * beta %o% beta + diag(diag(Psi))
Sigma # This is covariance matrix computed from single factor model

##               EEM           EFA           GLD           IWM           IYR
## EEM  3.517255e-03  8.069511e-05  2.452366e-05  3.954480e-05  3.624427e-05
## EFA  8.069511e-05  2.507873e-03  3.269512e-05  5.272142e-05  4.832113e-05
## GLD  2.452366e-05  3.269512e-05  2.832805e-03  1.602231e-05  1.468504e-05
## IWM  3.954480e-05  5.272142e-05  1.602231e-05  2.752697e-03  2.367986e-05
## IYR  3.624427e-05  4.832113e-05  1.468504e-05  2.367986e-05  2.106207e-03
## QQQ -3.412959e-06 -4.550182e-06 -1.382824e-06 -2.229826e-06 -2.043718e-06
## SPY  3.142139e-05  4.189123e-05  1.273096e-05  2.052888e-05  1.881548e-05
## TLT -4.267811e-05 -5.689878e-05 -1.729183e-05 -2.788336e-05 -2.555613e-05
##               QQQ           SPY           TLT
## EEM -3.412959e-06  3.142139e-05 -4.267811e-05
## EFA -4.550182e-06  4.189123e-05 -5.689878e-05
## GLD -1.382824e-06  1.273096e-05 -1.729183e-05
## IWM -2.229826e-06  2.052888e-05 -2.788336e-05
## IYR -2.043718e-06  1.881548e-05 -2.555613e-05
## QQQ  1.935210e-03 -1.771769e-06  2.406505e-06
## SPY -1.771769e-06  1.430684e-03 -2.215548e-05
## TLT  2.406505e-06 -2.215548e-05  1.518613e-03

#======================================================================= # We can also use lm() to compute estimated coefficients

fit = lm(formula = X~f)
sigF = as.numeric(var(f))
beta_ = as.matrix(fit$coefficients)
beta_ = as.matrix(beta_[-1,])
beta_

##           [,1]
## EEM  0.7444083
## EFA  0.9924506
## GLD  0.3016108
## IWM  0.4863524
## IYR  0.4457599
## QQQ -0.0419752
## SPY  0.3864445
## TLT -0.5248883

sigeps = crossprod(fit$residuals)/(T-2)
# sigeps = as.matrix(var(fit$residuals)) #  you can use this way too
sigeps = diag(diag(sigeps))
sigeps

##             [,1]       [,2]        [,3]        [,4]        [,5]        [,6]
## [1,] 0.003456728 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
## [2,] 0.000000000 0.00240029 0.000000000 0.000000000 0.000000000 0.000000000
## [3,] 0.000000000 0.00000000 0.002822869 0.000000000 0.000000000 0.000000000
## [4,] 0.000000000 0.00000000 0.000000000 0.002726861 0.000000000 0.000000000
## [5,] 0.000000000 0.00000000 0.000000000 0.000000000 0.002084503 0.000000000
## [6,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.001935018
## [7,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
## [8,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
##             [,7]       [,8]
## [1,] 0.000000000 0.00000000
## [2,] 0.000000000 0.00000000
## [3,] 0.000000000 0.00000000
## [4,] 0.000000000 0.00000000
## [5,] 0.000000000 0.00000000
## [6,] 0.000000000 0.00000000
## [7,] 0.001414372 0.00000000
## [8,] 0.000000000 0.00148852

cov_1f = sigF*beta_%*%t(beta_)+sigeps
cov_1f # This is covariance matrix computed from single factor model (from lm())

##               EEM           EFA           GLD           IWM           IYR
## EEM  3.517255e-03  8.069511e-05  2.452366e-05  3.954480e-05  3.624427e-05
## EFA  8.069511e-05  2.507873e-03  3.269512e-05  5.272142e-05  4.832113e-05
## GLD  2.452366e-05  3.269512e-05  2.832805e-03  1.602231e-05  1.468504e-05
## IWM  3.954480e-05  5.272142e-05  1.602231e-05  2.752697e-03  2.367986e-05
## IYR  3.624427e-05  4.832113e-05  1.468504e-05  2.367986e-05  2.106207e-03
## QQQ -3.412959e-06 -4.550182e-06 -1.382824e-06 -2.229826e-06 -2.043718e-06
## SPY  3.142139e-05  4.189123e-05  1.273096e-05  2.052888e-05  1.881548e-05
## TLT -4.267811e-05 -5.689878e-05 -1.729183e-05 -2.788336e-05 -2.555613e-05
##               QQQ           SPY           TLT
## EEM -3.412959e-06  3.142139e-05 -4.267811e-05
## EFA -4.550182e-06  4.189123e-05 -5.689878e-05
## GLD -1.382824e-06  1.273096e-05 -1.729183e-05
## IWM -2.229826e-06  2.052888e-05 -2.788336e-05
## IYR -2.043718e-06  1.881548e-05 -2.555613e-05
## QQQ  1.935210e-03 -1.771769e-06  2.406505e-06
## SPY -1.771769e-06  1.430684e-03 -2.215548e-05
## TLT  2.406505e-06 -2.215548e-05  1.518613e-03

#======================================================================= # Backtesting portfolio using SIT package #=======================================================================

dates <- '2005-01::2021-03'
X <- monthly.ret[dates]
head(X)

##                     EEM          EFA         GLD         IWM         IYR
## 2005-01-31 -0.005300927 -0.019032896 -0.03607301 -0.04061765 -0.08522709
## 2005-02-28  0.096822276  0.037849999  0.03102790  0.01642013  0.03336316
## 2005-03-31 -0.079102867 -0.026233797 -0.01631057 -0.02834775 -0.02539386
## 2005-04-29 -0.012475230 -0.016176517  0.01237735 -0.05656975  0.05623877
## 2005-05-31  0.031607073 -0.008637314 -0.03921560  0.06464804  0.03746519
## 2005-06-30  0.039690255  0.014327225  0.04297712  0.04076246  0.04489641
##                     QQQ          SPY         TLT
## 2005-01-31 -0.063126280 -0.022420643  0.03568583
## 2005-02-28 -0.004812497  0.020903921 -0.01472111
## 2005-03-31 -0.017464246 -0.018292862 -0.00454621
## 2005-04-29 -0.043478157 -0.018735210  0.03865047
## 2005-05-31  0.088622060  0.032224536  0.03137680
## 2005-06-30 -0.033245829  0.001515213  0.02164730

dim(X)

## [1] 195   8

tail(X)

##                     EEM          EFA          GLD        IWM          IYR
## 2020-10-30  0.014062065 -0.035506689 -0.005194207 0.02203089 -0.029183239
## 2020-11-30  0.089912740  0.142694202 -0.054086261 0.18244176  0.085795401
## 2020-12-31  0.071294611  0.050154109  0.070138616 0.08646447  0.025033875
## 2021-01-29  0.031739982 -0.007812476 -0.032238170 0.04845461 -0.004319908
## 2021-02-26  0.007878410  0.022378750 -0.062568814 0.06202572  0.024273001
## 2021-03-31 -0.007258482  0.025131731 -0.011433107 0.01395024  0.057740659
##                     QQQ         SPY         TLT
## 2020-10-30 -0.030449217 -0.02493365 -0.03385220
## 2020-11-30  0.112257685  0.10877692  0.01663902
## 2020-12-31  0.049024387  0.03704831 -0.01227648
## 2021-01-29  0.002613643 -0.01019039 -0.03632779
## 2021-02-26 -0.001335179  0.02780547 -0.05732945
## 2021-03-31  0.017167708  0.04539929 -0.05245276

#
prices_monthly <- to.monthly(datas$prices, indexAt = "last", OHLC = FALSE) # indexAt = 'endof'
head(prices_monthly)

##                 EEM      EFA   GLD      IWM      IYR      QQQ      SPY      TLT
## 2004-11-30 15.71955 32.06215 45.12 50.62437 30.52871 34.01894 84.98910 50.88067
## 2004-12-31 16.46561 33.60329 43.80 51.83453 32.11852 35.04711 87.54905 52.23348
## 2005-01-31 16.37833 32.96373 42.22 49.72914 29.38115 32.83472 85.58614 54.09748
## 2005-02-28 17.96411 34.21140 43.53 50.54570 30.36140 32.67670 87.37523 53.30110
## 2005-03-31 16.54310 33.31391 42.82 49.11284 29.59041 32.10603 85.77689 53.05878
## 2005-04-29 16.33672 32.77501 43.35 46.33454 31.25453 30.71012 84.16984 55.10953

prices_monthly <- prices_monthly[dates]
head(prices_monthly)

##                 EEM      EFA   GLD      IWM      IYR      QQQ      SPY      TLT
## 2005-01-31 16.37833 32.96373 42.22 49.72914 29.38115 32.83472 85.58614 54.09748
## 2005-02-28 17.96411 34.21140 43.53 50.54570 30.36140 32.67670 87.37523 53.30110
## 2005-03-31 16.54310 33.31391 42.82 49.11284 29.59041 32.10603 85.77689 53.05878
## 2005-04-29 16.33672 32.77501 43.35 46.33454 31.25453 30.71012 84.16984 55.10953
## 2005-05-31 16.85308 32.49192 41.65 49.32997 32.42549 33.43171 86.88217 56.83869
## 2005-06-30 17.52198 32.95744 43.44 51.34079 33.88128 32.32025 87.01382 58.06910

tail(prices_monthly)

##                 EEM      EFA    GLD      IWM      IYR      QQQ      SPY
## 2020-10-30 44.05957 59.97956 176.20 152.0988 76.19470 268.5534 324.0925
## 2020-11-30 48.02109 68.53829 166.67 179.8480 82.73186 298.7006 359.3463
## 2020-12-31 51.44474 71.97577 178.36 195.3985 84.80296 313.3442 372.6595
## 2021-01-29 53.07759 71.41346 172.61 204.8664 84.43662 314.1632 368.8619
## 2021-02-26 53.49576 73.01160 161.81 217.5734 86.48614 313.7437 379.1183
## 2021-03-31 53.10746 74.84651 159.96 220.6086 91.47991 319.1300 396.3300
##                 TLT
## 2020-10-30 156.0386
## 2020-11-30 158.6349
## 2020-12-31 156.6874
## 2021-01-29 150.9953
## 2021-02-26 142.3389
## 2021-03-31 134.8728

#*****************************************************************
# Code Strategies
#****************************************************************** 
# We need to create environment variable required by SIT 
# data_m <- new.env()
#
# data_m$EEM <- prices_monthly$EEM
# colnames(data_m$EEM) <- 'Close'
# head(data_m$EEM)
# Change column names to Close which will be consistent with the requirement of SIT package
# data_m$SPY <- prices_monthly$SPY %>% `colnames<-` (c("Close"))
# data_m$QQQ <- prices_monthly$QQQ %>% `colnames<-` (c("Close"))
# data_m$EEM <- prices_monthly$EEM %>% `colnames<-` (c("Close"))
# data_m$IWM <- prices_monthly$IWM %>% `colnames<-` (c("Close"))
# data_m$EFA <- prices_monthly$EFA %>% `colnames<-` (c("Close"))
# data_m$TLT <- prices_monthly$TLT %>% `colnames<-` (c("Close"))
# data_m$IYR <- prices_monthly$IYR %>% `colnames<-` (c("Close"))
# data_m$GLD <- prices_monthly$GLD %>% `colnames<-` (c("Close"))
# names(data_m)
# head(data_m$EEM)

Using loop to save time in naming

data_m <- list()
#i = 1
for ( i in 1:length(tickers)){
  data_m[[tickers[i]]] <- prices_monthly[,i] %>% `colnames<-` (c("Close"))
}

data_env <- new.env()

list2env(data_m, envir = data_env)

convert from list to environment variable because SIT package requires

the input data to be environmental variable which can be processed using bt.prep()

data_m <- list2env(data_m)
names(data_m)

## [1] "GLD" "IYR" "TLT" "EFA" "IWM" "EEM" "QQQ" "SPY"

# Check if the column name is 'Close'
head(data_m$EEM)

##            Close
## 2005-01-31 42.22
## 2005-02-28 43.53
## 2005-03-31 42.82
## 2005-04-29 43.35
## 2005-05-31 41.65
## 2005-06-30 43.44

#
bt.prep(data_m, align='remove.na', dates = dates)
names(data_m)

##  [1] "prices"          "execution.price" "weight"          "dates"          
##  [5] "symbolnames"     "GLD"             "IYR"             "TLT"            
##  [9] "EFA"             "IWM"             "EEM"             "QQQ"            
## [13] "SPY"

#=============================================================== # Equal weighting portfolio # Equal Weight 1/N Benchmark #===============================================================

models <- list()
prices <- data_m$prices
# data_m$weight[] = NA
N <- length(tickers)
data_m$weight = ntop(prices, N)       
head(data_m$weight)

##                       EEM   EFA   GLD   IWM   IYR   QQQ   SPY   TLT
## 2005-01-31 08:00:00 0.125 0.125 0.125 0.125 0.125 0.125 0.125 0.125
## 2005-02-28 08:00:00 0.125 0.125 0.125 0.125 0.125 0.125 0.125 0.125
## 2005-03-31 08:00:00 0.125 0.125 0.125 0.125 0.125 0.125 0.125 0.125
## 2005-04-29 08:00:00 0.125 0.125 0.125 0.125 0.125 0.125 0.125 0.125
## 2005-05-31 08:00:00 0.125 0.125 0.125 0.125 0.125 0.125 0.125 0.125
## 2005-06-30 08:00:00 0.125 0.125 0.125 0.125 0.125 0.125 0.125 0.125

data_m$weight[1:59, ] <- NA
models$equal.weight = bt.run.share(data_m)

## Latest weights :
##                     EEM   EFA GLD   IWM   IYR  QQQ  SPY  TLT
## 2021-03-31 08:00:00 5.8 10.97 8.3 15.73 16.34 7.12 6.24 29.5
## 
## Performance summary :
##  CAGR    Best    Worst   
##  7.7 10.2    -10.7   

# head(models$equal.weight$ret, 62)
# Slightly difference between bt.run.share() and bt.run() 
capital = 100000
data_m$weight[] = (capital / prices) * data_m$weight
models$equal.weight.share = bt.run(data_m, type='share')

## Latest weights :
##                      EEM  EFA  GLD  IWM  IYR  QQQ  SPY  TLT
## 2021-03-31 08:00:00 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5
## 
## Performance summary :
##  CAGR    Best    Worst   
##  7.2 9.7 -10.6   

# head(models$equal.weight.share$ret, 62)
# head(equal.weight$ret)

#================================================================
# MVP portfolio
#*****************************************************************
# Create Constraints
#*****************************************************************
constraints = new.constraints(N, lb = -Inf, ub = +Inf)
# SUM x.i = 1
constraints = add.constraints(rep(1, N), 1, type = '=', constraints)        

ret = prices / mlag(prices) - 1
weight = coredata(ret)
weight[] = NA

head(data_m\(weight) # compute covariance matrix based on historical 60 months returns # i = 60 # To make covariance matrix estimate more stable, use the Ledoit-Wolf covariance shrinkage estimator from tawny package # 1. ia\)cov = tawny::cov.shrink(hist) or

2. ia\(cov = cor(coredata(hist), use='complete.obs', method='spearman') * (s0 %*% t(s0)) or # 3. ia\)cov = cor(coredata(hist), use=‘complete.obs’, method=‘kendall’) * (s0 %*% t(s0)

i = 60

for( i in 60:dim(weight)[1]) {
  hist = ret[ (i- 60 + 1):i, ]
  # create historical input assumptions
  ia = create.historical.ia(hist, 12) # 12 is annulized factor for monthly returns
  s0 = apply(na.omit(coredata(hist)), 2, sd)     
  ia$cov = cor(coredata(hist), use='complete.obs',method='pearson') * (s0 %*% t(s0))
  weight[i,] = min.risk.portfolio(ia, constraints) # use SIT's function min.risk.portfolio()
}

## Loading required package: kernlab

## 
## Attaching package: 'kernlab'

## The following object is masked from 'package:SIT':
## 
##     cross

## The following object is masked from 'package:purrr':
## 
##     cross

dim(weight)

## [1] 195   8

# 195 8

head(weight, 70)

##             EEM        EFA       GLD        IWM       IYR          QQQ
##  [1,]        NA         NA        NA         NA        NA           NA
##  [2,]        NA         NA        NA         NA        NA           NA
##  [3,]        NA         NA        NA         NA        NA           NA
##  [4,]        NA         NA        NA         NA        NA           NA
##  [5,]        NA         NA        NA         NA        NA           NA
##  [6,]        NA         NA        NA         NA        NA           NA
##  [7,]        NA         NA        NA         NA        NA           NA
##  [8,]        NA         NA        NA         NA        NA           NA
##  [9,]        NA         NA        NA         NA        NA           NA
## [10,]        NA         NA        NA         NA        NA           NA
## [11,]        NA         NA        NA         NA        NA           NA
## [12,]        NA         NA        NA         NA        NA           NA
## [13,]        NA         NA        NA         NA        NA           NA
## [14,]        NA         NA        NA         NA        NA           NA
## [15,]        NA         NA        NA         NA        NA           NA
## [16,]        NA         NA        NA         NA        NA           NA
## [17,]        NA         NA        NA         NA        NA           NA
## [18,]        NA         NA        NA         NA        NA           NA
## [19,]        NA         NA        NA         NA        NA           NA
## [20,]        NA         NA        NA         NA        NA           NA
## [21,]        NA         NA        NA         NA        NA           NA
## [22,]        NA         NA        NA         NA        NA           NA
## [23,]        NA         NA        NA         NA        NA           NA
## [24,]        NA         NA        NA         NA        NA           NA
## [25,]        NA         NA        NA         NA        NA           NA
## [26,]        NA         NA        NA         NA        NA           NA
## [27,]        NA         NA        NA         NA        NA           NA
## [28,]        NA         NA        NA         NA        NA           NA
## [29,]        NA         NA        NA         NA        NA           NA
## [30,]        NA         NA        NA         NA        NA           NA
## [31,]        NA         NA        NA         NA        NA           NA
## [32,]        NA         NA        NA         NA        NA           NA
## [33,]        NA         NA        NA         NA        NA           NA
## [34,]        NA         NA        NA         NA        NA           NA
## [35,]        NA         NA        NA         NA        NA           NA
## [36,]        NA         NA        NA         NA        NA           NA
## [37,]        NA         NA        NA         NA        NA           NA
## [38,]        NA         NA        NA         NA        NA           NA
## [39,]        NA         NA        NA         NA        NA           NA
## [40,]        NA         NA        NA         NA        NA           NA
## [41,]        NA         NA        NA         NA        NA           NA
## [42,]        NA         NA        NA         NA        NA           NA
## [43,]        NA         NA        NA         NA        NA           NA
## [44,]        NA         NA        NA         NA        NA           NA
## [45,]        NA         NA        NA         NA        NA           NA
## [46,]        NA         NA        NA         NA        NA           NA
## [47,]        NA         NA        NA         NA        NA           NA
## [48,]        NA         NA        NA         NA        NA           NA
## [49,]        NA         NA        NA         NA        NA           NA
## [50,]        NA         NA        NA         NA        NA           NA
## [51,]        NA         NA        NA         NA        NA           NA
## [52,]        NA         NA        NA         NA        NA           NA
## [53,]        NA         NA        NA         NA        NA           NA
## [54,]        NA         NA        NA         NA        NA           NA
## [55,]        NA         NA        NA         NA        NA           NA
## [56,]        NA         NA        NA         NA        NA           NA
## [57,]        NA         NA        NA         NA        NA           NA
## [58,]        NA         NA        NA         NA        NA           NA
## [59,]        NA         NA        NA         NA        NA           NA
## [60,] 0.2616114 -0.1677779 0.3137619 0.16510145 0.6615181 -0.088717288
## [61,] 0.2615207 -0.1679344 0.3138814 0.16555405 0.6620178 -0.088925669
## [62,] 0.2636862 -0.1704778 0.3181146 0.16736856 0.5971565 -0.034024492
## [63,] 0.2652524 -0.1701379 0.3193626 0.16454429 0.5937621 -0.030596129
## [64,] 0.2650807 -0.2068474 0.2974627 0.19409861 0.5460356  0.071743322
## [65,] 0.2553395 -0.1981995 0.3215216 0.19772722 0.5349180  0.007459424
## [66,] 0.2522602 -0.1841214 0.3343620 0.15308150 0.5188037  0.015749205
## [67,] 0.2495514 -0.1846625 0.3336711 0.14802135 0.5174467  0.034310666
## [68,] 0.2497068 -0.1897052 0.3313453 0.15664578 0.5097194  0.047514694
## [69,] 0.2300927 -0.1490394 0.3699794 0.08562841 0.5826549 -0.030799606
## [70,] 0.2229483 -0.1502981 0.3801203 0.09595363 0.5912848 -0.054613233
##              SPY       TLT
##  [1,]         NA        NA
##  [2,]         NA        NA
##  [3,]         NA        NA
##  [4,]         NA        NA
##  [5,]         NA        NA
##  [6,]         NA        NA
##  [7,]         NA        NA
##  [8,]         NA        NA
##  [9,]         NA        NA
## [10,]         NA        NA
## [11,]         NA        NA
## [12,]         NA        NA
## [13,]         NA        NA
## [14,]         NA        NA
## [15,]         NA        NA
## [16,]         NA        NA
## [17,]         NA        NA
## [18,]         NA        NA
## [19,]         NA        NA
## [20,]         NA        NA
## [21,]         NA        NA
## [22,]         NA        NA
## [23,]         NA        NA
## [24,]         NA        NA
## [25,]         NA        NA
## [26,]         NA        NA
## [27,]         NA        NA
## [28,]         NA        NA
## [29,]         NA        NA
## [30,]         NA        NA
## [31,]         NA        NA
## [32,]         NA        NA
## [33,]         NA        NA
## [34,]         NA        NA
## [35,]         NA        NA
## [36,]         NA        NA
## [37,]         NA        NA
## [38,]         NA        NA
## [39,]         NA        NA
## [40,]         NA        NA
## [41,]         NA        NA
## [42,]         NA        NA
## [43,]         NA        NA
## [44,]         NA        NA
## [45,]         NA        NA
## [46,]         NA        NA
## [47,]         NA        NA
## [48,]         NA        NA
## [49,]         NA        NA
## [50,]         NA        NA
## [51,]         NA        NA
## [52,]         NA        NA
## [53,]         NA        NA
## [54,]         NA        NA
## [55,]         NA        NA
## [56,]         NA        NA
## [57,]         NA        NA
## [58,]         NA        NA
## [59,]         NA        NA
## [60,] -0.3073822 0.1618845
## [61,] -0.3074320 0.1613182
## [62,] -0.3371477 0.1953242
## [63,] -0.3407329 0.1985455
## [64,] -0.3843302 0.2167568
## [65,] -0.3561315 0.2373652
## [66,] -0.3504420 0.2603067
## [67,] -0.3567762 0.2584375
## [68,] -0.3631559 0.2579292
## [69,] -0.3195635 0.2310471
## [70,] -0.2963854 0.2109897

tail(weight)

##                 EEM        EFA       GLD          IWM       IYR       QQQ
## [190,] -0.005330806 -0.2968535 0.6276894  0.097776688 0.5266728 0.4753708
## [191,]  0.075616971 -0.2650811 0.5739815 -0.001065799 0.6989109 0.3191030
## [192,]  0.064994997 -0.2922814 0.5918773  0.021413443 0.7028749 0.2955531
## [193,]  0.065231538 -0.3047734 0.6117433  0.085945200 0.6157116 0.2632564
## [194,]  0.084853359 -0.3116180 0.5998285  0.097557565 0.6804997 0.2474342
## [195,]  0.089166770 -0.2844546 0.5743361  0.054407467 0.7456335 0.2633665
##                SPY        TLT
## [190,] -0.12961708 -0.2957083
## [191,] -0.09365921 -0.3078062
## [192,] -0.07396796 -0.3104644
## [193,] -0.04001077 -0.2971038
## [194,] -0.04821334 -0.3503419
## [195,] -0.06558575 -0.3768699

Assign minimum variance weights to data_m$weight

capital = 100000
data_m$weight <- data_m$prices
data_m$weight[] <- NA
data_m$weight[] <- weight     
data_m$weight[] = (capital / prices) * data_m$weight
models$mvp.hist.cov = bt.run(data_m, type='share')

## Latest weights :
##                      EEM    EFA   GLD  IWM   IYR   QQQ   SPY    TLT
## 2021-03-31 08:00:00 8.49 -31.16 59.98 9.76 68.05 24.74 -4.82 -35.03
## 
## Performance summary :
##  CAGR    Best    Worst   
##  7.3 8.3 -5.9    

#=================================================================
# CAPM model (single factor model)
#*****************************************************************
# Create Constraints
#*****************************************************************
constraints = new.constraints(N, lb = -Inf, ub = +Inf)
# SUM x.i = 1
constraints = add.constraints(rep(1, N), 1, type = '=', constraints)        

#
ret = prices / mlag(prices) - 1
weight_1 = coredata(ret)
weight_1[] = NA

head(data_m$weight)

compute covariance matrix based on historical 60 months returns

i = 60

f <- fama_lib_month[dates]/100

for( i in 60:dim(weight_1)[1]) {
  hist = ret[ (i- 60 + 1):i, ]
  Xi <- hist
  fi <- f$Mkt.RF[(i - 60 + 1):i, ]
  fiti = lm(formula = Xi ~ fi)
  sigF = as.numeric(var(fi))
  beta_ = as.matrix(fiti$coefficients)
  beta_ = as.matrix(beta_[-1,])
  sigeps = crossprod(fiti$residuals)/(T-2)
  # sigeps = as.matrix(var(fit$residuals)) #  you can use this way too
  sigeps = diag(diag(sigeps))
  cov_1f = sigF*beta_%*%t(beta_)+sigeps
  # cov_1f
  ia$cov = cov_1f
  weight_1[i, ] = min.risk.portfolio(ia, constraints)
}

dim(weight_1)

## [1] 195   8

195 8

head(weight_1, 70)

##             EEM        EFA       GLD       IWM       IYR       QQQ        SPY
##  [1,]        NA         NA        NA        NA        NA        NA         NA
##  [2,]        NA         NA        NA        NA        NA        NA         NA
##  [3,]        NA         NA        NA        NA        NA        NA         NA
##  [4,]        NA         NA        NA        NA        NA        NA         NA
##  [5,]        NA         NA        NA        NA        NA        NA         NA
##  [6,]        NA         NA        NA        NA        NA        NA         NA
##  [7,]        NA         NA        NA        NA        NA        NA         NA
##  [8,]        NA         NA        NA        NA        NA        NA         NA
##  [9,]        NA         NA        NA        NA        NA        NA         NA
## [10,]        NA         NA        NA        NA        NA        NA         NA
## [11,]        NA         NA        NA        NA        NA        NA         NA
## [12,]        NA         NA        NA        NA        NA        NA         NA
## [13,]        NA         NA        NA        NA        NA        NA         NA
## [14,]        NA         NA        NA        NA        NA        NA         NA
## [15,]        NA         NA        NA        NA        NA        NA         NA
## [16,]        NA         NA        NA        NA        NA        NA         NA
## [17,]        NA         NA        NA        NA        NA        NA         NA
## [18,]        NA         NA        NA        NA        NA        NA         NA
## [19,]        NA         NA        NA        NA        NA        NA         NA
## [20,]        NA         NA        NA        NA        NA        NA         NA
## [21,]        NA         NA        NA        NA        NA        NA         NA
## [22,]        NA         NA        NA        NA        NA        NA         NA
## [23,]        NA         NA        NA        NA        NA        NA         NA
## [24,]        NA         NA        NA        NA        NA        NA         NA
## [25,]        NA         NA        NA        NA        NA        NA         NA
## [26,]        NA         NA        NA        NA        NA        NA         NA
## [27,]        NA         NA        NA        NA        NA        NA         NA
## [28,]        NA         NA        NA        NA        NA        NA         NA
## [29,]        NA         NA        NA        NA        NA        NA         NA
## [30,]        NA         NA        NA        NA        NA        NA         NA
## [31,]        NA         NA        NA        NA        NA        NA         NA
## [32,]        NA         NA        NA        NA        NA        NA         NA
## [33,]        NA         NA        NA        NA        NA        NA         NA
## [34,]        NA         NA        NA        NA        NA        NA         NA
## [35,]        NA         NA        NA        NA        NA        NA         NA
## [36,]        NA         NA        NA        NA        NA        NA         NA
## [37,]        NA         NA        NA        NA        NA        NA         NA
## [38,]        NA         NA        NA        NA        NA        NA         NA
## [39,]        NA         NA        NA        NA        NA        NA         NA
## [40,]        NA         NA        NA        NA        NA        NA         NA
## [41,]        NA         NA        NA        NA        NA        NA         NA
## [42,]        NA         NA        NA        NA        NA        NA         NA
## [43,]        NA         NA        NA        NA        NA        NA         NA
## [44,]        NA         NA        NA        NA        NA        NA         NA
## [45,]        NA         NA        NA        NA        NA        NA         NA
## [46,]        NA         NA        NA        NA        NA        NA         NA
## [47,]        NA         NA        NA        NA        NA        NA         NA
## [48,]        NA         NA        NA        NA        NA        NA         NA
## [49,]        NA         NA        NA        NA        NA        NA         NA
## [50,]        NA         NA        NA        NA        NA        NA         NA
## [51,]        NA         NA        NA        NA        NA        NA         NA
## [52,]        NA         NA        NA        NA        NA        NA         NA
## [53,]        NA         NA        NA        NA        NA        NA         NA
## [54,]        NA         NA        NA        NA        NA        NA         NA
## [55,]        NA         NA        NA        NA        NA        NA         NA
## [56,]        NA         NA        NA        NA        NA        NA         NA
## [57,]        NA         NA        NA        NA        NA        NA         NA
## [58,]        NA         NA        NA        NA        NA        NA         NA
## [59,]        NA         NA        NA        NA        NA        NA         NA
## [60,] 0.1209712 0.04765990 0.2676264 0.1041353 0.1787375 0.1084677 0.05757474
## [61,] 0.1218326 0.04791117 0.2644415 0.1054287 0.1798964 0.1086349 0.05752497
## [62,] 0.1218325 0.04775342 0.2638965 0.1049113 0.1794727 0.1094000 0.05867951
## [63,] 0.1237218 0.04751794 0.2662594 0.1035674 0.1771636 0.1091638 0.05989474
## [64,] 0.1234179 0.04771378 0.2654983 0.1041413 0.1775322 0.1093053 0.05975201
## [65,] 0.1280629 0.04856270 0.2603770 0.1060043 0.1747242 0.1055293 0.06001341
## [66,] 0.1306328 0.04927641 0.2543707 0.1053582 0.1742747 0.1072127 0.06124196
## [67,] 0.1293883 0.04932461 0.2587344 0.1065575 0.1724969 0.1028499 0.06122089
## [68,] 0.1314429 0.05069697 0.2504287 0.1063037 0.1737519 0.1051221 0.06224046
## [69,] 0.1363009 0.05170050 0.2591142 0.1024410 0.1689273 0.1040239 0.06296733
## [70,] 0.1370451 0.05175304 0.2542580 0.1034499 0.1696565 0.1045664 0.06434420
##             TLT
##  [1,]        NA
##  [2,]        NA
##  [3,]        NA
##  [4,]        NA
##  [5,]        NA
##  [6,]        NA
##  [7,]        NA
##  [8,]        NA
##  [9,]        NA
## [10,]        NA
## [11,]        NA
## [12,]        NA
## [13,]        NA
## [14,]        NA
## [15,]        NA
## [16,]        NA
## [17,]        NA
## [18,]        NA
## [19,]        NA
## [20,]        NA
## [21,]        NA
## [22,]        NA
## [23,]        NA
## [24,]        NA
## [25,]        NA
## [26,]        NA
## [27,]        NA
## [28,]        NA
## [29,]        NA
## [30,]        NA
## [31,]        NA
## [32,]        NA
## [33,]        NA
## [34,]        NA
## [35,]        NA
## [36,]        NA
## [37,]        NA
## [38,]        NA
## [39,]        NA
## [40,]        NA
## [41,]        NA
## [42,]        NA
## [43,]        NA
## [44,]        NA
## [45,]        NA
## [46,]        NA
## [47,]        NA
## [48,]        NA
## [49,]        NA
## [50,]        NA
## [51,]        NA
## [52,]        NA
## [53,]        NA
## [54,]        NA
## [55,]        NA
## [56,]        NA
## [57,]        NA
## [58,]        NA
## [59,]        NA
## [60,] 0.1148273
## [61,] 0.1143297
## [62,] 0.1140540
## [63,] 0.1127113
## [64,] 0.1126392
## [65,] 0.1167262
## [66,] 0.1176325
## [67,] 0.1194275
## [68,] 0.1200134
## [69,] 0.1145249
## [70,] 0.1149269

tail(weight_1)

##              EEM       EFA       GLD        IWM       IYR       QQQ        SPY
## [190,] 0.1413130 0.1063577 0.2021263 0.07271722 0.1385378 0.1495340 0.08019978
## [191,] 0.1530077 0.1091195 0.2109322 0.06735879 0.1339534 0.1323657 0.08608003
## [192,] 0.1484053 0.1097056 0.2117118 0.06756547 0.1353521 0.1322627 0.08683118
## [193,] 0.1494196 0.1032940 0.2279407 0.06777918 0.1344382 0.1292639 0.07830025
## [194,] 0.1544169 0.1031052 0.2167006 0.06814857 0.1355520 0.1323782 0.07785499
## [195,] 0.1523652 0.1054041 0.2091620 0.06839674 0.1345490 0.1334191 0.08449248
##              TLT
## [190,] 0.1092143
## [191,] 0.1071827
## [192,] 0.1081659
## [193,] 0.1095641
## [194,] 0.1118435
## [195,] 0.1122114

Assign minimum variance weights to data_m$weight

capital = 100000
data_m$weight <- data_m$prices
data_m$weight[] <- NA
data_m$weight[] <- weight_1     
data_m$weight[] = (capital / prices) * data_m$weight
models$mvp.capm.cov = bt.run(data_m, type='share')

## Latest weights :
##                       EEM   EFA   GLD  IWM   IYR   QQQ  SPY   TLT
## 2021-03-31 08:00:00 15.44 10.31 21.67 6.81 13.56 13.24 7.79 11.18
## 
## Performance summary :
##  CAGR    Best    Worst   
##  7.3 8.4 -9.6    

models$mvp.capm.cov$cagr

## [1] 0.07308191

models$mvp.hist.cov$cagr

## [1] 0.07335643

#================================================================= # FF 3 factor model #***************************************************************** # Create Constraints #*****************************************************************

constraints = new.constraints(N, lb = -Inf, ub = +Inf)
# SUM x.i = 1
constraints = add.constraints(rep(1, N), 1, type = '=', constraints)        

ret = prices / mlag(prices) - 1
weight_3 = coredata(ret)
weight_3[] = NA

head(data_m$weight)

compute covariance matrix based on historical 60 months returns

i = 60

f <- fama_lib_month[dates]/100

for( i in 60:dim(weight_1)[1]) {
  hist = ret[ (i- 60 + 1):i, ]
  Xi <- hist
  fi <- f[(i - 60 + 1):i, ]
  fiti = lm(formula = Xi ~ fi)
  sigF = as.matrix(var(fi))
  beta_ = as.matrix(fiti$coefficients)
  beta_ = as.matrix(beta_[-1,])
  sigeps = crossprod(fiti$residuals)/(T-4) # note (T - 4)
  # sigeps = as.matrix(var(fit$residuals)) #  you can use this way too
  sigeps = diag(diag(sigeps))
  cov_3f = t(beta_)%*% sigF %*% beta_ + sigeps
  # cov_1f
  ia$cov = cov_3f
  weight_3[i, ] = min.risk.portfolio(ia, constraints)
}

dim(weight_3)

## [1] 195   8

# 195 8

head(weight_3, 70)

##             EEM        EFA       GLD        IWM       IYR        QQQ        SPY
##  [1,]        NA         NA        NA         NA        NA         NA         NA
##  [2,]        NA         NA        NA         NA        NA         NA         NA
##  [3,]        NA         NA        NA         NA        NA         NA         NA
##  [4,]        NA         NA        NA         NA        NA         NA         NA
##  [5,]        NA         NA        NA         NA        NA         NA         NA
##  [6,]        NA         NA        NA         NA        NA         NA         NA
##  [7,]        NA         NA        NA         NA        NA         NA         NA
##  [8,]        NA         NA        NA         NA        NA         NA         NA
##  [9,]        NA         NA        NA         NA        NA         NA         NA
## [10,]        NA         NA        NA         NA        NA         NA         NA
## [11,]        NA         NA        NA         NA        NA         NA         NA
## [12,]        NA         NA        NA         NA        NA         NA         NA
## [13,]        NA         NA        NA         NA        NA         NA         NA
## [14,]        NA         NA        NA         NA        NA         NA         NA
## [15,]        NA         NA        NA         NA        NA         NA         NA
## [16,]        NA         NA        NA         NA        NA         NA         NA
## [17,]        NA         NA        NA         NA        NA         NA         NA
## [18,]        NA         NA        NA         NA        NA         NA         NA
## [19,]        NA         NA        NA         NA        NA         NA         NA
## [20,]        NA         NA        NA         NA        NA         NA         NA
## [21,]        NA         NA        NA         NA        NA         NA         NA
## [22,]        NA         NA        NA         NA        NA         NA         NA
## [23,]        NA         NA        NA         NA        NA         NA         NA
## [24,]        NA         NA        NA         NA        NA         NA         NA
## [25,]        NA         NA        NA         NA        NA         NA         NA
## [26,]        NA         NA        NA         NA        NA         NA         NA
## [27,]        NA         NA        NA         NA        NA         NA         NA
## [28,]        NA         NA        NA         NA        NA         NA         NA
## [29,]        NA         NA        NA         NA        NA         NA         NA
## [30,]        NA         NA        NA         NA        NA         NA         NA
## [31,]        NA         NA        NA         NA        NA         NA         NA
## [32,]        NA         NA        NA         NA        NA         NA         NA
## [33,]        NA         NA        NA         NA        NA         NA         NA
## [34,]        NA         NA        NA         NA        NA         NA         NA
## [35,]        NA         NA        NA         NA        NA         NA         NA
## [36,]        NA         NA        NA         NA        NA         NA         NA
## [37,]        NA         NA        NA         NA        NA         NA         NA
## [38,]        NA         NA        NA         NA        NA         NA         NA
## [39,]        NA         NA        NA         NA        NA         NA         NA
## [40,]        NA         NA        NA         NA        NA         NA         NA
## [41,]        NA         NA        NA         NA        NA         NA         NA
## [42,]        NA         NA        NA         NA        NA         NA         NA
## [43,]        NA         NA        NA         NA        NA         NA         NA
## [44,]        NA         NA        NA         NA        NA         NA         NA
## [45,]        NA         NA        NA         NA        NA         NA         NA
## [46,]        NA         NA        NA         NA        NA         NA         NA
## [47,]        NA         NA        NA         NA        NA         NA         NA
## [48,]        NA         NA        NA         NA        NA         NA         NA
## [49,]        NA         NA        NA         NA        NA         NA         NA
## [50,]        NA         NA        NA         NA        NA         NA         NA
## [51,]        NA         NA        NA         NA        NA         NA         NA
## [52,]        NA         NA        NA         NA        NA         NA         NA
## [53,]        NA         NA        NA         NA        NA         NA         NA
## [54,]        NA         NA        NA         NA        NA         NA         NA
## [55,]        NA         NA        NA         NA        NA         NA         NA
## [56,]        NA         NA        NA         NA        NA         NA         NA
## [57,]        NA         NA        NA         NA        NA         NA         NA
## [58,]        NA         NA        NA         NA        NA         NA         NA
## [59,]        NA         NA        NA         NA        NA         NA         NA
## [60,] 0.1086653 0.03640379 0.3150999 0.09944960 0.1723140 0.10159750 0.05184225
## [61,] 0.1101950 0.03729326 0.3088587 0.10108502 0.1738393 0.10220966 0.05226919
## [62,] 0.1098933 0.03664470 0.3102012 0.10022803 0.1730759 0.10295347 0.05314710
## [63,] 0.1127870 0.03647831 0.3113929 0.09840624 0.1702868 0.10312384 0.05501932
## [64,] 0.1109484 0.03546325 0.3136310 0.09715025 0.1708138 0.10420537 0.05500179
## [65,] 0.1166917 0.03599155 0.3060271 0.09900308 0.1689317 0.10161860 0.05547003
## [66,] 0.1189824 0.03616340 0.3002916 0.09830669 0.1691139 0.10322713 0.05623069
## [67,] 0.1176566 0.03504116 0.3118497 0.09832195 0.1662331 0.09762610 0.05502624
## [68,] 0.1191976 0.03603774 0.3087696 0.09691597 0.1660069 0.09899503 0.05575286
## [69,] 0.1250913 0.03820538 0.3098745 0.09437139 0.1621198 0.09907927 0.05758802
## [70,] 0.1255868 0.03802725 0.3081156 0.09549337 0.1629683 0.09873162 0.05811369
##             TLT
##  [1,]        NA
##  [2,]        NA
##  [3,]        NA
##  [4,]        NA
##  [5,]        NA
##  [6,]        NA
##  [7,]        NA
##  [8,]        NA
##  [9,]        NA
## [10,]        NA
## [11,]        NA
## [12,]        NA
## [13,]        NA
## [14,]        NA
## [15,]        NA
## [16,]        NA
## [17,]        NA
## [18,]        NA
## [19,]        NA
## [20,]        NA
## [21,]        NA
## [22,]        NA
## [23,]        NA
## [24,]        NA
## [25,]        NA
## [26,]        NA
## [27,]        NA
## [28,]        NA
## [29,]        NA
## [30,]        NA
## [31,]        NA
## [32,]        NA
## [33,]        NA
## [34,]        NA
## [35,]        NA
## [36,]        NA
## [37,]        NA
## [38,]        NA
## [39,]        NA
## [40,]        NA
## [41,]        NA
## [42,]        NA
## [43,]        NA
## [44,]        NA
## [45,]        NA
## [46,]        NA
## [47,]        NA
## [48,]        NA
## [49,]        NA
## [50,]        NA
## [51,]        NA
## [52,]        NA
## [53,]        NA
## [54,]        NA
## [55,]        NA
## [56,]        NA
## [57,]        NA
## [58,]        NA
## [59,]        NA
## [60,] 0.1146277
## [61,] 0.1142498
## [62,] 0.1138563
## [63,] 0.1125056
## [64,] 0.1127861
## [65,] 0.1162663
## [66,] 0.1176842
## [67,] 0.1182451
## [68,] 0.1183243
## [69,] 0.1136703
## [70,] 0.1129633

tail(weight_3)

##              EEM        EFA       GLD        IWM       IYR       QQQ        SPY
## [190,] 0.1549355 0.08609960 0.2646421 0.06952750 0.1232350 0.1421436 0.07400823
## [191,] 0.2033578 0.08485686 0.2872285 0.04983516 0.1130077 0.1088674 0.07490921
## [192,] 0.1963120 0.08277953 0.2934710 0.04901811 0.1138193 0.1089926 0.07532942
## [193,] 0.1874174 0.08159049 0.2891819 0.05499795 0.1138827 0.1105822 0.07922779
## [194,] 0.1907257 0.07789281 0.2786011 0.05123821 0.1144900 0.1179247 0.07838959
## [195,] 0.1901015 0.07641187 0.2734975 0.04781209 0.1139058 0.1217670 0.08304036
##               TLT
## [190,] 0.08540846
## [191,] 0.07793742
## [192,] 0.08027802
## [193,] 0.08311955
## [194,] 0.09073795
## [195,] 0.09346383

Assign minimum variance weights to data_m$weight

capital = 100000
data_m$weight <- data_m$prices
data_m$weight[] <- NA
data_m$weight[] <- weight_3     
data_m$weight[] = (capital / prices) * data_m$weight
models$mvp.ff3.cov = bt.run(data_m, type='share')

## Latest weights :
##                       EEM  EFA   GLD  IWM   IYR   QQQ  SPY  TLT
## 2021-03-31 08:00:00 19.07 7.79 27.86 5.12 11.45 11.79 7.84 9.07
## 
## Performance summary :
##  CAGR    Best    Worst   
##  6.9 8.2 -9.6    

#============================================================ # Principal Component Analysis (PCA) #=============================================================

library(covFactorModel)
X_i <-X[1:60,] 
factor_pca <- factorModel(X_i, type = "S", K = 3, max_iter = 10)
cbind(alpha = factor_pca$alpha, beta = factor_pca$beta)

##           alpha      factor1      factor2      factor3
## EEM 0.014966330 -0.072995848 -0.025223806  0.015912578
## EFA 0.004450221 -0.054303740 -0.010673264  0.003127662
## GLD 0.016605778 -0.010404163 -0.045185821 -0.020460922
## IWM 0.002309847 -0.057063167  0.009895360  0.003359875
## IYR 0.003233901 -0.080047078  0.022932951 -0.031391887
## QQQ 0.004375515 -0.051032650  0.007263568  0.018319569
## SPY 0.001416370 -0.044316627  0.002240509  0.005419926
## TLT 0.004700261  0.003311493 -0.006222186 -0.008303706

Statistical 3-factor model

K <- 3
X_trn <- X_i
T_trn <- dim(X_i)[1]
alpha <- colMeans(X_trn)
X_trn_ <- X_trn - matrix(alpha, T_trn, N, byrow = TRUE)
Sigma_prev <- matrix(0, N, N)
Sigma <- (1/(T_trn-1)) * t(X_trn_) %*% X_trn_
eigSigma <- eigen(Sigma)
while (norm(Sigma - Sigma_prev, "F")/norm(Sigma, "F") > 1e-3) {
  B <- eigSigma$vectors[, 1:K] %*% diag(sqrt(eigSigma$values[1:K]), K, K)
  Psi <- diag(diag(Sigma - B %*% t(B)))
  Sigma_prev <- Sigma
  Sigma <- B %*% t(B) + Psi
  eigSigma <- eigen(Sigma - Psi)
}

B: factor loadings

B

##              [,1]         [,2]         [,3]
## [1,] -0.073668198 -0.023939149  0.019315208
## [2,] -0.054929130 -0.010666933  0.002906092
## [3,] -0.010604901 -0.050582972 -0.015382708
## [4,] -0.057466229  0.010629280  0.001168729
## [5,] -0.079900482  0.019998447 -0.034187296
## [6,] -0.051983353  0.009939836  0.019515092
## [7,] -0.044323197  0.002788358  0.003814386
## [8,]  0.003531188 -0.010450196 -0.017410489

fiti = lm(formula = X_i ~ t(B))

Sigma_PCA3 <- Sigma
Sigma_PCA3

##               [,1]         [,2]          [,3]          [,4]         [,5]
## [1,]  0.0065734326  0.004358019  1.695037e-03  4.001552e-03 0.0047470440
## [2,]  0.0043580191  0.003471151  1.077380e-03  3.046585e-03 0.0040761904
## [3,]  0.0016950370  0.001077380  3.181561e-03  5.378487e-05 0.0003616490
## [4,]  0.0040015519  0.003046585  5.378487e-05  3.670925e-03 0.0047641928
## [5,]  0.0047470440  0.004076190  3.616490e-04  4.764193e-03 0.0080502419
## [6,]  0.0039685068  0.002806085 -2.517031e-04  3.115748e-03 0.0036851080
## [7,]  0.0032721348  0.002415976  2.703241e-04  2.581183e-03 0.0034668041
## [8,] -0.0003462547 -0.000133090  7.589745e-04 -3.343502e-04 0.0001040862
##               [,6]          [,7]          [,8]
## [1,]  0.0039685068  0.0032721348 -0.0003462547
## [2,]  0.0028060854  0.0024159764 -0.0001330900
## [3,] -0.0002517031  0.0002703241  0.0007589745
## [4,]  0.0031157484  0.0025811832 -0.0003343502
## [5,]  0.0036851080  0.0034668041  0.0001040862
## [6,]  0.0035480551  0.0024062223 -0.0006272035
## [7,]  0.0024062223  0.0021435496 -0.0002520627
## [8,] -0.0006272035 -0.0002520627  0.0016311194

diag(Sigma_PCA3)

## [1] 0.006573433 0.003471151 0.003181561 0.003670925 0.008050242 0.003548055
## [7] 0.002143550 0.001631119

# error
norm(Sigma_PCA3 - cov(X_i), "F")

## [1] 0.001016899

#————————————————————— # By Eric Zivot # use R princomp() function for principal component analysis #—————————————————————

pc.fit = princomp(X_i)
class(pc.fit)

## [1] "princomp"

names(pc.fit)

## [1] "sdev"     "loadings" "center"   "scale"    "n.obs"    "scores"   "call"

pc.fit

## Call:
## princomp(x = X_i)
## 
## Standard deviations:
##      Comp.1      Comp.2      Comp.3      Comp.4      Comp.5      Comp.6 
## 0.150134523 0.062513742 0.049450523 0.038591273 0.025971338 0.017526513 
##      Comp.7      Comp.8 
## 0.016432920 0.009873601 
## 
##  8  variables and  60 observations.

summary(pc.fit)

## Importance of components:
##                           Comp.1     Comp.2     Comp.3     Comp.4     Comp.5
## Standard deviation     0.1501345 0.06251374 0.04945052 0.03859127 0.02597134
## Proportion of Variance 0.7103313 0.12315464 0.07706223 0.04693297 0.02125634
## Cumulative Proportion  0.7103313 0.83348591 0.91054815 0.95748111 0.97873745
##                             Comp.6      Comp.7      Comp.8
## Standard deviation     0.017526513 0.016432920 0.009873601
## Proportion of Variance 0.009680345 0.008509995 0.003072210
## Cumulative Proportion  0.988417795 0.996927790 1.000000000

#eigenvalues & eigenvectors

eig.value <- eigen(cov(X_i))$values
pc.fit

## Call:
## princomp(x = X_i)
## 
## Standard deviations:
##      Comp.1      Comp.2      Comp.3      Comp.4      Comp.5      Comp.6 
## 0.150134523 0.062513742 0.049450523 0.038591273 0.025971338 0.017526513 
##      Comp.7      Comp.8 
## 0.016432920 0.009873601 
## 
##  8  variables and  60 observations.

eig.vec <- eigen(cov(X_i))$vectors

B_hat <- eig.vec[, 1:3]%*%diag(sqrt(eig.value[1:3]), 3, 3)
B_hat

##              [,1]         [,2]         [,3]
## [1,] -0.073668198 -0.023939149  0.019315208
## [2,] -0.054929130 -0.010666933  0.002906092
## [3,] -0.010604901 -0.050582972 -0.015382708
## [4,] -0.057466229  0.010629280  0.001168729
## [5,] -0.079900482  0.019998447 -0.034187296
## [6,] -0.051983353  0.009939836  0.019515092
## [7,] -0.044323197  0.002788358  0.003814386
## [8,]  0.003531188 -0.010450196 -0.017410489

plot(pc.fit)

loadings(pc.fit)

## 
## Loadings:
##     Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 Comp.6 Comp.7 Comp.8
## EEM  0.487  0.380  0.387         0.365  0.537         0.170
## EFA  0.363  0.169         0.235  0.380 -0.633        -0.485
## GLD         0.802 -0.308 -0.352 -0.349                     
## IWM  0.380 -0.169               -0.266  0.141 -0.847 -0.139
## IYR  0.528 -0.317 -0.686 -0.200  0.118  0.146  0.275       
## QQQ  0.343 -0.158  0.391        -0.668         0.441 -0.249
## SPY  0.293                      -0.100 -0.483         0.808
## TLT         0.166 -0.349  0.874 -0.244  0.159              
## 
##                Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 Comp.6 Comp.7 Comp.8
## SS loadings     1.000  1.000  1.000  1.000  1.000  1.000  1.000  1.000
## Proportion Var  0.125  0.125  0.125  0.125  0.125  0.125  0.125  0.125
## Cumulative Var  0.125  0.250  0.375  0.500  0.625  0.750  0.875  1.000

pc.fit$loadings[, 1:3]

##          Comp.1      Comp.2      Comp.3
## EEM  0.48657508  0.37973759  0.38732799
## EFA  0.36280439  0.16920548  0.05827588
## GLD  0.07004488  0.80237840 -0.30846954
## IWM  0.37956181 -0.16860821  0.02343653
## IYR  0.52773903 -0.31722773 -0.68555806
## QQQ  0.34334767 -0.15767183  0.39133625
## SPY  0.29275269 -0.04423065  0.07648990
## TLT -0.02332333  0.16576748 -0.34913265

pc factors are in the scores component. Note these scores are based on

centered data

head(pc.fit$scores[, 1:3])

##                 Comp.1      Comp.2      Comp.3
## 2005-01-31 -0.11592678 -0.00180397  0.02761304
## 2005-02-28  0.07721628  0.03373757  0.01355369
## 2005-03-31 -0.09900699 -0.05029173 -0.01598860
## 2005-04-29 -0.03862945 -0.01012625 -0.08036583
## 2005-05-31  0.07848798 -0.07227894  0.02690698
## 2005-06-30  0.04075919  0.02125643 -0.04627556

pc.fit$scores[, 1:3]

##                  Comp.1        Comp.2        Comp.3
## 2005-01-31 -0.115926778 -1.803970e-03  0.0276130403
## 2005-02-28  0.077216277  3.373757e-02  0.0135536899
## 2005-03-31 -0.099006988 -5.029173e-02 -0.0159886020
## 2005-04-29 -0.038629447 -1.012625e-02 -0.0803658262
## 2005-05-31  0.078487979 -7.227894e-02  0.0269069759
## 2005-06-30  0.040759190  2.125643e-02 -0.0462755640
## 2005-07-29  0.130744354 -4.692259e-02  0.0377417973
## 2005-08-31 -0.032161413  2.957216e-02  0.0143985832
## 2005-09-30  0.054630908  7.302381e-02  0.0307266957
## 2005-10-31 -0.099926831 -3.694194e-02 -0.0031191668
## 2005-11-30  0.106634513  1.906462e-02  0.0005567359
## 2005-12-30  0.025588984  6.432182e-02 -0.0029340911
## 2006-01-31  0.173908214  7.810152e-02  0.0026577373
## 2006-02-28 -0.031880638 -4.428796e-02 -0.0347360605
## 2006-03-31  0.074279260 -1.187245e-02 -0.0110435753
## 2006-04-28  0.030659107  1.160364e-01  0.0242504625
## 2006-05-31 -0.156102930 -4.525537e-02 -0.0489049463
## 2006-06-30  0.007474620 -6.771964e-02 -0.0194342250
## 2006-07-31 -0.003475268  2.061039e-02 -0.0488799177
## 2006-08-31  0.050690256 -3.703506e-02  0.0028598543
## 2006-09-29  0.017335602 -7.159827e-02  0.0091337305
## 2006-10-31  0.116232620 -1.277877e-02  0.0015592656
## 2006-11-30  0.081271946  4.362696e-02 -0.0194962294
## 2006-12-29  0.012710592 -4.112170e-03  0.0448709214
## 2007-01-31  0.062216976 -3.414772e-02 -0.0585432072
## 2007-02-28 -0.062525509  1.113954e-02 -0.0149402114
## 2007-03-30  0.017221000  6.589062e-05  0.0532666301
## 2007-04-30  0.058347315  5.665411e-03  0.0317727460
## 2007-05-31  0.055843937 -3.184433e-02  0.0521706447
## 2007-06-29 -0.052900148  7.773456e-03  0.0847606117
## 2007-07-31 -0.102482140  4.712041e-02  0.0411496932
## 2007-08-31  0.037922666 -2.889614e-02 -0.0284697081
## 2007-09-28  0.126780220  9.298895e-02  0.0114549867
## 2007-10-31  0.106134228  7.377084e-02  0.0457801770
## 2007-11-30 -0.176069931 -5.021067e-03 -0.0127562571
## 2007-12-31 -0.060153893  4.138237e-02  0.0091439672
## 2008-01-31 -0.161993821  5.703641e-02 -0.1322579819
## 2008-02-29 -0.062114897  5.569376e-02  0.0008366400
## 2008-03-31 -0.011021029 -9.211787e-02 -0.0263596433
## 2008-04-30  0.136700007 -5.275257e-02  0.0572678542
## 2008-05-30  0.052987460 -2.171847e-02  0.0403991768
## 2008-06-30 -0.235908478  4.040054e-02 -0.0297495070
## 2008-07-31 -0.027668398 -7.172168e-02 -0.0306941082
## 2008-08-29 -0.035086995 -1.343113e-01 -0.0115233632
## 2008-09-30 -0.241026216 -1.280550e-02 -0.1428753345
## 2008-10-31 -0.571652965 -1.169644e-01  0.0827131326
## 2008-11-28 -0.298290232  1.681002e-01 -0.0345237555
## 2008-12-31  0.175095718  6.277976e-02 -0.1131256815
## 2009-01-30 -0.254624489  1.959033e-02  0.0765815849
## 2009-02-27 -0.280690726  4.532032e-02  0.0755955399
## 2009-03-31  0.203339655  1.905427e-03  0.0891401169
## 2009-04-30  0.390948181 -1.229537e-01 -0.0381324918
## 2009-05-29  0.172031062  1.198706e-01  0.0540578520
## 2009-06-30 -0.030613402 -6.971424e-02  0.0339681901
## 2009-07-31  0.218566419 -5.134626e-03  0.0085598584
## 2009-08-31  0.091637114 -6.236482e-02 -0.0905536816
## 2009-09-30  0.135477833  3.848641e-02  0.0005284136
## 2009-10-30 -0.104113527  2.218388e-02  0.0030103216
## 2009-11-30  0.135695463  8.223357e-02 -0.0281658109
## 2009-12-31  0.090477412 -1.173662e-01  0.0348613204

time series plot of principal component factors

library(PerformanceAnalytics)

chart.TimeSeries(pc.fit$scores[, 1, drop=FALSE], colorset=“blue”)

compare with direct eigen-value analysis

notice the sign change on the first set of loadings

eigen.fit = eigen(var(X_i))
names(eigen.fit)

## [1] "values"  "vectors"

names(eigen.fit$values) = rownames(eigen.fit$vectors) = colnames(X_i)
cbind(pc.fit$loadings[,1:3], eigen.fit$vectors[, 1:3])

##          Comp.1      Comp.2      Comp.3                                    
## EEM  0.48657508  0.37973759  0.38732799 -0.48657508 -0.37973759  0.38732799
## EFA  0.36280439  0.16920548  0.05827588 -0.36280439 -0.16920548  0.05827588
## GLD  0.07004488  0.80237840 -0.30846954 -0.07004488 -0.80237840 -0.30846954
## IWM  0.37956181 -0.16860821  0.02343653 -0.37956181  0.16860821  0.02343653
## IYR  0.52773903 -0.31722773 -0.68555806 -0.52773903  0.31722773 -0.68555806
## QQQ  0.34334767 -0.15767183  0.39133625 -0.34334767  0.15767183  0.39133625
## SPY  0.29275269 -0.04423065  0.07648990 -0.29275269  0.04423065  0.07648990
## TLT -0.02332333  0.16576748 -0.34913265  0.02332333 -0.16576748 -0.34913265

compute uncentered pc factors from eigenvectors and return data

pc.factors.uc = X_i %*% eigen.fit$vectors
colnames(pc.factors.uc) = paste(colnames(pc.fit$scores),".uc",sep="")

compare centered and uncentered scores. Note sign change on first factor

We can treat centered scores as unobservable factor values (F)

cbind(pc.fit$scores[,1,drop=F], -pc.factors.uc[, 1, drop=F])

##                  Comp.1    Comp.1.uc
## 2005-01-31 -0.115926778 -0.101476096
## 2005-02-28  0.077216277  0.091666959
## 2005-03-31 -0.099006988 -0.084556306
## 2005-04-29 -0.038629447 -0.024178766
## 2005-05-31  0.078487979  0.092938661
## 2005-06-30  0.040759190  0.055209871
## 2005-07-29  0.130744354  0.145195036
## 2005-08-31 -0.032161413 -0.017710731
## 2005-09-30  0.054630908  0.069081590
## 2005-10-31 -0.099926831 -0.085476150
## 2005-11-30  0.106634513  0.121085195
## 2005-12-30  0.025588984  0.040039666
## 2006-01-31  0.173908214  0.188358896
## 2006-02-28 -0.031880638 -0.017429956
## 2006-03-31  0.074279260  0.088729942
## 2006-04-28  0.030659107  0.045109789
## 2006-05-31 -0.156102930 -0.141652248
## 2006-06-30  0.007474620  0.021925302
## 2006-07-31 -0.003475268  0.010975413
## 2006-08-31  0.050690256  0.065140937
## 2006-09-29  0.017335602  0.031786283
## 2006-10-31  0.116232620  0.130683301
## 2006-11-30  0.081271946  0.095722628
## 2006-12-29  0.012710592  0.027161274
## 2007-01-31  0.062216976  0.076667658
## 2007-02-28 -0.062525509 -0.048074828
## 2007-03-30  0.017221000  0.031671682
## 2007-04-30  0.058347315  0.072797997
## 2007-05-31  0.055843937  0.070294619
## 2007-06-29 -0.052900148 -0.038449466
## 2007-07-31 -0.102482140 -0.088031459
## 2007-08-31  0.037922666  0.052373348
## 2007-09-28  0.126780220  0.141230902
## 2007-10-31  0.106134228  0.120584909
## 2007-11-30 -0.176069931 -0.161619249
## 2007-12-31 -0.060153893 -0.045703211
## 2008-01-31 -0.161993821 -0.147543140
## 2008-02-29 -0.062114897 -0.047664216
## 2008-03-31 -0.011021029  0.003429652
## 2008-04-30  0.136700007  0.151150688
## 2008-05-30  0.052987460  0.067438141
## 2008-06-30 -0.235908478 -0.221457796
## 2008-07-31 -0.027668398 -0.013217716
## 2008-08-29 -0.035086995 -0.020636313
## 2008-09-30 -0.241026216 -0.226575534
## 2008-10-31 -0.571652965 -0.557202284
## 2008-11-28 -0.298290232 -0.283839551
## 2008-12-31  0.175095718  0.189546400
## 2009-01-30 -0.254624489 -0.240173808
## 2009-02-27 -0.280690726 -0.266240044
## 2009-03-31  0.203339655  0.217790336
## 2009-04-30  0.390948181  0.405398863
## 2009-05-29  0.172031062  0.186481744
## 2009-06-30 -0.030613402 -0.016162720
## 2009-07-31  0.218566419  0.233017101
## 2009-08-31  0.091637114  0.106087795
## 2009-09-30  0.135477833  0.149928515
## 2009-10-30 -0.104113527 -0.089662845
## 2009-11-30  0.135695463  0.150146145
## 2009-12-31  0.090477412  0.104928094

use first 3 eigen-vectors to compue three factor (with normalization to have pos correlation with market)

note: cannot treat pc as a portfolio b/c weights do not sum to unity

p3 = pc.fit$loadings[, 1:3]
p3 # refers to B 

##          Comp.1      Comp.2      Comp.3
## EEM  0.48657508  0.37973759  0.38732799
## EFA  0.36280439  0.16920548  0.05827588
## GLD  0.07004488  0.80237840 -0.30846954
## IWM  0.37956181 -0.16860821  0.02343653
## IYR  0.52773903 -0.31722773 -0.68555806
## QQQ  0.34334767 -0.15767183  0.39133625
## SPY  0.29275269 -0.04423065  0.07648990
## TLT -0.02332333  0.16576748 -0.34913265

colSums(p3)

##     Comp.1     Comp.2     Comp.3 
##  2.4395022  0.8293505 -0.4062937

create factor mimicking portfolio by normalizing weights to unity

p3 = p3/colSums(p3)
p3

##          Comp.1      Comp.2      Comp.3
## EEM  0.19945671 -0.93463815  0.46702569
## EFA  0.43745604  0.06936066 -0.14343289
## GLD -0.17239963  0.96747802 -0.12644774
## IWM  0.15558986  0.41499097  0.02825889
## IYR  0.63632808 -0.13003790  1.68734604
## QQQ -0.84507260 -0.19011482  0.16041644
## SPY  0.12000509  0.10886375  0.09222867
## TLT -0.02812241  0.06795135  0.85931101

barplot(p3[,1], horiz=F, main="Factor mimicking weights", col="blue", cex.names = 0.75, las=2)

# create first 3 factors

f3 = X_i %*% p3
head(f3)

##           Comp.1        Comp.2      Comp.3
## [1,] -0.01406435 -0.0250533945 -0.12166888
## [2,]  0.06129456 -0.0531836619  0.08113128
## [3,] -0.03232007  0.0488908107 -0.08316243
## [4,]  0.04869293  0.0005761254  0.11273481
## [5,] -0.02872207 -0.0573322223  0.13015343
## [6,]  0.06935405  0.0245113925  0.10136302

head(pc.fit$scores[, 1:3])

##                 Comp.1      Comp.2      Comp.3
## 2005-01-31 -0.11592678 -0.00180397  0.02761304
## 2005-02-28  0.07721628  0.03373757  0.01355369
## 2005-03-31 -0.09900699 -0.05029173 -0.01598860
## 2005-04-29 -0.03862945 -0.01012625 -0.08036583
## 2005-05-31  0.07848798 -0.07227894  0.02690698
## 2005-06-30  0.04075919  0.02125643 -0.04627556

chart.TimeSeries(f1, main=“First principal component factor”, colorset=“blue”)

estimate factor betas by multivariate regression

n.obs <- dim(X_i)[1]
X.mat = cbind(rep(1, n.obs), f3)
colnames(X.mat) = c("intercept", "Factor 1", "Factor 2", "Factor 3")
XX.mat = crossprod(X.mat)

multivariate least squares

G.hat = solve(XX.mat)%*%crossprod(X.mat, X_i)
t(G.hat)

##         intercept    Factor 1   Factor 2  Factor 3
## EEM  0.0127105872  0.01972228 -0.4337041 0.2289062
## EFA  0.0029577447  0.28410518 -0.2089008 0.1224798
## GLD  0.0122376289 -0.03472461  0.6475807 0.1867599
## IWM -0.0015250921 -0.15802595 -0.1963876 0.3051863
## IYR -0.0029152091  0.26005172  0.0530314 0.3959079
## QQQ -0.0006624027 -0.86343052 -0.3740437 0.4582641
## SPY -0.0012247129 -0.11013401 -0.1805008 0.2181809
## TLT  0.0014159780 -0.30084249  0.2876610 0.1908325

can also use solve(qr(X.mat), returns.mat)

beta.hat = G.hat[2:4,]
beta.hat

##                  EEM        EFA         GLD        IWM       IYR        QQQ
## Factor 1  0.01972228  0.2841052 -0.03472461 -0.1580259 0.2600517 -0.8634305
## Factor 2 -0.43370406 -0.2089008  0.64758073 -0.1963876 0.0530314 -0.3740437
## Factor 3  0.22890623  0.1224798  0.18675995  0.3051863 0.3959079  0.4582641
##                 SPY        TLT
## Factor 1 -0.1101340 -0.3008425
## Factor 2 -0.1805008  0.2876610
## Factor 3  0.2181809  0.1908325

B

##              [,1]         [,2]         [,3]
## [1,] -0.073668198 -0.023939149  0.019315208
## [2,] -0.054929130 -0.010666933  0.002906092
## [3,] -0.010604901 -0.050582972 -0.015382708
## [4,] -0.057466229  0.010629280  0.001168729
## [5,] -0.079900482  0.019998447 -0.034187296
## [6,] -0.051983353  0.009939836  0.019515092
## [7,] -0.044323197  0.002788358  0.003814386
## [8,]  0.003531188 -0.010450196 -0.017410489

E.hat = X_i - X.mat%*%G.hat
diagD.hat = diag(crossprod(E.hat)/(n.obs-4))

compute covariance/correlation matrices with three pc factor

cov.pc3 = t(beta.hat)%*%var(f3)%*%(beta.hat) + diag(diagD.hat)
cov.pc3

##               EEM           EFA           GLD           IWM          IYR
## EEM  6.698582e-03  3.216398e-03 -0.0004749265  0.0035255937 0.0051848568
## EFA  3.216398e-03  3.519650e-03 -0.0000635965  0.0027188164 0.0042878346
## GLD -4.749265e-04 -6.359650e-05  0.0032793133 -0.0000582504 0.0007233282
## IWM  3.525594e-03  2.718816e-03 -0.0000582504  0.0037046740 0.0046180322
## IYR  5.184857e-03  4.287835e-03  0.0007233282  0.0046180322 0.0080688402
## QQQ  3.219055e-03  2.214536e-03 -0.0005698121  0.0027332232 0.0035537167
## SPY  2.680988e-03  2.053999e-03 -0.0001110532  0.0022941608 0.0034465847
## TLT -9.311711e-05  1.835108e-07  0.0005794784  0.0001048511 0.0003984514
##               QQQ           SPY           TLT
## EEM  0.0032190554  2.680988e-03 -9.311711e-05
## EFA  0.0022145358  2.053999e-03  1.835108e-07
## GLD -0.0005698121 -1.110532e-04  5.794784e-04
## IWM  0.0027332232  2.294161e-03  1.048511e-04
## IYR  0.0035537167  3.446585e-03  3.984514e-04
## QQQ  0.0035742853  2.083657e-03  2.570270e-05
## SPY  0.0020836568  2.165483e-03  4.881448e-05
## TLT  0.0000257027  4.881448e-05  1.701828e-03

Sigma_PCA3

##               [,1]         [,2]          [,3]          [,4]         [,5]
## [1,]  0.0065734326  0.004358019  1.695037e-03  4.001552e-03 0.0047470440
## [2,]  0.0043580191  0.003471151  1.077380e-03  3.046585e-03 0.0040761904
## [3,]  0.0016950370  0.001077380  3.181561e-03  5.378487e-05 0.0003616490
## [4,]  0.0040015519  0.003046585  5.378487e-05  3.670925e-03 0.0047641928
## [5,]  0.0047470440  0.004076190  3.616490e-04  4.764193e-03 0.0080502419
## [6,]  0.0039685068  0.002806085 -2.517031e-04  3.115748e-03 0.0036851080
## [7,]  0.0032721348  0.002415976  2.703241e-04  2.581183e-03 0.0034668041
## [8,] -0.0003462547 -0.000133090  7.589745e-04 -3.343502e-04 0.0001040862
##               [,6]          [,7]          [,8]
## [1,]  0.0039685068  0.0032721348 -0.0003462547
## [2,]  0.0028060854  0.0024159764 -0.0001330900
## [3,] -0.0002517031  0.0002703241  0.0007589745
## [4,]  0.0031157484  0.0025811832 -0.0003343502
## [5,]  0.0036851080  0.0034668041  0.0001040862
## [6,]  0.0035480551  0.0024062223 -0.0006272035
## [7,]  0.0024062223  0.0021435496 -0.0002520627
## [8,] -0.0006272035 -0.0002520627  0.0016311194

diag(cov.pc3)

##         EEM         EFA         GLD         IWM         IYR         QQQ 
## 0.006698582 0.003519650 0.003279313 0.003704674 0.008068840 0.003574285 
##         SPY         TLT 
## 0.002165483 0.001701828

error difference between pca and empirical covariance matrix

norm(cov.pc3 - cov(X_i), "F")

## [1] 0.00436158

norm(Sigma_PCA3 - cov(X_i), "F")

## [1] 0.001016899

#========================================================== # Plot perfromance

plotbt(models, plotX = T, log = 'y', LeftMargin = 3)            
mtext('Cumulative Performance', side = 2, line = 1)

Plot Strategy Statistics Side by Side

layout(1:1)
plotbt.strategy.sidebyside(models)

Plot transition maps

layout(1:len(models))
for(m in names(models)) {
  plotbt.transition.map(models[[m]]$weight, name=m)
  legend('topright', legend = m, bty = 'n')
}

#