June 9 backtesting of CAPM, FF3F, PCA

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  8.076297  8.132662  8.076297  8.132662      93600     8.132662
## 2003-04-15  8.182586  8.253445  8.182586  8.229289     421200     8.229289
## 2003-04-16  8.317863  8.358124  8.317863  8.324305       9000     8.324305
## 2003-04-17  8.370201  8.386305  8.355707  8.383890      17100     8.383890
## 2003-04-21  8.393556  8.394361  8.374231  8.380672      72900     8.380672
## 2003-04-22  8.379865  8.408853  8.354099  8.408853      19800     8.408853
## 2003-04-23  8.414490  8.448309  8.386307  8.448309      31500     8.448309
## 2003-04-24  8.382282  8.382282  8.261499  8.281630      90000     8.281630
## 2003-04-25  8.165679  8.165679  8.132665  8.144743     102600     8.144743
## 2003-04-28  8.165680  8.279215  8.164875  8.279215      91800     8.279215
## 2003-04-29  8.407242  8.519167  8.407242  8.515141      76500     8.515141
## 2003-04-30  8.495014  8.502261  8.469247  8.490988     228600     8.490988
## 2003-05-01  8.466830  8.500649  8.454752  8.457973     234900     8.457973
## 2003-05-02  8.485349  8.587611  8.485349  8.587611      67500     8.587611
## 2003-05-05  8.619819  8.681821  8.619819  8.680211      47700     8.680211
## 2003-05-06  8.680209  8.734963  8.672157  8.724496     109800     8.724496
## 2003-05-07  8.688262  8.710003  8.681016  8.708393     313200     8.708393
## 2003-05-08  8.656051  8.660883  8.623843  8.631895     417600     8.631895
## 2003-05-09  8.643975  8.739796  8.643975  8.733354      63000     8.733354
## 2003-05-12  8.772808  8.854940  8.768782  8.854940     752400     8.854940
## 2003-05-13  8.823539  8.823539  8.780863  8.805019     276300     8.805019
## 2003-05-14  8.805018  8.805018  8.743822  8.760731     206100     8.760731
## 2003-05-15  8.778445  8.778445  8.756704  8.778445     337500     8.778445
## 2003-05-16  8.800993  8.817098  8.760733  8.784889     256500     8.784889
## 2003-05-19  8.728525  8.728525  8.543326  8.575534     128700     8.575534
## 2003-05-20  8.595662  8.628676  8.571506  8.618208      53100     8.618208
## 2003-05-21  8.602909  8.627871  8.557817  8.625455      45900     8.625455
## 2003-05-22  8.627870  8.703560  8.627870  8.703560      84600     8.703560
## 2003-05-23  8.764759  8.813878  8.764759  8.792942      74700     8.792942
## 2003-05-27  8.813876  9.113417  8.813876  9.107780     864000     9.107780
## 2003-05-28  9.107783  9.160122  9.107783  9.147238     396000     9.147238
## 2003-05-29  9.139183  9.177834  9.123079  9.159314     306900     9.159314
## 2003-05-30  9.179443  9.265601  9.160923  9.265601     368100     9.265601
## 2003-06-02  9.292173  9.437112  9.292173  9.332434     587700     9.332434
## 2003-06-03  9.340486  9.340486  9.185079  9.261575     244800     9.261575
## 2003-06-04  9.259964  9.381552  9.259964  9.380746     241200     9.380746
## 2003-06-05  9.414567  9.414567  9.329214  9.390411     509400     9.390411
## 2003-06-06  9.441137  9.573997  9.440332  9.478177     608400     9.478177
## 2003-06-09  9.490256  9.490256  9.367058  9.396851     208800     9.396851
## 2003-06-10  9.400075  9.493480  9.400075  9.493480     233100     9.493480
## 2003-06-11  9.489450  9.508775  9.421007  9.501528     294300     9.501528
## 2003-06-12  9.517634  9.573194  9.510387  9.573194     402300     9.573194
## 2003-06-13  9.550648  9.578025  9.543401  9.569973     694800     9.569973
## 2003-06-16  9.598156  9.673846  9.586078  9.673041     163800     9.673041
## 2003-06-17  9.772082  9.879981  9.772082  9.871929     352800     9.871929
## 2003-06-18  9.845354  9.891251  9.813950  9.835691     171900     9.835691
## 2003-06-19  9.916212  9.932317  9.823613  9.835691     225900     9.835691
## 2003-06-20  9.863874  9.879978  9.807508  9.835691     300600     9.835691
## 2003-06-23  9.803484  9.803484  9.591713  9.594128     332100     9.594128
## 2003-06-24  9.553869  9.553869  9.469322  9.523271     188100     9.523271
## 2003-06-25  9.547425  9.660961  9.547425  9.602180    1045800     9.602180
## 2003-06-26  9.648078  9.710885  9.631168  9.706053     210600     9.706053
## 2003-06-27  9.718939  9.722966  9.636808  9.660964     373500     9.660964
## 2003-06-30  9.688340  9.688340  9.638417  9.654521     279900     9.654521
## 2003-07-01  9.690755  9.767251  9.662573  9.759199     679500     9.759199
## 2003-07-02  9.867900  9.995929  9.867900  9.988682    1129500     9.988682
## 2003-07-03 10.016864 10.021696  9.996733 10.016864     110700    10.016864
## 2003-07-07 10.121546 10.264874 10.121546 10.264874     569700    10.264874
## 2003-07-08 10.284197 10.312379 10.246352 10.293859     347400    10.293859
## 2003-07-09 10.286612 10.286612 10.226221 10.269703     472500    10.269703
## 2003-07-10 10.213339 10.213339 10.057128 10.089336    1603800    10.089336
## 2003-07-11 10.089335 10.173883 10.089335 10.173883     212400    10.173883
## 2003-07-14 10.286610 10.395314 10.286610 10.352638     683100    10.352638
## 2003-07-15 10.403369 10.403369 10.222196 10.222196    2222100    10.222196
## 2003-07-16 10.202066 10.258432 10.172274 10.230249     828000    10.230249
## 2003-07-17 10.165830 10.165830  9.962916  9.962916     367200     9.962916
## 2003-07-18  9.980630 10.095776  9.980630 10.095776     205200    10.095776
## 2003-07-21 10.056323 10.056323  9.949229  9.962113    2148300     9.962113
## 2003-07-22  9.987880 10.094169  9.976607 10.081285    1022400    10.081285
## 2003-07-23 10.049073 10.049073  9.957278 10.016864     904500    10.016864
## 2003-07-24 10.085310 10.152947 10.065179 10.065179     749700    10.065179
## 2003-07-25 10.139259 10.230249 10.125571 10.230249     212400    10.230249
## 2003-07-28 10.290639 10.318822 10.258431 10.286613    1040400    10.286613
## 2003-07-29 10.302718 10.307549 10.218171 10.228638     805500    10.228638
## 2003-07-30 10.204480 10.206091 10.133621 10.153752      56700    10.153752
## 2003-07-31 10.169856 10.233468 10.169856 10.202065     339300    10.202065
## 2003-08-01 10.222196 10.242325 10.210922 10.224611     441000    10.224611
## 2003-08-04 10.238301 10.243937 10.145701 10.179520     394200    10.179520
## 2003-08-05 10.179521 10.179521 10.070012 10.070012     290700    10.070012
## 2003-08-06 10.067595 10.078869  9.999153 10.024919     371700    10.024919
## 2003-08-07 10.097388 10.128792 10.073232 10.098193     288900    10.098193
## 2003-08-08 10.181935 10.185962 10.140869 10.165831     153000    10.165831
## 2003-08-11 10.226221 10.246352 10.185961 10.210117     665100    10.210117
## 2003-08-12 10.228636 10.259235 10.214142 10.250377     727200    10.250377
## 2003-08-13 10.376796 10.427525 10.329289 10.395316     721800    10.395316
## 2003-08-14 10.401758 10.539450 10.401758 10.532203     404100    10.532203
## 2003-08-15 10.427525 10.427525 10.427525 10.427525      48600    10.427525
## 2003-08-18 10.524151 10.651375 10.513684 10.649765    1189800    10.649765
## 2003-08-19 10.709351 10.709351 10.636882 10.702104     453600    10.702104
## 2003-08-20 10.677141 10.703713 10.638491 10.703713    1125000    10.703713
## 2003-08-21 10.790679 10.904214 10.777795 10.900188    1083600    10.900188
## 2003-08-22 11.031437 11.031437 10.922733 10.955747    1008000    10.955747
## 2003-08-25 10.940449 10.940449 10.859122 10.870395     391500    10.870395
## 2003-08-26 10.826108 10.826108 10.673118 10.737535    1186200    10.737535
## 2003-08-27 10.754442 10.862341 10.715792 10.862341     632700    10.862341
## 2003-08-28 10.900187 10.938032 10.835770 10.938032     441900    10.938032
## 2003-08-29 11.007282 11.039490 11.007282 11.016944     417600    11.016944
## 2003-09-02 11.111957 11.182011 11.095853 11.180401    1471500    11.180401
## 2003-09-03 11.333389 11.333389 11.260920 11.268972     887400    11.268972
## 2003-09-04 11.277830 11.325338 11.265752 11.309234     458100    11.309234
## 2003-09-05 11.329366 11.329366 11.277027 11.298768     532800    11.298768
## 2003-09-08 11.410695 11.526646 11.410695 11.512957     659700    11.512957
## 2003-09-09 11.537114 11.537114 11.295550 11.313264     387900    11.313264
## 2003-09-10 11.295547 11.295547 11.066866 11.124841     569700    11.124841
## 2003-09-11 11.128869 11.222274 11.111959 11.111959    1097100    11.111959
## 2003-09-12 11.148191 11.190867 11.071696 11.190867     948600    11.190867
## 2003-09-15 11.206974 11.206974 10.991177 11.025801     809100    11.025801
## 2003-09-16 11.136115 11.252871 11.111153 11.252871    1987200    11.252871
## 2003-09-17 11.272199 11.282667 11.197314 11.204561     982800    11.204561
## 2003-09-18 11.231935 11.353523 11.192479 11.333392     762300    11.333392
## 2003-09-19 11.349496 11.349496 11.256091 11.281053     466200    11.281053
## 2003-09-22 11.230324 11.230324 11.048346 11.096658    4203900    11.096658
## 2003-09-23 11.108736 11.132087 11.094242 11.124035     453600    11.124035
## 2003-09-24 11.266558 11.288298 11.136113 11.144165     789300    11.144165
## 2003-09-25 11.144167 11.144167 10.979098 10.979098     530100    10.979098
## 2003-09-26 10.979099 10.979099 10.902603 10.902603    2994300    10.902603
## 2003-09-29 10.920316 10.989564 10.910654 10.979902    1071000    10.979902
## 2003-09-30 11.048345 11.048345 10.910653 10.945277    2218500    10.945277
## 2003-10-01 11.096657 11.235959 11.088605 11.232738    1123200    11.232738
## 2003-10-02 11.338224 11.413914 11.313262 11.393783    1017900    11.393783
## 2003-10-03 11.554827 11.557244 11.487190 11.506515    2016900    11.506515
## 2003-10-06 11.564487 11.575759 11.516979 11.550798     356400    11.550798
## 2003-10-07 11.587033 11.587033 11.514564 11.538720     529200    11.538720
## 2003-10-08 11.640178 11.647425 11.610385 11.624879     351000    11.624879
## 2003-10-09 11.810882 11.876910 11.796390 11.820545     987300    11.820545
## 2003-10-10 11.883353 11.968706 11.883353 11.965484    1278000    11.965484
## 2003-10-13 12.037955 12.157932 12.037955 12.146658    1638000    12.146658
## 2003-10-14 12.112033 12.112033 11.909119 11.914756    1341000    11.914756
## 2003-10-15 12.058084 12.102371 12.029901 12.058888    2833200    12.058888
## 2003-10-16 12.058890 12.086268 12.037955 12.055669     284400    12.055669
## 2003-10-17 12.060502 12.060502 11.957435 11.982397     273600    11.982397
## 2003-10-20 12.071774 12.085462 12.033929 12.049228     448200    12.049228
## 2003-10-21 12.077410 12.109618 12.062111 12.109618     977400    12.109618
## 2003-10-22 12.086266 12.086266 11.882547 11.931664    1390500    11.931664
## 2003-10-23 11.756129 11.756129 11.677219 11.756129     849600    11.756129
## 2003-10-24 11.675609 11.694129 11.636154 11.694129    1303200    11.694129
## 2003-10-27 11.772234 11.836650 11.772234 11.828599    1175400    11.828599
## 2003-10-28 11.981589 12.004941 11.949381 11.990446     625500    11.990446
## 2003-10-29 12.029904 12.094321 12.005748 12.090294     775800    12.090294
## 2003-10-30 12.144241 12.154710 12.046006 12.046810     603900    12.046810
## 2003-10-31 12.056474 12.063720 11.934886 11.950185     305100    11.950185
## 2003-11-03 12.158738 12.239258 12.142633 12.235232    1420200    12.235232
## 2003-11-04 12.317366 12.319781 12.250532 12.269052     923400    12.269052
## 2003-11-05 12.298036 12.317363 12.244087 12.285154    1408500    12.285154
## 2003-11-06 12.235230 12.235230 12.135384 12.197386     745200    12.197386
## 2003-11-07 12.208660 12.254557 12.194972 12.210270     659700    12.210270
## 2003-11-10 12.183696 12.183696 12.033927 12.041979     644400    12.041979
## 2003-11-11 11.953407 11.953407 11.844703 11.887380     731700    11.887380
## 2003-11-12 11.963874 12.113644 11.946966 12.099152     657900    12.099152
## 2003-11-13 12.185308 12.193361 12.088682 12.192555     972900    12.192555
## 2003-11-14 12.165178 12.205438 12.088681 12.130554     451800    12.130554
## 2003-11-17 12.037954 12.037954 11.822158 11.893821    1896300    11.893821
## 2003-11-18 11.969510 12.001719 11.917172 11.917172    1236600    11.917172
## 2003-11-19 11.876910 11.876910 11.801220 11.839870    1089900    11.839870
## 2003-11-20 11.736000 11.752104 11.675609 11.686882     505800    11.686882
## 2003-11-21 11.727141 11.788337 11.727141 11.788337     363600    11.788337
## 2003-11-24 11.788336 11.921197 11.768207 11.916365    1182600    11.916365
## 2003-11-25 11.952603 11.989642 11.917174 11.957434    2041200    11.957434
## 2003-11-26 12.062911 12.066938 12.001715 12.066938    1207800    12.066938
## 2003-11-28 12.077410 12.209465 12.062110 12.174840     619200    12.174840
## 2003-12-01 12.351986 12.523498 12.351986 12.523498    1340100    12.523498
## 2003-12-02 12.523499 12.523499 12.452640 12.467940    2511900    12.467940
## 2003-12-03 12.530744 12.541211 12.424455 12.424455     824400    12.424455
## 2003-12-04 12.424454 12.424454 12.299645 12.339102     709200    12.339102
## 2003-12-05 12.322192 12.349570 12.253751 12.315751    1263600    12.315751
## 2003-12-08 12.299649 12.351987 12.292402 12.339911     753300    12.339911
## 2003-12-09 12.408355 12.428485 12.288378 12.288378    1598400    12.288378
## 2003-12-10 12.351988 12.360041 12.215103 12.239259     561600    12.239259
## 2003-12-11 12.347960 12.469548 12.335883 12.462301     819000    12.462301
## 2003-12-12 12.519474 12.521084 12.481628 12.519474    1101600    12.519474
## 2003-12-15 12.624151 12.643477 12.496927 12.529136    1232100    12.529136
## 2003-12-16 12.541210 12.541210 12.418013 12.476794     669600    12.476794
## 2003-12-17 12.397079 12.397079 12.302063 12.331856    1114200    12.331856
## 2003-12-18 12.382589 12.530749 12.382589 12.530749     657900    12.530749
## 2003-12-19 12.500949 12.578250 12.500949 12.561339     559800    12.561339
## 2003-12-22 12.609306 12.738715 12.580997 12.738715    1562400    12.738715
## 2003-12-23 12.738714 12.773492 12.712023 12.773492    1328400    12.773492
## 2003-12-24 12.813123 12.835769 12.787242 12.814741     279000    12.814741
## 2003-12-26 12.860034 12.860034 12.836577 12.847093     216900    12.847093
## 2003-12-29 12.940915 13.041207 12.924739 13.041207    1450800    13.041207
## 2003-12-30 13.118047 13.171428 13.099445 13.103488    1374300    13.103488
## 2003-12-31 13.177227 13.282452 13.177227 13.268690     979200    13.268690
## 2004-01-02 13.363386 13.629682 13.363386 13.564121    1845000    13.564121
## 2004-01-05 13.938070 14.040056 13.840941 14.040056    2981700    14.040056
## 2004-01-06 14.040060 14.040060 13.861181 13.881415    3776400    13.881415
## 2004-01-07 13.800476 13.913793 13.800476 13.913793    1075500    13.913793
## 2004-01-08 13.946971 13.994726 13.847413 13.966397    1148400    13.966397
## 2004-01-09 13.977732 14.053007 13.934023 13.941308    1143900    13.941308
## 2004-01-12 13.974495 13.990685 13.875747 13.929169    1753200    13.929169
## 2004-01-13 13.958309 13.970450 13.804521 13.849847    1361700    13.849847
## 2004-01-14 13.801282 13.894364 13.796425 13.871699    1150200    13.871699
## 2004-01-15 13.816662 13.817471 13.569790 13.588408    1397700    13.588408
## 2004-01-16 13.577886 13.649115 13.557650 13.646686    1698300    13.646686
## 2004-01-20 13.921881 14.055433 13.895170 14.043294    1243800    14.043294
## 2004-01-21 14.040865 14.112093 13.962353 14.061909    1260000    14.061909
## 2004-01-22 14.014966 14.062720 13.912170 14.026297    1600200    14.026297
## 2004-01-23 14.044102 14.051387 13.970446 14.002821     811800    14.002821
## 2004-01-26 14.040866 14.095906 13.980160 14.095906    1946700    14.095906
## 2004-01-27 14.124233 14.167132 14.002820 14.024675    2822400    14.024675
## 2004-01-28 14.099954 14.120997 13.808566 13.826372    2428200    13.826372
## 2004-01-29 13.771336 13.799666 13.380392 13.608644    3085200    13.608644
## 2004-01-30 13.517179 13.592456 13.488850 13.590027    1413900    13.590027
## 2004-02-02 13.607828 13.611066 13.533363 13.593259    1466100    13.593259
## 2004-02-03 13.602163 13.602163 13.496131 13.517175     941400    13.517175
## 2004-02-04 13.444328 13.464562 13.395762 13.395762    1133100    13.395762
## 2004-02-05 13.356106 13.416812 13.335061 13.391720    1764000    13.391720
## 2004-02-06 13.530939 13.732482 13.518798 13.696868    1868400    13.696868
## 2004-02-09 13.840944 13.961547 13.760003 13.894366     882000    13.894366
## 2004-02-10 13.899221 13.912172 13.849847 13.882224     665100    13.882224
## 2004-02-11 13.925119 14.115329 13.884646 14.097522    2990700    14.097522
## 2004-02-12 14.162274 14.162274 14.059478 14.090236    2559600    14.090236
## 2004-02-13 14.249694 14.257788 14.091048 14.099953    1157400    14.099953
## 2004-02-17 14.294213 14.383247 14.231079 14.383247    2004300    14.383247
## 2004-02-18 14.400246 14.400246 14.173611 14.187370     894600    14.187370
## 2004-02-19 14.189799 14.227032 14.063530 14.063530    1216800    14.063530
## 2004-02-20 13.921880 13.938068 13.789136 13.905691    2828700    13.905691
## 2004-02-23 13.986635 14.010107 13.766474 13.784281    1368000    13.784281
## 2004-02-24 13.753526 13.753526 13.679062 13.711437     950400    13.711437
## 2004-02-25 13.758380 13.863603 13.738955 13.861176     752400    13.861176
## 2004-02-26 13.932406 13.932406 13.871698 13.929977    1440000    13.929977
## 2004-02-27 14.089430 14.157421 14.051389 14.127473    2112300    14.127473
## 2004-03-01 14.232698 14.463380 14.223795 14.449620    1488600    14.449620
## 2004-03-02 14.465807 14.465807 14.333063 14.334682    1095300    14.334682
## 2004-03-03 14.244839 14.256172 14.148520 14.245649    2036700    14.245649
## 2004-03-04 14.286114 14.346820 14.269117 14.342773     837900    14.342773
## 2004-03-05 14.342775 14.417241 14.286116 14.395386    1043100    14.395386
## 2004-03-08 14.456093 14.488470 14.257787 14.257787    1356300    14.257787
## 2004-03-09 14.302304 14.302304 14.084573 14.164705    1146600    14.164705
## 2004-03-10 14.180895 14.180895 13.812613 13.840942    3870900    13.840942
## 2004-03-11 13.662873 13.697677 13.541460 13.541460    3832200    13.541460
## 2004-03-12 13.557648 13.687154 13.557648 13.654777    1795500    13.654777
## 2004-03-15 13.549551 13.577881 13.399810 13.399810    2127600    13.399810
## 2004-03-16 13.468613 13.569788 13.460517 13.565742    2355300    13.565742
## 2004-03-17 13.719529 13.774571 13.688772 13.751906    3899700    13.751906
## 2004-03-18 13.790759 13.835277 13.720341 13.832850    1188000    13.832850
## 2004-03-19 13.887078 13.887078 13.650730 13.650730    2424600    13.650730
## 2004-03-22 13.744625 13.744625 13.354487 13.432191    3333600    13.432191
## 2004-03-23 13.516368 13.581122 13.516368 13.567361    1305000    13.567361
## 2004-03-24 13.619977 13.641831 13.561699 13.577887     889200    13.577887
## 2004-03-25 13.612689 13.715485 13.598121 13.710629    1724400    13.710629
## 2004-03-26 13.711434 13.747048 13.683104 13.685533    1903500    13.685533
## 2004-03-29 13.881410 13.897599 13.854699 13.861176    1031400    13.861176
## 2004-03-30 13.959924 14.041675 13.942117 14.031151    2089800    14.031151
## 2004-03-31 14.156614 14.205180 14.125858 14.205180    1773900    14.205180
## 2004-04-01 14.236742 14.329824 14.235123 14.320922    1648800    14.320922
## 2004-04-02 14.484426 14.496567 14.434242 14.464191    4001400    14.464191
## 2004-04-05 14.583982 14.583982 14.537037 14.565365    1177200    14.565365
## 2004-04-06 14.571033 14.650356 14.565367 14.646309     721800    14.646309
## 2004-04-07 14.723203 14.728059 14.528945 14.593697    1936800    14.593697
## 2004-04-08 14.733720 14.739387 14.568602 14.605833     802800    14.605833
## 2004-04-12 14.715106 14.763669 14.685966 14.718343    1048500    14.718343
## 2004-04-13 14.727247 14.727247 14.515990 14.546748    1538100    14.546748
## 2004-04-14 14.438288 14.438288 14.320924 14.332255    2323800    14.332255
## 2004-04-15 14.338731 14.338731 14.125856 14.213272    1017000    14.213272
## 2004-04-16 14.257792 14.342780 14.198705 14.318498    1371600    14.318498
## 2004-04-19 14.316872 14.342773 14.275591 14.342773    1085400    14.342773
## 2004-04-20 14.405915 14.405915 14.172804 14.217320    2962800    14.217320
## 2004-04-21 14.200327 14.200327 14.092675 14.112101    1021500    14.112101
## 2004-04-22 13.986633 14.114520 13.947781 14.108044    3693600    14.108044
## 2004-04-23 14.164709 14.298260 14.164709 14.213272    1196100    14.213272
## 2004-04-26 14.217318 14.217318 14.006871 14.010919    1556100    14.010919
## 2004-04-27 14.079714 14.082951 13.936448 13.936448     837000    13.936448
## 2004-04-28 13.906508 13.906508 13.518799 13.537415    3704400    13.537415
## 2004-04-29 13.355294 13.355294 13.054194 13.091427    5024700    13.091427
## 2004-04-30 12.970825 13.042054 12.795992 12.812989    4438800    12.812989
## 2004-05-03 12.851841 12.942496 12.835654 12.941687    2169900    12.941687
## 2004-05-04 13.212028 13.268686 13.090615 13.195030    1849500    13.195030
## 2004-05-05 13.241167 13.292970 13.163464 13.227408    1089900    13.227408
## 2004-05-06 13.031530 13.046100 12.924688 12.953017    3132000    12.953017
## 2004-05-07 12.796805 12.796805 12.569359 12.661632    5904900    12.661632
## 2004-05-10 12.143604 12.230211 12.040809 12.050521    4054500    12.050521
## 2004-05-11 12.264210 12.424473 12.258544 12.408285    3686400    12.408285
## 2004-05-12 12.434995 12.489226 12.076426 12.412332    7226100    12.412332
## 2004-05-13 12.254492 12.451179 12.238304 12.379951    3628800    12.379951
## 2004-05-14 12.268255 12.289301 11.929922 12.053762    7549200    12.053762
## 2004-05-17 11.574591 11.896738 11.570544 11.571353    4436100    11.571353
## 2004-05-18 11.955014 12.018957 11.805273 11.915352    2379600    11.915352
## 2004-05-19 12.590402 12.592022 12.231024 12.244783    4035600    12.244783
## 2004-05-20 12.272304 12.293350 12.146845 12.169510    3769200    12.169510
## 2004-05-21 12.386427 12.489223 12.369430 12.369430    3830400    12.369430
## 2004-05-24 12.747431 12.747431 12.452804 12.562075    2328300    12.562075
## 2004-05-25 12.544263 12.861554 12.464942 12.838889    3232800    12.838889
## 2004-05-26 12.934403 12.934403 12.765235 12.788708    1452600    12.788708
## 2004-05-27 13.022625 13.045289 12.919020 12.991057    1737000    12.991057
## 2004-05-28 13.128660 13.128660 12.918213 12.962729     847800    12.962729
## 2004-06-01 12.974872 12.974872 12.833225 12.872885    2627100    12.872885
## 2004-06-02 12.857507 12.908499 12.740143 12.872885    2570400    12.872885
## 2004-06-03 12.614682 12.676197 12.575828 12.587161    2385000    12.587161
## 2004-06-04 12.718291 12.824324 12.707769 12.772521    2214900    12.772521
## 2004-06-07 13.023438 13.229839 12.902026 13.213650    2310300    13.213650
## 2004-06-08 13.152943 13.152943 12.950591 13.029913    3527100    13.029913
## 2004-06-09 12.921452 12.921452 12.726383 12.735287    1899000    12.735287
## 2004-06-10 12.716669 12.772517 12.702098 12.749854    1696500    12.749854
## 2004-06-14 12.396141 12.399379 12.258542 12.258542    3090600    12.258542
## 2004-06-15 12.480319 12.586354 12.442277 12.495699    1977300    12.495699
## 2004-06-16 12.502171 12.502171 12.313579 12.328147    2049300    12.328147
## 2004-06-17 12.322487 12.451183 12.303869 12.389668    2328300    12.389668
## 2004-06-18 12.518362 12.518362 12.222119 12.319248    2426400    12.319248
## 2004-06-21 12.536172 12.536172 12.374290 12.375909     876600    12.375909
## 2004-06-22 12.438230 12.540215 12.396141 12.507030     971100    12.507030
## 2004-06-23 12.513505 12.744187 12.456846 12.729617    1182600    12.729617
## 2004-06-24 12.931975 12.932784 12.778995 12.780614    1177200    12.780614
## 2004-06-25 12.904455 12.961114 12.892316 12.910121     845100    12.910121
## 2004-06-28 13.039623 13.039623 12.793562 12.800038    1017900    12.800038
## 2004-06-29 12.788705 12.910116 12.788705 12.897977     727200    12.897977
## 2004-06-30 12.995106 13.144038 12.885027 13.082523    3212100    13.082523
## 2004-07-01 12.991869 13.014534 12.893121 12.919022    2195100    12.919022
## 2004-07-02 12.950590 12.995106 12.911736 12.918213    1892700    12.918213
## 2004-07-06 12.958680 12.962726 12.779800 12.779800    1564200    12.779800
## 2004-07-07 12.804895 13.019389 12.804895 12.946542    1983600    12.946542
## 2004-07-08 12.869649 12.890694 12.761996 12.761996    1692900    12.761996
## 2004-07-09 12.829177 12.928735 12.807324 12.829987    1484100    12.829987
## 2004-07-12 12.795992 12.823511 12.707766 12.796802    1049400    12.796802
## 2004-07-13 12.856697 12.878550 12.779802 12.855078    1014300    12.855078
## 2004-07-14 12.790325 12.848602 12.732047 12.732047    1017900    12.732047
## 2004-07-15 12.669723 12.711004 12.602542 12.665677    3766500    12.665677
## 2004-07-16 12.850220 12.868838 12.788705 12.804894     983700    12.804894
## 2004-07-19 12.817037 12.875314 12.720716 12.785470     995400    12.785470
## 2004-07-20 12.796804 12.839703 12.734479 12.839703    1849500    12.839703
## 2004-07-21 12.949780 12.949780 12.642203 12.691577    1780200    12.691577
## 2004-07-22 12.579069 12.691577 12.529696 12.691577    3069000    12.691577
## 2004-07-23 12.657583 12.657583 12.419615 12.473037    1970100    12.473037
## 2004-07-26 12.454423 12.507035 12.327346 12.357294    1141200    12.357294
## 2004-07-27 12.384001 12.592830 12.384001 12.592830    1133100    12.592830
## 2004-07-28 12.545073 12.590400 12.444705 12.588781    1314000    12.588781
## 2004-07-29 12.572596 12.667298 12.531317 12.667298    2531700    12.667298
## 2004-07-30 12.673770 12.690766 12.588781 12.606588    2052900    12.606588
## 2004-08-02 12.547502 12.566928 12.514316 12.543456    2377800    12.543456
## 2004-08-03 12.543455 12.642203 12.532933 12.558025    2743200    12.558025
## 2004-08-04 12.533744 12.570167 12.448754 12.570167    2527200    12.570167
## 2004-08-05 12.756328 12.764424 12.488414 12.489223    2399400    12.489223
## 2004-08-06 12.528081 12.529699 12.384005 12.398574    1493100    12.398574
## 2004-08-09 12.545882 12.586354 12.502174 12.502174     726300    12.502174
## 2004-08-10 12.493270 12.660008 12.493270 12.643011     963900    12.643011
## 2004-08-11 12.513507 12.535361 12.402618 12.525648    1772100    12.525648
## 2004-08-12 12.505415 12.513508 12.385621 12.385621     736200    12.385621
## 2004-08-13 12.541833 12.544260 12.387235 12.405042    1442700    12.405042
## 2004-08-16 12.412330 12.594447 12.412330 12.574211    1655100    12.574211
## 2004-08-17 12.616301 12.693194 12.585543 12.658390    1665000    12.658390
## 2004-08-18 12.631679 12.808940 12.588781 12.808131    1214100    12.808131
## 2004-08-19 12.946544 12.946544 12.777377 12.821893    1306800    12.821893
## 2004-08-20 12.841314 12.945728 12.821079 12.885832    1683000    12.885832
## 2004-08-23 12.902835 12.992681 12.812990 12.955448    2262600    12.955448
## 2004-08-24 12.922260 12.980538 12.902024 12.918213     881100    12.918213
## 2004-08-25 12.950593 13.076051 12.934404 13.072004    1098900    13.072004
## 2004-08-26 13.120566 13.120566 13.062288 13.089809    1036800    13.089809
## 2004-08-27 13.124612 13.125422 13.061479 13.065526    1988100    13.065526
## 2004-08-30 13.023439 13.023439 12.966779 12.995109     738900    12.995109
## 2004-08-31 13.011296 13.067146 12.955447 13.051768    2889000    13.051768
## 2004-09-01 13.152126 13.159411 13.055806 13.159411    3053700    13.159411
## 2004-09-02 13.209601 13.343155 13.151323 13.322919    2511900    13.322919
## 2004-09-03 13.266261 13.266261 13.144849 13.181273    2269800    13.181273
## 2004-09-07 13.214455 13.310776 13.213647 13.282447    2881800    13.282447
## 2004-09-08 13.173175 13.335058 13.173175 13.274352    1415700    13.274352
## 2004-09-09 13.225787 13.342342 13.225787 13.314823    2348100    13.314823
## 2004-09-10 13.367440 13.489661 13.355297 13.441096     851400    13.441096
## 2004-09-13 13.545503 13.614304 13.537409 13.564121    1343700    13.564121
## 2004-09-14 13.638590 13.638590 13.549555 13.559268    1825200    13.559268
## 2004-09-15 13.579502 13.585977 13.473469 13.499370    1323000    13.499370
## 2004-09-16 13.654780 13.711439 13.618357 13.668539    1190700    13.668539
## 2004-09-17 13.628875 13.832848 13.626448 13.760000    1954800    13.760000
## 2004-09-20 13.781853 13.800471 13.626448 13.773760    1203300    13.773760
## 2004-09-21 13.840940 13.985016 13.832846 13.917834    2047500    13.917834
## 2004-09-22 13.840942 13.854701 13.705770 13.707390    1795500    13.707390
## 2004-09-23 13.630495 13.772142 13.627258 13.768095    1719900    13.768095
## 2004-09-24 13.734909 13.743812 13.678250 13.729242    1989900    13.729242
## 2004-09-27 13.718719 13.718719 13.585976 13.647491    2089800    13.647491
## 2004-09-28 13.676633 13.839324 13.676633 13.816661    1298700    13.816661
## 2004-09-29 13.784282 13.897600 13.761619 13.889507     530100    13.889507
## 2004-09-30 13.905695 13.962355 13.857131 13.962355    1413900    13.962355
## 2004-10-01 14.049770 14.245647 14.027107 14.229459    2111400    14.229459
## 2004-10-04 14.375155 14.501424 14.345207 14.472284    2671200    14.472284
## 2004-10-05 14.331447 14.432625 14.294216 14.365443    2332800    14.365443
## 2004-10-06 14.383251 14.531375 14.356542 14.531375    2286000    14.531375
## 2004-10-07 14.472284 14.474713 14.367060 14.407532    3072600    14.407532
## 2004-10-08 14.391338 14.447995 14.268306 14.302302    1929600    14.302302
## 2004-10-11 14.370297 14.385675 14.326589 14.376772    1278000    14.376772
## 2004-10-12 14.124235 14.154992 14.035199 14.150136    3061800    14.150136
## 2004-10-13 14.133140 14.133140 13.866034 13.958307    4212900    13.958307
## 2004-10-14 13.901647 13.941309 13.747860 13.768095    1920600    13.768095
## 2004-10-15 13.781043 13.998775 13.781043 13.951829     775800    13.951829
## 2004-10-18 14.007680 14.119378 13.986636 14.099953    1413900    14.099953
## 2004-10-19 14.217319 14.280453 14.031964 14.031964    1402200    14.031964
## 2004-10-20 14.009302 14.019824 13.891128 13.943739    3414600    13.943739
## 2004-10-21 14.019014 14.144474 14.002825 14.144474    1761300    14.144474
## 2004-10-22 14.184939 14.184939 14.027105 14.043294    1204200    14.043294
## 2004-10-25 14.002824 14.081338 13.928360 14.081338    3783600    14.081338
## 2004-10-26 14.075673 14.148520 14.050582 14.132332    2438100    14.132332
## 2004-10-27 14.202749 14.407530 14.174419 14.375153    3141000    14.375153
## 2004-10-28 14.306356 14.407533 14.227034 14.303927    3662100    14.303927
## 2004-10-29 14.330637 14.383249 14.299070 14.359775    4755600    14.359775
## 2004-11-01 14.482804 14.492517 14.397006 14.466616    1892700    14.466616
## 2004-11-02 14.528946 14.639026 14.488475 14.499806    1888200    14.499806
## 2004-11-03 14.828426 14.852708 14.695681 14.711061    2423700    14.711061
## 2004-11-04 14.723199 14.987068 14.703773 14.933646    7040700    14.933646
## 2004-11-05 15.014585 15.018632 14.949833 14.990303    5571000    14.990303
## 2004-11-08 14.901272 14.917459 14.813045 14.821140    1092600    14.821140
## 2004-11-09 14.893183 14.921513 14.870520 14.916656    1039500    14.916656
## 2004-11-10 15.014587 15.018634 14.923124 14.933646    1553400    14.933646
## 2004-11-11 14.974117 15.132762 14.953073 15.103624    1473300    15.103624
## 2004-11-12 15.164332 15.376398 15.072868 15.358589    3261600    15.358589
## 2004-11-15 15.435485 15.437104 15.305978 15.373160    2475900    15.373160
## 2004-11-16 15.382874 15.382874 15.184568 15.197519     964800    15.197519
## 2004-11-17 15.500237 15.628123 15.457338 15.540706    4002300    15.540706
## 2004-11-18 15.449244 15.671022 15.449244 15.569037    1527300    15.569037
## 2004-11-19 15.544754 15.548802 15.346450 15.346450    1489500    15.346450
## 2004-11-22 15.341592 15.451672 15.216943 15.406346    2629800    15.406346
## 2004-11-23 15.375584 15.496186 15.370727 15.433052    2463300    15.433052
## 2004-11-24 15.589266 15.615168 15.541511 15.597361    2287800    15.597361
## 2004-11-26 15.682353 15.867708 15.660498 15.856375    1315800    15.856375
## 2004-11-29 15.872564 15.873374 15.759246 15.759246    5048100    15.759246
## 2004-11-30 15.888752 15.888752 15.777863 15.788384    3993300    15.788384
## 2004-12-01 15.880661 15.933274 15.836144 15.908990    6652800    15.908990
## 2004-12-02 16.026352 16.026352 15.872564 15.885515    2802600    15.885515
## 2004-12-03 15.875799 15.961597 15.840185 15.957550    1987200    15.957550
## 2004-12-06 15.945406 15.945406 15.823994 15.934883    1561500    15.934883
## 2004-12-07 15.904938 15.904938 15.630549 15.690445    2119500    15.690445
## 2004-12-08 15.637841 15.637841 15.479197 15.607893    2682000    15.607893
## 2004-12-09 15.338354 15.440341 15.239606 15.353734    3485700    15.353734
## 2004-12-10 15.225036 15.350494 15.157045 15.338353    2543400    15.338353
## 2004-12-13 15.492142 15.571466 15.407154 15.571466    2016000    15.571466
## 2004-12-14 15.619221 15.726873 15.597368 15.714732    2101500    15.714732
## 2004-12-15 15.872569 15.932465 15.832098 15.932465    2272500    15.932465
## 2004-12-16 15.972125 15.972125 15.737395 15.852331    1358100    15.852331
## 2004-12-17 15.881469 15.917084 15.783532 15.815907    2043000    15.815907
## 2004-12-20 15.985883 16.023926 15.828047 16.022306    1858500    16.022306
## 2004-12-21 16.066828 16.177719 15.985888 16.176100    2205900    16.176100
## 2004-12-22 16.193902 16.220612 16.137243 16.172049    3082500    16.172049
## 2004-12-23 16.311578 16.311578 16.196055 16.282084    2463300    16.282084
## 2004-12-27 16.328786 16.341895 16.243579 16.269796    1151100    16.269796
## 2004-12-28 16.347625 16.383675 16.333698 16.354179    1299600    16.354179
## 2004-12-29 16.408248 16.444298 16.365645 16.444298    1217700    16.444298
## 2004-12-30 16.488546 16.501656 16.392688 16.402519    2145600    16.402519
## 2004-12-31 16.541803 16.541803 16.465609 16.537708    1507500    16.537708
## 2005-01-03 16.525417 16.586864 16.335338 16.365652    4275000    16.365652
## 2005-01-04 16.324684 16.332877 15.861775 15.861775    4205700    15.861775
## 2005-01-05 15.845393 15.875707 15.665145 15.667603    3006900    15.667603
## 2005-01-06 15.718401 15.740521 15.577481 15.656953    2268000    15.656953
## 2005-01-07 15.763460 15.792955 15.607793 15.687265    4920300    15.687265
## 2005-01-10 15.779850 15.862600 15.702015 15.706932    2007000    15.706932
## 2005-01-11 15.779849 15.783946 15.649579 15.677435    2440800    15.677435
## 2005-01-12 15.779844 15.870786 15.662684 15.869968    3574800    15.869968
## 2005-01-13 15.918313 15.927325 15.792140 15.804428    2884500    15.804428
## 2005-01-14 15.976482 16.087088 15.730688 16.087088    4399200    16.087088
## 2005-01-18 16.078070 16.078070 15.964188 16.058409    2329200    16.058409
## 2005-01-19 16.138705 16.138705 15.837199 15.837199    2631600    15.837199
## 2005-01-20 15.853583 15.871608 15.640563 15.640563    4074300    15.640563
## 2005-01-21 15.935517 15.955999 15.792139 15.853586    3189600    15.853586
## 2005-01-24 16.047760 16.050218 15.813440 15.829006    4424400    15.829006
## 2005-01-25 15.935515 16.066605 15.919129 15.972385    2938500    15.972385
## 2005-01-26 16.222268 16.222268 16.058407 16.205881    3998700    16.205881
## 2005-01-27 16.211619 16.242753 16.165736 16.221451    2467800    16.221451
## 2005-01-28 16.259139 16.275525 16.167377 16.236198    1911600    16.236198
## 2005-01-31 16.386136 16.529517 16.382859 16.450043    3035700    16.450043
## 2005-02-01 16.548355 16.623729 16.491003 16.590958    4391100    16.590958
## 2005-02-02 16.592595 16.643393 16.549992 16.643393    2074500    16.643393
## 2005-02-03 16.590960 16.642577 16.543441 16.626190    1639800    16.626190
## 2005-02-04 16.724506 16.910488 16.681084 16.885910    2437200    16.885910
## 2005-02-07 16.910487 16.965382 16.910487 16.939163    3883500    16.939163
## 2005-02-08 16.971939 16.996518 16.912130 16.971939    3652200    16.971939
## 2005-02-09 17.012902 17.023553 16.893284 16.917044    1933200    16.917044
## 2005-02-10 16.857234 16.999792 16.837571 16.998974    1835100    16.998974
## 2005-02-11 17.035026 17.244769 16.967843 17.164478    3395700    17.164478
## 2005-02-14 17.287365 17.322595 17.238206 17.287365    2181600    17.287365
## 2005-02-15 17.340624 17.410266 17.270983 17.328335    2188800    17.328335
## 2005-02-16 17.328335 17.334070 17.229200 17.275080    2810700    17.275080
## 2005-02-17 17.340625 17.363565 17.246405 17.246405    2733300    17.246405
## 2005-02-18 17.336534 17.482371 17.328342 17.458611    2485800    17.458611
## 2005-02-22 17.549547 17.647864 17.361106 17.394699    3030300    17.394699
## 2005-02-23 17.574124 17.574124 17.443036 17.474989    3665700    17.474989
## 2005-02-24 17.664254 17.775679 17.561841 17.746185    4342500    17.746185
## 2005-02-25 17.901852 18.110774 17.833029 18.073086    3551400    18.073086
## 2005-02-28 18.229573 18.232031 17.965757 18.042772    3399300    18.042772
## 2005-03-01 18.068169 18.106677 18.003445 18.093569    2586600    18.093569
## 2005-03-02 17.943634 17.964936 17.778954 17.795340    4113900    17.795340
## 2005-03-03 17.942816 17.942816 17.737990 17.844501    3303000    17.844501
## 2005-03-04 18.022291 18.096029 17.987880 18.057522    2894400    18.057522
## 2005-03-07 18.108314 18.221379 18.100940 18.176317    6369300    18.176317
## 2005-03-08 18.188609 18.188609 18.034580 18.037855    4140000    18.037855
## 2005-03-09 18.065713 18.131257 17.902671 17.934624    9405900    17.934624
## 2005-03-10 17.819922 17.901853 17.722424 17.762569    6785100    17.762569
## 2005-03-11 17.778138 17.901854 17.640493 17.662615    7883100    17.662615
## 2005-03-14 17.615917 17.709319 17.459431 17.527433    5286600    17.527433
## 2005-03-15 17.500388 17.500388 17.074348 17.090734   10213200    17.090734
## 2005-03-16 17.000613 17.162838 16.879356 16.945721    9432900    16.945721
## 2005-03-17 16.945721 17.275082 16.934250 17.254599    5334300    17.254599
## 2005-03-18 17.369300 17.369300 17.124327 17.176762    3633300    17.176762
## 2005-03-21 17.183319 17.185778 16.881814 16.928516    7577100    16.928516
## 2005-03-22 16.902298 17.117775 16.567202 16.615541    9414000    16.615541
## 2005-03-23 16.394325 16.647492 16.386131 16.404976    9893700    16.404976
## 2005-03-24 16.468064 16.672891 16.386133 16.386953    7579800    16.386953
## 2005-03-28 16.623729 16.623729 16.408252 16.500015    4377600    16.500015
## 2005-03-29 16.435287 16.435287 16.046116 16.073153    9969300    16.073153
## 2005-03-30 16.304199 16.509026 16.189498 16.439384    7332300    16.439384
## 2005-03-31 16.395147 16.672893 16.395147 16.615541    8780400    16.615541
## 2005-04-01 16.672892 17.100570 16.672892 16.713858   16286400    16.713858
## 2005-04-04 16.783494 16.783494 16.554908 16.750723    6831000    16.750723
## 2005-04-05 16.754820 16.877717 16.728603 16.746628    6283800    16.746628
## 2005-04-06 16.877719 17.171851 16.877719 16.976036    7750800    16.976036
## 2005-04-07 17.049769 17.164473 17.000610 17.147266    7542900    17.147266
## 2005-04-08 17.107120 17.125963 17.037479 17.066154    4489200    17.066154
## 2005-04-11 17.003073 17.016183 16.754004 16.902298    4360500    16.902298
## 2005-04-12 16.902298 17.115318 16.640121 17.115318    9810000    17.115318
## 2005-04-13 17.025194 17.025194 16.774488 16.774488    8005500    16.774488
## 2005-04-14 16.713855 16.713855 16.329599 16.345167   11493000    16.345167
## 2005-04-15 16.263234 16.370563 15.976478 16.001057   10748700    16.001057
## 2005-04-18 15.894545 16.190315 15.875702 16.190315    8464500    16.190315
## 2005-04-19 16.283720 16.467245 16.283720 16.461510   10558800    16.461510
## 2005-04-20 16.476252 16.476252 16.073153 16.073153    5861700    16.073153
## 2005-04-21 16.246846 16.544254 16.223086 16.536062    8097300    16.536062
## 2005-04-22 16.484448 16.504110 16.222270 16.353359    3726900    16.353359
## 2005-04-25 16.451682 16.680268 16.423007 16.663063    5287500    16.663063
## 2005-04-26 16.549993 16.654863 16.449217 16.492641    7710300    16.492641
## 2005-04-27 16.377938 16.449217 16.238657 16.343527    5884200    16.343527
## 2005-04-28 16.263238 16.263238 16.052677 16.082991    5853600    16.082991
## 2005-04-29 16.263234 16.441842 16.100192 16.408251    8967600    16.408251
## 2005-05-02 16.488545 16.713856 16.386131 16.517221    8076600    16.517221
## 2005-05-03 16.509033 16.572118 16.440210 16.501659    4197600    16.501659
## 2005-05-04 16.549991 17.006345 16.549991 16.951452   13998600    16.951452
## 2005-05-05 17.000613 17.153004 16.828559 17.040760    8592300    17.040760
## 2005-05-06 17.016998 17.152183 17.016998 17.086639    5188500    17.086639
## 2005-05-09 16.959642 17.150540 16.959642 17.102201    2353500    17.102201
## 2005-05-10 16.894107 16.949820 16.713860 16.717955   11310300    16.717955
## 2005-05-11 16.795790 16.813813 16.586047 16.795790    4614300    16.795790
## 2005-05-12 16.758914 16.803976 16.468060 16.509026    7258500    16.509026
## 2005-05-13 16.549993 16.554909 16.305839 16.339432   14046300    16.339432
## 2005-05-16 16.427098 16.533607 16.332877 16.533607    6050700    16.533607
## 2005-05-17 16.418089 16.589324 16.372208 16.537708    5792400    16.537708
## 2005-05-18 16.590962 16.959650 16.590962 16.867067    9004500    16.867067
## 2005-05-19 16.912129 16.967841 16.857235 16.928516    4374900    16.928516
## 2005-05-20 16.864608 16.894104 16.760556 16.885910    3003300    16.885910
## 2005-05-23 16.820365 16.976034 16.802341 16.941622    4296600    16.941622
## 2005-05-24 16.858871 16.892464 16.828557 16.892464    2808000    16.892464
## 2005-05-25 16.858874 16.858874 16.754821 16.771208    2107800    16.771208
## 2005-05-26 16.857237 16.999795 16.853140 16.959650    2253600    16.959650
## 2005-05-27 17.033384 17.096471 16.997335 17.074350    1422900    17.074350
## 2005-05-31 17.041582 17.041582 16.906396 16.926880    2979000    16.926880
## 2005-06-01 16.877720 17.139897 16.867889 17.126789   12789000    17.126789
## 2005-06-02 17.107122 17.261970 17.090735 17.257055    4039200    17.257055
## 2005-06-03 17.261977 17.327522 17.136623 17.167757    5648400    17.167757
## 2005-06-06 17.206256 17.343900 17.172665 17.340622    3159900    17.340622
## 2005-06-07 17.305396 17.413546 17.230020 17.254599    5063400    17.254599
## 2005-06-08 17.316866 17.362747 17.186596 17.189054    3300300    17.189054
## 2005-06-09 17.180860 17.475812 17.060423 17.279177    2521200    17.279177
## 2005-06-10 17.721602 17.721602 17.210355 17.328335    1604100    17.328335
## 2005-06-13 17.352912 17.451230 17.279174 17.397154    2461200    17.397154
## 2005-06-14 17.434025 17.470894 17.365203 17.468437    3508500    17.468437
## 2005-06-15 17.468436 17.598705 17.409446 17.598705    4562400    17.598705
## 2005-06-16 17.574127 17.783051 17.574127 17.756014    7155300    17.756014
## 2005-06-17 17.795341 17.987058 17.795341 17.969854    9405000    17.969854
## 2005-06-20 17.795342 17.854332 17.682278 17.807632    3104400    17.807632
## 2005-06-21 17.770764 17.770764 17.697026 17.721605    1580100    17.721605
## 2005-06-22 17.942814 17.950188 17.773219 17.888741    1702500    17.888741
## 2005-06-23 17.893655 17.893655 17.552004 17.574125    3368400    17.574125
## 2005-06-24 17.552010 17.586422 17.475816 17.512684    2401500    17.512684
## 2005-06-27 17.532342 17.721602 17.478267 17.623285    2256000    17.623285
## 2005-06-28 17.635577 17.783051 17.623286 17.756014    2268000    17.756014
## 2005-06-29 17.795340 17.795340 17.628203 17.652782    2398800    17.652782
## 2005-06-30 17.928066 17.928066 17.237391 17.598705    6049800    17.598705
## 2005-07-01 17.756016 17.773221 17.610999 17.662615    3820200    17.662615
## 2005-07-05 17.574125 17.741264 17.549546 17.741264    4650300    17.741264
## 2005-07-06 17.556918 17.746179 17.556918 17.655235    3660600    17.655235
## 2005-07-07 17.451230 17.709310 17.451230 17.706852    2380200    17.706852
## 2005-07-08 17.721601 17.903488 17.706853 17.891197    3537300    17.891197
## 2005-07-11 17.940363 18.164034 17.940363 18.164034    4310400    18.164034
## 2005-07-12 18.237765 18.407360 18.193521 18.380323    2952900    18.380323
## 2005-07-13 18.434402 18.434402 18.318879 18.368038    9842700    18.368038
## 2005-07-14 18.680195 18.680195 18.436860 18.473730    9327300    18.473730
## 2005-07-15 18.554839 18.554839 18.311503 18.372953    2388000    18.372953
## 2005-07-18 18.372960 18.372960 18.262352 18.316427    3743100    18.316427
## 2005-07-19 18.360665 18.530260 18.338544 18.525345    5014500    18.525345
## 2005-07-20 18.495849 18.569586 18.397534 18.527803    5917800    18.527803
## 2005-07-21 18.562213 18.766223 18.554841 18.729353    4680900    18.729353
## 2005-07-22 18.729351 18.736724 18.662986 18.685108    2613000    18.685108
## 2005-07-25 18.736724 18.790799 18.522886 18.522886    4800900    18.522886
## 2005-07-26 18.567133 18.628580 18.449153 18.628580    5155800    18.628580
## 2005-07-27 18.643326 18.839959 18.594168 18.729353    5392500    18.729353
## 2005-07-28 18.803086 19.024298 18.790797 18.962851    7756800    18.962851
## 2005-07-29 18.982516 19.026758 18.928441 18.950563    4639200    18.950563
## 2005-08-01 19.098040 19.260263 19.098040 19.260263    5386200    19.260263
## 2005-08-02 19.503598 19.601913 19.356122 19.601913    4568100    19.601913
## 2005-08-03 19.614201 19.631407 19.444606 19.552753    3892500    19.552753
## 2005-08-04 19.510966 19.538005 19.331539 19.380697    5318400    19.380697
## 2005-08-05 19.378242 19.380699 18.930899 19.024300    7166400    19.024300
## 2005-08-08 19.036593 19.270094 19.036593 19.154572    6216900    19.154572
## 2005-08-09 19.196352 19.562583 19.196352 19.540461    3804600    19.540461
## 2005-08-10 19.754307 19.855080 19.579793 19.749390    6550200    19.749390
## 2005-08-11 19.798546 19.798546 19.542921 19.638781    4969200    19.638781
## 2005-08-12 19.614205 19.614205 19.233226 19.429861    4800600    19.429861
## 2005-08-15 19.540463 19.611742 19.447062 19.565042    4788300    19.565042
## 2005-08-16 19.560124 19.562582 19.225847 19.225847    4863300    19.225847
## 2005-08-17 19.287301 19.329085 19.171778 19.238142    5755200    19.238142
## 2005-08-18 18.987435 19.036594 18.842417 18.884203    7233000    18.884203
## 2005-08-19 18.975146 18.999724 18.778512 18.810465    3652200    18.810465
## 2005-08-22 19.110325 19.245509 18.987428 19.043961    6493500    19.043961
## 2005-08-23 19.043966 19.043966 18.852248 18.864536    8372100    18.864536
## 2005-08-24 18.886659 18.886659 18.618746 18.618746    6586500    18.618746
## 2005-08-25 18.778507 18.901403 18.707228 18.827665    5783700    18.827665
## 2005-08-26 18.903864 18.925986 18.739184 18.803089    6064800    18.803089
## 2005-08-29 18.763762 19.012011 18.714602 19.009554    6831300    19.009554
## 2005-08-30 18.997266 18.999724 18.810465 18.810465    7609500    18.810465
## 2005-08-31 18.925986 19.213562 18.925986 19.201273    5673000    19.201273
## 2005-09-01 19.294675 19.493765 19.294675 19.466728    3919800    19.466728
## 2005-09-02 19.503596 19.663361 19.503596 19.638781    3695100    19.638781
## 2005-09-06 19.786259 19.946024 19.714981 19.884577    5546700    19.884577
## 2005-09-07 19.982893 19.982893 19.791175 19.909155    5695800    19.909155
## 2005-09-08 19.690399 19.943565 19.690399 19.877201    3900600    19.877201
## 2005-09-09 19.946018 20.206559 19.946018 20.169689    4093800    20.169689
## 2005-09-12 20.400732 20.400732 20.120528 20.140192    3704400    20.140192
## 2005-09-13 19.985348 20.122992 19.901779 19.914068    3419400    19.914068
## 2005-09-14 20.007463 20.007463 19.786250 19.842783    4386000    19.842783
## 2005-09-15 20.032049 20.051711 19.948478 19.958311    3421800    19.958311
## 2005-09-16 20.083663 20.270464 20.083663 20.265549    2344200    20.265549
## 2005-09-19 20.326997 20.339285 20.211474 20.236053    2944200    20.236053
## 2005-09-20 20.425321 20.457274 20.228685 20.290134    5556900    20.290134
## 2005-09-21 20.491676 20.499048 20.093492 20.481844    7039500    20.481844
## 2005-09-22 20.656353 20.656353 20.132817 20.277834   13828800    20.277834
## 2005-09-23 20.204103 20.297504 20.108244 20.260635    3488400    20.260635
## 2005-09-26 20.231137 20.469556 20.231137 20.440060    5961300    20.440060
## 2005-09-27 20.462185 20.462185 20.272925 20.304878    5322000    20.304878
## 2005-09-28 20.408113 20.543299 20.388450 20.535925    2720400    20.535925
## 2005-09-29 20.646530 20.926732 20.548214 20.897238    5568300    20.897238
## 2005-09-30 20.887407 20.892321 20.759595 20.862827    5457600    20.862827
## 2005-10-03 20.953771 21.044713 20.862826 20.995554   11126100    20.995554
## 2005-10-04 21.113531 21.118447 20.735013 20.798918    5229600    20.798918
## 2005-10-05 20.646528 20.968515 20.154943 20.167234    9299700    20.167234
## 2005-10-06 20.034498 20.034498 19.265170 19.461803   16650600    19.461803
## 2005-10-07 19.663361 20.027132 19.663361 19.943563   11688900    19.943563
## 2005-10-10 19.960770 20.272926 19.857537 19.877201    6595500    19.877201
## 2005-10-11 20.154944 20.253262 19.911610 19.963228    7642500    19.963228
## 2005-10-12 19.884568 19.933726 19.282378 19.351200   18120300    19.351200
## 2005-10-13 19.147201 19.245518 18.827671 19.230770   10996200    19.230770
## 2005-10-14 19.292208 19.306954 18.815371 19.157022    8911800    19.157022
## 2005-10-17 19.184066 19.491306 19.184066 19.368410   10719000    19.368410
## 2005-10-18 19.385617 19.385617 18.876827 18.876827    7567500    18.876827
## 2005-10-19 18.495845 19.277465 18.444229 19.245512   15258000    19.245512
## 2005-10-20 19.220937 19.341375 18.397534 18.471270    8560800    18.471270
## 2005-10-21 18.741639 19.012009 18.655610 18.962851    5144700    18.962851
## 2005-10-24 19.048875 19.491300 19.024296 19.474096   11245800    19.474096
## 2005-10-25 19.417569 19.442150 18.989891 19.090666    8218500    19.090666
## 2005-10-26 19.370868 19.439689 18.842415 19.159487    6779400    19.159487
## 2005-10-27 19.196354 19.220935 18.655612 18.704771    8886000    18.704771
## 2005-10-28 18.889115 19.216017 18.778508 19.196354   12135300    19.196354
## 2005-10-31 19.282379 19.712516 19.282379 19.540461   15594000    19.540461
## 2005-11-01 19.577336 19.904241 19.577336 19.884577   12283800    19.884577
## 2005-11-02 19.909153 20.265552 19.872285 20.191814    8200500    20.191814
## 2005-11-03 20.277841 20.486764 20.154944 20.213936   11960400    20.213936
## 2005-11-04 20.272925 20.272925 19.798546 20.172150    7893600    20.172150
## 2005-11-07 20.179523 20.191812 19.933731 20.186897    4339200    20.186897
## 2005-11-08 19.899320 20.125448 19.872283 19.997637    5464500    19.997637
## 2005-11-09 20.007471 20.324543 19.973060 20.297506    6615600    20.297506
## 2005-11-10 20.277840 20.363867 19.995179 20.329456   10086300    20.329456
## 2005-11-11 20.327004 20.393368 20.228685 20.373703    3302100    20.373703
## 2005-11-14 20.299957 20.336825 20.108239 20.319620    3023100    20.319620
## 2005-11-15 20.304871 20.398272 20.135275 20.204096    6796800    20.204096
## 2005-11-16 20.268007 20.376154 20.132820 20.376154    5853900    20.376154
## 2005-11-17 20.523630 20.739928 20.503968 20.676023   10072200    20.676023
## 2005-11-18 20.695682 20.909520 20.597363 20.732550    9530400    20.732550
## 2005-11-21 20.747304 20.818584 20.617034 20.744846    7098000    20.744846
## 2005-11-22 20.437605 20.744845 20.373698 20.735014    4916400    20.735014
## 2005-11-23 20.794007 21.052087 20.769428 20.953772    5970300    20.953772
## 2005-11-25 20.963605 21.002932 20.916905 20.939026    1453200    20.939026
## 2005-11-28 20.985722 21.071751 20.757136 20.806295    6867300    20.806295
## 2005-11-29 20.892314 20.975884 20.617027 20.621944    9563100    20.621944
## 2005-11-30 20.661279 20.855454 20.661279 20.671110    7608600    20.671110
## 2005-12-01 20.855451 21.261007 20.855451 21.211849    7673100    21.211849
## 2005-12-02 21.246259 21.359323 21.167605 21.187269    7122000    21.187269
## 2005-12-05 21.378986 21.396190 21.211846 21.359322    4209300    21.359322
## 2005-12-06 21.494513 21.641989 21.445354 21.555962    6533400    21.555962
## 2005-12-07 21.700972 21.728010 21.305247 21.351948    7268400    21.351948
## 2005-12-08 21.236426 21.428144 21.138111 21.192184    6384000    21.192184
## 2005-12-09 21.258551 21.423232 21.199561 21.408484    2322900    21.408484
## 2005-12-12 21.440435 21.713264 21.440435 21.531378    4220400    21.531378
## 2005-12-13 21.654273 21.833702 21.484677 21.814037    9045000    21.814037
## 2005-12-14 21.826327 21.826327 21.575619 21.669020    6297600    21.669020
## 2005-12-15 21.814044 21.814044 21.519093 21.580542    6546900    21.580542
## 2005-12-16 21.506804 21.629698 21.501887 21.506804    4561200    21.506804
## 2005-12-19 21.691139 21.762417 21.445345 21.457636    8100000    21.457636
## 2005-12-20 21.629698 21.678858 21.506804 21.641989    4222200    21.641989
## 2005-12-21 21.801753 22.010675 21.728015 21.993471    9747900    21.993471
## 2005-12-22 21.959058 22.096701 21.912357 21.998383    5450700    21.998383
## 2005-12-23 22.094817 22.196717 22.020256 22.129612    2106000    22.129612
## 2005-12-27 22.020256 22.368206 21.883562 21.883562    3692400    21.883562
## 2005-12-28 21.995401 21.995401 21.846279 21.943209    3779100    21.943209
## 2005-12-29 22.102270 22.102270 21.933267 21.945692    4242300    21.945692
## 2005-12-30 21.945695 22.015286 21.684732 21.933270    5410500    21.933270
## 2006-01-03 22.412939 22.803140 22.368203 22.753433   20919600    22.753433
## 2006-01-04 22.865279 23.029311 22.865279 22.959721    9089400    22.959721
## 2006-01-05 22.845392 23.076532 22.845392 23.076532    4833600    23.076532
## 2006-01-06 23.374771 23.603425 23.200797 23.558687    6328800    23.558687
## 2006-01-09 23.735149 23.837049 23.474188 23.789829    6943800    23.789829
## 2006-01-10 23.556203 23.610883 23.307668 23.504011    6392700    23.504011
## 2006-01-11 23.561175 23.782372 23.362345 23.779886    7186200    23.779886
## 2006-01-12 23.834565 23.834565 23.414540 23.449335    8059500    23.449335
## 2006-01-13 23.511470 23.598457 23.399629 23.474190    5502300    23.474190
## 2006-01-17 23.233105 23.362343 22.992025 23.064100   16205700    23.064100
## 2006-01-18 22.678877 23.285302 22.676391 23.051680   16159200    23.051680
## 2006-01-19 23.362350 23.829597 23.362350 23.797289   13730700    23.797289
## 2006-01-20 23.829592 23.946406 23.088957 23.088957   17342400    23.088957
## 2006-01-23 23.367321 23.760008 23.312643 23.760008   13689900    23.760008
## 2006-01-24 23.712778 24.135288 23.712778 24.132805   10876500    24.132805
## 2006-01-25 24.366435 24.440995 24.045824 24.145237    7494300    24.145237
## 2006-01-26 24.286899 24.716867 24.279442 24.716867    7874700    24.716867
## 2006-01-27 24.853560 25.199024 24.759119 25.000196   11523600    25.000196
## 2006-01-30 24.778997 24.965398 24.778997 24.883381    8699400    24.883381
## 2006-01-31 24.928122 25.074758 24.731777 25.047419   10566900    25.047419
## 2006-02-01 25.077242 25.102099 24.893326 25.034994    9951600    25.034994
## 2006-02-02 24.865981 24.895806 24.242157 24.391279   14202900    24.391279
## 2006-02-03 23.983688 24.391285 23.784858 24.058247   13244400    24.058247
## 2006-02-06 24.450926 24.629873 24.299321 24.629873    7114500    24.629873
## 2006-02-07 24.356488 24.455901 23.899182 23.983685   12815700    23.983685
## 2006-02-08 23.740122 24.204883 23.740122 24.058247   13062600    24.058247
## 2006-02-09 24.232225 24.440994 24.095529 24.120382    9540600    24.120382
## 2006-02-10 24.381341 24.381341 23.832077 24.083097   10590300    24.083097
## 2006-02-13 23.884264 23.938943 23.486608 23.489092   13001100    23.489092
## 2006-02-14 23.717750 24.107950 23.412052 24.083097   14792700    24.083097
## 2006-02-15 24.033389 24.356486 23.737631 23.958826   18738600    23.958826
## 2006-02-16 24.204884 24.585142 24.107954 24.580173   10565400    24.580173
## 2006-02-17 24.582656 24.649760 24.480754 24.547859    6347700    24.547859
## 2006-02-21 24.791428 24.791428 24.331635 24.331635    9556800    24.331635
## 2006-02-22 24.532946 24.657215 24.351516 24.463358    8539200    24.463358
## 2006-02-23 24.622425 24.654733 24.396257 24.455904    8505900    24.455904
## 2006-02-24 24.518035 24.642304 24.455902 24.503126    7235700    24.503126
## 2006-02-27 24.746689 24.808824 24.535434 24.726807    5115000    24.726807
## 2006-02-28 24.647274 24.647274 24.033391 24.083097   20988300    24.083097
## 2006-03-01 24.329152 25.057361 24.180030 24.749176    9530100    24.749176
## 2006-03-02 24.669648 24.791431 24.552837 24.769064   10189200    24.769064
## 2006-03-03 24.473300 24.654730 24.334119 24.356489   15171600    24.356489
## 2006-03-06 24.555316 24.555316 23.911609 23.983685   13545300    23.983685
## 2006-03-07 23.571112 23.598451 23.026819 23.138660   32533800    23.138660
## 2006-03-08 23.136181 23.315125 22.741008 23.275360   32375100    23.275360
## 2006-03-09 23.412052 23.623307 22.964688 23.039249   20971200    23.039249
## 2006-03-10 23.474189 23.608398 23.111328 23.523895   18543600    23.523895
## 2006-03-13 23.595973 23.834567 23.479161 23.499043   19936800    23.499043
## 2006-03-14 23.441878 24.232220 23.441878 24.232220   20653200    24.232220
## 2006-03-15 24.160145 24.513067 24.125351 24.513067   14973900    24.513067
## 2006-03-16 24.503127 24.525494 24.281929 24.294355   17170200    24.294355
## 2006-03-17 24.465843 24.739233 24.309266 24.465843    5374200    24.465843
## 2006-03-20 24.572716 24.711894 24.465843 24.605024    8230200    24.605024
## 2006-03-21 24.602544 24.602544 23.983692 24.107958   17346300    24.107958
## 2006-03-22 23.906637 24.431047 23.906637 24.373884   11249100    24.373884
## 2006-03-23 24.373885 24.513066 24.130322 24.147717   10087200    24.147717
## 2006-03-24 24.095525 24.537919 24.095525 24.356489    7353900    24.356489
## 2006-03-27 24.356493 24.540409 24.281931 24.505615    7625100    24.505615
## 2006-03-28 24.281929 24.431050 23.986171 24.058247   15700200    24.058247
## 2006-03-29 24.239674 24.547859 24.083098 24.518034   11307600    24.518034
## 2006-03-30 24.542891 24.950488 24.406195 24.642303   16846200    24.642303
## 2006-03-31 24.749174 24.962915 24.480755 24.605024   18236100    24.605024
## 2006-04-03 24.923151 25.400339 24.915696 25.300926   17877300    25.300926
## 2006-04-04 25.532062 25.532062 25.238790 25.450045   12881400    25.450045
## 2006-04-05 25.497265 25.711006 25.450041 25.711006   12655500    25.711006
## 2006-04-06 25.626506 25.748289 25.300925 25.579285   21627900    25.579285
## 2006-04-07 25.661306 25.723439 25.126954 25.189087   12541200    25.189087
## 2006-04-10 25.300926 25.549461 25.074759 25.102098   10635600    25.102098
## 2006-04-11 25.410283 25.410283 24.853560 24.888357   17663700    24.888357
## 2006-04-12 24.918177 25.052386 24.878414 25.032505    7422600    25.032505
## 2006-04-13 25.238787 25.238787 24.890837 25.151802    9084900    25.151802
## 2006-04-17 25.320807 25.556919 25.305895 25.450045   12517500    25.450045
## 2006-04-18 25.793020 26.314943 25.713489 26.295061   22776900    26.295061
## 2006-04-19 26.339808 26.481472 26.083816 26.456619   11622600    26.456619
## 2006-04-20 26.590818 26.593304 26.116116 26.362165   12247800    26.362165
## 2006-04-21 26.836879 26.836879 26.382058 26.568460    7167600    26.568460
## 2006-04-24 26.461590 26.461590 26.034108 26.220510    9843000    26.220510
## 2006-04-25 26.128548 26.334835 25.822849 25.860132   12576600    25.860132
## 2006-04-26 26.106177 26.406907 26.058957 26.369627   10150200    26.369627
## 2006-04-27 25.847701 26.270211 25.807936 25.954571   12132900    25.954571
## 2006-04-28 26.009256 26.247853 25.897417 26.208088    8287500    26.208088
## 2006-05-01 26.329870 26.498876 26.195660 26.200632    7207500    26.200632
## 2006-05-02 26.469043 26.712609 26.344774 26.662899    8359800    26.662899
## 2006-05-03 26.814507 26.829420 26.496382 26.692724    9237600    26.692724
## 2006-05-04 26.742435 27.087899 26.742435 26.953690    8972700    26.953690
## 2006-05-05 27.142574 27.388626 27.127661 27.388626    9864600    27.388626
## 2006-05-08 27.393600 27.649589 27.388628 27.587456    9239700    27.587456
## 2006-05-09 27.512891 27.644614 27.453240 27.612303    4636500    27.612303
## 2006-05-10 27.627218 27.627218 27.219621 27.314062   11206200    27.314062
## 2006-05-11 27.386129 27.388615 26.610697 26.618155   17960100    26.618155
## 2006-05-12 26.543606 26.565977 25.810429 25.922268   22257600    25.922268
## 2006-05-15 25.599167 25.599167 24.416138 25.300926   24311100    25.300926
## 2006-05-16 25.300933 25.636453 25.263650 25.427685   15832800    25.427685
## 2006-05-17 24.990249 25.474895 24.455898 24.555313   30187800    24.555313
## 2006-05-18 24.709407 24.861015 23.983685 24.083097   28706100    24.083097
## 2006-05-19 24.421113 24.602543 23.784861 24.602543   27077400    24.602543
## 2006-05-22 23.610883 23.630765 22.989542 23.444363   36723000    23.444363
## 2006-05-23 23.931492 24.306779 23.138663 23.188370   23924100    23.188370
## 2006-05-24 23.409570 23.573604 22.529754 23.026825   40896900    23.026825
## 2006-05-25 23.342468 24.356494 23.317614 24.006058   27125400    24.006058
## 2006-05-26 24.170090 24.182517 23.588516 23.933979   21078600    23.933979
## 2006-05-30 23.822137 23.834563 22.842906 22.902555   21595500    22.902555
## 2006-05-31 23.113808 23.511464 22.977114 23.287783   21795000    23.287783
## 2006-06-01 23.344947 23.809709 23.113810 23.764973   21657900    23.764973
## 2006-06-02 24.107956 24.249623 23.697872 24.008543   21639000    24.008543
## 2006-06-05 23.767462 23.859420 22.987060 22.989544   21981600    22.989544
## 2006-06-06 23.138664 23.161033 22.144523 22.820539   32128500    22.820539
## 2006-06-07 22.631653 23.088959 22.293644 22.318497   25623900    22.318497
## 2006-06-08 21.761778 22.032681 21.100673 21.920841   53812500    21.920841
## 2006-06-09 22.137072 22.266310 21.570410 21.635029   17875800    21.635029
## 2006-06-12 21.635022 21.729466 20.829767 20.829767   23369400    20.829767
## 2006-06-13 20.404775 20.792490 20.218373 20.367495   39589800    20.367495
## 2006-06-14 20.668220 20.951551 20.404773 20.951551   36358200    20.951551
## 2006-06-15 21.388973 22.184287 21.374063 22.171862   41565600    22.171862
## 2006-06-16 21.980491 22.219084 21.697160 22.045111   28824000    22.045111
## 2006-06-19 22.082385 22.119666 21.224937 21.224937   20487600    21.224937
## 2006-06-20 21.423773 21.709588 21.324358 21.485907   19972800    21.485907
## 2006-06-21 21.458569 22.263825 21.426260 22.181807   21750900    22.181807
## 2006-06-22 22.057531 22.057531 21.625079 21.784143   10948800    21.784143
## 2006-06-23 21.779169 21.866158 21.374058 21.746861   12987600    21.746861
## 2006-06-26 21.699638 21.843789 21.565428 21.746861    6643800    21.746861
## 2006-06-27 21.871134 22.097303 21.336784 21.336784   17815200    21.336784
## 2006-06-28 21.796571 22.012796 21.622595 22.005339   16581900    22.005339
## 2006-06-29 22.253877 23.312639 22.224054 23.312639   36345000    23.312639
## 2006-06-30 23.407084 23.561177 23.101386 23.337494   16226700    23.337494
## 2006-07-03 23.760004 23.881786 23.598456 23.854448    9471900    23.854448
## 2006-07-05 23.553719 23.558689 23.036765 23.113811   14130900    23.113811
## 2006-07-06 23.295239 23.598452 23.190853 23.586025   13339200    23.586025
## 2006-07-07 23.399622 23.511463 23.026819 23.138660   14808000    23.138660
## 2006-07-10 23.265417 23.586028 23.180916 23.325066   14485800    23.325066
## 2006-07-11 23.138667 23.486617 22.934868 23.436909   19364100    23.436909
## 2006-07-12 23.238083 23.434425 22.914986 22.914986   13653900    22.914986
## 2006-07-13 22.472591 22.726098 22.007830 22.007830   29471700    22.007830
## 2006-07-14 22.147009 22.243937 21.806516 22.119671   26451300    22.119671
## 2006-07-17 22.072442 22.156945 21.694668 21.771715   14676600    21.771715
## 2006-07-18 22.045106 22.181800 21.639992 22.074930   28726800    22.074930
## 2006-07-19 22.238969 23.436909 22.127127 23.436909   45463500    23.436909
## 2006-07-20 23.412055 23.412055 22.649051 22.763378   26586900    22.763378
## 2006-07-21 22.827999 22.939840 22.219086 22.320986   17352000    22.320986
## 2006-07-24 22.865276 23.424481 22.678875 23.325066   29593800    23.325066
## 2006-07-25 23.143635 23.526378 23.066587 23.387199   24092100    23.387199
## 2006-07-26 23.213222 23.382227 23.064099 23.287783   21140400    23.287783
## 2006-07-27 23.541288 23.996108 23.446845 23.608393   26686200    23.608393
## 2006-07-28 23.710292 24.175053 23.635733 24.115406   19556400    24.115406
## 2006-07-31 23.829590 23.973740 23.722721 23.884268   12055500    23.884268
## 2006-08-01 23.797287 23.797287 23.389689 23.499043   12905700    23.499043
## 2006-08-02 23.755035 24.008541 23.682958 23.809711   11765400    23.809711
## 2006-08-03 23.633251 23.864389 23.536322 23.784857   20232600    23.784857
## 2006-08-04 24.122865 24.296839 23.697869 23.834564   13248300    23.834564
## 2006-08-07 23.802251 23.998596 23.610881 23.685440   10211100    23.685440
## 2006-08-08 23.834562 24.145230 23.675498 23.685440   21186600    23.685440
## 2006-08-09 24.204886 24.229739 23.752552 23.774920   16465500    23.774920
## 2006-08-10 23.712779 24.018478 23.700353 24.018478   16806000    24.018478
## 2006-08-11 23.881788 23.943924 23.692902 23.727697   10008000    23.727697
## 2006-08-14 23.983686 24.127837 23.740121 23.822138   13225200    23.822138
## 2006-08-15 24.182513 24.418621 24.070671 24.406195   15625800    24.406195
## 2006-08-16 24.597571 24.711896 24.480757 24.644791   16954200    24.644791
## 2006-08-17 24.555320 24.853561 24.530468 24.679586   14195700    24.679586
## 2006-08-18 24.629879 24.629879 24.244648 24.445963   15367800    24.445963
## 2006-08-21 24.234711 24.319214 24.180032 24.319214    8211900    24.319214
## 2006-08-22 24.306784 24.443479 24.167606 24.311756   13214100    24.311756
## 2006-08-23 24.306779 24.366429 23.846990 23.871843   16609800    23.871843
## 2006-08-24 24.015999 24.015999 23.717756 23.807230   19815600    23.807230
## 2006-08-25 23.809707 24.045817 23.797282 23.874327   15732000    23.874327
## 2006-08-28 23.861909 24.145237 23.779891 24.145237   12025500    24.145237
## 2006-08-29 24.184996 24.244643 23.983682 24.227245   13001400    24.227245
## 2006-08-30 24.209855 24.356491 24.189971 24.331635    9975900    24.331635
## 2006-08-31 24.346543 24.388795 24.197424 24.262043    6705300    24.262043
## 2006-09-01 24.306781 24.600054 24.276959 24.532949   10823100    24.532949
## 2006-09-05 24.669646 24.754149 24.634852 24.667160   11867100    24.667160
## 2006-09-06 24.503122 24.503122 23.958826 23.958826   15465600    23.958826
## 2006-09-07 23.859415 23.953859 23.623306 23.685440   22688400    23.685440
## 2006-09-08 23.822139 23.921551 23.797286 23.879303   10068300    23.879303
## 2006-09-11 23.576089 23.610884 23.193343 23.364832   28418400    23.364832
## 2006-09-12 23.518923 23.832078 23.489098 23.764973   17313600    23.764973
## 2006-09-13 23.710299 24.187487 23.710299 24.120382   17062500    24.120382
## 2006-09-14 24.083093 24.083093 23.914090 23.921545   13438500    23.921545
## 2006-09-15 24.107957 24.187489 23.911615 24.063223   17227500    24.063223
## 2006-09-18 24.170091 24.523010 24.135294 24.334122   17154300    24.334122
## 2006-09-19 24.336601 24.388794 23.598451 23.958826   35435700    23.958826
## 2006-09-20 24.095521 24.505607 24.095521 24.450926   39691800    24.450926
## 2006-09-21 24.368917 24.418623 23.797285 23.854448   40404300    23.854448
## 2006-09-22 23.673018 23.715269 23.454307 23.551235   25682100    23.551235
## 2006-09-25 23.665556 23.824619 23.255474 23.824619   29428800    23.824619
## 2006-09-26 23.750061 24.110438 23.685442 24.105469   23627700    24.105469
## 2006-09-27 24.110434 24.132804 23.906634 24.050787   30248400    24.050787
## 2006-09-28 24.142748 24.244646 24.013510 24.244646   17789400    24.244646
## 2006-09-29 24.145228 24.219791 24.020962 24.050787   14059800    24.050787
## 2006-10-02 23.946407 24.299326 23.859418 24.011026   14692200    24.011026
## 2006-10-03 23.874328 23.936461 23.685440 23.685440   26399400    23.685440
## 2006-10-04 23.586032 24.356494 23.586032 24.319214   32286300    24.319214
## 2006-10-05 24.321692 24.861016 24.321692 24.642303   23440200    24.642303
## 2006-10-06 24.540408 24.639820 24.408684 24.580173   22264500    24.580173
## 2006-10-09 24.358973 24.639818 24.339091 24.488213   14041500    24.488213
## 2006-10-10 24.480761 24.709414 24.470821 24.709414   10648500    24.709414
## 2006-10-11 24.555321 24.771544 24.493185 24.577688   14990100    24.577688
## 2006-10-12 24.637337 25.226368 24.637337 25.176661   29405400    25.176661
## 2006-10-13 25.201508 25.437620 25.176655 25.325777   20139600    25.325777
## 2006-10-16 25.363056 25.467441 25.323291 25.395367   12192600    25.395367
## 2006-10-17 25.176657 25.286013 24.933091 25.062332   22278300    25.062332
## 2006-10-18 25.350627 26.295062 25.159254 25.308376   13058100    25.308376
## 2006-10-19 25.300922 25.442586 25.184111 25.420219   17712900    25.420219
## 2006-10-20 25.502241 25.502241 25.213938 25.300926    8516100    25.300926
## 2006-10-23 25.263634 25.350623 25.072264 25.278547   10940100    25.278547
## 2006-10-24 25.310861 25.422703 25.236301 25.422703   13887300    25.422703
## 2006-10-25 25.487323 25.718460 25.432646 25.718460   13429500    25.718460
## 2006-10-26 25.847707 25.855161 25.626508 25.780602   14022600    25.780602
## 2006-10-27 25.591706 25.686150 25.340686 25.350626   16726200    25.350626
## 2006-10-30 25.263645 25.263645 24.992743 25.263645   13016100    25.263645
## 2006-10-31 25.469925 25.748285 25.328261 25.748285   15638700    25.748285
## 2006-11-01 25.820365 25.929722 25.489813 25.489813   21519900    25.489813
## 2006-11-02 25.489816 25.658820 25.437625 25.569345   11107500    25.569345
## 2006-11-03 25.708525 26.344775 25.606626 25.648878   14080500    25.648878
## 2006-11-06 25.852678 26.282645 25.852678 26.257792   17758200    26.257792
## 2006-11-07 26.282642 26.389512 26.126065 26.145947   17495400    26.145947
## 2006-11-08 25.974453 26.309977 25.922260 26.213047   13207500    26.213047
## 2006-11-09 26.382053 26.593311 26.280155 26.302525   13462800    26.302525
## 2006-11-10 26.401937 26.469042 26.257787 26.339804    7724700    26.339804
## 2006-11-13 26.292578 26.441700 26.220505 26.429274    7749600    26.429274
## 2006-11-14 26.590819 26.869178 26.558508 26.841839   13497900    26.841839
## 2006-11-15 26.816994 26.918893 26.692725 26.891554    9692700    26.891554
## 2006-11-16 26.953689 26.966115 26.610708 26.620651   18023400    26.620651
## 2006-11-17 26.513782 26.590828 26.377087 26.590828   16318800    26.590828
## 2006-11-20 26.431761 26.647987 26.382051 26.486439   19312500    26.486439
## 2006-11-21 26.593312 26.908951 26.593312 26.908951   19997400    26.908951
## 2006-11-22 26.990969 27.182342 26.894039 27.097839   18803400    27.097839
## 2006-11-24 26.938772 27.169909 26.928832 27.092863    6264900    27.092863
## 2006-11-27 27.304125 27.304125 26.580889 26.580889   26716200    26.580889
## 2006-11-28 26.580883 26.734974 26.382051 26.734974   28599900    26.734974
## 2006-11-29 26.913923 27.281754 26.913923 27.167429   22907400    27.167429
## 2006-11-30 27.259384 27.480580 27.140088 27.289206   13969500    27.289206
## 2006-12-01 27.403539 27.473130 26.966117 27.177372   29047200    27.177372
## 2006-12-04 27.338923 27.803684 27.289213 27.744034   16613100    27.744034
## 2006-12-05 27.845925 28.243582 27.791248 28.228670   32339400    28.228670
## 2006-12-06 27.965228 28.166542 27.935402 28.034815   11058000    28.034815
## 2006-12-07 28.034810 28.146653 27.808643 27.935398   15916500    27.935398
## 2006-12-08 27.860844 28.014934 27.716690 27.811134   11158500    27.811134
## 2006-12-11 27.860842 27.880722 27.714202 27.823559    6801900    27.823559
## 2006-12-12 27.649590 27.686870 27.309098 27.488045   17909100    27.488045
## 2006-12-13 27.560111 27.674440 27.520346 27.637157    9894000    27.637157
## 2006-12-14 27.791250 28.129256 27.786278 28.109375   11988300    28.109375
## 2006-12-15 28.318146 28.320632 28.134231 28.233646   11638500    28.233646
## 2006-12-18 28.258494 28.422526 28.009957 28.037296   12088800    28.037296
## 2006-12-19 27.736569 27.962736 27.488035 27.860838   31979400    27.860838
## 2006-12-20 28.153999 28.224579 28.068296 28.169123   12470700    28.169123
## 2006-12-21 28.169127 28.232144 27.975030 28.118713   14906700    28.118713
## 2006-12-22 28.232145 28.257355 27.990155 28.219542    9581100    28.219542
## 2006-12-26 28.206940 28.519511 28.184255 28.481701    5689800    28.481701
## 2006-12-27 28.683353 28.887533 28.564880 28.887533   16816200    28.887533
## 2006-12-28 28.900139 28.937949 28.716124 28.832079    8598900    28.832079
## 2006-12-29 28.849728 28.932909 28.753940 28.779146    8026500    28.779146
## 2007-01-03 29.240434 29.343782 28.796786 29.023651   38546100    29.023651
## 2007-01-04 28.799311 28.806875 28.441370 28.622860   26830200    28.622860
## 2007-01-05 28.332983 28.396000 27.783466 27.785984   33141600    27.785984
## 2007-01-08 27.949821 28.090983 27.793537 27.987631   23326500    27.987631
## 2007-01-09 27.778412 27.816222 27.211248 27.362492   43958400    27.362492
## 2007-01-10 27.075130 27.415428 26.875993 27.299473   58526400    27.299473
## 2007-01-11 27.460800 28.017881 27.367533 27.644814   47418300    27.644814
## 2007-01-12 27.846475 28.206938 27.702792 28.206938   25530900    28.206938
## 2007-01-16 28.320378 28.345585 28.128802 28.307774   25978500    28.307774
## 2007-01-17 28.232147 28.353142 28.078384 28.189297   20523900    28.189297
## 2007-01-18 28.433799 28.459006 27.891842 27.891842   31396500    27.891842
## 2007-01-19 27.992680 28.393475 27.992680 28.393475   18093900    28.393475
## 2007-01-22 28.433805 28.617820 28.269958 28.360706   20959200    28.360706
## 2007-01-23 28.358175 29.006002 28.322886 29.006002   28305600    29.006002
## 2007-01-24 28.985851 29.366478 28.917791 29.258087   20193900    29.258087
## 2007-01-25 29.071555 29.114407 28.358189 28.358189   28913700    28.358189
## 2007-01-26 28.484225 28.605220 28.169133 28.532118   27627600    28.532118
## 2007-01-29 28.388425 28.408590 28.090979 28.153997   29898300    28.153997
## 2007-01-30 28.247269 28.590088 28.247269 28.590088   20502600    28.590088
## 2007-01-31 28.330460 28.811918 28.171655 28.811918   31860600    28.811918
## 2007-02-01 28.937949 29.190020 28.937949 29.164814   34173900    29.164814
## 2007-02-02 29.177420 29.235398 28.988366 29.076593   20925300    29.076593
## 2007-02-05 28.990879 29.134562 28.862323 29.104313   16254900    29.104313
## 2007-02-06 29.318577 29.452176 29.190019 29.391680   17354700    29.391680
## 2007-02-07 29.462258 29.482426 29.192541 29.278246   16291500    29.278246
## 2007-02-08 29.119444 29.278249 28.983325 29.121962   19789500    29.121962
## 2007-02-09 29.240441 29.305980 28.736295 28.774105   31971900    28.774105
## 2007-02-12 28.824518 28.824518 28.436324 28.577486   27900000    28.577486
## 2007-02-13 28.723687 29.089192 28.703522 29.031214   30303300    29.031214
## 2007-02-14 29.063990 29.714336 29.051387 29.656361   37476600    29.656361
## 2007-02-15 29.681557 29.757177 29.585769 29.673996   14388000    29.673996
## 2007-02-16 29.558052 29.742067 29.464785 29.742067   14832300    29.742067
## 2007-02-20 29.517716 29.870618 29.500070 29.820204   15368400    29.820204
## 2007-02-21 29.638704 29.966399 29.525270 29.908421   14292600    29.908421
## 2007-02-22 30.042016 30.142847 29.767260 29.832798   23298600    29.832798
## 2007-02-23 29.805080 29.908429 29.416889 29.618547   27175200    29.618547
## 2007-02-26 29.754664 29.802557 29.384117 29.605942   14965800    29.605942
## 2007-02-27 28.484220 28.519509 26.087006 27.198648   89951400    27.198648
## 2007-02-28 27.601968 28.186778 27.387707 27.879250   63694500    27.879250
## 2007-03-01 26.989422 27.765807 26.603751 27.478443   58851900    27.478443
## 2007-03-02 27.236451 27.821261 27.110414 27.223848   59927700    27.223848
## 2007-03-05 26.606273 27.123023 26.104648 26.525610   54968400    26.525610
## 2007-03-06 26.976822 27.755729 26.976822 27.690191   49910400    27.690191
## 2007-03-07 27.488526 27.738080 27.365013 27.521297   31768200    27.521297
## 2007-03-08 28.005280 28.595130 27.917056 28.232145   36276000    28.232145
## 2007-03-09 28.431284 28.433803 27.949824 28.282562   26060700    28.282562
## 2007-03-12 28.307765 28.625376 28.222060 28.421196   25128600    28.421196
## 2007-03-13 28.166607 28.355662 27.445678 27.594404   44023200    27.594404
## 2007-03-14 27.564154 27.874203 27.052447 27.821268   49965900    27.821268
## 2007-03-15 27.627178 28.234673 27.627178 28.048140   30401100    28.048140
## 2007-03-16 28.116189 28.242227 27.702788 27.808662   22194900    27.808662
## 2007-03-19 28.181732 28.459010 28.126276 28.418682   24143400    28.418682
## 2007-03-20 28.373305 28.635462 28.287600 28.605213   15362400    28.605213
## 2007-03-21 28.703521 29.575691 28.605212 29.462257   42041700    29.462257
## 2007-03-22 29.525275 29.651312 29.270685 29.336220   21576300    29.336220
## 2007-03-23 29.432007 29.553005 29.336219 29.472338   16886100    29.472338
## 2007-03-26 29.432015 29.542928 29.038785 29.454704   22027500    29.454704
## 2007-03-27 29.454697 29.454697 29.081630 29.323620   18514500    29.323620
## 2007-03-28 28.968191 29.114393 28.683349 28.799301   22615800    28.799301
## 2007-03-29 29.240436 29.439573 28.963154 29.371513   23175900    29.371513
## 2007-03-30 29.416889 29.542923 29.076590 29.366472   28557900    29.366472
## 2007-04-02 29.454697 29.658875 29.295892 29.568127   18873300    29.568127
## 2007-04-03 29.870615 30.087398 29.759703 30.052109   24303000    30.052109
## 2007-04-04 30.157974 30.268887 30.031937 30.241159   20481300    30.241159
## 2007-04-05 30.198306 30.425172 30.122683 30.268888   20437800    30.268888
## 2007-04-09 30.460476 30.692384 30.377292 30.442833   21373500    30.442833
## 2007-04-10 30.462994 30.626841 30.445347 30.586510   15370500    30.586510
## 2007-04-11 30.712541 30.815889 30.223518 30.304182   28048500    30.304182
## 2007-04-12 30.349556 30.831017 30.218479 30.810850   23445900    30.810850
## 2007-04-13 30.878906 30.997383 30.500797 30.962091   11782200    30.962091
## 2007-04-16 31.143593 31.355333 31.083094 31.330126   20166600    31.330126
## 2007-04-17 31.297344 31.297344 30.946963 31.161228   26238600    31.161228
## 2007-04-18 30.878902 31.050313 30.810842 30.929319   16978800    30.929319
## 2007-04-19 30.427701 30.717583 30.188230 30.679773   30470700    30.679773
## 2007-04-20 31.103247 31.244406 30.906629 31.045269   15983100    31.045269
## 2007-04-23 31.032674 31.123419 30.851180 30.921761   14394900    30.921761
## 2007-04-24 30.916714 31.012502 30.755388 30.916714   18733200    30.916714
## 2007-04-25 31.120898 31.330119 30.954532 31.299870   17789700    31.299870
## 2007-04-26 31.259528 31.345234 31.070473 31.216675   20426100    31.216675
## 2007-04-27 30.919236 31.090647 30.785638 31.060398   24456300    31.060398
## 2007-04-30 30.863786 30.952013 30.339475 30.460470   27583800    30.460470
## 2007-05-01 30.561298 30.697418 30.324348 30.581463   28771800    30.581463
## 2007-05-02 30.725149 31.221732 30.689857 31.188961   26205600    31.188961
## 2007-05-03 31.292304 31.504044 31.166267 31.451109   15720900    31.451109
## 2007-05-04 31.536811 31.748551 31.398170 31.441023   15575700    31.441023
## 2007-05-07 31.534302 31.758645 31.534302 31.645214   10084800    31.645214
## 2007-05-08 31.488926 31.488926 31.110817 31.234333   27634200    31.234333
## 2007-05-09 31.307432 31.793929 31.272140 31.738476   22212600    31.738476
## 2007-05-10 31.569586 31.738476 30.891509 30.962091   36275100    30.962091
## 2007-05-11 31.130978 31.874593 31.130978 31.748556   21416100    31.748556
## 2007-05-14 31.688055 32.013229 31.272136 31.433462   28344000    31.433462
## 2007-05-15 31.441030 31.766203 31.264578 31.471279   27392700    31.471279
## 2007-05-16 31.655291 32.010715 31.410780 31.927530   18247200    31.927530
## 2007-05-17 31.763682 31.937612 31.536818 31.811575   17952600    31.811575
## 2007-05-18 31.894762 32.005675 31.738479 31.975426   16459500    31.975426
## 2007-05-21 31.947699 32.212377 31.919971 32.033405   33299100    32.033405
## 2007-05-22 32.096431 32.194740 32.028371 32.038456   23904900    32.038456
## 2007-05-23 32.265313 32.366140 31.771248 31.988031   41565600    31.988031
## 2007-05-24 31.937606 32.038436 31.075517 31.219198   52781700    31.219198
## 2007-05-25 31.562030 31.761166 31.473802 31.698149   20317500    31.698149
## 2007-05-29 31.824175 31.912403 31.257012 31.589750   20445900    31.589750
## 2007-05-30 31.004943 31.912405 30.959569 31.912405   35050500    31.912405
## 2007-05-31 31.935095 32.139274 31.816622 32.003155   23850900    32.003155
## 2007-06-01 32.202297 32.802231 32.202297 32.802231   24035700    32.802231
## 2007-06-04 32.519914 32.766946 32.454375 32.656033   26454900    32.656033
## 2007-06-05 32.527466 32.623254 32.282956 32.542591   27272400    32.542591
## 2007-06-06 32.315723 32.315723 31.723352 31.723352   40848900    31.723352
## 2007-06-07 31.758644 31.998113 31.065446 31.234333   66178500    31.234333
## 2007-06-08 31.320038 31.912408 31.289788 31.786371   42430200    31.786371
## 2007-06-11 31.809052 32.252703 31.680496 32.058605   22266000    32.058605
## 2007-06-12 31.703192 31.967870 31.395663 31.501534   31146300    31.501534
## 2007-06-13 31.730923 32.250194 31.723362 32.131721   31558200    32.131721
## 2007-06-14 32.257748 32.822390 32.257748 32.635857   22374900    32.635857
## 2007-06-15 33.021526 33.379467 33.021526 33.379467   45032700    33.379467
## 2007-06-18 33.439959 33.563473 33.260988 33.409710   14039100    33.409710
## 2007-06-19 33.205543 33.588695 33.182857 33.447533   20064600    33.447533
## 2007-06-20 33.699592 33.760090 33.021519 33.162678   31779600    33.162678
## 2007-06-21 33.210582 33.644148 33.094627 33.576088   26637900    33.576088
## 2007-06-22 33.324015 33.540798 32.971112 33.132439   22471500    33.132439
## 2007-06-25 33.109749 33.243347 32.683747 32.880363   29348400    32.880363
## 2007-06-26 33.006403 33.082024 32.593002 32.593002   29622000    32.593002
## 2007-06-27 32.492181 33.074470 32.315731 33.056824   31400400    33.056824
## 2007-06-28 32.845072 33.273595 32.845072 33.064373   22270200    33.064373
## 2007-06-29 33.203022 33.399640 32.827434 33.180336   39395100    33.180336
## 2007-07-02 33.273600 33.853367 33.273600 33.853367   30585300    33.853367
## 2007-07-03 33.903781 34.123085 33.903781 34.123085   13577400    34.123085
## 2007-07-05 33.931510 34.317183 33.931510 34.274330   25942800    34.274330
## 2007-07-06 34.465897 35.002811 34.463376 34.861649   31670700    34.861649
## 2007-07-09 35.108699 35.315400 35.088535 35.199444   28652100    35.199444
## 2007-07-10 34.821322 34.942320 34.438173 34.506233   40039500    34.506233
## 2007-07-11 34.690254 34.901994 34.407932 34.791084   25900200    34.791084
## 2007-07-12 35.015420 35.703578 35.015420 35.554855   29064900    35.554855
## 2007-07-13 35.789282 36.021186 35.665766 35.995979   24262800    35.995979
## 2007-07-16 35.716177 35.844735 35.474187 35.643074   23917200    35.643074
## 2007-07-17 35.716188 35.743916 35.446470 35.615360   21789600    35.615360
## 2007-07-18 35.166669 35.426304 34.891908 35.179272   34859700    35.179272
## 2007-07-19 35.418735 35.774158 35.416214 35.529648   24539100    35.529648
## 2007-07-20 35.706103 35.832137 35.088526 35.285141   48010800    35.285141
## 2007-07-23 36.011118 36.323688 35.892644 36.306042   35516700    36.306042
## 2007-07-24 36.046403 36.119502 34.990217 35.063320   53650200    35.063320
## 2007-07-25 35.595186 35.794322 34.836447 35.264969   45873600    35.264969
## 2007-07-26 34.541518 34.574289 32.711472 33.467690   99222600    33.467690
## 2007-07-27 33.654233 33.888659 32.845079 33.034134   64008900    33.034134
## 2007-07-30 33.399633 34.400362 33.399633 34.115520   50423400    34.115520
## 2007-07-31 34.576807 34.695284 33.417274 33.417274   63243600    33.417274
## 2007-08-01 33.001363 33.583651 32.630818 33.286205  106336500    33.286205
## 2007-08-02 33.324008 33.853360 33.233262 33.654224   46615800    33.654224
## 2007-08-03 33.626505 33.651712 31.952742 32.202293   64852500    32.202293
## 2007-08-06 32.570312 32.998834 31.899799 32.777012   72395400    32.777012
## 2007-08-07 32.645935 33.376946 32.502255 33.021526   54839100    33.021526
## 2007-08-08 33.687002 34.400371 33.649192 34.130650   50678700    34.130650
## 2007-08-09 33.087078 33.475269 32.482104 32.719051   78721500    32.719051
## 2007-08-10 32.030888 33.036659 31.733441 32.151882   82478700    32.151882
## 2007-08-13 32.908091 33.112271 32.449319 32.469486   39933300    32.469486
## 2007-08-14 32.640902 32.706441 31.509096 31.630091   50445600    31.630091
## 2007-08-15 31.284737 31.617475 30.261323 30.387360   77352600    30.387360
## 2007-08-16 29.782398 30.170592 28.083428 29.870625  140054700    29.870625
## 2007-08-17 31.004942 31.982982 29.905903 30.815887   99855300    30.815887
## 2007-08-20 31.158719 31.274672 30.342002 30.878916   64116300    30.878916
## 2007-08-21 30.722629 31.130988 30.510889 30.765482   43294500    30.765482
## 2007-08-22 31.282231 32.164484 31.282231 32.088863   57893700    32.088863
## 2007-08-23 32.388824 32.512337 31.804014 32.252705   46373700    32.252705
## 2007-08-24 32.262787 33.092104 32.164478 33.021526   52962000    33.021526
## 2007-08-27 32.988753 33.727325 32.887926 33.172768   28239300    33.172768
## 2007-08-28 32.779539 32.898012 31.667897 31.824181   56966400    31.824181
## 2007-08-29 32.414033 33.245871 32.277913 33.084545   42499800    33.084545
## 2007-08-30 32.719053 33.379483 32.567809 32.915672   29959500    32.915672
## 2007-08-31 33.777744 34.332305 33.523151 33.765141   53820900    33.765141
## 2007-09-04 33.437449 34.579337 33.437449 34.334827   33802200    34.334827
## 2007-09-05 34.044942 34.044942 33.467696 33.815556   38522400    33.815556
## 2007-09-06 34.007135 34.249125 33.755060 34.080235   20809800    34.080235
## 2007-09-07 33.457607 33.596247 33.034126 33.311405   48953400    33.311405
## 2007-09-10 33.777742 33.792867 32.834988 33.336613   32317200    33.336613
## 2007-09-11 33.729837 34.143238 33.686984 34.009636   32632200    34.009636
## 2007-09-12 33.835726 34.279376 33.664317 34.130650   29448900    34.130650
## 2007-09-13 34.360031 34.758304 34.254158 34.508751   22941300    34.508751
## 2007-09-14 34.344905 34.690243 34.173494 34.576809   17142600    34.576809
## 2007-09-17 34.312139 34.428095 33.959237 34.357513   22866300    34.357513
## 2007-09-18 34.458352 36.084222 34.307110 36.021202   68338200    36.021202
## 2007-09-19 36.122019 36.772367 36.066563 36.185036   63006000    36.185036
## 2007-09-20 36.275781 36.507689 35.857340 36.071602   34842000    36.071602
## 2007-09-21 36.492566 36.661454 36.429546 36.550541   30381000    36.550541
## 2007-09-24 37.306766 37.306766 36.802622 37.004280   31511400    37.004280
## 2007-09-25 36.701795 37.016887 36.467366 36.865643   28052400    36.865643
## 2007-09-26 37.357178 37.470608 37.087457 37.357178   27536400    37.357178
## 2007-09-27 37.934421 38.315051 37.541187 37.911732   32771700    37.911732
## 2007-09-28 37.999963 38.110875 37.400032 37.672268   40628400    37.672268
## 2007-10-01 38.030214 39.013297 37.853763 38.857010   38391000    38.857010
## 2007-10-02 39.225038 39.572900 38.736015 39.121689   40943400    39.121689
## 2007-10-03 39.005724 39.136800 37.936935 37.936935   49248300    37.936935
## 2007-10-04 38.088187 38.433526 37.667225 38.315052   23239800    38.315052
## 2007-10-05 38.730960 39.769499 38.693149 39.593048   64093800    39.593048
## 2007-10-08 39.068755 39.285538 38.897346 39.172104   32786100    39.172104
## 2007-10-09 39.459459 39.812361 39.298132 39.782112   30145200    39.782112
## 2007-10-10 39.658594 39.971165 39.439290 39.835045   36825900    39.835045
## 2007-10-11 40.336682 40.533297 38.783914 39.484676   71038800    39.484676
## 2007-10-12 39.668683 40.205597 39.540124 40.205597   27468300    40.205597
## 2007-10-15 40.273665 40.369450 39.199834 39.714062   40017900    39.714062
## 2007-10-16 39.446854 39.467019 38.705761 38.977997   60320100    38.977997
## 2007-10-17 39.877895 40.056867 39.096470 39.877895   67459200    39.877895
## 2007-10-18 39.197315 40.167798 39.141859 40.079571   55143300    40.079571
## 2007-10-19 39.729180 39.822447 38.035250 38.365467   82591500    38.365467
## 2007-10-22 37.987355 38.645264 37.556311 38.642742   60902100    38.642742
## 2007-10-23 39.136816 39.862785 38.947762 39.714062   55527300    39.714062
## 2007-10-24 39.351081 39.582989 38.178944 39.454430   49925100    39.454430
## 2007-10-25 39.976215 40.066960 39.260328 39.956047   43169400    39.956047
## 2007-10-26 40.848383 41.266825 40.457671 41.087852   44119500    41.087852
## 2007-10-29 41.768459 42.033134 41.546634 42.033134   38281200    42.033134
## 2007-10-30 41.415556 41.516387 41.100464 41.239105   36921900    41.239105
## 2007-10-31 41.594529 42.217149 41.087861 42.144047   63320400    42.144047
## 2007-11-01 40.976938 41.256738 40.298862 40.442543   56598300    40.442543
## 2007-11-02 40.709750 41.070216 39.943450 40.671940   59190000    40.671940
## 2007-11-05 39.600621 39.799758 38.977998 39.257801   43943400    39.257801
## 2007-11-06 40.402217 40.903842 39.830011 40.747555   40065300    40.747555
## 2007-11-07 40.150141 40.498000 39.252761 39.449379   46819800    39.449379
## 2007-11-08 39.630872 40.054355 38.287326 39.651039   83404200    39.651039
## 2007-11-09 38.935152 39.474587 38.418401 38.718369   52806000    38.718369
## 2007-11-12 38.176412 38.413359 36.555584 36.575752   69956100    36.575752
## 2007-11-13 38.037765 39.303169 37.878960 39.159489   74957100    39.159489
## 2007-11-14 39.905625 40.155176 38.914979 39.197300   47813100    39.197300
## 2007-11-15 38.748632 39.151949 37.909229 38.294899   55260300    38.294899
## 2007-11-16 38.425961 38.839362 37.848714 38.768780   60026400    38.768780
## 2007-11-19 38.040300 38.115921 36.651380 36.981594   52244700    36.981594
## 2007-11-20 37.430292 38.362962 37.049662 37.997456   83208600    37.997456
## 2007-11-21 36.729512 36.875713 35.849778 36.084206   77409000    36.084206
## 2007-11-23 36.739602 37.609255 36.739602 37.150482   24243900    37.150482
## 2007-11-26 37.311802 37.674787 35.675850 35.675850   72462000    35.675850
## 2007-11-27 36.235448 37.203406 36.028747 37.042080   75099600    37.042080
## 2007-11-28 37.450453 39.071281 37.432807 39.071281  100931400    39.071281
## 2007-11-29 38.604926 39.134279 38.310002 38.592323   62430600    38.592323
## 2007-11-30 39.645994 39.751864 38.609976 38.920025   64310400    38.920025
## 2007-12-03 38.846932 39.056153 38.491511 38.582256   41652600    38.582256
## 2007-12-04 38.418402 38.942713 38.367989 38.481419   32139000    38.481419
## 2007-12-05 39.398965 40.192997 39.398965 40.190475   46454100    40.190475
## 2007-12-06 39.978735 40.873590 39.827490 40.823177   49785000    40.823177
## 2007-12-07 40.634124 40.684537 40.147623 40.339199   47259900    40.339199
## 2007-12-10 40.331639 40.515655 40.152670 40.351807   30087600    40.351807
## 2007-12-11 40.528248 40.639161 38.491501 38.642742   67515900    38.642742
## 2007-12-12 40.407257 40.745034 38.935153 39.802280   72613200    39.802280
## 2007-12-13 38.693166 39.015818 38.176416 38.708290   75751200    38.708290
## 2007-12-14 37.911732 38.408318 37.763012 37.785698   52611000    37.785698
## 2007-12-17 37.145425 37.208446 36.157300 36.174946   62022000    36.174946
## 2007-12-18 37.319359 37.347087 36.230406 37.168118   69887400    37.168118
## 2007-12-19 37.301727 37.639505 37.057216 37.410118   56490000    37.410118
## 2007-12-20 37.589078 37.705030 37.120221 37.614285   45520800    37.614285
## 2007-12-21 38.163805 38.748615 38.088185 38.748615   56436300    38.748615
## 2007-12-24 38.824434 39.409087 38.775926 39.403980   18304800    39.403980
## 2007-12-26 39.100171 39.695036 39.023580 39.608231   23497500    39.608231
## 2007-12-27 39.250804 39.324844 38.599774 38.694237   30705600    38.694237
## 2007-12-28 39.089961 39.199743 38.548713 38.839760   37557000    38.839760
## 2007-12-31 38.946990 39.033796 38.298514 38.372551   26840400    38.372551
## 2008-01-02 38.632950 38.872939 37.507051 37.739380   68029800    37.739380
## 2008-01-03 38.193838 38.339362 37.902788 38.078949   47760300    38.078949
## 2008-01-04 37.729184 37.798117 36.577755 36.935181   83071200    36.935181
## 2008-01-07 37.241537 37.478972 36.618590 37.205795   54090900    37.205795
## 2008-01-08 37.637267 38.032993 36.817735 36.917305   88767900    36.917305
## 2008-01-09 37.456008 38.127464 36.917313 38.127464   85492200    38.127464
## 2008-01-10 37.509621 38.793815 37.330909 38.576805   84510900    38.576805
## 2008-01-11 37.759815 38.206600 37.272181 37.491745   78241200    37.491745
## 2008-01-14 38.050862 38.232130 37.708752 38.043201   70594500    38.043201
## 2008-01-15 37.300262 37.445785 36.202444 36.322437   90633900    36.322437
## 2008-01-16 35.781199 35.936934 34.257018 34.811035  141276600    34.811035
## 2008-01-17 35.359938 35.610136 33.646831 33.797462  133308000    33.797462
## 2008-01-18 34.839125 35.043369 33.743859 34.568497  119655300    34.568497
## 2008-01-22 32.406040 34.491893 32.040950 33.700443  153342900    33.700443
## 2008-01-23 32.199241 34.029787 31.155036 33.914898  173383800    33.914898
## 2008-01-24 33.853624 34.808469 33.782137 34.573586   93140700    34.573586
## 2008-01-25 35.227174 35.441634 33.907241 34.047661   65709300    34.047661
## 2008-01-28 33.981278 34.890167 32.423907 34.890167   61924200    34.890167
## 2008-01-29 34.803365 34.877405 34.231479 34.719116   42873000    34.719116
## 2008-01-30 34.198293 35.508014 33.991494 34.262119   90782400    34.262119
## 2008-01-31 33.608539 35.181227 33.473227 34.948898   91635900    34.948898
## 2008-02-01 35.130160 35.765871 34.976976 35.645878   66237600    35.645878
## 2008-02-04 35.906296 35.998206 35.543760 35.755665   47431800    35.755665
## 2008-02-05 34.964213 35.040804 33.496201 33.830650   81961200    33.830650
## 2008-02-06 34.083398 34.494441 33.166848 33.276630   94311600    33.276630
## 2008-02-07 33.164307 34.167663 32.834961 33.840870   81689400    33.840870
## 2008-02-08 33.419598 34.014463 33.299604 33.777027   64338300    33.777027
## 2008-02-11 33.654493 34.208510 33.258768 34.195744   62668500    34.195744
## 2008-02-12 34.532732 35.336947 34.451035 34.747192   95163900    34.747192
## 2008-02-13 35.117388 35.630555 34.721663 35.528431   80838300    35.528431
## 2008-02-14 35.847580 35.957362 35.038258 35.071449   77572200    35.071449
## 2008-02-15 35.183785 35.344627 34.767634 35.321651   40972800    35.321651
## 2008-02-19 36.248407 36.281595 35.571844 35.783749   60714600    35.783749
## 2008-02-20 35.219519 36.217767 35.056122 36.082455   67324200    36.082455
## 2008-02-21 36.317339 36.396483 35.446742 35.576950   47179200    35.576950
## 2008-02-22 35.939482 36.113092 35.140374 36.054371   58150800    36.054371
## 2008-02-25 35.985433 36.774328 35.725020 36.725822   62952600    36.725822
## 2008-02-26 36.452645 37.351322 36.327544 37.210903   62865300    37.210903
## 2008-02-27 36.930077 37.747057 36.843273 37.524940   59912700    37.524940
## 2008-02-28 37.136863 37.435571 36.935168 37.121544   52139100    37.121544
## 2008-02-29 36.713058 36.725824 35.582052 35.645878   69116400    35.645878
## 2008-03-03 35.648440 36.085017 35.232292 35.839920   85376100    35.839920
## 2008-03-04 35.239939 35.569286 34.354028 35.007614   95442600    35.007614
## 2008-03-05 35.416101 35.896078 35.163347 35.742893   63579300    35.742893
## 2008-03-06 35.538650 35.653535 34.474019 34.517422   57511500    34.517422
## 2008-03-07 34.195730 34.856972 33.815325 34.039993   70810500    34.039993
## 2008-03-10 34.282541 34.282541 33.118347 33.442585   70676700    33.442585
## 2008-03-11 34.864635 35.717356 34.300408 35.691826  100189800    35.691826
## 2008-03-12 35.308871 35.742895 34.931020 35.030590   59353200    35.030590
## 2008-03-13 34.034903 35.061236 33.764276 34.711464   85102500    34.711464
## 2008-03-14 34.698697 34.785502 33.215368 33.480885   94845000    33.480885
## 2008-03-17 32.234982 32.939629 31.877553 32.653683  104934000    32.653683
## 2008-03-18 33.330247 34.412746 33.256207 34.351471   82055700    34.351471
## 2008-03-19 33.968504 34.185514 32.245186 32.288589   98289000    32.288589
## 2008-03-20 32.263074 32.921765 31.857137 32.832409   83455200    32.832409
## 2008-03-24 33.286850 34.348926 33.115796 34.091064   63315000    34.091064
## 2008-03-25 34.124249 34.673158 34.121695 34.614437   49837200    34.614437
## 2008-03-26 34.438277 34.486788 34.004257 34.333603   46039800    34.333603
## 2008-03-27 34.668055 34.688481 34.116592 34.167656   45650100    34.167656
## 2008-03-28 34.468913 34.530185 33.978726 34.106377   42123300    34.106377
## 2008-03-31 34.172762 34.343816 34.004258 34.308071   51357900    34.308071
## 2008-04-01 34.693585 35.653538 34.614441 35.625454   59322000    35.625454
## 2008-04-02 35.625460 35.916510 35.232289 35.650990   48963000    35.650990
## 2008-04-03 35.525883 36.314782 35.423762 36.085007   49385100    36.085007
## 2008-04-04 35.901177 36.414341 35.673955 35.939472   48387300    35.939472
## 2008-04-07 36.567532 36.904538 36.194787 36.416901   48936600    36.416901
## 2008-04-08 36.113099 36.404146 35.967572 36.217773   37712100    36.217773
## 2008-04-09 36.095223 36.222874 35.502912 35.653542   38654100    35.653542
## 2008-04-10 35.919052 36.319881 35.597364 36.164146   38757600    36.164146
## 2008-04-11 35.801619 35.995653 35.405894 35.574398   45471000    35.574398
## 2008-04-14 35.428867 35.788847 35.234834 35.490139   43521300    35.490139
## 2008-04-15 35.885874 35.980337 35.576955 35.906300   34587600    35.906300
## 2008-04-16 36.335209 37.172614 36.330104 36.968369   52355400    36.968369
## 2008-04-17 36.616046 36.858587 36.419459 36.700298   35445900    36.700298
## 2008-04-18 37.208358 37.453452 36.922415 37.254311   43182300    37.254311
## 2008-04-21 37.078146 37.496850 36.253506 37.443233   39228000    37.443233
## 2008-04-22 37.318130 37.379405 36.820285 37.096016   45971400    37.096016
## 2008-04-23 37.484086 37.652589 37.172613 37.629612   38048400    37.629612
## 2008-04-24 37.507062 37.644928 36.845818 37.147079   38298300    37.147079
## 2008-04-25 37.453445 37.486633 36.879006 37.420254   36429900    37.420254
## 2008-04-28 37.542803 37.642374 37.284944 37.348770   28076100    37.348770
## 2008-04-29 37.249202 37.249202 36.651786 36.687531   43114200    36.687531
## 2008-04-30 36.917304 37.560676 36.810075 37.443233   56735100    37.443233
## 2008-05-01 37.427932 37.918119 37.208368 37.841526   36340500    37.841526
## 2008-05-02 38.316396 38.364902 37.913010 38.204060   36100200    38.204060
## 2008-05-05 38.168300 38.341910 37.969163 38.175961   22732500    38.175961
## 2008-05-06 38.038101 38.691684 37.861939 38.602329   36007500    38.602329
## 2008-05-07 38.290851 38.385318 37.379408 37.453449   52249200    37.453449
## 2008-05-08 37.639821 37.987039 37.560677 37.838959   34318500    37.838959
## 2008-05-09 37.496857 37.655146 37.305377 37.530045   33387000    37.530045
## 2008-05-12 37.586207 38.027888 37.310475 38.012569   31889100    38.012569
## 2008-05-13 38.104481 38.272984 37.849176 38.193840   24984000    38.193840
## 2008-05-14 38.487435 38.671257 38.211703 38.285744   27882000    38.285744
## 2008-05-15 38.510408 39.123146 38.395522 39.100166   41979600    39.100166
## 2008-05-16 39.304422 39.623556 39.161452 39.598026   30127200    39.598026
## 2008-05-19 39.613340 40.200545 39.518877 39.605679   45427200    39.605679
## 2008-05-20 39.046561 39.061880 38.696793 38.918907   44971500    38.918907
## 2008-05-21 39.084853 39.360583 38.387866 38.523178   47546700    38.523178
## 2008-05-22 38.727419 38.788693 38.382757 38.635509   26301300    38.635509
## 2008-05-23 38.301062 38.385313 37.798105 37.961502   31783500    37.961502
## 2008-05-27 37.841506 37.999797 37.514714 37.900227   35205600    37.900227
## 2008-05-28 38.017676 38.410851 37.670461 38.410851   31076400    38.410851
## 2008-05-29 38.446596 38.934230 38.278092 38.495102   36030300    38.495102
## 2008-05-30 38.722335 38.939345 38.576812 38.627872   29933400    38.627872
## 2008-06-02 38.597228 38.597228 37.928325 38.168312   39888600    38.168312
## 2008-06-03 38.181072 38.239793 37.328351 37.478981   44795100    37.478981
## 2008-06-04 37.272193 37.611750 37.083266 37.152199   46607100    37.152199
## 2008-06-05 37.473877 38.334259 37.364095 38.334259   36879600    38.334259
## 2008-06-06 37.798110 37.874704 36.945389 36.945389   48717600    36.945389
## 2008-06-09 37.073039 37.226224 36.406690 36.850925   49329300    36.850925
## 2008-06-10 36.299463 36.317335 35.926715 36.000755   67029600    36.000755
## 2008-06-11 36.125853 36.220316 35.436525 35.462055   72144300    35.462055
## 2008-06-12 35.730133 36.192237 35.505462 35.668858   59169900    35.668858
## 2008-06-13 35.691834 36.174364 35.500354 36.054371   42621000    36.054371
## 2008-06-16 36.023744 36.309687 35.934388 36.176929   34441200    36.176929
## 2008-06-17 36.557319 36.656889 36.304567 36.330097   38012100    36.330097
## 2008-06-18 36.271371 36.429660 35.793948 36.153931   48612300    36.153931
## 2008-06-19 35.985443 36.325000 35.855235 36.210114   52999500    36.210114
## 2008-06-20 35.625445 35.709697 34.959097 35.028030   94397400    35.028030
## 2008-06-23 35.168449 35.285889 34.979520 35.130154   50194200    35.130154
## 2008-06-24 34.941231 35.372700 34.652734 34.974422   55306800    34.974422
## 2008-06-25 35.212522 35.969140 35.212522 35.674755   64861200    35.674755
## 2008-06-26 35.093733 35.189279 34.422331 34.450737   69863700    34.450737
## 2008-06-27 34.610823 34.956854 34.422314 34.783840   54488400    34.783840
## 2008-06-30 35.029178 35.166041 34.832922 35.047256   52705800    35.047256
## 2008-07-01 34.254470 34.559184 33.781905 34.422321   88602600    34.422321
## 2008-07-02 34.579852 34.685730 33.358416 33.441051   77359500    33.441051
## 2008-07-03 33.779324 33.779324 33.033033 33.345493   51487800    33.345493
## 2008-07-07 33.621804 33.972998 32.924576 33.226707   84791100    33.226707
## 2008-07-08 33.172480 33.660539 32.741231 33.634716   91546200    33.634716
## 2008-07-09 33.776741 34.050470 32.867766 32.955566   89474400    32.955566
## 2008-07-10 33.361000 33.717363 32.999478 33.552094   82659300    33.552094
## 2008-07-11 33.291273 33.815487 32.989142 33.327427   74596200    33.327427
## 2008-07-14 33.792244 33.967843 32.330652 33.286110   48638400    33.286110
## 2008-07-15 32.774800 33.322250 32.167956 32.730900  108376500    32.730900
## 2008-07-16 32.728324 33.763834 32.555311 33.676037   72721800    33.676037
## 2008-07-17 33.861959 34.143433 33.588234 33.833553   88662300    33.833553
## 2008-07-18 33.552083 33.836137 33.422966 33.541752   50926800    33.541752
## 2008-07-21 33.748348 34.060810 33.694119 33.957516   42357300    33.957516
## 2008-07-22 33.539171 33.983334 33.322257 33.978168   47977800    33.978168
## 2008-07-23 34.148597 34.360345 33.908439 34.027225  142368000    34.027225
## 2008-07-24 33.823229 34.086626 32.211863 32.769642   33791200    32.769642
## 2008-07-25 33.040772 33.118240 32.723147 32.994289   26549400    32.994289
## 2008-07-28 33.033039 33.110511 32.343560 32.436523   22918200    32.436523
## 2008-07-29 32.529479 34.233807 32.351295 34.233807   28970800    34.233807
## 2008-07-30 33.676033 34.396501 32.552723 33.877453   38187600    33.877453
## 2008-07-31 33.187971 33.846461 33.040780 33.118248   65916000    33.118248
## 2008-08-01 33.466857 33.466857 32.661173 32.893581   36367800    32.893581
## 2008-08-04 32.498508 32.599219 31.731557 31.886497   55599400    31.886497
## 2008-08-05 31.917477 32.374548 31.770283 32.297077   42552600    32.297077
## 2008-08-06 32.227357 32.940079 32.188623 32.940079   34367700    32.940079
## 2008-08-07 32.320312 32.382286 31.716048 31.809013   38381200    31.809013
## 2008-08-08 31.429426 31.987208 31.305475 31.886497   51194100    31.886497
## 2008-08-11 31.692807 31.870987 31.437159 31.553362   43444700    31.553362
## 2008-08-12 31.313208 31.537871 30.980092 31.289968   39537600    31.289968
## 2008-08-13 31.018824 31.390678 30.708944 31.282221   52150600    31.282221
## 2008-08-14 31.266719 31.816752 31.258970 31.692801   34218600    31.692801
## 2008-08-15 31.561117 31.723802 31.142780 31.197008   37679300    31.197008
## 2008-08-18 31.336455 31.375189 30.414565 30.670216   34649700    30.670216
## 2008-08-19 30.313849 30.515268 30.003970 30.414557   58501700    30.414557
## 2008-08-20 30.825150 31.212498 30.724439 31.189255   39617100    31.189255
## 2008-08-21 30.786425 31.328710 30.732193 31.142784   26882500    31.142784
## 2008-08-22 31.328697 31.344191 30.732180 31.119528   19299700    31.119528
## 2008-08-25 31.018822 31.065301 30.453294 30.476534   30942400    30.476534
## 2008-08-26 30.569507 30.724447 30.368088 30.530773   25493200    30.530773
## 2008-08-27 30.786418 31.258979 30.701200 31.181511   31425700    31.181511
## 2008-08-28 31.243489 31.460403 31.166018 31.398426   29213700    31.398426
## 2008-08-29 31.336442 31.359682 30.871622 31.026562   26262300    31.026562
## 2008-09-02 30.499779 30.763176 30.027214 30.089191   43801700    30.089191
## 2008-09-03 30.027215 30.027215 29.368725 29.593388   58412400    29.593388
## 2008-09-04 29.260270 29.368727 28.198937 28.229923   70453100    28.229923
## 2008-09-05 28.206677 28.686988 27.850318 28.632759   58892600    28.632759
## 2008-09-08 29.887774 30.019471 28.563042 28.989124   64826300    28.989124
## 2008-09-09 28.431338 28.570783 26.920680 27.362257   71020700    27.362257
## 2008-09-10 27.834826 28.051740 27.292538 27.803837   74811000    27.803837
## 2008-09-11 26.858707 27.462973 26.610805 27.393250  103649900    27.393250
## 2008-09-12 27.308028 28.656000 27.145342 28.307386   83241400    28.307386
## 2008-09-15 26.610800 27.315773 25.991044 26.084007  108168400    26.084007
## 2008-09-16 24.937458 26.533333 24.751533 26.308670  115788300    26.308670
## 2008-09-17 25.472001 25.750892 24.309956 24.441654  153448700    24.441654
## 2008-09-18 25.332557 26.959417 24.178258 26.502346  155272500    26.502346
## 2008-09-19 30.034963 30.794165 27.927789 29.802555  157949600    29.802555
## 2008-09-22 29.244767 29.244767 27.796087 27.858061  112364700    27.858061
## 2008-09-23 27.602419 28.129212 26.634049 26.990408   75596800    26.990408
## 2008-09-24 27.462972 27.687635 26.943925 27.300287   64728700    27.300287
## 2008-09-25 27.672136 29.051094 27.501702 28.702480   98210700    28.702480
## 2008-09-26 27.191825 27.943282 26.339662 27.726368   56618700    27.726368
## 2008-09-29 26.440369 26.595309 23.922606 24.488136  126723300    24.488136
## 2008-09-30 25.743142 26.750246 25.371288 26.471355   77582900    26.471355
## 2008-10-01 26.192469 26.788986 25.642433 26.788986   69638300    26.788986
## 2008-10-02 25.774132 25.781878 24.371931 24.441654   81034600    24.441654
## 2008-10-03 24.736043 25.626945 23.744432 23.798660   83974700    23.798660
## 2008-10-06 22.063340 22.373217 20.544936 22.009111  155814800    22.009111
## 2008-10-07 22.365471 22.551398 20.297033 20.297033  115117100    20.297033
## 2008-10-08 19.832215 21.211173 19.483602 20.297033  133618100    20.297033
## 2008-10-09 20.831575 21.149200 18.716655 18.801872  129263500    18.801872
## 2008-10-10 17.949704 20.134347 17.229237 19.018784  181837700    19.018784
## 2008-10-13 20.723117 23.527517 20.281540 23.349335  177204100    23.349335
## 2008-10-14 23.318351 24.209251 21.544296 22.187294  154341500    22.187294
## 2008-10-15 20.800585 20.878056 18.522979 18.600449  153732000    18.600449
## 2008-10-16 19.057518 19.514589 17.469390 19.514589  182101100    19.514589
## 2008-10-17 18.515234 20.064626 18.267331 18.902582  121812700    18.902582
## 2008-10-20 19.491348 20.304778 19.204711 20.227310   84463900    20.227310
## 2008-10-21 19.367394 19.638538 18.615940 18.615940   86398800    18.615940
## 2008-10-22 17.779268 17.903219 16.377067 16.655958  157052000    16.655958
## 2008-10-23 16.578494 17.453901 16.005219 17.120781  153277100    17.120781
## 2008-10-24 15.013602 16.121417 14.866411 15.354469  170199600    15.354469
## 2008-10-27 14.959378 15.834786 14.843174 14.951631  142877900    14.951631
## 2008-10-28 15.989722 18.778628 15.571387 18.081402  219283400    18.081402
## 2008-10-29 17.213744 18.600450 16.865131 17.508129  159872300    17.508129
## 2008-10-30 18.980057 19.948428 18.879348 19.870958  186225900    19.870958
## 2008-10-31 19.382887 20.103355 19.173719 19.700512  162086800    19.700512
## 2008-11-03 19.863204 19.956168 19.437122 19.522339   90109900    19.522339
## 2008-11-04 20.467468 21.404850 20.258300 21.304140  138685300    21.304140
## 2008-11-05 20.258299 20.436479 18.437763 18.592703  153152800    18.592703
## 2008-11-06 18.546221 18.732148 17.298960 17.655321  158025800    17.655321
## 2008-11-07 18.476498 19.119496 18.135632 19.088507  152078400    19.088507
## 2008-11-10 19.917427 19.917427 18.732143 19.266684   96111900    19.266684
## 2008-11-11 18.615943 18.809617 17.748283 18.065908  128587900    18.065908
## 2008-11-12 17.678561 17.694055 16.532011 16.725685  182266000    16.725685
## 2008-11-13 17.012321 19.158229 16.183396 19.042025  241229100    19.042025
## 2008-11-14 17.972947 18.329306 17.159515 17.213743  180106800    17.213743
## 2008-11-17 17.074304 17.655326 16.803160 16.927111  118832400    16.927111
## 2008-11-18 16.710192 17.020070 16.020713 16.679205  111377600    16.679205
## 2008-11-19 16.369322 16.547504 15.191786 15.238267  155995700    15.238267
## 2008-11-20 15.098824 15.548148 14.114959 14.145948  244592200    14.145948
## 2008-11-21 15.524903 16.260863 14.703725 16.183393  248682100    16.183393
## 2008-11-24 16.113672 17.546860 16.098180 17.167259  188103000    17.167259
## 2008-11-25 17.469388 17.508123 16.454537 16.841885  133691700    16.841885
## 2008-11-26 16.741185 18.158879 16.710196 18.127890  120738500    18.127890
## 2008-11-28 17.694055 17.879982 17.608838 17.779272   36642700    17.779272
## 2008-12-01 17.159515 17.198251 16.028460 16.067194  138664600    16.067194
## 2008-12-02 16.764416 17.144017 16.377068 17.082041  112480900    17.082041
## 2008-12-03 16.470034 17.329947 16.384817 17.221489   93150400    17.221489
## 2008-12-04 16.748926 17.198249 16.284107 16.485529  117519200    16.485529
## 2008-12-05 16.369328 17.469396 16.175654 17.461651   96640400    17.461651
## 2008-12-08 18.143376 18.755385 18.112388 18.577206  122277400    18.577206
## 2008-12-09 18.337050 18.817362 18.034919 18.321556  103924100    18.321556
## 2008-12-10 18.879340 19.460362 18.848352 19.413879  100967300    19.413879
## 2008-12-11 19.251195 19.816723 18.848353 18.918076  112643600    18.918076
## 2008-12-12 18.491996 19.344160 18.360298 19.181475   98443000    19.181475
## 2008-12-15 19.266686 19.297673 18.685664 18.925819   67469800    18.925819
## 2008-12-16 19.220207 20.498456 19.134992 20.436480  146597700    20.436480
## 2008-12-17 19.917433 20.397745 19.847712 20.080120   97104500    20.080120
## 2008-12-18 20.204070 20.273793 19.537831 19.638542   92867800    19.638542
## 2008-12-19 19.901939 20.142094 19.514591 19.708265   56422900    19.708265
## 2008-12-22 19.561072 19.615301 18.732147 18.972303   73538500    18.972303
## 2008-12-23 18.995874 19.113714 18.697344 18.815186   70285300    18.815186
## 2008-12-24 18.972305 19.090145 18.595216 18.948738   29365000    18.948738
## 2008-12-26 18.972309 19.027300 18.642355 18.885893   24728700    18.885893
## 2008-12-29 19.121567 19.168703 18.689486 18.854462   36240900    18.854462
## 2008-12-30 19.019437 19.412238 18.980158 19.357246   50083900    19.357246
## 2008-12-31 19.207985 19.695058 19.113712 19.616497   44815800    19.616497
## 2009-01-02 19.797185 20.716340 19.742192 20.551363   69494900    20.551363
## 2009-01-05 20.425665 21.022723 20.378529 20.818466   64779500    20.818466
## 2009-01-06 21.124856 21.431242 20.975593 21.289833   67960000    21.289833
## 2009-01-07 20.692774 20.708487 19.985733 20.064293   83175000    20.064293
## 2009-01-08 19.710770 20.025011 19.561506 19.977875   56783900    19.977875
## 2009-01-09 19.828612 19.907172 19.349393 19.545794  103377500    19.545794
## 2009-01-12 19.325821 19.341534 18.587355 18.720907   65283500    18.720907
## 2009-01-13 18.610926 19.035151 18.516653 18.775902   55003100    18.775902
## 2009-01-14 18.359538 18.367392 17.699631 17.864607  103322800    17.864607
## 2009-01-15 17.880314 18.288829 17.220408 18.068859  109003500    18.068859
## 2009-01-16 18.587356 18.603068 17.699626 18.265259   79520400    18.265259
## 2009-01-20 17.699627 17.754619 16.882600 16.906168  126067100    16.906168
## 2009-01-21 17.353963 17.911740 16.921882 17.825325  103794300    17.825325
## 2009-01-22 17.236120 17.566073 16.859029 17.236120   83312100    17.236120
## 2009-01-23 16.599782 17.621066 16.568359 17.456089   77371100    17.456089
## 2009-01-26 17.636782 18.131711 17.448235 17.660349   67314400    17.660349
## 2009-01-27 17.872462 18.115998 17.715341 17.974590   72898600    17.974590
## 2009-01-28 18.540227 18.995877 18.445955 18.885893   93809800    18.885893
## 2009-01-29 18.280977 18.351682 17.919599 17.927456   59937600    17.927456
## 2009-01-30 18.131710 18.320255 17.652492 17.793901   99451200    17.793901
## 2009-02-02 17.440377 17.770330 17.361816 17.613209   47753900    17.613209
## 2009-02-03 17.793901 18.194558 17.589643 18.139566   53163700    18.139566
## 2009-02-04 18.320255 18.689489 18.115998 18.273119   65511300    18.273119
## 2009-02-05 18.155279 18.870177 17.982445 18.658064   95946700    18.658064
## 2009-02-06 18.940878 19.671488 18.870173 19.592928   79125400    19.592928
## 2009-02-09 19.561508 19.726485 19.325827 19.490803   53789200    19.490803
## 2009-02-10 19.341538 19.522226 18.312397 18.312397   92940400    18.312397
## 2009-02-11 18.775902 18.988014 18.406669 18.862318   66598400    18.862318
## 2009-02-12 18.280974 18.783759 18.115996 18.744480   69735000    18.744480
## 2009-02-13 18.823036 18.964445 18.587356 18.838749   58072700    18.838749
## 2009-02-17 17.746760 17.841031 17.346102 17.636776  115591100    17.636776
## 2009-02-18 17.652489 17.833179 17.188983 17.511082   83947600    17.511082
## 2009-02-19 17.880314 17.896027 17.306825 17.346104   59593900    17.346104
## 2009-02-20 16.811896 17.243978 16.654776 16.906168  102871400    16.906168
## 2009-02-23 17.385384 17.424665 16.458375 16.489798  103469300    16.489798
## 2009-02-24 16.646925 17.440384 16.536939 17.393246   99563300    17.393246
## 2009-02-25 17.267544 17.456087 16.811894 17.094711   81182000    17.094711
## 2009-02-26 17.314682 17.518937 16.921881 16.945448   56997700    16.945448
## 2009-02-27 16.505504 17.243971 16.497648 16.678337   74829200    16.678337
## 2009-03-02 16.199125 16.309108 15.602067 15.664915   97424500    15.664915
## 2009-03-03 16.065579 16.191276 15.625640 15.884889   85418100    15.884889
## 2009-03-04 16.694059 17.243981 16.544793 17.000443  102892700    17.000443
## 2009-03-05 16.411242 16.662635 16.206985 16.301258  101629700    16.301258
## 2009-03-06 16.639066 16.859034 16.144136 16.576218   76598000    16.576218
## 2009-03-09 16.356248 16.749049 16.206982 16.254120   67052500    16.254120
## 2009-03-10 16.953306 17.589643 16.898314 17.573933   92651000    17.573933
## 2009-03-11 17.707485 17.833182 17.306828 17.573933   73894400    17.573933
## 2009-03-12 17.503228 18.288831 17.432524 18.249550   77706800    18.249550
## 2009-03-13 18.390960 18.453809 17.966736 18.351681   67993700    18.351681
## 2009-03-16 18.642350 18.854462 18.343821 18.367388   58545900    18.367388
## 2009-03-17 18.320252 18.768045 18.186700 18.768045   61603300    18.768045
## 2009-03-18 18.571641 19.255116 18.288826 19.160843   80664200    19.160843
## 2009-03-19 19.380816 19.435808 18.948735 19.035151   95853100    19.035151
## 2009-03-20 18.980159 19.137280 18.713054 18.775902   68480300    18.775902
## 2009-03-23 19.608642 20.543510 19.569363 20.512087  135850200    20.512087
## 2009-03-24 19.977873 20.268545 19.812896 19.875744  101954700    19.875744
## 2009-03-25 20.056436 20.527796 19.773619 20.174276  111157000    20.174276
## 2009-03-26 20.629927 20.802760 20.409959 20.724199   76714100    20.724199
## 2009-03-27 20.276405 20.299974 19.977877 20.111429   98452500    20.111429
## 2009-03-30 19.270837 19.278693 18.909459 19.074436   78970500    19.074436
## 2009-03-31 19.616499 19.797190 19.380819 19.490803   83243900    19.490803
## 2009-04-01 19.482946 20.197844 19.420098 20.134996   62557700    20.134996
## 2009-04-02 20.889175 21.533369 20.865606 21.226984  106959400    21.226984
## 2009-04-03 21.085574 21.541223 21.007013 21.486231   75869500    21.486231
## 2009-04-06 21.258407 21.297689 20.865606 21.219128   71265800    21.219128
## 2009-04-07 20.849894 20.991301 20.692773 20.732052   45654200    20.732052
## 2009-04-08 20.897030 21.211271 20.747765 21.038439   48555500    21.038439
## 2009-04-09 21.745481 21.973304 21.706200 21.957594   90146100    21.957594
## 2009-04-13 21.902599 22.201129 21.714054 22.091145   52643700    22.091145
## 2009-04-14 21.957595 22.169706 21.690490 21.737625   59824500    21.737625
## 2009-04-15 21.800475 22.059724 21.666923 22.051868   54941500    22.051868
## 2009-04-16 22.169710 22.389679 21.894750 22.240414   81078700    22.240414
## 2009-04-17 22.201130 22.263978 21.973304 22.083290   53672500    22.083290
## 2009-04-20 21.517656 21.525513 20.983446 21.007015   81304500    21.007015
## 2009-04-21 20.952022 21.509799 20.810614 21.454807   78959000    21.454807
## 2009-04-22 21.132714 21.682635 21.093433 21.274122   49027000    21.274122
## 2009-04-23 21.572646 21.651206 21.289830 21.604071   60314600    21.604071
## 2009-04-24 21.941883 22.130427 21.808330 22.012587   55511400    22.012587
## 2009-04-27 21.368395 21.604075 21.140570 21.274122   63328900    21.274122
## 2009-04-28 20.834178 21.399812 20.818466 21.203411   47904400    21.203411
## 2009-04-29 21.792618 22.515373 21.721914 22.318972   74377700    22.318972
## 2009-04-30 22.743196 22.806044 22.334681 22.523226   98171200    22.523226
## 2009-05-01 22.554650 23.026012 22.452523 22.853180   57110400    22.853180
## 2009-05-04 23.528801 25.178565 23.450240 24.432243   98247800    24.432243
## 2009-05-05 24.243698 24.267264 23.937311 24.212273   68791600    24.212273
## 2009-05-06 24.565797 24.825046 24.267267 24.628645   73761000    24.628645
## 2009-05-07 24.974309 24.990019 23.827328 24.015873   75753800    24.015873
## 2009-05-08 24.573654 24.895751 24.298692 24.817190   75762100    24.817190
## 2009-05-11 24.353682 24.479379 24.078721 24.235842   58826800    24.235842
## 2009-05-12 24.628647 24.683639 24.094437 24.408678   49679000    24.408678
## 2009-05-13 23.850896 23.913744 23.434526 23.513086   67084800    23.513086
## 2009-05-14 23.418816 24.000162 23.395249 23.850899   44896300    23.850899
## 2009-05-15 23.866608 24.063009 23.450239 23.630928   53304900    23.630928
## 2009-05-18 24.424386 25.029301 24.353682 24.942884   74264200    24.942884
## 2009-05-19 25.037152 25.492802 24.935023 25.225697   73775000    25.225697
## 2009-05-20 25.524237 25.854189 25.209994 25.304266   77054600    25.304266
## 2009-05-21 24.832901 24.974309 24.534371 24.832901   63183300    24.832901
## 2009-05-22 24.895749 25.202134 24.809332 24.942884   44241600    24.942884
## 2009-05-26 24.550082 25.296405 24.330112 25.241413   67058200    25.241413
## 2009-05-27 25.524230 25.634214 24.935027 24.950739   98036100    24.950739
## 2009-05-28 25.367105 25.791331 25.154992 25.720627   69977300    25.720627
## 2009-05-29 26.137005 26.246989 25.830620 26.113438   70410400    26.113438
## 2009-06-01 26.914746 27.409677 26.789050 27.213276   75198300    27.213276
## 2009-06-02 26.891178 27.071866 26.679065 26.820473  100627600    26.820473
## 2009-06-03 26.419825 26.514096 25.524238 25.869902  108756900    25.869902
## 2009-06-04 26.066292 26.435527 24.180847 26.349110   71566500    26.349110
## 2009-06-05 26.836185 26.844039 26.027015 26.404104   71692700    26.404104
## 2009-06-08 25.830616 26.215560 25.610645 25.995592   64025700    25.995592
## 2009-06-09 26.160570 26.199849 25.681352 26.042732   62174500    26.042732
## 2009-06-10 26.639788 26.671213 26.003448 26.372683   60045900    26.372683
## 2009-06-11 26.498380 27.181852 26.466955 26.938318   68831300    26.938318
## 2009-06-12 26.569082 26.608361 26.239130 26.506235   55824300    26.506235
## 2009-06-15 25.987740 26.003449 25.280696 25.555656   75789300    25.555656
## 2009-06-16 25.689208 25.830616 25.076437 25.170710   71535900    25.170710
## 2009-06-17 24.974311 25.147141 24.612933 24.887894   94091200    24.887894
## 2009-06-18 24.785765 25.045014 24.628645 24.817190   62572000    24.817190
## 2009-06-19 25.154997 25.194277 24.880036 24.942884   60687200    24.942884
## 2009-06-22 24.597217 24.660065 24.023728 24.039440   80985000    24.039440
## 2009-06-23 24.203377 24.274657 23.854901 24.195457   87108200    24.195457
## 2009-06-24 24.836980 25.098338 24.551861 24.726099   80955800    24.726099
## 2009-06-25 24.567701 25.462658 24.559782 25.462658   83273600    25.462658
## 2009-06-26 25.470577 25.724015 25.391378 25.597296   64981100    25.597296
## 2009-06-29 25.826980 25.866579 25.526021 25.787380   52781900    25.787380
## 2009-06-30 25.763614 25.874492 25.343857 25.526016   92032200    25.526016
## 2009-07-01 26.072488 26.294249 25.929932 25.993290   83474500    25.993290
## 2009-07-02 25.549776 25.565617 25.240900 25.280499   59912900    25.280499
## 2009-07-06 24.924104 25.264663 24.726105 25.225063   52119200    25.225063
## 2009-07-07 25.185456 25.240897 24.615220 24.631060   68778800    24.631060
## 2009-07-08 24.726097 24.797377 23.957862 24.345940   92051000    24.345940
## 2009-07-09 24.860738 24.987457 24.599379 24.781540   64758500    24.781540
## 2009-07-10 24.448902 24.599380 24.219223 24.488501   74323300    24.488501
## 2009-07-13 24.338024 24.789460 23.997465 24.662741   70112100    24.662741
## 2009-07-14 24.963702 25.058741 24.686503 24.932022   41729700    24.932022
## 2009-07-15 25.676496 26.302174 25.636897 26.270493   91648100    26.270493
## 2009-07-16 26.120015 26.500172 25.914097 26.318014   63985200    26.318014
## 2009-07-17 26.397217 26.650655 26.246735 26.587294   56901900    26.587294
## 2009-07-20 27.236734 27.537693 27.157536 27.537693   68482100    27.537693
## 2009-07-21 27.680246 27.696086 27.030810 27.458485   68861800    27.458485
## 2009-07-22 27.070408 27.632724 27.054568 27.395126   69406200    27.395126
## 2009-07-23 27.593115 28.337590 27.537676 28.171272   79876800    28.171272
## 2009-07-24 27.878240 28.060398 27.664401 28.036640   49263200    28.036640
## 2009-07-27 28.155439 28.313839 27.870320 28.282158   42808800    28.282158
## 2009-07-28 28.036648 28.234647 27.751529 28.155445   53859400    28.155445
## 2009-07-29 27.806970 27.822810 27.347611 27.521851   53099700    27.521851
## 2009-07-30 28.297998 28.527676 28.171278 28.202959   90259400    28.202959
## 2009-07-31 28.385116 28.551434 28.131677 28.337595  119531600    28.337595
## 2009-08-03 29.097911 29.454307 28.963270 29.398867   78103100    29.398867
## 2009-08-04 28.947434 29.295914 28.891995 29.129593   53355600    29.129593
## 2009-08-05 28.891994 29.002873 28.448475 28.884075   47802100    28.884075
## 2009-08-06 29.034560 29.074159 28.345525 28.646481   53346600    28.646481
## 2009-08-07 28.915754 29.105835 28.662317 28.931595   57768600    28.931595
## 2009-08-10 28.686077 28.773197 28.361359 28.606876   61356900    28.606876
## 2009-08-11 28.369273 28.385113 27.894077 28.068314   70127000    28.068314
## 2009-08-12 27.965368 28.511845 27.949528 28.321764   64542700    28.321764
## 2009-08-13 28.796954 28.820712 28.361357 28.812794   67566500    28.812794
## 2009-08-14 28.773205 28.804883 28.155446 28.290087   52588400    28.290087
## 2009-08-17 27.300088 27.355528 27.030810 27.181288  105003100    27.181288
## 2009-08-18 27.537687 27.791126 27.458486 27.775286   67450600    27.775286
## 2009-08-19 27.228805 27.917841 27.149604 27.846561   67893600    27.846561
## 2009-08-20 27.925762 28.385121 27.862404 28.329681   71352300    28.329681
## 2009-08-21 28.598965 28.852403 28.488085 28.757364   81207200    28.757364
## 2009-08-24 29.074152 29.232552 28.773196 28.884075   58467000    28.884075
## 2009-08-25 29.090002 29.303841 28.804883 28.820723   61418900    28.820723
## 2009-08-26 28.678153 28.812794 28.503917 28.733593   57206000    28.733593
## 2009-08-27 28.551439 28.733598 28.139601 28.678158   59720400    28.678158
## 2009-08-28 28.844476 28.891997 28.369280 28.527679   51683600    28.527679
## 2009-08-31 28.044558 28.068317 27.870318 27.965359   72348200    27.965359
## 2009-09-01 28.036644 28.408880 27.410967 27.434725   95728700    27.434725
## 2009-09-02 27.474332 27.846571 27.434732 27.727770   68401900    27.727770
## 2009-09-03 28.131680 28.305920 27.870320 28.282158   53720900    28.282158
## 2009-09-04 28.488081 28.860317 28.250480 28.828640   58976200    28.828640
## 2009-09-08 29.327594 29.470153 29.280076 29.422636   59862900    29.422636
## 2009-09-09 29.541439 29.771119 29.390961 29.581038   67098400    29.581038
## 2009-09-10 29.596870 29.992868 28.139599 29.969109   58466700    29.969109
## 2009-09-11 30.079986 30.230463 29.786948 29.984947   45286800    29.984947
## 2009-09-14 29.549363 29.937439 29.509761 29.874081   36747500    29.874081
## 2009-09-15 29.921595 30.254235 29.818638 30.230473   61595600    30.230473
## 2009-09-16 30.673990 33.263816 30.515590 30.990789   80170500    30.990789
## 2009-09-17 30.911585 31.165023 30.681909 30.824465   76626800    30.824465
## 2009-09-18 30.974948 31.006629 30.761109 30.911587   66818800    30.911587
## 2009-09-21 30.499745 30.705665 30.214630 30.642305   78144500    30.642305
## 2009-09-22 31.054147 31.172948 30.848230 31.109587   46286700    31.109587
## 2009-09-23 31.054143 31.291741 30.642305 30.642305   72549000    30.642305
## 2009-09-24 30.753179 30.808619 29.858224 30.040382   93478600    30.040382
## 2009-09-25 30.040391 30.317588 29.977029 30.167110   61306900    30.167110
## 2009-09-28 30.246312 30.753192 30.190873 30.555193   52268400    30.555193
## 2009-09-29 30.713579 30.808621 30.420542 30.626459   42189900    30.626459
## 2009-09-30 30.864074 31.141271 30.412637 30.816553  147148900    30.816553
## 2009-10-01 30.737346 30.784864 29.929511 29.977028  107061100    29.977028
## 2009-10-02 29.604789 30.079986 29.541428 29.984947   73683200    29.984947
## 2009-10-05 30.262153 30.769029 30.103753 30.681913   73828900    30.681913
## 2009-10-06 30.998710 31.505588 30.935352 31.188791   80646200    31.188791
## 2009-10-07 31.093742 31.212543 30.871985 31.157103   51404500    31.157103
## 2009-10-08 31.426387 31.648145 31.212548 31.537266   62070300    31.537266
## 2009-10-09 31.521419 31.648138 31.426380 31.561018   54136800    31.561018
## 2009-10-12 31.774869 31.980790 31.671912 31.822390   38014600    31.822390
## 2009-10-13 31.759024 31.941186 31.481827 31.877825   58368400    31.877825
## 2009-10-14 32.535175 32.907410 32.432214 32.907410   96043000    32.907410
## 2009-10-15 32.558940 32.804456 32.487659 32.725258   72494700    32.725258
## 2009-10-16 32.226298 32.408457 31.957019 32.273819   72392900    32.273819
## 2009-10-19 32.543098 32.947014 32.400539 32.891575   60428800    32.891575
## 2009-10-20 32.717330 32.725249 32.131253 32.455971   84292300    32.455971
## 2009-10-21 32.305493 32.907408 32.265894 32.281731   74510100    32.281731
## 2009-10-22 32.234218 32.661897 31.917418 32.551014   71024900    32.551014
## 2009-10-23 32.756931 32.812370 32.115413 32.281731   73930400    32.281731
## 2009-10-26 32.551020 32.812380 31.806545 31.877825   79280900    31.877825
## 2009-10-27 31.885743 31.933264 31.323427 31.323427   95899600    31.323427
## 2009-10-28 30.998703 30.998703 29.818632 29.889912  169924100    29.889912
## 2009-10-29 30.412633 31.299667 30.412633 31.212547   99431400    31.212547
## 2009-10-30 30.943272 30.967030 29.557279 29.755278  222474200    29.755278
## 2009-11-02 30.198792 30.642308 29.683994 30.198792  137964200    30.198792
## 2009-11-03 29.652308 30.349265 29.620631 30.246305   71908600    30.246305
## 2009-11-04 30.919511 31.204630 30.594792 30.808632   95721700    30.808632
## 2009-11-05 31.030379 31.450135 30.879901 31.442217   75480000    31.442217
## 2009-11-06 31.133345 31.576861 31.054144 31.402624   58868500    31.402624
## 2009-11-09 31.972859 32.598536 31.964940 32.558937  106762900    32.558937
## 2009-11-10 32.210456 32.574776 32.162939 32.408455   62713800    32.408455
## 2009-11-11 32.859902 32.970780 32.455982 32.685661   69184200    32.685661
## 2009-11-12 32.448060 32.614378 31.901581 31.957020   75713600    31.957020
## 2009-11-13 32.162948 32.606463 32.020388 32.503506   70021000    32.503506
## 2009-11-16 32.970775 33.453893 32.954935 33.319252  101093400    33.319252
## 2009-11-17 32.986619 33.200455 32.764858 33.200455   49649500    33.200455
## 2009-11-18 33.184611 33.240050 32.836131 32.939091   46360800    32.939091
## 2009-11-19 32.582692 32.582692 32.036216 32.329254  119413400    32.329254
## 2009-11-20 32.155015 32.329256 31.988697 32.194618   66353700    32.194618
## 2009-11-23 32.907416 33.152936 32.725258 32.867817   62386100    32.867817
## 2009-11-24 32.630222 32.717342 32.305504 32.685661   71683700    32.685661
## 2009-11-25 32.851980 33.097500 32.661903 33.065819   56185100    33.065819
## 2009-11-27 31.497672 32.194630 31.117515 31.782791  105903600    31.782791
## 2009-11-30 32.044139 32.170859 31.735262 32.091660  102168700    32.091660
## 2009-12-01 32.741101 33.129181 32.709421 33.010380   88987900    33.010380
## 2009-12-02 33.042051 33.390528 33.010370 33.145008   64268600    33.145008
## 2009-12-03 33.335090 33.509330 32.780692 32.836132   65363400    32.836132
## 2009-12-04 33.477647 33.675646 32.709411 33.137089  108670600    33.137089
## 2009-12-07 32.923251 33.192529 32.828212 32.851971   78376400    32.851971
## 2009-12-08 32.527261 32.543101 32.155022 32.242142   76088400    32.242142
## 2009-12-09 32.289658 32.471817 32.083737 32.440136   62353800    32.440136
## 2009-12-10 32.606460 32.749019 32.408461 32.630222   43126100    32.630222
## 2009-12-11 32.788619 32.820296 32.543099 32.749016   41518600    32.749016
## 2009-12-14 32.907415 33.026216 32.772777 32.970776   54210800    32.970776
## 2009-12-15 32.614381 32.923260 32.590623 32.630222   47034600    32.630222
## 2009-12-16 32.875736 33.137096 32.709418 32.820297   45982000    32.820297
## 2009-12-17 32.234224 32.289663 31.869907 31.877825   77310300    31.877825
## 2009-12-18 31.988697 32.075818 31.679820 31.964939   61829500    31.964939
## 2009-12-21 32.059981 32.257980 31.893662 31.925343   54922800    31.925343
## 2009-12-22 32.055474 32.247086 32.007569 32.247086   61633400    32.247086
## 2009-12-23 32.470631 32.702166 32.255069 32.566441   48971700    32.566441
## 2009-12-24 32.837903 32.917742 32.734112 32.893791   19694800    32.893791
## 2009-12-28 33.109354 33.141287 32.853869 33.005562   27343900    33.005562
## 2009-12-29 33.079043 33.095017 32.839457 32.887375   31570300    32.887375
## 2009-12-30 32.927306 33.039113 32.847444 33.031128   30589200    33.031128
## 2009-12-31 33.246759 33.350578 33.055087 33.142937   36499500    33.142937
## 2010-01-04 33.686009 34.133241 33.670037 34.109280   70761600    34.109280
## 2010-01-05 34.268993 34.476634 34.149198 34.356842   50196300    34.356842
## 2010-01-06 34.404761 34.572471 34.348854 34.428719   50670000    34.428719
## 2010-01-07 34.221072 34.324895 34.037389 34.229061   41803700    34.229061
## 2010-01-08 34.245027 34.516559 34.133220 34.500587   41118100    34.500587
## 2010-01-11 34.700251 34.716224 34.261009 34.428719   42546400    34.428719
## 2010-01-12 34.029400 34.101276 33.701964 33.877659   65902300    33.877659
## 2010-01-13 34.013433 34.101282 33.662039 33.981487   48040100    33.981487
## 2010-01-14 33.957526 34.037387 33.837731 33.893635   52893800    33.893635
## 2010-01-15 33.797809 33.845728 33.406485 33.502319   76681800    33.502319
## 2010-01-19 33.606126 34.181133 33.598138 34.181133   57597300    34.181133
## 2010-01-20 33.630088 33.630088 33.087023 33.358555   78934700    33.358555
## 2010-01-21 33.182862 33.286684 32.328334 32.352291  116104300    32.352291
## 2010-01-22 32.120689 32.224508 31.569636 31.633528  108173800    31.633528
## 2010-01-25 32.048812 32.200550 31.681442 31.865129   86170400    31.865129
## 2010-01-26 31.250187 31.625539 28.598753 31.202269   89832400    31.202269
## 2010-01-27 30.978662 31.242206 30.651225 31.122414   91623300    31.122414
## 2010-01-28 31.401933 31.529713 30.635254 30.906786   98086600    30.906786
## 2010-01-29 31.266158 31.354003 30.411629 30.571352  151695100    30.571352
## 2010-02-01 30.858866 31.425889 30.834909 31.393946   81928100    31.393946
## 2010-02-02 31.457836 31.713396 31.162346 31.649508   86791200    31.649508
## 2010-02-03 31.657484 31.801237 31.361993 31.465816   64323800    31.465816
## 2010-02-04 30.946713 30.986643 30.028293 30.044266  131791500    30.044266
## 2010-02-05 29.780727 29.868577 28.894253 29.708851  165899900    29.708851
## 2010-02-08 29.692872 29.932460 29.405367 29.413355   78752400    29.413355
## 2010-02-09 30.132109 30.643228 29.892522 30.371696  133342000    30.371696
## 2010-02-10 30.379692 30.579348 29.956418 30.291842   84646000    30.291842
## 2010-02-11 30.499475 31.122404 30.243915 31.090458   90206600    31.090458
## 2010-02-12 30.459548 30.810945 30.243919 30.699135   63053000    30.699135
## 2010-02-16 31.162339 31.513733 30.946710 31.489775   73196700    31.489775
## 2010-02-17 31.729371 31.753328 31.409923 31.601591   63631100    31.601591
## 2010-02-18 31.354006 31.833183 31.306091 31.721376   61597600    31.721376
## 2010-02-19 31.361998 31.649504 31.274150 31.449848   77264800    31.449848
## 2010-02-22 31.641513 31.657485 31.385953 31.489775   56446600    31.489775
## 2010-02-23 31.314079 31.489778 30.739072 30.763029  103220800    30.763029
## 2010-02-24 30.970670 31.202272 30.786987 31.058519   73043700    31.058519
## 2010-02-25 30.323784 30.858861 30.156070 30.802958   73641500    30.802958
## 2010-02-26 30.834903 31.178312 30.643231 31.114420   65727300    31.114420
## 2010-03-01 31.489780 31.729368 31.409919 31.641518   73146100    31.641518
## 2010-03-02 31.960969 32.184583 31.825201 32.000900   66353000    32.000900
## 2010-03-03 32.168613 32.440145 31.921041 32.040833   68779900    32.040833
## 2010-03-04 32.064789 32.104719 31.673461 31.873117   61065500    31.873117
## 2010-03-05 32.312358 32.703686 32.192566 32.703686   78177700    32.703686
## 2010-03-08 32.775568 32.895360 32.679731 32.727650   56724000    32.727650
## 2010-03-09 32.583884 33.063061 32.575899 32.911320   66759800    32.911320
## 2010-03-10 32.983211 33.278702 32.911335 33.142937   73994500    33.142937
## 2010-03-11 32.951253 33.182855 32.775558 33.150909   42415700    33.150909
## 2010-03-12 33.302652 33.310636 32.943270 33.039104   48949200    33.039104
## 2010-03-15 32.847433 32.935283 32.591873 32.799515   43560300    32.799515
## 2010-03-16 32.911323 33.238759 32.783543 33.222786   58417000    33.222786
## 2010-03-17 33.550234 33.741906 33.438428 33.582180   72017100    33.582180
## 2010-03-18 33.518289 33.566205 33.166892 33.326618   73867900    33.326618
## 2010-03-19 32.895348 33.438413 32.847432 32.895348   65993900    32.895348
## 2010-03-22 32.559932 33.047094 32.480068 33.015148   57583400    33.015148
## 2010-03-23 33.055082 33.270712 32.903345 33.246754   50528500    33.246754
## 2010-03-24 32.895355 33.031123 32.751602 32.751602   65081100    32.751602
## 2010-03-25 33.023135 33.142930 32.599865 32.663757   72397600    32.663757
## 2010-03-26 32.935294 33.055085 32.543966 32.823483   69798700    32.823483
## 2010-03-29 33.166885 33.430432 33.095008 33.414459   57961300    33.414459
## 2010-03-30 33.494318 33.638070 33.318622 33.542236   50327500    33.542236
## 2010-03-31 33.430436 33.725927 33.414463 33.638077   52858500    33.638077
## 2010-04-01 34.133232 34.516571 34.133232 34.516571   96281100    34.516571
## 2010-04-05 34.692258 34.939833 34.612397 34.828026   63633700    34.828026
## 2010-04-06 34.692260 35.011711 34.668302 34.931850   42926300    34.931850
## 2010-04-07 34.788101 34.875947 34.444692 34.628376   55642000    34.628376
## 2010-04-08 34.396768 34.788095 34.229057 34.748161   52083200    34.748161
## 2010-04-09 34.820042 37.263835 34.764139 34.963795   46651000    34.963795
## 2010-04-12 34.700257 34.875952 34.684284 34.684284   43558300    34.684284
## 2010-04-13 34.588438 34.652326 34.268987 34.612396   47072900    34.612396
## 2010-04-14 34.971782 35.155465 34.812056 35.123520   42957800    35.123520
## 2010-04-15 34.899904 35.123518 34.859974 34.931850   43463300    34.931850
## 2010-04-16 34.540533 34.596436 33.757880 33.909618  142486200    33.909618
## 2010-04-19 33.510298 33.845722 33.262727 33.773846   89434600    33.773846
## 2010-04-20 34.077327 34.229068 33.901632 34.173164   63883700    34.173164
## 2010-04-21 34.109274 34.157192 33.749892 34.061359   64141600    34.061359
## 2010-04-22 33.757873 34.237048 33.534260 34.205105   72788900    34.205105
## 2010-04-23 34.093297 34.428721 33.933575 34.388790   64724100    34.388790
## 2010-04-26 34.604420 34.660323 34.332887 34.388790   46317300    34.388790
## 2010-04-27 34.005449 34.085310 33.087029 33.158905  132888400    33.158905
## 2010-04-28 33.550226 33.590159 32.975218 33.438419   68981700    33.438419
## 2010-04-29 33.749878 34.029399 33.670017 33.989468   69912900    33.989468
## 2010-04-30 33.973508 34.093300 33.550234 33.582180   77528000    33.582180
## 2010-05-03 33.693982 33.877665 33.462383 33.765858   47649800    33.765858
## 2010-05-04 33.047101 33.071059 32.128681 32.216530  159998800    32.216530
## 2010-05-05 31.609570 32.152632 31.330050 31.633528  131994700    31.633528
## 2010-05-06 31.393946 31.753325 29.213701 30.339762  225063100    30.339762
## 2010-05-07 30.635240 31.018579 29.748766 30.499472  191265100    30.499472
## 2010-05-10 32.448126 32.767574 32.256454 32.695698  187916400    32.695698
## 2010-05-11 31.944995 32.583894 31.865134 32.104721  119869600    32.104721
## 2010-05-12 32.376248 32.559931 32.264441 32.504028   73936600    32.504028
## 2010-05-13 32.504028 32.687711 32.176592 32.200550   71622500    32.200550
## 2010-05-14 31.968950 31.992910 31.226228 31.537695  113085000    31.537695
## 2010-05-17 31.465820 31.681446 30.667195 31.346025  101708500    31.346025
## 2010-05-18 31.657489 31.777285 30.587332 30.691154  113529000    30.691154
## 2010-05-19 30.267876 30.587323 29.836618 30.395655  129633400    30.395655
## 2010-05-20 29.237656 29.597038 28.750494 28.886259  174383500    28.886259
## 2010-05-21 28.518889 29.852594 28.486943 29.820648  169452900    29.820648
## 2010-05-24 29.844611 30.052255 29.469260 29.509190   90936400    29.509190
## 2010-05-25 28.327228 29.237660 28.119584 29.189741  144257100    29.189741
## 2010-05-26 29.493210 29.964398 29.101883 29.173759  128281900    29.173759
## 2010-05-27 30.315796 30.994629 30.092182 30.938726  147181800    30.938726
## 2010-05-28 30.763036 30.818940 30.283859 30.427612  113223700    30.427612
## 2010-06-01 30.116141 30.691152 29.852597 29.868570   91068700    29.868570
## 2010-06-02 30.211981 30.938729 30.052255 30.914768  103740800    30.914768
## 2010-06-03 31.114421 31.154351 30.411633 30.802958   70470800    30.802958
## 2010-06-04 30.140109 30.443584 29.621001 29.708851  108937200    29.708851
## 2010-06-07 29.820657 29.948437 29.221688 29.245646   82131900    29.245646
## 2010-06-08 29.573076 29.956415 29.213698 29.916485  108438000    29.916485
## 2010-06-09 30.044271 30.443583 29.597042 29.756765   87947600    29.756765
## 2010-06-10 30.379690 30.834906 30.331772 30.794975   92855100    30.794975
## 2010-06-11 30.347740 30.978654 30.339755 30.954693   66496500    30.954693
## 2010-06-14 31.338038 31.545679 30.882819 30.962683   83991300    30.962683
## 2010-06-15 31.306087 31.937002 31.186292 31.897068   96494500    31.897068
## 2010-06-16 31.553659 32.040820 31.505744 31.897068   63906600    31.897068
## 2010-06-17 31.984918 31.992906 31.473799 31.737347   68660100    31.737347
## 2010-06-18 31.873119 32.048818 31.697421 31.881104   64639800    31.881104
## 2010-06-21 32.711673 32.847441 32.184581 32.432156   96721100    32.432156
## 2010-06-22 32.368256 32.527982 31.729357 31.809221  100336600    31.809221
## 2010-06-23 32.035928 32.060048 31.553582 31.891224   93969400    31.891224
## 2010-06-24 31.746525 31.746525 31.207901 31.328489   82636000    31.328489
## 2010-06-25 31.416918 31.778676 31.167703 31.698286   60657800    31.698286
## 2010-06-28 31.674177 31.754566 31.376726 31.481236   36242500    31.481236
## 2010-06-29 30.629081 30.661239 30.066345 30.203009  120391400    30.203009
## 2010-06-30 30.355749 30.629079 29.921639 30.002029   84176700    30.002029
## 2010-07-01 30.146730 30.259277 29.551833 30.219082  113344200    30.219082
## 2010-07-02 30.307518 30.516534 30.090461 30.347713   63854500    30.347713
## 2010-07-06 31.127506 31.384759 30.596924 30.910450   76509800    30.910450
## 2010-07-07 30.870252 31.601812 30.838095 31.593771   68037800    31.593771
## 2010-07-08 31.650049 31.778675 31.336524 31.746521   60958700    31.746521
## 2010-07-09 31.770639 32.164555 31.722404 32.132401   43777100    32.132401
## 2010-07-12 32.003778 32.188678 31.730448 31.875153   53211600    31.875153
## 2010-07-13 32.148477 32.349455 32.068084 32.244946   52194800    32.244946
## 2010-07-14 32.035925 32.269060 31.923378 32.180630   46615600    32.180630
## 2010-07-15 32.035931 32.100245 31.633974 32.027893   66745400    32.027893
## 2010-07-16 31.762590 31.762590 31.014954 31.071228   99497500    31.071228
## 2010-07-19 31.368688 31.553588 31.151632 31.481236   46717800    31.481236
## 2010-07-20 31.272216 32.269065 31.256137 32.220833   92255200    32.220833
## 2010-07-21 32.357495 32.381612 31.738482 31.891224   66007400    31.891224
## 2010-07-22 32.445921 32.912189 32.413764 32.855915   74052900    32.855915
## 2010-07-23 32.767476 33.113159 32.550423 33.081005   65675400    33.081005
## 2010-07-26 33.016698 33.338264 32.888072 33.306107   64865500    33.306107
## 2010-07-27 33.491017 33.531212 33.081023 33.249844   63763700    33.249844
## 2010-07-28 33.048863 33.265919 32.944353 33.064941   43131400    33.064941
## 2010-07-29 33.410621 33.482974 32.871997 33.121212   49588200    33.121212
## 2010-07-30 32.871996 33.386500 32.767487 33.281994   54277200    33.281994
## 2010-08-02 33.909049 34.238654 33.820619 34.142185   69623700    34.142185
## 2010-08-03 33.876891 34.110026 33.708070 33.981400   60207900    33.981400
## 2010-08-04 33.989435 34.110023 33.764340 34.029633   55875600    34.029633
## 2010-08-05 33.780427 33.925132 33.659839 33.876896   43650600    33.876896
## 2010-08-06 33.651797 33.917087 33.442778 33.828659   65731600    33.828659
## 2010-08-09 34.053756 34.077872 33.892973 34.005520   27051000    34.005520
## 2010-08-10 33.410620 33.756303 33.298070 33.539246   68735400    33.539246
## 2010-08-11 32.839850 32.839850 32.413778 32.470051   92778600    32.470051
## 2010-08-12 32.164552 32.622786 32.132398 32.526314   43919400    32.526314
## 2010-08-13 32.662980 32.815723 32.566508 32.703175   28672700    32.703175
## 2010-08-16 32.687097 33.040817 32.606707 33.008663   34651900    33.008663
## 2010-08-17 33.338272 33.539250 33.209646 33.354351   39414300    33.354351
## 2010-08-18 33.281999 33.499052 33.121215 33.330231   38009500    33.330231
## 2010-08-19 33.338276 33.434745 32.863967 33.072983   56729300    33.072983
## 2010-08-20 32.952397 33.000630 32.711221 32.976513   54134900    32.976513
## 2010-08-23 33.056891 33.169438 32.662975 32.679054   44767900    32.679054
## 2010-08-24 32.293190 32.421819 32.003784 32.261036   80709600    32.261036
## 2010-08-25 31.931425 32.180636 31.601820 32.052010   89890000    32.052010
## 2010-08-26 32.220832 32.357496 31.802797 31.851030   59948200    31.851030
## 2010-08-27 32.156523 32.558480 31.810840 32.550442   77005500    32.550442
## 2010-08-30 32.349471 32.494172 32.003788 32.011826   48054700    32.011826
## 2010-08-31 32.035930 32.333380 31.939462 32.204754   72404500    32.204754
## 2010-09-01 32.791611 33.354351 32.767491 33.338272   83435900    33.338272
## 2010-09-02 33.273958 33.458858 33.161411 33.394547   47351900    33.394547
## 2010-09-03 33.796493 33.900999 33.611593 33.788452   48712700    33.788452
## 2010-09-07 33.579451 33.603568 33.282005 33.298080   45210000    33.298080
## 2010-09-08 33.547285 33.796499 33.491011 33.659832   40612600    33.659832
## 2010-09-09 34.013555 34.037671 33.683951 33.852772   34925400    33.852772
## 2010-09-10 33.860819 34.037681 33.820624 33.973366   33236500    33.973366
## 2010-09-13 34.624530 34.825509 34.592373 34.785313   63308900    34.785313
## 2010-09-14 34.688844 34.994329 34.552178 34.769234   65151200    34.769234
## 2010-09-15 34.640609 34.841588 34.544141 34.817471   41107300    34.817471
## 2010-09-16 34.544145 34.704925 34.511988 34.640614   36078100    34.640614
## 2010-09-17 34.801396 34.817475 34.536103 34.584339   40115200    34.584339
## 2010-09-20 34.833554 35.171196 34.721004 35.131001   53864500    35.131001
## 2010-09-21 35.147062 35.227452 34.817458 35.026474   54263300    35.026474
## 2010-09-22 35.090801 35.299817 34.946096 35.050602   45586800    35.050602
## 2010-09-23 34.833549 35.187269 34.737077 34.825508   62060200    34.825508
## 2010-09-24 35.251586 35.492763 35.251586 35.468643   57929100    35.468643
## 2010-09-27 35.444519 35.549028 35.348050 35.404324   40319500    35.404324
## 2010-09-28 35.452559 35.725890 35.163154 35.661579   50012300    35.661579
## 2010-09-29 35.685700 35.942952 35.629427 35.782169   58310500    35.782169
## 2010-09-30 36.039416 36.168042 35.733929 35.991180   60498400    35.991180
## 2010-10-01 36.377059 36.578037 36.256470 36.521763   69689800    36.521763
## 2010-10-04 36.497649 36.586076 36.240397 36.409218   49852800    36.409218
## 2010-10-05 36.682546 37.140776 36.634310 37.068424   76615300    37.068424
## 2010-10-06 37.060387 37.164897 36.979997 37.052349   50339900    37.052349
## 2010-10-07 37.132735 37.140775 36.537841 36.722740   49224000    36.722740
## 2010-10-08 36.698634 37.221175 36.618240 37.164902   54002700    37.164902
## 2010-10-11 37.100571 37.213118 37.004099 37.140766   32413800    37.140766
## 2010-10-12 36.811171 37.068423 36.602152 36.988029   63619500    36.988029
## 2010-10-13 37.414108 37.791945 37.406067 37.671360   69189600    37.671360
## 2010-10-14 37.639201 37.775868 37.414107 37.607044   50754200    37.607044
## 2010-10-15 37.799988 37.808026 37.285485 37.558815   83974500    37.558815
## 2010-10-18 37.269406 37.623126 37.213132 37.574894   51898000    37.574894
## 2010-10-19 36.722739 36.843328 36.240393 36.385094   90101300    36.385094
## 2010-10-20 36.690582 37.205086 36.658425 36.963913   62292200    36.963913
## 2010-10-21 37.172932 37.381948 36.569997 36.963913   85422400    36.963913
## 2010-10-22 37.116659 37.148816 36.883527 37.004112   42843800    37.004112
## 2010-10-25 37.454311 37.695484 37.381958 37.406075   53950800    37.406075
## 2010-10-26 37.164898 37.430190 37.052350 37.373917   36715600    37.373917
## 2010-10-27 36.843328 36.843328 36.393136 36.738819   70436800    36.738819
## 2010-10-28 37.076460 37.108618 36.779013 36.971954   45927000    36.971954
## 2010-10-29 36.907648 37.084510 36.843337 37.076469   38056300    37.076469
## 2010-11-01 37.454312 37.679407 37.285491 37.486469   47366500    37.486469
## 2010-11-02 37.824102 37.984885 37.743712 37.952728   48355900    37.952728
## 2010-11-03 38.041163 38.209984 37.574895 38.185867   94125200    38.185867
## 2010-11-04 38.764683 39.054092 38.724484 39.054092   83567900    39.054092
## 2010-11-05 38.853117 39.070170 38.820960 38.981743   53781000    38.981743
## 2010-11-08 38.676253 38.853114 38.579784 38.820957   37106100    38.820957
## 2010-11-09 39.013891 39.086243 38.201940 38.330566   55351100    38.330566
## 2010-11-10 38.539586 38.676253 38.081355 38.611938   66304400    38.611938
## 2010-11-11 38.234100 38.266254 38.025081 38.234100   48410200    38.234100
## 2010-11-12 37.695478 37.888419 37.156858 37.309601   88808000    37.309601
## 2010-11-15 37.494496 37.687437 37.269402 37.293518   48585300    37.293518
## 2010-11-16 36.907634 36.947829 36.192152 36.312737  136332900    36.312737
## 2010-11-17 36.433339 36.690591 36.360987 36.497654   80352800    36.497654
## 2010-11-18 37.197046 37.438220 37.172931 37.365868   77989900    37.365868
## 2010-11-19 37.189014 37.422149 36.963920 37.389992   48175100    37.389992
## 2010-11-22 37.197053 37.446267 36.843332 37.277443   46793100    37.277443
## 2010-11-23 36.296673 36.369025 36.015301 36.095695   86768900    36.095695
## 2010-11-24 36.682536 36.947825 36.634300 36.931747   63287600    36.931747
## 2010-11-26 36.192163 36.377063 36.015301 36.015301   60387100    36.015301
## 2010-11-29 36.143931 36.360988 35.782169 36.296677   80428200    36.296677
## 2010-11-30 35.870592 36.296668 35.798240 35.999218   78842700    35.999218
## 2010-12-01 36.899604 37.108619 36.779015 37.028229   81889600    37.028229
## 2010-12-02 37.148814 37.767827 37.132735 37.759789   72593100    37.759789
## 2010-12-03 37.438224 37.952728 37.438224 37.896454   44688700    37.896454
## 2010-12-06 37.679397 37.888416 37.647243 37.832142   44988700    37.832142
## 2010-12-07 38.258224 38.274303 37.647251 37.655289   64406800    37.655289
## 2010-12-08 37.582925 37.679394 37.205085 37.414104   48924100    37.414104
## 2010-12-09 37.558810 37.590964 37.180971 37.285480   63131000    37.285480
## 2010-12-10 37.309604 37.454308 37.172940 37.454308   44844200    37.454308
## 2010-12-13 37.679402 37.880380 37.574895 37.695480   49177500    37.695480
## 2010-12-14 37.727634 37.896455 37.631166 37.751751   53611300    37.751751
## 2010-12-15 37.534682 37.590955 37.100571 37.140766   69038700    37.140766
## 2010-12-16 37.172933 37.293517 36.996070 37.245285   55441400    37.245285
## 2010-12-17 37.148825 37.317646 37.084514 37.301571   43610700    37.301571
## 2010-12-20 37.269403 37.309598 37.044308 37.132736   48887300    37.132736
## 2010-12-21 37.537036 37.804404 37.528932 37.674770   59666300    37.674770
## 2010-12-22 37.658560 37.844908 37.626151 37.804398   24942400    37.804398
## 2010-12-23 37.674761 37.780089 37.626148 37.763885   27545100    37.763885
## 2010-12-27 37.626153 37.715276 37.537032 37.642357   29293100    37.642357
## 2010-12-28 37.715280 37.739588 37.593751 37.674770   30330000    37.674770
## 2010-12-29 37.954443 38.181422 37.946337 38.157104   30891500    38.157104
## 2010-12-30 38.367879 38.416515 38.238172 38.351665   28376000    38.351665
## 2010-12-31 38.448929 38.651591 38.351653 38.619164   34328200    38.619164
## 2011-01-03 38.935329 39.162311 38.935329 38.992073   40116200    38.992073
## 2011-01-04 39.121763 39.170403 38.708335 39.170403   45176300    39.170403
## 2011-01-05 38.829946 39.154202 38.813732 39.073139   47527100    39.073139
## 2011-01-06 38.919116 38.943438 38.570541 38.659710   43977400    38.659710
## 2011-01-07 38.513798 38.602970 38.043625 38.303032   57124900    38.303032
## 2011-01-10 37.938227 37.978758 37.703139 37.905800   62556500    37.905800
## 2011-01-11 38.319223 38.416500 38.157094 38.311115   53337100    38.311115
## 2011-01-12 38.829944 39.081242 38.781304 39.081242   67254100    39.081242
## 2011-01-13 38.992063 39.000172 38.643485 38.740765   53294600    38.740765
## 2011-01-14 38.611070 38.862369 38.594857 38.854263   38685900    38.854263
## 2011-01-18 38.789403 38.878575 38.708340 38.797512   30565800    38.797512
## 2011-01-19 38.910998 38.919103 38.359759 38.497570   64940400    38.497570
## 2011-01-20 38.205738 38.213843 37.719349 38.076035   75797500    38.076035
## 2011-01-21 38.100361 38.157106 37.646398 37.678825   87318900    37.678825
## 2011-01-24 37.678824 37.978762 37.622079 37.970657   61839300    37.970657
## 2011-01-25 37.776098 37.857165 37.476161 37.743675   63557800    37.743675
## 2011-01-26 38.100354 38.221952 37.954437 38.076035   66604500    38.076035
## 2011-01-27 38.165214 38.221959 37.897699 37.946339   80518400    37.946339
## 2011-01-28 37.784204 37.792309 36.681725 36.746578  185092200    36.746578
## 2011-01-31 37.062727 37.273494 36.941129 37.135685   97695000    37.135685
## 2011-02-01 37.459949 38.084147 37.419418 38.035507  105876000    38.035507
## 2011-02-02 37.905799 38.213845 37.711246 37.751778   68880600    37.751778
## 2011-02-03 37.816634 37.905801 37.500479 37.703140   56934900    37.703140
## 2011-02-04 37.759883 37.824733 37.395092 37.695030   76698100    37.695030
## 2011-02-07 37.613972 37.905802 37.573437 37.743675   60078400    37.743675
## 2011-02-08 37.630185 37.784211 37.451846 37.759892   74244600    37.759892
## 2011-02-09 37.241069 37.322135 36.730363 36.892490  105680200    36.892490
## 2011-02-10 36.357470 36.722262 36.235876 36.543922  114356000    36.543922
## 2011-02-11 36.308837 37.038417 36.300729 36.989780  126541100    36.989780
## 2011-02-14 37.046519 37.062732 36.787112 36.803326   79051200    36.803326
## 2011-02-15 36.827649 37.005992 36.730372 36.876289   57068800    36.876289
## 2011-02-16 36.957350 37.241075 36.900605 37.184330   64667700    37.184330
## 2011-02-17 37.070837 37.354565 37.030305 37.314030   55294900    37.314030
## 2011-02-18 37.435631 37.638293 37.314034 37.541016   50410700    37.541016
## 2011-02-22 36.746586 37.022202 36.227770 36.341263  107176000    36.341263
## 2011-02-23 36.446642 36.624985 35.960256 36.373684   91843500    36.373684
## 2011-02-24 36.357470 36.527708 36.122386 36.462856   71568500    36.462856
## 2011-02-25 36.795223 36.965458 36.624988 36.900608   62718900    36.900608
## 2011-02-28 37.046518 37.241071 36.900601 37.119476   54078600    37.119476
## 2011-03-01 37.362677 37.403209 36.665522 36.738480   69711700    36.738480
## 2011-03-02 36.835743 37.305918 36.835743 37.241066   60123300    37.241066
## 2011-03-03 37.703144 38.043617 37.638294 37.978764   61309300    37.978764
## 2011-03-04 38.027396 38.221952 37.670712 38.019291   66742500    38.019291
## 2011-03-07 38.067931 38.108462 37.338351 37.484268   47781500    37.484268
## 2011-03-08 37.816631 38.205740 37.532903 37.986866   63985100    37.986866
## 2011-03-09 38.011182 38.165207 37.816629 38.059822   47005200    38.059822
## 2011-03-10 37.330240 37.386985 36.892490 36.933025   91093100    36.933025
## 2011-03-11 36.706046 37.435628 36.697940 37.314030   75103800    37.314030
## 2011-03-14 37.168111 37.549116 37.054621 37.532902   59912300    37.532902
## 2011-03-15 36.073739 37.103259 36.073739 36.908703  103041800    36.908703
## 2011-03-16 36.900608 37.435634 35.871088 36.154812  106325500    36.154812
## 2011-03-17 36.689834 36.787114 36.389896 36.600666   68572300    36.600666
## 2011-03-18 36.997884 37.038416 36.649306 36.665520   81209800    36.665520
## 2011-03-21 37.354563 37.492372 37.281605 37.370773   49424900    37.370773
## 2011-03-22 37.468054 37.516691 37.314030 37.484268   38871500    37.484268
## 2011-03-23 37.565336 38.059831 37.443738 37.978764   53485200    37.978764
## 2011-03-24 38.165214 38.465152 37.994976 38.416512   53767500    38.416512
## 2011-03-25 38.424613 38.619166 38.286802 38.375973   44773600    38.375973
## 2011-03-28 38.335448 38.432725 38.157105 38.181423   36577100    38.181423
## 2011-03-29 38.351653 38.627273 38.205736 38.619164   56950300    38.619164
## 2011-03-30 38.967743 39.235257 38.919102 39.113659   70036900    39.113659
## 2011-03-31 39.348758 39.518993 39.292013 39.454140   73140800    39.454140
## 2011-04-01 39.916206 40.175612 39.721650 40.086441   82168900    40.086441
## 2011-04-04 40.272892 40.443127 40.135081 40.426914   45858900    40.426914
## 2011-04-05 40.248584 40.556627 40.159412 40.345860   69539700    40.345860
## 2011-04-06 40.702532 40.775490 40.483658 40.564724   69303000    40.564724
## 2011-04-07 40.589039 40.775487 40.289101 40.524189   48786300    40.524189
## 2011-04-08 40.751172 40.759277 40.370167 40.564724   54649200    40.564724
## 2011-04-11 40.459337 40.516083 40.005374 40.086441   52980300    40.086441
## 2011-04-12 39.770285 39.835135 39.275791 39.332535   72883500    39.332535
## 2011-04-13 40.013486 40.086444 39.454138 39.656799   53492200    39.656799
## 2011-04-14 39.575742 39.851362 39.421721 39.778404   57128000    39.778404
## 2011-04-15 39.770297 39.843256 39.527101 39.827042   54453100    39.827042
## 2011-04-18 39.032602 39.065026 38.554321 38.829941   93596400    38.829941
## 2011-04-19 39.154194 39.405496 39.113662 39.389282   50803200    39.389282
## 2011-04-20 40.256676 40.337739 40.078333 40.321529   49837100    40.321529
## 2011-04-21 40.564721 40.686317 40.362060 40.678211   30217500    40.678211
## 2011-04-25 40.621481 40.653907 40.232370 40.345860   33470800    40.345860
## 2011-04-26 40.467441 40.718743 40.256674 40.694424   39700000    40.694424
## 2011-04-27 40.637688 40.670111 40.021595 40.621475   60926500    40.621475
## 2011-04-28 40.256681 40.345852 40.037806 40.289108   45836600    40.289108
## 2011-04-29 40.321533 40.645789 40.256679 40.532299   38277100    40.532299
## 2011-05-02 40.726857 40.880878 40.402597 40.540405   50952000    40.540405
## 2011-05-03 39.981057 40.005374 39.381180 39.640587   83696700    39.640587
## 2011-05-04 39.478462 39.510889 38.805624 38.983967   82919100    38.983967
## 2011-05-05 38.667814 38.983965 38.319236 38.611069   79810600    38.611069
## 2011-05-06 39.210936 39.608154 38.813721 39.113659   92669900    39.113659
## 2011-05-09 39.105560 39.283900 38.854258 39.186623   48367900    39.186623
## 2011-05-10 39.292006 39.648689 39.259579 39.648689   54996900    39.648689
## 2011-05-11 39.364968 39.381181 38.530001 38.773197   82957400    38.773197
## 2011-05-12 38.457044 38.959646 38.221959 38.886688   71004700    38.886688
## 2011-05-13 38.700240 38.781303 37.792314 38.035507   83193600    38.035507
## 2011-05-16 37.905806 38.440832 37.840956 37.978764   72402600    37.978764
## 2011-05-17 37.759883 38.124672 37.613967 38.100353   60103700    38.100353
## 2011-05-18 38.351662 38.781303 38.197637 38.716450   49432300    38.716450
## 2011-05-19 38.627271 38.675907 38.246266 38.465141   37836800    38.465141
## 2011-05-20 38.375978 38.408405 37.954443 38.157104   60130900    38.157104
## 2011-05-23 37.232968 37.451843 37.103264 37.362671   59786200    37.362671
## 2011-05-24 37.703138 37.849055 37.581544 37.735565   46599000    37.735565
## 2011-05-25 37.508584 37.946334 37.500476 37.816631   43400000    37.816631
## 2011-05-26 37.962562 38.327351 37.897709 38.303032   47128400    38.303032
## 2011-05-27 38.562431 38.805624 38.521898 38.708347   38849400    38.708347
## 2011-05-31 39.373076 39.397393 39.032606 39.340649   58762300    39.340649
## 2011-06-01 39.259581 39.364966 38.578639 38.635384   55372400    38.635384
## 2011-06-02 38.902898 39.073133 38.594852 39.000175   38988300    39.000175
## 2011-06-03 38.546207 39.008275 38.529994 38.805614   42955600    38.805614
## 2011-06-06 38.765090 38.765090 38.132787 38.181423   51477600    38.181423
## 2011-06-07 38.675911 38.797510 38.465145 38.481358   58042500    38.481358
## 2011-06-08 38.343546 38.448931 38.092248 38.205738   63855900    38.205738
## 2011-06-09 38.189537 38.619178 38.076046 38.505688   40819000    38.505688
## 2011-06-10 38.076046 38.076046 37.597765 37.670723   61946000    37.670723
## 2011-06-13 37.849056 37.946335 37.492372 37.605862   37673300    37.605862
## 2011-06-14 38.116572 38.319233 38.076040 38.173317   46392600    38.173317
## 2011-06-15 37.678829 37.873385 37.265400 37.354572   66901900    37.354572
## 2011-06-16 37.119479 37.403203 36.779006 37.070839   66078600    37.070839
## 2011-06-17 37.346456 37.362669 37.038410 37.119476   61268200    37.119476
## 2011-06-20 36.941139 37.119482 36.860075 37.062737   40025300    37.062737
## 2011-06-21 37.395097 37.792312 37.314031 37.743675   48523000    37.743675
## 2011-06-22 37.466112 37.728117 37.326926 37.367863   40580400    37.367863
## 2011-06-23 36.868429 37.335117 36.655554 37.318745   63556800    37.318745
## 2011-06-24 37.564366 37.580742 37.179551 37.253239   44225900    37.253239
## 2011-06-27 37.236870 37.769060 37.179557 37.687183   53450600    37.687183
## 2011-06-28 37.719931 38.211181 37.613492 38.202995   45598200    38.202995
## 2011-06-29 38.301244 38.636932 38.071994 38.555058   55289100    38.555058
## 2011-06-30 38.759748 38.988998 38.645123 38.972622   46188400    38.972622
## 2011-07-01 38.956251 39.537565 38.276685 39.431126   44635400    39.431126
## 2011-07-05 39.529374 39.562125 39.283749 39.414749   51374800    39.414749
## 2011-07-06 39.242811 39.316499 38.980811 39.152748   56118500    39.152748
## 2011-07-07 39.603066 39.815944 39.529379 39.693130   49542300    39.693130
## 2011-07-08 39.242802 39.308301 38.849802 39.242802   50271000    39.242802
## 2011-07-11 38.563245 38.628747 38.088370 38.145683   58197700    38.145683
## 2011-07-12 37.867303 38.153864 37.728116 37.760864   46966300    37.760864
## 2011-07-13 38.104744 38.702433 38.014681 38.374931   59429900    38.374931
## 2011-07-14 38.579621 38.620558 37.883683 37.965557   53279700    37.965557
## 2011-07-15 38.333995 38.350370 37.957370 38.202995   35171100    38.202995
## 2011-07-18 37.850928 37.932804 37.498863 37.760864   46489100    37.760864
## 2011-07-19 38.071998 38.350374 37.957373 38.309437   37413900    38.309437
## 2011-07-20 38.505927 38.563239 38.325804 38.424053   29604100    38.424053
## 2011-07-21 38.620559 39.111812 38.505934 39.038124   45701000    39.038124
## 2011-07-22 39.046313 39.120000 38.825249 39.013565   31952700    39.013565
## 2011-07-25 38.759746 39.087248 38.677872 38.931683   32505900    38.931683
## 2011-07-26 39.169126 39.283751 38.931687 39.062687   29118300    39.062687
## 2011-07-27 38.923497 38.923497 38.276682 38.374931   54477400    38.374931
## 2011-07-28 38.555063 38.702439 38.268502 38.407688   44734300    38.407688
## 2011-07-29 38.112931 38.686059 38.006492 38.571434   48432100    38.571434
## 2011-08-01 39.029939 39.046315 38.178439 38.538689   48466100    38.538689
## 2011-08-02 38.219373 38.284871 37.326932 37.351494   73705600    37.351494
## 2011-08-03 37.335118 37.359683 36.565492 37.220493   73967200    37.220493
## 2011-08-04 36.221615 36.319865 35.034423 35.091736  139352000    35.091736
## 2011-08-05 35.329177 35.419237 33.830858 34.862488  154381700    34.862488
## 2011-08-08 33.347790 33.765356 31.693909 31.955910  175336300    31.955910
## 2011-08-09 32.750096 33.847224 31.775781 33.830849  191406700    33.830849
## 2011-08-10 32.799225 33.192226 32.029596 32.037785  122586600    32.037785
## 2011-08-11 32.791046 34.223863 32.553607 33.806301  121153900    33.806301
## 2011-08-12 33.830851 34.027352 33.429664 33.789913   64752000    33.789913
## 2011-08-15 34.313919 34.657797 34.305733 34.575920   65966400    34.575920
## 2011-08-16 34.207486 34.526799 33.847236 34.281174   61578100    34.281174
## 2011-08-17 34.510419 34.780606 34.191102 34.526791   45131600    34.526791
## 2011-08-18 33.265928 33.315051 32.455361 32.897488  106805200    32.897488
## 2011-08-19 32.438972 33.355977 32.430786 32.488098   72408800    32.488098
## 2011-08-22 33.028481 33.167667 32.348914 32.455353   51908100    32.455353
## 2011-08-23 32.881108 33.626173 32.537233 33.593422   73244900    33.593422
## 2011-08-24 33.069413 33.462414 32.733725 33.265915   48121000    33.265915
## 2011-08-25 33.257732 33.388733 32.438980 32.619106   57125600    32.619106
## 2011-08-26 32.651860 33.192237 32.119670 33.175861   74396200    33.175861
## 2011-08-29 33.798105 34.256607 33.773543 34.248421   46759900    34.248421
## 2011-08-30 34.051921 34.510424 33.871795 34.297546   51881500    34.297546
## 2011-08-31 34.919801 35.149050 34.723299 35.001675   74774800    35.001675
## 2011-09-01 35.099929 35.427431 34.796991 34.813366   76392600    34.813366
## 2011-09-02 34.272989 34.444926 33.855422 34.027363   69255200    34.027363
## 2011-09-06 32.905660 33.699851 32.889284 33.675289   66073000    33.675289
## 2011-09-07 34.248423 34.698736 34.060107 34.674171   49845600    34.674171
## 2011-09-08 34.076474 34.477665 33.814473 33.904537   59110100    33.904537
## 2011-09-09 33.380543 34.248422 32.627289 32.758289   76809100    32.758289
## 2011-09-12 32.152414 32.725542 31.914976 32.692791   69385300    32.692791
## 2011-09-13 32.529043 32.782857 32.258856 32.741920   68090600    32.741920
## 2011-09-14 32.512658 32.930224 31.841281 32.651848   82237200    32.651848
## 2011-09-15 33.069415 33.134917 32.586351 33.126728   62836900    33.126728
## 2011-09-16 33.282285 33.421471 32.872909 33.184032   46199300    33.184032
## 2011-09-19 32.013230 32.365294 31.865854 32.201546   67923900    32.201546
## 2011-09-20 32.324361 32.553611 31.947735 31.964111   53481200    31.964111
## 2011-09-21 31.775782 31.972281 30.752341 30.776903  105520500    30.776903
## 2011-09-22 29.319531 29.556967 28.418902 28.615404  159906700    28.615404
## 2011-09-23 28.975660 29.417787 28.762785 29.376850  102748900    29.376850
## 2011-09-26 29.123028 29.859906 28.730027 29.818966   94311200    29.818966
## 2011-09-27 30.793286 31.309101 30.613159 30.768724  112508800    30.768724
## 2011-09-28 30.621349 30.834223 29.810782 29.843533   80061600    29.843533
## 2011-09-29 30.637720 30.735973 29.794406 30.252909   74702700    30.252909
## 2011-09-30 29.483276 29.769842 28.680899 28.738211  102866200    28.738211
## 2011-10-03 28.713651 29.139403 28.075025 28.132338  107059200    28.132338
## 2011-10-04 27.780280 28.607220 27.362715 28.566282  111600000    28.566282
## 2011-10-05 28.459839 29.270406 28.238779 29.229469   81013800    29.229469
## 2011-10-06 29.294969 30.220161 29.163969 30.195599  140578300    30.195599
## 2011-10-07 30.375716 30.490344 29.638841 29.835340   76503200    29.835340
## 2011-10-10 30.670467 31.219033 30.645905 31.169907   69649800    31.169907
## 2011-10-11 30.768725 31.341849 30.703223 31.186287   72086900    31.186287
## 2011-10-12 31.841291 32.520857 31.824916 32.062355  101798900    32.062355
## 2011-10-13 31.800346 31.939532 31.350033 31.775784   57089300    31.775784
## 2011-10-14 32.258856 32.430793 32.062353 32.414417   72966500    32.414417
## 2011-10-17 32.070537 32.144224 31.284535 31.317286   63743000    31.317286
## 2011-10-18 31.374605 32.307982 30.891541 32.152420   85366100    32.152420
## 2011-10-19 31.947723 32.103285 31.497410 31.538347   52363200    31.538347
## 2011-10-20 31.284536 31.292725 30.400284 30.932472   83654600    30.932472
## 2011-10-21 31.431910 31.849476 31.415535 31.816725   69672700    31.816725
## 2011-10-24 32.209723 33.159475 32.176972 33.061226   87934300    33.061226
## 2011-10-25 32.668224 32.766472 32.283408 32.406223   76772100    32.406223
## 2011-10-26 33.069424 33.167673 32.357109 33.003925   62940200    33.003925
## 2011-10-27 34.461290 35.386482 34.166540 35.009853  156301800    35.009853
## 2011-10-28 34.403979 34.927981 34.338478 34.715107   59840500    34.715107
## 2011-10-31 34.060100 34.125602 33.372348 33.413288   69667800    33.413288
## 2011-11-01 32.168792 33.003920 32.045977 32.602730   91614700    32.602730
## 2011-11-02 33.519727 33.683478 33.093975 33.601604   64629600    33.601604
## 2011-11-03 33.806294 34.084670 33.298665 33.945480   58912200    33.945480
## 2011-11-04 33.658920 33.781731 33.200417 33.724419   50083800    33.724419
## 2011-11-07 33.675290 34.084667 33.544290 34.010979   44450000    34.010979
## 2011-11-08 34.068300 34.453114 33.650733 34.412174   70276800    34.412174
## 2011-11-09 33.077595 33.208595 32.324341 32.398029  111322800    32.398029
## 2011-11-10 32.905664 32.995727 32.381663 32.610916   48436000    32.610916
## 2011-11-11 33.053041 33.486983 33.053041 33.396919   48885300    33.396919
## 2011-11-14 33.159475 33.241349 32.750099 32.938412   47272600    32.938412
## 2011-11-15 32.897482 33.323234 32.635482 33.143108   45852500    33.143108
## 2011-11-16 32.545416 32.889290 32.250664 32.250664   64823000    32.250664
## 2011-11-17 32.422605 32.504483 31.259978 31.431915  102951000    31.431915
## 2011-11-18 31.890409 31.898594 31.374594 31.554720   51240500    31.554720
## 2011-11-21 30.711408 30.834223 30.195597 30.539471   59896200    30.539471
## 2011-11-22 30.662284 30.834221 30.285659 30.645908   46355600    30.645908
## 2011-11-23 30.121911 30.146473 29.655222 29.655222   65700800    29.655222
## 2011-11-25 29.663404 30.072781 29.556965 29.556965   30076300    29.556965
## 2011-11-28 30.883353 30.997979 30.670476 30.973417   79397700    30.973417
## 2011-11-29 30.883351 31.292727 30.801474 30.834225   52655900    30.834225
## 2011-11-30 32.340727 32.807416 32.168790 32.758289   92375400    32.758289
## 2011-12-01 32.774667 33.036667 32.594543 32.660042   46229200    32.660042
## 2011-12-02 33.069416 33.102167 32.545415 32.561790   47176100    32.561790
## 2011-12-05 33.159481 33.233169 32.848354 33.093979   59551400    33.093979
## 2011-12-06 32.635479 32.889290 32.414415 32.643665   43432800    32.643665
## 2011-12-07 32.561795 32.881109 32.348918 32.774670   73276600    32.774670
## 2011-12-08 32.283419 32.389858 31.505604 31.595667   86315100    31.595667
## 2011-12-09 31.693910 32.324351 31.685724 32.234287   51866700    32.234287
## 2011-12-12 31.309103 31.350040 30.834225 31.022537   82239000    31.022537
## 2011-12-13 31.309103 31.481040 30.637722 30.735975   59290300    30.735975
## 2011-12-14 30.621349 30.785096 30.277471 30.293846   66643900    30.293846
## 2011-12-15 30.899723 30.907909 30.392094 30.490347   82103600    30.490347
## 2011-12-16 30.801471 30.981598 30.596783 30.719597   64381200    30.719597
## 2011-12-19 30.482164 30.523100 29.868099 29.925411   56108700    29.925411
## 2011-12-20 30.716464 31.245487 30.691667 31.179361   71387400    31.179361
## 2011-12-21 31.104966 31.286815 30.749528 31.278551   47572400    31.278551
## 2011-12-22 31.319883 31.716651 31.311619 31.691854   58644600    31.691854
## 2011-12-23 31.675314 31.824102 31.543058 31.815838   21521600    31.815838
## 2011-12-27 31.559593 31.658784 31.443870 31.509996   26198500    31.509996
## 2011-12-28 31.352942 31.394272 30.939642 30.980972   39326100    30.980972
## 2011-12-29 31.138030 31.377745 31.104969 31.336416   32240500    31.336416
## 2011-12-30 31.311618 31.526532 31.295086 31.361212   33432400    31.361212
## 2012-01-03 32.220878 32.460592 32.146483 32.320068   72557500    32.320068
## 2012-01-04 32.022491 32.212608 31.906763 32.138214   46225600    32.138214
## 2012-01-05 31.939824 32.096880 31.683580 31.997686   54383000    31.997686
## 2012-01-06 31.964625 31.964625 31.576125 31.592657   50333100    31.592657
## 2012-01-09 31.890230 31.989422 31.716642 31.923292   45814800    31.923292
## 2012-01-10 32.650703 32.799491 32.534980 32.617638   59620000    32.617638
## 2012-01-11 32.427527 32.658974 32.336600 32.642445   47747100    32.642445
## 2012-01-12 32.807766 32.857362 32.551521 32.774704   43328400    32.774704
## 2012-01-13 32.534989 32.551521 32.187815 32.477127   57195200    32.477127
## 2012-01-17 33.179734 33.270661 32.964820 33.097076   70477600    33.097076
## 2012-01-18 33.270659 33.948471 33.188000 33.931938   72674100    33.931938
## 2012-01-19 34.105523 34.287377 34.006332 34.229515   68477400    34.229515
## 2012-01-20 34.146846 34.295635 33.989790 34.204708   43400800    34.204708
## 2012-01-23 34.370033 34.700672 34.312168 34.535351   62223900    34.535351
## 2012-01-24 34.221247 34.584949 34.080723 34.584949   39864800    34.584949
## 2012-01-25 34.320442 35.064381 34.212983 34.973457   64939200    34.973457
## 2012-01-26 35.221439 35.345426 34.700680 34.832935   68097200    34.832935
## 2012-01-27 34.849461 35.138770 34.832928 35.014782   51983800    35.014782
## 2012-01-30 34.312173 34.626282 34.179917 34.510559   43104400    34.510559
## 2012-01-31 34.940391 35.171838 34.576689 34.808136   69525300    34.808136
## 2012-02-01 35.337159 35.750459 35.271029 35.576874   82799300    35.576874
## 2012-02-02 35.750465 35.998444 35.659538 35.676071   71522900    35.676071
## 2012-02-03 36.147223 36.320808 35.940573 36.271214   72000800    36.271214
## 2012-02-06 35.783520 35.965370 35.709126 35.965370   40208500    35.965370
## 2012-02-07 35.800056 36.105898 35.576874 36.039768   47240100    36.039768
## 2012-02-08 36.262948 36.453065 36.130692 36.296013   53168200    36.296013
## 2012-02-09 36.345602 36.370399 36.048026 36.279472   44004500    36.279472
## 2012-02-10 35.494217 35.543814 35.328899 35.477684   62254000    35.477684
## 2012-02-13 36.064565 36.097626 35.783521 36.056297   47447900    36.056297
## 2012-02-14 35.808318 35.915777 35.527274 35.758720   42652500    35.758720
## 2012-02-15 36.188548 36.196816 35.775248 35.857910   51791500    35.857910
## 2012-02-16 35.717391 36.271214 35.609935 36.246414   52445100    36.246414
## 2012-02-17 36.378664 36.453058 36.188547 36.312538   50694200    36.312538
## 2012-02-21 36.411736 36.436537 36.105895 36.163757   46318500    36.163757
## 2012-02-22 36.213356 36.287751 36.089365 36.229889   40179600    36.229889
## 2012-02-23 36.155493 36.246415 35.948843 36.163757   36443800    36.163757
## 2012-02-24 36.337340 36.585319 36.312543 36.527458   37876800    36.527458
## 2012-02-27 36.014969 36.296013 35.857916 36.163757   42999300    36.163757
## 2012-02-28 36.395212 36.676256 36.304285 36.667992   40977700    36.667992
## 2012-02-29 36.899436 37.122619 36.543997 36.643192   72109200    36.643192
## 2012-03-01 36.767178 37.089551 36.717580 36.990360   51045600    36.990360
## 2012-03-02 36.866364 36.990356 36.717576 36.899429   32352400    36.899429
## 2012-03-05 36.560532 36.568800 36.105902 36.262955   50657400    36.262955
## 2012-03-06 35.337156 35.378486 34.899059 35.047848  103961400    35.047848
## 2012-03-07 35.337158 35.502479 35.171837 35.469414   45233800    35.469414
## 2012-03-08 36.014975 36.279486 35.874455 36.213360   40673600    36.213360
## 2012-03-09 36.213355 36.403473 36.114161 36.196823   36487700    36.196823
## 2012-03-12 35.948838 35.998431 35.667794 35.800049   31488700    35.800049
## 2012-03-13 36.155502 36.808514 36.056307 36.775452   61336000    36.775452
## 2012-03-14 36.585323 36.676249 36.105896 36.196823   59777900    36.196823
## 2012-03-15 36.395204 36.519195 36.172021 36.486130   35060300    36.486130
## 2012-03-16 36.428277 36.577065 36.312553 36.444809   36520100    36.444809
## 2012-03-19 36.130698 36.453071 36.081104 36.304283   30002500    36.304283
## 2012-03-20 35.676071 35.766997 35.461157 35.676071   53828200    35.676071
## 2012-03-21 35.692593 35.824849 35.494208 35.742191   49696000    35.742191
## 2012-03-22 35.386753 35.411550 35.031315 35.196636   73056000    35.196636
## 2012-03-23 35.237964 35.502476 35.064376 35.461147   31693200    35.461147
## 2012-03-26 35.692596 36.097629 35.626467 36.081100   67482700    36.081100
## 2012-03-27 36.081101 36.122431 35.857918 35.890980   35627500    35.890980
## 2012-03-28 35.717395 35.791789 35.138774 35.287563   55592200    35.287563
## 2012-03-29 34.899072 35.279308 34.642825 35.246243   53897700    35.246243
## 2012-03-30 35.585134 35.593402 35.237964 35.502476   48514500    35.502476
## 2012-04-02 35.461154 36.147230 35.370227 35.990177   62056300    35.990177
## 2012-04-03 36.048036 36.163759 35.543809 35.783524   58379300    35.783524
## 2012-04-04 35.180103 35.237965 34.915592 35.138771   49766700    35.138771
## 2012-04-05 35.147038 36.246415 35.130506 35.328892   45579600    35.328892
## 2012-04-09 34.791603 34.973456 34.692412 34.808136   42343200    34.808136
## 2012-04-10 34.692417 34.791608 34.031134 34.130329   81350300    34.130329
## 2012-04-11 34.618019 34.717210 34.419633 34.502296   45581000    34.502296
## 2012-04-12 34.675873 35.395014 34.667605 35.386749   64008500    35.386749
## 2012-04-13 35.196638 35.295829 34.750273 34.849464   64221100    34.849464
## 2012-04-16 35.097444 35.138774 34.518823 34.675880   62839600    34.675880
## 2012-04-17 34.857725 35.155302 34.700673 35.072643   51806300    35.072643
## 2012-04-18 34.766801 35.006512 34.708940 34.907322   40456400    34.907322
## 2012-04-19 34.841202 35.113978 34.568422 34.750275   42080500    34.750275
## 2012-04-20 34.973457 35.171840 34.932125 34.989990   43456900    34.989990
## 2012-04-23 34.361765 34.394830 33.948465 34.320435   63093800    34.320435
## 2012-04-24 34.411365 34.618015 34.328703 34.394833   50567200    34.394833
## 2012-04-25 34.675877 34.725471 34.494024 34.708942   45739900    34.708942
## 2012-04-26 34.584953 34.973456 34.543624 34.923859   35715200    34.923859
## 2012-04-27 34.948657 35.047852 34.758539 34.973457   40038100    34.973457
## 2012-04-30 34.973457 34.981722 34.775072 34.899063   39795800    34.899063
## 2012-05-01 34.923843 35.444602 34.832916 35.130493   37657900    35.130493
## 2012-05-02 35.023040 35.122234 34.841190 35.064369   35379800    35.064369
## 2012-05-03 35.080911 35.105711 34.642814 34.799866   45671000    34.799866
## 2012-05-04 34.609751 34.667613 34.130325 34.188187   58478500    34.188187
## 2012-05-07 34.130326 34.361774 34.088997 34.312176   44100000    34.312176
## 2012-05-08 33.998072 34.006336 33.411183 33.766621   66820200    33.766621
## 2012-05-09 33.154933 33.559964 32.956547 33.328518   86829800    33.328518
## 2012-05-10 33.675690 33.675690 33.411175 33.469040   48337700    33.469040
## 2012-05-11 33.072273 33.493840 33.006146 33.039211   56290000    33.039211
## 2012-05-14 32.460588 32.518450 32.278735 32.287003   63048400    32.287003
## 2012-05-15 32.311796 32.427520 31.881964 32.005955   61529000    32.005955
## 2012-05-16 31.832373 32.030759 31.510000 31.551329   82693600    31.551329
## 2012-05-17 31.534796 31.600922 31.088431 31.121496   74320200    31.121496
## 2012-05-18 31.212417 31.295079 30.724723 30.823917   75155600    30.823917
## 2012-05-21 30.997507 31.609193 30.964442 31.559595   62509500    31.559595
## 2012-05-22 31.526538 31.749721 31.030580 31.228962   52847900    31.228962
## 2012-05-23 30.898313 31.038833 30.327957 31.014036   72030300    31.014036
## 2012-05-24 31.104968 31.113233 30.559412 30.856989   57707700    30.856989
## 2012-05-25 30.732998 30.890052 30.625539 30.708202   47685000    30.708202
## 2012-05-29 31.534793 31.708378 31.303342 31.576122   71172100    31.576122
## 2012-05-30 30.972707 31.121496 30.832183 31.030569   80092500    31.030569
## 2012-05-31 31.088436 31.319882 30.766062 31.162830   66528900    31.162830
## 2012-06-01 30.526350 30.683403 30.286635 30.327965   79955400    30.327965
## 2012-06-04 30.377562 30.575947 30.228774 30.460220   57106800    30.460220
## 2012-06-05 30.468483 30.625535 30.294898 30.542877   58858400    30.542877
## 2012-06-06 30.881784 31.476936 30.873515 31.435604   55300800    31.435604
## 2012-06-07 32.105151 32.171277 31.518265 31.625721   49633200    31.625721
## 2012-06-08 31.154560 31.402543 31.038836 31.352945   39729500    31.352945
## 2012-06-11 31.633992 31.667057 30.873519 30.898319   51800800    30.898319
## 2012-06-12 31.336414 31.567861 31.179361 31.543064   54033500    31.543064
## 2012-06-13 31.493462 31.791039 31.352942 31.427336   43926900    31.427336
## 2012-06-14 31.386008 31.757976 31.220687 31.650520   46464200    31.650520
## 2012-06-15 31.799308 32.237405 31.724914 32.229141   63027500    32.229141
## 2012-06-18 32.022497 32.377931 31.939834 32.295273   37552500    32.295273
## 2012-06-19 32.568046 33.022675 32.518448 32.816025   50142100    32.816025
## 2012-06-20 32.816031 32.915222 32.386198 32.708572   58814400    32.708572
## 2012-06-21 32.481050 32.522874 31.468890 31.510714   58815500    31.510714
## 2012-06-22 31.761664 31.778395 31.435432 31.611095   33162400    31.611095
## 2012-06-25 31.142650 31.151017 30.849878 31.025541   44292700    31.025541
## 2012-06-26 31.234666 31.418696 31.000449 31.293221   35913100    31.293221
## 2012-06-27 31.485613 31.602722 31.385234 31.493980   28255200    31.493980
## 2012-06-28 31.209575 31.376871 30.992085 31.343414   34183500    31.343414
## 2012-06-29 32.330479 32.782183 32.280288 32.731995   78076300    32.731995
## 2012-07-02 32.673440 32.782183 32.447587 32.731995   38509900    32.731995
## 2012-07-03 33.041502 33.392827 32.941123 33.384464   36099700    33.384464
## 2012-07-05 33.091685 33.242254 32.849101 33.033131   33512700    33.033131
## 2012-07-06 32.539601 32.614885 32.297017 32.430855   49424200    32.430855
## 2012-07-09 32.288643 32.372295 32.112980 32.313740   34530600    32.313740
## 2012-07-10 32.614883 32.639976 31.836943 31.954052   48650000    31.954052
## 2012-07-11 32.079518 32.271915 31.895492 32.121346   37130100    32.121346
## 2012-07-12 31.510718 31.778399 31.326691 31.586002   45106800    31.586002
## 2012-07-13 31.853678 32.230097 31.828580 32.196640   37182200    32.196640
## 2012-07-16 32.012600 32.196630 31.853668 32.121346   26278800    32.121346
## 2012-07-17 32.322108 32.581423 31.962416 32.547962   40019400    32.547962
## 2012-07-18 32.079517 32.547954 32.062790 32.464306   47417000    32.464306
## 2012-07-19 32.631611 32.824008 32.514503 32.765450   44699700    32.765450
## 2012-07-20 32.363930 32.447581 32.163173 32.280281   43769200    32.280281
## 2012-07-23 31.360143 31.594359 31.075735 31.435427   55593300    31.435427
## 2012-07-24 31.585994 31.594360 31.100829 31.301586   46775500    31.301586
## 2012-07-25 31.527445 31.652920 31.259767 31.452160   34494400    31.452160
## 2012-07-26 31.945687 32.213364 31.811848 32.163177   50710800    32.163177
## 2012-07-27 32.522863 33.125136 32.422481 33.066582   50860600    33.066582
## 2012-07-30 32.840730 33.049854 32.798907 32.874191   41406700    32.874191
## 2012-07-31 33.033130 33.166969 32.723625 32.723625   58788800    32.723625
## 2012-08-01 33.074951 33.836160 32.740352 32.782177   49853100    32.782177
## 2012-08-02 32.414126 32.706897 32.154812 32.397396   50858700    32.397396
## 2012-08-03 33.066586 33.476468 33.024762 33.401184   60512600    33.401184
## 2012-08-06 33.443018 33.760887 33.443018 33.610317   37181300    33.610317
## 2012-08-07 33.660500 33.944908 33.652134 33.702324   43260000    33.702324
## 2012-08-08 33.585208 33.911440 33.551747 33.769234   36569300    33.769234
## 2012-08-09 33.886352 34.112206 33.852894 33.911449   34528300    33.911449
## 2012-08-10 33.777609 34.112205 33.677227 34.070381   32246700    34.070381
## 2012-08-13 33.852885 33.953263 33.576841 33.769234   40396800    33.769234
## 2012-08-14 33.961643 34.011834 33.702332 33.760887   26731300    33.760887
## 2012-08-15 33.668866 33.794342 33.601945 33.710690   18836100    33.710690
## 2012-08-16 33.802697 34.078742 33.635398 34.020184   37695800    34.020184
## 2012-08-17 33.869629 33.894722 33.660505 33.852898   46358100    33.852898
## 2012-08-20 33.635399 33.852889 33.551751 33.836159   28711200    33.836159
## 2012-08-21 34.020186 34.162392 33.685591 33.785969   27937400    33.785969
## 2012-08-22 33.585221 33.877992 33.468109 33.802708   36551000    33.802708
## 2012-08-23 33.719055 33.769243 33.392820 33.493202   39512000    33.493202
## 2012-08-24 33.350999 33.635407 33.208797 33.501568   34421500    33.501568
## 2012-08-27 33.334267 33.367727 33.133511 33.158604   23179600    33.158604
## 2012-08-28 33.116784 33.242260 33.041500 33.091690   24377800    33.091690
## 2012-08-29 33.125144 33.141874 32.824009 32.932751   31372600    32.932751
## 2012-08-30 32.723625 32.723625 32.497771 32.547962   36609900    32.547962
## 2012-08-31 32.790546 33.008033 32.581423 32.857464   41552000    32.857464
## 2012-09-04 32.874196 32.874196 32.564694 32.673439   32627400    32.673439
## 2012-09-05 32.539599 32.598152 32.355568 32.506138   33041200    32.506138
## 2012-09-06 32.698533 33.334267 32.690170 33.225525   47868700    33.225525
## 2012-09-07 33.677226 34.011825 33.635402 33.995094   59898600    33.995094
## 2012-09-10 33.802711 33.911456 33.535033 33.560127   37361500    33.560127
## 2012-09-11 33.752513 34.062018 33.719055 33.961636   32692200    33.961636
## 2012-09-12 34.162392 34.237677 33.978363 34.112202   44014400    34.112202
## 2012-09-13 33.970002 35.141091 33.894717 35.032349   95670600    35.032349
## 2012-09-14 35.392042 35.835383 35.300028 35.442230   85091000    35.442230
## 2012-09-17 35.266557 35.333478 34.973786 35.057434   47652400    35.057434
## 2012-09-18 35.049088 35.182926 34.898518 35.074181   37259800    35.074181
## 2012-09-19 35.082545 35.132736 34.940342 35.074181   39322800    35.074181
## 2012-09-20 34.672658 34.890145 34.471898 34.865051   46217400    34.865051
## 2012-09-21 35.157819 35.174549 34.906872 34.948696   49929300    34.948696
## 2012-09-24 34.806489 34.965421 34.706111 34.915234   29068900    34.915234
## 2012-09-25 34.973796 35.023984 34.388251 34.396614   49642600    34.396614
## 2012-09-26 34.287873 34.346427 34.011829 34.237682   44745200    34.237682
## 2012-09-27 34.655923 34.898507 34.496991 34.781399   40566600    34.781399
## 2012-09-28 34.697753 34.731213 34.463536 34.572281   55360900    34.572281
## 2012-10-01 34.873407 35.216368 34.823219 34.915234   40299700    34.915234
## 2012-10-02 35.107641 35.149464 34.789772 34.965435   36829800    34.965435
## 2012-10-03 34.973797 34.990528 34.672659 34.731213   41571300    34.731213
## 2012-10-04 34.848316 35.115994 34.756301 35.090900   44450900    35.090900
## 2012-10-05 35.266563 35.408768 34.965424 35.090900   53557500    35.090900
## 2012-10-08 34.655923 34.831586 34.605733 34.781399   33006200    34.781399
## 2012-10-09 34.739583 34.764679 34.379889 34.522095   44369700    34.522095
## 2012-10-10 34.572284 34.580647 34.229318 34.312969   51701800    34.312969
## 2012-10-11 34.689387 34.814859 34.614102 34.630833   41911800    34.630833
## 2012-10-12 34.589013 34.773043 34.446811 34.522095   35969600    34.522095
## 2012-10-15 34.614105 34.814862 34.471900 34.722847   35889600    34.722847
## 2012-10-16 34.948700 35.182920 34.940336 35.082539   54306500    35.082539
## 2012-10-17 35.182922 35.433870 35.065811 35.358585   58925200    35.358585
## 2012-10-18 35.182917 35.425497 35.099266 35.258202   48731300    35.258202
## 2012-10-19 35.040697 35.049065 34.614088 34.714466   49582400    34.714466
## 2012-10-22 35.015619 35.174552 34.823226 35.049080   42518400    35.049080
## 2012-10-23 34.496993 34.496993 34.145664 34.329693   58436700    34.329693
## 2012-10-24 34.639196 34.697751 34.363155 34.363155   35063000    34.363155
## 2012-10-25 34.856679 34.915237 34.379878 34.739571   41000200    34.739571
## 2012-10-26 34.522083 34.614099 34.346421 34.471893   36208200    34.471893
## 2012-10-31 34.572280 34.647561 34.312965 34.421711   58457500    34.421711
## 2012-11-01 34.747942 35.040713 34.689387 34.982159   63484700    34.982159
## 2012-11-02 35.174557 35.174557 34.697756 34.798134   53942400    34.798134
## 2012-11-05 34.756312 34.998896 34.689394 34.965435   33477200    34.965435
## 2012-11-06 35.057453 35.350224 35.040722 35.241482   48097800    35.241482
## 2012-11-07 34.957062 34.973792 34.446801 34.664288   65258900    34.664288
## 2012-11-08 34.639196 34.856683 34.187489 34.229313   73473600    34.229313
## 2012-11-09 34.271136 34.572274 34.220946 34.296230   60594400    34.296230
## 2012-11-12 34.438438 34.555549 34.354790 34.421711   43640500    34.421711
## 2012-11-13 34.011824 34.279502 33.894715 34.112202   56929600    34.112202
## 2012-11-14 34.162399 34.195859 33.509935 33.585220   65058700    33.585220
## 2012-11-15 33.652134 33.802702 33.509930 33.702324   56282800    33.702324
## 2012-11-16 33.668869 33.827802 33.392824 33.802708   55419900    33.802708
## 2012-11-19 34.103842 34.413344 34.103842 34.396614   60801400    34.396614
## 2012-11-20 34.120570 34.329693 34.028555 34.329693   49350300    34.329693
## 2012-11-21 34.195857 34.329696 34.112206 34.262775   49863200    34.262775
## 2012-11-23 34.672658 34.865051 34.647561 34.823227   38725400    34.823227
## 2012-11-26 34.681021 34.831590 34.614104 34.823227   38361700    34.823227
## 2012-11-27 34.789771 34.839962 34.522093 34.530457   39719300    34.530457
## 2012-11-28 34.321331 34.756308 34.212589 34.722847   45433200    34.722847
## 2012-11-29 34.915243 35.090906 34.781404 34.973797   60142000    34.973797
## 2012-11-30 35.049084 35.065811 34.865054 34.957069   60627600    34.957069
## 2012-12-03 35.174555 35.174555 34.940338 34.940338   47979700    34.940338
## 2012-12-04 35.082535 35.233103 35.015617 35.040710   48560100    35.040710
## 2012-12-05 35.400400 35.617890 35.300022 35.417130   60792500    35.417130
## 2012-12-06 35.467331 35.709912 35.442234 35.684818   45175200    35.684818
## 2012-12-07 35.751732 35.818650 35.617893 35.793556   33920200    35.793556
## 2012-12-10 35.785193 36.061237 35.760099 35.994316   52020900    35.994316
## 2012-12-11 36.027783 36.236907 35.994323 36.178352   55722500    36.178352
## 2012-12-12 36.295457 36.512948 36.144888 36.287094   57451400    36.287094
## 2012-12-13 36.261993 36.362375 36.019413 36.128155   55617900    36.128155
## 2012-12-14 36.195079 36.354012 36.153255 36.287094   39422900    36.287094
## 2012-12-17 36.203442 36.395835 36.161618 36.379108   55647600    36.379108
## 2012-12-18 36.347119 36.666914 36.187223 36.633251   61649000    36.633251
## 2012-12-19 36.675341 36.801574 36.591183 36.616428   50249100    36.616428
## 2012-12-20 36.624845 36.843651 36.515441 36.835236   57106100    36.835236
## 2012-12-21 36.212476 36.439698 36.161984 36.414452   66038300    36.414452
## 2012-12-24 36.363949 36.397612 36.262962 36.338703   18908100    36.338703
## 2012-12-26 36.599591 36.675332 36.431278 36.448109   25381900    36.448109
## 2012-12-27 36.653515 36.746118 36.367291 36.653515   41600600    36.653515
## 2012-12-28 36.636677 36.914481 36.611423 36.788208   42093300    36.788208
## 2012-12-31 36.830303 37.394331 36.762955 37.335403   49353800    37.335403
## 2013-01-02 37.806836 38.160409 37.697397 38.067806  101185100    38.067806
## 2013-01-03 37.798409 38.118304 37.747897 37.798409   66217800    37.798409
## 2013-01-04 37.621631 37.891017 37.545865 37.874184   51087000    37.874184
## 2013-01-07 37.579542 37.621634 37.470103 37.587963   50598800    37.587963
## 2013-01-08 37.377502 37.419593 37.116531 37.251225   48456800    37.251225
## 2013-01-09 37.369079 37.503773 37.343826 37.411171   38511200    37.411171
## 2013-01-10 37.638464 37.815249 37.486934 37.739487   44170700    37.739487
## 2013-01-11 37.444846 37.470099 36.998674 37.436428   54701600    37.436428
## 2013-01-14 37.587950 37.646878 37.411162 37.596367   63801400    37.596367
## 2013-01-15 37.343826 37.453266 37.124946 37.436428   55408900    37.436428
## 2013-01-16 37.150202 37.419590 37.133365 37.402752   32090000    37.402752
## 2013-01-17 37.571125 37.756326 37.537451 37.613216   39873100    37.613216
## 2013-01-18 37.621623 37.714225 37.495349 37.697388   51709600    37.697388
## 2013-01-22 37.571121 37.638466 37.486936 37.638466   46493900    37.638466
## 2013-01-23 37.461682 37.495356 37.318572 37.436428   32607900    37.436428
## 2013-01-24 37.394330 37.529027 37.209129 37.301731   38920500    37.301731
## 2013-01-25 37.225968 37.293313 36.973415 37.175457   52779500    37.175457
## 2013-01-28 37.074437 37.074437 36.796630 36.914486   56862100    36.914486
## 2013-01-29 37.124946 37.419591 36.931324 37.326988   46274900    37.326988
## 2013-01-30 37.167042 37.276478 37.133367 37.150204   47812800    37.150204
## 2013-01-31 37.192293 37.268058 37.082853 37.225967   51081600    37.225967
## 2013-02-01 37.436426 37.579536 37.301732 37.470097   50348500    37.470097
## 2013-02-04 37.183867 37.217541 36.863972 36.973408   48193600    36.973408
## 2013-02-05 37.124943 37.200709 36.981833 37.015507   41440100    37.015507
## 2013-02-06 36.838714 36.973408 36.720858 36.973408   52411700    36.973408
## 2013-02-07 36.914490 36.922910 36.468318 36.645103   47884300    36.645103
## 2013-02-08 36.754539 36.973414 36.746122 36.914486   36378000    36.914486
## 2013-02-11 36.847143 36.939746 36.729287 36.897655   25661600    36.897655
## 2013-02-12 36.897653 37.150202 36.771376 36.998672   40661300    36.998672
## 2013-02-13 37.209134 37.276479 37.099694 37.183876   32068400    37.183876
## 2013-02-14 37.040761 37.217546 36.990250 37.167038   28975200    37.167038
## 2013-02-15 37.200721 37.217557 37.007098 37.032356   42285100    37.032356
## 2013-02-19 37.066015 37.225965 37.066015 37.108109   55626600    37.108109
## 2013-02-20 37.276480 37.276480 36.746126 36.779797   47496700    36.779797
## 2013-02-21 36.485152 36.501989 36.097908 36.274693   78468500    36.274693
## 2013-02-22 36.518824 36.518824 36.283108 36.434639   73001800    36.434639
## 2013-02-25 36.729291 36.762962 35.853781 35.946384   81527900    35.946384
## 2013-02-26 36.148422 36.257861 35.912709 36.148422   69633700    36.148422
## 2013-02-27 36.156836 36.586170 36.131578 36.544079   45986600    36.544079
## 2013-02-28 36.527236 36.603002 36.342032 36.375706   43961100    36.375706
## 2013-03-01 36.257859 36.493571 36.114748 36.459900   52273200    36.459900
## 2013-03-04 36.055814 36.165250 35.921116 36.114742   43730400    36.114742
## 2013-03-05 36.485153 36.737703 36.459899 36.552498   49300100    36.552498
## 2013-03-06 36.729282 36.796627 36.611426 36.729282   42439500    36.729282
## 2013-03-07 36.737696 36.872390 36.687189 36.830299   44079200    36.830299
## 2013-03-08 37.066019 37.234387 36.897654 37.150204   61841100    37.150204
## 2013-03-11 36.981836 36.990254 36.838723 36.948162   44046200    36.948162
## 2013-03-12 36.762950 36.813462 36.443055 36.527237   50934700    36.527237
## 2013-03-13 36.459898 36.468315 36.156837 36.182091   80500000    36.182091
## 2013-03-14 36.308368 36.434641 36.283110 36.333622   40119600    36.333622
## 2013-03-15 36.131576 36.173670 35.971629 36.005302   61240400    36.005302
## 2013-03-18 35.592803 35.794844 35.559132 35.601223   69344000    35.601223
## 2013-03-19 35.626479 35.643316 35.121379 35.348675   81729400    35.348675
## 2013-03-20 35.618053 35.702235 35.525451 35.550705   53647100    35.550705
## 2013-03-21 35.373926 35.432854 35.146630 35.188721   50647800    35.188721
## 2013-03-22 35.272913 35.365512 35.188727 35.323421   41763400    35.323421
## 2013-03-25 35.559129 35.609636 35.146628 35.289738   46751300    35.289738
## 2013-03-26 35.601228 35.811687 35.592808 35.794849   55547100    35.794849
## 2013-03-27 35.567550 35.937957 35.466530 35.929539   42991800    35.929539
## 2013-03-28 35.828517 36.013720 35.752752 36.005302   43219200    36.005302
## 2013-04-01 35.963210 35.980047 35.550709 35.618057   48386600    35.618057
## 2013-04-02 35.811688 35.811688 35.584391 35.634903   39392900    35.634903
## 2013-04-03 35.584391 35.643319 35.138220 35.213985   66774600    35.213985
## 2013-04-04 35.180306 35.256071 34.910918 35.112957   72963600    35.112957
## 2013-04-05 34.506833 35.155043 34.447901 35.028770   93360600    35.028770
## 2013-04-08 34.894083 35.138216 34.801480 35.087704   46406900    35.087704
## 2013-04-09 35.138217 35.660154 35.045614 35.432858   77324700    35.432858
## 2013-04-10 35.685406 36.022142 35.651732 35.769592   49605200    35.769592
## 2013-04-11 35.828522 35.895867 35.685408 35.803265   46004700    35.803265
## 2013-04-12 35.416017 35.449691 34.978262 35.256069  109321200    35.256069
## 2013-04-15 34.944582 34.953002 34.363718 34.397392   69582100    34.397392
## 2013-04-16 35.096126 35.188728 34.826739 35.104546   51188300    35.104546
## 2013-04-17 34.809897 34.809897 34.313215 34.548931   87858500    34.548931
## 2013-04-18 34.759390 34.784644 34.405817 34.548931   47811900    34.548931
## 2013-04-19 35.028786 35.129805 34.910929 35.054039   50232400    35.054039
## 2013-04-22 35.171882 35.222393 34.919332 35.222393   33583200    35.222393
## 2013-04-23 35.155050 35.466531 35.096122 35.390766   64692700    35.390766
## 2013-04-24 35.458109 35.735917 35.449693 35.601223   51542700    35.601223
## 2013-04-25 35.794846 36.055817 35.727499 35.921120   41501800    35.921120
## 2013-04-26 35.735917 35.786424 35.441272 35.559132   51739700    35.559132
## 2013-04-29 35.879028 36.055816 35.727498 35.929539   43874800    35.929539
## 2013-04-30 36.055822 36.544085 35.904292 36.443066   80948900    36.443066
## 2013-05-01 36.384136 36.400974 35.929544 36.047401   64532800    36.047401
## 2013-05-02 36.198928 36.350459 36.106326 36.333622   46989800    36.333622
## 2013-05-03 36.544075 36.847136 36.501984 36.636677   57682900    36.636677
## 2013-05-06 36.636679 36.712445 36.527240 36.687191   31402200    36.687191
## 2013-05-07 36.830306 37.015511 36.729286 36.948162   38932900    36.948162
## 2013-05-08 37.099700 37.268067 37.074446 37.234394   47973100    37.234394
## 2013-05-09 37.167042 37.200713 36.779795 36.965000   40290500    36.965000
## 2013-05-10 36.720871 36.771382 36.510412 36.678780   44867100    36.678780
## 2013-05-13 36.459892 36.485147 36.308362 36.342033   51315300    36.342033
## 2013-05-14 36.485152 36.670356 36.434641 36.510406   39457200    36.510406
## 2013-05-15 36.426223 36.577754 36.333621 36.518826   54677500    36.518826
## 2013-05-16 36.518827 36.653521 36.384133 36.392551   34833500    36.392551
## 2013-05-17 36.476736 36.603010 36.409388 36.552498   37786100    36.552498
## 2013-05-20 36.544084 36.687197 36.443064 36.645103   33022100    36.645103
## 2013-05-21 36.577752 36.746120 36.333619 36.569332   39757800    36.569332
## 2013-05-22 36.670352 37.007084 36.030555 36.165249   95248900    36.165249
## 2013-05-23 35.592805 35.929540 35.407603 35.895866   84326400    35.895866
## 2013-05-24 35.584385 35.609639 35.382344 35.584385   70236100    35.584385
## 2013-05-28 36.013728 36.089493 35.744341 35.778015   51418200    35.778015
## 2013-05-29 35.542300 35.601228 35.298167 35.323421   71460900    35.323421
## 2013-05-30 35.272913 35.559137 35.247656 35.323421   57619400    35.323421
## 2013-05-31 35.037197 35.087708 34.633116 34.683628  109498200    34.683628
## 2013-06-03 34.851999 35.315008 34.607866 35.197151  103868200    35.197151
## 2013-06-04 35.180300 35.213974 34.666780 34.767799   61790500    34.767799
## 2013-06-05 34.692035 34.750964 34.119587 34.144844   88096500    34.144844
## 2013-06-06 34.094340 34.464747 34.001737 34.431076   79388500    34.431076
## 2013-06-07 34.237446 34.490000 34.035408 34.254284   83416900    34.254284
## 2013-06-10 33.951230 33.951230 33.665006 33.791279   94653100    33.791279
## 2013-06-11 33.100978 33.395619 32.991539 33.151489   91969100    33.151489
## 2013-06-12 33.420877 33.437714 32.848428 32.924194  110462700    32.924194
## 2013-06-13 32.907354 33.631333 32.856843 33.622913  109955800    33.622913
## 2013-06-14 33.513474 33.589240 32.999954 33.092556  101834900    33.092556
## 2013-06-17 33.462956 33.614486 33.193568 33.395607   59802800    33.395607
## 2013-06-18 33.311431 33.563981 33.227249 33.538727   57237000    33.538727
## 2013-06-19 33.286176 33.437706 32.444341 32.503269  106460000    32.503269
## 2013-06-20 31.728773 31.728773 30.668061 31.046888  151378100    31.046888
## 2013-06-21 31.484650 31.686688 30.962710 31.493067  122377400    31.493067
## 2013-06-24 30.718583 31.181592 30.440776 30.853277  105810400    30.853277
## 2013-06-25 31.383631 31.543581 31.046898 31.509907   81147700    31.509907
## 2013-06-26 31.754030 32.132854 31.745610 32.006580   79737000    32.006580
## 2013-06-27 32.392947 32.699990 32.384419 32.648815   95787800    32.648815
## 2013-06-28 32.401474 32.921737 32.350299 32.836449   92251600    32.836449
## 2013-07-01 32.989983 33.160562 32.810875 32.938808   64188900    32.938808
## 2013-07-02 32.853512 33.075264 32.145608 32.350304   91594600    32.350304
## 2013-07-03 31.898271 32.333246 31.864154 32.051792   51565400    32.051792
## 2013-07-05 32.102962 32.145606 31.540052 31.847094   94284700    31.847094
## 2013-07-08 31.847094 32.137078 31.795920 31.889738   63868900    31.889738
## 2013-07-09 32.239422 32.350299 32.000612 32.307655   68925700    32.307655
## 2013-07-10 32.154140 32.367364 31.966502 32.000618   72780900    32.000618
## 2013-07-11 33.186138 33.595527 33.015559 33.569942   99047500    33.569942
## 2013-07-12 33.194661 33.271422 33.049671 33.211720   48446100    33.211720
## 2013-07-15 33.390831 33.731986 33.373772 33.552879   78940600    33.552879
## 2013-07-16 33.638171 33.723463 33.390835 33.689346   59925000    33.689346
## 2013-07-17 33.970813 34.030516 33.851405 33.996399   64775200    33.996399
## 2013-07-18 33.783170 33.885516 33.544360 33.595531   63396800    33.595531
## 2013-07-19 33.544360 33.552888 33.373780 33.501713   56381200    33.501713
## 2013-07-22 33.587006 33.894049 33.459071 33.834343   60947300    33.834343
## 2013-07-23 34.158440 34.320493 34.056094 34.201084   69873900    34.201084
## 2013-07-24 34.201092 34.209624 33.646713 33.851406   73854100    33.851406
## 2013-07-25 33.740522 34.081679 33.723465 34.047562   45387700    34.047562
## 2013-07-26 33.859929 34.013450 33.604061 33.970806   37847700    33.970806
## 2013-07-29 33.697879 33.740526 33.527302 33.544361   50232900    33.544361
## 2013-07-30 33.697880 33.723470 33.399369 33.467602   38655400    33.467602
## 2013-07-31 33.203205 33.672297 33.058211 33.271435   81129000    33.271435
## 2013-08-01 33.629640 33.996385 33.561406 33.876980   81917200    33.876980
## 2013-08-02 33.783166 34.064620 33.757580 33.868454   46528200    33.868454
## 2013-08-05 33.757593 33.766120 33.518780 33.655243   41164800    33.655243
## 2013-08-06 33.518767 33.518767 33.152022 33.228783   51415100    33.228783
## 2013-08-07 32.913208 33.058198 32.844975 32.870564   54242300    32.870564
## 2013-08-08 33.237317 33.646707 33.024094 33.501713   75526500    33.501713
## 2013-08-09 33.510239 33.766107 33.501709 33.569942   56199400    33.569942
## 2013-08-12 33.706413 34.013456 33.706413 33.885521   61381800    33.885521
## 2013-08-13 34.098734 34.192553 33.919626 34.090206   61264100    34.090206
## 2013-08-14 34.226673 34.286376 34.149913 34.201084   48288100    34.201084
## 2013-08-15 33.766106 33.876983 33.450536 33.808750   59751700    33.808750
## 2013-08-16 33.834338 33.894044 33.476124 33.518768   72806300    33.518768
## 2013-08-19 33.254369 33.288482 32.870565 32.887623   53829000    32.887623
## 2013-08-20 32.725580 33.032623 32.708521 32.827930   53697600    32.827930
## 2013-08-21 32.435595 32.478242 31.992089 32.060322  108745800    32.060322
## 2013-08-22 32.418529 32.648812 32.392944 32.580582   57470900    32.580582
## 2013-08-23 32.836454 33.024092 32.640288 32.964390   57345100    32.964390
## 2013-08-26 33.007035 33.032621 32.546471 32.606174   42254600    32.606174
## 2013-08-27 32.068851 32.128553 31.787397 31.855627   89367100    31.855627
## 2013-08-28 31.804451 32.230898 31.702101 31.923855   69409900    31.923855
## 2013-08-29 32.299133 32.546474 32.102968 32.179729   63988700    32.179729
## 2013-08-30 32.554992 32.572050 32.188250 32.427059  104219900    32.427059
## 2013-09-03 32.896155 33.015560 32.554995 32.631756   62694800    32.631756
## 2013-09-04 32.819389 33.220251 32.751159 33.211720   60083400    33.211720
## 2013-09-05 33.237307 33.689341 33.194660 33.604053   59046600    33.604053
## 2013-09-06 34.073150 34.235198 33.697874 34.098736   75420400    34.098736
## 2013-09-09 34.439898 35.062511 34.414309 34.994278  116120500    34.994278
## 2013-09-10 35.198968 35.335432 35.096623 35.258671   80651200    35.258671
## 2013-09-11 35.122215 35.395141 35.053982 35.284264   73495900    35.284264
## 2013-09-12 35.156327 35.190440 34.866343 34.874870   58460500    34.874870
## 2013-09-13 34.934576 35.147800 34.857816 35.105156   44927100    35.105156
## 2013-09-16 35.710702 35.736291 35.412189 35.497478   68924400    35.497478
## 2013-09-17 35.506014 35.565717 35.352493 35.420723   46999400    35.420723
## 2013-09-18 35.318377 36.947407 35.164856 36.904762  113370100    36.904762
## 2013-09-19 36.785360 36.819473 36.486845 36.708599  100087700    36.708599
## 2013-09-20 36.538014 36.538014 35.830110 35.889816   77275200    35.889816
## 2013-09-23 35.940993 36.145689 35.881291 36.017754   61143000    36.017754
## 2013-09-24 35.881296 35.966584 35.642486 35.710716   43438700    35.710716
## 2013-09-25 35.710712 35.736302 35.395142 35.437786   56353100    35.437786
## 2013-09-26 35.642478 35.770410 35.386610 35.582775   54419200    35.582775
## 2013-09-27 35.301326 35.369560 35.062517 35.164864   69028500    35.164864
## 2013-09-30 34.619006 34.900459 34.533718 34.763996   93884500    34.763996
## 2013-10-01 35.002812 35.471903 34.977222 35.454845   62524700    35.454845
## 2013-10-02 35.284262 35.608363 35.164858 35.591305   46985900    35.591305
## 2013-10-03 35.761887 35.838648 35.198977 35.454845   51161500    35.454845
## 2013-10-04 35.540122 35.949515 35.480419 35.915398   36780900    35.915398
## 2013-10-07 35.446315 35.761885 35.412198 35.608364   51699900    35.608364
## 2013-10-08 35.736300 35.787471 35.233091 35.267204   66218200    35.267204
## 2013-10-09 35.514538 35.685118 35.233085 35.531597   67258400    35.531597
## 2013-10-10 35.975112 36.435676 35.949527 36.367443   99094900    36.367443
## 2013-10-11 36.213914 36.572132 36.154212 36.529488   42764200    36.529488
## 2013-10-14 36.222451 36.828006 36.162749 36.742718   43319800    36.742718
## 2013-10-15 36.580664 36.700069 36.290680 36.384499   54388300    36.384499
## 2013-10-16 36.563603 36.819470 36.503900 36.674480   64749400    36.674480
## 2013-10-17 36.640364 36.938879 36.580661 36.904762   58641300    36.904762
## 2013-10-18 37.066810 37.109453 36.896230 36.938877   55660500    36.938877
## 2013-10-21 36.964473 37.024175 36.802424 36.879185   44243400    36.879185
## 2013-10-22 37.143566 37.450609 37.092395 37.237385   74992500    37.237385
## 2013-10-23 36.614783 36.657428 36.350385 36.367443   69411000    36.367443
## 2013-10-24 36.572133 36.572133 36.239505 36.290676   57466500    36.290676
## 2013-10-25 36.316268 36.529491 36.222448 36.461258   45414700    36.461258
## 2013-10-28 36.512431 36.734183 36.478314 36.674480   44569400    36.674480
## 2013-10-29 36.802416 36.862117 36.751240 36.793884   32543300    36.793884
## 2013-10-30 36.938877 36.938877 36.427138 36.589191   55442300    36.589191
## 2013-10-31 36.674473 36.683000 36.196851 36.213909   68089000    36.213909
## 2013-11-01 36.350376 36.427137 36.000690 36.230972   83621600    36.230972
## 2013-11-04 36.299214 36.469790 36.290683 36.452736   35360700    36.452736
## 2013-11-05 35.983634 36.034808 35.693649 35.719238   73296100    35.719238
## 2013-11-06 35.983638 36.026285 35.804531 35.830116   61350100    35.830116
## 2013-11-07 35.898355 35.915414 35.105162 35.181923   94546100    35.181923
## 2013-11-08 34.977220 35.122214 34.755469 35.105156   79167700    35.105156
## 2013-11-11 35.071038 35.130741 34.840756 34.926048   58492300    34.926048
## 2013-11-12 34.934572 34.977216 34.491067 34.738407   81455800    34.738407
## 2013-11-13 34.405788 34.874880 34.388730 34.798119   69898800    34.798119
## 2013-11-14 34.823702 35.369554 34.729882 35.361023   87793800    35.361023
## 2013-11-15 35.761883 36.188330 35.719239 36.034809   94070900    36.034809
## 2013-11-18 36.503900 36.751241 36.350379 36.358910   80437300    36.358910
## 2013-11-19 36.461258 36.512432 36.094513 36.137157   59573100    36.137157
## 2013-11-20 36.171277 36.222452 35.582780 35.642483   62635400    35.642483
## 2013-11-21 35.531603 35.668067 35.420726 35.608364   51401400    35.608364
## 2013-11-22 35.633945 35.906871 35.565716 35.864227   49745300    35.864227
## 2013-11-25 35.847173 35.855704 35.369554 35.403667   59685800    35.403667
## 2013-11-26 35.395139 35.633949 35.292793 35.523075   37990900    35.523075
## 2013-11-27 35.668061 35.830110 35.523071 35.753349   45419400    35.753349
## 2013-11-29 36.026279 36.213913 35.958046 36.120094   41826600    36.120094
## 2013-12-02 35.983636 36.043338 35.292793 35.361023   67975400    35.361023
## 2013-12-03 35.233091 35.497487 34.994279 35.241619  108126900    35.241619
## 2013-12-04 35.019864 35.292790 34.832226 35.198971   62378500    35.198971
## 2013-12-05 35.096628 35.318379 34.977219 34.994278   56729300    34.994278
## 2013-12-06 35.591305 35.898347 35.488958 35.770412   75512400    35.770412
## 2013-12-09 35.872765 36.026287 35.787473 35.821590   56365100    35.821590
## 2013-12-10 35.642481 35.872763 35.633950 35.838646   44343900    35.838646
## 2013-12-11 35.574242 35.574242 35.002804 35.045448   74628400    35.045448
## 2013-12-12 34.900458 34.968691 34.687234 34.840755   62076500    34.840755
## 2013-12-13 34.951634 35.011336 34.781054 34.926048   62277400    34.926048
## 2013-12-16 35.139272 35.403667 35.105155 35.156330   59551600    35.156330
## 2013-12-17 35.113672 35.113672 34.823691 34.849277   53390900    34.849277
## 2013-12-18 35.086812 35.869961 34.544631 35.542931  107981900    35.542931
## 2013-12-19 34.923291 35.026563 34.613473 34.888866   70838100    34.888866
## 2013-12-20 34.888875 35.069601 34.802813 34.837238   86690800    34.837238
## 2013-12-23 35.121237 35.258933 35.026570 35.095417   56621800    35.095417
## 2013-12-24 35.258935 35.353602 35.233115 35.301964   18409100    35.301964
## 2013-12-26 35.155657 35.207295 34.983539 35.000748   24739900    35.000748
## 2013-12-27 35.362205 35.551539 35.310568 35.542931   35691100    35.542931
## 2013-12-30 35.594562 35.749471 35.551532 35.697834   39861800    35.697834
## 2013-12-31 35.783910 36.016269 35.715060 35.973240   38839400    35.973240
## 2014-01-02 35.284752 35.293356 34.553240 34.587662  138488400    34.587662
## 2014-01-03 34.759783 34.768392 34.372511 34.527420   83579700    34.527420
## 2014-01-06 34.389720 34.389720 34.191782 34.200390   55735100    34.200390
## 2014-01-07 34.381112 34.501596 34.243415 34.346687   57341500    34.346687
## 2014-01-08 34.398330 34.432752 34.131542 34.234814   63182600    34.234814
## 2014-01-09 34.122935 34.183176 33.787296 34.054085   74405200    34.054085
## 2014-01-10 34.252024 34.785598 34.243420 34.656509  110244200    34.656509
## 2014-01-13 34.725355 34.768389 34.148753 34.243420   62209500    34.243420
## 2014-01-14 34.432754 34.716755 34.277848 34.613483   75830700    34.613483
## 2014-01-15 34.587665 34.690939 34.527423 34.604877   47361900    34.604877
## 2014-01-16 34.561844 34.647903 34.338089 34.415543   56673900    34.415543
## 2014-01-17 34.398329 34.406934 34.200391 34.243420   61288200    34.243420
## 2014-01-21 34.424147 34.467176 34.045482 34.191784   46683100    34.191784
## 2014-01-22 34.475785 34.656511 34.320876 34.647903   56188400    34.647903
## 2014-01-23 34.226204 34.226204 33.554935 33.795902  109930400    33.795902
## 2014-01-24 33.348395 33.374212 32.875064 32.909489  127153900    32.909489
## 2014-01-27 32.952514 33.021360 32.504999 32.780392  118532300    32.780392
## 2014-01-28 32.995542 33.133239 32.875059 32.986938   86568700    32.986938
## 2014-01-29 32.556640 32.875062 32.350093 32.513607  142219100    32.513607
## 2014-01-30 32.978337 33.055791 32.694339 32.814823   84660600    32.814823
## 2014-01-31 32.427548 32.935304 32.341489 32.866455  102329500    32.866455
## 2014-02-03 32.582457 32.634090 31.885366 31.937004  123117200    31.937004
## 2014-02-04 32.461973 32.780396 32.375911 32.582458  138955500    32.582458
## 2014-02-05 32.444763 32.668518 32.229612 32.461975   86064900    32.461975
## 2014-02-06 32.694336 33.193484 32.694336 33.141846   99403100    33.141846
## 2014-02-07 33.400026 33.494690 33.150450 33.331177   80356700    33.331177
## 2014-02-10 33.184880 33.210697 32.814820 32.961121   68839500    32.961121
## 2014-02-11 33.141846 33.752877 33.133242 33.675423   93164800    33.675423
## 2014-02-12 33.899183 34.062700 33.580760 33.684032   68705700    33.684032
## 2014-02-13 33.193488 33.744273 33.193488 33.718456   50414900    33.718456
## 2014-02-14 33.950820 34.312272 33.890578 34.131546   69806400    34.131546
## 2014-02-18 34.114324 34.183174 33.795901 33.813114   69542600    33.813114
## 2014-02-19 33.684025 33.959418 33.503299 33.580753  101924800    33.580753
## 2014-02-20 33.546335 33.778698 33.339792 33.701244   71686300    33.701244
## 2014-02-21 33.881961 34.071295 33.804507 33.933598   66907700    33.933598
## 2014-02-24 33.899173 34.234808 33.856144 33.933598   58971200    33.933598
## 2014-02-25 33.864751 33.942206 33.451662 33.546329   77028600    33.546329
## 2014-02-26 33.735668 33.804515 33.434454 33.572151   59122600    33.572151
## 2014-02-27 33.873354 34.269230 33.804504 34.208988   67962200    34.208988
## 2014-02-28 34.234807 34.286444 33.752871 33.976627   88240700    33.976627
## 2014-03-03 33.322573 33.511904 33.124635 33.374207   98832200    33.374207
## 2014-03-04 34.019658 34.071295 33.795902 33.942204   63103000    33.942204
## 2014-03-05 33.838938 34.019664 33.778695 33.968029   42856900    33.968029
## 2014-03-06 34.277845 34.613479 34.269237 34.449963   86027600    34.449963
## 2014-03-07 34.295052 34.312265 33.804509 34.011055   66565600    34.011055
## 2014-03-10 33.787298 33.795906 33.494693 33.778694   57747100    33.778694
## 2014-03-11 33.830342 33.933614 33.313978 33.400040   72692600    33.400040
## 2014-03-12 33.202091 33.503301 33.098816 33.468876   56882800    33.468876
## 2014-03-13 33.546333 33.563545 32.728758 32.866455   79967400    32.866455
## 2014-03-14 32.918084 33.236506 32.918084 33.047176   64589800    33.047176
## 2014-03-17 33.339788 33.529118 33.339788 33.451664   57492000    33.451664
## 2014-03-18 33.529117 33.933601 33.503299 33.916389   68135000    33.916389
## 2014-03-19 33.675424 33.830333 33.047184 33.193485   95953000    33.193485
## 2014-03-20 32.969727 33.408634 32.849239 33.339787   60572300    33.339787
## 2014-03-21 33.563541 33.950814 33.503299 33.546329   86969000    33.546329
## 2014-03-24 33.847546 33.950817 33.640999 33.873363   54328100    33.873363
## 2014-03-25 34.217606 34.389728 34.114335 34.260639   93531000    34.260639
## 2014-03-26 34.561852 34.673732 34.320884 34.338097   91289900    34.338097
## 2014-03-27 34.467176 34.837237 34.449964 34.785599   73438700    34.785599
## 2014-03-28 35.095423 35.301968 35.017968 35.061001   67464400    35.061001
## 2014-03-31 35.276145 35.499901 35.258932 35.293354   75256100    35.293354
## 2014-04-01 35.628990 35.706444 35.491293 35.706444   65717300    35.706444
## 2014-04-02 35.568756 35.809724 35.517118 35.775299   44076300    35.775299
## 2014-04-03 35.611783 35.663417 35.284752 35.637600   84659200    35.637600
## 2014-04-04 36.016262 36.257234 35.491297 35.542931  127800700    35.542931
## 2014-04-07 35.577350 35.792500 35.491291 35.697834   60586200    35.697834
## 2014-04-08 36.196990 36.369108 35.990444 36.110928  107043300    36.110928
## 2014-04-09 36.153962 36.549842 35.912995 36.386326   71617000    36.386326
## 2014-04-10 36.377714 36.506803 35.956017 35.999050   74792500    35.999050
## 2014-04-11 35.749474 36.050684 35.740866 35.999050   76310100    35.999050
## 2014-04-14 36.110930 36.119538 35.740871 35.921600   44883400    35.921600
## 2014-04-15 35.697839 35.723656 34.940507 35.379417  155302100    35.379417
## 2014-04-16 35.551542 35.861357 35.465480 35.826935   64113100    35.826935
## 2014-04-17 35.861349 36.274442 35.758077 36.153954   69955200    36.153954
## 2014-04-21 36.102328 36.110932 35.835539 35.930206   29288500    35.930206
## 2014-04-22 35.973242 36.024880 35.818333 35.835545   43060000    35.835545
## 2014-04-23 35.663410 35.680623 35.370804 35.577351   58299300    35.577351
## 2014-04-24 35.603170 35.620382 35.301960 35.611778   39310800    35.611778
## 2014-04-25 35.147045 35.155649 34.888865 35.129833   72613500    35.129833
## 2014-04-28 35.172873 35.422449 35.000751 35.301964   64020600    35.301964
## 2014-04-29 35.525721 35.775297 35.508508 35.637600   71181600    35.637600
## 2014-04-30 35.362205 35.568752 35.319176 35.568752   49063100    35.568752
## 2014-05-01 35.525716 35.697837 35.353598 35.611778   31161300    35.611778
## 2014-05-02 35.542926 35.912987 35.517109 35.809715   63037500    35.809715
## 2014-05-05 35.560141 35.646200 35.456869 35.611778   26894600    35.611778
## 2014-05-06 35.646207 35.981845 35.628998 35.775299   41163100    35.775299
## 2014-05-07 35.672029 35.973238 35.611786 35.964634   43226500    35.964634
## 2014-05-08 36.067901 36.179780 35.878567 35.878567   49820300    35.878567
## 2014-05-09 35.912988 35.999050 35.766687 35.818321   43953000    35.818321
## 2014-05-12 36.343296 36.446566 36.205599 36.420750   63396500    36.420750
## 2014-05-13 36.480990 36.713354 36.429356 36.558445   53342400    36.558445
## 2014-05-14 36.764996 36.937115 36.713359 36.816631   57544700    36.816631
## 2014-05-15 36.764983 36.773588 36.343287 36.472378   56308800    36.472378
## 2014-05-16 36.782209 37.005964 36.678934 36.954327   70419600    36.954327
## 2014-05-19 36.902692 37.005964 36.868267 36.954327   32471500    36.954327
## 2014-05-20 36.816625 36.902687 36.558445 36.653111   63707800    36.653111
## 2014-05-21 36.851048 36.954320 36.825231 36.937107   50661300    36.937107
## 2014-05-22 37.117843 37.195297 37.040388 37.195297   51415000    37.195297
## 2014-05-23 37.143663 37.255542 37.109238 37.126450   55456100    37.126450
## 2014-05-27 36.971532 37.031774 36.687534 36.808018   40155800    36.808018
## 2014-05-28 36.997358 37.100629 36.868265 37.023174   45095400    37.023174
## 2014-05-29 37.117846 37.186692 37.023178 37.126450   28979600    37.126450
## 2014-05-30 36.894072 36.937101 36.541225 36.618679   72201700    36.618679
## 2014-06-02 36.773594 36.851049 36.704748 36.730564   33550800    36.730564
## 2014-06-03 36.773594 37.040382 36.764989 36.937107   38021700    36.937107
## 2014-06-04 36.687535 36.799411 36.627292 36.730564   25656100    36.730564
## 2014-06-05 37.066203 37.178082 36.919902 37.117840   41040500    37.117840
## 2014-06-06 37.419047 37.573956 37.358805 37.487896   45429100    37.487896
## 2014-06-09 37.444866 37.677230 37.444866 37.625595   38995600    37.625595
## 2014-06-10 37.668622 37.849349 37.616985 37.823532   31573300    37.823532
## 2014-06-11 37.599777 37.763293 37.591171 37.694443   44721500    37.694443
## 2014-06-12 37.754682 37.789107 37.393230 37.513714   40265500    37.513714
## 2014-06-13 37.384626 37.565355 37.307170 37.530930   27554000    37.530930
## 2014-06-16 37.419041 37.453465 37.246920 37.358799   32040700    37.358799
## 2014-06-17 37.315775 37.384622 37.212504 37.367409   35013500    37.367409
## 2014-06-18 37.281347 37.806315 37.169468 37.780499   62131500    37.780499
## 2014-06-19 37.660020 37.728870 37.453477 37.565357   48497900    37.565357
## 2014-06-20 37.436259 37.513713 37.350200 37.487896   36744000    37.487896
## 2014-06-23 37.462081 37.479293 37.281355 37.410446   27608300    37.410446
## 2014-06-24 37.513714 37.771894 37.315776 37.393230   49441000    37.393230
## 2014-06-25 37.411453 37.506869 37.298689 37.472172   35940200    37.472172
## 2014-06-26 37.576252 37.576252 37.385420 37.515533   21873800    37.515533
## 2014-06-27 37.515529 37.628293 37.402764 37.602268   21988900    37.602268
## 2014-06-30 37.619629 37.662998 37.472171 37.498192   34343200    37.498192
## 2014-07-01 37.775758 37.888522 37.758410 37.853825   42222400    37.853825
## 2014-07-02 38.009951 38.096691 37.983930 38.079346   35955800    38.079346
## 2014-07-03 37.992605 38.330895 37.966584 38.304874   26627100    38.304874
## 2014-07-07 38.226816 38.304883 38.148749 38.278862   26962800    38.278862
## 2014-07-08 38.252828 38.278853 38.027303 38.105370   29106700    38.105370
## 2014-07-09 38.122723 38.365598 38.079354 38.322227   29892600    38.322227
## 2014-07-10 37.767085 38.131396 37.671669 38.114048   43704000    38.114048
## 2014-07-11 37.957915 38.140074 37.931894 38.070679   32082600    38.070679
## 2014-07-14 38.296213 38.374280 38.226818 38.365604   23136700    38.365604
## 2014-07-15 38.400291 38.443661 38.157418 38.339573   38034000    38.339573
## 2014-07-16 38.530403 38.573776 38.382944 38.434990   26424000    38.434990
## 2014-07-17 38.166088 38.235482 37.645643 37.715034   66994900    37.715034
## 2014-07-18 38.252828 38.391613 38.114043 38.304874   51870700    38.304874
## 2014-07-21 38.114046 38.513058 38.096697 38.434990   56034400    38.434990
## 2014-07-22 38.860021 38.886046 38.773282 38.790630   43480300    38.790630
## 2014-07-23 38.877371 38.877371 38.738586 38.825325   29647900    38.825325
## 2014-07-24 38.877369 39.033503 38.833999 38.998806   31503700    38.998806
## 2014-07-25 38.816649 38.886043 38.721232 38.842670   34409200    38.842670
## 2014-07-28 38.894715 39.128917 38.825321 39.111568   38243200    39.111568
## 2014-07-29 39.146267 39.146267 38.851348 38.877369   35722000    38.877369
## 2014-07-30 39.042174 39.076871 38.504380 38.686535   54177600    38.686535
## 2014-07-31 38.218136 38.296203 37.871170 38.009956   88181200    38.009956
## 2014-08-01 38.122725 38.322228 37.862502 38.218140  108800800    38.218140
## 2014-08-04 38.391621 38.660520 38.235490 38.573780   43918900    38.573780
## 2014-08-05 38.183440 38.287528 37.862499 37.983936   67276000    37.983936
## 2014-08-06 37.775755 37.931890 37.680340 37.723713   63560700    37.723713
## 2014-08-07 37.810453 37.836474 37.420117 37.576252   77763500    37.576252
## 2014-08-08 37.741056 37.975258 37.584925 37.914539   53612400    37.914539
## 2014-08-11 38.096703 38.434996 38.070682 38.400299   49923100    38.400299
## 2014-08-12 38.244156 38.452337 38.200787 38.443661   36823500    38.443661
## 2014-08-13 38.747261 38.842677 38.547757 38.651848   49491900    38.651848
## 2014-08-14 38.677862 38.781950 38.625816 38.712559   33152100    38.712559
## 2014-08-15 38.799303 38.886046 38.408967 38.608471   66006100    38.608471
## 2014-08-18 38.807977 38.981457 38.721234 38.981457   38360500    38.981457
## 2014-08-19 39.016150 39.180957 38.998801 39.163612   33591600    39.163612
## 2014-08-20 38.981465 39.154947 38.912074 39.085556   30889600    39.085556
## 2014-08-21 38.998798 39.068193 38.868688 38.920731   35476300    38.920731
## 2014-08-22 38.964112 39.024834 38.669196 38.816654   45995800    38.816654
## 2014-08-25 38.920739 39.120243 38.868696 39.102898   31989900    39.102898
## 2014-08-26 39.180963 39.363122 39.163618 39.337097   45918400    39.337097
## 2014-08-27 39.415162 39.536602 39.328422 39.536602   34239100    39.536602
## 2014-08-28 39.024830 39.189637 38.981457 39.146267   38157700    39.146267
## 2014-08-29 39.180969 39.241691 39.033510 39.085556   39791500    39.085556
## 2014-09-02 39.076872 39.085548 38.929414 39.024830   48129000    39.024830
## 2014-09-03 39.684060 39.718757 39.467207 39.536602   51700200    39.536602
## 2014-09-04 39.666712 39.753455 39.328422 39.432510   41676700    39.432510
## 2014-09-05 39.501903 39.770798 39.397811 39.770798   53035700    39.770798
## 2014-09-08 39.623340 39.658038 39.224332 39.302399   50222700    39.302399
## 2014-09-09 39.068204 39.154944 38.651847 38.816654   85940600    38.816654
## 2014-09-10 38.452344 38.721239 38.365601 38.651848   57439600    38.651848
## 2014-09-11 38.382952 38.452346 38.330906 38.391624   70622500    38.391624
## 2014-09-12 38.157419 38.166091 37.853823 37.983936   85785600    37.983936
## 2014-09-15 37.871173 37.914543 37.680342 37.793106   68507800    37.793106
## 2014-09-16 37.758408 38.547752 37.732387 38.287529   97318600    38.287529
## 2014-09-17 38.339576 38.400294 37.923219 37.931892   76121700    37.931892
## 2014-09-18 38.053327 38.122722 37.931890 37.983936   50513900    37.983936
## 2014-09-19 38.096701 38.140074 37.602277 37.697693   88033100    37.697693
## 2014-09-22 37.368076 37.411445 36.960392 37.125198   83094000    37.125198
## 2014-09-23 37.038457 37.211940 36.864973 36.917019   82990700    36.917019
## 2014-09-24 37.185914 37.524203 37.003758 37.446136   55218900    37.446136
## 2014-09-25 36.873641 36.890990 36.535352 36.630768   68810700    36.630768
## 2014-09-26 36.665464 36.925687 36.613419 36.795574   54551800    36.795574
## 2014-09-29 35.884804 36.231770 35.876132 36.049614   74208400    36.049614
## 2014-09-30 35.954199 36.119005 35.876132 36.049614   87704500    36.049614
## 2014-10-01 35.858783 35.893480 35.303641 35.312313  109933300    35.312313
## 2014-10-02 35.442429 35.754697 35.017396 35.503147   92880600    35.503147
## 2014-10-03 35.633248 35.902143 35.468438 35.806728   61010900    35.806728
## 2014-10-06 36.535362 36.570059 36.266466 36.275139   84259600    36.275139
## 2014-10-07 36.223084 36.318500 35.954189 35.954189   41767500    35.954189
## 2014-10-08 36.023579 36.561377 35.615898 36.491982   90901600    36.491982
## 2014-10-09 36.344531 36.387901 35.798060 35.919498   82942800    35.919498
## 2014-10-10 35.529157 35.650594 35.104127 35.138821  104177200    35.138821
## 2014-10-13 35.737339 35.997561 35.477116 35.494461   89761000    35.494461
## 2014-10-14 35.615904 35.928169 35.425072 35.702644   71636700    35.702644
## 2014-10-15 35.216890 35.399049 34.505613 35.251587  122284500    35.251587
## 2014-10-16 34.436222 35.320981 34.418872 34.930645  101076200    34.930645
## 2014-10-17 35.312304 35.563854 35.112800 35.320980   73616400    35.320980
## 2014-10-20 35.286286 35.468442 35.208219 35.425072   50853900    35.425072
## 2014-10-21 35.355680 35.711319 35.329660 35.572533   49877200    35.572533
## 2014-10-22 35.529169 35.598564 35.216900 35.338341   50711600    35.338341
## 2014-10-23 35.425070 35.537835 35.286284 35.329655   43661600    35.329655
## 2014-10-24 35.364362 35.754698 35.338342 35.581215   43721100    35.581215
## 2014-10-27 35.017391 35.355680 34.939324 35.303638   44793200    35.303638
## 2014-10-28 35.728661 36.118996 35.719988 36.014908   73890500    36.014908
## 2014-10-29 36.353200 36.448615 35.841427 36.066956   75308700    36.066956
## 2014-10-30 36.136349 36.552705 36.136349 36.405247   54208200    36.405247
## 2014-10-31 36.570054 36.717516 36.431269 36.561382  108786100    36.561382
## 2014-11-03 36.439945 36.465970 36.171051 36.257790   59606600    36.257790
## 2014-11-04 36.301149 36.327174 36.040927 36.292477   41428100    36.292477
## 2014-11-05 35.997567 36.040937 35.763366 35.971546   48726600    35.971546
## 2014-11-06 35.867453 35.919499 35.511815 35.529163   52054400    35.529163
## 2014-11-07 35.633247 35.806727 35.572525 35.754684   42327500    35.754684
## 2014-11-10 36.136353 36.162374 35.824084 35.850109   45891600    35.850109
## 2014-11-11 35.737344 35.876130 35.685298 35.815411   28395000    35.815411
## 2014-11-12 35.832757 35.997564 35.711317 35.746014   25122300    35.746014
## 2014-11-13 35.902147 35.919496 35.555185 35.650597   30709800    35.650597
## 2014-11-14 35.589876 35.962863 35.563855 35.945515   47386400    35.945515
## 2014-11-17 35.641925 35.641925 35.494463 35.563858   38237800    35.563858
## 2014-11-18 35.615898 35.780705 35.607222 35.754684   23114500    35.754684
## 2014-11-19 35.641927 35.876129 35.485793 35.737343   49215300    35.737343
## 2014-11-20 35.711318 35.841431 35.650599 35.676624   28926200    35.676624
## 2014-11-21 36.596086 36.830287 36.413931 36.812939  111455200    36.812939
## 2014-11-24 36.613423 36.630773 36.474638 36.509335   38061300    36.509335
## 2014-11-25 36.570059 36.604756 36.249118 36.275139   43794300    36.275139
## 2014-11-26 36.596074 36.760884 36.561380 36.734859   30953300    36.734859
## 2014-11-28 36.318503 36.327179 35.980214 35.997562   49144700    35.997562
## 2014-12-01 35.607231 35.615907 35.338336 35.381706   75105900    35.381706
## 2014-12-02 35.485796 35.520494 35.338338 35.373032   47273300    35.373032
## 2014-12-03 35.459773 35.615907 35.425075 35.468445   37508300    35.468445
## 2014-12-04 35.633255 35.650600 35.451096 35.529163   31459900    35.529163
## 2014-12-05 35.355674 35.563854 35.277607 35.459766   32496300    35.459766
## 2014-12-08 35.225570 35.234243 34.887280 34.939323   43437900    34.939323
## 2014-12-09 34.522978 34.635743 34.410214 34.609722   54564100    34.609722
## 2014-12-10 34.514292 34.522965 34.063238 34.097935   55591700    34.097935
## 2014-12-11 33.950472 34.132627 33.759641 33.811687   65853700    33.811687
## 2014-12-12 33.742294 33.750966 33.247870 33.256542   79274600    33.256542
## 2014-12-15 33.325931 33.351956 32.605982 32.779465   93921700    32.779465
## 2014-12-16 32.415152 33.239194 32.293715 32.727421  117074100    32.727421
## 2014-12-17 32.863803 33.919669 32.828610 33.479725  119530800    33.479725
## 2014-12-18 33.990061 34.201232 33.708497 33.937267   70091400    33.937267
## 2014-12-19 33.998861 34.333219 33.990063 34.174839   61239600    34.174839
## 2014-12-22 34.588387 34.711571 34.517995 34.649979   47398500    34.649979
## 2014-12-23 34.368414 34.394810 34.139642 34.333218   52339300    34.333218
## 2014-12-24 34.394816 34.456409 34.245234 34.412415   21433900    34.412415
## 2014-12-26 34.729170 34.869952 34.658777 34.685173   28723000    34.685173
## 2014-12-29 34.693971 34.764360 34.473999 34.473999   38964300    34.473999
## 2014-12-30 34.430005 34.614781 34.421205 34.544388   32332700    34.544388
## 2014-12-31 34.729173 34.746771 34.500400 34.570793   34940700    34.570793
## 2015-01-02 34.482803 34.500401 34.025260 34.113251   65010000    34.113251
## 2015-01-05 33.893279 33.893279 33.453335 33.506130   83166600    33.506130
## 2015-01-06 33.514917 33.664496 33.189359 33.365334   52066100    33.365334
## 2015-01-07 33.937274 34.113252 33.822888 34.086857   64948700    34.086857
## 2015-01-08 34.588385 34.825956 34.544388 34.667576   55081600    34.667576
## 2015-01-09 34.773160 34.790759 34.447603 34.553188   38550100    34.553188
## 2015-01-12 34.447607 34.491601 34.227635 34.271629   55381800    34.271629
## 2015-01-13 34.711575 34.887553 34.289229 34.570793   55565600    34.570793
## 2015-01-14 34.192437 34.456403 34.104446 34.377213   83761000    34.377213
## 2015-01-15 34.834758 34.957942 34.403611 34.456406   57441600    34.456406
## 2015-01-16 34.430001 34.790754 34.377206 34.746761   72675200    34.746761
## 2015-01-20 34.676368 34.720362 34.509190 34.693966   57716900    34.693966
## 2015-01-21 34.984340 35.494676 34.966745 35.459480   74714900    35.459480
## 2015-01-22 35.644247 36.172182 35.477070 36.136986   95318400    36.136986
## 2015-01-23 35.917018 36.040201 35.846629 35.864223   52368100    35.864223
## 2015-01-26 35.749836 35.996203 35.697041 35.881817   47266100    35.881817
## 2015-01-27 35.459471 35.776232 35.450674 35.688244   42525200    35.688244
## 2015-01-28 35.600264 35.635460 35.204313 35.301102   56698000    35.301102
## 2015-01-29 35.257108 35.327501 34.949149 35.301102   53124400    35.301102
## 2015-01-30 34.579586 34.799558 34.333218 34.333218  103745400    34.333218
## 2015-02-02 34.781955 35.081116 34.702765 34.949135   50443600    34.949135
## 2015-02-03 35.336289 35.653049 35.292295 35.609055   48552700    35.609055
## 2015-02-04 35.565056 35.758633 35.380281 35.433075   34900700    35.433075
## 2015-02-05 35.327493 35.670648 35.318691 35.644249   32092400    35.644249
## 2015-02-06 35.116322 35.301097 34.940343 35.037132   64292000    35.037132
## 2015-02-09 34.922746 35.098723 34.913948 34.984337   35632500    34.984337
## 2015-02-10 34.869951 34.949141 34.755565 34.896347   46949400    34.896347
## 2015-02-11 34.614786 34.746771 34.403611 34.641182   44240300    34.641182
## 2015-02-12 35.019537 35.433085 34.993141 35.380291   55855400    35.380291
## 2015-02-13 35.573863 35.802633 35.573863 35.785034   44640000    35.785034
## 2015-02-17 35.679446 35.723439 35.406683 35.705845   30152800    35.705845
## 2015-02-18 35.529874 35.758643 35.433086 35.697052   36036700    35.697052
## 2015-02-19 35.406688 35.732246 35.371492 35.547470   38785800    35.547470
## 2015-02-20 35.415483 35.837829 35.336293 35.785034   32542700    35.785034
## 2015-02-23 35.565064 35.600260 35.345092 35.424282   34091700    35.424282
## 2015-02-24 35.617852 36.040198 35.424275 35.934612   64630500    35.934612
## 2015-02-25 35.829030 35.961012 35.785033 35.864223   28592500    35.864223
## 2015-02-26 35.908224 35.961016 35.811437 35.873028   25889800    35.873028
## 2015-02-27 35.802633 36.075399 35.802633 35.846630   43207600    35.846630
## 2015-03-02 35.758639 35.820231 35.661851 35.793835   36669900    35.793835
## 2015-03-03 35.582653 35.626650 35.503462 35.521061   40406100    35.521061
## 2015-03-04 35.239505 35.257103 34.984336 35.133919   51564400    35.133919
## 2015-03-05 35.195509 35.257101 34.966740 35.081123   33714000    35.081123
## 2015-03-06 34.790759 34.861148 34.465198 34.544388   72516900    34.544388
## 2015-03-09 34.526801 34.553196 34.412415 34.412415   34915600    34.412415
## 2015-03-10 33.893271 33.919667 33.629305 33.646904   84229600    33.646904
## 2015-03-11 33.849281 33.963664 33.752494 33.902073   47978700    33.902073
## 2015-03-12 34.350822 34.386018 34.060457 34.113251   46829700    34.113251
## 2015-03-13 33.849282 33.849282 33.497326 33.699699   69885200    33.699699
## 2015-03-16 34.034057 34.139642 33.963664 34.104446   50569900    34.104446
## 2015-03-17 34.139639 34.517992 34.104443 34.500393   53697700    34.500393
## 2015-03-18 34.421208 35.459475 34.350818 35.345089  101688200    35.345089
## 2015-03-19 35.019523 35.028324 34.641172 34.746761   64499900    34.746761
## 2015-03-20 35.081124 35.345089 35.054728 35.265903   67345300    35.265903
## 2015-03-23 35.336294 35.433081 35.195512 35.371490   35502700    35.371490
## 2015-03-24 35.415483 35.529870 35.371490 35.512272   45280300    35.512272
## 2015-03-25 35.503462 35.538658 34.922737 34.949135   49779900    34.949135
## 2015-03-26 34.781958 34.817154 34.482796 34.623577   76980100    34.623577
## 2015-03-27 34.632384 34.755567 34.561991 34.720371   42212000    34.720371
## 2015-03-30 35.125119 35.459477 35.107525 35.389088   51535700    35.389088
## 2015-03-31 35.169109 35.362682 35.063520 35.309891   47508800    35.309891
## 2015-04-01 35.591467 35.793841 35.512277 35.749847   56392700    35.749847
## 2015-04-02 36.057799 36.374559 35.987410 36.286572   62389200    36.286572
## 2015-04-06 36.629735 36.955292 36.594538 36.752918   54678400    36.752918
## 2015-04-07 36.673716 36.779301 36.559329 36.568130   33279500    36.568130
## 2015-04-08 37.412827 37.474419 37.131264 37.333637   65023100    37.333637
## 2015-04-09 37.553607 37.720785 37.421623 37.703186   52128800    37.703186
## 2015-04-10 37.536019 37.738392 37.509623 37.729595   49899000    37.729595
## 2015-04-13 37.799970 37.931955 37.492011 37.509609   55031100    37.509609
## 2015-04-14 37.597602 37.755982 37.430424 37.676792   42601100    37.676792
## 2015-04-15 37.667995 37.958356 37.597603 37.940758   40254700    37.940758
## 2015-04-16 38.046349 38.459894 37.984754 38.239922   55057700    38.239922
## 2015-04-17 37.439224 37.632800 37.351237 37.571209   76688000    37.571209
## 2015-04-20 37.527218 37.650401 37.500819 37.536015   28811300    37.536015
## 2015-04-21 37.852766 37.931956 37.738379 37.755978   33309100    37.755978
## 2015-04-22 38.011153 38.195928 37.914364 38.160732   29271900    38.160732
## 2015-04-23 38.063946 38.530290 38.046352 38.442299   32056500    38.442299
## 2015-04-24 38.600675 38.627074 38.521485 38.583076   44030100    38.583076
## 2015-04-27 38.732658 38.820646 38.653468 38.732658   41819300    38.732658
## 2015-04-28 38.750253 38.882235 38.627070 38.794247   32442100    38.794247
## 2015-04-29 38.407099 38.512683 38.204721 38.310310   45752900    38.310310
## 2015-04-30 38.002358 38.011159 37.720794 37.729595   98330200    37.729595
## 2015-05-01 37.914365 38.063945 37.720789 37.958359   44928900    37.958359
## 2015-05-04 37.975956 38.239921 37.958357 38.178329   31314300    38.178329
## 2015-05-05 38.002353 38.055147 37.755985 37.764782   38738700    37.764782
## 2015-05-06 37.817582 37.852777 37.228058 37.298447   52439700    37.298447
## 2015-05-07 37.078466 37.254444 37.008076 37.245647   44347000    37.245647
## 2015-05-08 37.676793 37.896765 37.562407 37.720787   56822800    37.720787
## 2015-05-11 37.676795 37.738387 37.324839 37.360035   34705400    37.360035
## 2015-05-12 37.069669 37.333635 37.043270 37.236847   38432500    37.236847
## 2015-05-13 37.580003 37.650395 37.280841 37.307240   41156700    37.307240
## 2015-05-14 37.562406 37.738383 37.509614 37.676792   37071400    37.676792
## 2015-05-15 37.650399 37.975956 37.562408 37.967159   40940700    37.967159
## 2015-05-18 37.755980 37.773578 37.562404 37.580002   35675300    37.580002
## 2015-05-19 37.667996 37.694392 37.571209 37.641598   32065300    37.641598
## 2015-05-20 37.562410 37.720790 37.430428 37.615204   37659200    37.615204
## 2015-05-21 37.342434 37.509614 37.289642 37.483215   27575700    37.483215
## 2015-05-22 37.676789 37.720783 37.527210 37.606400   37907000    37.606400
## 2015-05-26 37.368834 37.377632 36.893694 37.008080   51008600    37.008080
## 2015-05-27 36.717710 37.043267 36.656118 37.016872   35464700    37.016872
## 2015-05-28 36.453742 36.576926 36.321758 36.532932   42689100    36.532932
## 2015-05-29 36.471349 36.506545 36.136990 36.180984   59462200    36.180984
## 2015-06-01 36.198575 36.216173 35.961005 36.040195   52509700    36.040195
## 2015-06-02 36.005006 36.339364 35.952215 36.180984   42331700    36.180984
## 2015-06-03 36.022604 36.128192 35.908220 35.996208   39291400    35.996208
## 2015-06-04 35.679441 35.793827 35.433073 35.450672   46637300    35.450672
## 2015-06-05 35.177911 35.468275 35.116319 35.292297   51982800    35.292297
## 2015-06-08 35.345085 35.389082 35.248300 35.283493   34008200    35.283493
## 2015-06-09 35.142719 35.169118 35.028336 35.072330   33384100    35.072330
## 2015-06-10 35.406689 35.626661 35.389090 35.582664   64828100    35.582664
## 2015-06-11 35.494672 35.503469 35.309896 35.406685   33808000    35.406685
## 2015-06-12 35.415482 35.450679 35.301096 35.406685   40975900    35.406685
## 2015-06-15 34.984332 35.054725 34.905142 35.010731   34097000    35.010731
## 2015-06-16 34.887550 35.072326 34.817158 35.019531   33605900    35.019531
## 2015-06-17 35.028339 35.433086 34.825965 35.230713   70505900    35.230713
## 2015-06-18 35.503468 35.688247 35.441877 35.556263   60019000    35.556263
## 2015-06-19 35.389081 35.512265 35.248299 35.248299   55891700    35.248299
## 2015-06-22 35.855418 35.873015 35.714636 35.758629   45009800    35.758629
## 2015-06-23 35.899425 36.128198 35.890628 36.110600   40579100    36.110600
## 2015-06-24 36.075395 36.136987 35.855423 35.855423   56107100    35.855423
## 2015-06-25 35.900638 35.918367 35.705621 35.732216   33663800    35.732216
## 2015-06-26 35.413097 35.590385 35.359909 35.395367   34721500    35.395367
## 2015-06-29 34.828047 34.961010 34.597572 34.606438   59610800    34.606438
## 2015-06-30 35.226950 35.244675 34.996475 35.120575   61266600    35.120575
## 2015-07-01 35.315588 35.333317 35.014200 35.093979   38622300    35.093979
## 2015-07-02 35.306718 35.475139 35.235802 35.262394   34085800    35.262394
## 2015-07-06 34.322778 34.517792 34.145490 34.278454   66892500    34.278454
## 2015-07-07 33.631358 33.826374 33.161548 33.764324  100698500    33.764324
## 2015-07-08 32.869029 33.019722 32.549912 32.603096   93899000    32.603096
## 2015-07-09 33.595903 33.711136 33.223598 33.232464   72889000    33.232464
## 2015-07-10 34.065703 34.189803 33.852957 34.074566   64726600    34.074566
## 2015-07-13 34.296184 34.384829 34.216404 34.305050   43846200    34.305050
## 2015-07-14 34.145491 34.393692 34.110034 34.367100   30252200    34.367100
## 2015-07-15 34.154354 34.180949 33.941612 33.977070   44039400    33.977070
## 2015-07-16 34.358237 34.455745 34.260732 34.402561   36217600    34.402561
## 2015-07-17 34.455743 34.464609 34.296184 34.358234   35714800    34.358234
## 2015-07-20 34.030256 34.207544 33.879563 34.136627   31707000    34.136627
## 2015-07-21 34.287323 34.313915 34.118902 34.145493   27625400    34.145493
## 2015-07-22 33.861828 33.870691 33.622490 33.657948   39326800    33.657948
## 2015-07-23 33.640226 33.666818 33.303380 33.329971   42787700    33.329971
## 2015-07-24 33.055172 33.064035 32.682868 32.851292   55194200    32.851292
## 2015-07-27 32.301702 32.425806 32.151009 32.230789   73051800    32.230789
## 2015-07-28 32.478989 32.585360 32.266247 32.558769   49701300    32.558769
## 2015-07-29 32.638546 33.019714 32.541038 32.877884   61119900    32.877884
## 2015-07-30 32.514453 32.611961 32.346032 32.549911   44051400    32.549911
## 2015-07-31 32.860155 33.028576 32.771512 32.904476   85020500    32.904476
## 2015-08-03 32.505585 32.532181 32.230793 32.354893   45674700    32.354893
## 2015-08-04 32.629681 32.736053 32.372614 32.470123   38618400    32.470123
## 2015-08-05 32.780378 32.806969 32.416939 32.478989   30785300    32.478989
## 2015-08-06 32.310577 32.328305 32.106696 32.195339   42182300    32.195339
## 2015-08-07 32.195335 32.319435 32.106692 32.177605   37027200    32.177605
## 2015-08-10 32.372620 32.789247 32.337163 32.718330   43071900    32.718330
## 2015-08-11 31.947126 32.044634 31.716651 32.000309   58642500    32.000309
## 2015-08-12 31.424137 31.512779 31.246849 31.503916   64540000    31.503916
## 2015-08-13 31.512779 31.654608 31.397541 31.450729   58165600    31.450729
## 2015-08-14 31.530505 31.628013 31.459592 31.495047   35715200    31.495047
## 2015-08-17 31.042967 31.184796 30.980917 31.149338   42609500    31.149338
## 2015-08-18 30.803622 30.892264 30.706114 30.812485   42639500    30.812485
## 2015-08-19 30.582018 30.741577 30.183121 30.431326  112308600    30.431326
## 2015-08-20 30.023563 30.112208 29.872871 29.952650  116628600    29.952650
## 2015-08-21 29.509436 29.651266 28.995302 29.030760  129140200    29.030760
## 2015-08-24 27.062876 28.560952 26.593064 27.763159  218802300    27.763159
## 2015-08-25 29.482841 29.500570 28.117731 28.117731  135001800    28.117731
## 2015-08-26 28.818016 29.163729 28.286156 29.048491  134618500    29.048491
## 2015-08-27 29.615808 30.387006 29.606946 30.333822  144856300    30.333822
## 2015-08-28 29.872872 30.147664 29.775363 29.943785   68659200    29.943785
## 2015-08-31 29.722173 30.050157 29.465110 29.996969   98538600    29.996969
## 2015-09-01 29.083951 29.270101 28.685055 28.835747   83635900    28.835747
## 2015-09-02 29.287827 29.296690 28.924389 29.252369   55551000    29.252369
## 2015-09-03 29.305557 29.757638 29.261232 29.367607   67468200    29.367607
## 2015-09-04 28.818014 28.906660 28.321613 28.490034   81962800    28.490034
## 2015-09-08 29.270096 29.438518 29.128267 29.394197   53584300    29.394197
## 2015-09-09 29.943786 29.996973 29.243505 29.243505   56389200    29.243505
## 2015-09-10 29.323288 29.722181 29.252372 29.544897   49745400    29.544897
## 2015-09-11 29.465120 29.695591 29.403066 29.660133   42195900    29.660133
## 2015-09-14 29.562617 29.651263 29.385334 29.615805   39313800    29.615805
## 2015-09-15 29.606942 29.979243 29.571484 29.899464   51913600    29.899464
## 2015-09-16 30.387003 30.750442 30.342683 30.626341   85209600    30.626341
## 2015-09-17 30.387006 31.335492 30.369277 30.555431  105902400    30.555431
## 2015-09-18 30.254040 30.475649 29.864006 29.988110   90964900    29.988110
## 2015-09-21 29.996975 30.059026 29.819688 29.934925   45318300    29.934925
## 2015-09-22 29.287827 29.403061 29.145998 29.376469   58874100    29.376469
## 2015-09-23 29.243508 29.278963 28.897795 28.906662   44721000    28.906662
## 2015-09-24 28.454574 28.924388 28.312747 28.782558   79880800    28.782558
## 2015-09-25 29.199181 29.199181 28.676184 28.720509   59861600    28.720509
## 2015-09-28 28.490031 28.498898 28.020222 28.108864   58659500    28.108864
## 2015-09-29 28.206373 28.383660 28.046813 28.241831   52829500    28.241831
## 2015-09-30 28.977569 29.119398 28.791418 29.057348   80422200    29.057348
## 2015-10-01 29.296688 29.358739 28.995300 29.216909   48402600    29.216909
## 2015-10-02 29.083942 30.005832 28.977568 29.996969   83904700    29.996969
## 2015-10-05 30.342682 30.661799 30.289494 30.644070   77869000    30.644070
## 2015-10-06 30.537702 30.661802 30.422464 30.590885   47313400    30.590885
## 2015-10-07 31.344358 31.601426 31.167070 31.406408   97905900    31.406408
## 2015-10-08 31.220255 31.787574 31.184797 31.743252   64163600    31.743252
## 2015-10-09 32.062373 32.142153 31.707801 31.858494   61563400    31.858494
## 2015-10-12 31.911669 31.929398 31.583689 31.619144   44030200    31.619144
## 2015-10-13 31.246851 31.512780 31.078429 31.105021   72241600    31.105021
## 2015-10-14 31.326627 31.495049 31.237986 31.344357   57724900    31.344357
## 2015-10-15 31.858489 32.124423 31.672339 32.106693   60410800    32.106693
## 2015-10-16 31.991452 32.142145 31.823031 32.133282   65003800    32.133282
## 2015-10-19 31.796439 31.823035 31.645747 31.805305   52354600    31.805305
## 2015-10-20 31.725519 31.849619 31.654602 31.796432   44212500    31.796432
## 2015-10-21 31.592556 31.619148 31.317764 31.335489   55037000    31.335489
## 2015-10-22 31.663472 32.053503 31.663472 31.982590   56963300    31.982590
## 2015-10-23 32.221926 32.283977 32.044643 32.168743   53727000    32.168743
## 2015-10-26 32.009182 32.026911 31.840757 31.876215   41789200    31.876215
## 2015-10-27 31.539373 31.654607 31.441864 31.512777   56392800    31.512777
## 2015-10-28 31.583693 31.734385 30.972051 31.149338  125416000    31.149338
## 2015-10-29 30.847951 30.998647 30.794767 30.856817   63886000    30.856817
## 2015-10-30 31.087290 31.096156 30.892272 30.910002   72076000    30.910002
## 2015-11-02 31.175929 31.521641 31.158203 31.521641   51896500    31.521641
## 2015-11-03 31.432997 32.062365 31.424134 31.938265   68335400    31.938265
## 2015-11-04 32.133278 32.151007 31.583689 31.681198   69243600    31.681198
## 2015-11-05 31.654606 31.840756 31.530506 31.734385   43303000    31.734385
## 2015-11-06 31.034101 31.335489 30.865680 31.291168   65547200    31.291168
## 2015-11-09 30.839089 30.945460 30.440192 30.511105   76448600    30.511105
## 2015-11-10 30.378141 30.457921 30.245175 30.378141   53876200    30.378141
## 2015-11-11 30.617481 30.626344 30.387006 30.440193   34433100    30.440193
## 2015-11-12 30.307222 30.511101 30.121072 30.147663   53097900    30.147663
## 2015-11-13 29.943784 29.970379 29.642396 29.731041   72046800    29.731041
## 2015-11-16 29.819685 30.316090 29.766501 30.307224   61895300    30.307224
## 2015-11-17 30.351553 30.404737 30.165399 30.218586   58447500    30.218586
## 2015-11-18 30.183122 30.582018 30.156529 30.546560   48166100    30.546560
## 2015-11-19 30.741584 30.901143 30.688397 30.821363   68973900    30.821363
## 2015-11-20 31.122750 31.291171 31.034104 31.131613   73122400    31.131613
## 2015-11-23 30.998645 31.060696 30.812491 30.839087   55352100    30.839087
## 2015-11-24 30.635207 31.051830 30.608613 30.998646   62017500    30.998646
## 2015-11-25 30.803633 30.830225 30.644075 30.759312   37938300    30.759312
## 2015-11-27 30.351552 30.360415 30.050164 30.085619   54817200    30.085619
## 2015-11-30 30.005836 30.165395 29.934922 30.129940   91134900    30.129940
## 2015-12-01 30.280636 30.404736 30.218585 30.360415   56692100    30.360415
## 2015-12-02 30.183120 30.227440 29.872869 29.996969   59091000    29.996969
## 2015-12-03 30.112208 30.129938 29.713312 29.828550   52692500    29.828550
## 2015-12-04 29.580345 30.085613 29.580345 30.032429   79516400    30.032429
## 2015-12-07 29.748771 29.766501 29.456247 29.536026   47613100    29.536026
## 2015-12-08 28.933251 29.234640 28.862338 29.208048   71352200    29.208048
## 2015-12-09 29.119402 29.420791 28.897793 28.968710   66422800    28.968710
## 2015-12-10 28.888928 29.004166 28.711641 28.773691   59281000    28.773691
## 2015-12-11 28.179779 28.215236 27.922712 27.967033   89806000    27.967033
## 2015-12-14 28.259559 28.436849 28.002493 28.419119   83798000    28.419119
## 2015-12-15 28.773691 28.968707 28.764828 28.853470   78124300    28.853470
## 2015-12-16 29.075082 29.571488 28.950982 29.420792  105082200    29.420792
## 2015-12-17 29.438516 29.465111 29.039619 29.039619   93646700    29.039619
## 2015-12-18 29.048488 29.128269 28.880068 28.942118   96868900    28.942118
## 2015-12-21 29.222093 29.249103 28.961020 29.168081   64002400    29.168081
## 2015-12-22 29.177081 29.411144 29.141070 29.402143   49664600    29.402143
## 2015-12-23 29.627206 29.843267 29.618205 29.816257   47464000    29.816257
## 2015-12-24 29.645212 29.762245 29.627207 29.708229   21532700    29.708229
## 2015-12-28 29.474167 29.519179 29.375139 29.501173   38299200    29.501173
## 2015-12-29 29.582194 29.645210 29.492166 29.528177   43931500    29.528177
## 2015-12-30 29.240098 29.285110 29.051046 29.069052   51320000    29.069052
## 2015-12-31 29.069050 29.186079 28.970021 28.979023   44184700    28.979023
## 2016-01-04 28.222815 28.249821 27.952739 28.186804   83489100    28.186804
## 2016-01-05 28.312845 28.357857 28.177806 28.249826   57773900    28.249826
## 2016-01-06 27.718681 27.898730 27.601648 27.709679   65835100    27.709679
## 2016-01-07 26.998475 27.376580 26.836429 26.854435   88974700    26.854435
## 2016-01-08 27.034486 27.133511 26.557353 26.566355   73528000    26.566355
## 2016-01-11 26.818427 26.836430 26.314287 26.557354   56225500    26.557354
## 2016-01-12 26.746405 26.872441 26.422317 26.611368   61357500    26.611368
## 2016-01-13 26.917455 27.007480 26.269276 26.332293   71788700    26.332293
## 2016-01-14 26.359304 26.773417 26.161247 26.674389   65521200    26.674389
## 2016-01-15 25.630098 25.792144 25.279002 25.621096  117573900    25.621096
## 2016-01-19 26.287281 26.323290 25.801145 25.999199   79535100    25.999199
## 2016-01-20 25.360023 25.621094 24.855884 25.432043  103223500    25.432043
## 2016-01-21 25.423044 25.864166 25.233993 25.531075   81845900    25.531075
## 2016-01-22 26.341295 26.413314 26.161244 26.404312   75886600    26.404312
## 2016-01-25 26.224263 26.332294 25.936183 25.954189   59623300    25.954189
## 2016-01-26 26.098228 26.377305 26.053217 26.332293   60020100    26.332293
## 2016-01-27 26.323292 26.611371 26.062221 26.242270   74020200    26.242270
## 2016-01-28 26.755410 26.818429 26.431322 26.656384   84739900    26.656384
## 2016-01-29 27.079500 27.547629 27.052491 27.520622   81973800    27.520622
## 2016-02-01 27.061493 27.340572 26.989474 27.259550   43254600    27.259550
## 2016-02-02 26.809428 26.845437 26.305286 26.377306   75516000    26.377306
## 2016-02-03 26.656386 27.142520 26.215264 27.124514  117143200    27.124514
## 2016-02-04 27.331572 27.673666 27.160524 27.331572   99923300    27.331572
## 2016-02-05 27.223536 27.313561 26.908448 27.016479   70370700    27.016479
## 2016-02-08 26.602366 26.773414 26.332292 26.647379   72716800    26.647379
## 2016-02-09 26.143241 26.584363 26.008201 26.278278   67275700    26.278278
## 2016-02-10 26.575360 26.872443 26.377305 26.386307   67192400    26.386307
## 2016-02-11 25.855159 26.125235 25.747130 25.945185   86795500    25.945185
## 2016-02-12 26.170249 26.404313 26.044214 26.395311   68436000    26.395311
## 2016-02-16 26.890451 27.016485 26.773418 26.980474   54396200    26.980474
## 2016-02-17 27.223537 27.574633 27.196529 27.511616   69297600    27.511616
## 2016-02-18 27.610648 27.610648 27.286558 27.349575   59141200    27.349575
## 2016-02-19 27.178527 27.358575 27.079499 27.223539   59069000    27.223539
## 2016-02-22 27.682667 27.898727 27.637656 27.898727   42673400    27.898727
## 2016-02-23 27.583638 27.628653 27.268553 27.304562   54666100    27.304562
## 2016-02-24 26.863440 27.340573 26.710398 27.241545   59334200    27.241545
## 2016-02-25 27.205535 27.367581 27.007481 27.331572   45895100    27.331572
## 2016-02-26 27.511620 27.529626 27.034489 27.061495   54635600    27.061495
## 2016-02-29 27.331572 27.556634 27.268554 27.295561   65543100    27.295561
## 2016-03-01 27.817703 28.285833 27.808700 28.267828   69324500    28.267828
## 2016-03-02 28.303839 28.663938 28.240822 28.645933   66977500    28.645933
## 2016-03-03 28.672940 28.979024 28.636929 28.970022   69856900    28.970022
## 2016-03-04 29.249103 29.672217 29.177081 29.546183  102487700    29.546183
## 2016-03-07 29.258106 29.645213 29.231099 29.501173   67816600    29.501173
## 2016-03-08 29.141068 29.186079 28.888999 28.997028   50510100    28.997028
## 2016-03-09 29.186083 29.339127 29.087058 29.177082   54890300    29.177082
## 2016-03-10 29.348128 29.402145 28.798978 29.222094   69716400    29.222094
## 2016-03-11 29.663217 29.897280 29.627207 29.834263   74998500    29.834263
## 2016-03-14 29.735229 29.843262 29.573184 29.654207   43838500    29.654207
## 2016-03-15 29.204089 29.240100 29.069053 29.231098   66967800    29.231098
## 2016-03-16 28.997030 29.897279 28.988029 29.816257   98218500    29.816257
## 2016-03-17 30.221370 30.545460 30.068329 30.473438  114746800    30.473438
## 2016-03-18 30.626481 30.779523 30.599476 30.635483  102194600    30.635483
## 2016-03-21 30.599479 30.770525 30.554464 30.698503   59921400    30.698503
## 2016-03-22 30.428430 30.752521 30.419430 30.626486   41960900    30.626486
## 2016-03-23 30.374418 30.374418 30.068333 30.104340   58628500    30.104340
## 2016-03-24 29.780251 30.041321 29.708229 30.032320   61479100    30.032320
## 2016-03-28 30.050322 30.140346 29.996306 30.131344   40595500    30.131344
## 2016-03-29 30.131344 30.554460 29.888277 30.545458   81638800    30.545458
## 2016-03-30 31.004590 31.130628 30.851548 30.860550   53128600    30.860550
## 2016-03-31 30.968579 31.067603 30.743517 30.833540  109595100    30.833540
## 2016-04-01 30.176358 30.797529 30.086331 30.743517   76178800    30.743517
## 2016-04-04 30.725509 30.734510 30.347403 30.374413   46429000    30.374413
## 2016-04-05 29.897277 29.996305 29.726230 29.780247   61660900    29.780247
## 2016-04-06 29.699227 30.149351 29.618204 30.140347   56608700    30.140347
## 2016-04-07 29.744237 29.807255 29.465159 29.537180   75406000    29.537180
## 2016-04-08 30.185359 30.221369 29.933290 30.050323   44785200    30.050323
## 2016-04-11 30.545458 30.653487 30.392414 30.437429   63972000    30.437429
## 2016-04-12 30.437430 31.004586 30.410421 30.905561   70261600    30.905561
## 2016-04-13 31.400703 31.472721 31.265665 31.454716   95376400    31.454716
## 2016-04-14 31.400704 31.427711 31.256664 31.301676   49781400    31.301676
## 2016-04-15 31.265660 31.319676 31.121620 31.121620   61733700    31.121620
## 2016-04-18 31.013592 31.418705 30.950575 31.265661   51810600    31.265661
## 2016-04-19 31.571744 31.814812 31.535734 31.742790   70368800    31.742790
## 2016-04-20 31.490727 31.760801 31.373693 31.598755   51670100    31.598755
## 2016-04-21 31.517732 31.517732 31.220652 31.283669   59286600    31.283669
## 2016-04-22 31.157625 31.373683 31.067598 31.094608   43727100    31.094608
## 2016-04-25 31.076605 31.076605 30.851543 30.896555   40116100    30.896555
## 2016-04-26 31.130622 31.238651 31.040596 31.229647   46394300    31.229647
## 2016-04-27 31.103613 31.472715 31.013590 31.418703   56192100    31.418703
## 2016-04-28 31.103609 31.373683 31.022586 31.094608   51718900    31.094608
## 2016-04-29 31.094615 31.130626 30.707508 30.959576   86482700    30.959576
## 2016-05-02 30.959573 30.968579 30.734511 30.878551   36887000    30.878551
## 2016-05-03 30.293390 30.347402 29.996306 30.005310   94755400    30.005310
## 2016-05-04 29.816253 29.870269 29.501167 29.519173  105838400    29.519173
## 2016-05-05 29.807258 29.843269 29.420150 29.510174   83029500    29.510174
## 2016-05-06 29.411142 29.681219 29.393140 29.555185   81640000    29.555185
## 2016-05-09 29.492167 29.501172 29.096060 29.177082   84074300    29.177082
## 2016-05-10 29.501165 29.753234 29.492161 29.735229   69384400    29.735229
## 2016-05-11 29.708226 29.870270 29.591192 29.663214   58600300    29.663214
## 2016-05-12 29.834261 29.888278 29.474164 29.582193   63469800    29.582193
## 2016-05-13 29.330125 29.456159 28.997030 29.051046   62246800    29.051046
## 2016-05-16 29.339126 29.501170 29.330125 29.402143   51206600    29.402143
## 2016-05-17 29.339127 29.474166 29.186083 29.267105   63616400    29.267105
## 2016-05-18 29.069050 29.375134 28.816977 28.979023   91541300    28.979023
## 2016-05-19 28.735958 28.807978 28.537904 28.708950   74455000    28.708950
## 2016-05-20 28.979023 29.078050 28.943016 28.997028   54928300    28.997028
## 2016-05-23 28.934013 29.123064 28.916008 28.943018   52648200    28.943018
## 2016-05-24 29.096055 29.303112 29.069049 29.240095   58219200    29.240095
## 2016-05-25 29.519176 29.726232 29.501170 29.591194   53340200    29.591194
## 2016-05-26 29.825262 29.879275 29.627206 29.789251   48215100    29.789251
## 2016-05-27 29.897277 29.960294 29.699225 29.780247   43342900    29.780247
## 2016-05-31 29.852268 29.978302 29.735235 29.816257   94760100    29.816257
## 2016-06-01 29.699228 29.861269 29.627206 29.798252   52115100    29.798252
## 2016-06-02 29.771243 30.077328 29.726231 30.041317   48252500    30.041317
## 2016-06-03 30.410419 30.518452 30.176355 30.500446   89424800    30.500446
## 2016-06-06 30.617474 30.878547 30.590468 30.824535  110069500    30.824535
## 2016-06-07 31.022589 31.139622 30.995582 31.103611   59934000    31.103611
## 2016-06-08 31.310671 31.382693 31.202642 31.328676   75850100    31.328676
## 2016-06-09 30.905563 31.040598 30.860547 30.968580   54934300    30.968580
## 2016-06-10 30.338406 30.473441 30.113344 30.185362   77417500    30.185362
## 2016-06-13 29.789252 30.041321 29.726234 29.762245   56865500    29.762245
## 2016-06-14 29.672215 29.816255 29.420146 29.663214   71023800    29.663214
## 2016-06-15 29.969305 30.239379 29.870277 29.978306   64707000    29.978306
## 2016-06-16 29.438153 29.897279 29.249102 29.870272   73981900    29.870272
## 2016-06-17 29.924290 29.969302 29.726234 29.951296   56740400    29.951296
## 2016-06-20 30.518450 30.680495 30.455432 30.482439   78204200    30.482439
## 2016-06-21 30.626487 30.806538 30.455441 30.716511   75173100    30.716511
## 2016-06-22 30.921561 30.994145 30.740095 30.794533   67273500    30.794533
## 2016-06-23 31.211905 31.538538 31.075805 31.538538   70159900    31.538538
## 2016-06-24 29.723892 30.359019 29.551502 29.624090  158566000    29.624090
## 2016-06-27 29.487988 29.497060 28.934520 29.243011  101826000    29.243011
## 2016-06-28 29.941651 30.123116 29.832773 30.104969   68332900    30.104969
## 2016-06-29 30.685661 30.867126 30.631220 30.867126   82587300    30.867126
## 2016-06-30 31.003219 31.257272 30.858047 31.175613   92761700    31.175613
## 2016-07-01 31.411512 31.529465 31.338928 31.475025   66514800    31.475025
## 2016-07-05 31.039512 31.066735 30.758245 30.803610   63420200    30.803610
## 2016-07-06 30.386240 30.721949 30.241069 30.721949   61084500    30.721949
## 2016-07-07 30.867120 30.957851 30.549555 30.640289   49586800    30.640289
## 2016-07-08 30.985078 31.311710 30.948784 31.302639   74907900    31.302639
## 2016-07-11 31.565761 31.710933 31.547614 31.602055   70202000    31.602055
## 2016-07-12 32.019427 32.146452 31.928693 32.046646   89275200    32.046646
## 2016-07-13 32.055717 32.073860 31.783518 31.992201   62034300    31.992201
## 2016-07-14 32.346064 32.545672 32.273476 32.454941   99969200    32.454941
## 2016-07-15 32.427720 32.454938 32.255326 32.382351   82124300    32.382351
## 2016-07-18 32.282543 32.681763 32.282543 32.672688   75861700    32.672688
## 2016-07-19 32.382349 32.445861 32.228105 32.336983   54832700    32.336983
## 2016-07-20 32.409578 32.572897 32.318843 32.500309   48091500    32.500309
## 2016-07-21 32.427719 32.563815 32.309767 32.400497   56354300    32.400497
## 2016-07-22 32.509374 32.645470 32.409567 32.636398   45498600    32.636398
## 2016-07-25 32.518448 32.527520 32.282546 32.309765   44174100    32.309765
## 2016-07-26 32.491228 32.627325 32.445859 32.563812   63593800    32.563812
## 2016-07-27 32.618251 32.772494 32.346055 32.672688   67888600    32.672688
## 2016-07-28 32.618247 32.681759 32.473076 32.681759   45590000    32.681759
## 2016-07-29 32.690838 32.890450 32.545666 32.854156   85265700    32.854156
## 2016-08-01 32.935821 32.990262 32.745284 32.790649   57794000    32.790649
## 2016-08-02 32.736206 32.817862 32.318835 32.554741   81854600    32.554741
## 2016-08-03 32.327915 32.681770 32.255328 32.663624   42844900    32.663624
## 2016-08-04 32.754350 32.981181 32.681766 32.845085   70532500    32.845085
## 2016-08-05 33.080982 33.262448 32.990252 33.226154   55760000    33.226154
## 2016-08-08 33.443921 33.534651 33.407627 33.462067   43636800    33.462067
## 2016-08-09 33.589090 33.824993 33.580015 33.688896   65823600    33.688896
## 2016-08-10 33.861287 33.879433 33.598162 33.697968   59111700    33.697968
## 2016-08-11 33.834069 34.151630 33.788704 34.133484   82544300    34.133484
## 2016-08-12 34.024608 34.115339 33.870365 34.006462   54790400    34.006462
## 2016-08-15 34.260504 34.460116 34.251432 34.360310   55160100    34.360310
## 2016-08-16 34.287729 34.287729 34.088117 34.206070   62084000    34.206070
## 2016-08-17 33.942943 34.079042 33.661671 33.988308  106432500    33.988308
## 2016-08-18 34.206068 34.324021 34.115334 34.305874   63045700    34.305874
## 2016-08-19 33.933876 34.142559 33.788704 34.115337   63995700    34.115337
## 2016-08-22 33.797778 33.797778 33.561876 33.661678   62902100    33.661678
## 2016-08-23 33.952024 34.024612 33.498363 33.525585   72475000    33.525585
## 2016-08-24 33.471134 33.661671 33.407623 33.616306   75080700    33.616306
## 2016-08-25 33.489285 33.661675 33.489285 33.643532   56434300    33.643532
## 2016-08-26 33.716115 34.069970 33.090063 33.353184  178796200    33.353184
## 2016-08-29 33.353182 33.652600 33.335039 33.607235   49578800    33.607235
## 2016-08-30 33.652605 33.770558 33.462068 33.516506   48196900    33.516506
## 2016-08-31 33.344113 33.380407 33.044695 33.144501   98943200    33.144501
## 2016-09-01 33.180798 33.398556 33.099139 33.398556   67120400    33.398556
## 2016-09-02 33.852216 33.961093 33.707045 33.942947   88393000    33.942947
## 2016-09-06 34.396612 34.696030 34.324028 34.668808  108573800    34.668808
## 2016-09-07 34.677874 34.696021 34.487333 34.559921   58618800    34.559921
## 2016-09-08 34.569002 34.668808 34.387541 34.469200   73367300    34.469200
## 2016-09-09 33.933867 33.942939 33.289666 33.307812  124082600    33.307812
## 2016-09-12 32.854161 33.661677 32.790648 33.534653  119811600    33.534653
## 2016-09-13 33.035618 33.162642 32.527515 32.690834  160782500    32.690834
## 2016-09-14 32.799725 33.153580 32.772503 32.790649   90163100    32.790649
## 2016-09-15 33.026551 33.434843 32.881380 33.353184   87331100    33.353184
## 2016-09-16 33.080993 33.171727 32.817868 33.126358   92612000    33.126358
## 2016-09-19 33.543724 33.661673 33.335040 33.389477   55874700    33.389477
## 2016-09-20 33.652600 33.652600 33.398551 33.407623   48531200    33.407623
## 2016-09-21 33.734270 34.387545 33.634465 34.342175  123874800    34.342175
## 2016-09-22 34.641583 34.768608 34.460119 34.587143   73865400    34.587143
## 2016-09-23 34.305877 34.396608 34.124413 34.142559   56201900    34.142559
## 2016-09-26 33.834069 33.915728 33.643532 33.643532   47253900    33.643532
## 2016-09-27 33.888502 34.124409 33.743332 34.124409   60877300    34.124409
## 2016-09-28 34.178850 34.460122 33.870364 34.432903   82411300    34.432903
## 2016-09-29 34.251432 34.342162 33.734258 33.834064   74659100    33.834064
## 2016-09-30 33.988311 34.106264 33.824993 33.979240   85539100    33.979240
## 2016-10-03 34.051827 34.278658 33.915730 34.215145   77690300    34.215145
## 2016-10-04 34.233285 34.314944 33.725183 33.834064   95339800    33.834064
## 2016-10-05 34.178845 34.369385 34.069967 34.324020   61950100    34.324020
## 2016-10-06 34.142558 34.378460 34.060899 34.351242   45429700    34.351242
## 2016-10-07 34.396607 34.441972 33.933874 34.196995   77792800    34.196995
## 2016-10-10 34.423825 34.650656 34.369388 34.568996   56113700    34.568996
## 2016-10-11 33.970159 33.988306 33.598157 33.770550   79646900    33.770550
## 2016-10-12 33.661673 33.824992 33.552796 33.707043   48482900    33.707043
## 2016-10-13 33.189867 33.534647 33.008402 33.407623   67497300    33.407623
## 2016-10-14 33.688898 33.761482 33.398554 33.462067   54235800    33.462067
## 2016-10-17 33.416699 33.552795 33.389476 33.425770   37742300    33.425770
## 2016-10-18 33.997383 34.079042 33.879430 34.015530   50174900    34.015530
## 2016-10-19 34.178844 34.296797 34.051820 34.224213   49171200    34.224213
## 2016-10-20 34.106262 34.269580 33.997384 34.124409   55283900    34.124409
## 2016-10-21 33.924800 34.142559 33.879435 34.115337   33058500    34.115337
## 2016-10-24 34.387538 34.414756 34.169779 34.260509   28142200    34.260509
## 2016-10-25 34.233294 34.360319 34.178853 34.296806   32233900    34.296806
## 2016-10-26 33.915733 34.097198 33.824999 33.933880   50715500    33.933880
## 2016-10-27 33.961093 33.961093 33.616310 33.643532   47287000    33.643532
## 2016-10-28 33.679817 33.824989 33.344109 33.507427   69558100    33.507427
## 2016-10-31 33.661674 33.815921 33.616309 33.697968   60365100    33.697968
## 2016-11-01 33.824991 33.834066 33.162645 33.425770   90113200    33.425770
## 2016-11-02 33.298750 33.389480 32.872307 33.026554   82319300    33.026554
## 2016-11-03 33.062843 33.162649 32.817865 32.935818   67403000    32.935818
## 2016-11-04 32.672693 32.826940 32.554744 32.600109   78558900    32.600109
## 2016-11-07 33.398550 33.815918 33.344110 33.779625   85341300    33.779625
## 2016-11-08 33.779625 34.178845 33.543722 33.997383   83963300    33.997383
## 2016-11-09 32.972105 33.289667 32.745274 32.890446  193443900    32.890446
## 2016-11-10 32.591029 32.708982 31.792588 31.955906  206490900    31.955906
## 2016-11-11 31.348000 31.611125 30.957851 31.348000  182114700    31.348000
## 2016-11-14 31.139319 31.302637 30.876195 31.121172  107881600    31.121172
## 2016-11-15 31.366148 31.801662 31.348000 31.747225   89937000    31.747225
## 2016-11-16 31.375224 31.565761 31.320783 31.484102   65387900    31.484102
## 2016-11-17 31.592983 31.774447 31.475030 31.529470   80829200    31.529470
## 2016-11-18 31.592973 31.656485 31.366143 31.384289   51490500    31.384289
## 2016-11-21 31.665569 31.783518 31.602057 31.692787   45251800    31.692787
## 2016-11-22 32.155522 32.191815 31.937766 32.173668   61503100    32.173668
## 2016-11-23 31.720007 31.874253 31.647423 31.828888   43495600    31.828888
## 2016-11-25 32.010345 32.037566 31.937761 31.983126   28572700    31.983126
## 2016-11-28 32.110153 32.237178 32.073859 32.110153   50953000    32.110153
## 2016-11-29 32.010342 32.255319 31.974052 32.155514   36457700    32.155514
## 2016-11-30 32.300687 32.346057 32.191811 32.209957   86930300    32.209957
## 2016-12-01 32.119231 32.191815 31.819813 31.828888   80947500    31.828888
## 2016-12-02 31.828885 32.019422 31.810737 31.865175   58727500    31.865175
## 2016-12-05 32.019422 32.155519 32.001275 32.128300   53275100    32.128300
## 2016-12-06 32.228113 32.309773 32.146454 32.300697   48356900    32.300697
## 2016-12-07 32.500301 32.881379 32.445860 32.845085   61773300    32.845085
## 2016-12-08 32.754354 33.035626 32.736211 32.990261   60291800    32.990261
## 2016-12-09 32.790641 32.917666 32.727130 32.817860   60173400    32.817860
## 2016-12-12 32.636403 32.754352 32.509379 32.600109   40766300    32.600109
## 2016-12-13 32.790645 33.035623 32.781574 32.963039   48943200    32.963039
## 2016-12-14 32.699912 32.817861 31.974055 31.983126   95190000    31.983126
## 2016-12-15 32.001277 32.164596 31.910543 32.037571   68897000    32.037571
## 2016-12-16 31.964987 32.064793 31.801668 31.892403   75471100    31.892403
## 2016-12-19 31.910543 31.919618 31.674641 31.674641   45241700    31.674641
## 2016-12-20 31.765367 31.847026 31.701855 31.783514   39157800    31.783514
## 2016-12-21 31.834912 31.844090 31.623841 31.651375   52040600    31.651375
## 2016-12-22 31.311821 31.330175 31.146636 31.275116   48802800    31.275116
## 2016-12-23 31.302642 31.458649 31.275112 31.458649   32062900    31.458649
## 2016-12-27 31.532072 31.633019 31.522892 31.596310   25959900    31.596310
## 2016-12-28 31.862441 31.899146 31.752314 31.834908   33745600    31.834908
## 2016-12-29 32.156103 32.394703 32.137749 32.357994   48465500    32.357994
## 2016-12-30 32.348820 32.367174 32.036803 32.128571   60515600    32.128571
## 2017-01-03 32.477295 32.715899 32.394702 32.514004   64483700    32.514004
## 2017-01-04 32.697545 32.826022 32.679191 32.761784   83072600    32.761784
## 2017-01-05 33.000380 33.174746 32.982027 33.119682   60303200    33.119682
## 2017-01-06 33.009562 33.037092 32.890260 32.982029   33132200    32.982029
## 2017-01-09 32.963673 33.037091 32.917789 32.954498   33950800    32.954498
## 2017-01-10 33.156392 33.330753 33.128858 33.147213   46621700    33.147213
## 2017-01-11 33.211453 33.569358 33.082976 33.541824   92509300    33.541824
## 2017-01-12 33.679481 33.688656 33.514294 33.688656   38318100    33.688656
## 2017-01-13 33.560182 33.688659 33.523474 33.661129   35242000    33.661129
## 2017-01-17 33.587709 33.697836 33.541825 33.642773   38367000    33.642773
## 2017-01-18 33.661123 33.670299 33.394990 33.459229   37054200    33.459229
## 2017-01-19 33.468414 33.477590 33.220636 33.358288   52877000    33.358288
## 2017-01-20 33.394990 33.468408 33.238983 33.422520   59295600    33.422520
## 2017-01-23 33.651946 33.927258 33.633596 33.918079   51401800    33.918079
## 2017-01-24 34.064911 34.257630 34.046556 34.129150   45519900    34.129150
## 2017-01-25 34.367753 34.523760 34.285160 34.505405   42660800    34.505405
## 2017-01-26 34.496229 34.505405 34.331044 34.358574   43300100    34.358574
## 2017-01-27 34.358575 34.431992 34.248453 34.386108   30457500    34.386108
## 2017-01-30 34.138330 34.211744 34.055737 34.202568   34712000    34.202568
## 2017-01-31 34.239281 34.331050 34.138334 34.266811   67258600    34.266811
## 2017-02-01 34.404462 34.468699 34.193388 34.285160   54321500    34.285160
## 2017-02-02 34.395284 34.468701 34.340220 34.431992   26814000    34.431992
## 2017-02-03 34.578820 34.707298 34.505403 34.643059   34305200    34.643059
## 2017-02-06 34.606351 34.643060 34.532937 34.560467   30250100    34.560467
## 2017-02-07 34.487056 34.523761 34.349399 34.386108   31693700    34.386108
## 2017-02-08 34.404457 34.633881 34.395278 34.597172   37862900    34.597172
## 2017-02-09 34.597178 34.817424 34.597178 34.753185   38286700    34.753185
## 2017-02-10 34.835776 35.074379 34.817422 35.074379   38798700    35.074379
## 2017-02-13 35.074382 35.221214 35.065203 35.184505   34007000    35.184505
## 2017-02-14 35.184505 35.221214 34.900018 35.221214   55327300    35.221214
## 2017-02-15 35.230386 35.524049 35.193677 35.505695   49527300    35.505695
## 2017-02-16 35.542410 35.542410 35.349694 35.377224   42986800    35.377224
## 2017-02-17 35.101912 35.239569 35.074382 35.230389   54880700    35.230389
## 2017-02-21 35.450641 35.625002 35.413932 35.615826   42603700    35.615826
## 2017-02-22 35.560763 35.725948 35.542409 35.725948   39083500    35.725948
## 2017-02-23 35.909483 35.927838 35.680059 35.735119   46763100    35.735119
## 2017-02-24 35.303805 35.386398 35.257917 35.312981   44575100    35.312981
## 2017-02-27 35.212029 35.312977 35.120260 35.202854   53625500    35.202854
## 2017-02-28 35.166150 35.175329 34.854133 34.863312   71508900    34.863312
## 2017-03-01 35.147797 35.423105 35.129443 35.404755   93966300    35.404755
## 2017-03-02 35.056024 35.120262 34.771536 34.780716   63518000    34.780716
## 2017-03-03 34.945900 35.083553 34.835774 35.046844   54969900    35.046844
## 2017-03-06 35.101910 35.111085 34.955078 35.065201   30455800    35.065201
## 2017-03-07 35.175328 35.193678 35.037671 35.101910   43470400    35.101910
## 2017-03-08 35.019317 35.074380 34.744009 34.771538   60587000    34.771538
## 2017-03-09 34.597179 34.652238 34.312691 34.496231   64159100    34.496231
## 2017-03-10 34.771541 34.881664 34.688949 34.881664   45184900    34.881664
## 2017-03-13 35.248744 35.395576 35.212036 35.368046   42405900    35.368046
## 2017-03-14 35.257921 35.303808 35.138623 35.166153   56600300    35.166153
## 2017-03-15 35.349685 36.148081 35.248739 36.083843  124080900    36.083843
## 2017-03-16 36.340794 36.386683 36.193964 36.304089  137911800    36.304089
## 2017-03-17 36.340804 36.359159 36.212327 36.239861   68267900    36.239861
## 2017-03-20 36.469284 36.762946 36.414220 36.661999   70310000    36.661999
## 2017-03-21 36.845535 36.918949 36.230676 36.258205   71712900    36.258205
## 2017-03-22 36.230674 36.515161 36.138905 36.432568   70134100    36.432568
## 2017-03-23 36.304093 36.570223 36.294914 36.441746   53877500    36.441746
## 2017-03-24 36.414222 36.597763 36.405044 36.533524   68871400    36.533524
## 2017-03-27 36.294912 36.496806 36.184789 36.432568   52896700    36.432568
## 2017-03-28 36.405044 36.643647 36.405044 36.533524   51799000    36.533524
## 2017-03-29 36.450927 36.625289 36.377510 36.597759   36857000    36.597759
## 2017-03-30 36.450925 36.561047 36.377507 36.405037   33282500    36.405037
## 2017-03-31 36.175613 36.230677 36.074669 36.148083   94971500    36.148083
## 2017-04-03 36.258207 36.386688 36.129730 36.349979   60048300    36.349979
## 2017-04-04 36.276568 36.423400 36.212330 36.368340   44136500    36.368340
## 2017-04-05 36.524338 36.616110 36.239855 36.258205   44099200    36.258205
## 2017-04-06 36.221503 36.285742 36.083847 36.193970   35544800    36.193970
## 2017-04-07 36.120555 36.294915 36.093025 36.129730   40355800    36.129730
## 2017-04-10 35.992078 36.028783 35.872776 35.982899   33853800    35.982899
## 2017-04-11 35.973725 36.019609 35.689237 35.900307   46002800    35.900307
## 2017-04-12 36.056319 36.083849 35.854425 36.074673   55149100    36.074673
## 2017-04-13 36.157267 36.249035 35.909488 35.918663   48182500    35.918663
## 2017-04-17 36.083849 36.294918 36.028785 36.294918   29862300    36.294918
## 2017-04-18 35.881947 36.010428 35.753470 35.836063   50889200    35.836063
## 2017-04-19 35.927844 35.937019 35.524054 35.615826   58751100    35.615826
## 2017-04-20 36.001253 36.065491 35.891131 36.056316   46722900    36.056316
## 2017-04-21 36.065491 36.111375 35.992077 36.056316   32949500    36.056316
## 2017-04-24 36.588576 36.643639 36.478453 36.570221   63549800    36.570221
## 2017-04-25 36.836354 36.992365 36.799646 36.891418   50957400    36.891418
## 2017-04-26 36.827183 36.937305 36.707881 36.753765   56452000    36.753765
## 2017-04-27 36.827180 36.836355 36.597755 36.707878   42298100    36.707878
## 2017-04-28 36.744585 36.827178 36.643637 36.762939   56635400    36.762939
## 2017-05-01 36.928123 37.074955 36.845530 36.974007   41171000    36.974007
## 2017-05-02 37.130021 37.286031 37.084137 37.240147   55325500    37.240147
## 2017-05-03 37.084140 37.120849 36.891424 36.992371   58336100    36.992371
## 2017-05-04 36.790472 36.808827 36.551873 36.579403   81078300    36.579403
## 2017-05-05 36.524342 36.882244 36.515167 36.882244   52581000    36.882244
## 2017-05-08 36.983189 37.074961 36.845537 36.873066   35951500    36.873066
## 2017-05-09 37.157558 37.451220 37.130025 37.341095   70127300    37.341095
## 2017-05-10 37.451214 37.588867 37.405327 37.588867   47629100    37.588867
## 2017-05-11 37.634750 37.735698 37.451214 37.671459   37366100    37.671459
## 2017-05-12 37.726522 37.864174 37.717343 37.827469   65418200    37.827469
## 2017-05-15 38.020187 38.231257 37.992657 38.212902   52561000    38.212902
## 2017-05-16 38.185381 38.267974 38.111964 38.249619   41936300    38.249619
## 2017-05-17 37.919246 37.965130 37.579699 37.598053   63287300    37.598053
## 2017-05-18 36.689520 37.304379 36.542689 36.974007  121234700    36.974007
## 2017-05-19 37.515450 37.836643 37.506271 37.763229   63742000    37.763229
## 2017-05-22 37.799934 37.919236 37.763229 37.799934   46357500    37.799934
## 2017-05-23 37.827475 37.882535 37.735703 37.836651   39495600    37.836651
## 2017-05-24 37.845830 38.047721 37.809121 37.983482   48549600    37.983482
## 2017-05-25 38.185374 38.295497 38.093601 38.167019   39606900    38.167019
## 2017-05-26 38.240434 38.323026 38.203728 38.304676   31372700    38.304676
## 2017-05-30 38.093600 38.157843 38.029362 38.102779   35122800    38.102779
## 2017-05-31 38.102782 38.102782 37.744881 37.809120   80159500    37.809120
## 2017-06-01 37.910065 38.139489 37.818293 38.130310   46802100    38.130310
## 2017-06-02 38.267973 38.350566 38.176200 38.323032   43699200    38.323032
## 2017-06-05 38.313851 38.405619 38.240433 38.277142   39245500    38.277142
## 2017-06-06 38.231259 38.378091 38.212904 38.295498   34184900    38.295498
## 2017-06-07 38.176201 38.323033 38.038550 38.249619   34745400    38.249619
## 2017-06-08 38.506564 38.524919 38.332202 38.479034   48941400    38.479034
## 2017-06-09 38.506567 38.579985 37.974305 38.185375   73660800    38.185375
## 2017-06-12 37.965128 38.001837 37.799943 37.983482   52374200    37.983482
## 2017-06-13 38.185374 38.212903 38.038542 38.167019   38327800    38.167019
## 2017-06-14 38.451504 38.469854 38.029361 38.157841   70500400    38.157841
## 2017-06-15 37.698990 37.781579 37.533805 37.763229   87660700    37.763229
## 2017-06-16 37.845824 37.891708 37.662284 37.827469   53875900    37.827469
## 2017-06-19 38.056892 38.267963 38.029360 38.203724   68181200    38.203724
## 2017-06-20 38.094934 38.104155 37.753813 37.781471   71372000    37.781471
## 2017-06-21 37.956642 38.048839 37.799913 37.864449   54840400    37.864449
## 2017-06-22 38.067273 38.214785 37.975077 38.058052   50400700    38.058052
## 2017-06-23 38.122589 38.334641 38.094932 38.260883   46141200    38.260883
## 2017-06-26 38.620443 38.731076 38.500588 38.629665   44381000    38.629665
## 2017-06-27 38.629667 38.629667 38.168692 38.177910   54898400    38.177910
## 2017-06-28 38.288544 38.509813 38.196350 38.472935   33600800    38.472935
## 2017-06-29 38.288551 38.297773 37.726161 37.984310   66218700    37.984310
## 2017-06-30 38.214796 38.325429 38.131820 38.159477   76054300    38.159477
## 2017-07-03 38.371524 38.500596 38.297770 38.380745   38427000    38.380745
## 2017-07-05 38.159476 38.325428 37.975086 38.306988   49491000    38.306988
## 2017-07-06 38.030399 38.104157 37.790694 37.846008   48464800    37.846008
## 2017-07-07 37.947427 38.011963 37.753818 37.919769   69254100    37.919769
## 2017-07-10 38.048840 38.306985 38.030401 38.279327   38230800    38.279327
## 2017-07-11 38.482156 38.638886 38.371519 38.592789   41916900    38.592789
## 2017-07-12 39.136743 39.422544 39.109082 39.339569   80106600    39.339569
## 2017-07-13 39.404108 39.551620 39.367229 39.533180   38698800    39.533180
## 2017-07-14 39.800546 40.058694 39.782110 40.031033   51171300    40.031033
## 2017-07-17 39.874303 39.901960 39.763670 39.846645   44288000    39.846645
## 2017-07-18 39.772888 40.003375 39.717573 39.966496   49195500    39.966496
## 2017-07-19 39.966494 40.381372 39.966494 40.298397   37949700    40.298397
## 2017-07-20 40.335275 40.344493 40.160106 40.252300   35990000    40.252300
## 2017-07-21 40.261515 40.270737 40.114003 40.224640   34217900    40.224640
## 2017-07-24 40.399813 40.399813 40.224643 40.344494   37613800    40.344494
## 2017-07-25 40.390591 40.445906 40.233858 40.243080   37103900    40.243080
## 2017-07-26 40.307620 40.621082 40.252302 40.574982   49001700    40.574982
## 2017-07-27 40.704057 40.713274 40.067909 40.353714   61916500    40.353714
## 2017-07-28 40.206202 40.344492 40.104787 40.335274   46072600    40.335274
## 2017-07-31 40.418253 40.418253 40.270741 40.381374   60833500    40.381374
## 2017-08-01 40.565761 40.593419 40.455128 40.501225   37138400    40.501225
## 2017-08-02 40.574972 40.611851 40.326050 40.538097   29234800    40.538097
## 2017-08-03 40.344489 40.372150 40.169320 40.372150   45351400    40.372150
## 2017-08-04 40.464350 40.547327 40.279960 40.519669   48442700    40.519669
## 2017-08-07 40.667177 40.823907 40.639519 40.796249   23791100    40.796249
## 2017-08-08 40.906881 41.100493 40.750152 40.805466   33793700    40.805466
## 2017-08-09 40.335276 40.464348 40.224643 40.436691   29007400    40.436691
## 2017-08-10 40.095571 40.104788 39.459423 39.477863  104326500    39.477863
## 2017-08-11 39.523952 39.736000 39.385662 39.570049   52964600    39.570049
## 2017-08-14 40.003376 40.169327 39.929622 39.975719   37340400    39.975719
## 2017-08-15 39.948062 40.049474 39.865086 40.021816   29467800    40.021816
## 2017-08-16 40.353715 40.464348 40.298397 40.436691   43356300    40.436691
## 2017-08-17 40.344495 40.409035 39.865085 39.920399   65838600    39.920399
## 2017-08-18 40.077126 40.427464 39.911175 40.261513   67014400    40.261513
## 2017-08-21 40.353708 40.491999 40.261511 40.409027   27756400    40.409027
## 2017-08-22 40.694838 40.916108 40.657959 40.860790   30935800    40.860790
## 2017-08-23 40.787035 41.091277 40.759374 41.054398   48383900    41.054398
## 2017-08-24 41.238787 41.275665 41.054396 41.183468   52141700    41.183468
## 2017-08-25 41.413951 41.552245 41.340197 41.423172   55530900    41.423172
## 2017-08-28 41.404738 41.404738 41.192690 41.275665   37424900    41.275665
## 2017-08-29 41.275661 41.275661 40.805465 41.201904   45507800    41.201904
## 2017-08-30 41.146590 41.294102 41.118929 41.266441   46687600    41.266441
## 2017-08-31 41.275663 41.423175 41.229567 41.330982   62118300    41.330982
## 2017-09-01 41.496933 41.653666 41.441619 41.635227   55195500    41.635227
## 2017-09-05 41.312539 41.395515 40.879222 41.091270   49130500    41.091270
## 2017-09-06 41.248006 41.404736 41.183466 41.358639   44733800    41.358639
## 2017-09-07 41.561464 41.662876 41.506146 41.662876   39114300    41.662876
## 2017-09-08 41.598343 41.607565 41.312541 41.386295   41973600    41.386295
## 2017-09-11 41.727416 41.967125 41.718198 41.939468   45287800    41.939468
## 2017-09-12 41.939472 41.976347 41.828836 41.893372   49495000    41.893372
## 2017-09-13 41.727418 41.791958 41.579906 41.672104   54758700    41.672104
## 2017-09-14 41.570686 41.801173 41.533807 41.782734   36057900    41.782734
## 2017-09-15 41.856490 42.086977 41.773513 42.031658   47816300    42.031658
## 2017-09-18 42.299027 42.372781 42.123855 42.179173   37633400    42.179173
## 2017-09-19 42.206830 42.280588 42.077758 42.271366   63741000    42.271366
## 2017-09-20 42.289803 42.354340 41.681317 42.077755   78810000    42.077755
## 2017-09-21 42.077755 42.216049 41.985562 42.077755   32668200    42.077755
## 2017-09-22 41.847269 41.921026 41.773515 41.838051   39264300    41.838051
## 2017-09-25 41.487710 41.487710 40.971418 41.128151   85660600    41.128151
## 2017-09-26 41.211129 41.266444 40.952981 41.017521   62892900    41.017521
## 2017-09-27 40.897661 40.980636 40.648733 40.870003   80084700    40.870003
## 2017-09-28 40.657951 40.897661 40.648734 40.842342   54957600    40.842342
## 2017-09-29 41.155809 41.413954 41.072833 41.312542   70546800    41.312542
## 2017-10-02 41.312543 41.515370 41.294104 41.321762   68124300    41.321762
## 2017-10-03 41.653656 41.985558 41.607559 41.976337   54087400    41.976337
## 2017-10-04 41.957900 42.068536 41.911803 41.967121   45574100    41.967121
## 2017-10-05 42.142292 42.400440 42.133074 42.280586   38759200    42.280586
## 2017-10-06 41.893367 42.096197 41.773515 42.068539   44870200    42.068539
## 2017-10-09 41.957907 42.040882 41.884152 42.040882   25022400    42.040882
## 2017-10-10 42.363568 42.483422 42.308249 42.455761   45691800    42.455761
## 2017-10-11 42.446542 42.667808 42.437321 42.649368   48802900    42.649368
## 2017-10-12 42.667799 42.750775 42.594045 42.630924   35546600    42.630924
## 2017-10-13 43.018147 43.101122 42.962828 43.018147   61902200    43.018147
## 2017-10-16 43.128785 43.165663 42.981273 42.990494   34089400    42.990494
## 2017-10-17 42.879851 42.898291 42.686243 42.769218   38828200    42.769218
## 2017-10-18 42.916729 43.008926 42.787657 42.870632   36187200    42.870632
## 2017-10-19 42.428098 42.520292 42.308243 42.492634   51487000    42.492634
## 2017-10-20 42.704687 42.732343 42.575614 42.649368   46370200    42.649368
## 2017-10-23 42.575609 42.584828 42.299025 42.308243   47564000    42.308243
## 2017-10-24 42.391219 42.538730 42.299025 42.308243   40213400    42.308243
## 2017-10-25 42.474202 42.529520 41.884154 42.216057   57309600    42.216057
## 2017-10-26 42.243707 42.326682 41.921025 41.930244   55320500    41.930244
## 2017-10-27 42.151510 42.584824 42.022438 42.538727   55225600    42.538727
## 2017-10-30 42.400443 42.511076 42.216052 42.271366   35732500    42.271366
## 2017-10-31 42.529510 42.667801 42.464974 42.667801   63902300    42.667801
## 2017-11-01 43.055024 43.193313 42.861415 42.889072   51926300    42.889072
## 2017-11-02 42.953611 42.990490 42.741563 42.944393   38024500    42.944393
## 2017-11-03 42.907516 42.925955 42.492638 42.723125   42909900    42.723125
## 2017-11-06 42.925953 43.211756 42.907514 43.202538   30828500    43.202538
## 2017-11-07 43.156444 43.211759 42.861421 42.925957   46904400    42.925957
## 2017-11-08 43.055023 43.156437 42.981265 43.128777   35006300    43.128777
## 2017-11-09 42.833759 42.953613 42.538735 42.861420   39894900    42.861420
## 2017-11-10 42.806097 42.833755 42.584828 42.677025   32484400    42.677025
## 2017-11-13 42.529516 42.677028 42.428101 42.584831   52239700    42.584831
## 2017-11-14 42.511074 42.557171 42.243708 42.299026   56682300    42.299026
## 2017-11-15 42.086977 42.197609 41.902587 42.077755   49000900    42.077755
## 2017-11-16 42.695464 43.082682 42.686243 42.953609   46316400    42.953609
## 2017-11-17 43.082678 43.350043 43.055020 43.165653   46258900    43.165653
## 2017-11-20 43.119559 43.423800 43.101120 43.386925   45493800    43.386925
## 2017-11-21 43.912432 44.142919 43.893993 43.967747   63587700    43.967747
## 2017-11-22 44.106046 44.189021 43.930877 44.078388   60764000    44.078388
## 2017-11-24 43.940098 44.013856 43.894002 43.986195   25838000    43.986195
## 2017-11-27 43.617416 43.635855 43.322393 43.340828   47853200    43.340828
## 2017-11-28 43.691174 43.811028 43.497565 43.663517   54357600    43.663517
## 2017-11-29 43.488339 43.488339 42.870635 42.972050   66269800    42.972050
## 2017-11-30 42.842974 42.852192 42.474193 42.501850  118059300    42.501850
## 2017-12-01 42.391223 42.474198 42.059320 42.262150   88358900    42.262150
## 2017-12-04 42.732344 42.806102 42.308248 42.345127   67381600    42.345127
## 2017-12-05 42.372781 42.603268 42.280588 42.317467   32126400    42.317467
## 2017-12-06 41.598345 41.838054 41.543030 41.745857   81862800    41.745857
## 2017-12-07 41.856486 41.976337 41.533801 41.865704   70820800    41.865704
## 2017-12-08 42.335900 42.409658 42.169953 42.354340   42794900    42.354340
## 2017-12-11 42.584831 42.649366 42.501855 42.566391   46795900    42.566391
## 2017-12-12 42.169953 42.372779 42.096195 42.280586   47157800    42.280586
## 2017-12-13 42.547958 42.925956 42.538736 42.787663   75946200    42.787663
## 2017-12-14 42.649365 42.760002 42.474197 42.474197   50968200    42.474197
## 2017-12-15 42.557173 42.649366 42.345125 42.566391   67881200    42.566391
## 2017-12-18 42.935170 43.193314 42.898291 43.045803   61186100    43.045803
## 2017-12-19 43.117870 43.117870 42.752861 42.818375   51306800    42.818375
## 2017-12-20 43.014913 43.071069 42.865166 42.874527   42832800    42.874527
## 2017-12-21 43.052352 43.305050 43.024275 43.155304   40602200    43.155304
## 2017-12-22 43.323771 43.529670 43.267614 43.520313   40032700    43.520313
## 2017-12-26 43.445438 43.492237 43.295691 43.482876   29614100    43.482876
## 2017-12-27 43.539031 43.651340 43.473517 43.595188   35373200    43.595188
## 2017-12-28 43.997636 44.035073 43.791736 43.894688   34284300    43.894688
## 2017-12-29 44.250333 44.287771 44.044433 44.100586   46485100    44.100586
## 2018-01-02 44.718295 44.989713 44.671500 44.933556   68969400    44.933556
## 2018-01-03 45.195616 45.429596 45.186255 45.364082   56228700    45.364082
## 2018-01-04 45.476393 45.654217 45.457675 45.588703   52154900    45.588703
## 2018-01-05 45.691653 45.991146 45.644857 45.981789   50026900    45.981789
## 2018-01-08 45.916275 46.066022 45.878837 45.981789   36998200    45.981789
## 2018-01-09 45.972432 45.981794 45.701018 45.906918   42131600    45.906918
## 2018-01-10 45.560619 45.710366 45.420230 45.616776   72183900    45.616776
## 2018-01-11 45.551259 45.906909 45.541901 45.897552   38720900    45.897552
## 2018-01-12 45.991143 46.365513 45.869473 46.337433   69358300    46.337433
## 2018-01-16 46.515266 46.655651 46.075382 46.159615   80418000    46.159615
## 2018-01-17 46.515264 46.880273 46.449750 46.767963   65863500    46.767963
## 2018-01-18 46.758598 46.889626 46.693083 46.824112   33947000    46.824112
## 2018-01-19 47.058089 47.207836 46.917702 47.207836   60503700    47.207836
## 2018-01-22 47.179764 47.488620 47.076812 47.479259   49191200    47.479259
## 2018-01-23 47.479258 47.722599 47.404386 47.703880   61277300    47.703880
## 2018-01-24 48.012736 48.218640 47.769399 48.106331   63963100    48.106331
## 2018-01-25 48.153123 48.508773 47.928500 48.078247   61533700    48.078247
## 2018-01-26 48.415178 48.742752 48.302868 48.742752   80566200    48.742752
## 2018-01-29 48.153123 48.209276 47.937862 48.003376   58884200    48.003376
## 2018-01-30 47.488622 47.544774 47.151690 47.348232   87601400    47.348232
## 2018-01-31 47.994013 48.050169 47.395024 47.760033   96654200    47.760033
## 2018-02-01 47.329512 47.591568 47.076812 47.114250   72143800    47.114250
## 2018-02-02 46.627578 46.655654 45.869480 45.906918  116832800    45.906918
## 2018-02-05 45.841398 46.309359 44.297131 44.297131  151202100    44.297131
## 2018-02-06 44.287769 46.122172 44.156740 45.738445  183650300    45.738445
## 2018-02-07 44.924196 45.410875 44.269051 44.297131  156301200    44.297131
## 2018-02-08 44.577906 44.615340 42.706065 42.762218  163250200    42.762218
## 2018-02-09 43.342490 43.782370 42.153870 43.445438  153419800    43.445438
## 2018-02-12 44.063152 44.446879 43.670063 44.128666  104447700    44.128666
## 2018-02-13 44.194181 44.596628 44.147382 44.465595   55739700    44.465595
## 2018-02-14 44.372003 45.691652 44.353284 45.579342   96491500    45.579342
## 2018-02-15 46.384234 46.665010 45.850760 46.515263   95168100    46.515263
## 2018-02-16 46.178328 46.786678 46.168971 46.365513   70876400    46.365513
## 2018-02-20 45.541903 45.888193 45.476388 45.729088   78660300    45.729088
## 2018-02-21 46.140888 46.665005 45.654209 45.691647   66591900    45.691647
## 2018-02-22 45.832043 46.187690 45.682296 45.719730   62436300    45.719730
## 2018-02-23 46.281282 46.552700 46.084740 46.533981   43623300    46.533981
## 2018-02-26 46.655648 46.964504 46.393592 46.964504   51742600    46.964504
## 2018-02-27 46.356151 46.412307 45.598057 45.598057   94671000    45.598057
## 2018-02-28 45.701007 45.757159 44.942909 44.942909  102169900    44.942909
## 2018-03-01 45.270489 45.626140 44.456239 44.858685  112694400    44.858685
## 2018-03-02 44.315847 45.139459 44.091229 45.045868   72756200    45.045868
## 2018-03-05 44.559192 45.195618 44.503035 45.111385   55905400    45.111385
## 2018-03-06 45.869475 45.888194 45.410875 45.532547   57199200    45.532547
## 2018-03-07 45.242410 45.607419 45.036506 45.579342   46554800    45.579342
## 2018-03-08 45.663579 45.710374 45.373442 45.588703   46733900    45.588703
## 2018-03-09 45.963069 46.580775 45.925631 46.562057   58818700    46.562057
## 2018-03-12 46.618217 46.767964 46.431032 46.674370   52944500    46.674370
## 2018-03-13 46.889627 46.964503 46.084739 46.253201   60376000    46.253201
## 2018-03-14 46.599493 46.665007 46.075376 46.328075   51067200    46.328075
## 2018-03-15 46.477828 46.543343 45.991148 46.159615   65778900    46.159615
## 2018-03-16 45.991146 46.187688 45.972427 46.056660   66155800    46.056660
## 2018-03-19 45.757169 45.860122 45.289209 45.560627   65394200    45.560627
## 2018-03-20 45.944354 46.178335 45.841403 46.066025   60101700    46.066025
## 2018-03-21 46.009863 46.515261 45.869473 46.337433   78575100    46.337433
## 2018-03-22 45.270489 45.495112 44.718295 44.793171   87622700    44.793171
## 2018-03-23 44.868040 44.942914 43.866605 43.885323   82908800    43.885323
## 2018-03-26 45.017785 45.364078 44.503029 45.307922   73320800    45.307922
## 2018-03-27 45.345359 45.410872 44.381358 44.484310   84232100    44.484310
## 2018-03-28 44.343922 44.503027 43.960194 44.259689   78140800    44.259689
## 2018-03-29 44.577906 45.345361 44.521750 45.186253   82685500    45.186253
## 2018-04-02 44.877396 45.083296 43.950833 44.371998   72405700    44.371998
## 2018-04-03 44.774448 44.868039 44.418797 44.811886   52874500    44.811886
## 2018-04-04 43.604550 44.858684 43.557755 44.830608   68352400    44.830608
## 2018-04-05 45.008423 45.167528 44.765086 44.942909   48247700    44.942909
## 2018-04-06 44.493679 44.802531 43.801095 44.063156   76156700    44.063156
## 2018-04-09 44.381361 44.605984 44.100586 44.109947   55352700    44.109947
## 2018-04-10 44.755728 45.036503 44.559186 44.970989   87142000    44.970989
## 2018-04-11 44.690213 45.092659 44.680856 44.989708   51569200    44.989708
## 2018-04-12 44.896117 45.102018 44.821242 44.970989   52968500    44.970989
## 2018-04-13 44.933554 44.980353 44.400080 44.521751   56518000    44.521751
## 2018-04-16 44.456237 44.615342 44.315847 44.577908   43005800    44.577908
## 2018-04-17 44.381360 44.802525 44.362645 44.671497   58168100    44.671497
## 2018-04-18 44.839961 45.214330 44.774447 45.055222   80289500    45.055222
## 2018-04-19 45.167537 45.195617 44.643424 44.793171   67581100    44.793171
## 2018-04-20 44.540469 44.568545 44.035071 44.231613   80997700    44.231613
## 2018-04-23 44.147383 44.269054 43.782375 43.875969   74337500    43.875969
## 2018-04-24 44.231610 44.325204 43.454797 43.670059   72196800    43.670059
## 2018-04-25 43.342491 43.436082 43.061712 43.333130   69106800    43.333130
## 2018-04-26 43.585832 43.988278 43.557755 43.960201   45047800    43.960201
## 2018-04-27 44.212898 44.306489 43.960199 44.231613   33545000    44.231613
## 2018-04-30 44.390724 44.446882 43.904046 43.913403   49179000    43.913403
## 2018-05-01 43.651339 43.763649 43.145941 43.698135   75839300    43.698135
## 2018-05-02 43.744941 43.838531 43.314414 43.351852   66837900    43.351852
## 2018-05-03 43.323777 43.379930 42.677989 43.258263   83449200    43.258263
## 2018-05-04 42.837099 43.604554 42.799662 43.454807   60099100    43.454807
## 2018-05-07 43.099151 43.379926 43.071074 43.202103   58886100    43.202103
## 2018-05-08 43.305052 43.464157 43.033635 43.445438   58783600    43.445438
## 2018-05-09 43.576466 43.623262 43.305048 43.529667   46129500    43.529667
## 2018-05-10 44.053788 44.596623 43.978916 44.437515  115804000    44.437515
## 2018-05-11 44.624704 44.671500 44.250335 44.362648   68838600    44.362648
## 2018-05-14 44.605982 44.718292 44.353283 44.418797   34353300    44.418797
## 2018-05-15 43.595189 43.707498 43.314410 43.501595   78379300    43.501595
## 2018-05-16 43.913405 44.240979 43.913405 44.156746   60004200    44.156746
## 2018-05-17 43.679418 43.801089 43.342490 43.482876   73014000    43.482876
## 2018-05-18 43.099151 43.230180 42.996199 43.117870   59258700    43.117870
## 2018-05-21 43.473520 43.557753 43.202102 43.379925   59330200    43.379925
## 2018-05-22 43.567105 43.754290 43.473515 43.529667   32584700    43.529667
## 2018-05-23 43.014915 43.548390 43.005558 43.510956   70687800    43.510956
## 2018-05-24 43.276978 43.361211 42.799657 43.276978   79762900    43.276978
## 2018-05-25 43.267623 43.520321 43.230185 43.454807   39374500    43.454807
## 2018-05-29 42.809017 42.940045 42.228743 42.444004  112089900    42.444004
## 2018-05-30 42.453367 42.827732 42.266182 42.780937   72813800    42.780937
## 2018-05-31 42.724784 42.977479 42.546956 42.762218   92066200    42.762218
## 2018-06-01 43.108514 43.379929 43.052358 43.361214   66762200    43.361214
## 2018-06-04 43.726214 43.904038 43.707496 43.801086   36302900    43.801086
## 2018-06-05 43.670060 43.744936 43.445438 43.464157   40092200    43.464157
## 2018-06-06 43.838530 44.128667 43.744939 44.119305   46801500    44.119305
## 2018-06-07 43.960197 44.006992 43.174024 43.445438   89752500    43.445438
## 2018-06-08 43.211463 43.548395 43.043001 43.361214   73944700    43.361214
## 2018-06-11 43.408009 43.520319 43.295696 43.361214   38323500    43.361214
## 2018-06-12 43.342492 43.398645 43.080432 43.248898   57189800    43.248898
## 2018-06-13 43.323771 43.389286 42.696702 42.958763  100698800    42.958763
## 2018-06-14 42.958766 43.042999 42.621834 42.668629   76094800    42.668629
## 2018-06-15 42.275539 42.387852 42.041559 42.331696   86066000    42.331696
## 2018-06-18 41.732707 41.873097 41.498727 41.816940   83532600    41.816940
## 2018-06-19 41.044470 41.440126 40.893744 41.355343  122657600    41.355343
## 2018-06-20 41.732151 41.788675 41.487224 41.534325   69822800    41.534325
## 2018-06-21 41.279983 41.298824 40.893749 40.950272   86214100    40.950272
## 2018-06-22 41.543746 41.562588 41.232877 41.374180   48711000    41.374180
## 2018-06-25 40.987945 41.035049 40.413307 40.818382  110854500    40.818382
## 2018-06-26 40.837219 40.912583 40.554609 40.658234   69228700    40.658234
## 2018-06-27 40.601710 40.611133 39.753881 39.876347   95340400    39.876347
## 2018-06-28 39.838669 40.234322 39.706785 40.215481  105345300    40.215481
## 2018-06-29 40.733599 40.931425 40.695916 40.818382  108877000    40.818382
## 2018-07-02 40.149534 40.479249 40.064751 40.413307   78848700    40.413307
## 2018-07-03 40.677075 40.714757 40.385043 40.441566   28637200    40.441566
## 2018-07-05 40.554607 40.592289 40.177796 40.337940   67394400    40.337940
## 2018-07-06 40.460410 41.053893 40.432146 40.893745   69933900    40.893745
## 2018-07-09 41.458965 41.637954 41.251720 41.628532   80552700    41.628532
## 2018-07-10 41.496643 41.553167 41.204615 41.534325   63808300    41.534325
## 2018-07-11 40.856066 41.053896 40.564037 40.724182   58679200    40.724182
## 2018-07-12 41.223456 41.374182 41.072730 41.279980   53833300    41.279980
## 2018-07-13 41.232878 41.402445 41.091572 41.308239   40515300    41.308239
## 2018-07-16 41.110412 41.166936 40.931427 41.082153   31717300    41.082153
## 2018-07-17 40.922008 41.458967 40.874906 41.383606   46911500    41.383606
## 2018-07-18 41.157517 41.374185 41.035055 41.336506   41182100    41.336506
## 2018-07-19 40.695921 41.006791 40.564036 40.827805   72549300    40.827805
## 2018-07-20 41.232879 41.487230 41.204620 41.411865   75114300    41.411865
## 2018-07-23 41.223455 41.242297 41.006788 41.138672   57679100    41.138672
## 2018-07-24 41.816938 41.986505 41.619111 41.741577   66639400    41.741577
## 2018-07-25 42.014758 42.448097 41.901716 42.419834   77820500    42.419834
## 2018-07-26 42.061869 42.184331 41.920562 41.948822   68705800    41.948822
## 2018-07-27 42.259696 42.344479 41.873461 42.099548   63743400    42.099548
## 2018-07-30 42.193752 42.259694 41.911142 42.033604   41541400    42.033604
## 2018-07-31 42.033603 42.325635 41.929978 42.259693   88217500    42.259693
## 2018-08-01 41.892303 42.099549 41.769838 41.882881   61755000    41.882881
## 2018-08-02 41.025629 41.393022 40.940846 41.327080   68678600    41.327080
## 2018-08-03 41.468387 41.694474 41.421286 41.647373   41043800    41.647373
## 2018-08-06 41.345921 41.468386 41.232877 41.327080   33153800    41.327080
## 2018-08-07 41.807519 41.967663 41.732154 41.750996   38719500    41.750996
## 2018-08-08 41.666214 41.750997 41.534329 41.694473   30610200    41.694473
## 2018-08-09 41.750996 41.845197 41.543746 41.572010   35013900    41.572010
## 2018-08-10 40.639395 40.818385 40.554612 40.686497   86629900    40.686497
## 2018-08-13 40.309686 40.403887 39.914029 40.017654   75183500    40.017654
## 2018-08-14 40.168379 40.375628 40.093018 40.262585   56724600    40.262585
## 2018-08-15 39.132138 39.292282 38.745903 39.103874  138633600    39.103874
## 2018-08-16 39.490115 39.669105 39.329971 39.348812   78123900    39.348812
## 2018-08-17 39.207501 39.857507 39.113299 39.763302   76030400    39.763302
## 2018-08-20 39.857507 39.979970 39.725619 39.942291   50762900    39.942291
## 2018-08-21 40.347368 40.611137 40.319104 40.450989   70462300    40.450989
## 2018-08-22 40.488668 40.837220 40.488668 40.771278   45602900    40.771278
## 2018-08-23 40.629976 40.752438 40.064753 40.111858   68878400    40.111858
## 2018-08-24 40.714765 40.884332 40.582881 40.856068   69304200    40.856068
## 2018-08-27 41.232878 41.600272 41.223456 41.440128   96574800    41.440128
## 2018-08-28 41.553171 41.619112 41.204619 41.289402   50093400    41.289402
## 2018-08-29 41.195196 41.562589 41.110412 41.543747   58165600    41.543747
## 2018-08-30 40.903161 40.903161 40.319100 40.460407  120206400    40.460407
## 2018-08-31 40.403887 40.799544 40.356786 40.667656   88660500    40.667656
## 2018-09-04 40.027073 40.027073 39.782142 39.876347   76724700    39.876347
## 2018-09-05 39.414751 39.480694 39.179242 39.301708   77835800    39.301708
## 2018-09-06 39.377064 39.480689 39.075614 39.339382   73104400    39.339382
## 2018-09-07 39.216928 39.508957 38.990837 39.141563   61590700    39.141563
## 2018-09-10 39.132141 39.132141 38.708224 38.755325   61116600    38.755325
## 2018-09-11 38.378512 38.849529 38.274887 38.840107   74608700    38.840107
## 2018-09-12 38.661121 39.273442 38.519814 39.037933  116612700    39.037933
## 2018-09-13 39.622002 39.829248 39.386493 39.565479   96306500    39.565479
## 2018-09-14 39.782148 39.829249 39.339390 39.527798   65202700    39.527798
## 2018-09-17 39.235761 39.386486 39.113295 39.169819   74603900    39.169819
## 2018-09-18 39.358223 39.612573 39.348804 39.546631   52000700    39.546631
## 2018-09-19 39.876347 40.140116 39.866925 40.093014   55892400    40.093014
## 2018-09-20 40.441567 40.564033 40.215478 40.535770   93427400    40.535770
## 2018-09-21 40.592297 40.790124 40.535774 40.724182  102750700    40.724182
## 2018-09-24 40.253163 40.309686 40.121278 40.262585   54411700    40.262585
## 2018-09-25 40.328523 40.516928 40.281419 40.422726   49467000    40.422726
## 2018-09-26 40.488666 40.987943 40.450984 40.507507   84080400    40.507507
## 2018-09-27 40.629973 40.837218 40.592291 40.705334   45547200    40.705334
## 2018-09-28 40.403880 40.648812 40.300256 40.432140   64732800    40.432140
## 2018-10-01 40.629974 40.658234 40.347364 40.441566   31030500    40.441566
## 2018-10-02 39.914028 40.130695 39.810403 39.932869   57719700    39.932869
## 2018-10-03 40.215478 40.243741 39.490110 39.603157   76571200    39.603157
## 2018-10-04 39.198078 39.207496 38.444450 38.614017  132360900    38.614017
## 2018-10-05 38.632857 38.698803 38.114739 38.472713   80578500    38.472713
## 2018-10-08 38.208947 38.614023 38.133583 38.529240   59744400    38.529240
## 2018-10-09 38.218366 38.585758 38.086481 38.387932   60976800    38.387932
## 2018-10-10 38.190105 38.199524 37.238648 37.248070   99036700    37.248070
## 2018-10-11 37.040821 37.436478 36.522702 36.871254  168923800    36.871254
## 2018-10-12 37.926333 38.020539 37.436479 37.954597  116892100    37.954597
## 2018-10-15 37.624880 37.813287 37.474154 37.549519   52651000    37.549519
## 2018-10-16 38.020540 38.529240 37.954598 38.491558   65949500    38.491558
## 2018-10-17 38.199520 38.227784 37.832127 38.020535   69718700    38.020535
## 2018-10-18 37.615463 37.643723 36.890096 37.021980  107005100    37.021980
## 2018-10-19 37.596623 37.832132 37.285754 37.370533   81176200    37.370533
## 2018-10-22 38.001698 38.077059 37.606042 37.775608   67724900    37.775608
## 2018-10-23 36.880679 37.577782 36.673429 37.361115   89864600    37.361115
## 2018-10-24 37.172704 37.219805 36.136467 36.155308   87632500    36.155308
## 2018-10-25 36.569799 37.106758 36.466175 36.852409   80961600    36.852409
## 2018-10-26 36.089367 36.711110 35.929219 36.428497  139198800    36.428497
## 2018-10-29 36.748787 36.805311 35.401680 35.797333  102322800    35.797333
## 2018-10-30 36.014006 36.503864 35.938645 36.494446   99881500    36.494446
## 2018-10-31 36.890095 37.106762 36.739369 36.890095   92768300    36.890095
## 2018-11-01 37.474157 38.237206 37.266911 38.208946  120482200    38.208946
## 2018-11-02 38.858944 39.000251 38.067635 38.453869  111324700    38.453869
## 2018-11-05 38.444452 38.642278 38.350246 38.557495   58319600    38.557495
## 2018-11-06 38.369092 38.557500 38.284308 38.491558   40847800    38.491558
## 2018-11-07 39.009674 39.282865 38.764747 39.216923   81011500    39.216923
## 2018-11-08 38.708220 38.840105 38.077055 38.199520   90610900    38.199520
## 2018-11-09 37.615457 37.662559 37.200964 37.492992   82943700    37.492992
## 2018-11-12 37.370529 37.436476 36.871252 36.965458   68569700    36.965458
## 2018-11-13 37.323432 37.756771 37.153865 37.389374  106305600    37.389374
## 2018-11-14 37.737929 37.860391 37.276330 37.615463   96621100    37.615463
## 2018-11-15 37.813284 38.670536 37.737923 38.453869  146475800    38.453869
## 2018-11-16 38.143006 38.727066 38.029959 38.529240  135075800    38.529240
## 2018-11-19 38.265466 38.321989 37.907496 38.011116   77777300    38.011116
## 2018-11-20 37.417636 37.596622 37.059662 37.191547   98272800    37.191547
## 2018-11-21 37.879230 38.133580 37.803869 37.879230   68104600    37.879230
## 2018-11-23 37.436481 37.634307 37.408217 37.436481   32048200    37.436481
## 2018-11-26 37.964013 38.077056 37.756768 37.898071   76320100    37.898071
## 2018-11-27 37.766189 38.161842 37.709666 38.161842   81069100    38.161842
## 2018-11-28 38.425616 39.103878 38.124164 39.075619  121010900    39.075619
## 2018-11-29 38.802427 39.000258 38.548077 38.736485  104239600    38.736485
## 2018-11-30 38.585760 38.783586 38.435034 38.698807   92961200    38.698807
## 2018-12-03 39.687939 39.706780 39.282864 39.480690  125024100    39.480690
## 2018-12-04 39.518378 39.584319 38.548079 38.642284  134758200    38.642284
## 2018-12-06 37.615462 38.321988 37.379953 38.284306  165155100    38.284306
## 2018-12-07 38.227789 38.482134 37.474158 37.568363  134304600    37.568363
## 2018-12-10 37.314010 37.379952 36.711108 37.172703  104465300    37.172703
## 2018-12-11 37.700246 37.709665 37.191547 37.455315  104014700    37.455315
## 2018-12-12 38.152421 38.416190 38.039378 38.067638   89712200    38.067638
## 2018-12-13 38.208945 38.321988 38.011114 38.058220   72445400    38.058220
## 2018-12-14 37.577778 37.850969 37.492995 37.521259   94915600    37.521259
## 2018-12-17 37.577778 37.719085 37.050241 37.172703  109276200    37.172703
## 2018-12-18 37.453825 37.654627 37.319959 37.425140  102509800    37.425140
## 2018-12-19 37.606816 37.989288 36.497636 36.803619  204046200    36.803619
## 2018-12-20 37.176530 37.415576 36.774930 37.090473  183908800    37.090473
## 2018-12-21 37.195655 37.396453 36.641065 36.832302  143673400    36.832302
## 2018-12-24 36.755802 37.023536 36.488071 36.488071   50709500    36.488071
## 2018-12-26 36.727122 37.253023 36.373334 37.214775   96347200    37.214775
## 2018-12-27 36.717564 37.205217 36.564574 37.166969   81792700    37.166969
## 2018-12-28 37.472944 37.731114 37.291269 37.520756   72869100    37.520756
## 2018-12-31 37.769365 37.807613 37.224339 37.348644   72972200    37.348644
## 2019-01-02 36.899237 37.472948 36.889677 37.444263   57198800    37.444263
## 2019-01-03 37.033097 37.061781 36.621936 36.765366   62767600    36.765366
## 2019-01-04 37.300830 38.113592 37.214774 37.951038  103055100    37.951038
## 2019-01-07 37.979729 38.199652 37.759807 38.037098   76597000    38.037098
## 2019-01-08 38.056222 38.247460 37.836300 38.180527   70518200    38.180527
## 2019-01-09 38.572562 39.069780 38.563002 38.859417  125118800    38.859417
## 2019-01-10 38.649058 39.165400 38.649058 39.136715   85207600    39.136715
## 2019-01-11 38.821167 39.012405 38.725550 38.945473   63136200    38.945473
## 2019-01-14 38.448259 38.802051 38.381326 38.620373   76217000    38.620373
## 2019-01-15 38.840292 39.098462 38.773359 38.888100   78913000    38.888100
## 2019-01-16 39.165398 39.500065 39.155838 39.366196   82543600    39.366196
## 2019-01-17 39.050654 39.729545 39.012405 39.538307   85522800    39.538307
## 2019-01-18 39.700864 39.892103 39.605244 39.729549   98168900    39.729549
## 2019-01-22 39.261018 39.347076 38.868982 39.041096  101294900    39.041096
## 2019-01-23 39.404444 39.471377 39.108029 39.442692   66625200    39.442692
## 2019-01-24 39.471377 39.853853 39.471377 39.825169   76076900    39.825169
## 2019-01-25 40.255448 40.456251 40.198080 40.351070  105779500    40.351070
## 2019-01-28 39.748670 39.959032 39.624365 39.930344   85543100    39.930344
## 2019-01-29 40.131149 40.150274 39.901663 39.997284   56518900    39.997284
## 2019-01-30 40.236330 40.953470 40.045092 40.867413  127796800    40.867413
## 2019-01-31 40.915221 41.249884 40.905657 41.211636  119929200    41.211636
## 2019-02-01 40.905657 40.963029 40.762231 40.886532   65766100    40.886532
## 2019-02-04 40.762230 41.068209 40.676173 40.953468   45770200    40.953468
## 2019-02-05 41.144704 41.555864 41.077771 41.517616   81720100    41.517616
## 2019-02-06 41.326380 41.355064 40.867411 40.953468   58194900    40.953468
## 2019-02-07 40.628366 40.838724 40.188517 40.542309  101061400    40.542309
## 2019-02-08 40.245887 40.379753 40.016400 40.312820   64212200    40.312820
## 2019-02-11 40.389318 40.408438 40.159831 40.178955   42213400    40.178955
## 2019-02-12 40.513618 40.685732 40.456249 40.513618   66073100    40.513618
## 2019-02-13 40.532744 40.609241 40.131147 40.226765   82318100    40.226765
## 2019-02-14 39.987718 40.446686 39.911225 40.303261   91302500    40.303261
## 2019-02-15 40.284140 40.284140 40.112027 40.245892   72362200    40.245892
## 2019-02-19 40.092899 40.647485 40.092899 40.561428   64391100    40.561428
## 2019-02-20 40.781353 41.049083 40.676172 40.790913   73694800    40.790913
## 2019-02-21 40.762229 40.800474 40.513619 40.704857   48092400    40.704857
## 2019-02-22 41.049085 41.269007 40.963028 41.154266   58022200    41.154266
## 2019-02-25 41.613235 41.814034 41.517614 41.613235   66533800    41.613235
## 2019-02-26 41.326381 41.613236 41.297693 41.469807   58330600    41.469807
## 2019-02-27 41.202073 41.269006 40.972586 41.116016   69471200    41.116016
## 2019-02-28 40.848285 40.867410 40.580551 40.580551   87434700    40.580551
## 2019-03-01 40.905652 40.934340 40.551864 40.628361   94263900    40.628361
## 2019-03-04 40.848288 40.905657 40.331946 40.685734   94168300    40.685734
## 2019-03-05 40.876975 41.154270 40.790918 41.087337   54576700    41.087337
## 2019-03-06 41.106455 41.163824 40.790912 40.857845   61237800    40.857845
## 2019-03-07 40.618801 40.628364 40.035526 40.102459   83415300    40.102459
## 2019-03-08 39.624368 39.853853 39.576558 39.815605   97742100    39.815605
## 2019-03-11 40.169392 40.609240 40.169392 40.561428   63002300    40.561428
## 2019-03-12 40.771790 40.876971 40.695297 40.771790   42726900    40.771790
## 2019-03-13 40.790914 40.876971 40.685733 40.819599   61450000    40.819599
## 2019-03-14 40.657050 40.676175 40.437128 40.599678   58460400    40.599678
## 2019-03-15 40.972589 41.249884 40.943906 41.192516  139870800    41.192516
## 2019-03-18 41.488928 41.670607 41.431560 41.651482   42149100    41.651482
## 2019-03-19 41.699290 41.823595 41.574984 41.670605   53192700    41.670605
## 2019-03-20 41.536739 42.081764 41.249883 41.737541   90678800    41.737541
## 2019-03-21 41.517615 41.804474 41.421998 41.794910   71400600    41.794910
## 2019-03-22 41.163827 41.259448 40.532744 40.570992  118616600    40.570992
## 2019-03-25 40.484937 40.790916 40.446688 40.666611   53285300    40.666611
## 2019-03-26 40.800473 40.905654 40.570990 40.790913   57145800    40.790913
## 2019-03-27 40.580553 40.666610 40.217204 40.351070   72804300    40.351070
## 2019-03-28 40.484931 40.666605 40.341502 40.618797   41052500    40.618797
## 2019-03-29 41.068212 41.116021 40.848290 41.039524   70439100    41.039524
## 2019-04-01 41.594109 41.756659 41.498492 41.718414   70455500    41.718414
## 2019-04-02 41.756663 41.775787 41.450683 41.584553   48692200    41.584553
## 2019-04-03 41.986151 42.206073 41.814038 41.871410   73639400    41.871410
## 2019-04-04 41.861847 42.206074 41.842722 42.129581   47028400    42.129581
## 2019-04-05 42.244318 42.473801 42.206070 42.454681   50360800    42.454681
## 2019-04-08 42.244318 42.492926 42.177386 42.454681   30209000    42.454681
## 2019-04-09 42.483367 42.512052 42.330378 42.368626   49530300    42.368626
## 2019-04-10 42.550300 42.684165 42.464243 42.569424   51143400    42.569424
## 2019-04-11 42.263441 42.292125 41.995706 42.110451   55153600    42.110451
## 2019-04-12 42.531172 42.569420 42.320809 42.416431   54695700    42.416431
## 2019-04-15 42.378184 42.397308 42.033956 42.196510   37957800    42.196510
## 2019-04-16 42.378186 42.569423 42.378186 42.512051   43860100    42.512051
## 2019-04-17 42.808470 42.875403 42.531175 42.636356   56935400    42.636356
## 2019-04-18 42.483361 42.693724 42.359056 42.607666   56639800    42.607666
## 2019-04-22 42.206067 42.378181 42.129574 42.330372   35929100    42.330372
## 2019-04-23 42.263441 42.502488 42.215633 42.425991   32829900    42.425991
## 2019-04-24 42.139139 42.148703 41.718418 41.852283   68961600    41.852283
## 2019-04-25 41.594112 41.804474 41.469807 41.794910   61168500    41.794910
## 2019-04-26 41.861845 42.033959 41.727979 41.957466   55441700    41.957466
## 2019-04-29 42.072207 42.120015 41.957465 42.043522   34398300    42.043522
## 2019-04-30 41.928771 42.100886 41.718413 42.005268   69577000    42.005268
## 2019-05-01 42.081768 42.406872 41.632364 41.689732   98629100    41.689732
## 2019-05-02 41.785351 41.928776 41.546304 41.785351   53101500    41.785351
## 2019-05-03 42.091332 42.339939 42.033960 42.282570   56642000    42.282570
## 2019-05-06 40.963028 41.488930 40.915220 41.412437   80977000    41.412437
## 2019-05-07 40.982155 40.982155 40.360631 40.599678   94189000    40.599678
## 2019-05-08 40.714423 40.886532 40.523184 40.542309   73548600    40.542309
## 2019-05-09 39.633934 40.092902 39.347079 39.901665  130849000    39.901665
## 2019-05-10 40.016399 40.265010 39.528746 40.140705   90343300    40.140705
## 2019-05-13 38.897665 39.079339 38.610810 38.802048  154670900    38.802048
## 2019-05-14 39.327948 39.490498 39.184519 39.347073   89406800    39.347073
## 2019-05-15 39.108025 39.500061 39.050652 39.423565   79039500    39.423565
## 2019-05-16 39.366195 39.605242 39.213205 39.232330   60101000    39.232330
## 2019-05-17 38.582125 38.849860 38.486509 38.524757   83972200    38.524757
## 2019-05-20 38.410010 38.534316 38.218776 38.362202   53810000    38.362202
## 2019-05-21 38.620370 38.859417 38.524754 38.849857   59832600    38.849857
## 2019-05-22 38.802045 38.840289 38.620367 38.658615   44117200    38.658615
## 2019-05-23 38.132715 38.323954 38.008410 38.161400   86731100    38.161400
## 2019-05-24 38.457820 38.505629 38.161402 38.199650   66379700    38.199650
## 2019-05-28 38.601246 38.649055 38.257018 38.333515   98395200    38.333515
## 2019-05-29 38.180527 38.601248 38.132718 38.582123   82060400    38.582123
## 2019-05-30 38.706431 38.945478 38.677747 38.792488   69626300    38.792488
## 2019-05-31 38.610810 39.021971 38.582122 38.926350   85220400    38.926350
## 2019-06-03 39.251456 39.490502 39.174963 39.280144   75619900    39.280144
## 2019-06-04 39.117589 39.394884 39.031533 39.366196   64141900    39.366196
## 2019-06-05 39.414007 39.433131 38.945474 39.050655   64072200    39.050655
## 2019-06-06 39.050657 39.155839 38.907228 39.069782   47722500    39.069782
## 2019-06-07 39.280142 39.700862 39.261018 39.375759   63584200    39.375759
## 2019-06-10 39.739110 39.978156 39.653053 39.786919   57245800    39.786919
## 2019-06-11 40.303261 40.370193 40.121583 40.236328   69040600    40.236328
## 2019-06-12 39.949472 39.978160 39.729549 39.806046   55120600    39.806046
## 2019-06-13 39.863411 39.930343 39.614804 39.739109   59717500    39.739109
## 2019-06-14 39.480941 39.500065 39.280143 39.299263   71468300    39.299263
## 2019-06-17 39.329131 39.531460 39.329131 39.454384   48715600    39.454384
## 2019-06-18 39.887951 40.494939 39.878314 40.408226  112482400    40.408226
## 2019-06-19 40.485305 40.947774 40.388956 40.745445  105746200    40.745445
## 2019-06-20 41.602939 41.631842 41.179011 41.342800   89200400    41.342800
## 2019-06-21 41.179010 41.304259 41.111562 41.207912   55544000    41.207912
## 2019-06-24 41.188645 41.256088 41.111565 41.150105   37025600    41.150105
## 2019-06-25 40.986313 41.034486 40.668363 40.726173   62167500    40.726173
## 2019-06-26 41.044118 41.256084 41.015215 41.111561   45126700    41.111561
## 2019-06-27 41.284992 41.419883 41.217549 41.400612   42358200    41.400612
## 2019-06-28 41.400610 41.429513 41.217547 41.342800   66235700    41.342800
## 2019-07-01 42.103947 42.142488 41.680015 41.834171   73169000    41.834171
## 2019-07-02 41.795634 41.824538 41.612572 41.728191   67518700    41.728191
## 2019-07-03 41.535496 41.651112 41.477685 41.651112   31218500    41.651112
## 2019-07-05 41.362068 41.458415 41.150102 41.362068   51678000    41.362068
## 2019-07-08 41.073025 41.169372 41.005581 41.111561   37679000    41.111561
## 2019-07-09 40.783984 41.034486 40.774347 40.986313   28227600    40.986313
## 2019-07-10 41.400606 41.554763 41.294624 41.333164   53673100    41.333164
## 2019-07-11 41.477687 41.477687 41.140472 41.256088   44486100    41.256088
## 2019-07-12 41.294626 41.323528 41.121199 41.284988   30512200    41.284988
## 2019-07-15 41.458415 41.525857 41.400608 41.439144   28026300    41.439144
## 2019-07-16 41.487318 41.602935 41.342796 41.381336   37093700    41.381336
## 2019-07-17 41.362070 41.439147 41.207914 41.256088   32865600    41.256088
## 2019-07-18 41.236820 41.554769 41.217550 41.506596   63374400    41.506596
## 2019-07-19 41.622210 41.641480 41.256088 41.294628   81774700    41.294628
## 2019-07-22 41.400610 41.458416 41.275357 41.304260   29826200    41.304260
## 2019-07-23 41.352436 41.448786 41.188647 41.352436   37246400    41.352436
## 2019-07-24 41.304260 41.448782 41.304260 41.419880   40358800    41.419880
## 2019-07-25 41.333166 41.535496 40.976677 41.053757   55327700    41.053757
## 2019-07-26 41.217545 41.256085 41.024853 41.140469   33068600    41.140469
## 2019-07-29 41.005586 41.092300 40.861064 41.063393   31912400    41.063393
## 2019-07-30 40.745445 40.803251 40.620192 40.745445   57335800    40.745445
## 2019-07-31 40.726172 40.755076 39.772329 40.244434   98764700    40.244434
## 2019-08-01 40.254068 40.562380 39.348401 39.454384  139325900    39.454384
## 2019-08-02 39.300229 39.386942 38.953377 39.068993   92796300    39.068993
## 2019-08-05 37.989901 38.066977 37.431083 37.623779  131194100    37.623779
## 2019-08-06 38.269312 38.356025 37.912823 38.163330   88071500    38.163330
## 2019-08-07 37.777935 38.356024 37.623779 38.336754  106772500    38.336754
## 2019-08-08 38.577624 38.828127 38.481275 38.808857   81187700    38.808857
## 2019-08-09 38.567986 38.625796 38.250041 38.413830   64704000    38.413830
## 2019-08-12 37.932089 38.076612 37.845377 37.951359   78559800    37.951359
## 2019-08-13 37.662317 38.645065 37.594874 38.433098  110271800    38.433098
## 2019-08-14 37.662319 37.758666 37.305833 37.325104  102911500    37.325104
## 2019-08-15 37.671949 37.729759 37.392543 37.575603   78018300    37.575603
## 2019-08-16 37.922456 38.250038 37.922456 38.095882   52047900    38.095882
## 2019-08-19 38.577620 38.587253 38.221131 38.250038   43330900    38.250038
## 2019-08-20 38.375295 38.510181 38.278945 38.327118   44920900    38.327118
## 2019-08-21 38.731773 38.731773 38.510173 38.693233   39677100    38.693233
## 2019-08-22 38.404193 38.461999 38.086244 38.192226   41603000    38.192226
## 2019-08-23 38.105518 38.462003 37.565973 37.623779   80560300    37.623779
## 2019-08-26 37.893554 37.941727 37.729761 37.826107   58145000    37.826107
## 2019-08-27 38.086248 38.221133 37.864648 37.893555   62899100    37.893555
## 2019-08-28 37.826104 38.066973 37.729758 37.999531   49483900    37.999531
## 2019-08-29 38.240403 38.452369 38.105517 38.423466   43359900    38.423466
## 2019-08-30 38.741411 38.751047 38.500541 38.722141   57071300    38.722141
## 2019-09-03 38.278945 38.490911 38.278945 38.481274   50339600    38.481274
## 2019-09-04 39.011185 39.174974 38.924472 39.126801   65958900    39.126801
## 2019-09-05 39.589270 39.714523 39.550729 39.570000   72704000    39.570000
## 2019-09-06 39.791600 39.878313 39.695254 39.743427   48716200    39.743427
## 2019-09-09 39.849413 39.984299 39.743430 39.868683   38554200    39.868683
## 2019-09-10 39.830136 39.974659 39.666343 39.897579   48449600    39.897579
## 2019-09-11 40.042104 40.205894 39.974662 40.176991   62563900    40.176991
## 2019-09-12 40.437135 40.706907 40.292612 40.466038   74590100    40.466038
## 2019-09-13 40.706902 40.803248 40.620189 40.697269   58403500    40.697269
## 2019-09-16 40.379322 40.572018 40.282975 40.379322   62905800    40.379322
## 2019-09-17 40.013200 40.408225 39.984296 40.379322   98835700    40.379322
## 2019-09-18 40.311880 40.369690 39.897585 40.215534   70984700    40.215534
## 2019-09-19 40.215536 40.350422 39.984300 40.051743   52527900    40.051743
## 2019-09-20 40.350418 40.398591 39.926486 40.090279   84880500    40.090279
## 2019-09-23 39.897586 40.148088 39.897586 40.128822   41828800    40.128822
## 2019-09-24 40.109553 40.119186 39.666351 39.704891   57006500    39.704891
## 2019-09-25 39.444748 39.762696 39.300228 39.675983   43393200    39.675983
## 2019-09-26 39.743428 39.791601 39.550732 39.666348   37645800    39.666348
## 2019-09-27 39.666346 39.762695 39.011185 39.155704   79236200    39.155704
## 2019-09-30 39.483287 39.598903 39.329131 39.377304   43961000    39.377304
## 2019-10-01 39.406213 39.415845 39.068993 39.097900   48520000    39.097900
## 2019-10-02 38.808851 38.866660 38.606522 38.799217   41806300    38.799217
## 2019-10-03 38.934102 39.300224 38.828118 39.300224   62287700    39.300224
## 2019-10-04 39.184610 39.550732 39.146074 39.473656   54314800    39.473656
## 2019-10-07 39.232785 39.435114 39.117165 39.146072   57065700    39.146072
## 2019-10-08 39.068994 39.117167 38.837762 38.866665   57784200    38.866665
## 2019-10-09 39.184610 39.319499 39.117166 39.165344   41122500    39.165344
## 2019-10-10 39.309860 39.733793 39.300227 39.570000   49289100    39.570000
## 2019-10-11 40.176995 40.514210 40.109551 40.205898   95248800    40.205898
## 2019-10-14 40.157724 40.215535 40.022838 40.032471   29228200    40.032471
## 2019-10-15 40.148085 40.475667 40.128819 40.388954   50663000    40.388954
## 2019-10-16 40.350418 40.543114 40.263705 40.504574   40768400    40.504574
## 2019-10-17 40.822522 40.841792 40.600922 40.658733   56380200    40.658733
## 2019-10-18 40.572015 40.677997 40.340779 40.446762   78858900    40.446762
## 2019-10-21 40.620193 40.822522 40.562382 40.812889   38432200    40.812889
## 2019-10-22 40.841785 40.986308 40.783979 40.841785   53409500    40.841785
## 2019-10-23 40.678002 40.899602 40.649096 40.851429   43342700    40.851429
## 2019-10-24 41.024855 41.034488 40.822522 40.851429   61391900    40.851429
## 2019-10-25 40.851427 41.169372 40.832156 41.140469   49443700    41.140469
## 2019-10-28 41.333163 41.487318 41.313893 41.381336   56279100    41.381336
## 2019-10-29 41.169373 41.294626 41.130833 41.169373   33949800    41.169373
## 2019-10-30 41.073031 41.352436 40.899605 41.352436   60881000    41.352436
## 2019-10-31 41.198275 41.207912 40.812887 41.024853   56057700    41.024853
## 2019-11-01 41.458413 41.670379 41.439143 41.641476   72772400    41.641476
## 2019-11-04 42.171390 42.219564 41.988332 42.055775   62191600    42.055775
## 2019-11-05 42.306279 42.335182 42.103950 42.296646   62354500    42.296646
## 2019-11-06 42.267734 42.306274 42.026865 42.161751   61670500    42.161751
## 2019-11-07 42.479703 42.633859 42.421893 42.470070   97598200    42.470070
## 2019-11-08 42.132849 42.229198 41.997962 42.084675   68666900    42.084675
## 2019-11-11 41.564399 41.834172 41.525859 41.785999   47092800    41.785999
## 2019-11-12 41.680017 41.699288 41.439148 41.516228   57453500    41.516228
## 2019-11-13 41.101931 41.275357 41.044121 41.198277   63134600    41.198277
## 2019-11-14 41.159737 41.284986 41.015214 41.227180   48737400    41.227180
## 2019-11-15 41.496954 41.641477 41.458414 41.554764   67670700    41.554764
## 2019-11-18 41.564396 41.641476 41.448780 41.487320   52545500    41.487320
## 2019-11-19 41.795635 41.795635 41.516225 41.574036   40853600    41.574036
## 2019-11-20 41.429508 41.583664 41.217542 41.390968   51991800    41.390968
## 2019-11-21 41.227184 41.323530 41.121200 41.304260   43842600    41.304260
## 2019-11-22 41.381340 41.419880 41.207913 41.304260   23519900    41.304260
## 2019-11-25 41.564396 41.757092 41.525856 41.718552   57048200    41.718552
## 2019-11-26 41.487324 41.612575 41.323531 41.593304   49571200    41.593304
## 2019-11-27 41.516223 41.660747 41.439143 41.641476   30402300    41.641476
## 2019-11-29 41.082659 41.159739 40.986313 40.986313   35476600    40.986313
## 2019-12-02 41.111563 41.121200 40.822521 40.976677   59762300    40.976677
## 2019-12-03 40.620190 40.774347 40.437131 40.764713   50471700    40.764713
## 2019-12-04 41.073029 41.140472 41.015219 41.073029   47026100    41.073029
## 2019-12-05 41.159741 41.313898 41.092299 41.256088   43346400    41.256088
## 2019-12-06 41.496956 41.554766 41.410243 41.496956   56766600    41.496956
## 2019-12-09 41.458413 41.593299 41.313893 41.333164   37622000    41.333164
## 2019-12-10 41.419878 41.564397 41.342798 41.477684   34791300    41.477684
## 2019-12-11 41.708920 42.123215 41.689649 42.084675   60083200    42.084675
## 2019-12-12 42.209928 42.874727 42.171388 42.816917  132196700    42.816917
## 2019-12-13 42.922902 43.231215 42.682033 42.797649  160526800    42.797649
## 2019-12-16 43.190290 43.308376 43.121407 43.160770   81828000    43.160770
## 2019-12-17 43.495349 43.603596 43.416623 43.554390   79046200    43.554390
## 2019-12-18 43.751202 43.800404 43.652798 43.790565   67065000    43.790565
## 2019-12-19 43.652798 43.820086 43.623277 43.810246   59364600    43.810246
## 2019-12-20 43.859448 43.957852 43.790564 43.898811   69295600    43.898811
## 2019-12-23 43.879128 43.957851 43.829926 43.957851   29479500    43.957851
## 2019-12-24 43.869290 43.908649 43.770882 43.859447   18951500    43.859447
## 2019-12-26 44.026741 44.194029 44.007059 44.174347   24947900    44.174347
## 2019-12-27 44.459725 44.479407 44.233393 44.351479   48407900    44.351479
## 2019-12-30 44.459727 44.459727 43.997219 44.056263   44522800    44.056263
## 2019-12-31 44.085779 44.203865 43.967693 44.154663   47292800    44.154663
## 2020-01-02 44.636854 45.050156 44.627010 45.050156   78570100    45.050156
## 2020-01-03 44.312116 44.538448 44.194030 44.213711   78998200    44.213711
## 2020-01-06 43.888966 44.154663 43.879128 44.105461   40085300    44.105461
## 2020-01-07 44.075939 44.184186 43.977531 44.075939   65705300    44.075939
## 2020-01-08 44.016898 44.577809 43.977534 44.331795   86913300    44.331795
## 2020-01-09 44.754939 44.754939 44.538445 44.627010   53199900    44.627010
## 2020-01-10 44.912392 45.040320 44.804146 44.863190   67573300    44.863190
## 2020-01-13 45.178086 45.581549 45.079681 45.561867   79593800    45.561867
## 2020-01-14 45.296172 45.335536 45.089521 45.306015   75746900    45.306015
## 2020-01-15 45.138722 45.187924 44.882869 44.951752   60620600    44.951752
## 2020-01-16 45.246969 45.306013 45.099362 45.237129   50712700    45.237129
## 2020-01-17 45.384738 45.522505 45.276490 45.492985   72382100    45.492985
## 2020-01-21 44.548288 44.627011 44.312113 44.341637  106662600    44.341637
## 2020-01-22 44.833666 44.853349 44.577810 44.705738   57584900    44.705738
## 2020-01-23 44.007057 44.380996 43.770882 44.243229   88714300    44.243229
## 2020-01-24 44.302275 44.312115 43.682318 43.888969   88654500    43.888969
## 2020-01-27 42.058627 44.253074 41.979900 42.373524  129321800    42.373524
## 2020-01-28 42.530970 42.806506 42.343998 42.727779   82396700    42.727779
## 2020-01-29 43.062362 43.091886 42.806509 42.934437   51814700    42.934437
## 2020-01-30 41.979898 42.343998 41.753564 42.294796  105864200    42.294796
## 2020-01-31 41.625636 41.655161 41.212334 41.438667   99532200    41.438667
## 2020-02-03 41.596113 41.999577 41.586271 41.901173   71309200    41.901173
## 2020-02-04 42.983639 43.229653 42.954119 42.983639   73939300    42.983639
## 2020-02-05 43.751202 43.761044 43.200132 43.229652   74350800    43.229652
## 2020-02-06 43.623274 43.642951 43.259169 43.269012   80118800    43.269012
## 2020-02-07 42.836027 42.855708 42.560492 42.668739   58449900    42.668739
## 2020-02-10 42.688421 42.934436 42.688421 42.904911   45350800    42.904911
## 2020-02-11 43.436303 43.702000 43.377263 43.465824   58708400    43.465824
## 2020-02-12 43.879133 44.125147 43.790567 44.056263   41641100    44.056263
## 2020-02-13 43.583913 43.741363 43.455985 43.475666   64757500    43.475666
## 2020-02-14 43.751203 43.761046 43.337901 43.495350   45095300    43.495350
## 2020-02-18 43.190287 43.347736 43.111564 43.209969   40176200    43.209969
## 2020-02-19 43.544549 43.623276 43.485505 43.524868   45651500    43.524868
## 2020-02-20 43.180451 43.633116 42.708104 42.845871  109316300    42.845871
## 2020-02-21 42.747464 42.836029 42.540813 42.599857   70553100    42.599857
## 2020-02-24 40.799029 41.241856 40.769508 41.005680  101505600    41.005680
## 2020-02-25 41.605956 41.674839 40.680943 40.680943  118601100    40.680943
## 2020-02-26 41.163133 41.566597 40.976159 41.005680  109411100    41.005680
## 2020-02-27 40.553014 40.858073 40.011783 40.021622  151063200    40.021622
## 2020-02-28 38.919479 39.972421 38.653784 39.874016  201191200    39.874016
## 2020-03-02 39.992099 40.749825 39.755928 40.739986  135152300    40.739986
## 2020-03-03 40.749825 41.409145 40.179073 40.464447  141798700    40.464447
## 2020-03-04 41.074566 41.261535 40.848228 41.182808   80064800    41.182808
## 2020-03-05 40.858072 41.015521 40.149549 40.316841  107474200    40.316841
## 2020-03-06 39.627998 39.746084 39.175333 39.490231  104006900    39.490231
## 2020-03-09 36.636467 37.492595 36.016508 36.793915  143376900    36.793915
## 2020-03-10 38.329048 38.702991 37.561480 38.663628  142773700    38.663628
## 2020-03-11 37.591002 37.718930 36.626625 36.862797  137795400    36.862797
## 2020-03-12 33.585887 34.117275 32.365654 33.172581  171341200    33.172581
## 2020-03-13 36.026352 36.114917 33.831903 35.563843  128272900    35.563843
## 2020-03-16 31.489844 32.946250 31.086381 31.125742  101553900    31.125742
## 2020-03-17 32.040916 33.270988 31.519364 33.270988   92310900    33.270988
## 2020-03-18 30.417221 31.509525 29.669337 30.397539  101136100    30.397539
## 2020-03-19 30.318815 31.047017 29.767743 30.633713   68919700    30.633713
## 2020-03-20 32.070438 32.198366 30.751801 30.860048  100290200    30.860048
## 2020-03-23 30.564828 30.663235 29.620134 30.122004   97832900    30.122004
## 2020-03-24 32.090122 32.444382 31.834264 32.385338   84450500    32.385338
## 2020-03-25 32.975770 33.979510 32.660872 33.526844   79588900    33.526844
## 2020-03-26 33.812222 34.884845 33.733496 34.796280   89991500    34.796280
## 2020-03-27 32.916726 33.418593 32.660869 32.818317   74103800    32.818317
## 2020-03-30 32.936408 33.389074 32.690394 33.359554   47544900    33.359554
## 2020-03-31 33.438278 33.999190 33.379233 33.585888   64131300    33.585888
## 2020-04-01 32.572307 32.798644 32.099960 32.149162   65580600    32.149162
## 2020-04-02 32.759278 33.398914 32.670713 33.231625   55784000    33.231625
## 2020-04-03 33.152900 33.320192 32.424700 32.601830   68672500    32.601830
## 2020-04-06 33.890944 34.392816 33.753176 34.382973   82394800    34.382973
## 2020-04-07 35.514641 35.544162 34.491220 34.560104   74322600    34.560104
## 2020-04-08 34.648667 35.002929 34.382972 34.914364   47112900    34.914364
## 2020-04-09 35.288306 35.514639 34.697869 34.786434   67239300    34.786434
## 2020-04-13 34.776595 34.884842 34.442015 34.835640   38193400    34.835640
## 2020-04-14 35.632725 35.898422 35.435912 35.632725   52817400    35.632725
## 2020-04-15 34.786435 34.894682 34.560103 34.717552   60775200    34.717552
## 2020-04-16 35.209578 35.248941 34.786432 34.904522   37215100    34.904522
## 2020-04-17 35.849219 35.898422 35.426074 35.681927   40870300    35.681927
## 2020-04-20 35.307986 35.662247 35.160376 35.229259   44402700    35.229259
## 2020-04-21 34.422340 34.619151 34.186168 34.255051   46166600    34.255051
## 2020-04-22 35.209581 35.298146 35.121016 35.189899   37455800    35.189899
## 2020-04-23 35.465441 35.711455 35.042296 35.061977   40733100    35.061977
## 2020-04-24 35.121015 35.170221 34.688031 35.012772   30553700    35.012772
## 2020-04-27 35.475277 35.790175 35.416236 35.721291   30617400    35.721291
## 2020-04-28 36.233000 36.262520 35.770491 35.790173   34463600    35.790173
## 2020-04-29 36.400292 36.902159 36.331404 36.833275   45483100    36.833275
## 2020-04-30 36.646308 36.764393 35.819699 36.055870   59181700    36.055870
## 2020-05-01 35.180057 35.307985 34.638826 34.756912   56829000    34.756912
## 2020-05-04 34.894683 35.170222 34.756916 35.130859   37036200    35.130859
## 2020-05-05 35.485119 35.662251 35.288308 35.327671   41772700    35.327671
## 2020-05-06 35.544162 35.583525 35.199743 35.219425   36584500    35.219425
## 2020-05-07 35.554005 35.662252 35.337511 35.504803   36883300    35.504803
## 2020-05-08 35.957470 36.360933 35.927945 36.252686   60613000    36.252686
## 2020-05-11 36.036192 36.252686 35.977151 36.016510   31053700    36.016510
## 2020-05-12 36.311726 36.567579 35.868899 35.878738   49641400    35.878738
## 2020-05-13 36.282204 36.360930 35.573685 35.809856   55002900    35.809856
## 2020-05-14 35.121016 36.006668 34.993090 35.947624   58633700    35.947624
## 2020-05-15 35.386713 35.622889 35.268627 35.455597   40402000    35.455597
## 2020-05-18 36.331402 36.921839 36.321563 36.843113   47487700    36.843113
## 2020-05-19 36.784077 36.961207 36.528220 36.547901   36152600    36.547901
## 2020-05-20 37.128495 37.305625 36.823435 37.030090   43140300    37.030090
## 2020-05-21 36.803758 36.931682 36.429814 36.606945   42845500    36.606945
## 2020-05-22 36.036190 36.036190 35.731134 35.849220   47355000    35.849220
## 2020-05-26 36.980889 37.128496 36.597104 36.636467   54511200    36.636467
## 2020-05-27 36.803758 36.833278 36.321568 36.754551   47182400    36.754551
## 2020-05-28 36.872642 37.049773 36.479018 36.498699   53388700    36.498699
## 2020-05-29 36.754550 37.197377 36.498697 37.128494   63616700    37.128494
## 2020-06-01 37.472917 38.014148 37.404029 37.984623   49360200    37.984623
## 2020-06-02 38.447131 38.939160 38.358566 38.889957   54010500    38.889957
## 2020-06-03 39.411510 39.874018 39.352469 39.795292   60769300    39.795292
## 2020-06-04 39.273742 39.539438 39.037566 39.234379   50969300    39.234379
## 2020-06-05 40.247962 40.503815 40.169235 40.267639   52467500    40.267639
## 2020-06-08 40.149553 40.533335 39.913381 40.513653   39777100    40.513653
## 2020-06-09 39.933062 40.326683 39.785451 40.238117   44389800    40.238117
## 2020-06-10 40.356198 40.651418 40.021618 40.533329   81172700    40.533329
## 2020-06-11 39.224537 39.441031 38.368408 38.417610   91271100    38.417610
## 2020-06-12 39.381989 39.460711 38.653785 39.234379   73779500    39.234379
## 2020-06-15 38.224813 39.105704 38.106041 38.878059   76868600    38.878059
## 2020-06-16 39.857933 39.857933 38.848370 39.125504   79638000    39.125504
## 2020-06-17 39.462025 39.699571 39.382846 39.501617   61471100    39.501617
## 2020-06-18 39.402641 39.669879 39.392741 39.521412   48131400    39.521412
## 2020-06-19 40.055888 40.065785 39.372947 39.511513   72411300    39.511513
## 2020-06-22 39.778748 40.085577 39.689668 39.996498   39024200    39.996498
## 2020-06-23 40.471586 40.649745 40.342915 40.382507   32995800    40.382507
## 2020-06-24 40.224147 40.342918 39.570901 39.848034   51150200    39.848034
## 2020-06-25 39.709467 40.026193 39.570901 40.016296   48199000    40.016296
## 2020-06-26 39.897523 39.917319 39.363048 39.531307   53901200    39.531307
## 2020-06-29 39.541207 39.729260 39.313560 39.709465   34712700    39.709465
## 2020-06-30 39.640182 39.679774 39.333357 39.580799   67644600    39.580799
## 2020-07-01 39.798546 40.174658 39.768853 40.026192   51766200    40.026192
## 2020-07-02 40.887291 41.174320 40.758620 40.936779   42240200    40.936779
## 2020-07-06 42.342247 42.708464 42.342247 42.698563   69159900    42.698563
## 2020-07-07 42.154193 42.441227 41.966140 41.985931   34004100    41.985931
## 2020-07-08 42.559998 43.074677 42.510511 43.074677   42278100    43.074677
## 2020-07-09 43.450791 43.510174 42.688669 43.074677   64950400    43.074677
## 2020-07-10 42.787643 42.856926 42.510509 42.797543   45293500    42.797543
## 2020-07-13 43.094472 43.411197 42.431326 42.510509   47039600    42.510509
## 2020-07-14 42.015626 42.688668 41.916647 42.569893   56528000    42.569893
## 2020-07-15 42.827234 42.906413 42.530305 42.698563   48309100    42.698563
## 2020-07-16 41.877060 42.134399 41.817673 42.094807   36512000    42.094807
## 2020-07-17 42.401636 42.421432 42.114602 42.332352   40913000    42.332352
## 2020-07-20 42.569890 42.926207 42.451119 42.876720   23319300    42.876720
## 2020-07-21 43.549767 43.569562 43.252838 43.272633   44420500    43.272633
## 2020-07-22 43.262730 43.262730 42.847030 43.084572   31232200    43.084572
## 2020-07-23 43.054881 43.223139 42.530305 42.738155   39243400    42.738155
## 2020-07-24 42.282863 42.698563 42.193784 42.698563   30184800    42.698563
## 2020-07-27 42.995494 43.391402 42.866826 43.361710   39112200    43.361710
## 2020-07-28 43.282528 43.332015 42.955907 43.005394   31219100    43.005394
## 2020-07-29 43.401297 43.817001 43.401297 43.698231   37830900    43.698231
## 2020-07-30 43.183551 43.312217 42.748051 43.143959   47900300    43.143959
## 2020-07-31 43.183552 43.193448 42.520406 42.847031   62457700    42.847031
## 2020-08-03 43.005393 43.242935 42.965801 43.143959   30603000    43.143959
## 2020-08-04 43.332013 43.718021 43.322116 43.718021   40597400    43.718021
## 2020-08-05 44.104035 44.391065 44.074340 44.193115   36768200    44.193115
## 2020-08-06 44.064442 44.351475 43.906080 44.331680   33523700    44.331680
## 2020-08-07 43.539868 43.698231 43.193447 43.421093   35759300    43.421093
## 2020-08-10 43.490376 43.619047 43.193446 43.529968   26964700    43.529968
## 2020-08-11 43.817002 43.906082 43.361710 43.411198   34166400    43.411198
## 2020-08-12 43.856592 44.123830 43.757613 43.995159   30740100    43.995159
## 2020-08-13 43.945672 44.014955 43.678434 43.866489   26509200    43.866489
## 2020-08-14 43.757616 43.856595 43.698233 43.787312   24593800    43.787312
## 2020-08-17 44.113933 44.361375 44.044650 44.341579   26422200    44.341579
## 2020-08-18 44.341578 44.410862 44.005057 44.292091   34464800    44.292091
## 2020-08-19 44.153524 44.163419 43.737819 43.747719   28391100    43.747719
## 2020-08-20 43.015288 43.619047 42.926209 43.609150   38399500    43.609150
## 2020-08-21 43.529968 43.846692 43.341913 43.826897   34657800    43.826897
## 2020-08-24 44.480145 44.509840 44.143624 44.311886   26576500    44.311886
## 2020-08-25 44.460349 44.796870 44.361374 44.757282   27608400    44.757282
## 2020-08-26 44.767179 44.925540 44.707791 44.876053   31465300    44.876053
## 2020-08-27 44.994823 44.994823 44.311884 44.499939   31947400    44.499939
## 2020-08-28 44.777079 45.093804 44.658304 45.083904   24151700    45.083904
## 2020-08-31 44.252498 44.262398 43.797206 44.084240   52790000    44.084240
## 2020-09-01 44.499939 44.866156 44.460347 44.836460   34212200    44.836460
## 2020-09-02 44.895849 44.905745 44.321782 44.717690   50638400    44.717690
## 2020-09-03 44.480144 44.490043 43.589355 43.866489   82433300    43.866489
## 2020-09-04 43.965463 44.203010 43.134063 43.886284   62284500    43.886284
## 2020-09-08 43.114268 43.510173 42.985598 43.124165   50051100    43.124165
## 2020-09-09 43.559659 43.856592 43.450788 43.767513   49010500    43.767513
## 2020-09-10 43.817002 43.886286 43.064777 43.064777   54276200    43.064777
## 2020-09-11 43.658639 43.797206 43.262730 43.480480   49400700    43.480480
## 2020-09-14 44.054545 44.252500 43.995162 44.183216   38892300    44.183216
## 2020-09-15 44.727586 44.767178 44.559327 44.648407   30541000    44.648407
## 2020-09-16 44.786974 44.945337 44.569225 44.589020   38179100    44.589020
## 2020-09-17 44.054545 44.480146 44.024854 44.410862   38231100    44.410862
## 2020-09-18 44.450454 44.490046 43.995162 44.064445   34270500    44.064445
## 2020-09-21 43.322116 43.688329 42.946004 43.658638   42901100    43.658638
## 2020-09-22 43.500278 43.520074 42.975699 43.332016   44884000    43.332016
## 2020-09-23 43.203350 43.282529 42.619386 42.658974   40837000    42.658974
## 2020-09-24 42.065112 42.757950 41.995828 42.461021   46493800    42.461021
## 2020-09-25 42.104705 42.520405 41.857263 42.500610   44165700    42.500610
## 2020-09-28 43.064776 43.153855 42.767847 42.975697   45528300    42.975697
## 2020-09-29 42.847032 43.084574 42.807441 42.946007   25333200    42.946007
## 2020-09-30 43.282528 43.757615 43.252836 43.638844   48674300    43.638844
## 2020-10-01 43.965464 44.074339 43.708126 44.044647   51521100    44.044647
## 2020-10-02 43.381504 43.925875 43.332013 43.539867   32647100    43.539867
## 2020-10-05 43.777412 44.123833 43.777412 44.123833   36059100    44.123833
## 2020-10-06 44.262398 44.539532 44.054544 44.203011   43464800    44.203011
## 2020-10-07 44.608817 44.826566 44.480146 44.688000   45691100    44.688000
## 2020-10-08 44.846361 45.103699 44.490045 45.054211   29669900    45.054211
## 2020-10-09 45.163088 45.489709 45.034417 45.361042   31901900    45.361042
## 2020-10-12 45.608484 45.865821 45.509505 45.756947   40037700    45.756947
## 2020-10-13 45.598582 45.628273 45.331344 45.568890   35585000    45.568890
## 2020-10-14 45.549095 45.667866 45.242266 45.262062   42300500    45.262062
## 2020-10-15 44.608815 44.975028 44.559326 44.935440   41119300    44.935440
## 2020-10-16 45.093803 45.222471 44.945337 45.093803   31611400    45.093803
## 2020-10-19 45.232372 45.420426 44.876055 44.965134   30869500    44.965134
## 2020-10-20 45.242264 45.697556 45.222469 45.460014   51631300    45.460014
## 2020-10-21 45.529301 45.846027 45.469914 45.588688   42909300    45.588688
## 2020-10-22 45.667864 45.707456 45.351140 45.578785   41884100    45.578785
## 2020-10-23 45.618378 45.846024 45.400628 45.846024   36931400    45.846024
## 2020-10-26 45.301654 45.568893 44.885950 45.252167   53574300    45.252167
## 2020-10-27 45.380831 45.578786 45.232369 45.450115   41828600    45.450115
## 2020-10-28 44.727587 44.786974 44.272295 44.311886   67047200    44.311886
## 2020-10-29 44.480145 44.905745 44.321782 44.757282   44763400    44.757282
## 2020-10-30 44.391065 44.460349 43.955570 44.252499   66155200    44.252499
## 2020-11-02 44.717690 44.836461 44.460349 44.816666   51001600    44.816666
## 2020-11-03 44.895847 45.133388 44.717688 45.014618   49744300    45.014618
## 2020-11-04 45.618380 46.608147 45.529301 46.429989   81110200    46.429989
## 2020-11-05 47.221802 47.419756 46.825897 47.221802   78029300    47.221802
## 2020-11-06 47.182210 47.617711 47.053544 47.439552   57353300    47.439552
## 2020-11-09 48.973689 49.023177 47.746380 47.766171   74889400    47.766171
## 2020-11-10 47.578119 47.696890 47.013952 47.221802   68735600    47.221802
## 2020-11-11 47.152516 47.607808 47.073337 47.528629   46272000    47.528629
## 2020-11-12 47.647401 47.815664 47.053543 47.172314   41292600    47.172314
## 2020-11-13 47.746382 47.865153 47.498940 47.835461   48143400    47.835461
## 2020-11-16 48.350134 48.587680 48.261055 48.429317   63565900    48.429317
## 2020-11-17 48.132387 48.508496 48.063103 48.379829   34661600    48.379829
## 2020-11-18 48.587680 48.597575 48.201671 48.211567   32343400    48.211567
## 2020-11-19 47.983923 48.360036 47.884947 48.290752   27524000    48.290752
## 2020-11-20 48.399625 48.696554 48.360034 48.557987   35259100    48.557987
## 2020-11-23 49.082565 49.092461 48.577786 48.686657   38979600    48.686657
## 2020-11-24 49.092459 49.369597 48.835122 49.339901   39275200    49.339901
## 2020-11-25 48.894509 49.092458 48.755937 49.062767   47358000    49.062767
## 2020-11-27 49.438883 49.656629 49.399291 49.527962   27040300    49.527962
## 2020-11-30 48.805431 48.805431 48.211569 48.231365   60622800    48.231365
## 2020-12-01 49.082562 49.369596 48.845016 49.181538   50376400    49.181538
## 2020-12-02 49.102362 49.349804 48.914303 49.250824   42826100    49.250824
## 2020-12-03 49.716016 50.062437 49.676425 49.814995   61408300    49.814995
## 2020-12-04 50.201003 50.359366 50.111924 50.329670   42230900    50.329670
## 2020-12-07 50.260387 50.468241 50.131720 50.329670   43115100    50.329670
## 2020-12-08 50.270285 50.349464 50.111922 50.349464   28632600    50.349464
## 2020-12-09 50.507826 50.507826 49.676422 49.913967   40762600    49.913967
## 2020-12-10 49.854582 50.616703 49.824890 50.557320   36032000    50.557320
## 2020-12-11 50.240592 50.389059 50.111925 50.201004   38034400    50.201004
## 2020-12-14 50.320000 50.349998 49.910000 49.939999   34407200    49.939999
## 2020-12-15 50.160000 50.509998 50.020000 50.480000   39345000    50.480000
## 2020-12-16 50.580002 50.799999 50.470001 50.720001   38243300    50.720001
## 2020-12-17 51.049999 51.110001 50.889999 51.049999   36323800    51.049999
## 2020-12-18 50.950001 51.020000 50.779999 50.990002   47662800    50.990002
## 2020-12-21 49.860001 50.450001 49.840000 50.240002   48558100    50.240002
## 2020-12-22 50.110001 50.160000 49.770000 49.840000   35229900    49.840000
## 2020-12-23 50.320000 50.459999 50.250000 50.349998   36469400    50.349998
## 2020-12-24 50.209999 50.330002 49.860001 50.130001   20689000    50.130001
## 2020-12-28 50.369999 50.439999 50.160000 50.270000   26906100    50.270000
## 2020-12-29 50.720001 51.060001 50.680000 51.020000   41965900    51.020000
## 2020-12-30 51.639999 51.880001 51.590000 51.700001   35759500    51.700001
## 2020-12-31 51.990002 52.000000 51.360001 51.669998   35680200    51.669998
## 2021-01-04 52.619999 52.810001 51.830002 52.000000   48201300    52.000000
## 2021-01-05 52.490002 53.270000 52.490002 53.250000   53358000    53.250000
## 2021-01-06 52.849998 53.439999 52.660000 52.799999   56418700    52.799999
## 2021-01-07 53.080002 53.299999 52.820000 53.299999   41031300    53.299999
## 2021-01-08 54.250000 54.740002 53.939999 54.709999   76024300    54.709999
## 2021-01-11 53.990002 54.299999 53.910000 53.970001   40816400    53.970001
## 2021-01-12 54.310001 54.610001 54.160000 54.500000   47570500    54.500000
## 2021-01-13 54.599998 54.889999 54.279999 54.619999   33561200    54.619999
## 2021-01-14 55.220001 55.480000 55.060001 55.130001   38837200    55.130001
## 2021-01-15 54.560001 54.669998 54.209999 54.349998   58519000    54.349998
## 2021-01-19 55.500000 55.540001 55.119999 55.250000   50429300    55.250000
## 2021-01-20 56.200001 56.259998 55.950001 56.220001   38832500    56.220001
## 2021-01-21 56.410000 56.450001 56.110001 56.320000   31457000    56.320000
## 2021-01-22 55.540001 55.950001 55.470001 55.830002   48223800    55.830002
## 2021-01-25 56.450001 56.540001 55.709999 56.250000   50793700    56.250000
## 2021-01-26 55.790001 55.930000 55.529999 55.840000   32283000    55.840000
## 2021-01-27 54.660000 54.880001 54.250000 54.290001   45279700    54.290001
## 2021-01-28 54.189999 54.869999 54.049999 54.669998   38055000    54.669998
## 2021-01-29 53.720001 53.849998 53.049999 53.310001   57657800    53.310001
## 2021-02-01 54.419998 54.849998 54.160000 54.750000   51427000    54.750000
## 2021-02-02 55.549999 55.590000 55.290001 55.459999   33172200    55.459999
## 2021-02-03 55.830002 55.950001 55.570000 55.740002   32363100    55.740002
## 2021-02-04 55.680000 55.799999 55.340000 55.759998   40161800    55.759998
## 2021-02-05 56.009998 56.259998 55.799999 56.240002   24242300    56.240002
## 2021-02-08 56.040001 56.439999 56.029999 56.340000   21606000    56.340000
## 2021-02-09 56.349998 56.990002 56.340000 56.939999   27200000    56.939999
## 2021-02-10 57.450001 57.529999 56.799999 57.139999   30531200    57.139999
## 2021-02-11 57.650002 58.000000 57.540001 57.750000   48875000    57.750000
## 2021-02-12 57.500000 57.970001 57.410000 57.799999   28400400    57.799999
## 2021-02-16 58.130001 58.290001 57.790001 57.939999   34954000    57.939999
## 2021-02-17 57.840000 58.000000 57.549999 57.959999   37789100    57.959999
## 2021-02-18 57.020000 57.160000 56.540001 57.160000   46118400    57.160000
## 2021-02-19 57.500000 57.810001 57.340000 57.529999   39809800    57.529999
## 2021-02-22 56.000000 56.369999 55.779999 55.840000   46924200    55.840000
## 2021-02-23 55.480000 56.279999 54.790001 56.090000   40316200    56.090000
## 2021-02-24 55.160000 55.750000 54.820000 55.730000   36631300    55.730000
## 2021-02-25 55.759998 55.900002 54.380001 54.459999   50895200    54.459999
## 2021-02-26 54.110001 54.150002 53.389999 53.730000   68933600    53.730000
## 2021-03-01 54.820000 55.330002 54.700001 55.169998   53421400    55.169998
## 2021-03-02 54.869999 54.910000 54.459999 54.630001   38533600    54.630001
## 2021-03-03 55.040001 55.180000 54.320000 54.520000   43013300    54.520000
## 2021-03-04 54.299999 54.549999 52.970001 53.250000   70653800    53.250000
## 2021-03-05 54.009998 54.029999 52.799999 53.830002   64018500    53.830002
## 2021-03-08 52.880001 53.029999 52.250000 52.380001   54120600    52.380001
## 2021-03-09 53.150002 53.830002 53.080002 53.529999   42450100    53.529999
## 2021-03-10 53.770000 53.790001 53.040001 53.290001   42853900    53.290001
## 2021-03-11 54.509998 55.040001 54.270000 54.970001   57247200    54.970001
## 2021-03-12 53.840000 53.990002 53.580002 53.990002   41559600    53.990002
## 2021-03-15 53.730000 54.130001 53.590000 54.119999   32447400    54.119999
## 2021-03-16 54.290001 54.549999 54.110001 54.349998   41261600    54.349998
## 2021-03-17 53.650002 54.660000 53.520000 54.419998   57032400    54.419998
## 2021-03-18 53.930000 54.090000 53.389999 53.419998   49205900    53.419998
## 2021-03-19 53.500000 54.080002 53.330002 54.080002   60265700    54.080002
## 2021-03-22 53.740002 54.080002 53.549999 53.919998   24860300    53.919998
## 2021-03-23 53.220001 53.400002 52.860001 52.889999   40356400    52.889999
## 2021-03-24 52.549999 52.630001 51.680000 51.680000   45315400    51.680000
## 2021-03-25 51.560001 52.070000 51.520000 51.919998   73684400    51.919998
## 2021-03-26 52.400002 53.320000 52.160000 53.270000  142402800    53.270000
## 2021-03-29 52.840000 53.119999 52.639999 52.900002   51309500    52.900002
## 2021-03-30 52.880001 53.180000 52.730000 53.070000   44414300    53.070000
## 2021-03-31 53.009998 53.520000 53.009998 53.340000   38807500    53.340000
## 2021-04-01 54.119999 54.220001 53.810001 53.860001   44592700    53.860001
## 2021-04-05 54.189999 54.250000 53.950001 54.070000   30891600    54.070000
## 2021-04-06 54.080002 54.599998 53.959999 54.369999   31509200    54.369999
## 2021-04-07 53.610001 53.750000 53.380001 53.570000   47888100    53.570000
## 2021-04-08 54.119999 54.279999 53.990002 54.009998   50373000    54.009998
## 2021-04-09 53.490002 53.570000 53.369999 53.549999   35808300    53.549999
## 2021-04-12 53.180000 53.290001 53.060001 53.230000   30045900    53.230000
## 2021-04-13 53.240002 53.639999 53.160000 53.450001   33697900    53.450001
## 2021-04-14 53.930000 54.040001 53.669998 53.720001   27449500    53.720001
## 2021-04-15 54.160000 54.259998 53.990002 54.209999   42622000    54.209999
## 2021-04-16 54.349998 54.430000 54.099998 54.349998   32031300    54.349998
## 2021-04-19 54.240002 54.340000 53.959999 54.150002   34318500    54.150002
## 2021-04-20 54.090000 54.200001 53.560001 53.709999   27732600    53.709999
## 2021-04-21 53.459999 54.070000 53.340000 54.040001   33407600    54.040001
## 2021-04-22 54.080002 54.189999 53.680000 53.849998   39452000    53.849998
## 2021-04-23 54.380001 54.689999 54.340000 54.630001   27062900    54.630001
## 2021-04-26 54.540001 54.750000 54.430000 54.700001   26805200    54.700001
## 2021-04-27 54.689999 54.840000 54.580002 54.669998   25563100    54.669998
## 2021-04-28 54.930000 55.340000 54.759998 55.080002   37381000    55.080002
## 2021-04-29 55.259998 55.270000 54.500000 54.950001   36617000    54.950001
## 2021-04-30 54.270000 54.369999 53.849998 53.980000   46299200    53.980000
## 2021-05-03 53.939999 54.230000 53.759998 53.980000   20628000    53.980000
## 2021-05-04 53.580002 53.660000 52.980000 53.369999   38634800    53.369999
## 2021-05-05 53.630001 53.799999 53.560001 53.619999   16731900    53.619999
## 2021-05-06 53.900002 54.160000 53.730000 54.130001   29454200    54.130001
## 2021-05-07 54.459999 54.930000 54.389999 54.689999   41588400    54.689999
## 2021-05-10 54.470001 54.490002 53.660000 53.709999   40686800    53.709999
## 2021-05-11 52.700001 53.580002 52.660000 53.560001   37374100    53.560001
## 2021-05-12 52.680000 52.910000 52.009998 52.080002   53632900    52.080002
## 2021-05-13 52.240002 52.509998 51.740002 52.009998   42935200    52.009998
## 2021-05-14 52.610001 53.040001 52.480000 52.950001   40360700    52.950001
## 2021-05-17 52.610001 52.939999 52.529999 52.900002   23169500    52.900002
## 2021-05-18 53.590000 53.880001 53.520000 53.610001   32405300    53.610001
## 2021-05-19 52.950001 53.650002 52.910000 53.450001   46284100    53.450001
## 2021-05-20 53.529999 53.869999 53.520000 53.759998   33273000    53.759998
## 2021-05-21 53.740002 53.740002 53.060001 53.139999   39110900    53.139999
## 2021-05-24 53.389999 53.709999 53.279999 53.580002   22436200    53.580002
## 2021-05-25 54.270000 54.360001 54.029999 54.110001   40993700    54.110001
## 2021-05-26 54.320000 54.570000 54.299999 54.509998   26984700    54.509998
## 2021-05-27 54.560001 54.669998 54.400002 54.520000   35598900    54.520000
## 2021-05-28 54.660000 55.000000 54.639999 54.869999   43730300    54.869999
## 2021-06-01 56.139999 56.180000 55.820000 56.000000   41656100    56.000000
## 2021-06-02 55.919998 56.130001 55.770000 56.090000   24532400    56.090000
## 2021-06-03 55.509998 55.660000 55.340000 55.490002   40790400    55.490002
## 2021-06-04 55.880001 56.029999 55.799999 55.990002   29033000    55.990002
## 2021-06-07 55.709999 55.740002 55.459999 55.709999   24830500    55.709999
## 2021-06-08 55.520000 55.549999 55.259998 55.439999   38113700    55.439999

head(datas$EEM)

##            EEM.Open EEM.High  EEM.Low EEM.Close EEM.Volume EEM.Adjusted
## 2003-04-14 8.076297 8.132662 8.076297  8.132662      93600     8.132662
## 2003-04-15 8.182586 8.253445 8.182586  8.229289     421200     8.229289
## 2003-04-16 8.317863 8.358124 8.317863  8.324305       9000     8.324305
## 2003-04-17 8.370201 8.386305 8.355707  8.383890      17100     8.383890
## 2003-04-21 8.393556 8.394361 8.374231  8.380672      72900     8.380672
## 2003-04-22 8.379865 8.408853 8.354099  8.408853      19800     8.408853

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 15.56904 32.33311 44.38 49.51762 30.25960 34.16679 85.60189
## 2004-11-19 08:00:00 15.34645 32.12376 44.78 48.99015 29.84475 33.63632 84.65029
## 2004-11-22 08:00:00 15.40635 32.21796 44.95 49.50964 30.06772 33.95809 85.05399
## 2004-11-23 08:00:00 15.43305 32.28077 44.75 49.81733 30.38926 33.90590 85.18372
## 2004-11-24 08:00:00 15.59736 32.42732 45.05 50.11702 30.80413 34.20155 85.38561
## 2004-11-26 08:00:00 15.85637 32.61573 45.29 50.14898 30.62261 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 15.78838 32.50059 45.12 50.70041 30.68224 34.01894 84.98910 50.88067
## 2004-12-31 16.53771 34.06280 43.80 51.91241 32.28005 35.04711 87.54905 52.23348
## 2005-01-31 16.45004 33.41450 42.22 49.80384 29.52892 32.83472 85.58614 54.09748
## 2005-02-28 18.04277 34.67923 43.53 50.62163 30.51410 32.67670 87.37523 53.30110
## 2005-03-31 16.61554 33.76946 42.82 49.18661 29.73922 32.10603 85.77689 53.05878
## 2005-04-29 16.40825 33.22319 43.35 46.40414 31.41172 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  0.047460462  0.048067255 -0.02925532  0.02390509  0.05207609
## 2005-01-31 -0.005300916 -0.019032610 -0.03607301 -0.04061784 -0.08522703
## 2005-02-28  0.096822179  0.037849829  0.03102790  0.01642016  0.03336316
## 2005-03-31 -0.079102646 -0.026233772 -0.01631057 -0.02834790 -0.02539400
## 2005-04-29 -0.012475670 -0.016176656  0.01237735 -0.05656974  0.05623893
## 2005-05-31  0.031607817 -0.008637582 -0.03921560  0.06464734  0.03746506
##                     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 -0.005300916 -0.019032610 -0.03607301 -0.04061784 -0.08522703
## 2005-02-28  0.096822179  0.037849829  0.03102790  0.01642016  0.03336316
## 2005-03-31 -0.079102646 -0.026233772 -0.01631057 -0.02834790 -0.02539400
## 2005-04-29 -0.012475670 -0.016176656  0.01237735 -0.05656974  0.05623893
## 2005-05-31  0.031607817 -0.008637582 -0.03921560  0.06464734  0.03746506
## 2005-06-30  0.039689831  0.014327389  0.04297712  0.04076304  0.04489765
##                     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  0.7444099
## EFA 0.006013021  0.9924507
## GLD 0.002504998  0.3016108
## IWM 0.013760812  0.4863495
## IYR 0.013104018  0.4457577
## 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  0.7444099
## EFA 0.006013021  0.9924507
## GLD 0.002504998  0.3016108
## IWM 0.013760812  0.4863495
## IYR 0.013104018  0.4457577
## 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  3.517266e-03  8.069529e-05  2.452371e-05  3.954465e-05  3.624416e-05
## EFA  8.069529e-05  2.507875e-03  3.269512e-05  5.272111e-05  4.832088e-05
## GLD  2.452371e-05  3.269512e-05  2.832805e-03  1.602221e-05  1.468496e-05
## IWM  3.954465e-05  5.272111e-05  1.602221e-05  2.752699e-03  2.367960e-05
## IYR  3.624416e-05  4.832088e-05  1.468496e-05  2.367960e-05  2.106204e-03
## QQQ -3.412966e-06 -4.550182e-06 -1.382824e-06 -2.229813e-06 -2.043707e-06
## SPY  3.142146e-05  4.189124e-05  1.273096e-05  2.052876e-05  1.881538e-05
## TLT -4.267820e-05 -5.689878e-05 -1.729183e-05 -2.788319e-05 -2.555600e-05
##               QQQ           SPY           TLT
## EEM -3.412966e-06  3.142146e-05 -4.267820e-05
## EFA -4.550182e-06  4.189124e-05 -5.689878e-05
## GLD -1.382824e-06  1.273096e-05 -1.729183e-05
## IWM -2.229813e-06  2.052876e-05 -2.788319e-05
## IYR -2.043707e-06  1.881538e-05 -2.555600e-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  0.7444099
## EFA  0.9924507
## GLD  0.3016108
## IWM  0.4863495
## IYR  0.4457577
## 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,] 0.003456738 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## [2,] 0.000000000 0.002400292 0.000000000 0.000000000 0.000000000 0.000000000
## [3,] 0.000000000 0.000000000 0.002822869 0.000000000 0.000000000 0.000000000
## [4,] 0.000000000 0.000000000 0.000000000 0.002726863 0.000000000 0.000000000
## [5,] 0.000000000 0.000000000 0.000000000 0.000000000 0.002084501 0.000000000
## [6,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.001935018
## [7,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## [8,] 0.000000000 0.000000000 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  3.517266e-03  8.069529e-05  2.452371e-05  3.954465e-05  3.624416e-05
## EFA  8.069529e-05  2.507875e-03  3.269512e-05  5.272111e-05  4.832088e-05
## GLD  2.452371e-05  3.269512e-05  2.832805e-03  1.602221e-05  1.468496e-05
## IWM  3.954465e-05  5.272111e-05  1.602221e-05  2.752699e-03  2.367960e-05
## IYR  3.624416e-05  4.832088e-05  1.468496e-05  2.367960e-05  2.106204e-03
## QQQ -3.412966e-06 -4.550182e-06 -1.382824e-06 -2.229813e-06 -2.043707e-06
## SPY  3.142146e-05  4.189124e-05  1.273096e-05  2.052876e-05  1.881538e-05
## TLT -4.267820e-05 -5.689878e-05 -1.729183e-05 -2.788319e-05 -2.555600e-05
##               QQQ           SPY           TLT
## EEM -3.412966e-06  3.142146e-05 -4.267820e-05
## EFA -4.550182e-06  4.189124e-05 -5.689878e-05
## GLD -1.382824e-06  1.273096e-05 -1.729183e-05
## IWM -2.229813e-06  2.052876e-05 -2.788319e-05
## IYR -2.043707e-06  1.881538e-05 -2.555600e-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 -0.005300916 -0.019032610 -0.03607301 -0.04061784 -0.08522703
## 2005-02-28  0.096822179  0.037849829  0.03102790  0.01642016  0.03336316
## 2005-03-31 -0.079102646 -0.026233772 -0.01631057 -0.02834790 -0.02539400
## 2005-04-29 -0.012475670 -0.016176656  0.01237735 -0.05656974  0.05623893
## 2005-05-31  0.031607817 -0.008637582 -0.03921560  0.06464734  0.03746506
## 2005-06-30  0.039689831  0.014327389  0.04297712  0.04076304  0.04489765
##                     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  0.014062128 -0.03550672 -0.005194207 0.02203091 -0.029183240
## 2020-11-30  0.089912798  0.14269437 -0.054086261 0.18244177  0.085795349
## 2020-12-31  0.071294540  0.05015398  0.070138616 0.08646447  0.025033832
## 2021-01-29  0.031739947 -0.00781250 -0.032238170 0.04845461 -0.004319949
## 2021-02-26  0.007878428  0.02237882 -0.062568814 0.06202564  0.024273001
## 2021-03-31 -0.007258515  0.02513175 -0.011433107 0.01395033  0.057740650
##                     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 15.78838 32.50059 45.12 50.70041 30.68224 34.01894 84.98910 50.88067
## 2004-12-31 16.53771 34.06280 43.80 51.91241 32.28005 35.04711 87.54905 52.23348
## 2005-01-31 16.45004 33.41450 42.22 49.80384 29.52892 32.83472 85.58614 54.09748
## 2005-02-28 18.04277 34.67923 43.53 50.62163 30.51410 32.67670 87.37523 53.30110
## 2005-03-31 16.61554 33.76946 42.82 49.18661 29.73922 32.10603 85.77689 53.05878
## 2005-04-29 16.40825 33.22319 43.35 46.40414 31.41172 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 16.45004 33.41450 42.22 49.80384 29.52892 32.83472 85.58614 54.09748
## 2005-02-28 18.04277 34.67923 43.53 50.62163 30.51410 32.67670 87.37523 53.30110
## 2005-03-31 16.61554 33.76946 42.82 49.18661 29.73922 32.10603 85.77689 53.05878
## 2005-04-29 16.40825 33.22319 43.35 46.40414 31.41172 30.71012 84.16984 55.10953
## 2005-05-31 16.92688 32.93622 41.65 49.40404 32.58857 33.43171 86.88217 56.83869
## 2005-06-30 17.59870 33.40811 43.44 51.41790 34.05172 32.32025 87.01382 58.06910

tail(prices_monthly)

##                 EEM      EFA    GLD      IWM      IYR      QQQ      SPY
## 2020-10-30 44.25250 60.79974 176.20 152.3273 76.57793 268.5534 324.0925
## 2020-11-30 48.23136 69.47553 166.67 180.1182 83.14796 298.7006 359.3463
## 2020-12-31 51.67000 72.96000 178.36 195.6920 85.22947 313.3442 372.6595
## 2021-01-29 53.31000 72.39000 172.61 205.1742 84.86128 314.1632 368.8619
## 2021-02-26 53.73000 74.01000 161.81 217.9002 86.92112 313.7437 379.1183
## 2021-03-31 53.34000 75.87000 159.96 220.9400 91.94000 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)

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

head(data_m$EEM)

##               Close
## 2005-01-31 16.45004
## 2005-02-28 18.04277
## 2005-03-31 16.61554
## 2005-04-29 16.40825
## 2005-05-31 16.92688
## 2005-06-30 17.59870

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\(weight) # compute covariance matrix based on historical 60 months returns THE COVARIANCE MATRIX IS BASED ON PEARSON APPROACH # i = 60 # To make covariance matrix estimate more stable, use the Ledoit-Wolf covariance shrinkage estimator from tawny package # 1. ia\)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,] 0.2616117 -0.1677773 0.3137614 0.16510004 0.6615165 -0.088714956
## [61,] 0.2615211 -0.1679338 0.3138808 0.16555252 0.6620160 -0.088923270
## [62,] 0.2636865 -0.1704770 0.3181141 0.16736675 0.5971548 -0.034022448
## [63,] 0.2652528 -0.1701371 0.3193620 0.16454250 0.5937604 -0.030593840
## [64,] 0.2650809 -0.2068466 0.2974624 0.19409712 0.5460341  0.071744572
## [65,] 0.2553398 -0.1981984 0.3215214 0.19772465 0.5349177  0.007460103
## [66,] 0.2522604 -0.1841202 0.3343618 0.15307812 0.5188042  0.015749559
## [67,] 0.2495516 -0.1846612 0.3336709 0.14801809 0.5174474  0.034310049
## [68,] 0.2497070 -0.1897039 0.3313450 0.15664267 0.5097205  0.047513519
## [69,] 0.2300930 -0.1490384 0.3699789 0.08562621 0.5826553 -0.030799790
## [70,] 0.2229486 -0.1502971 0.3801199 0.09595099 0.5912853 -0.054613395
##              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,] -0.3073841 0.1618867
## [61,] -0.3074339 0.1613206
## [62,] -0.3371494 0.1953267
## [63,] -0.3407348 0.1985481
## [64,] -0.3843314 0.2167589
## [65,] -0.3561321 0.2373669
## [66,] -0.3504425 0.2603086
## [67,] -0.3567762 0.2584393
## [68,] -0.3631557 0.2579308
## [69,] -0.3195639 0.2310486
## [70,] -0.2963857 0.2109914

tail(weight)

##                 EEM        EFA       GLD          IWM       IYR       QQQ
## [190,] -0.005330343 -0.2968549 0.6276900  0.097778919 0.5266706 0.4753722
## [191,]  0.075617470 -0.2650822 0.5739819 -0.001063985 0.6989092 0.3191035
## [192,]  0.064995303 -0.2922826 0.5918779  0.021415262 0.7028737 0.2955530
## [193,]  0.065231890 -0.3047748 0.6117440  0.085947207 0.6157105 0.2632559
## [194,]  0.084853697 -0.3116191 0.5998291  0.097559416 0.6804984 0.2474339
## [195,]  0.089167142 -0.2844557 0.5743366  0.054409055 0.7456327 0.2633664
##                SPY        TLT
## [190,] -0.12961833 -0.2957081
## [191,] -0.09365994 -0.3078059
## [192,] -0.07396838 -0.3104642
## [193,] -0.04001119 -0.2971036
## [194,] -0.04821387 -0.3503416
## [195,] -0.06558637 -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 0.04765992 0.2676262 0.1041355 0.1787375 0.1084677 0.05757466
## [61,] 0.1218326 0.04791119 0.2644414 0.1054289 0.1798965 0.1086348 0.05752487
## [62,] 0.1218325 0.04775344 0.2638964 0.1049114 0.1794728 0.1094000 0.05867940
## [63,] 0.1237218 0.04751796 0.2662593 0.1035676 0.1771636 0.1091638 0.05989461
## [64,] 0.1234178 0.04771381 0.2654982 0.1041415 0.1775322 0.1093053 0.05975189
## [65,] 0.1280629 0.04856272 0.2603769 0.1060045 0.1747242 0.1055293 0.06001329
## [66,] 0.1306328 0.04927645 0.2543706 0.1053584 0.1742747 0.1072127 0.06124183
## [67,] 0.1293883 0.04932464 0.2587343 0.1065576 0.1724969 0.1028499 0.06122076
## [68,] 0.1314428 0.05069700 0.2504286 0.1063038 0.1737519 0.1051221 0.06224034
## [69,] 0.1363009 0.05170052 0.2591141 0.1024412 0.1689273 0.1040239 0.06296720
## [70,] 0.1370451 0.05175306 0.2542579 0.1034500 0.1696565 0.1045664 0.06434407
##             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,] 0.1143298
## [62,] 0.1140541
## [63,] 0.1127114
## [64,] 0.1126393
## [65,] 0.1167262
## [66,] 0.1176325
## [67,] 0.1194276
## [68,] 0.1200135
## [69,] 0.1145249
## [70,] 0.1149270

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 0.06735878 0.1339534 0.1323657 0.08608004
## [192,] 0.1484053 0.1097056 0.2117118 0.06756547 0.1353521 0.1322626 0.08683120
## [193,] 0.1494196 0.1032940 0.2279407 0.06777918 0.1344382 0.1292638 0.07830025
## [194,] 0.1544169 0.1031052 0.2167006 0.06814857 0.1355520 0.1323782 0.07785499
## [195,] 0.1523652 0.1054041 0.2091621 0.06839674 0.1345490 0.1334190 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] 0.07308192

models$mvp.hist.cov$cagr

## [1] 0.07335644

names(models$mvp.capm.cov)

##  [1] "weight"      "type"        "share"       "capital"     "ret"        
##  [6] "best"        "worst"       "equity"      "cagr"        "dates.index"

#================================================================= # 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,] 0.1086652 0.03640377 0.3150998 0.09944970 0.1723140 0.10159749 0.05184217
## [61,] 0.1101950 0.03729325 0.3088586 0.10108513 0.1738394 0.10220966 0.05226910
## [62,] 0.1098933 0.03664469 0.3102011 0.10022812 0.1730759 0.10295346 0.05314700
## [63,] 0.1127870 0.03647829 0.3113929 0.09840632 0.1702868 0.10312386 0.05501919
## [64,] 0.1109484 0.03546323 0.3136309 0.09715035 0.1708139 0.10420539 0.05500166
## [65,] 0.1166917 0.03599153 0.3060270 0.09900316 0.1689317 0.10161862 0.05546990
## [66,] 0.1189824 0.03616338 0.3002915 0.09830676 0.1691139 0.10322714 0.05623056
## [67,] 0.1176566 0.03504114 0.3118497 0.09832201 0.1662331 0.09762613 0.05502611
## [68,] 0.1191976 0.03603772 0.3087696 0.09691603 0.1660069 0.09899507 0.05575273
## [69,] 0.1250913 0.03820537 0.3098745 0.09437148 0.1621198 0.09907930 0.05758788
## [70,] 0.1255868 0.03802723 0.3081155 0.09549345 0.1629684 0.09873165 0.05811356
##             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,] 0.1146278
## [61,] 0.1142499
## [62,] 0.1138564
## [63,] 0.1125057
## [64,] 0.1127862
## [65,] 0.1162664
## [66,] 0.1176843
## [67,] 0.1182452
## [68,] 0.1183244
## [69,] 0.1136703
## [70,] 0.1129634

tail(weight_3)

##              EEM        EFA       GLD        IWM       IYR       QQQ        SPY
## [190,] 0.1549355 0.08609960 0.2646421 0.06952756 0.1232350 0.1421435 0.07400826
## [191,] 0.2033578 0.08485687 0.2872285 0.04983522 0.1130077 0.1088672 0.07490923
## [192,] 0.1963121 0.08277953 0.2934710 0.04901818 0.1138194 0.1089925 0.07532946
## [193,] 0.1874175 0.08159050 0.2891819 0.05499801 0.1138827 0.1105820 0.07922781
## [194,] 0.1907257 0.07789282 0.2786010 0.05123830 0.1144900 0.1179245 0.07838962
## [195,] 0.1901016 0.07641187 0.2734975 0.04781221 0.1139058 0.1217668 0.08304037
##               TLT
## [190,] 0.08540845
## [191,] 0.07793741
## [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    

#============================================================ # 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 0.014966343  0.072995939 -0.025223755  0.015912602
## EFA 0.004450220  0.054303744 -0.010673204  0.003127630
## GLD 0.016605778  0.010404197 -0.045185831 -0.020460912
## IWM 0.002309841  0.057063128  0.009895305  0.003359857
## IYR 0.003233907  0.080047031  0.022932948 -0.031391933
## QQQ 0.004375515  0.051032639  0.007263579  0.018319614
## SPY 0.001416370  0.044316629  0.002240542  0.005419935
## TLT 0.004700261 -0.003311473 -0.006222181 -0.008303725

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)
}

Sigma_PCA3 <- Sigma
Sigma_PCA3

##               [,1]          [,2]          [,3]          [,4]         [,5]
## [1,]  0.0065734432  0.0043580221  1.695038e-03  4.001556e-03 0.0047470479
## [2,]  0.0043580221  0.0034711518  1.077380e-03  3.046584e-03 0.0040761908
## [3,]  0.0016950378  0.0010773796  3.181561e-03  5.378931e-05 0.0003616515
## [4,]  0.0040015559  0.0030465839  5.378931e-05  3.670919e-03 0.0047641857
## [5,]  0.0047470479  0.0040761908  3.616515e-04  4.764186e-03 0.0080502371
## [6,]  0.0039685117  0.0028060849 -2.517027e-04  3.115745e-03 0.0036851024
## [7,]  0.0032721384  0.0024159765  2.703238e-04  2.581182e-03 0.0034668022
## [8,] -0.0003462542 -0.0001330888  7.589744e-04 -3.343482e-04 0.0001040890
##               [,6]          [,7]          [,8]
## [1,]  0.0039685117  0.0032721384 -0.0003462542
## [2,]  0.0028060849  0.0024159765 -0.0001330888
## [3,] -0.0002517027  0.0002703238  0.0007589744
## [4,]  0.0031157451  0.0025811816 -0.0003343482
## [5,]  0.0036851024  0.0034668022  0.0001040890
## [6,]  0.0035480551  0.0024062225 -0.0006272033
## [7,]  0.0024062225  0.0021435496 -0.0002520623
## [8,] -0.0006272033 -0.0002520623  0.0016311194

#————————————————————— # 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 
## 0.150134527 0.062513707 0.049450567 0.038591274 0.025971313 0.017526524 
##      Comp.7      Comp.8 
## 0.016432927 0.009873603 
## 
##  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 0.06251371 0.04945057 0.03859127 0.02597131
## Proportion of Variance 0.7103313 0.12315450 0.07706237 0.04693297 0.02125630
## Cumulative Proportion  0.7103313 0.83348580 0.91054817 0.95748113 0.97873743
##                             Comp.6      Comp.7      Comp.8
## Standard deviation     0.017526524 0.016432927 0.009873603
## Proportion of Variance 0.009680357 0.008510002 0.003072211
## Cumulative Proportion  0.988417787 0.996927789 1.000000000

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

## 
## 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 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 -0.11592669 -0.001803903  0.02761300
## 2005-02-28  0.07721621  0.033737416  0.01355361
## 2005-03-31 -0.09900706 -0.050291505 -0.01598844
## 2005-04-29 -0.03862964 -0.010126449 -0.08036613
## 2005-05-31  0.07848787 -0.072278591  0.02690729
## 2005-06-30  0.04075992  0.021255852 -0.04627657

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  0.48657566  0.37973673  0.38732807 -0.48657566 -0.37973673  0.38732807
## EFA  0.36280444  0.16920473  0.05827520 -0.36280444 -0.16920473  0.05827520
## GLD  0.07004511  0.80237903 -0.30846840 -0.07004511 -0.80237903 -0.30846840
## IWM  0.37956153 -0.16860742  0.02343628 -0.37956153  0.16860742  0.02343628
## IYR  0.52773870 -0.31722754 -0.68555853 -0.52773870  0.31722754 -0.68555853
## QQQ  0.34334757 -0.15767234  0.39133672 -0.34334757  0.15767234  0.39133672
## SPY  0.29275269 -0.04423125  0.07649000 -0.29275269  0.04423125  0.07649000
## TLT -0.02332319  0.16576771 -0.34913223  0.02332319 -0.16576771 -0.34913223

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

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

##                  Comp.1   Comp.1.uc
## 2005-01-31 -0.115926688 -0.10147599
## 2005-02-28  0.077216208  0.09166691
## 2005-03-31 -0.099007055 -0.08455636
## 2005-04-29 -0.038629641 -0.02417894
## 2005-05-31  0.078487865  0.09293857
## 2005-06-30  0.040759916  0.05521062
## 2005-07-29  0.130743725  0.14519443
## 2005-08-31 -0.032160895 -0.01771019
## 2005-09-30  0.054630491  0.06908119
## 2005-10-31 -0.099926669 -0.08547597
## 2005-11-30  0.106634637  0.12108534
## 2005-12-30  0.025589019  0.04003972
## 2006-01-31  0.173907675  0.18835838
## 2006-02-28 -0.031880472 -0.01742977
## 2006-03-31  0.074279140  0.08872984
## 2006-04-28  0.030659624  0.04511032
## 2006-05-31 -0.156103498 -0.14165280
## 2006-06-30  0.007474961  0.02192566
## 2006-07-31 -0.003474984  0.01097572
## 2006-08-31  0.050689638  0.06514034
## 2006-09-29  0.017335635  0.03178633
## 2006-10-31  0.116232500  0.13068320
## 2006-11-30  0.081272223  0.09572292
## 2006-12-29  0.012710869  0.02716157
## 2007-01-31  0.062216749  0.07666745
## 2007-02-28 -0.062525280 -0.04807458
## 2007-03-30  0.017220283  0.03167098
## 2007-04-30  0.058347690  0.07279839
## 2007-05-31  0.055843804  0.07029450
## 2007-06-29 -0.052899921 -0.03844922
## 2007-07-31 -0.102482268 -0.08803157
## 2007-08-31  0.037922377  0.05237308
## 2007-09-28  0.126780200  0.14123090
## 2007-10-31  0.106134429  0.12058513
## 2007-11-30 -0.176069696 -0.16161900
## 2007-12-31 -0.060153880 -0.04570318
## 2008-01-31 -0.161993794 -0.14754309
## 2008-02-29 -0.062114885 -0.04766419
## 2008-03-31 -0.011021139  0.00342956
## 2008-04-30  0.136699897  0.15115060
## 2008-05-30  0.052987915  0.06743862
## 2008-06-30 -0.235908449 -0.22145775
## 2008-07-31 -0.027668703 -0.01321800
## 2008-08-29 -0.035087764 -0.02063706
## 2008-09-30 -0.241025652 -0.22657495
## 2008-10-31 -0.571653227 -0.55720253
## 2008-11-28 -0.298289945 -0.28383925
## 2008-12-31  0.175095739  0.18954644
## 2009-01-30 -0.254624548 -0.24017385
## 2009-02-27 -0.280691173 -0.26624047
## 2009-03-31  0.203340226  0.21779093
## 2009-04-30  0.390948029  0.40539873
## 2009-05-29  0.172031036  0.18648174
## 2009-06-30 -0.030613185 -0.01616249
## 2009-07-31  0.218566022  0.23301672
## 2009-08-31  0.091637024  0.10608772
## 2009-09-30  0.135478404  0.14992910
## 2009-10-30 -0.104113825 -0.08966312
## 2009-11-30  0.135695946  0.15014665
## 2009-12-31  0.090477341  0.10492804

use first 3 eigen-vectors to compue single 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

##          Comp.1      Comp.2      Comp.3
## EEM  0.48657566  0.37973673  0.38732807
## EFA  0.36280444  0.16920473  0.05827520
## GLD  0.07004511  0.80237903 -0.30846840
## IWM  0.37956153 -0.16860742  0.02343628
## IYR  0.52773870 -0.31722754 -0.68555853
## QQQ  0.34334757 -0.15767234  0.39133672
## SPY  0.29275269 -0.04423125  0.07649000
## TLT -0.02332319  0.16576771 -0.34913223

colSums(p3)

##     Comp.1     Comp.2     Comp.3 
##  2.4395025  0.8293496 -0.4062929

create factor mimicking portfolio by normalizing weights to unity

p3 = p3/colSums(p3)
p3

##          Comp.1      Comp.2      Comp.3
## EEM  0.19945692 -0.93463791  0.46702627
## EFA  0.43745655  0.06936034 -0.14343151
## GLD -0.17240053  0.96747979 -0.12644726
## IWM  0.15558973  0.41498985  0.02825863
## IYR  0.63632836 -0.13003780  1.68735058
## QQQ -0.84507406 -0.19011564  0.16041661
## SPY  0.12000508  0.10886543  0.09222890
## TLT -0.02812227  0.06795144  0.85931172

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

# create first 3 factors

f3 = X_i %*% p3
f3

##             Comp.1        Comp.2       Comp.3
##  [1,] -0.014064109 -0.0250534761 -0.121669228
##  [2,]  0.061294499 -0.0531834821  0.081131523
##  [3,] -0.032320126  0.0488905358 -0.083162789
##  [4,]  0.048692953  0.0005766083  0.112735158
##  [5,] -0.028722322 -0.0573333528  0.130153756
##  [6,]  0.069354951  0.0245119528  0.101365176
##  [7,]  0.024355076 -0.0774203713  0.133357814
##  [8,] -0.002634421  0.0048925234 -0.047446120
##  [9,]  0.012595148 -0.0083952428 -0.001311954
## [10,] -0.040658036  0.0372338175 -0.100889304
## [11,]  0.004257517  0.0152039507  0.117641158
## [12,]  0.036584471 -0.0018240577  0.030699707
## [13,]  0.066012912 -0.0129089828  0.167989307
## [14,]  0.021432198  0.0292126427  0.021037619
## [15,]  0.044294536  0.0253905894  0.060823020
## [16,] -0.003194856  0.0641968636 -0.069461475
## [17,] -0.008915721  0.0797832026 -0.118295524
## [18,]  0.037901706 -0.0521756186  0.094818690
## [19,]  0.057888986  0.0027013068  0.078652212
## [20,]  0.001742523 -0.0223865156  0.092513960
## [21,] -0.013317096 -0.0405210966  0.068087190
## [22,]  0.042047810 -0.0399066933  0.154762671
## [23,]  0.019453871  0.0140645430  0.120732687
## [24,]  0.035728405 -0.0595246286 -0.031115746
## [25,]  0.050258944  0.0161112075  0.154953790
## [26,] -0.024277450  0.0600867626 -0.054096810
## [27,]  0.008120401 -0.0521536269 -0.032904072
## [28,] -0.017434042 -0.0111700555  0.035650391
## [29,]  0.010248847 -0.0539803495  0.015293625
## [30,] -0.053910639 -0.0511819786 -0.136581003
## [31,] -0.084705344 -0.0034988040 -0.125948697
## [32,]  0.011357145 -0.0001889792  0.114716751
## [33,]  0.017608480 -0.0058973212  0.117180692
## [34,] -0.018846437 -0.0405831290  0.082307493
## [35,] -0.046061205  0.0485416659 -0.152770437
## [36,] -0.061264752  0.0778185679 -0.103295113
## [37,]  0.012328986  0.1730261290 -0.050810685
## [38,] -0.002930291  0.0305980635 -0.081513291
## [39,]  0.014598534 -0.0343279019  0.085246123
## [40,]  0.032179825 -0.1222021229  0.135234852
## [41,] -0.025339836 -0.0133226826  0.014726165
## [42,] -0.079464842  0.1190162016 -0.233805603
## [43,] -0.007999342  0.0447534810  0.020594335
## [44,] -0.009240363 -0.0205493126  0.047253713
## [45,]  0.014566570  0.1586748152 -0.098803534
## [46,] -0.234763842  0.0323864250 -0.659533321
## [47,] -0.140214010  0.2108694536 -0.320887457
## [48,]  0.123198192 -0.0083723249  0.391770316
## [49,] -0.190713673  0.0978585651 -0.423937596
## [50,] -0.172937792  0.0386455118 -0.384923231
## [51,]  0.031084179 -0.1565553444  0.191118588
## [52,]  0.203064585 -0.1630775301  0.534787817
## [53,]  0.072550162 -0.0319241339  0.060681240
## [54,] -0.039879093 -0.0248502115 -0.032201221
## [55,]  0.080863023 -0.0561850354  0.240507596
## [56,]  0.096888043  0.0136766718  0.235730342
## [57,]  0.030134229 -0.0262478220  0.172600345
## [58,] -0.041811119  0.0479133332 -0.131990388
## [59,]  0.014079419  0.0522645830  0.161474547
## [60,]  0.038440242 -0.0880335097  0.097733351

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  0.0127105611  0.01971650 -0.43370202 0.2289084
## EFA  0.0029577344  0.28410361 -0.20889994 0.1224803
## GLD  0.0122375828 -0.03473084  0.64758105 0.1867621
## IWM -0.0015251020 -0.15802592 -0.19638712 0.3051853
## IYR -0.0029152079  0.26005083  0.05303101 0.3959069
## QQQ -0.0006624141 -0.86343055 -0.37404315 0.4582627
## SPY -0.0012247206 -0.11013501 -0.18050054 0.2181806
## TLT  0.0014159788 -0.30084011  0.28766054 0.1908312

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  0.0197165  0.2841036 -0.03473084 -0.1580259 0.26005083 -0.8634305
## Factor 2 -0.4337020 -0.2088999  0.64758105 -0.1963871 0.05303101 -0.3740431
## Factor 3  0.2289084  0.1224803  0.18676208  0.3051853 0.39590689  0.4582627
##                 SPY        TLT
## Factor 1 -0.1101350 -0.3008401
## Factor 2 -0.1805005  0.2876605
## Factor 3  0.2181806  0.1908312

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

compute covariance/correlation matrices with single pc factor

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

#========================================================== # 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')
}

#