rm(list=ls())
#setInternet2(TRUE)
con = gzcon(url('https://github.com/systematicinvestor/SIT/raw/master/sit.gz', 'rb'))
source(con)
close(con)

#*****************************************************************
# Load historical data
#****************************************************************** 
load.packages('quantmod,quadprog,lpSolve')
## 
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric
## 
## Attaching package: 'TTR'
## The following object is masked _by_ '.GlobalEnv':
## 
##     DVI
## Version 0.4-0 included new data defaults. See ?getSymbols.
tickers = spl('BA,AIR.PA,LMT')


data <- new.env()
getSymbols(tickers, src = 'yahoo', from = '2010-01-01', env = data, 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.
## [1] "BA"     "AIR.PA" "LMT"
for(i in ls(data)) data[[i]] = adjustOHLC(data[[i]], use.Adjusted=T)

data.monthly <- new.env()
for(i in tickers) data.monthly[[i]] = to.monthly(data[[i]], indexAt='endof')
data.monthly
## <environment: 0x7fd6ab477da0>
bt.prep(data, align='remove.na', dates='2010::2018')
bt.prep(data.monthly, align='remove.na', dates='2010::2018')

#*****************************************************************
# Code Strategies
#****************************************************************** 
prices = data$prices   
n = ncol(prices)
n
## [1] 3
# find week ends
month.ends = endpoints(prices, 'months')
month.ends = month.ends[month.ends > 0]     


# Equal Weight 1/N Benchmark
data$weight[] = NA
data$weight[month.ends,] = ntop(prices[month.ends,], n)       

capital = 100000
data$weight[] = (capital / prices) * data$weight
equal.weight = bt.run(data, type='share')
## Latest weights :
##                     AIR.PA    BA  LMT
## 2018-12-31 08:00:00  33.19 34.21 32.6
## 
## Performance summary :
##  CAGR    Best    Worst   
##  23.4    5   -6.8    
names(equal.weight)
##  [1] "weight"      "type"        "share"       "capital"     "ret"        
##  [6] "best"        "worst"       "equity"      "cagr"        "dates.index"
equal.weight$equity
##                        AIR.PA
## 2010-01-04 08:00:00 1.0000000
## 2010-01-05 08:00:00 1.0000000
## 2010-01-06 08:00:00 1.0000000
## 2010-01-07 08:00:00 1.0000000
## 2010-01-08 08:00:00 1.0000000
## 2010-01-11 08:00:00 1.0000000
## 2010-01-12 08:00:00 1.0000000
## 2010-01-13 08:00:00 1.0000000
## 2010-01-14 08:00:00 1.0000000
## 2010-01-15 08:00:00 1.0000000
## 2010-01-19 08:00:00 1.0000000
## 2010-01-20 08:00:00 1.0000000
## 2010-01-21 08:00:00 1.0000000
## 2010-01-22 08:00:00 1.0000000
## 2010-01-25 08:00:00 1.0000000
## 2010-01-26 08:00:00 1.0000000
## 2010-01-27 08:00:00 1.0000000
## 2010-01-28 08:00:00 1.0000000
## 2010-01-29 08:00:00 1.0000000
## 2010-02-01 08:00:00 1.0094661
## 2010-02-02 08:00:00 1.0260755
## 2010-02-03 08:00:00 1.0267216
## 2010-02-04 08:00:00 1.0029807
## 2010-02-05 08:00:00 0.9931122
## 2010-02-08 08:00:00 0.9828520
## 2010-02-09 08:00:00 0.9924005
## 2010-02-10 08:00:00 0.9895373
## 2010-02-11 08:00:00 0.9993732
## 2010-02-12 08:00:00 0.9911925
## 2010-02-16 08:00:00 1.0031782
## 2010-02-17 08:00:00 1.0238800
## 2010-02-18 08:00:00 1.0383253
## 2010-02-19 08:00:00 1.0464776
## 2010-02-22 08:00:00 1.0474917
## 2010-02-23 08:00:00 1.0447750
## 2010-02-24 08:00:00 1.0443822
## 2010-02-25 08:00:00 1.0364624
## 2010-02-26 08:00:00 1.0562121
## 2010-03-01 08:00:00 1.0707536
## 2010-03-02 08:00:00 1.0766494
## 2010-03-03 08:00:00 1.0760045
## 2010-03-04 08:00:00 1.0877548
## 2010-03-05 08:00:00 1.1172784
## 2010-03-08 08:00:00 1.1108748
## 2010-03-09 08:00:00 1.1087193
## 2010-03-10 08:00:00 1.1190072
## 2010-03-11 08:00:00 1.1115056
## 2010-03-12 08:00:00 1.1063739
## 2010-03-15 08:00:00 1.1081760
## 2010-03-16 08:00:00 1.1063008
## 2010-03-17 08:00:00 1.1073493
## 2010-03-18 08:00:00 1.1251912
## 2010-03-19 08:00:00 1.1321863
## 2010-03-22 08:00:00 1.1373812
## 2010-03-23 08:00:00 1.1274736
## 2010-03-24 08:00:00 1.1350979
## 2010-03-25 08:00:00 1.1369001
## 2010-03-26 08:00:00 1.1420660
## 2010-03-29 08:00:00 1.1527004
## 2010-03-30 08:00:00 1.1362890
## 2010-03-31 08:00:00 1.1275699
## 2010-04-01 08:00:00 1.1413498
## 2010-04-06 08:00:00 1.1294228
## 2010-04-07 08:00:00 1.1226753
## 2010-04-08 08:00:00 1.1122518
## 2010-04-09 08:00:00 1.1247706
## 2010-04-12 08:00:00 1.1196152
## 2010-04-13 08:00:00 1.1078305
## 2010-04-14 08:00:00 1.1151836
## 2010-04-15 08:00:00 1.1215978
## 2010-04-16 08:00:00 1.1099184
## 2010-04-19 08:00:00 1.1113428
## 2010-04-20 08:00:00 1.1227012
## 2010-04-21 08:00:00 1.1413294
## 2010-04-22 08:00:00 1.1452032
## 2010-04-23 08:00:00 1.1477363
## 2010-04-26 08:00:00 1.1416647
## 2010-04-27 08:00:00 1.1109770
## 2010-04-28 08:00:00 1.1100878
## 2010-04-29 08:00:00 1.1307458
## 2010-04-30 08:00:00 1.1123534
## 2010-05-03 08:00:00 1.1257542
## 2010-05-04 08:00:00 1.1065134
## 2010-05-05 08:00:00 1.1009773
## 2010-05-06 08:00:00 1.0805165
## 2010-05-07 08:00:00 1.0653292
## 2010-05-10 08:00:00 1.1048986
## 2010-05-11 08:00:00 1.1178717
## 2010-05-12 08:00:00 1.1463806
## 2010-05-13 08:00:00 1.1396032
## 2010-05-14 08:00:00 1.1435464
## 2010-05-17 08:00:00 1.1366397
## 2010-05-18 08:00:00 1.1512255
## 2010-05-19 08:00:00 1.1248814
## 2010-05-20 08:00:00 1.0868792
## 2010-05-21 08:00:00 1.1057903
## 2010-05-24 08:00:00 1.0880972
## 2010-05-25 08:00:00 1.0777129
## 2010-05-26 08:00:00 1.0906041
## 2010-05-27 08:00:00 1.1136639
## 2010-05-28 08:00:00 1.1074083
## 2010-06-01 08:00:00 1.0961813
## 2010-06-02 08:00:00 1.1069713
## 2010-06-03 08:00:00 1.1120053
## 2010-06-04 08:00:00 1.0784101
## 2010-06-07 08:00:00 1.0684042
## 2010-06-08 08:00:00 1.0789592
## 2010-06-09 08:00:00 1.1073325
## 2010-06-10 08:00:00 1.1426463
## 2010-06-11 08:00:00 1.1447067
## 2010-06-14 08:00:00 1.1612258
## 2010-06-15 08:00:00 1.1830764
## 2010-06-16 08:00:00 1.1748073
## 2010-06-17 08:00:00 1.1734838
## 2010-06-18 08:00:00 1.1750468
## 2010-06-21 08:00:00 1.1709784
## 2010-06-22 08:00:00 1.1623539
## 2010-06-23 08:00:00 1.1680686
## 2010-06-24 08:00:00 1.1523255
## 2010-06-25 08:00:00 1.1575291
## 2010-06-28 08:00:00 1.1493131
## 2010-06-29 08:00:00 1.0999329
## 2010-06-30 08:00:00 1.0921647
## 2010-07-01 08:00:00 1.0786600
## 2010-07-02 08:00:00 1.0640813
## 2010-07-06 08:00:00 1.0723718
## 2010-07-07 08:00:00 1.0973207
## 2010-07-08 08:00:00 1.1127939
## 2010-07-09 08:00:00 1.1098830
## 2010-07-12 08:00:00 1.1086045
## 2010-07-13 08:00:00 1.1238850
## 2010-07-14 08:00:00 1.1199841
## 2010-07-15 08:00:00 1.1017433
## 2010-07-16 08:00:00 1.0747367
## 2010-07-19 08:00:00 1.0856626
## 2010-07-20 08:00:00 1.0787404
## 2010-07-21 08:00:00 1.0800883
## 2010-07-22 08:00:00 1.1236377
## 2010-07-23 08:00:00 1.1442386
## 2010-07-26 08:00:00 1.1527182
## 2010-07-27 08:00:00 1.1415159
## 2010-07-28 08:00:00 1.1350264
## 2010-07-29 08:00:00 1.1357266
## 2010-07-30 08:00:00 1.1548818
## 2010-08-02 08:00:00 1.1652571
## 2010-08-03 08:00:00 1.1606256
## 2010-08-04 08:00:00 1.1620171
## 2010-08-05 08:00:00 1.1703276
## 2010-08-06 08:00:00 1.1676171
## 2010-08-09 08:00:00 1.1682747
## 2010-08-10 08:00:00 1.1618721
## 2010-08-11 08:00:00 1.1255032
## 2010-08-12 08:00:00 1.1236735
## 2010-08-13 08:00:00 1.1227341
## 2010-08-16 08:00:00 1.1180376
## 2010-08-17 08:00:00 1.1364154
## 2010-08-18 08:00:00 1.1437773
## 2010-08-19 08:00:00 1.1273510
## 2010-08-20 08:00:00 1.1210759
## 2010-08-23 08:00:00 1.1233391
## 2010-08-24 08:00:00 1.1003912
## 2010-08-25 08:00:00 1.0920478
## 2010-08-26 08:00:00 1.0950942
## 2010-08-27 08:00:00 1.0973281
## 2010-08-30 08:00:00 1.0824829
## 2010-08-31 08:00:00 1.0744110
## 2010-09-01 08:00:00 1.0935280
## 2010-09-02 08:00:00 1.1122936
## 2010-09-03 08:00:00 1.1172434
## 2010-09-07 08:00:00 1.1047902
## 2010-09-08 08:00:00 1.1041601
## 2010-09-09 08:00:00 1.1132611
## 2010-09-10 08:00:00 1.1283354
## 2010-09-13 08:00:00 1.1300292
## 2010-09-14 08:00:00 1.1160356
## 2010-09-15 08:00:00 1.1119412
## 2010-09-16 08:00:00 1.1042049
## 2010-09-17 08:00:00 1.1184319
## 2010-09-20 08:00:00 1.1360351
## 2010-09-21 08:00:00 1.1495372
## 2010-09-22 08:00:00 1.1346616
## 2010-09-23 08:00:00 1.1187284
## 2010-09-24 08:00:00 1.1522139
## 2010-09-27 08:00:00 1.1443968
## 2010-09-28 08:00:00 1.1440142
## 2010-09-29 08:00:00 1.1434371
## 2010-09-30 08:00:00 1.1343531
## 2010-10-01 08:00:00 1.1226988
## 2010-10-04 08:00:00 1.1205451
## 2010-10-05 08:00:00 1.1487559
## 2010-10-06 08:00:00 1.1392797
## 2010-10-07 08:00:00 1.1330319
## 2010-10-08 08:00:00 1.1367661
## 2010-10-11 08:00:00 1.1438238
## 2010-10-12 08:00:00 1.1517027
## 2010-10-13 08:00:00 1.1652397
## 2010-10-14 08:00:00 1.1529140
## 2010-10-15 08:00:00 1.1347287
## 2010-10-18 08:00:00 1.1412004
## 2010-10-19 08:00:00 1.1370516
## 2010-10-20 08:00:00 1.1520880
## 2010-10-21 08:00:00 1.1687128
## 2010-10-22 08:00:00 1.1666174
## 2010-10-25 08:00:00 1.1599008
## 2010-10-26 08:00:00 1.1633341
## 2010-10-27 08:00:00 1.1586932
## 2010-10-28 08:00:00 1.1663628
## 2010-10-29 08:00:00 1.1698988
## 2010-11-01 08:00:00 1.1749559
## 2010-11-02 08:00:00 1.1752221
## 2010-11-03 08:00:00 1.1637402
## 2010-11-04 08:00:00 1.1640822
## 2010-11-05 08:00:00 1.1765749
## 2010-11-08 08:00:00 1.1732753
## 2010-11-09 08:00:00 1.1646183
## 2010-11-10 08:00:00 1.1602155
## 2010-11-11 08:00:00 1.1390141
## 2010-11-12 08:00:00 1.1055110
## 2010-11-15 08:00:00 1.1050583
## 2010-11-16 08:00:00 1.0793285
## 2010-11-17 08:00:00 1.0797467
## 2010-11-18 08:00:00 1.0947476
## 2010-11-19 08:00:00 1.0906142
## 2010-11-22 08:00:00 1.0815092
## 2010-11-23 08:00:00 1.0712789
## 2010-11-24 08:00:00 1.1031688
## 2010-11-26 08:00:00 1.0967792
## 2010-11-29 08:00:00 1.0901060
## 2010-11-30 08:00:00 1.0868734
## 2010-12-01 08:00:00 1.1098113
## 2010-12-02 08:00:00 1.1189829
## 2010-12-03 08:00:00 1.1137181
## 2010-12-06 08:00:00 1.1093535
## 2010-12-07 08:00:00 1.1223155
## 2010-12-08 08:00:00 1.1242711
## 2010-12-09 08:00:00 1.1068319
## 2010-12-10 08:00:00 1.1083569
## 2010-12-13 08:00:00 1.1038240
## 2010-12-14 08:00:00 1.1133662
## 2010-12-15 08:00:00 1.1065702
## 2010-12-16 08:00:00 1.1147186
## 2010-12-17 08:00:00 1.1131321
## 2010-12-20 08:00:00 1.1058293
## 2010-12-21 08:00:00 1.1154233
## 2010-12-22 08:00:00 1.1146784
## 2010-12-23 08:00:00 1.1152333
## 2010-12-27 08:00:00 1.1152609
## 2010-12-28 08:00:00 1.1141750
## 2010-12-29 08:00:00 1.1134880
## 2010-12-30 08:00:00 1.1079793
## 2011-01-03 08:00:00 1.1226361
## 2011-01-04 08:00:00 1.1310842
## 2011-01-05 08:00:00 1.1523718
## 2011-01-06 08:00:00 1.1809902
## 2011-01-07 08:00:00 1.1881600
## 2011-01-10 08:00:00 1.1865052
## 2011-01-11 08:00:00 1.2050079
## 2011-01-12 08:00:00 1.2237762
## 2011-01-13 08:00:00 1.2157535
## 2011-01-14 08:00:00 1.2300209
## 2011-01-18 08:00:00 1.2691768
## 2011-01-19 08:00:00 1.2605998
## 2011-01-20 08:00:00 1.2579518
## 2011-01-21 08:00:00 1.2570614
## 2011-01-24 08:00:00 1.2597467
## 2011-01-25 08:00:00 1.2667127
## 2011-01-26 08:00:00 1.2506522
## 2011-01-27 08:00:00 1.2748966
## 2011-01-28 08:00:00 1.2639574
## 2011-01-31 08:00:00 1.2603270
## 2011-02-01 08:00:00 1.2689532
## 2011-02-02 08:00:00 1.2730849
## 2011-02-03 08:00:00 1.2695201
## 2011-02-04 08:00:00 1.2634041
## 2011-02-07 08:00:00 1.2812826
## 2011-02-08 08:00:00 1.2916524
## 2011-02-09 08:00:00 1.2928233
## 2011-02-10 08:00:00 1.2927965
## 2011-02-11 08:00:00 1.3042452
## 2011-02-14 08:00:00 1.3002129
## 2011-02-15 08:00:00 1.3001335
## 2011-02-16 08:00:00 1.3136290
## 2011-02-17 08:00:00 1.3060617
## 2011-02-18 08:00:00 1.3080569
## 2011-02-22 08:00:00 1.2746475
## 2011-02-23 08:00:00 1.2661876
## 2011-02-24 08:00:00 1.2682364
## 2011-02-25 08:00:00 1.2788165
## 2011-02-28 08:00:00 1.2779791
## 2011-03-01 08:00:00 1.2602824
## 2011-03-02 08:00:00 1.2521516
## 2011-03-03 08:00:00 1.2609397
## 2011-03-04 08:00:00 1.2547399
## 2011-03-07 08:00:00 1.2383094
## 2011-03-08 08:00:00 1.2613666
## 2011-03-09 08:00:00 1.2672641
## 2011-03-10 08:00:00 1.2491929
## 2011-03-11 08:00:00 1.2563169
## 2011-03-14 08:00:00 1.2444891
## 2011-03-15 08:00:00 1.2228477
## 2011-03-16 08:00:00 1.2040803
## 2011-03-17 08:00:00 1.2242442
## 2011-03-18 08:00:00 1.2331792
## 2011-03-21 08:00:00 1.2559748
## 2011-03-22 08:00:00 1.2581642
## 2011-03-23 08:00:00 1.2702865
## 2011-03-24 08:00:00 1.2753886
## 2011-03-25 08:00:00 1.2766071
## 2011-03-28 08:00:00 1.2765915
## 2011-03-29 08:00:00 1.2801885
## 2011-03-30 08:00:00 1.2877320
## 2011-03-31 08:00:00 1.2874740
## 2011-04-01 08:00:00 1.3039887
## 2011-04-04 08:00:00 1.3010819
## 2011-04-05 08:00:00 1.2970206
## 2011-04-06 08:00:00 1.2985504
## 2011-04-07 08:00:00 1.3073260
## 2011-04-08 08:00:00 1.2930683
## 2011-04-11 08:00:00 1.2940738
## 2011-04-12 08:00:00 1.2847826
## 2011-04-13 08:00:00 1.2737045
## 2011-04-14 08:00:00 1.2707596
## 2011-04-15 08:00:00 1.2788218
## 2011-04-18 08:00:00 1.2622786
## 2011-04-19 08:00:00 1.2665225
## 2011-04-20 08:00:00 1.2956839
## 2011-04-21 08:00:00 1.2967756
## 2011-04-26 08:00:00 1.3082140
## 2011-04-27 08:00:00 1.3088206
## 2011-04-28 08:00:00 1.3193632
## 2011-04-29 08:00:00 1.3226069
## 2011-05-02 08:00:00 1.3158561
## 2011-05-03 08:00:00 1.3217209
## 2011-05-04 08:00:00 1.3066575
## 2011-05-05 08:00:00 1.3080315
## 2011-05-06 08:00:00 1.3251702
## 2011-05-09 08:00:00 1.3273046
## 2011-05-10 08:00:00 1.3378494
## 2011-05-11 08:00:00 1.3401307
## 2011-05-12 08:00:00 1.3469629
## 2011-05-13 08:00:00 1.3690899
## 2011-05-16 08:00:00 1.3559213
## 2011-05-17 08:00:00 1.3339198
## 2011-05-18 08:00:00 1.3436214
## 2011-05-19 08:00:00 1.3665020
## 2011-05-20 08:00:00 1.3536775
## 2011-05-23 08:00:00 1.3372481
## 2011-05-24 08:00:00 1.3332817
## 2011-05-25 08:00:00 1.3320263
## 2011-05-26 08:00:00 1.3332864
## 2011-05-27 08:00:00 1.3348425
## 2011-05-31 08:00:00 1.3539230
## 2011-06-01 08:00:00 1.3154686
## 2011-06-02 08:00:00 1.3025230
## 2011-06-03 08:00:00 1.3078367
## 2011-06-06 08:00:00 1.3115988
## 2011-06-07 08:00:00 1.3062485
## 2011-06-08 08:00:00 1.3007386
## 2011-06-09 08:00:00 1.3144537
## 2011-06-10 08:00:00 1.2931608
## 2011-06-13 08:00:00 1.3067636
## 2011-06-14 08:00:00 1.3238316
## 2011-06-15 08:00:00 1.3246374
## 2011-06-16 08:00:00 1.3262799
## 2011-06-17 08:00:00 1.3239031
## 2011-06-20 08:00:00 1.3242749
## 2011-06-21 08:00:00 1.3329087
## 2011-06-22 08:00:00 1.3203549
## 2011-06-23 08:00:00 1.3168901
## 2011-06-24 08:00:00 1.3217560
## 2011-06-27 08:00:00 1.3195179
## 2011-06-28 08:00:00 1.3307644
## 2011-06-29 08:00:00 1.3455313
## 2011-06-30 08:00:00 1.3611370
## 2011-07-01 08:00:00 1.3674512
## 2011-07-05 08:00:00 1.3717265
## 2011-07-06 08:00:00 1.3758443
## 2011-07-07 08:00:00 1.3819604
## 2011-07-08 08:00:00 1.3664402
## 2011-07-11 08:00:00 1.3513420
## 2011-07-12 08:00:00 1.3440631
## 2011-07-13 08:00:00 1.3630044
## 2011-07-14 08:00:00 1.3483608
## 2011-07-15 08:00:00 1.3426897
## 2011-07-18 08:00:00 1.3278442
## 2011-07-19 08:00:00 1.3425799
## 2011-07-20 08:00:00 1.3684886
## 2011-07-21 08:00:00 1.3854043
## 2011-07-22 08:00:00 1.3802277
## 2011-07-25 08:00:00 1.3742305
## 2011-07-26 08:00:00 1.3646813
## 2011-07-27 08:00:00 1.3457894
## 2011-07-28 08:00:00 1.3332243
## 2011-07-29 08:00:00 1.3325579
## 2011-08-01 08:00:00 1.3197296
## 2011-08-02 08:00:00 1.2908681
## 2011-08-03 08:00:00 1.2731194
## 2011-08-04 08:00:00 1.2079548
## 2011-08-05 08:00:00 1.2205749
## 2011-08-08 08:00:00 1.1377941
## 2011-08-09 08:00:00 1.1848612
## 2011-08-10 08:00:00 1.1219835
## 2011-08-11 08:00:00 1.1565342
## 2011-08-12 08:00:00 1.1891529
## 2011-08-15 08:00:00 1.2139821
## 2011-08-16 08:00:00 1.2096672
## 2011-08-17 08:00:00 1.2269665
## 2011-08-18 08:00:00 1.1645225
## 2011-08-19 08:00:00 1.1533743
## 2011-08-22 08:00:00 1.1675951
## 2011-08-23 08:00:00 1.1978374
## 2011-08-24 08:00:00 1.2204885
## 2011-08-25 08:00:00 1.2028889
## 2011-08-26 08:00:00 1.2138913
## 2011-08-29 08:00:00 1.2337944
## 2011-08-30 08:00:00 1.2501526
## 2011-08-31 08:00:00 1.2702696
## 2011-09-01 08:00:00 1.2571037
## 2011-09-02 08:00:00 1.2178930
## 2011-09-06 08:00:00 1.1985387
## 2011-09-07 08:00:00 1.2432643
## 2011-09-08 08:00:00 1.2238430
## 2011-09-09 08:00:00 1.2067609
## 2011-09-12 08:00:00 1.2144803
## 2011-09-13 08:00:00 1.2200759
## 2011-09-14 08:00:00 1.2354567
## 2011-09-15 08:00:00 1.2667685
## 2011-09-16 08:00:00 1.2779007
## 2011-09-19 08:00:00 1.2686186
## 2011-09-20 08:00:00 1.2709441
## 2011-09-21 08:00:00 1.2349189
## 2011-09-22 08:00:00 1.1888204
## 2011-09-23 08:00:00 1.1838146
## 2011-09-26 08:00:00 1.2029812
## 2011-09-27 08:00:00 1.2278666
## 2011-09-28 08:00:00 1.2173806
## 2011-09-29 08:00:00 1.2216137
## 2011-09-30 08:00:00 1.2033273
## 2011-10-03 08:00:00 1.1747828
## 2011-10-04 08:00:00 1.1685679
## 2011-10-05 08:00:00 1.1942188
## 2011-10-06 08:00:00 1.2219207
## 2011-10-07 08:00:00 1.2152930
## 2011-10-10 08:00:00 1.2550886
## 2011-10-11 08:00:00 1.2692823
## 2011-10-12 08:00:00 1.2695129
## 2011-10-13 08:00:00 1.2704567
## 2011-10-14 08:00:00 1.2777119
## 2011-10-17 08:00:00 1.2381747
## 2011-10-18 08:00:00 1.2639958
## 2011-10-19 08:00:00 1.2406343
## 2011-10-20 08:00:00 1.2119744
## 2011-10-21 08:00:00 1.2404839
## 2011-10-24 08:00:00 1.2526718
## 2011-10-25 08:00:00 1.2552396
## 2011-10-26 08:00:00 1.2469879
## 2011-10-27 08:00:00 1.2731214
## 2011-10-28 08:00:00 1.2722527
## 2011-10-31 08:00:00 1.2594498
## 2011-11-01 08:00:00 1.2266660
## 2011-11-02 08:00:00 1.2412770
## 2011-11-03 08:00:00 1.2684557
## 2011-11-04 08:00:00 1.2621572
## 2011-11-07 08:00:00 1.2726490
## 2011-11-08 08:00:00 1.2715994
## 2011-11-09 08:00:00 1.2323698
## 2011-11-10 08:00:00 1.2493756
## 2011-11-11 08:00:00 1.2953731
## 2011-11-14 08:00:00 1.2973124
## 2011-11-15 08:00:00 1.2988995
## 2011-11-16 08:00:00 1.2782010
## 2011-11-17 08:00:00 1.2567186
## 2011-11-18 08:00:00 1.2671492
## 2011-11-21 08:00:00 1.2416528
## 2011-11-22 08:00:00 1.2293516
## 2011-11-23 08:00:00 1.2061326
## 2011-11-25 08:00:00 1.2276976
## 2011-11-28 08:00:00 1.2685063
## 2011-11-29 08:00:00 1.2681824
## 2011-11-30 08:00:00 1.3150160
## 2011-12-01 08:00:00 1.3258915
## 2011-12-02 08:00:00 1.3245873
## 2011-12-05 08:00:00 1.3273423
## 2011-12-06 08:00:00 1.3222491
## 2011-12-07 08:00:00 1.3165455
## 2011-12-08 08:00:00 1.3079119
## 2011-12-09 08:00:00 1.3357447
## 2011-12-12 08:00:00 1.3188919
## 2011-12-13 08:00:00 1.3296466
## 2011-12-14 08:00:00 1.3116716
## 2011-12-15 08:00:00 1.3315280
## 2011-12-16 08:00:00 1.3329176
## 2011-12-19 08:00:00 1.3288854
## 2011-12-20 08:00:00 1.3688258
## 2011-12-21 08:00:00 1.3840128
## 2011-12-22 08:00:00 1.3943085
## 2011-12-23 08:00:00 1.3947432
## 2011-12-27 08:00:00 1.3959553
## 2011-12-28 08:00:00 1.3875761
## 2011-12-29 08:00:00 1.4057332
## 2011-12-30 08:00:00 1.3987884
## 2012-01-03 08:00:00 1.4175311
## 2012-01-04 08:00:00 1.4130875
## 2012-01-05 08:00:00 1.4094359
## 2012-01-06 08:00:00 1.4093646
## 2012-01-09 08:00:00 1.4151372
## 2012-01-10 08:00:00 1.4246531
## 2012-01-11 08:00:00 1.4266256
## 2012-01-12 08:00:00 1.4341585
## 2012-01-13 08:00:00 1.4296144
## 2012-01-17 08:00:00 1.4467307
## 2012-01-18 08:00:00 1.4507229
## 2012-01-19 08:00:00 1.4555787
## 2012-01-20 08:00:00 1.4523778
## 2012-01-23 08:00:00 1.4508346
## 2012-01-24 08:00:00 1.4544268
## 2012-01-25 08:00:00 1.4513225
## 2012-01-26 08:00:00 1.4452983
## 2012-01-27 08:00:00 1.4410594
## 2012-01-30 08:00:00 1.4340823
## 2012-01-31 08:00:00 1.4417878
## 2012-02-01 08:00:00 1.4616501
## 2012-02-02 08:00:00 1.4587285
## 2012-02-03 08:00:00 1.5038441
## 2012-02-06 08:00:00 1.4961945
## 2012-02-07 08:00:00 1.4974201
## 2012-02-08 08:00:00 1.4985211
## 2012-02-09 08:00:00 1.5105667
## 2012-02-10 08:00:00 1.4999592
## 2012-02-13 08:00:00 1.5091256
## 2012-02-14 08:00:00 1.5139141
## 2012-02-15 08:00:00 1.5036013
## 2012-02-16 08:00:00 1.4981843
## 2012-02-17 08:00:00 1.5122932
## 2012-02-21 08:00:00 1.5075541
## 2012-02-22 08:00:00 1.5156020
## 2012-02-23 08:00:00 1.5205781
## 2012-02-24 08:00:00 1.5247877
## 2012-02-27 08:00:00 1.5205128
## 2012-02-28 08:00:00 1.5223674
## 2012-02-29 08:00:00 1.5206898
## 2012-03-01 08:00:00 1.5359342
## 2012-03-02 08:00:00 1.5280256
## 2012-03-05 08:00:00 1.5205032
## 2012-03-06 08:00:00 1.4857618
## 2012-03-07 08:00:00 1.5006302
## 2012-03-08 08:00:00 1.5612564
## 2012-03-09 08:00:00 1.5642931
## 2012-03-12 08:00:00 1.5602125
## 2012-03-13 08:00:00 1.5789667
## 2012-03-14 08:00:00 1.5952737
## 2012-03-15 08:00:00 1.6007724
## 2012-03-16 08:00:00 1.5988964
## 2012-03-19 08:00:00 1.5872167
## 2012-03-20 08:00:00 1.5863349
## 2012-03-21 08:00:00 1.5919429
## 2012-03-22 08:00:00 1.5747097
## 2012-03-23 08:00:00 1.5812592
## 2012-03-26 08:00:00 1.6017744
## 2012-03-27 08:00:00 1.5994536
## 2012-03-28 08:00:00 1.5876043
## 2012-03-29 08:00:00 1.5786909
## 2012-03-30 08:00:00 1.5890356
## 2012-04-02 08:00:00 1.6066229
## 2012-04-03 08:00:00 1.6061836
## 2012-04-04 08:00:00 1.5811006
## 2012-04-05 08:00:00 1.5848445
## 2012-04-10 08:00:00 1.5323704
## 2012-04-11 08:00:00 1.5508846
## 2012-04-12 08:00:00 1.5880305
## 2012-04-13 08:00:00 1.5670411
## 2012-04-16 08:00:00 1.5746860
## 2012-04-17 08:00:00 1.5958883
## 2012-04-18 08:00:00 1.5862198
## 2012-04-19 08:00:00 1.5853211
## 2012-04-20 08:00:00 1.5869020
## 2012-04-23 08:00:00 1.5571308
## 2012-04-24 08:00:00 1.5716992
## 2012-04-25 08:00:00 1.6103674
## 2012-04-26 08:00:00 1.6112964
## 2012-04-27 08:00:00 1.6138652
## 2012-04-30 08:00:00 1.5951703
## 2012-05-02 08:00:00 1.6016259
## 2012-05-03 08:00:00 1.6020192
## 2012-05-04 08:00:00 1.5673492
## 2012-05-07 08:00:00 1.5683351
## 2012-05-08 08:00:00 1.5461074
## 2012-05-09 08:00:00 1.5390802
## 2012-05-10 08:00:00 1.5338806
## 2012-05-11 08:00:00 1.5225860
## 2012-05-14 08:00:00 1.5216916
## 2012-05-15 08:00:00 1.5197862
## 2012-05-16 08:00:00 1.5228976
## 2012-05-17 08:00:00 1.4846996
## 2012-05-18 08:00:00 1.4635192
## 2012-05-21 08:00:00 1.4891444
## 2012-05-22 08:00:00 1.4974806
## 2012-05-23 08:00:00 1.4856810
## 2012-05-24 08:00:00 1.4857040
## 2012-05-25 08:00:00 1.4595786
## 2012-05-29 08:00:00 1.4776599
## 2012-05-30 08:00:00 1.4579980
## 2012-05-31 08:00:00 1.4595301
## 2012-06-01 08:00:00 1.4250927
## 2012-06-04 08:00:00 1.4241442
## 2012-06-05 08:00:00 1.4262345
## 2012-06-06 08:00:00 1.4568085
## 2012-06-07 08:00:00 1.4856848
## 2012-06-08 08:00:00 1.4780691
## 2012-06-11 08:00:00 1.4727997
## 2012-06-12 08:00:00 1.4951311
## 2012-06-13 08:00:00 1.4838502
## 2012-06-14 08:00:00 1.4779853
## 2012-06-15 08:00:00 1.4775304
## 2012-06-18 08:00:00 1.4985456
## 2012-06-19 08:00:00 1.5096842
## 2012-06-20 08:00:00 1.5013846
## 2012-06-21 08:00:00 1.4947813
## 2012-06-22 08:00:00 1.4830917
## 2012-06-25 08:00:00 1.4799384
## 2012-06-26 08:00:00 1.4684088
## 2012-06-27 08:00:00 1.4963350
## 2012-06-28 08:00:00 1.4943997
## 2012-06-29 08:00:00 1.5505227
## 2012-07-02 08:00:00 1.5534732
## 2012-07-03 08:00:00 1.5618377
## 2012-07-05 08:00:00 1.5613807
## 2012-07-06 08:00:00 1.5473785
## 2012-07-09 08:00:00 1.5611208
## 2012-07-10 08:00:00 1.5481111
## 2012-07-11 08:00:00 1.5108919
## 2012-07-12 08:00:00 1.5049417
## 2012-07-13 08:00:00 1.5326251
## 2012-07-16 08:00:00 1.5340427
## 2012-07-17 08:00:00 1.5280438
## 2012-07-18 08:00:00 1.5461480
## 2012-07-19 08:00:00 1.5573561
## 2012-07-20 08:00:00 1.5656532
## 2012-07-23 08:00:00 1.5396595
## 2012-07-24 08:00:00 1.5482877
## 2012-07-25 08:00:00 1.5513731
## 2012-07-26 08:00:00 1.5684852
## 2012-07-27 08:00:00 1.6119566
## 2012-07-30 08:00:00 1.5991230
## 2012-07-31 08:00:00 1.5852258
## 2012-08-01 08:00:00 1.6067533
## 2012-08-02 08:00:00 1.5850652
## 2012-08-03 08:00:00 1.6131062
## 2012-08-06 08:00:00 1.6040869
## 2012-08-07 08:00:00 1.6213778
## 2012-08-08 08:00:00 1.6176262
## 2012-08-09 08:00:00 1.6198580
## 2012-08-10 08:00:00 1.6237032
## 2012-08-13 08:00:00 1.6181331
## 2012-08-14 08:00:00 1.6150622
## 2012-08-15 08:00:00 1.6162895
## 2012-08-16 08:00:00 1.6182580
## 2012-08-17 08:00:00 1.6248001
## 2012-08-20 08:00:00 1.6309344
## 2012-08-21 08:00:00 1.6368814
## 2012-08-22 08:00:00 1.6275888
## 2012-08-23 08:00:00 1.5921242
## 2012-08-24 08:00:00 1.5930757
## 2012-08-27 08:00:00 1.5946969
## 2012-08-28 08:00:00 1.5995059
## 2012-08-29 08:00:00 1.6059096
## 2012-08-30 08:00:00 1.5985306
## 2012-08-31 08:00:00 1.6064871
## 2012-09-04 08:00:00 1.5930112
## 2012-09-05 08:00:00 1.6058787
## 2012-09-06 08:00:00 1.6303338
## 2012-09-07 08:00:00 1.6225365
## 2012-09-10 08:00:00 1.5958937
## 2012-09-11 08:00:00 1.6004950
## 2012-09-12 08:00:00 1.5697331
## 2012-09-13 08:00:00 1.5281310
## 2012-09-14 08:00:00 1.5251228
## 2012-09-17 08:00:00 1.5200780
## 2012-09-18 08:00:00 1.5221741
## 2012-09-19 08:00:00 1.5189562
## 2012-09-20 08:00:00 1.5176517
## 2012-09-21 08:00:00 1.5150474
## 2012-09-24 08:00:00 1.5016657
## 2012-09-25 08:00:00 1.5029373
## 2012-09-26 08:00:00 1.4987137
## 2012-09-27 08:00:00 1.5078844
## 2012-09-28 08:00:00 1.5062728
## 2012-10-01 08:00:00 1.5146423
## 2012-10-02 08:00:00 1.5229057
## 2012-10-03 08:00:00 1.5262330
## 2012-10-04 08:00:00 1.5399952
## 2012-10-05 08:00:00 1.5578487
## 2012-10-08 08:00:00 1.5489227
## 2012-10-09 08:00:00 1.5448149
## 2012-10-10 08:00:00 1.5653118
## 2012-10-11 08:00:00 1.5626918
## 2012-10-12 08:00:00 1.5543430
## 2012-10-15 08:00:00 1.5607602
## 2012-10-16 08:00:00 1.5746168
## 2012-10-17 08:00:00 1.5839526
## 2012-10-18 08:00:00 1.5923744
## 2012-10-19 08:00:00 1.5788107
## 2012-10-22 08:00:00 1.5710437
## 2012-10-23 08:00:00 1.5463421
## 2012-10-24 08:00:00 1.5710011
## 2012-10-25 08:00:00 1.5635234
## 2012-10-26 08:00:00 1.5642372
## 2012-10-31 08:00:00 1.5697701
## 2012-11-01 08:00:00 1.5769928
## 2012-11-02 08:00:00 1.5679160
## 2012-11-05 08:00:00 1.5683220
## 2012-11-06 08:00:00 1.5886877
## 2012-11-07 08:00:00 1.5530068
## 2012-11-08 08:00:00 1.5310665
## 2012-11-09 08:00:00 1.5525677
## 2012-11-12 08:00:00 1.5509930
## 2012-11-13 08:00:00 1.5519299
## 2012-11-14 08:00:00 1.5184998
## 2012-11-15 08:00:00 1.4991625
## 2012-11-16 08:00:00 1.5035873
## 2012-11-19 08:00:00 1.5315925
## 2012-11-20 08:00:00 1.5324382
## 2012-11-21 08:00:00 1.5373136
## 2012-11-23 08:00:00 1.5393612
## 2012-11-26 08:00:00 1.5451784
## 2012-11-27 08:00:00 1.5423252
## 2012-11-28 08:00:00 1.5507049
## 2012-11-29 08:00:00 1.5630548
## 2012-11-30 08:00:00 1.5770795
## 2012-12-03 08:00:00 1.5766482
## 2012-12-04 08:00:00 1.5791058
## 2012-12-05 08:00:00 1.5914134
## 2012-12-06 08:00:00 1.6359716
## 2012-12-07 08:00:00 1.6510295
## 2012-12-10 08:00:00 1.6574605
## 2012-12-11 08:00:00 1.6512130
## 2012-12-12 08:00:00 1.6485791
## 2012-12-13 08:00:00 1.6267337
## 2012-12-14 08:00:00 1.6123096
## 2012-12-17 08:00:00 1.6288526
## 2012-12-18 08:00:00 1.6644821
## 2012-12-19 08:00:00 1.6670399
## 2012-12-20 08:00:00 1.6669733
## 2012-12-21 08:00:00 1.6728489
## 2012-12-27 08:00:00 1.6614427
## 2012-12-28 08:00:00 1.6401063
## 2013-01-02 08:00:00 1.6815394
## 2013-01-03 08:00:00 1.6886539
## 2013-01-04 08:00:00 1.7035181
## 2013-01-07 08:00:00 1.6930849
## 2013-01-08 08:00:00 1.6741592
## 2013-01-09 08:00:00 1.7218927
## 2013-01-10 08:00:00 1.7234453
## 2013-01-11 08:00:00 1.7116674
## 2013-01-14 08:00:00 1.7203419
## 2013-01-15 08:00:00 1.7237620
## 2013-01-16 08:00:00 1.7073113
## 2013-01-17 08:00:00 1.7447547
## 2013-01-18 08:00:00 1.7552143
## 2013-01-22 08:00:00 1.7643526
## 2013-01-23 08:00:00 1.7651766
## 2013-01-24 08:00:00 1.7545355
## 2013-01-25 08:00:00 1.7491252
## 2013-01-28 08:00:00 1.7408793
## 2013-01-29 08:00:00 1.7333994
## 2013-01-30 08:00:00 1.7135394
## 2013-01-31 08:00:00 1.7042477
## 2013-02-01 08:00:00 1.7238302
## 2013-02-04 08:00:00 1.7169703
## 2013-02-05 08:00:00 1.7261150
## 2013-02-06 08:00:00 1.7312434
## 2013-02-07 08:00:00 1.7468439
## 2013-02-08 08:00:00 1.7396126
## 2013-02-11 08:00:00 1.7265710
## 2013-02-12 08:00:00 1.7290934
## 2013-02-13 08:00:00 1.7255396
## 2013-02-14 08:00:00 1.7220705
## 2013-02-15 08:00:00 1.7281747
## 2013-02-19 08:00:00 1.7417883
## 2013-02-20 08:00:00 1.7475683
## 2013-02-21 08:00:00 1.7403810
## 2013-02-22 08:00:00 1.7587595
## 2013-02-25 08:00:00 1.7388286
## 2013-02-26 08:00:00 1.7287534
## 2013-02-27 08:00:00 1.7937816
## 2013-02-28 08:00:00 1.8215235
## 2013-03-01 08:00:00 1.8221326
## 2013-03-04 08:00:00 1.8279716
## 2013-03-05 08:00:00 1.8375183
## 2013-03-06 08:00:00 1.8451717
## 2013-03-07 08:00:00 1.8722939
## 2013-03-08 08:00:00 1.8821495
## 2013-03-11 08:00:00 1.9075044
## 2013-03-12 08:00:00 1.9251850
## 2013-03-13 08:00:00 1.9537752
## 2013-03-14 08:00:00 1.9566518
## 2013-03-15 08:00:00 1.9822408
## 2013-03-18 08:00:00 1.9614584
## 2013-03-19 08:00:00 1.9620043
## 2013-03-20 08:00:00 1.9513604
## 2013-03-21 08:00:00 1.9282045
## 2013-03-22 08:00:00 1.9470783
## 2013-03-25 08:00:00 1.9492872
## 2013-03-26 08:00:00 1.9646399
## 2013-03-27 08:00:00 1.9471101
## 2013-03-28 08:00:00 1.9590333
## 2013-04-02 08:00:00 1.9587049
## 2013-04-03 08:00:00 1.9484700
## 2013-04-04 08:00:00 1.9372082
## 2013-04-05 08:00:00 1.9246470
## 2013-04-08 08:00:00 1.9399202
## 2013-04-09 08:00:00 1.9273262
## 2013-04-10 08:00:00 1.9502149
## 2013-04-11 08:00:00 1.9629834
## 2013-04-12 08:00:00 1.9529846
## 2013-04-15 08:00:00 1.9226198
## 2013-04-16 08:00:00 1.9239811
## 2013-04-17 08:00:00 1.9474138
## 2013-04-18 08:00:00 1.9360525
## 2013-04-19 08:00:00 1.9772426
## 2013-04-22 08:00:00 1.9577749
## 2013-04-23 08:00:00 1.9954602
## 2013-04-24 08:00:00 2.0247320
## 2013-04-25 08:00:00 2.0307689
## 2013-04-26 08:00:00 2.0337885
## 2013-04-29 08:00:00 2.0249508
## 2013-04-30 08:00:00 2.0253743
## 2013-05-02 08:00:00 2.0462561
## 2013-05-03 08:00:00 2.0750188
## 2013-05-06 08:00:00 2.0774646
## 2013-05-07 08:00:00 2.0865970
## 2013-05-08 08:00:00 2.0861093
## 2013-05-09 08:00:00 2.0887058
## 2013-05-10 08:00:00 2.0929249
## 2013-05-13 08:00:00 2.0912259
## 2013-05-14 08:00:00 2.1287988
## 2013-05-15 08:00:00 2.1549568
## 2013-05-16 08:00:00 2.1544638
## 2013-05-17 08:00:00 2.1882554
## 2013-05-20 08:00:00 2.1855202
## 2013-05-21 08:00:00 2.1871573
## 2013-05-22 08:00:00 2.1780844
## 2013-05-23 08:00:00 2.1721202
## 2013-05-24 08:00:00 2.1876553
## 2013-05-28 08:00:00 2.2146361
## 2013-05-29 08:00:00 2.2107996
## 2013-05-30 08:00:00 2.2283136
## 2013-05-31 08:00:00 2.2225025
## 2013-06-03 08:00:00 2.2148909
## 2013-06-04 08:00:00 2.2028467
## 2013-06-05 08:00:00 2.1694400
## 2013-06-06 08:00:00 2.1756520
## 2013-06-07 08:00:00 2.2420909
## 2013-06-10 08:00:00 2.2284737
## 2013-06-11 08:00:00 2.2085874
## 2013-06-12 08:00:00 2.2207088
## 2013-06-13 08:00:00 2.2368923
## 2013-06-14 08:00:00 2.2297831
## 2013-06-17 08:00:00 2.2454181
## 2013-06-18 08:00:00 2.2598338
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## 2014-07-29 08:00:00 2.8611589
## 2014-07-30 08:00:00 2.8925719
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## 2014-08-07 08:00:00 2.7865555
## 2014-08-08 08:00:00 2.8013530
## 2014-08-11 08:00:00 2.8292136
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## 2014-08-20 08:00:00 2.9575045
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## 2014-08-22 08:00:00 2.9624640
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## 2014-08-28 08:00:00 3.0018690
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## 2014-09-29 08:00:00 3.1065010
## 2014-09-30 08:00:00 3.1308153
## 2014-10-01 08:00:00 3.0654006
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## 2014-10-03 08:00:00 3.0920802
## 2014-10-06 08:00:00 3.0903799
## 2014-10-07 08:00:00 3.0164796
## 2014-10-08 08:00:00 3.0275169
## 2014-10-09 08:00:00 2.9586226
## 2014-10-10 08:00:00 2.9434440
## 2014-10-13 08:00:00 2.9260775
## 2014-10-14 08:00:00 2.9690207
## 2014-10-15 08:00:00 2.9003738
## 2014-10-16 08:00:00 2.8786095
## 2014-10-17 08:00:00 2.9368031
## 2014-10-20 08:00:00 2.9354408
## 2014-10-21 08:00:00 2.9668231
## 2014-10-22 08:00:00 2.9470092
## 2014-10-23 08:00:00 2.9851760
## 2014-10-24 08:00:00 2.9855329
## 2014-10-27 08:00:00 2.9829823
## 2014-10-28 08:00:00 3.0234697
## 2014-10-29 08:00:00 3.0322170
## 2014-10-30 08:00:00 3.0568084
## 2014-10-31 08:00:00 3.1085534
## 2014-11-03 08:00:00 3.1177346
## 2014-11-04 08:00:00 3.1017906
## 2014-11-05 08:00:00 3.1090638
## 2014-11-06 08:00:00 3.1256178
## 2014-11-07 08:00:00 3.1006601
## 2014-11-10 08:00:00 3.1097516
## 2014-11-11 08:00:00 3.1224525
## 2014-11-12 08:00:00 3.1122873
## 2014-11-13 08:00:00 3.1328440
## 2014-11-14 08:00:00 3.1445838
## 2014-11-17 08:00:00 3.1238836
## 2014-11-18 08:00:00 3.1220518
## 2014-11-19 08:00:00 3.1325936
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## 2014-11-21 08:00:00 3.1806047
## 2014-11-24 08:00:00 3.2166042
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## 2014-12-05 08:00:00 3.2291484
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## 2014-12-09 08:00:00 3.1768786
## 2014-12-10 08:00:00 3.0107182
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## 2014-12-15 08:00:00 2.9113826
## 2014-12-16 08:00:00 2.9447106
## 2014-12-17 08:00:00 2.9495344
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## 2014-12-24 08:00:00 3.0754947
## 2014-12-29 08:00:00 3.0793679
## 2014-12-30 08:00:00 3.0616047
## 2014-12-31 08:00:00 3.0396642
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## 2015-01-09 08:00:00 3.1431269
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## 2015-01-13 08:00:00 3.1615885
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## 2015-01-15 08:00:00 3.1604165
## 2015-01-16 08:00:00 3.1807807
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## 2015-01-30 08:00:00 3.2808793
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## 2015-04-07 08:00:00 3.7163423
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## 2016-12-30 08:00:00 4.3689038
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## 2017-01-23 08:00:00 4.4935282
## 2017-01-24 08:00:00 4.4948003
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## 2018-01-02 08:00:00 6.6606831
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## 2018-01-04 08:00:00 6.7982898
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## 2018-11-15 08:00:00 7.3537576
## 2018-11-16 08:00:00 7.2539610
## 2018-11-19 08:00:00 7.0844418
## 2018-11-20 08:00:00 7.0175050
## 2018-11-21 08:00:00 7.0717312
## 2018-11-23 08:00:00 7.0519304
## 2018-11-26 08:00:00 7.0837446
## 2018-11-27 08:00:00 7.0985905
## 2018-11-28 08:00:00 7.2412789
## 2018-11-29 08:00:00 7.3602597
## 2018-11-30 08:00:00 7.3854249
## 2018-12-03 08:00:00 7.4774097
## 2018-12-04 08:00:00 7.2338132
## 2018-12-06 08:00:00 7.0089647
## 2018-12-07 08:00:00 6.9507445
## 2018-12-10 08:00:00 7.0383833
## 2018-12-11 08:00:00 6.9853791
## 2018-12-12 08:00:00 7.0962621
## 2018-12-13 08:00:00 7.0461013
## 2018-12-14 08:00:00 6.9274498
## 2018-12-17 08:00:00 6.8129055
## 2018-12-18 08:00:00 6.9255863
## 2018-12-19 08:00:00 6.7822932
## 2018-12-20 08:00:00 6.5644133
## 2018-12-21 08:00:00 6.4264658
## 2018-12-24 08:00:00 6.2216151
## 2018-12-27 08:00:00 6.5163797
## 2018-12-28 08:00:00 6.5662196
## 2018-12-31 08:00:00 6.6196246
head(equal.weight$equity)
##                     AIR.PA
## 2010-01-04 08:00:00      1
## 2010-01-05 08:00:00      1
## 2010-01-06 08:00:00      1
## 2010-01-07 08:00:00      1
## 2010-01-08 08:00:00      1
## 2010-01-11 08:00:00      1
#*****************************************************************
# 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(prices)
weight[] = NA
for( i in month.ends[month.ends >= (36 + 1)] ) {
  # one quarter is 63 days
  hist = ret[ (i- 36 +1):i, ]
  
  # create historical input assumptions
  ia = create.historical.ia(hist, 252)
  #s0 = apply(coredata(hist),2,sd)     
  #ia$cov = cor(coredata(hist), use='complete.obs',method='pearson') * (s0 %*% t(s0))
  
  weight[i,] = min.risk.portfolio(ia, constraints)
}
tail(weight,1)
##            AIR.PA         BA       LMT
## [2241,] 0.6341236 -0.1651563 0.5310327
# Minimum Variance
data$weight[] = weight      
capital = 100000
data$weight[] = (capital / prices) * data$weight
min.var.monthly = bt.run(data, type='share', capital=capital)
## Latest weights :
##                     AIR.PA     BA   LMT
## 2018-12-31 08:00:00  51.59 -14.51 62.92
## 
## Performance summary :
##  CAGR    Best    Worst   
##  22.4    4.3 -6.6