rm(list=ls())
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')
## Warning: package 'quantmod' was built under R version 3.4.4
## Warning: package 'xts' was built under R version 3.4.4
## Warning: package 'zoo' was built under R version 3.4.4
##
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
##
## as.Date, as.Date.numeric
## Warning: package 'TTR' was built under R version 3.4.4
##
## Attaching package: 'TTR'
## The following object is masked _by_ '.GlobalEnv':
##
## DVI
## Version 0.4-0 included new data defaults. See ?getSymbols.
## Warning: package 'quadprog' was built under R version 3.4.4
## Warning: package 'lpSolve' was built under R version 3.4.4
tickers = spl('AAPL,PEP,SNE')
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] "AAPL" "PEP" "SNE"
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: 0x000000003df62a10>
bt.prep(data, align='remove.na', dates='2010::2017')
bt.prep(data.monthly, align='remove.na', dates='2010::2017')
prices = data$prices
n = ncol(prices)
n
## [1] 3
month.ends = endpoints(prices, 'months')
month.ends = month.ends[month.ends > 0]
data$weight[] = NA
data$weight[month.ends,] = ntop(prices[month.ends,], n)
capital = 100000
data$weight[] = (capital / prices) * data$weight
equal.weight = bt.run(data, type='share')
## Latest weights :
## AAPL PEP SNE
## 2017-12-29 08:00:00 33.32 34.29 32.39
##
## Performance summary :
## CAGR Best Worst
## 18.1 7.2 -4.8
names(equal.weight)
## [1] "weight" "type" "share" "capital" "ret"
## [6] "best" "worst" "equity" "cagr" "dates.index"
equal.weight$equity
## AAPL
## 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 1.0205027
## 2010-02-02 08:00:00 1.0370172
## 2010-02-03 08:00:00 1.0389341
## 2010-02-04 08:00:00 1.0126333
## 2010-02-05 08:00:00 1.0156179
## 2010-02-08 08:00:00 0.9976784
## 2010-02-09 08:00:00 1.0149888
## 2010-02-10 08:00:00 1.0153781
## 2010-02-11 08:00:00 1.0285758
## 2010-02-12 08:00:00 1.0300340
## 2010-02-16 08:00:00 1.0390608
## 2010-02-17 08:00:00 1.0442652
## 2010-02-18 08:00:00 1.0499814
## 2010-02-19 08:00:00 1.0457127
## 2010-02-22 08:00:00 1.0456565
## 2010-02-23 08:00:00 1.0345973
## 2010-02-24 08:00:00 1.0424224
## 2010-02-25 08:00:00 1.0399592
## 2010-02-26 08:00:00 1.0465604
## 2010-03-01 08:00:00 1.0664285
## 2010-03-02 08:00:00 1.0687676
## 2010-03-03 08:00:00 1.0797766
## 2010-03-04 08:00:00 1.0781560
## 2010-03-05 08:00:00 1.1069619
## 2010-03-08 08:00:00 1.1101394
## 2010-03-09 08:00:00 1.1221288
## 2010-03-10 08:00:00 1.1307389
## 2010-03-11 08:00:00 1.1402192
## 2010-03-12 08:00:00 1.1343371
## 2010-03-15 08:00:00 1.1382981
## 2010-03-16 08:00:00 1.1384791
## 2010-03-17 08:00:00 1.1430809
## 2010-03-18 08:00:00 1.1494304
## 2010-03-19 08:00:00 1.1484273
## 2010-03-22 08:00:00 1.1533290
## 2010-03-23 08:00:00 1.1789406
## 2010-03-24 08:00:00 1.1594926
## 2010-03-25 08:00:00 1.1458498
## 2010-03-26 08:00:00 1.1604598
## 2010-03-29 08:00:00 1.1649307
## 2010-03-30 08:00:00 1.1762751
## 2010-03-31 08:00:00 1.1660580
## 2010-04-01 08:00:00 1.1717315
## 2010-04-05 08:00:00 1.1733086
## 2010-04-06 08:00:00 1.1657896
## 2010-04-07 08:00:00 1.1596139
## 2010-04-08 08:00:00 1.1582185
## 2010-04-09 08:00:00 1.1631473
## 2010-04-12 08:00:00 1.1610006
## 2010-04-13 08:00:00 1.1622521
## 2010-04-14 08:00:00 1.1711139
## 2010-04-15 08:00:00 1.1731943
## 2010-04-16 08:00:00 1.1584546
## 2010-04-19 08:00:00 1.1633700
## 2010-04-20 08:00:00 1.1535129
## 2010-04-21 08:00:00 1.1763548
## 2010-04-22 08:00:00 1.1775272
## 2010-04-23 08:00:00 1.1829232
## 2010-04-26 08:00:00 1.1834576
## 2010-04-27 08:00:00 1.1683036
## 2010-04-28 08:00:00 1.1650520
## 2010-04-29 08:00:00 1.1858314
## 2010-04-30 08:00:00 1.1621009
## 2010-05-03 08:00:00 1.1774508
## 2010-05-04 08:00:00 1.1513958
## 2010-05-05 08:00:00 1.1437749
## 2010-05-06 08:00:00 1.1254487
## 2010-05-07 08:00:00 1.1058655
## 2010-05-10 08:00:00 1.1596536
## 2010-05-11 08:00:00 1.1558621
## 2010-05-12 08:00:00 1.1627067
## 2010-05-13 08:00:00 1.1350837
## 2010-05-14 08:00:00 1.1220640
## 2010-05-17 08:00:00 1.1208098
## 2010-05-18 08:00:00 1.1139137
## 2010-05-19 08:00:00 1.1198681
## 2010-05-20 08:00:00 1.0792241
## 2010-05-21 08:00:00 1.1023252
## 2010-05-24 08:00:00 1.0972936
## 2010-05-25 08:00:00 1.0871346
## 2010-05-26 08:00:00 1.0698551
## 2010-05-27 08:00:00 1.1077458
## 2010-05-28 08:00:00 1.1030756
## 2010-06-01 08:00:00 1.1013991
## 2010-06-02 08:00:00 1.1118616
## 2010-06-03 08:00:00 1.1089488
## 2010-06-04 08:00:00 1.0776530
## 2010-06-07 08:00:00 1.0608277
## 2010-06-08 08:00:00 1.0678855
## 2010-06-09 08:00:00 1.0531514
## 2010-06-10 08:00:00 1.0718073
## 2010-06-11 08:00:00 1.0789911
## 2010-06-14 08:00:00 1.0794128
## 2010-06-15 08:00:00 1.0953077
## 2010-06-16 08:00:00 1.0974949
## 2010-06-17 08:00:00 1.1065695
## 2010-06-18 08:00:00 1.1034802
## 2010-06-21 08:00:00 1.1031589
## 2010-06-22 08:00:00 1.0941499
## 2010-06-23 08:00:00 1.0888195
## 2010-06-24 08:00:00 1.0798744
## 2010-06-25 08:00:00 1.0662622
## 2010-06-28 08:00:00 1.0735327
## 2010-06-29 08:00:00 1.0480464
## 2010-06-30 08:00:00 1.0378439
## 2010-07-01 08:00:00 1.0324757
## 2010-07-02 08:00:00 1.0306736
## 2010-07-06 08:00:00 1.0403651
## 2010-07-07 08:00:00 1.0637002
## 2010-07-08 08:00:00 1.0784411
## 2010-07-09 08:00:00 1.0787449
## 2010-07-12 08:00:00 1.0853306
## 2010-07-13 08:00:00 1.0853563
## 2010-07-14 08:00:00 1.0854282
## 2010-07-15 08:00:00 1.0762109
## 2010-07-16 08:00:00 1.0465795
## 2010-07-19 08:00:00 1.0419982
## 2010-07-20 08:00:00 1.0652401
## 2010-07-21 08:00:00 1.0583397
## 2010-07-22 08:00:00 1.0860989
## 2010-07-23 08:00:00 1.0985810
## 2010-07-26 08:00:00 1.0995147
## 2010-07-27 08:00:00 1.1214271
## 2010-07-28 08:00:00 1.1122801
## 2010-07-29 08:00:00 1.1369424
## 2010-07-30 08:00:00 1.1270560
## 2010-08-02 08:00:00 1.1468078
## 2010-08-03 08:00:00 1.1411544
## 2010-08-04 08:00:00 1.1424760
## 2010-08-05 08:00:00 1.1380343
## 2010-08-06 08:00:00 1.1423485
## 2010-08-09 08:00:00 1.1481433
## 2010-08-10 08:00:00 1.1381427
## 2010-08-11 08:00:00 1.1027834
## 2010-08-12 08:00:00 1.1022337
## 2010-08-13 08:00:00 1.1043553
## 2010-08-16 08:00:00 1.0965370
## 2010-08-17 08:00:00 1.1087295
## 2010-08-18 08:00:00 1.1083573
## 2010-08-19 08:00:00 1.0992026
## 2010-08-20 08:00:00 1.0947286
## 2010-08-23 08:00:00 1.0823773
## 2010-08-24 08:00:00 1.0631041
## 2010-08-25 08:00:00 1.0689791
## 2010-08-26 08:00:00 1.0591313
## 2010-08-27 08:00:00 1.0714992
## 2010-08-30 08:00:00 1.0650817
## 2010-08-31 08:00:00 1.0632982
## 2010-09-01 08:00:00 1.0922370
## 2010-09-02 08:00:00 1.0971376
## 2010-09-03 08:00:00 1.1209887
## 2010-09-07 08:00:00 1.1140233
## 2010-09-08 08:00:00 1.1196756
## 2010-09-09 08:00:00 1.1295061
## 2010-09-10 08:00:00 1.1355384
## 2010-09-13 08:00:00 1.1422131
## 2010-09-14 08:00:00 1.1390211
## 2010-09-15 08:00:00 1.1553421
## 2010-09-16 08:00:00 1.1687623
## 2010-09-17 08:00:00 1.1636329
## 2010-09-20 08:00:00 1.1871331
## 2010-09-21 08:00:00 1.1782922
## 2010-09-22 08:00:00 1.1766054
## 2010-09-23 08:00:00 1.1706490
## 2010-09-24 08:00:00 1.1894147
## 2010-09-27 08:00:00 1.1896605
## 2010-09-28 08:00:00 1.1845429
## 2010-09-29 08:00:00 1.1937810
## 2010-09-30 08:00:00 1.1800138
## 2010-10-01 08:00:00 1.1767900
## 2010-10-04 08:00:00 1.1698786
## 2010-10-05 08:00:00 1.2020196
## 2010-10-06 08:00:00 1.2046924
## 2010-10-07 08:00:00 1.1927074
## 2010-10-08 08:00:00 1.2072808
## 2010-10-11 08:00:00 1.2074531
## 2010-10-12 08:00:00 1.2107241
## 2010-10-13 08:00:00 1.2155998
## 2010-10-14 08:00:00 1.2234633
## 2010-10-15 08:00:00 1.2397858
## 2010-10-18 08:00:00 1.2536707
## 2010-10-19 08:00:00 1.2344033
## 2010-10-20 08:00:00 1.2375652
## 2010-10-21 08:00:00 1.2398254
## 2010-10-22 08:00:00 1.2363590
## 2010-10-25 08:00:00 1.2401486
## 2010-10-26 08:00:00 1.2419666
## 2010-10-27 08:00:00 1.2378199
## 2010-10-28 08:00:00 1.2382291
## 2010-10-29 08:00:00 1.2342950
## 2010-11-01 08:00:00 1.2263841
## 2010-11-02 08:00:00 1.2351617
## 2010-11-03 08:00:00 1.2379074
## 2010-11-04 08:00:00 1.2505854
## 2010-11-05 08:00:00 1.2496359
## 2010-11-08 08:00:00 1.2551443
## 2010-11-09 08:00:00 1.2484924
## 2010-11-10 08:00:00 1.2538824
## 2010-11-11 08:00:00 1.2468730
## 2010-11-12 08:00:00 1.2289530
## 2010-11-15 08:00:00 1.2346025
## 2010-11-16 08:00:00 1.2251230
## 2010-11-17 08:00:00 1.2327296
## 2010-11-18 08:00:00 1.2602278
## 2010-11-19 08:00:00 1.2574043
## 2010-11-22 08:00:00 1.2660396
## 2010-11-23 08:00:00 1.2434214
## 2010-11-24 08:00:00 1.2611784
## 2010-11-26 08:00:00 1.2536360
## 2010-11-29 08:00:00 1.2619918
## 2010-11-30 08:00:00 1.2639149
## 2010-12-01 08:00:00 1.2924992
## 2010-12-02 08:00:00 1.2931135
## 2010-12-03 08:00:00 1.2891050
## 2010-12-06 08:00:00 1.2928534
## 2010-12-07 08:00:00 1.2843171
## 2010-12-08 08:00:00 1.2908674
## 2010-12-09 08:00:00 1.2878663
## 2010-12-10 08:00:00 1.2857382
## 2010-12-13 08:00:00 1.2919721
## 2010-12-14 08:00:00 1.2875291
## 2010-12-15 08:00:00 1.2855626
## 2010-12-16 08:00:00 1.2894049
## 2010-12-17 08:00:00 1.2876082
## 2010-12-20 08:00:00 1.2896326
## 2010-12-21 08:00:00 1.2988189
## 2010-12-22 08:00:00 1.2929329
## 2010-12-23 08:00:00 1.2919552
## 2010-12-27 08:00:00 1.2921193
## 2010-12-28 08:00:00 1.2950006
## 2010-12-29 08:00:00 1.2954416
## 2010-12-30 08:00:00 1.2882930
## 2010-12-31 08:00:00 1.2898454
## 2011-01-03 08:00:00 1.3100199
## 2011-01-04 08:00:00 1.3074261
## 2011-01-05 08:00:00 1.3194059
## 2011-01-06 08:00:00 1.3182834
## 2011-01-07 08:00:00 1.3188688
## 2011-01-10 08:00:00 1.3265134
## 2011-01-11 08:00:00 1.3296847
## 2011-01-12 08:00:00 1.3365040
## 2011-01-13 08:00:00 1.3299772
## 2011-01-14 08:00:00 1.3359840
## 2011-01-18 08:00:00 1.3240449
## 2011-01-19 08:00:00 1.3180657
## 2011-01-20 08:00:00 1.3037145
## 2011-01-21 08:00:00 1.2810044
## 2011-01-24 08:00:00 1.3049323
## 2011-01-25 08:00:00 1.3111107
## 2011-01-26 08:00:00 1.3123200
## 2011-01-27 08:00:00 1.3147902
## 2011-01-28 08:00:00 1.2905753
## 2011-01-31 08:00:00 1.2889774
## 2011-02-01 08:00:00 1.3061564
## 2011-02-02 08:00:00 1.3032104
## 2011-02-03 08:00:00 1.3198509
## 2011-02-04 08:00:00 1.3110693
## 2011-02-07 08:00:00 1.3085549
## 2011-02-08 08:00:00 1.3194109
## 2011-02-09 08:00:00 1.3224516
## 2011-02-10 08:00:00 1.3080332
## 2011-02-11 08:00:00 1.3152415
## 2011-02-14 08:00:00 1.3159022
## 2011-02-15 08:00:00 1.3194328
## 2011-02-16 08:00:00 1.3353058
## 2011-02-17 08:00:00 1.3406399
## 2011-02-18 08:00:00 1.3230966
## 2011-02-22 08:00:00 1.3031000
## 2011-02-23 08:00:00 1.3025790
## 2011-02-24 08:00:00 1.3024501
## 2011-02-25 08:00:00 1.3222031
## 2011-02-28 08:00:00 1.3318992
## 2011-03-01 08:00:00 1.3186577
## 2011-03-02 08:00:00 1.3227068
## 2011-03-03 08:00:00 1.3398212
## 2011-03-04 08:00:00 1.3329641
## 2011-03-07 08:00:00 1.3181053
## 2011-03-08 08:00:00 1.3227934
## 2011-03-09 08:00:00 1.3207478
## 2011-03-10 08:00:00 1.3031080
## 2011-03-11 08:00:00 1.3015855
## 2011-03-14 08:00:00 1.2714001
## 2011-03-15 08:00:00 1.2510410
## 2011-03-16 08:00:00 1.2144287
## 2011-03-17 08:00:00 1.2439978
## 2011-03-18 08:00:00 1.2418234
## 2011-03-21 08:00:00 1.2693425
## 2011-03-22 08:00:00 1.2689147
## 2011-03-23 08:00:00 1.2666557
## 2011-03-24 08:00:00 1.2766927
## 2011-03-25 08:00:00 1.2813502
## 2011-03-28 08:00:00 1.2780884
## 2011-03-29 08:00:00 1.2806246
## 2011-03-30 08:00:00 1.2884602
## 2011-03-31 08:00:00 1.2783386
## 2011-04-01 08:00:00 1.2794032
## 2011-04-04 08:00:00 1.2688001
## 2011-04-05 08:00:00 1.2646780
## 2011-04-06 08:00:00 1.2574005
## 2011-04-07 08:00:00 1.2554951
## 2011-04-08 08:00:00 1.2538924
## 2011-04-11 08:00:00 1.2461831
## 2011-04-12 08:00:00 1.2429438
## 2011-04-13 08:00:00 1.2492541
## 2011-04-14 08:00:00 1.2451672
## 2011-04-15 08:00:00 1.2418150
## 2011-04-18 08:00:00 1.2415569
## 2011-04-19 08:00:00 1.2528139
## 2011-04-20 08:00:00 1.2675737
## 2011-04-21 08:00:00 1.2830582
## 2011-04-25 08:00:00 1.2778799
## 2011-04-26 08:00:00 1.2751958
## 2011-04-27 08:00:00 1.2661469
## 2011-04-28 08:00:00 1.2652638
## 2011-04-29 08:00:00 1.2628345
## 2011-05-02 08:00:00 1.2680583
## 2011-05-03 08:00:00 1.2667245
## 2011-05-04 08:00:00 1.2689460
## 2011-05-05 08:00:00 1.2534975
## 2011-05-06 08:00:00 1.2572673
## 2011-05-09 08:00:00 1.2709772
## 2011-05-10 08:00:00 1.2790937
## 2011-05-11 08:00:00 1.2672039
## 2011-05-12 08:00:00 1.2700135
## 2011-05-13 08:00:00 1.2506069
## 2011-05-16 08:00:00 1.2464970
## 2011-05-17 08:00:00 1.2560115
## 2011-05-18 08:00:00 1.2574589
## 2011-05-19 08:00:00 1.2527447
## 2011-05-20 08:00:00 1.2409000
## 2011-05-23 08:00:00 1.2314857
## 2011-05-24 08:00:00 1.2479406
## 2011-05-25 08:00:00 1.2465030
## 2011-05-26 08:00:00 1.2376373
## 2011-05-27 08:00:00 1.2350599
## 2011-05-31 08:00:00 1.2503510
## 2011-06-01 08:00:00 1.2419709
## 2011-06-02 08:00:00 1.2386971
## 2011-06-03 08:00:00 1.2298282
## 2011-06-06 08:00:00 1.2132219
## 2011-06-07 08:00:00 1.1986311
## 2011-06-08 08:00:00 1.1980277
## 2011-06-09 08:00:00 1.2066953
## 2011-06-10 08:00:00 1.1858047
## 2011-06-13 08:00:00 1.1900745
## 2011-06-14 08:00:00 1.2017974
## 2011-06-15 08:00:00 1.1835573
## 2011-06-16 08:00:00 1.1828253
## 2011-06-17 08:00:00 1.1778209
## 2011-06-20 08:00:00 1.1634611
## 2011-06-21 08:00:00 1.1780858
## 2011-06-22 08:00:00 1.1813027
## 2011-06-23 08:00:00 1.1923644
## 2011-06-24 08:00:00 1.1945909
## 2011-06-27 08:00:00 1.1991836
## 2011-06-28 08:00:00 1.2089006
## 2011-06-29 08:00:00 1.2122513
## 2011-06-30 08:00:00 1.2292922
## 2011-07-01 08:00:00 1.2399561
## 2011-07-05 08:00:00 1.2476841
## 2011-07-06 08:00:00 1.2558058
## 2011-07-07 08:00:00 1.2700727
## 2011-07-08 08:00:00 1.2667542
## 2011-07-11 08:00:00 1.2523918
## 2011-07-12 08:00:00 1.2466727
## 2011-07-13 08:00:00 1.2580192
## 2011-07-14 08:00:00 1.2509027
## 2011-07-15 08:00:00 1.2638818
## 2011-07-18 08:00:00 1.2663592
## 2011-07-19 08:00:00 1.2726030
## 2011-07-20 08:00:00 1.2856674
## 2011-07-21 08:00:00 1.2738880
## 2011-07-22 08:00:00 1.2793050
## 2011-07-25 08:00:00 1.2694914
## 2011-07-26 08:00:00 1.2751375
## 2011-07-27 08:00:00 1.2482855
## 2011-07-28 08:00:00 1.2394459
## 2011-07-29 08:00:00 1.2389933
## 2011-08-01 08:00:00 1.2439704
## 2011-08-02 08:00:00 1.2322802
## 2011-08-03 08:00:00 1.2420669
## 2011-08-04 08:00:00 1.1918827
## 2011-08-05 08:00:00 1.1929738
## 2011-08-08 08:00:00 1.1362360
## 2011-08-09 08:00:00 1.1744761
## 2011-08-10 08:00:00 1.1244714
## 2011-08-11 08:00:00 1.1592371
## 2011-08-12 08:00:00 1.1597797
## 2011-08-15 08:00:00 1.1835649
## 2011-08-16 08:00:00 1.1749451
## 2011-08-17 08:00:00 1.1794617
## 2011-08-18 08:00:00 1.1344652
## 2011-08-19 08:00:00 1.1146569
## 2011-08-22 08:00:00 1.1167558
## 2011-08-23 08:00:00 1.1500667
## 2011-08-24 08:00:00 1.1445064
## 2011-08-25 08:00:00 1.1365317
## 2011-08-26 08:00:00 1.1534576
## 2011-08-29 08:00:00 1.1821320
## 2011-08-30 08:00:00 1.1907274
## 2011-08-31 08:00:00 1.1870454
## 2011-09-01 08:00:00 1.1779937
## 2011-09-02 08:00:00 1.1470295
## 2011-09-06 08:00:00 1.1319769
## 2011-09-07 08:00:00 1.1418234
## 2011-09-08 08:00:00 1.1340105
## 2011-09-09 08:00:00 1.1103995
## 2011-09-12 08:00:00 1.1115067
## 2011-09-13 08:00:00 1.1194963
## 2011-09-14 08:00:00 1.1368242
## 2011-09-15 08:00:00 1.1533630
## 2011-09-16 08:00:00 1.1624028
## 2011-09-19 08:00:00 1.1587474
## 2011-09-20 08:00:00 1.1530852
## 2011-09-21 08:00:00 1.1428380
## 2011-09-22 08:00:00 1.1236516
## 2011-09-23 08:00:00 1.1291291
## 2011-09-26 08:00:00 1.1369453
## 2011-09-27 08:00:00 1.1433466
## 2011-09-28 08:00:00 1.1403897
## 2011-09-29 08:00:00 1.1446049
## 2011-09-30 08:00:00 1.1176463
## 2011-10-03 08:00:00 1.0839399
## 2011-10-04 08:00:00 1.0967728
## 2011-10-05 08:00:00 1.1006431
## 2011-10-06 08:00:00 1.1081352
## 2011-10-07 08:00:00 1.0863888
## 2011-10-10 08:00:00 1.1247832
## 2011-10-11 08:00:00 1.1418346
## 2011-10-12 08:00:00 1.1612824
## 2011-10-13 08:00:00 1.1708226
## 2011-10-14 08:00:00 1.1823779
## 2011-10-17 08:00:00 1.1822292
## 2011-10-18 08:00:00 1.1957922
## 2011-10-19 08:00:00 1.1601257
## 2011-10-20 08:00:00 1.1567560
## 2011-10-21 08:00:00 1.1647469
## 2011-10-24 08:00:00 1.1697962
## 2011-10-25 08:00:00 1.1569618
## 2011-10-26 08:00:00 1.1687134
## 2011-10-27 08:00:00 1.2063767
## 2011-10-28 08:00:00 1.2148313
## 2011-10-31 08:00:00 1.1855134
## 2011-11-01 08:00:00 1.1491757
## 2011-11-02 08:00:00 1.1289478
## 2011-11-03 08:00:00 1.1327756
## 2011-11-04 08:00:00 1.1175787
## 2011-11-07 08:00:00 1.1216015
## 2011-11-08 08:00:00 1.1256184
## 2011-11-09 08:00:00 1.1009889
## 2011-11-10 08:00:00 1.0937405
## 2011-11-11 08:00:00 1.1032667
## 2011-11-14 08:00:00 1.0944551
## 2011-11-15 08:00:00 1.1127738
## 2011-11-16 08:00:00 1.1021495
## 2011-11-17 08:00:00 1.0873677
## 2011-11-18 08:00:00 1.0857736
## 2011-11-21 08:00:00 1.0634669
## 2011-11-22 08:00:00 1.0764421
## 2011-11-23 08:00:00 1.0565981
## 2011-11-25 08:00:00 1.0668272
## 2011-11-28 08:00:00 1.0927711
## 2011-11-29 08:00:00 1.0950684
## 2011-11-30 08:00:00 1.1183113
## 2011-12-01 08:00:00 1.1231851
## 2011-12-02 08:00:00 1.1214747
## 2011-12-05 08:00:00 1.1276736
## 2011-12-06 08:00:00 1.1229901
## 2011-12-07 08:00:00 1.1402447
## 2011-12-08 08:00:00 1.1303433
## 2011-12-09 08:00:00 1.1411309
## 2011-12-12 08:00:00 1.1278403
## 2011-12-13 08:00:00 1.1152370
## 2011-12-14 08:00:00 1.0966151
## 2011-12-15 08:00:00 1.1023219
## 2011-12-16 08:00:00 1.1060132
## 2011-12-19 08:00:00 1.0928022
## 2011-12-20 08:00:00 1.1253510
## 2011-12-21 08:00:00 1.1321136
## 2011-12-22 08:00:00 1.1401507
## 2011-12-23 08:00:00 1.1518239
## 2011-12-27 08:00:00 1.1503276
## 2011-12-28 08:00:00 1.1293394
## 2011-12-29 08:00:00 1.1478189
## 2011-12-30 08:00:00 1.1540300
## 2012-01-03 08:00:00 1.1674872
## 2012-01-04 08:00:00 1.1681458
## 2012-01-05 08:00:00 1.1584022
## 2012-01-06 08:00:00 1.1521970
## 2012-01-09 08:00:00 1.1541713
## 2012-01-10 08:00:00 1.1601040
## 2012-01-11 08:00:00 1.1554671
## 2012-01-12 08:00:00 1.1429350
## 2012-01-13 08:00:00 1.1373869
## 2012-01-17 08:00:00 1.1358045
## 2012-01-18 08:00:00 1.1486159
## 2012-01-19 08:00:00 1.1562418
## 2012-01-20 08:00:00 1.1641049
## 2012-01-23 08:00:00 1.1843145
## 2012-01-24 08:00:00 1.1658779
## 2012-01-25 08:00:00 1.2088492
## 2012-01-26 08:00:00 1.2026789
## 2012-01-27 08:00:00 1.1991606
## 2012-01-30 08:00:00 1.1956737
## 2012-01-31 08:00:00 1.2028223
## 2012-02-01 08:00:00 1.2062425
## 2012-02-02 08:00:00 1.1812186
## 2012-02-03 08:00:00 1.2334628
## 2012-02-06 08:00:00 1.2414374
## 2012-02-07 08:00:00 1.2524527
## 2012-02-08 08:00:00 1.2638468
## 2012-02-09 08:00:00 1.2636902
## 2012-02-10 08:00:00 1.2535940
## 2012-02-13 08:00:00 1.2589694
## 2012-02-14 08:00:00 1.2562549
## 2012-02-15 08:00:00 1.2620766
## 2012-02-16 08:00:00 1.2752114
## 2012-02-17 08:00:00 1.2770275
## 2012-02-21 08:00:00 1.2923376
## 2012-02-22 08:00:00 1.2953447
## 2012-02-23 08:00:00 1.3052921
## 2012-02-24 08:00:00 1.3235616
## 2012-02-27 08:00:00 1.3256849
## 2012-02-28 08:00:00 1.3467040
## 2012-02-29 08:00:00 1.3345647
## 2012-03-01 08:00:00 1.3372165
## 2012-03-02 08:00:00 1.3334271
## 2012-03-05 08:00:00 1.3121676
## 2012-03-06 08:00:00 1.2984897
## 2012-03-07 08:00:00 1.3024933
## 2012-03-08 08:00:00 1.3140929
## 2012-03-09 08:00:00 1.3355842
## 2012-03-12 08:00:00 1.3382421
## 2012-03-13 08:00:00 1.3603042
## 2012-03-14 08:00:00 1.3852996
## 2012-03-15 08:00:00 1.3861081
## 2012-03-16 08:00:00 1.3894843
## 2012-03-19 08:00:00 1.4007306
## 2012-03-20 08:00:00 1.4029884
## 2012-03-21 08:00:00 1.3869900
## 2012-03-22 08:00:00 1.3810750
## 2012-03-23 08:00:00 1.3729575
## 2012-03-26 08:00:00 1.3911369
## 2012-03-27 08:00:00 1.4066262
## 2012-03-28 08:00:00 1.4161954
## 2012-03-29 08:00:00 1.4062677
## 2012-03-30 08:00:00 1.3967853
## 2012-04-02 08:00:00 1.4152357
## 2012-04-03 08:00:00 1.4153250
## 2012-04-04 08:00:00 1.3924056
## 2012-04-05 08:00:00 1.4048496
## 2012-04-09 08:00:00 1.4032336
## 2012-04-10 08:00:00 1.3519803
## 2012-04-11 08:00:00 1.3637785
## 2012-04-12 08:00:00 1.3622805
## 2012-04-13 08:00:00 1.3157029
## 2012-04-16 08:00:00 1.3060995
## 2012-04-17 08:00:00 1.3317157
## 2012-04-18 08:00:00 1.3156520
## 2012-04-19 08:00:00 1.2947416
## 2012-04-20 08:00:00 1.2897946
## 2012-04-23 08:00:00 1.2784694
## 2012-04-24 08:00:00 1.2743826
## 2012-04-25 08:00:00 1.3096334
## 2012-04-26 08:00:00 1.3075355
## 2012-04-27 08:00:00 1.2979557
## 2012-04-30 08:00:00 1.2800178
## 2012-05-01 08:00:00 1.2760429
## 2012-05-02 08:00:00 1.2742104
## 2012-05-03 08:00:00 1.2661608
## 2012-05-04 08:00:00 1.2422604
## 2012-05-07 08:00:00 1.2497423
## 2012-05-08 08:00:00 1.2405127
## 2012-05-09 08:00:00 1.2430214
## 2012-05-10 08:00:00 1.2534436
## 2012-05-11 08:00:00 1.2191388
## 2012-05-14 08:00:00 1.2157249
## 2012-05-15 08:00:00 1.2089272
## 2012-05-16 08:00:00 1.2056170
## 2012-05-17 08:00:00 1.2067199
## 2012-05-18 08:00:00 1.1903369
## 2012-05-21 08:00:00 1.2214839
## 2012-05-22 08:00:00 1.2155597
## 2012-05-23 08:00:00 1.2204969
## 2012-05-24 08:00:00 1.2200621
## 2012-05-25 08:00:00 1.2046416
## 2012-05-29 08:00:00 1.2229745
## 2012-05-30 08:00:00 1.2105985
## 2012-05-31 08:00:00 1.2126633
## 2012-06-01 08:00:00 1.1809121
## 2012-06-04 08:00:00 1.1873168
## 2012-06-05 08:00:00 1.1959530
## 2012-06-06 08:00:00 1.2168172
## 2012-06-07 08:00:00 1.2095825
## 2012-06-08 08:00:00 1.2053091
## 2012-06-11 08:00:00 1.1946103
## 2012-06-12 08:00:00 1.2096513
## 2012-06-13 08:00:00 1.1982818
## 2012-06-14 08:00:00 1.2088472
## 2012-06-15 08:00:00 1.2180234
## 2012-06-18 08:00:00 1.2345220
## 2012-06-19 08:00:00 1.2379038
## 2012-06-20 08:00:00 1.2468697
## 2012-06-21 08:00:00 1.2259581
## 2012-06-22 08:00:00 1.2534520
## 2012-06-25 08:00:00 1.2343032
## 2012-06-26 08:00:00 1.2334871
## 2012-06-27 08:00:00 1.2391248
## 2012-06-28 08:00:00 1.2316705
## 2012-06-29 08:00:00 1.2643212
## 2012-07-02 08:00:00 1.2698823
## 2012-07-03 08:00:00 1.2769261
## 2012-07-05 08:00:00 1.2665042
## 2012-07-06 08:00:00 1.2597293
## 2012-07-09 08:00:00 1.2585147
## 2012-07-10 08:00:00 1.2433415
## 2012-07-11 08:00:00 1.2353574
## 2012-07-12 08:00:00 1.2187464
## 2012-07-13 08:00:00 1.2312022
## 2012-07-16 08:00:00 1.2304686
## 2012-07-17 08:00:00 1.2214923
## 2012-07-18 08:00:00 1.2224834
## 2012-07-19 08:00:00 1.2353454
## 2012-07-20 08:00:00 1.2108693
## 2012-07-23 08:00:00 1.1955858
## 2012-07-24 08:00:00 1.1887257
## 2012-07-25 08:00:00 1.1674630
## 2012-07-26 08:00:00 1.1918264
## 2012-07-27 08:00:00 1.2187657
## 2012-07-30 08:00:00 1.2190444
## 2012-07-31 08:00:00 1.2341239
## 2012-08-01 08:00:00 1.2292584
## 2012-08-02 08:00:00 1.1960524
## 2012-08-03 08:00:00 1.2209756
## 2012-08-06 08:00:00 1.2189818
## 2012-08-07 08:00:00 1.2222200
## 2012-08-08 08:00:00 1.2244507
## 2012-08-09 08:00:00 1.2446440
## 2012-08-10 08:00:00 1.2574498
## 2012-08-13 08:00:00 1.2580194
## 2012-08-14 08:00:00 1.2436777
## 2012-08-15 08:00:00 1.2343954
## 2012-08-16 08:00:00 1.2588873
## 2012-08-17 08:00:00 1.2697089
## 2012-08-20 08:00:00 1.2828938
## 2012-08-21 08:00:00 1.2730797
## 2012-08-22 08:00:00 1.2758780
## 2012-08-23 08:00:00 1.2641500
## 2012-08-24 08:00:00 1.2702077
## 2012-08-27 08:00:00 1.2771112
## 2012-08-28 08:00:00 1.2711386
## 2012-08-29 08:00:00 1.2764180
## 2012-08-30 08:00:00 1.2562015
## 2012-08-31 08:00:00 1.2545038
## 2012-09-04 08:00:00 1.2605390
## 2012-09-05 08:00:00 1.2467144
## 2012-09-06 08:00:00 1.2596053
## 2012-09-07 08:00:00 1.2774643
## 2012-09-10 08:00:00 1.2688929
## 2012-09-11 08:00:00 1.2726845
## 2012-09-12 08:00:00 1.2736935
## 2012-09-13 08:00:00 1.3037619
## 2012-09-14 08:00:00 1.3268715
## 2012-09-17 08:00:00 1.3340259
## 2012-09-18 08:00:00 1.3410399
## 2012-09-19 08:00:00 1.3448151
## 2012-09-20 08:00:00 1.3294175
## 2012-09-21 08:00:00 1.3199925
## 2012-09-24 08:00:00 1.3024479
## 2012-09-25 08:00:00 1.2836453
## 2012-09-26 08:00:00 1.2713108
## 2012-09-27 08:00:00 1.2928429
## 2012-09-28 08:00:00 1.2689387
## 2012-10-01 08:00:00 1.2683941
## 2012-10-02 08:00:00 1.2697937
## 2012-10-03 08:00:00 1.2781471
## 2012-10-04 08:00:00 1.2707921
## 2012-10-05 08:00:00 1.2725564
## 2012-10-08 08:00:00 1.2606976
## 2012-10-09 08:00:00 1.2442876
## 2012-10-10 08:00:00 1.2375336
## 2012-10-11 08:00:00 1.2291328
## 2012-10-12 08:00:00 1.2286361
## 2012-10-15 08:00:00 1.2455017
## 2012-10-16 08:00:00 1.2659996
## 2012-10-17 08:00:00 1.2698347
## 2012-10-18 08:00:00 1.2705280
## 2012-10-19 08:00:00 1.2435815
## 2012-10-22 08:00:00 1.2644763
## 2012-10-23 08:00:00 1.2355159
## 2012-10-24 08:00:00 1.2344681
## 2012-10-25 08:00:00 1.2284363
## 2012-10-26 08:00:00 1.2236538
## 2012-10-31 08:00:00 1.2157277
## 2012-11-01 08:00:00 1.2204899
## 2012-11-02 08:00:00 1.1878563
## 2012-11-05 08:00:00 1.1901253
## 2012-11-06 08:00:00 1.1885528
## 2012-11-07 08:00:00 1.1820162
## 2012-11-08 08:00:00 1.1569429
## 2012-11-09 08:00:00 1.1624593
## 2012-11-12 08:00:00 1.1508317
## 2012-11-13 08:00:00 1.1548476
## 2012-11-14 08:00:00 1.1154231
## 2012-11-15 08:00:00 1.1072782
## 2012-11-16 08:00:00 1.1201294
## 2012-11-19 08:00:00 1.1520491
## 2012-11-20 08:00:00 1.1425173
## 2012-11-21 08:00:00 1.1485206
## 2012-11-23 08:00:00 1.1584903
## 2012-11-26 08:00:00 1.1659127
## 2012-11-27 08:00:00 1.1576939
## 2012-11-28 08:00:00 1.1595308
## 2012-11-29 08:00:00 1.1676076
## 2012-11-30 08:00:00 1.1586306
## 2012-12-03 08:00:00 1.1553784
## 2012-12-04 08:00:00 1.1461211
## 2012-12-05 08:00:00 1.1265901
## 2012-12-06 08:00:00 1.1461765
## 2012-12-07 08:00:00 1.1426370
## 2012-12-10 08:00:00 1.1345452
## 2012-12-11 08:00:00 1.1397754
## 2012-12-12 08:00:00 1.1506822
## 2012-12-13 08:00:00 1.1641984
## 2012-12-14 08:00:00 1.1599098
## 2012-12-17 08:00:00 1.1686251
## 2012-12-18 08:00:00 1.1842146
## 2012-12-19 08:00:00 1.1696551
## 2012-12-20 08:00:00 1.1742523
## 2012-12-21 08:00:00 1.1620774
## 2012-12-24 08:00:00 1.1607299
## 2012-12-26 08:00:00 1.1606583
## 2012-12-27 08:00:00 1.1582997
## 2012-12-28 08:00:00 1.1498974
## 2012-12-31 08:00:00 1.1746039
## 2013-01-02 08:00:00 1.2029952
## 2013-01-03 08:00:00 1.1973690
## 2013-01-04 08:00:00 1.1745961
## 2013-01-07 08:00:00 1.1663151
## 2013-01-08 08:00:00 1.1598145
## 2013-01-09 08:00:00 1.1564758
## 2013-01-10 08:00:00 1.1766064
## 2013-01-11 08:00:00 1.1760435
## 2013-01-14 08:00:00 1.1713836
## 2013-01-15 08:00:00 1.1597629
## 2013-01-16 08:00:00 1.1728671
## 2013-01-17 08:00:00 1.2006147
## 2013-01-18 08:00:00 1.2265459
## 2013-01-22 08:00:00 1.2511765
## 2013-01-23 08:00:00 1.2522472
## 2013-01-24 08:00:00 1.2173627
## 2013-01-25 08:00:00 1.2421499
## 2013-01-28 08:00:00 1.2749776
## 2013-01-29 08:00:00 1.2837745
## 2013-01-30 08:00:00 1.2790162
## 2013-01-31 08:00:00 1.2742225
## 2013-02-01 08:00:00 1.2768309
## 2013-02-04 08:00:00 1.2749616
## 2013-02-05 08:00:00 1.3034655
## 2013-02-06 08:00:00 1.3005087
## 2013-02-07 08:00:00 1.3097189
## 2013-02-08 08:00:00 1.3090945
## 2013-02-11 08:00:00 1.3144964
## 2013-02-12 08:00:00 1.2928832
## 2013-02-13 08:00:00 1.2747499
## 2013-02-14 08:00:00 1.2794579
## 2013-02-15 08:00:00 1.2844983
## 2013-02-19 08:00:00 1.3037577
## 2013-02-20 08:00:00 1.2873467
## 2013-02-21 08:00:00 1.2731975
## 2013-02-22 08:00:00 1.2787544
## 2013-02-25 08:00:00 1.2607934
## 2013-02-26 08:00:00 1.2764047
## 2013-02-27 08:00:00 1.2829912
## 2013-02-28 08:00:00 1.2884363
## 2013-03-01 08:00:00 1.2978553
## 2013-03-04 08:00:00 1.3015297
## 2013-03-05 08:00:00 1.3122533
## 2013-03-06 08:00:00 1.3160752
## 2013-03-07 08:00:00 1.3145417
## 2013-03-08 08:00:00 1.3168745
## 2013-03-11 08:00:00 1.3317736
## 2013-03-12 08:00:00 1.3107379
## 2013-03-13 08:00:00 1.3163024
## 2013-03-14 08:00:00 1.3305376
## 2013-03-15 08:00:00 1.3767779
## 2013-03-18 08:00:00 1.3732160
## 2013-03-19 08:00:00 1.3825669
## 2013-03-20 08:00:00 1.3941447
## 2013-03-21 08:00:00 1.3820310
## 2013-03-22 08:00:00 1.4159758
## 2013-03-25 08:00:00 1.4156608
## 2013-03-26 08:00:00 1.4157955
## 2013-03-27 08:00:00 1.4078669
## 2013-03-28 08:00:00 1.3962169
## 2013-04-01 08:00:00 1.3603037
## 2013-04-02 08:00:00 1.3756929
## 2013-04-03 08:00:00 1.3581713
## 2013-04-04 08:00:00 1.3722809
## 2013-04-05 08:00:00 1.3537071
## 2013-04-08 08:00:00 1.3710520
## 2013-04-09 08:00:00 1.3640035
## 2013-04-10 08:00:00 1.3819062
## 2013-04-11 08:00:00 1.3790859
## 2013-04-12 08:00:00 1.3683475
## 2013-04-15 08:00:00 1.3465095
## 2013-04-16 08:00:00 1.3617211
## 2013-04-17 08:00:00 1.3262990
## 2013-04-18 08:00:00 1.3229641
## 2013-04-19 08:00:00 1.3428794
## 2013-04-22 08:00:00 1.3515495
## 2013-04-23 08:00:00 1.3676402
## 2013-04-24 08:00:00 1.3517673
## 2013-04-25 08:00:00 1.3766521
## 2013-04-26 08:00:00 1.3648432
## 2013-04-29 08:00:00 1.3813906
## 2013-04-30 08:00:00 1.3901648
## 2013-05-01 08:00:00 1.3799750
## 2013-05-02 08:00:00 1.4036915
## 2013-05-03 08:00:00 1.4203118
## 2013-05-06 08:00:00 1.4288406
## 2013-05-07 08:00:00 1.4474913
## 2013-05-08 08:00:00 1.4591757
## 2013-05-09 08:00:00 1.4765424
## 2013-05-10 08:00:00 1.4687036
## 2013-05-13 08:00:00 1.4981719
## 2013-05-14 08:00:00 1.5416180
## 2013-05-15 08:00:00 1.5206222
## 2013-05-16 08:00:00 1.5141713
## 2013-05-17 08:00:00 1.5198296
## 2013-05-20 08:00:00 1.5414072
## 2013-05-21 08:00:00 1.5927600
## 2013-05-22 08:00:00 1.5750896
## 2013-05-23 08:00:00 1.5565143
## 2013-05-24 08:00:00 1.5435044
## 2013-05-28 08:00:00 1.5304123
## 2013-05-29 08:00:00 1.5108263
## 2013-05-30 08:00:00 1.5395325
## 2013-05-31 08:00:00 1.5155137
## 2013-06-03 08:00:00 1.5052731
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## 2014-05-07 08:00:00 1.7633717
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## 2014-05-15 08:00:00 1.7377745
## 2014-05-16 08:00:00 1.7518783
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## 2014-05-21 08:00:00 1.7470067
## 2014-05-22 08:00:00 1.7487694
## 2014-05-23 08:00:00 1.7552375
## 2014-05-27 08:00:00 1.7895007
## 2014-05-28 08:00:00 1.7812132
## 2014-05-29 08:00:00 1.7934773
## 2014-05-30 08:00:00 1.7941153
## 2014-06-02 08:00:00 1.7909570
## 2014-06-03 08:00:00 1.7939635
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## 2014-06-05 08:00:00 1.8104756
## 2014-06-06 08:00:00 1.8046428
## 2014-06-09 08:00:00 1.8224083
## 2014-06-10 08:00:00 1.8244750
## 2014-06-11 08:00:00 1.8105079
## 2014-06-12 08:00:00 1.8000009
## 2014-06-13 08:00:00 1.7979217
## 2014-06-16 08:00:00 1.8079402
## 2014-06-17 08:00:00 1.8001302
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## 2014-06-19 08:00:00 1.8445235
## 2014-06-20 08:00:00 1.8362244
## 2014-06-23 08:00:00 1.8238296
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## 2014-06-25 08:00:00 1.8268223
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## 2014-06-27 08:00:00 1.8332197
## 2014-06-30 08:00:00 1.8438280
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## 2014-07-02 08:00:00 1.8552334
## 2014-07-03 08:00:00 1.8583468
## 2014-07-07 08:00:00 1.8733750
## 2014-07-08 08:00:00 1.8625163
## 2014-07-09 08:00:00 1.8637889
## 2014-07-10 08:00:00 1.8586135
## 2014-07-11 08:00:00 1.8584505
## 2014-07-14 08:00:00 1.8754137
## 2014-07-15 08:00:00 1.8577187
## 2014-07-16 08:00:00 1.8636772
## 2014-07-17 08:00:00 1.8467927
## 2014-07-18 08:00:00 1.8596413
## 2014-07-21 08:00:00 1.8522305
## 2014-07-22 08:00:00 1.8515652
## 2014-07-23 08:00:00 1.8865818
## 2014-07-24 08:00:00 1.9091482
## 2014-07-25 08:00:00 1.9237317
## 2014-07-28 08:00:00 1.9297692
## 2014-07-29 08:00:00 1.9110308
## 2014-07-30 08:00:00 1.9032468
## 2014-07-31 08:00:00 1.9137941
## 2014-08-01 08:00:00 1.9032116
## 2014-08-04 08:00:00 1.9207409
## 2014-08-05 08:00:00 1.9040186
## 2014-08-06 08:00:00 1.9034368
## 2014-08-07 08:00:00 1.8847611
## 2014-08-08 08:00:00 1.8920978
## 2014-08-11 08:00:00 1.9096115
## 2014-08-12 08:00:00 1.9049313
## 2014-08-13 08:00:00 1.9373619
## 2014-08-14 08:00:00 1.9439673
## 2014-08-15 08:00:00 1.9593894
## 2014-08-18 08:00:00 1.9732824
## 2014-08-19 08:00:00 1.9921384
## 2014-08-20 08:00:00 1.9982010
## 2014-08-21 08:00:00 1.9928110
## 2014-08-22 08:00:00 1.9955538
## 2014-08-25 08:00:00 2.0123497
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## 2014-08-27 08:00:00 2.0045090
## 2014-08-28 08:00:00 2.0102711
## 2014-08-29 08:00:00 2.0185648
## 2014-09-02 08:00:00 2.0339544
## 2014-09-03 08:00:00 2.0230256
## 2014-09-04 08:00:00 2.0078800
## 2014-09-05 08:00:00 2.0004036
## 2014-09-08 08:00:00 1.9950926
## 2014-09-09 08:00:00 1.9890881
## 2014-09-10 08:00:00 2.0221209
## 2014-09-11 08:00:00 2.0344804
## 2014-09-12 08:00:00 2.0309797
## 2014-09-15 08:00:00 2.0349610
## 2014-09-16 08:00:00 2.0533238
## 2014-09-17 08:00:00 2.0118645
## 2014-09-18 08:00:00 1.9874770
## 2014-09-19 08:00:00 1.9727822
## 2014-09-22 08:00:00 1.9602810
## 2014-09-23 08:00:00 1.9662426
## 2014-09-24 08:00:00 1.9638723
## 2014-09-25 08:00:00 1.9295044
## 2014-09-26 08:00:00 1.9570613
## 2014-09-29 08:00:00 1.9656823
## 2014-09-30 08:00:00 1.9785985
## 2014-10-01 08:00:00 1.9553325
## 2014-10-02 08:00:00 1.9482162
## 2014-10-03 08:00:00 1.9583857
## 2014-10-06 08:00:00 1.9629485
## 2014-10-07 08:00:00 1.9410821
## 2014-10-08 08:00:00 1.9758080
## 2014-10-09 08:00:00 1.9523254
## 2014-10-10 08:00:00 1.9558854
## 2014-10-13 08:00:00 1.9397140
## 2014-10-14 08:00:00 1.9287452
## 2014-10-15 08:00:00 1.9116735
## 2014-10-16 08:00:00 1.8908672
## 2014-10-17 08:00:00 1.9179943
## 2014-10-20 08:00:00 1.9567313
## 2014-10-21 08:00:00 1.9720911
## 2014-10-22 08:00:00 1.9879789
## 2014-10-23 08:00:00 2.0038388
## 2014-10-24 08:00:00 2.0068592
## 2014-10-27 08:00:00 1.9975067
## 2014-10-28 08:00:00 2.0214857
## 2014-10-29 08:00:00 2.0447728
## 2014-10-30 08:00:00 2.0623793
## 2014-10-31 08:00:00 2.1129557
## 2014-11-03 08:00:00 2.1316781
## 2014-11-04 08:00:00 2.1277219
## 2014-11-05 08:00:00 2.1366302
## 2014-11-06 08:00:00 2.1210176
## 2014-11-07 08:00:00 2.1201319
## 2014-11-10 08:00:00 2.1514696
## 2014-11-11 08:00:00 2.1626527
## 2014-11-12 08:00:00 2.1733312
## 2014-11-13 08:00:00 2.1859029
## 2014-11-14 08:00:00 2.1969784
## 2014-11-17 08:00:00 2.1873568
## 2014-11-18 08:00:00 2.2290711
## 2014-11-19 08:00:00 2.2112822
## 2014-11-20 08:00:00 2.2077337
## 2014-11-21 08:00:00 2.2418677
## 2014-11-24 08:00:00 2.2683357
## 2014-11-25 08:00:00 2.2740815
## 2014-11-26 08:00:00 2.2777985
## 2014-11-28 08:00:00 2.2934932
## 2014-12-01 08:00:00 2.2709590
## 2014-12-02 08:00:00 2.2670243
## 2014-12-03 08:00:00 2.2641554
## 2014-12-04 08:00:00 2.2628552
## 2014-12-05 08:00:00 2.2611729
## 2014-12-08 08:00:00 2.2095001
## 2014-12-09 08:00:00 2.1999155
## 2014-12-10 08:00:00 2.1817919
## 2014-12-11 08:00:00 2.1787780
## 2014-12-12 08:00:00 2.1404592
## 2014-12-15 08:00:00 2.1049976
## 2014-12-16 08:00:00 2.0835681
## 2014-12-17 08:00:00 2.1326470
## 2014-12-18 08:00:00 2.1921557
## 2014-12-19 08:00:00 2.1677096
## 2014-12-22 08:00:00 2.1911906
## 2014-12-23 08:00:00 2.1970896
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## 2014-12-26 08:00:00 2.2182811
## 2014-12-29 08:00:00 2.2118301
## 2014-12-30 08:00:00 2.1764640
## 2014-12-31 08:00:00 2.1481209
## 2015-01-02 08:00:00 2.1435492
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## 2015-01-06 08:00:00 2.1020371
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## 2015-01-08 08:00:00 2.2181558
## 2015-01-09 08:00:00 2.2062410
## 2015-01-12 08:00:00 2.1860073
## 2015-01-13 08:00:00 2.1854734
## 2015-01-14 08:00:00 2.1683814
## 2015-01-15 08:00:00 2.1570953
## 2015-01-16 08:00:00 2.1473111
## 2015-01-20 08:00:00 2.1719338
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## 2015-01-22 08:00:00 2.2535548
## 2015-01-23 08:00:00 2.2695569
## 2015-01-26 08:00:00 2.2984816
## 2015-01-27 08:00:00 2.2470313
## 2015-01-28 08:00:00 2.2934764
## 2015-01-29 08:00:00 2.3229598
## 2015-01-30 08:00:00 2.2848402
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## 2015-02-23 08:00:00 2.5595730
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## 2015-03-12 08:00:00 2.4828781
## 2015-03-13 08:00:00 2.4478130
## 2015-03-16 08:00:00 2.4443457
## 2015-03-17 08:00:00 2.4748938
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## 2016-12-30 08:00:00 2.6514546
## 2017-01-03 08:00:00 2.6623399
## 2017-01-04 08:00:00 2.6721812
## 2017-01-05 08:00:00 2.6799153
## 2017-01-06 08:00:00 2.6961359
## 2017-01-09 08:00:00 2.6906712
## 2017-01-10 08:00:00 2.7013880
## 2017-01-11 08:00:00 2.7336136
## 2017-01-12 08:00:00 2.7436098
## 2017-01-13 08:00:00 2.7442874
## 2017-01-17 08:00:00 2.7519744
## 2017-01-18 08:00:00 2.7518141
## 2017-01-19 08:00:00 2.7372272
## 2017-01-20 08:00:00 2.7494924
## 2017-01-23 08:00:00 2.7544000
## 2017-01-24 08:00:00 2.7613655
## 2017-01-25 08:00:00 2.7845554
## 2017-01-26 08:00:00 2.7914483
## 2017-01-27 08:00:00 2.7670309
## 2017-01-30 08:00:00 2.7323092
## 2017-01-31 08:00:00 2.7571037
## 2017-02-01 08:00:00 2.8054172
## 2017-02-02 08:00:00 2.8643979
## 2017-02-03 08:00:00 2.8696262
## 2017-02-06 08:00:00 2.8825092
## 2017-02-07 08:00:00 2.9062715
## 2017-02-08 08:00:00 2.9023412
## 2017-02-09 08:00:00 2.9111360
## 2017-02-10 08:00:00 2.9090944
## 2017-02-13 08:00:00 2.9189805
## 2017-02-14 08:00:00 2.9341636
## 2017-02-15 08:00:00 2.9343863
## 2017-02-16 08:00:00 2.9372812
## 2017-02-17 08:00:00 2.9415756
## 2017-02-21 08:00:00 2.9564052
## 2017-02-22 08:00:00 2.9623955
## 2017-02-23 08:00:00 2.9570097
## 2017-02-24 08:00:00 2.9511547
## 2017-02-27 08:00:00 2.9433915
## 2017-02-28 08:00:00 2.9594463
## 2017-03-01 08:00:00 2.9986936
## 2017-03-02 08:00:00 2.9923126
## 2017-03-03 08:00:00 3.0070462
## 2017-03-06 08:00:00 2.9834012
## 2017-03-07 08:00:00 2.9713930
## 2017-03-08 08:00:00 2.9639636
## 2017-03-09 08:00:00 2.9616886
## 2017-03-10 08:00:00 2.9984885
## 2017-03-13 08:00:00 3.0033548
## 2017-03-14 08:00:00 2.9871929
## 2017-03-15 08:00:00 3.0210345
## 2017-03-16 08:00:00 3.0293331
## 2017-03-17 08:00:00 3.0329150
## 2017-03-20 08:00:00 3.0426154
## 2017-03-21 08:00:00 3.0247393
## 2017-03-22 08:00:00 3.0453765
## 2017-03-23 08:00:00 3.0332437
## 2017-03-24 08:00:00 3.0479880
## 2017-03-27 08:00:00 3.0560285
## 2017-03-28 08:00:00 3.0845919
## 2017-03-29 08:00:00 3.1087641
## 2017-03-30 08:00:00 3.1156906
## 2017-03-31 08:00:00 3.1188549
## 2017-04-03 08:00:00 3.0972609
## 2017-04-04 08:00:00 3.1104393
## 2017-04-05 08:00:00 3.0923064
## 2017-04-06 08:00:00 3.0694035
## 2017-04-07 08:00:00 3.0633598
## 2017-04-10 08:00:00 3.0613168
## 2017-04-11 08:00:00 3.0450115
## 2017-04-12 08:00:00 3.0523101
## 2017-04-13 08:00:00 3.0333077
## 2017-04-17 08:00:00 3.0609278
## 2017-04-18 08:00:00 3.0603594
## 2017-04-19 08:00:00 3.0594007
## 2017-04-20 08:00:00 3.0983654
## 2017-04-21 08:00:00 3.1218464
## 2017-04-24 08:00:00 3.1443470
## 2017-04-25 08:00:00 3.1440610
## 2017-04-26 08:00:00 3.1280384
## 2017-04-27 08:00:00 3.1267366
## 2017-04-28 08:00:00 3.1563290
## 2017-05-01 08:00:00 3.1733775
## 2017-05-02 08:00:00 3.1821106
## 2017-05-03 08:00:00 3.1702089
## 2017-05-04 08:00:00 3.1765840
## 2017-05-05 08:00:00 3.2025872
## 2017-05-08 08:00:00 3.2438314
## 2017-05-09 08:00:00 3.2539850
## 2017-05-10 08:00:00 3.2555437
## 2017-05-11 08:00:00 3.2668041
## 2017-05-12 08:00:00 3.2801898
## 2017-05-15 08:00:00 3.2810236
## 2017-05-16 08:00:00 3.2812913
## 2017-05-17 08:00:00 3.2390846
## 2017-05-18 08:00:00 3.2574001
## 2017-05-19 08:00:00 3.2684293
## 2017-05-22 08:00:00 3.2806873
## 2017-05-23 08:00:00 3.2831505
## 2017-05-24 08:00:00 3.3034726
## 2017-05-25 08:00:00 3.3255948
## 2017-05-26 08:00:00 3.3427560
## 2017-05-30 08:00:00 3.3380305
## 2017-05-31 08:00:00 3.3324722
## 2017-06-01 08:00:00 3.3356114
## 2017-06-02 08:00:00 3.3939142
## 2017-06-05 08:00:00 3.3824304
## 2017-06-06 08:00:00 3.3984544
## 2017-06-07 08:00:00 3.3901696
## 2017-06-08 08:00:00 3.3778975
## 2017-06-09 08:00:00 3.3067626
## 2017-06-12 08:00:00 3.2860586
## 2017-06-13 08:00:00 3.2923884
## 2017-06-14 08:00:00 3.2953067
## 2017-06-15 08:00:00 3.2986828
## 2017-06-16 08:00:00 3.2776344
## 2017-06-19 08:00:00 3.3510544
## 2017-06-20 08:00:00 3.3330957
## 2017-06-21 08:00:00 3.3337050
## 2017-06-22 08:00:00 3.3280791
## 2017-06-23 08:00:00 3.3438415
## 2017-06-26 08:00:00 3.3468705
## 2017-06-27 08:00:00 3.3171203
## 2017-06-28 08:00:00 3.3456731
## 2017-06-29 08:00:00 3.3007363
## 2017-06-30 08:00:00 3.3034251
## 2017-07-03 08:00:00 3.2989727
## 2017-07-05 08:00:00 3.2946520
## 2017-07-06 08:00:00 3.2713880
## 2017-07-07 08:00:00 3.2933058
## 2017-07-10 08:00:00 3.2985912
## 2017-07-11 08:00:00 3.3173146
## 2017-07-12 08:00:00 3.3541141
## 2017-07-13 08:00:00 3.3645024
## 2017-07-14 08:00:00 3.3949989
## 2017-07-17 08:00:00 3.3963796
## 2017-07-18 08:00:00 3.4080384
## 2017-07-19 08:00:00 3.4238500
## 2017-07-20 08:00:00 3.4222902
## 2017-07-21 08:00:00 3.4376237
## 2017-07-24 08:00:00 3.4410050
## 2017-07-25 08:00:00 3.4366275
## 2017-07-26 08:00:00 3.4670647
## 2017-07-27 08:00:00 3.4604503
## 2017-07-28 08:00:00 3.4361588
## 2017-07-31 08:00:00 3.4331548
## 2017-08-01 08:00:00 3.4265090
## 2017-08-02 08:00:00 3.4529421
## 2017-08-03 08:00:00 3.4585007
## 2017-08-04 08:00:00 3.4693977
## 2017-08-07 08:00:00 3.4840560
## 2017-08-08 08:00:00 3.5072571
## 2017-08-09 08:00:00 3.4989654
## 2017-08-10 08:00:00 3.4252743
## 2017-08-11 08:00:00 3.4465788
## 2017-08-14 08:00:00 3.4821182
## 2017-08-15 08:00:00 3.5003168
## 2017-08-16 08:00:00 3.5096681
## 2017-08-17 08:00:00 3.4679641
## 2017-08-18 08:00:00 3.4510216
## 2017-08-21 08:00:00 3.4477354
## 2017-08-22 08:00:00 3.4701020
## 2017-08-23 08:00:00 3.4682509
## 2017-08-24 08:00:00 3.4349899
## 2017-08-25 08:00:00 3.4445541
## 2017-08-28 08:00:00 3.4533912
## 2017-08-29 08:00:00 3.4719170
## 2017-08-30 08:00:00 3.4920565
## 2017-08-31 08:00:00 3.5147907
## 2017-09-01 08:00:00 3.5189224
## 2017-09-05 08:00:00 3.4936228
## 2017-09-06 08:00:00 3.4972678
## 2017-09-07 08:00:00 3.5020594
## 2017-09-08 08:00:00 3.4783120
## 2017-09-11 08:00:00 3.5178119
## 2017-09-12 08:00:00 3.5012287
## 2017-09-13 08:00:00 3.4740085
## 2017-09-14 08:00:00 3.4207920
## 2017-09-15 08:00:00 3.4477728
## 2017-09-18 08:00:00 3.4325637
## 2017-09-19 08:00:00 3.4063494
## 2017-09-20 08:00:00 3.3810907
## 2017-09-21 08:00:00 3.3451798
## 2017-09-22 08:00:00 3.3260291
## 2017-09-25 08:00:00 3.3016987
## 2017-09-26 08:00:00 3.3038079
## 2017-09-27 08:00:00 3.3052943
## 2017-09-28 08:00:00 3.3140894
## 2017-09-29 08:00:00 3.3363493
## 2017-10-02 08:00:00 3.3104622
## 2017-10-03 08:00:00 3.3222467
## 2017-10-04 08:00:00 3.3165310
## 2017-10-05 08:00:00 3.3244149
## 2017-10-06 08:00:00 3.3268407
## 2017-10-09 08:00:00 3.3256537
## 2017-10-10 08:00:00 3.3239428
## 2017-10-11 08:00:00 3.3332384
## 2017-10-12 08:00:00 3.3297159
## 2017-10-13 08:00:00 3.3534483
## 2017-10-16 08:00:00 3.3906339
## 2017-10-17 08:00:00 3.3781400
## 2017-10-18 08:00:00 3.3858110
## 2017-10-19 08:00:00 3.3651250
## 2017-10-20 08:00:00 3.3597703
## 2017-10-23 08:00:00 3.3587999
## 2017-10-24 08:00:00 3.3617884
## 2017-10-25 08:00:00 3.3339396
## 2017-10-26 08:00:00 3.3685909
## 2017-10-27 08:00:00 3.4070977
## 2017-10-30 08:00:00 3.4544782
## 2017-10-31 08:00:00 3.6128204
## 2017-11-01 08:00:00 3.6000174
## 2017-11-02 08:00:00 3.6452863
## 2017-11-03 08:00:00 3.6761993
## 2017-11-06 08:00:00 3.7075849
## 2017-11-07 08:00:00 3.7286778
## 2017-11-08 08:00:00 3.7960838
## 2017-11-09 08:00:00 3.7440061
## 2017-11-10 08:00:00 3.7628888
## 2017-11-13 08:00:00 3.7680935
## 2017-11-14 08:00:00 3.7672484
## 2017-11-15 08:00:00 3.7214084
## 2017-11-16 08:00:00 3.7611293
## 2017-11-17 08:00:00 3.7502699
## 2017-11-20 08:00:00 3.7737608
## 2017-11-21 08:00:00 3.8126926
## 2017-11-22 08:00:00 3.8181596
## 2017-11-24 08:00:00 3.8457767
## 2017-11-27 08:00:00 3.8425449
## 2017-11-28 08:00:00 3.8530710
## 2017-11-29 08:00:00 3.8023680
## 2017-11-30 08:00:00 3.8088356
## 2017-12-01 08:00:00 3.7721190
## 2017-12-04 08:00:00 3.7762618
## 2017-12-05 08:00:00 3.7789376
## 2017-12-06 08:00:00 3.7625140
## 2017-12-07 08:00:00 3.7639476
## 2017-12-08 08:00:00 3.7636586
## 2017-12-11 08:00:00 3.7728294
## 2017-12-12 08:00:00 3.7584473
## 2017-12-13 08:00:00 3.7675594
## 2017-12-14 08:00:00 3.7641614
## 2017-12-15 08:00:00 3.8007457
## 2017-12-18 08:00:00 3.8302418
## 2017-12-19 08:00:00 3.8118744
## 2017-12-20 08:00:00 3.8065283
## 2017-12-21 08:00:00 3.8134321
## 2017-12-22 08:00:00 3.8244613
## 2017-12-26 08:00:00 3.7820688
## 2017-12-27 08:00:00 3.7881140
## 2017-12-28 08:00:00 3.7930191
## 2017-12-29 08:00:00 3.7763384
constraints = new.constraints(n, lb = -Inf, ub = +Inf)
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, ]
#historical input assumptions in the creating
ia = create.historical.ia(hist, 252)
#s0 = apply(coredata(hist),2,sd)
#ia$cov = cor(coredata(hist), use='complete.obs',method='pearson') * (s0 %*% t(s0))
weight[i,] = min.risk.portfolio(ia, constraints)
}
tail(weight,1)
## AAPL PEP SNE
## [2013,] 0.2737636 0.6315227 0.09471364
data$weight[] = weight
capital = 100000
data$weight[] = (capital / prices) * data$weight
min.var.monthly = bt.run(data, type='share', capital=capital)
## Latest weights :
## AAPL PEP SNE
## 2017-12-29 08:00:00 27.25 73.73 -0.98
##
## Performance summary :
## CAGR Best Worst
## 16.2 3.9 -4.4