library(tidyquant)
## Loading required package: lubridate
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## Attaching package: 'lubridate'
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## Loading required package: PerformanceAnalytics
## Loading required package: xts
## Loading required package: zoo
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## Attaching package: 'zoo'
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## Attaching package: 'PerformanceAnalytics'
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## Loading required package: quantmod
## Loading required package: TTR
## Registered S3 method overwritten by 'quantmod':
##   method            from
##   as.zoo.data.frame zoo
library(PerformanceAnalytics)
library(xts)
library(readr)
library(dplyr)
## 
## ######################### Warning from 'xts' package ##########################
## #                                                                             #
## # The dplyr lag() function breaks how base R's lag() function is supposed to  #
## # work, which breaks lag(my_xts). Calls to lag(my_xts) that you type or       #
## # source() into this session won't work correctly.                            #
## #                                                                             #
## # Use stats::lag() to make sure you're not using dplyr::lag(), or you can add #
## # conflictRules('dplyr', exclude = 'lag') to your .Rprofile to stop           #
## # dplyr from breaking base R's lag() function.                                #
## #                                                                             #
## # Code in packages is not affected. It's protected by R's namespace mechanism #
## # Set `options(xts.warn_dplyr_breaks_lag = FALSE)` to suppress this warning.  #
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## Attaching package: 'dplyr'
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##     first, last
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##     filter, lag
## The following objects are masked from 'package:base':
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##     intersect, setdiff, setequal, union
library(lubridate)
library(timetk)
library(purrr)
library(tibble)
library(kableExtra)
## 
## Attaching package: 'kableExtra'
## The following object is masked from 'package:dplyr':
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##     group_rows
#Define the symbols we want to take 
symbols <- c("SPY", "QQQ", "EEM", "IWM", "EFA", "TLT", "IYR", "GLD")

#Extract data from yahoo finance and feed the data in prices
prices <- 
  getSymbols(symbols, src = 'yahoo', from = "2010-01-01", 
             auto.assign = TRUE, warnings = FALSE) %>% 
  map(~Ad(get(.))) %>% 
  reduce(merge) %>%
  `colnames<-`(symbols)

#Show the data prices
head(prices)
##                 SPY      QQQ      EEM      IWM      EFA      TLT      IYR
## 2010-01-04 88.11789 41.00547 32.42903 53.08980 37.99448 63.06120 28.77183
## 2010-01-05 88.35115 41.00547 32.66440 52.90723 38.02796 63.46839 28.84092
## 2010-01-06 88.41335 40.75812 32.73273 52.85744 38.18871 62.61874 28.82836
## 2010-01-07 88.78659 40.78462 32.54291 53.24745 38.04136 62.72410 29.08587
## 2010-01-08 89.08203 41.12030 32.80107 53.53788 38.34275 62.69602 28.89117
## 2010-01-11 89.20645 40.95247 32.73273 53.32213 38.65754 62.35190 29.02934
##               GLD
## 2010-01-04 109.80
## 2010-01-05 109.70
## 2010-01-06 111.51
## 2010-01-07 110.82
## 2010-01-08 111.37
## 2010-01-11 112.85

#Question 2: Calculate weekly and monthly returns using log returns

#Change data from daily to weekly
prices_weekly <- to.weekly(prices, indexAt = "last", OHLC = FALSE)

#Change data from daily to monthly
prices_monthly <- to.monthly(prices, indexAt = "last", OHLC = FALSE)

#Calculate weekly retun
asset_returns_wk_xts <- na.omit(Return.calculate(prices_weekly))

#Calculate monthly return
asset_returns_mon_xts <- na.omit(Return.calculate(prices_monthly))

#Weekly return
head(asset_returns_wk_xts)
##                     SPY          QQQ         EEM         IWM          EFA
## 2010-01-15 -0.008117480 -0.015037607 -0.02893499 -0.01301936 -0.003493770
## 2010-01-22 -0.038982577 -0.036859501 -0.05578101 -0.03062198 -0.055740179
## 2010-01-29 -0.016665009 -0.031023488 -0.03357713 -0.02624306 -0.025802877
## 2010-02-05 -0.006797249  0.004440319 -0.02821328 -0.01397438 -0.019054885
## 2010-02-12  0.012937861  0.018148459  0.03333289  0.02952562  0.005244577
## 2010-02-19  0.028692986  0.024451286  0.02445426  0.03343163  0.022995059
##                      TLT          IYR          GLD
## 2010-01-15  2.004735e-02 -0.006304691 -0.004579349
## 2010-01-22  1.010088e-02 -0.041785188 -0.033285246
## 2010-01-29  3.369038e-03 -0.008446874 -0.011290465
## 2010-02-05 -5.355693e-05  0.003223196 -0.012080019
## 2010-02-12 -1.946104e-02 -0.007573856  0.022544905
## 2010-02-19 -8.204828e-03  0.050184729  0.022701796
#Monthly return
head(asset_returns_mon_xts)
##                    SPY         QQQ          EEM         IWM          EFA
## 2010-02-26  0.03119487  0.04603871  0.017763332  0.04475091  0.002667829
## 2010-03-31  0.06087940  0.07710942  0.081109252  0.08230708  0.063853861
## 2010-04-30  0.01547042  0.02242541 -0.001662106  0.05678491 -0.028045809
## 2010-05-28 -0.07945485 -0.07392377 -0.093935515 -0.07536635 -0.111927878
## 2010-06-30 -0.05174107 -0.05975702 -0.013986696 -0.07743413 -0.020619519
## 2010-07-30  0.06830090  0.07258260  0.109324882  0.06730903  0.116104218
##                     TLT         IYR          GLD
## 2010-02-26 -0.003424230  0.05456987  0.032748219
## 2010-03-31 -0.020573101  0.09748540 -0.004386396
## 2010-04-30  0.033217934  0.06388083  0.058834363
## 2010-05-28  0.051083515 -0.05683532  0.030513147
## 2010-06-30  0.057977875 -0.04670118  0.023553189
## 2010-07-30 -0.009463553  0.09404760 -0.050871157

#Question 3: Convert weekly,monthly returns into tibble format.

#Weekly return to tibble format
weekly_return <- as_tibble(asset_returns_wk_xts)

kbl(weekly_return, caption = "Weekly return of portfilio")%>%
  row_spec(row =0, bold= TRUE, color = "#34495E", background = "#BFC9CA") %>%
  kable_styling(bootstrap_options = "striped", full_width = F, position = "center")
Weekly return of portfilio
SPY QQQ EEM IWM EFA TLT IYR GLD
-0.0081175 -0.0150376 -0.0289350 -0.0130194 -0.0034938 0.0200474 -0.0063047 -0.0045793
-0.0389826 -0.0368595 -0.0557810 -0.0306220 -0.0557402 0.0101009 -0.0417852 -0.0332852
-0.0166650 -0.0310235 -0.0335771 -0.0262431 -0.0258029 0.0033690 -0.0084469 -0.0112905
-0.0067972 0.0044403 -0.0282133 -0.0139744 -0.0190549 -0.0000536 0.0032232 -0.0120800
0.0129379 0.0181485 0.0333329 0.0295256 0.0052446 -0.0194610 -0.0075739 0.0225449
0.0286930 0.0244513 0.0244543 0.0334316 0.0229951 -0.0082048 0.0501847 0.0227018
-0.0035988 -0.0015618 -0.0106658 -0.0041231 -0.0060441 0.0248180 0.0085882 -0.0003654
0.0316957 0.0375334 0.0510785 0.0608283 0.0448498 -0.0121472 0.0358081 0.0126108
0.0105909 0.0198109 0.0102562 0.0165115 0.0123680 0.0023264 0.0339371 -0.0258100
0.0085533 0.0038151 -0.0043506 -0.0045772 -0.0052104 0.0086209 0.0226306 0.0030570
0.0052596 0.0107390 -0.0021853 0.0084388 0.0025287 -0.0253116 0.0087324 0.0028629
0.0104651 0.0033336 0.0515814 0.0091432 0.0263017 0.0037232 -0.0019960 0.0153790
0.0148554 0.0180644 0.0129570 0.0265964 0.0031593 0.0003365 0.0355931 0.0306548
-0.0015892 0.0101978 -0.0301509 0.0172244 -0.0075241 0.0098896 -0.0289630 -0.0211193
0.0205262 0.0199883 0.0141313 0.0373636 -0.0045840 0.0027827 0.0674089 0.0175297
-0.0246281 -0.0253364 -0.0234560 -0.0334544 -0.0363088 0.0224167 -0.0134127 0.0191713
-0.0635471 -0.0777825 -0.0917956 -0.0877880 -0.0955704 0.0410628 -0.0632554 0.0252253
0.0236384 0.0334727 0.0340410 0.0642593 0.0158505 -0.0073236 0.0370895 0.0177560
-0.0419703 -0.0445342 -0.0544444 -0.0645485 -0.0274057 0.0374160 -0.0520894 -0.0427848
0.0023829 0.0169492 0.0203536 0.0181346 -0.0061703 -0.0196082 0.0241952 0.0317653
-0.0233153 -0.0111839 -0.0236222 -0.0406039 -0.0298013 0.0168030 -0.0546547 0.0026077
0.0267737 0.0090921 0.0419355 0.0217117 0.0433019 -0.0038864 0.0709444 0.0068798
0.0235375 0.0349253 0.0299274 0.0286418 0.0347577 0.0028752 0.0249158 0.0234980
-0.0345473 -0.0349143 -0.0057336 -0.0324851 -0.0178896 0.0139220 -0.0302932 -0.0005699
-0.0525633 -0.0618513 -0.0426073 -0.0713785 -0.0360283 0.0206757 -0.0724464 -0.0347834
0.0563600 0.0506240 0.0588079 0.0521568 0.0630701 -0.0155770 0.0519254 -0.0010971
-0.0120415 -0.0062754 -0.0330250 -0.0297109 -0.0095880 0.0159248 -0.0137804 -0.0142785
0.0351584 0.0387911 0.0646832 0.0640249 0.0405405 -0.0101189 0.0575601 -0.0049713
-0.0012680 -0.0054277 0.0060752 0.0006156 0.0062026 0.0070147 0.0185365 -0.0051684
0.0192254 0.0207379 0.0164252 0.0018455 0.0354458 -0.0005584 0.0121977 0.0203481
-0.0363025 -0.0436269 -0.0332699 -0.0624807 -0.0565582 0.0218784 -0.0353865 0.0076375
-0.0072012 0.0044720 0.0083578 0.0013100 -0.0078879 0.0366598 -0.0031725 0.0103588
-0.0062307 -0.0189222 -0.0129204 0.0081766 0.0041742 -0.0065071 0.0141236 0.0086688
0.0377129 0.0440212 0.0380341 0.0434713 0.0389944 -0.0138763 0.0582578 0.0070242
0.0053205 0.0128229 0.0054722 -0.0094823 0.0060964 -0.0121643 -0.0168670 -0.0010668
0.0144617 0.0322397 0.0179840 0.0233836 0.0155271 -0.0063524 0.0180994 0.0230839
0.0207132 0.0347994 0.0255693 0.0298773 0.0326309 0.0179999 0.0001098 0.0172635
-0.0018286 -0.0130894 0.0296921 0.0129868 0.0016255 0.0144930 -0.0074707 0.0175231
0.0168391 0.0150991 0.0176093 0.0209256 0.0252386 -0.0037281 0.0222054 0.0213327
0.0099538 0.0349749 0.0105993 0.0145781 0.0116055 -0.0379012 0.0134390 0.0153425
0.0055225 0.0029131 -0.0147691 0.0004267 -0.0041716 0.0110707 0.0179833 -0.0295482
0.0011829 0.0104571 0.0019557 -0.0002839 -0.0048874 -0.0094688 -0.0192717 0.0222770
0.0356992 0.0285549 0.0513874 0.0493597 0.0384141 -0.0211890 0.0483988 0.0283518
-0.0205345 -0.0216137 -0.0428955 -0.0235868 -0.0297295 -0.0221471 -0.0461645 -0.0197243
0.0007486 -0.0007615 0.0021547 0.0058307 0.0057450 0.0081407 -0.0223801 -0.0111452
-0.0123867 0.0057175 -0.0367663 0.0106281 -0.0415440 0.0049696 0.0111672 0.0068835
0.0344277 0.0208453 0.0522327 0.0334608 0.0368431 -0.0190685 0.0182218 0.0372625
0.0129385 0.0115089 -0.0116678 0.0274876 0.0038319 -0.0183374 -0.0117494 -0.0192656
0.0038055 0.0025346 -0.0040781 0.0034728 -0.0010410 0.0009660 -0.0084145 -0.0089359
0.0104582 0.0040352 0.0123945 0.0135406 0.0120418 -0.0033247 0.0264583 0.0034278
0.0011945 -0.0051152 0.0226482 -0.0060975 0.0086627 0.0162741 0.0165304 0.0301500
0.0110535 0.0258906 -0.0081864 0.0035787 -0.0145999 -0.0188057 -0.0041103 -0.0370531
0.0169893 0.0202254 0.0143915 0.0257260 0.0362559 -0.0055233 0.0120227 -0.0066627
-0.0071923 -0.0231576 -0.0302525 -0.0415940 -0.0035323 -0.0034838 -0.0008866 -0.0125104
-0.0050637 0.0008978 -0.0247417 0.0028501 -0.0052330 0.0043709 0.0165037 -0.0057239
0.0268555 0.0296069 0.0258105 0.0317789 0.0315630 -0.0304321 0.0101257 0.0105926
0.0149449 0.0184734 -0.0187097 0.0275444 0.0006578 0.0073187 0.0259248 0.0050129
0.0106678 0.0049623 0.0149025 0.0155965 0.0179188 0.0003351 0.0045484 0.0233524
-0.0163532 -0.0183893 -0.0170591 -0.0140371 -0.0148581 0.0311766 -0.0048634 0.0145484
0.0010580 0.0055508 0.0303160 0.0031636 0.0037708 -0.0127564 -0.0089312 0.0143398
-0.0123047 -0.0255306 -0.0185498 -0.0274139 -0.0308675 0.0081493 0.0020402 -0.0081091
-0.0192984 -0.0347523 -0.0173797 -0.0089799 -0.0239300 0.0208631 -0.0108601 0.0010852
0.0277084 0.0438935 0.0466504 0.0368951 0.0252074 -0.0138036 0.0040410 0.0064320
0.0140896 0.0109078 0.0445713 0.0282168 0.0213876 0.0044255 0.0261979 -0.0004308
-0.0021780 -0.0088761 0.0119310 -0.0066241 0.0103876 -0.0250566 -0.0183067 0.0320403
-0.0061717 -0.0052673 -0.0181851 -0.0055967 -0.0053851 0.0310412 0.0203589 0.0096756
0.0131774 0.0298319 0.0213716 0.0112562 0.0183756 -0.0007556 0.0165997 0.0116512
0.0198091 0.0126844 -0.0035872 0.0229726 0.0223942 0.0139315 0.0253999 0.0383671
-0.0163456 -0.0103247 -0.0350000 -0.0361155 -0.0293099 0.0168999 -0.0191412 -0.0464002
-0.0011922 -0.0010264 -0.0275646 0.0028819 -0.0160714 0.0001050 -0.0027878 0.0022712
-0.0032081 -0.0109571 0.0031968 -0.0077832 -0.0021450 0.0025252 0.0036178 0.0127721
-0.0007485 -0.0058853 0.0144467 0.0095340 0.0052912 0.0120638 0.0113060 0.0149840
-0.0231444 -0.0188056 0.0025131 -0.0331137 0.0021381 0.0021974 -0.0132859 0.0034736
-0.0216224 -0.0303459 -0.0292459 -0.0356086 -0.0295420 0.0084080 -0.0397373 -0.0065237
0.0006260 -0.0133489 -0.0146332 0.0029488 -0.0079488 -0.0024705 0.0164160 0.0046904
-0.0018890 0.0109687 0.0036037 0.0218586 -0.0076792 0.0008261 -0.0024327 -0.0245432
0.0560679 0.0649138 0.0584617 0.0519139 0.0647988 -0.0312490 0.0445886 -0.0090934
0.0035843 0.0193401 -0.0047759 0.0154104 -0.0159539 0.0185842 0.0215052 0.0367074
-0.0201635 -0.0199900 -0.0264970 -0.0272522 -0.0275785 0.0083877 -0.0240827 0.0329451
0.0219455 0.0302506 0.0212175 0.0149741 0.0343762 -0.0012477 0.0274553 0.0059278
-0.0390106 -0.0268455 -0.0113328 -0.0512785 -0.0244267 0.0194688 -0.0388102 0.0138996
-0.0715221 -0.0718966 -0.0961580 -0.1054682 -0.0846531 0.0484153 -0.1128580 0.0218587
-0.0163225 -0.0048300 -0.0307652 -0.0215898 -0.0156313 0.0317625 0.0201458 0.0508192
-0.0463937 -0.0660817 -0.0385269 -0.0646226 -0.0516068 0.0533295 -0.0310847 0.0587162
0.0473191 0.0619628 0.0211692 0.0586702 0.0302972 -0.0243703 0.0313270 -0.0137816
-0.0010173 0.0028231 0.0256665 -0.0094052 0.0007738 0.0401831 0.0045742 0.0325126
-0.0163767 -0.0018771 -0.0372957 -0.0140230 -0.0576070 0.0106659 -0.0049178 -0.0138616
0.0537328 0.0660957 0.0129969 0.0595556 0.0441025 -0.0129275 0.0377082 -0.0258439
-0.0656684 -0.0431167 -0.1147296 -0.0856744 -0.0728877 0.0765323 -0.0854930 -0.0922002
-0.0034347 -0.0306560 -0.0217392 -0.0128950 0.0125022 -0.0002483 -0.0140377 -0.0108886
0.0226248 0.0301010 0.0381764 0.0186623 0.0251153 -0.0187066 -0.0199725 0.0070859
0.0592859 0.0760126 0.0864437 0.0861064 0.0641080 -0.0362817 0.0623489 0.0265109
0.0114221 -0.0151255 -0.0184392 -0.0001402 -0.0007676 -0.0071963 0.0324787 -0.0237453
0.0373479 0.0286212 0.0910963 0.0688880 0.0608680 -0.0147620 0.0669609 0.0633149
-0.0242613 -0.0193418 -0.0285376 -0.0188082 -0.0624434 0.0477424 -0.0234482 0.0072516
0.0094037 0.0008654 -0.0097112 -0.0029493 0.0000000 -0.0071255 -0.0051203 0.0182031
-0.0369491 -0.0423511 -0.0551605 -0.0322666 -0.0463322 0.0319061 -0.0315884 -0.0364452
-0.0462374 -0.0454872 -0.0633111 -0.0744650 -0.0597166 0.0122336 -0.0544256 -0.0251760
0.0732337 0.0707264 0.1016620 0.1032720 0.0934341 -0.0154583 0.0594966 0.0392902
0.0095308 0.0070643 -0.0100576 0.0141493 0.0049222 -0.0162677 0.0135357 -0.0201390
-0.0292649 -0.0350430 -0.0469902 -0.0305874 -0.0528996 0.0480681 0.0007218 -0.0671274
0.0394768 0.0222381 0.0356854 0.0367240 0.0365188 -0.0331099 0.0407208 0.0069574
-0.0070417 -0.0035871 -0.0142895 -0.0107311 0.0004038 0.0285014 -0.0052530 -0.0276373
0.0176096 0.0354646 0.0073803 0.0141016 -0.0076719 -0.0207836 0.0003522 0.0342785
0.0088481 0.0064005 0.0279960 0.0213932 0.0091555 0.0181078 0.0151326 0.0131043
0.0241383 0.0273290 0.0531940 0.0243484 0.0469758 -0.0322630 0.0228808 0.0176442
-0.0009851 0.0105402 0.0236831 0.0187865 0.0107839 0.0094028 0.0299951 0.0425742
0.0206341 0.0273177 0.0358830 0.0405167 0.0268625 -0.0104212 0.0204013 -0.0078712
-0.0013376 0.0067692 -0.0218782 -0.0202530 -0.0116886 0.0036028 -0.0204773 -0.0029826
0.0152573 0.0153673 0.0235326 0.0187027 0.0234654 -0.0035050 0.0062550 0.0012565
0.0038119 0.0083554 0.0059185 -0.0018117 0.0115555 0.0078922 -0.0062161 0.0291604
0.0027756 0.0142277 0.0101832 -0.0289206 -0.0068904 -0.0007068 -0.0051028 -0.0341985
0.0018936 0.0023123 -0.0190413 0.0168223 -0.0074859 -0.0100723 0.0011583 0.0002405
0.0243134 0.0248068 0.0068511 0.0171567 0.0211553 -0.0391486 0.0279291 -0.0305325
-0.0046331 0.0063136 -0.0269904 -0.0008020 -0.0131510 0.0159747 -0.0065915 0.0014259
0.0083069 0.0091127 0.0011655 0.0015732 0.0020082 -0.0089218 0.0170266 0.0036525
-0.0072442 0.0025168 -0.0048894 -0.0148538 -0.0340680 0.0089365 -0.0126807 -0.0235011
-0.0189569 -0.0225933 -0.0135702 -0.0250060 -0.0132023 0.0348058 -0.0084540 0.0160445
0.0059066 -0.0077052 0.0040322 0.0084232 0.0215978 0.0019688 0.0250863 -0.0081443
0.0176875 0.0237516 -0.0004724 0.0270543 0.0114123 0.0018794 0.0236722 0.0115332
-0.0241472 -0.0377750 -0.0224535 -0.0399372 -0.0331114 0.0096826 -0.0053121 -0.0118354
-0.0101460 -0.0080371 -0.0336072 -0.0024023 -0.0212360 0.0115115 0.0056546 -0.0370603
-0.0432854 -0.0525083 -0.0670505 -0.0533583 -0.0596170 0.0393306 -0.0656045 0.0064470
0.0181896 0.0207198 -0.0037544 0.0254386 -0.0002077 -0.0064414 0.0272486 -0.0120997
-0.0298258 -0.0267438 -0.0123822 -0.0361668 -0.0322244 0.0585832 -0.0289666 0.0315693
0.0385455 0.0407216 0.0337970 0.0426711 0.0421052 -0.0395054 0.0420646 -0.0175873
0.0130358 0.0042117 0.0279458 0.0032482 0.0204081 0.0095040 0.0045031 0.0200995
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0.0113837 0.0196222 0.0468627 0.0133096 0.0165115 0.0431969 0.0065760 0.0247518
-0.0334964 -0.0359255 -0.0131513 -0.0501462 -0.0119609 -0.0070967 -0.0190358 -0.0011957
-0.0209775 -0.0276203 -0.0157203 -0.0192894 -0.0183486 0.0097722 -0.0207588 -0.0016162
-0.0009392 -0.0227892 -0.0007931 0.0001147 0.0071844 -0.0462141 0.0001184 0.0028179
-0.0012537 -0.0040394 0.0026455 -0.0001719 -0.0037942 -0.0254503 -0.0040222 0.0142294
0.0147739 0.0094636 0.0572559 0.0184675 0.0379341 0.0564484 0.0239933 0.0239920
0.0268502 0.0452754 0.0306963 0.0533281 0.0352267 0.0149268 0.0440785 0.0290714
-0.0065746 0.0060860 0.0104116 -0.0107459 0.0068057 -0.0051523 -0.0059993 0.0029649
0.0247549 0.0480402 0.0136593 0.0245353 0.0083086 0.0048023 0.0271599 -0.0003904
0.0164416 0.0334841 -0.0335697 0.0390864 -0.0025140 0.0024787 0.0153428 -0.0321392
-0.0104523 -0.0211640 -0.0168787 -0.0339104 -0.0105012 -0.0310216 -0.0203622 -0.0005765
-0.0019116 0.0048715 -0.0126896 0.0148180 0.0049526 -0.0097688 -0.0082049 -0.0121136
-0.0267152 -0.0309137 -0.0347783 -0.0290997 -0.0278794 -0.0137721 -0.0405911 -0.0169916
0.0197033 0.0268288 0.0323760 0.0212789 0.0266511 0.0115980 0.0154057 0.0245916
-0.0452262 -0.0371396 -0.0429945 -0.0800001 -0.0314615 0.0363137 -0.0704258 0.0080004
0.0144292 0.0582567 -0.0060782 -0.0280962 -0.0214130 0.0119330 -0.0004871 0.0569391
0.0147696 0.0196861 0.0281839 0.0069724 0.0244121 0.0000000 -0.0110957 -0.0006530
0.0344662 0.0322943 0.0204293 0.0384772 0.0392327 -0.0044922 0.0521751 -0.0023414
-0.0004886 -0.0089739 -0.0017739 -0.0252803 0.0058726 0.0228932 -0.0080095 0.0178474
0.0079914 0.0016350 0.0083778 0.0150670 0.0177926 -0.0317884 -0.0137734 -0.0006971
-0.0006303 -0.0061526 -0.0178752 0.0059487 0.0055995 -0.0064713 0.0163737 -0.0113222
0.0090490 0.0187929 0.0030762 -0.0132913 -0.0001357 0.0197318 0.0149254 0.0029851
-0.0079340 0.0010231 0.0066446 -0.0042808 0.0035315 -0.0122608 -0.0063025 0.0143940
-0.0025204 0.0066276 -0.0213253 -0.0099169 -0.0100162 -0.0059109 -0.0113930 -0.0034675
0.0170801 0.0353199 0.0111544 0.0196271 0.0071097 -0.0304019 -0.0191279 -0.0169691
0.0033443 0.0353332 0.0005131 0.0002271 -0.0206354 -0.0000989 -0.0134448 -0.0148116
0.0188087 0.0179392 0.0138462 0.0333240 0.0070696 0.0115844 0.0327810 0.0007186
0.0046270 -0.0004229 0.0159907 0.0193517 0.0024916 -0.0006863 0.0061540 0.0054680
0.0090719 0.0168970 0.0020070 0.0041615 0.0043345 0.0029435 0.0011871 -0.0008789
#Monthly return to tibble format
monthly_return <- as_tibble(asset_returns_mon_xts)

kbl(monthly_return, caption = "Monthly return of portfilio")%>%
  row_spec(row =0, bold= TRUE, color = "#34495E", background = "#BFC9CA") %>%
  kable_styling(bootstrap_options = "striped", full_width = F, position = "center")
Monthly return of portfilio
SPY QQQ EEM IWM EFA TLT IYR GLD
0.0311949 0.0460387 0.0177633 0.0447509 0.0026678 -0.0034242 0.0545699 0.0327482
0.0608794 0.0771094 0.0811093 0.0823071 0.0638539 -0.0205731 0.0974854 -0.0043864
0.0154704 0.0224254 -0.0016621 0.0567849 -0.0280458 0.0332179 0.0638808 0.0588344
-0.0794548 -0.0739238 -0.0939355 -0.0753664 -0.1119279 0.0510835 -0.0568353 0.0305131
-0.0517411 -0.0597570 -0.0139867 -0.0774341 -0.0206195 0.0579779 -0.0467012 0.0235532
0.0683009 0.0725826 0.1093249 0.0673090 0.1161042 -0.0094636 0.0940476 -0.0508712
-0.0449805 -0.0512986 -0.0323673 -0.0744386 -0.0379503 0.0839096 -0.0129717 0.0570613
0.0895546 0.1317283 0.1175736 0.1244530 0.0997194 -0.0252032 0.0462964 0.0477556
0.0382019 0.0633786 0.0301546 0.0414816 0.0380557 -0.0446929 0.0393347 0.0368227
0.0000000 -0.0017249 -0.0290550 0.0348508 -0.0482371 -0.0168932 -0.0158297 0.0211130
0.0668524 0.0475712 0.0727783 0.0803332 0.0830807 -0.0369906 0.0457407 0.0243687
0.0233004 0.0282774 -0.0384132 -0.0037065 0.0209548 -0.0308120 0.0357396 -0.0637976
0.0347372 0.0316072 -0.0004368 0.0554203 0.0354978 0.0165021 0.0452038 0.0599831
0.0001200 -0.0044826 0.0628957 0.0252308 -0.0238829 0.0002932 -0.0109350 0.0159814
0.0289617 0.0287305 0.0273270 0.0263753 0.0562585 0.0233913 0.0466333 0.0894465
-0.0112148 -0.0121868 -0.0293999 -0.0179421 -0.0220610 0.0342285 0.0101334 -0.0179169
-0.0168697 -0.0202548 -0.0093551 -0.0240454 -0.0121078 -0.0232312 -0.0310599 -0.0243250
-0.0200048 0.0166521 -0.0102939 -0.0340610 -0.0237777 0.0441454 0.0021561 0.0841780
-0.0549755 -0.0506898 -0.0925491 -0.0889149 -0.0875489 0.0966755 -0.0531193 0.1227494
-0.0694205 -0.0449081 -0.1789475 -0.1115026 -0.1080832 0.1320612 -0.1066822 -0.1106235
0.1091468 0.1040200 0.1626776 0.1510108 0.0962747 -0.0382930 0.1318964 0.0587119
-0.0040636 -0.0269200 -0.0196030 -0.0037834 -0.0217639 0.0198912 -0.0366878 0.0166727
0.0104484 -0.0061416 -0.0426481 0.0051508 -0.0217494 0.0344495 0.0410742 -0.1066243
0.0463745 0.0841837 0.1099108 0.0714570 0.0526957 -0.0032994 0.0660092 0.1139548
0.0434055 0.0641006 0.0527188 0.0256896 0.0483311 -0.0259698 -0.0069352 -0.0296498
0.0321638 0.0505306 -0.0311300 0.0248480 0.0042079 -0.0423604 0.0449299 -0.0132083
-0.0066756 -0.0116952 -0.0169962 -0.0161820 -0.0207688 0.0483425 0.0258426 -0.0014803
-0.0600561 -0.0704011 -0.1070584 -0.0657910 -0.1114419 0.0902537 -0.0420906 -0.0633803
0.0405813 0.0362143 0.0503536 0.0505208 0.0704331 -0.0167824 0.0536527 0.0235458
0.0118295 0.0099750 -0.0002556 -0.0152085 0.0008008 0.0381728 0.0233031 0.0083768
0.0250525 0.0518518 0.0040900 0.0353539 0.0320000 -0.0131885 0.0030569 0.0493961
0.0253512 0.0088843 0.0521895 0.0326096 0.0271319 -0.0253276 -0.0111773 0.0467056
-0.0181984 -0.0527928 -0.0043550 -0.0216923 0.0109433 -0.0048402 -0.0059022 -0.0294374
0.0056599 0.0130869 0.0155525 0.0055125 0.0278087 0.0115923 -0.0057814 -0.0046754
0.0089344 -0.0046693 0.0680363 0.0361885 0.0438116 -0.0248772 0.0288548 -0.0242698
0.0511902 0.0267160 -0.0029313 0.0623814 0.0372847 -0.0318533 0.0402042 -0.0050611
0.0127588 0.0034392 -0.0228404 0.0100468 -0.0128858 0.0123865 0.0126357 -0.0508685
0.0379711 0.0302476 -0.0101828 0.0465902 0.0130540 -0.0041944 0.0286498 0.0094771
0.0192124 0.0253736 0.0121583 -0.0034940 0.0501865 0.0468496 0.0572826 -0.0756231
0.0236098 0.0357752 -0.0482792 0.0393195 -0.0301906 -0.0676094 -0.0649335 -0.0619879
-0.0133446 -0.0239529 -0.0532576 -0.0081800 -0.0267793 -0.0327131 -0.0238270 -0.1105884
0.0516769 0.0631400 0.0132466 0.0733419 0.0532287 -0.0225799 0.0024085 0.0743011
-0.0299921 -0.0039590 -0.0253782 -0.0316420 -0.0195526 -0.0134037 -0.0653251 0.0520475
0.0316464 0.0483217 0.0720675 0.0648914 0.0782491 0.0065171 0.0345019 -0.0478384
0.0463066 0.0495691 0.0417078 0.0242004 0.0326019 0.0143047 0.0373097 -0.0034326
0.0296380 0.0355115 -0.0025908 0.0395642 0.0054645 -0.0270326 -0.0463958 -0.0551120
0.0259264 0.0292712 -0.0040662 0.0202108 0.0217613 -0.0186966 0.0090471 -0.0379453
-0.0352484 -0.0192136 -0.0863633 -0.0277392 -0.0520118 0.0630272 0.0344009 0.0341887
0.0455159 0.0515244 0.0337785 0.0477890 0.0613111 0.0052408 0.0475096 0.0627030
0.0082955 -0.0273357 0.0387533 -0.0074847 -0.0045919 0.0073220 0.0014517 -0.0314214
0.0069512 -0.0031939 0.0078034 -0.0374765 0.0166667 0.0209522 0.0302943 0.0049349
0.0232065 0.0448565 0.0295184 0.0078586 0.0159544 0.0294950 0.0279689 -0.0305104
0.0206451 0.0312383 0.0240180 0.0527203 0.0092075 -0.0025131 0.0101261 0.0631902
-0.0134378 0.0118196 0.0136479 -0.0605433 -0.0260348 0.0066418 -0.0011144 -0.0363167
0.0394636 0.0500945 0.0282976 0.0482957 0.0018020 0.0472377 0.0347230 0.0038091
-0.0137964 -0.0075661 -0.0776742 -0.0592790 -0.0388245 -0.0211234 -0.0589060 -0.0617633
0.0235508 0.0264199 0.0141962 0.0659348 -0.0026513 0.0281859 0.0835264 -0.0305481
0.0274721 0.0454633 -0.0154211 0.0011154 0.0006254 0.0296739 0.0272072 -0.0048820
-0.0025361 -0.0224064 -0.0396354 0.0289295 -0.0399277 0.0325131 0.0080497 0.0131121
-0.0296294 -0.0208232 -0.0068718 -0.0327707 0.0062460 0.0981576 0.0571320 0.0868991
0.0562041 0.0722058 0.0440797 0.0594640 0.0633780 -0.0613833 -0.0259755 -0.0590522
-0.0157054 -0.0235897 -0.0149728 0.0177000 -0.0142858 0.0109221 0.0107451 -0.0215220
0.0098338 0.0192234 0.0685271 -0.0256493 0.0364657 -0.0342517 -0.0481599 -0.0016717
0.0128562 0.0224847 -0.0410449 0.0223636 0.0019548 -0.0237246 -0.0033108 0.0055521
-0.0203119 -0.0248410 -0.0293085 0.0078296 -0.0311824 -0.0407198 -0.0439793 -0.0151621
0.0225892 0.0455778 -0.0630994 -0.0110395 0.0203180 0.0454598 0.0495089 -0.0662099
-0.0609504 -0.0682449 -0.0883621 -0.0631099 -0.0742512 -0.0068947 -0.0581319 0.0370723
-0.0255159 -0.0220728 -0.0313238 -0.0493633 -0.0441887 0.0196683 0.0161537 -0.0180114
0.0850599 0.1136987 0.0637583 0.0562269 0.0661200 -0.0040878 0.0621567 0.0228336
0.0036552 0.0060884 -0.0252365 0.0325995 -0.0075275 -0.0086764 -0.0019908 -0.0675206
-0.0172827 -0.0159477 -0.0381983 -0.0503040 -0.0233187 -0.0029723 0.0110531 -0.0045133
-0.0497865 -0.0691044 -0.0503263 -0.0857751 -0.0551773 0.0557308 -0.0410230 0.0541100
-0.0008260 -0.0156535 -0.0081780 -0.0022339 -0.0333453 0.0308593 -0.0075001 0.1093034
0.0672658 0.0685261 0.1296177 0.0801342 0.0658213 -0.0009327 0.1025512 -0.0084289
0.0039414 -0.0318681 0.0040876 0.0167227 0.0222182 -0.0073651 -0.0166966 0.0510881
0.0170115 0.0437003 -0.0369295 0.0224039 -0.0008555 0.0080545 0.0220742 -0.0613830
0.0034757 -0.0227803 0.0455912 -0.0001739 -0.0241943 0.0693414 0.0624317 0.0896950
0.0364714 0.0715084 0.0538417 0.0587487 0.0397708 0.0210252 0.0365332 0.0198466
0.0011975 0.0105007 0.0088375 0.0178412 0.0053410 -0.0101351 -0.0334897 -0.0325632
0.0000578 0.0221356 0.0251843 0.0107383 0.0133676 -0.0150838 -0.0147268 0.0068921
-0.0173369 -0.0145724 -0.0082773 -0.0459706 -0.0221546 -0.0438062 -0.0496034 -0.0294492
0.0368383 0.0043594 -0.0441572 0.1106329 -0.0178137 -0.0821372 -0.0233560 -0.0835657
0.0202718 0.0113223 -0.0025270 0.0288446 0.0270625 -0.0046263 0.0423405 -0.0191499
0.0178949 0.0514012 0.0665526 0.0028178 0.0329119 0.0081426 0.0012999 0.0541922
0.0392915 0.0437507 0.0174076 0.0193004 0.0119066 0.0158459 0.0437432 0.0318477
0.0012498 0.0202682 0.0368519 0.0002604 0.0323169 -0.0065512 -0.0145296 -0.0042775
0.0099263 0.0272704 0.0170094 0.0114927 0.0242413 0.0157318 0.0056056 0.0172675
0.0141129 0.0389733 0.0284572 -0.0197036 0.0354233 0.0188790 -0.0011400 -0.0012420
0.0063749 -0.0231795 0.0092664 0.0337441 0.0029604 0.0079188 0.0207999 -0.0215553
0.0205543 0.0406133 0.0582266 0.0085244 0.0265339 -0.0065832 0.0111572 0.0231317
0.0029176 0.0207359 0.0235162 -0.0125784 -0.0004485 0.0340870 0.0066946 0.0419876
0.0201494 -0.0029523 -0.0004461 0.0630411 0.0236176 -0.0232294 -0.0078509 -0.0336989
0.0235642 0.0460639 0.0328049 0.0072883 0.0167932 -0.0003856 0.0005011 -0.0074848
0.0305657 0.0197173 -0.0038892 0.0294120 0.0068934 0.0074322 0.0256506 0.0035634
0.0121282 0.0060311 0.0376155 -0.0039851 0.0134885 0.0181257 -0.0012327 0.0210570
0.0563590 0.0875705 0.0829796 0.0255804 0.0502063 -0.0325552 -0.0302432 0.0323494
-0.0363606 -0.0129278 -0.0589850 -0.0384369 -0.0483477 -0.0304144 -0.0665732 -0.0207599
-0.0274105 -0.0407882 0.0054145 0.0121755 -0.0083961 0.0285961 0.0377195 0.0063200
0.0051682 0.0050582 -0.0281691 0.0098137 0.0152123 -0.0208812 0.0022524 -0.0095397
0.0243090 0.0567292 -0.0262147 0.0616356 -0.0189425 0.0200442 0.0337124 -0.0119592
0.0057510 0.0114505 -0.0454569 0.0061437 -0.0158411 0.0064577 0.0405946 -0.0361494
0.0370464 0.0279641 0.0353105 0.0164904 0.0285204 -0.0143686 0.0083148 -0.0224189
0.0319198 0.0578067 -0.0376728 0.0431061 -0.0223577 0.0131204 0.0237539 -0.0213811
0.0059458 -0.0028165 -0.0057911 -0.0232500 0.0096525 -0.0286431 -0.0285341 -0.0066073
-0.0691045 -0.0859573 -0.0876051 -0.1098784 -0.0813356 -0.0293055 -0.0238690 0.0211955
0.0185493 -0.0026498 0.0490298 0.0172631 0.0049632 0.0178723 0.0469849 0.0033869
-0.0880486 -0.0866072 -0.0348888 -0.1197214 -0.0534975 0.0585352 -0.0782228 0.0494201
0.0800657 0.0901077 0.1034305 0.1132190 0.0663491 0.0037856 0.1147587 0.0288660
0.0324161 0.0299119 -0.0153132 0.0517911 0.0253667 -0.0137639 0.0073019 -0.0060922
0.0181003 0.0392459 0.0113102 -0.0209330 0.0091802 0.0557167 0.0417091 -0.0159690
0.0408523 0.0549927 0.0235320 0.0339668 0.0292938 -0.0199110 -0.0004597 -0.0066388
-0.0637710 -0.0822517 -0.0732985 -0.0785266 -0.0503295 0.0683926 -0.0014942 0.0175743
0.0695862 0.0759004 0.0620777 0.0698489 0.0591166 0.0095011 0.0127906 0.0800291
0.0151195 0.0233480 -0.0265675 0.0068166 -0.0194737 0.0025648 0.0238233 0.0000751
-0.0167432 -0.0189954 -0.0378260 -0.0493103 -0.0192397 0.1104921 0.0343439 0.0791231
0.0194578 0.0091790 0.0169196 0.0203707 0.0316405 -0.0267994 0.0189003 -0.0339479
0.0221045 0.0438007 0.0418400 0.0271574 0.0338905 -0.0111318 0.0076974 0.0256355
0.0361984 0.0406940 -0.0009394 0.0406564 0.0112727 -0.0040718 -0.0112458 -0.0320859
0.0290554 0.0388637 0.0773027 0.0278651 0.0299541 -0.0319748 0.0085756 0.0365588
-0.0004038 0.0303844 -0.0615110 -0.0310254 -0.0282259 0.0769117 0.0160079 0.0449966
-0.0791658 -0.0605744 -0.0377582 -0.0884571 -0.0776527 0.0662649 -0.0758171 -0.0063617
-0.1248712 -0.0728585 -0.1577000 -0.2147709 -0.1410668 0.0637665 -0.1963242 -0.0022240
0.1269833 0.1497376 0.0735424 0.1384764 0.0581743 0.0121900 0.0931437 0.0726106
0.0476453 0.0660087 0.0297489 0.0659196 0.0542691 -0.0176195 0.0180144 0.0258816
0.0177347 0.0628668 0.0660491 0.0342994 0.0351118 0.0033661 0.0247161 0.0273770
0.0588923 0.0734651 0.0825205 0.0291939 0.0193856 0.0443517 0.0412386 0.1079046
0.0697966 0.1094474 0.0288752 0.0547640 0.0472201 -0.0504657 0.0023153 -0.0032357
-0.0374437 -0.0577863 -0.0101033 -0.0326131 -0.0204679 0.0077346 -0.0234139 -0.0417140
-0.0249336 -0.0304491 0.0140622 0.0220308 -0.0355067 -0.0338522 -0.0291834 -0.0051942
0.1087768 0.1122578 0.0899127 0.1824417 0.1426945 0.0166390 0.0857955 -0.0540863
0.0370485 0.0490243 0.0712945 0.0864646 0.0501538 -0.0122764 0.0250340 0.0701386
-0.0101904 0.0026136 0.0317400 0.0484544 -0.0078125 -0.0363282 -0.0043200 -0.0322382
0.0278054 -0.0013351 0.0078785 0.0620258 0.0223791 -0.0573293 0.0242730 -0.0625688
0.0453993 0.0171677 -0.0072585 0.0139504 0.0251316 -0.0524529 0.0577406 -0.0114331
0.0529104 0.0590981 0.0119985 0.0178781 0.0295239 0.0249513 0.0788558 0.0356339
0.0065661 -0.0120122 0.0164876 0.0027123 0.0348228 0.0000217 0.0100817 0.0767838
0.0224274 0.0626214 0.0095041 0.0186899 -0.0107801 0.0441910 0.0225841 -0.0714766
0.0244126 0.0286091 -0.0643700 -0.0362733 0.0077332 0.0371663 0.0468902 0.0252974
0.0297598 0.0421870 0.0156977 0.0220312 0.0144672 -0.0034017 0.0193966 -0.0007655
-0.0466055 -0.0568315 -0.0387331 -0.0288036 -0.0326139 -0.0290700 -0.0562687 -0.0322353
0.0701634 0.0786399 0.0107186 0.0425143 0.0317907 0.0246503 0.0727610 0.0147972
-0.0080348 0.0199685 -0.0408485 -0.0433237 -0.0453473 0.0277146 -0.0241260 -0.0069007
0.0462477 0.0115234 0.0150708 0.0227149 0.0439094 -0.0201376 0.0946916 0.0329910
-0.0527412 -0.0874701 -0.0002048 -0.0953472 -0.0363497 -0.0391394 -0.0823143 -0.0167876
-0.0295170 -0.0447598 -0.0432023 0.0103359 -0.0342919 -0.0163299 -0.0458811 0.0612173
0.0375904 0.0466789 -0.0338112 0.0115752 0.0051898 -0.0544438 0.0686461 0.0127256
-0.0877691 -0.1359574 -0.0613510 -0.0989916 -0.0673914 -0.0942385 -0.0413048 -0.0207030
0.0022574 -0.0158659 0.0061349 0.0019465 0.0199594 -0.0225332 -0.0444337 -0.0326155
-0.0824605 -0.0890789 -0.0515766 -0.0836635 -0.0876664 -0.0127456 -0.0689109 -0.0156597
0.0920874 0.1255174 -0.0034913 0.1056330 0.0516882 0.0243102 0.0886061 -0.0258815
-0.0408020 -0.0513219 -0.0132633 -0.0200268 -0.0611686 -0.0455310 -0.0586237 -0.0294333
-0.0924458 -0.1053553 -0.1153943 -0.0966044 -0.0922205 -0.0823510 -0.1271344 -0.0288818
0.0812755 0.0399984 -0.0197822 0.1116299 0.0589181 -0.0596441 0.0315648 -0.0178444
0.0555916 0.0554416 0.1558936 0.0220367 0.1316809 0.0715105 0.0616740 0.0849187
-0.0576282 -0.0901367 -0.0263750 -0.0651412 -0.0181290 -0.0262004 -0.0473349 0.0293065
0.0628874 0.1064292 0.0912928 0.0981875 0.0900365 0.0764363 0.0997743 0.0575926
-0.0251427 -0.0035978 -0.0756770 -0.0172341 -0.0307478 -0.0485055 -0.0596176 -0.0536760
0.0370778 0.0949272 0.0321737 -0.0484734 0.0312905 0.0483935 -0.0193699 0.0791613
0.0159749 0.0050790 -0.0083629 -0.0179372 0.0293626 0.0033835 0.0091872 0.0086235
0.0046162 0.0788380 -0.0240225 -0.0081620 -0.0400707 -0.0301529 -0.0402660 -0.0134199
0.0381715 0.0359206 0.0540167 0.0721904 0.0350460 -0.0048385 0.0305016 -0.0024134

#Question 4: Download Fama French 3 factors data and change to digit numbers (not in percetage)

Fama_French <- read_csv("F-F_Research_Data_Factors.CSV")
## New names:
## • `` -> `...1`
## Warning: One or more parsing issues, call `problems()` on your data frame for details,
## e.g.:
##   dat <- vroom(...)
##   problems(dat)
## Rows: 1261 Columns: 5
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (1): ...1
## dbl (4): Mkt-RF, SMB, HML, RF
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
show_col_types = FALSE
#Change to digit numbers
Fama_French <- Fama_French %>% mutate(`Mkt-RF` = `Mkt-RF`/100) %>% mutate(SMB = SMB/100) %>% mutate(HML= HML/100)%>% mutate(RF= RF/100)

#Digit numbers data
head(Fama_French)
## # A tibble: 6 × 5
##   ...1   `Mkt-RF`     SMB     HML     RF
##   <chr>     <dbl>   <dbl>   <dbl>  <dbl>
## 1 192607   0.0296 -0.0256 -0.0243 0.0022
## 2 192608   0.0264 -0.0117  0.0382 0.0025
## 3 192609   0.0036 -0.014   0.0013 0.0023
## 4 192610  -0.0324 -0.0009  0.007  0.0032
## 5 192611   0.0253 -0.001  -0.0051 0.0031
## 6 192612   0.0262 -0.0003 -0.0005 0.0028

#Question 5: Merge monthly return data in question 3 and 4 into tibble format.

#Convert Fama_French date
colnames(Fama_French) <- c("Date", "Market_Premium","SMB","HML","RF")
Fama_French$Date <- format(as.Date(paste(Fama_French$Date,"01",sep=""),"%Y%m%d"),"%m/%Y")

#Include date in monthly return data
monthly_price <- prices_monthly %>% fortify.zoo %>% as_tibble()
monthly_price_161 <- monthly_price[-162,]
monthly_return <- monthly_return %>% mutate(Date= monthly_price_161$Index)
monthly_return$Date <- format(monthly_return$Date,"%m/%Y")

#Merge 
merge_data <- left_join(Fama_French, monthly_return, by= "Date")
merge_data <- as_tibble(merge_data)

kbl(merge_data, caption = "Portfolio Returns and Fama French Factors")%>%
  row_spec(row =0, bold= TRUE, color = "#34495E", background = "#BFC9CA") %>%
  kable_styling(bootstrap_options = "striped", full_width = F, position = "center")
Portfolio Returns and Fama French Factors
Date Market_Premium SMB HML RF SPY QQQ EEM IWM EFA TLT IYR GLD
07/1926 0.0296 -0.0256 -0.0243 0.0022 NA NA NA NA NA NA NA NA
08/1926 0.0264 -0.0117 0.0382 0.0025 NA NA NA NA NA NA NA NA
09/1926 0.0036 -0.0140 0.0013 0.0023 NA NA NA NA NA NA NA NA
10/1926 -0.0324 -0.0009 0.0070 0.0032 NA NA NA NA NA NA NA NA
11/1926 0.0253 -0.0010 -0.0051 0.0031 NA NA NA NA NA NA NA NA
12/1926 0.0262 -0.0003 -0.0005 0.0028 NA NA NA NA NA NA NA NA
01/1927 -0.0006 -0.0037 0.0454 0.0025 NA NA NA NA NA NA NA NA
02/1927 0.0418 0.0004 0.0294 0.0026 NA NA NA NA NA NA NA NA
03/1927 0.0013 -0.0165 -0.0261 0.0030 NA NA NA NA NA NA NA NA
04/1927 0.0046 0.0030 0.0081 0.0025 NA NA NA NA NA NA NA NA
05/1927 0.0544 0.0153 0.0473 0.0030 NA NA NA NA NA NA NA NA
06/1927 -0.0234 0.0059 -0.0173 0.0026 NA NA NA NA NA NA NA NA
07/1927 0.0726 -0.0325 -0.0114 0.0030 NA NA NA NA NA NA NA NA
08/1927 0.0197 -0.0069 -0.0374 0.0028 NA NA NA NA NA NA NA NA
09/1927 0.0476 -0.0363 -0.0063 0.0021 NA NA NA NA NA NA NA NA
10/1927 -0.0431 0.0212 -0.0433 0.0025 NA NA NA NA NA NA NA NA
11/1927 0.0658 0.0272 -0.0027 0.0021 NA NA NA NA NA NA NA NA
12/1927 0.0209 0.0097 -0.0113 0.0022 NA NA NA NA NA NA NA NA
01/1928 -0.0068 0.0426 -0.0075 0.0025 NA NA NA NA NA NA NA NA
02/1928 -0.0170 -0.0206 -0.0065 0.0033 NA NA NA NA NA NA NA NA
03/1928 0.0881 -0.0026 -0.0122 0.0029 NA NA NA NA NA NA NA NA
04/1928 0.0423 0.0398 0.0344 0.0022 NA NA NA NA NA NA NA NA
05/1928 0.0152 0.0285 -0.0327 0.0032 NA NA NA NA NA NA NA NA
06/1928 -0.0485 -0.0352 -0.0003 0.0031 NA NA NA NA NA NA NA NA
07/1928 0.0062 -0.0132 -0.0050 0.0032 NA NA NA NA NA NA NA NA
08/1928 0.0668 -0.0206 -0.0215 0.0032 NA NA NA NA NA NA NA NA
09/1928 0.0288 0.0241 0.0086 0.0027 NA NA NA NA NA NA NA NA
10/1928 0.0133 0.0222 -0.0216 0.0041 NA NA NA NA NA NA NA NA
11/1928 0.1181 -0.0178 0.0270 0.0038 NA NA NA NA NA NA NA NA
12/1928 0.0036 -0.0086 -0.0065 0.0006 NA NA NA NA NA NA NA NA
01/1929 0.0466 -0.0356 -0.0124 0.0034 NA NA NA NA NA NA NA NA
02/1929 -0.0034 -0.0038 0.0166 0.0036 NA NA NA NA NA NA NA NA
03/1929 -0.0089 -0.0471 0.0158 0.0034 NA NA NA NA NA NA NA NA
04/1929 0.0143 -0.0097 0.0059 0.0036 NA NA NA NA NA NA NA NA
05/1929 -0.0639 -0.0537 -0.0142 0.0044 NA NA NA NA NA NA NA NA
06/1929 0.0970 -0.0217 -0.0279 0.0052 NA NA NA NA NA NA NA NA
07/1929 0.0446 -0.0388 0.0271 0.0033 NA NA NA NA NA NA NA NA
08/1929 0.0818 -0.0959 0.0013 0.0040 NA NA NA NA NA NA NA NA
09/1929 -0.0547 0.0119 -0.0065 0.0035 NA NA NA NA NA NA NA NA
10/1929 -0.2012 -0.0401 0.0778 0.0046 NA NA NA NA NA NA NA NA
11/1929 -0.1274 -0.0172 0.0505 0.0037 NA NA NA NA NA NA NA NA
12/1929 0.0133 -0.0450 -0.0054 0.0037 NA NA NA NA NA NA NA NA
01/1930 0.0561 0.0355 -0.0096 0.0014 NA NA NA NA NA NA NA NA
02/1930 0.0250 0.0019 0.0020 0.0030 NA NA NA NA NA NA NA NA
03/1930 0.0710 0.0341 0.0033 0.0035 NA NA NA NA NA NA NA NA
04/1930 -0.0206 -0.0035 -0.0035 0.0021 NA NA NA NA NA NA NA NA
05/1930 -0.0166 -0.0201 -0.0073 0.0026 NA NA NA NA NA NA NA NA
06/1930 -0.1627 -0.0338 0.0233 0.0027 NA NA NA NA NA NA NA NA
07/1930 0.0412 -0.0028 -0.0175 0.0020 NA NA NA NA NA NA NA NA
08/1930 0.0030 -0.0210 -0.0061 0.0009 NA NA NA NA NA NA NA NA
09/1930 -0.1275 -0.0221 -0.0496 0.0022 NA NA NA NA NA NA NA NA
10/1930 -0.0878 -0.0012 -0.0138 0.0009 NA NA NA NA NA NA NA NA
11/1930 -0.0304 0.0223 -0.0366 0.0013 NA NA NA NA NA NA NA NA
12/1930 -0.0783 -0.0460 -0.0525 0.0014 NA NA NA NA NA NA NA NA
01/1931 0.0624 0.0345 0.0712 0.0015 NA NA NA NA NA NA NA NA
02/1931 0.1088 0.0359 0.0192 0.0004 NA NA NA NA NA NA NA NA
03/1931 -0.0643 0.0298 -0.0344 0.0013 NA NA NA NA NA NA NA NA
04/1931 -0.0998 -0.0445 -0.0382 0.0008 NA NA NA NA NA NA NA NA
05/1931 -0.1324 0.0535 -0.0657 0.0009 NA NA NA NA NA NA NA NA
06/1931 0.1390 -0.0532 0.1129 0.0008 NA NA NA NA NA NA NA NA
07/1931 -0.0662 0.0142 -0.0211 0.0006 NA NA NA NA NA NA NA NA
08/1931 0.0041 -0.0195 -0.0147 0.0003 NA NA NA NA NA NA NA NA
09/1931 -0.2913 0.0054 -0.0677 0.0003 NA NA NA NA NA NA NA NA
10/1931 0.0804 -0.0187 0.0170 0.0010 NA NA NA NA NA NA NA NA
11/1931 -0.0908 0.0431 -0.0504 0.0017 NA NA NA NA NA NA NA NA
12/1931 -0.1353 -0.0055 -0.0885 0.0012 NA NA NA NA NA NA NA NA
01/1932 -0.0158 0.0393 0.0903 0.0023 NA NA NA NA NA NA NA NA
02/1932 0.0546 -0.0278 -0.0146 0.0023 NA NA NA NA NA NA NA NA
03/1932 -0.1121 0.0227 -0.0232 0.0016 NA NA NA NA NA NA NA NA
04/1932 -0.1796 0.0145 0.0143 0.0011 NA NA NA NA NA NA NA NA
05/1932 -0.2051 0.0391 -0.0298 0.0006 NA NA NA NA NA NA NA NA
06/1932 -0.0070 0.0033 0.0530 0.0002 NA NA NA NA NA NA NA NA
07/1932 0.3384 -0.0459 0.3561 0.0003 NA NA NA NA NA NA NA NA
08/1932 0.3706 0.1341 0.3424 0.0003 NA NA NA NA NA NA NA NA
09/1932 -0.0294 -0.0208 -0.0736 0.0003 NA NA NA NA NA NA NA NA
10/1932 -0.1317 -0.0256 -0.1033 0.0002 NA NA NA NA NA NA NA NA
11/1932 -0.0588 0.0200 -0.1311 0.0002 NA NA NA NA NA NA NA NA
12/1932 0.0440 -0.0864 -0.0772 0.0001 NA NA NA NA NA NA NA NA
01/1933 0.0125 0.0063 0.0636 0.0001 NA NA NA NA NA NA NA NA
02/1933 -0.1524 -0.0258 -0.0295 -0.0003 NA NA NA NA NA NA NA NA
03/1933 0.0329 0.0379 0.0754 0.0004 NA NA NA NA NA NA NA NA
04/1933 0.3885 0.0307 0.1965 0.0010 NA NA NA NA NA NA NA NA
05/1933 0.2143 0.3656 0.1919 0.0004 NA NA NA NA NA NA NA NA
06/1933 0.1311 0.0842 -0.0178 0.0002 NA NA NA NA NA NA NA NA
07/1933 -0.0963 -0.0105 0.0327 0.0002 NA NA NA NA NA NA NA NA
08/1933 0.1205 -0.0539 0.0300 0.0003 NA NA NA NA NA NA NA NA
09/1933 -0.1065 -0.0040 -0.1174 0.0002 NA NA NA NA NA NA NA NA
10/1933 -0.0836 -0.0020 -0.0857 0.0001 NA NA NA NA NA NA NA NA
11/1933 0.0997 -0.0647 0.0232 0.0002 NA NA NA NA NA NA NA NA
12/1933 0.0183 0.0063 -0.0156 0.0002 NA NA NA NA NA NA NA NA
01/1934 0.1260 0.1269 0.1559 0.0005 NA NA NA NA NA NA NA NA
02/1934 -0.0250 0.0510 0.0200 0.0002 NA NA NA NA NA NA NA NA
03/1934 0.0009 0.0251 -0.0270 0.0002 NA NA NA NA NA NA NA NA
04/1934 -0.0179 0.0273 -0.0373 0.0001 NA NA NA NA NA NA NA NA
05/1934 -0.0725 -0.0029 -0.0589 0.0001 NA NA NA NA NA NA NA NA
06/1934 0.0264 -0.0223 -0.0296 0.0001 NA NA NA NA NA NA NA NA
07/1934 -0.1096 -0.0695 -0.1070 0.0001 NA NA NA NA NA NA NA NA
08/1934 0.0558 0.0537 0.0009 0.0001 NA NA NA NA NA NA NA NA
09/1934 -0.0023 -0.0152 -0.0120 0.0001 NA NA NA NA NA NA NA NA
10/1934 -0.0166 0.0124 -0.0508 0.0001 NA NA NA NA NA NA NA NA
11/1934 0.0833 0.0648 -0.0215 0.0001 NA NA NA NA NA NA NA NA
12/1934 0.0036 0.0306 -0.0314 0.0001 NA NA NA NA NA NA NA NA
01/1935 -0.0345 0.0107 -0.0190 0.0001 NA NA NA NA NA NA NA NA
02/1935 -0.0194 0.0037 -0.0744 0.0002 NA NA NA NA NA NA NA NA
03/1935 -0.0368 -0.0359 -0.0512 0.0001 NA NA NA NA NA NA NA NA
04/1935 0.0906 -0.0147 0.0447 0.0001 NA NA NA NA NA NA NA NA
05/1935 0.0347 -0.0334 0.0265 0.0001 NA NA NA NA NA NA NA NA
06/1935 0.0593 -0.0257 -0.0169 0.0001 NA NA NA NA NA NA NA NA
07/1935 0.0751 0.0188 0.0693 0.0001 NA NA NA NA NA NA NA NA
08/1935 0.0265 0.0620 0.0608 0.0001 NA NA NA NA NA NA NA NA
09/1935 0.0263 0.0153 -0.0407 0.0001 NA NA NA NA NA NA NA NA
10/1935 0.0703 0.0272 -0.0237 0.0001 NA NA NA NA NA NA NA NA
11/1935 0.0488 0.0454 0.1206 0.0002 NA NA NA NA NA NA NA NA
12/1935 0.0456 0.0017 0.0095 0.0001 NA NA NA NA NA NA NA NA
01/1936 0.0689 0.0523 0.1034 0.0001 NA NA NA NA NA NA NA NA
02/1936 0.0249 0.0095 0.0451 0.0001 NA NA NA NA NA NA NA NA
03/1936 0.0099 0.0069 -0.0144 0.0002 NA NA NA NA NA NA NA NA
04/1936 -0.0814 -0.0606 -0.0215 0.0002 NA NA NA NA NA NA NA NA
05/1936 0.0519 0.0091 0.0261 0.0002 NA NA NA NA NA NA NA NA
06/1936 0.0240 -0.0320 -0.0120 0.0003 NA NA NA NA NA NA NA NA
07/1936 0.0667 0.0100 0.0240 0.0001 NA NA NA NA NA NA NA NA
08/1936 0.0099 0.0060 0.0382 0.0002 NA NA NA NA NA NA NA NA
09/1936 0.0098 0.0308 0.0090 0.0001 NA NA NA NA NA NA NA NA
10/1936 0.0712 -0.0243 0.0247 0.0002 NA NA NA NA NA NA NA NA
11/1936 0.0327 0.0877 -0.0121 0.0001 NA NA NA NA NA NA NA NA
12/1936 0.0021 0.0396 0.0430 0.0000 NA NA NA NA NA NA NA NA
01/1937 0.0335 0.0434 0.0261 0.0001 NA NA NA NA NA NA NA NA
02/1937 0.0109 0.0105 0.0483 0.0002 NA NA NA NA NA NA NA NA
03/1937 -0.0027 -0.0169 0.0650 0.0001 NA NA NA NA NA NA NA NA
04/1937 -0.0736 -0.0383 -0.0366 0.0003 NA NA NA NA NA NA NA NA
05/1937 -0.0083 -0.0068 -0.0348 0.0006 NA NA NA NA NA NA NA NA
06/1937 -0.0421 -0.0376 -0.0333 0.0003 NA NA NA NA NA NA NA NA
07/1937 0.0891 0.0089 0.0081 0.0003 NA NA NA NA NA NA NA NA
08/1937 -0.0486 0.0044 -0.0225 0.0002 NA NA NA NA NA NA NA NA
09/1937 -0.1361 -0.0698 -0.0457 0.0004 NA NA NA NA NA NA NA NA
10/1937 -0.0961 0.0041 -0.0155 0.0002 NA NA NA NA NA NA NA NA
11/1937 -0.0831 -0.0360 0.0015 0.0002 NA NA NA NA NA NA NA NA
12/1937 -0.0424 -0.0774 -0.0040 0.0000 NA NA NA NA NA NA NA NA
01/1938 0.0049 0.0484 -0.0161 0.0000 NA NA NA NA NA NA NA NA
02/1938 0.0584 0.0040 -0.0202 0.0000 NA NA NA NA NA NA NA NA
03/1938 -0.2382 -0.0434 -0.0354 -0.0001 NA NA NA NA NA NA NA NA
04/1938 0.1451 0.0646 0.0023 0.0001 NA NA NA NA NA NA NA NA
05/1938 -0.0383 -0.0251 -0.0027 0.0000 NA NA NA NA NA NA NA NA
06/1938 0.2387 0.0430 0.0032 0.0000 NA NA NA NA NA NA NA NA
07/1938 0.0734 0.0664 0.0220 -0.0001 NA NA NA NA NA NA NA NA
08/1938 -0.0267 -0.0245 -0.0472 0.0000 NA NA NA NA NA NA NA NA
09/1938 0.0081 -0.0273 -0.0162 0.0002 NA NA NA NA NA NA NA NA
10/1938 0.0780 0.0581 0.0503 0.0001 NA NA NA NA NA NA NA NA
11/1938 -0.0172 -0.0257 -0.0122 -0.0006 NA NA NA NA NA NA NA NA
12/1938 0.0419 -0.0182 0.0053 0.0000 NA NA NA NA NA NA NA NA
01/1939 -0.0596 -0.0155 -0.0394 -0.0001 NA NA NA NA NA NA NA NA
02/1939 0.0351 0.0063 0.0295 0.0001 NA NA NA NA NA NA NA NA
03/1939 -0.1199 -0.0475 -0.0831 -0.0001 NA NA NA NA NA NA NA NA
04/1939 -0.0018 0.0167 -0.0030 0.0000 NA NA NA NA NA NA NA NA
05/1939 0.0680 0.0280 0.0049 0.0001 NA NA NA NA NA NA NA NA
06/1939 -0.0531 -0.0101 -0.0542 0.0001 NA NA NA NA NA NA NA NA
07/1939 0.1024 0.0432 -0.0003 0.0000 NA NA NA NA NA NA NA NA
08/1939 -0.0668 -0.0461 -0.0242 -0.0001 NA NA NA NA NA NA NA NA
09/1939 0.1688 0.2024 0.2222 0.0001 NA NA NA NA NA NA NA NA
10/1939 -0.0053 -0.0001 -0.0489 0.0000 NA NA NA NA NA NA NA NA
11/1939 -0.0362 -0.0507 -0.0646 0.0000 NA NA NA NA NA NA NA NA
12/1939 0.0303 0.0079 -0.0406 0.0000 NA NA NA NA NA NA NA NA
01/1940 -0.0241 0.0021 -0.0081 0.0000 NA NA NA NA NA NA NA NA
02/1940 0.0144 0.0251 -0.0033 0.0000 NA NA NA NA NA NA NA NA
03/1940 0.0205 0.0125 -0.0127 0.0000 NA NA NA NA NA NA NA NA
04/1940 0.0022 0.0392 -0.0013 0.0000 NA NA NA NA NA NA NA NA
05/1940 -0.2195 -0.0666 -0.0369 -0.0002 NA NA NA NA NA NA NA NA
06/1940 0.0667 -0.0213 0.0462 0.0000 NA NA NA NA NA NA NA NA
07/1940 0.0316 0.0101 -0.0074 0.0001 NA NA NA NA NA NA NA NA
08/1940 0.0219 -0.0011 0.0056 -0.0001 NA NA NA NA NA NA NA NA
09/1940 0.0239 0.0322 -0.0113 0.0000 NA NA NA NA NA NA NA NA
10/1940 0.0302 0.0028 0.0464 0.0000 NA NA NA NA NA NA NA NA
11/1940 -0.0161 0.0194 0.0012 0.0000 NA NA NA NA NA NA NA NA
12/1940 0.0069 -0.0215 -0.0089 0.0000 NA NA NA NA NA NA NA NA
01/1941 -0.0417 0.0100 0.0383 -0.0001 NA NA NA NA NA NA NA NA
02/1941 -0.0143 -0.0156 0.0089 -0.0001 NA NA NA NA NA NA NA NA
03/1941 0.0084 0.0010 0.0304 0.0001 NA NA NA NA NA NA NA NA
04/1941 -0.0546 -0.0168 0.0341 -0.0001 NA NA NA NA NA NA NA NA
05/1941 0.0139 -0.0065 0.0060 0.0000 NA NA NA NA NA NA NA NA
06/1941 0.0583 0.0132 0.0059 0.0000 NA NA NA NA NA NA NA NA
07/1941 0.0587 0.0571 0.0725 0.0003 NA NA NA NA NA NA NA NA
08/1941 -0.0017 -0.0042 -0.0110 0.0001 NA NA NA NA NA NA NA NA
09/1941 -0.0087 -0.0099 -0.0028 0.0001 NA NA NA NA NA NA NA NA
10/1941 -0.0525 -0.0202 0.0163 0.0000 NA NA NA NA NA NA NA NA
11/1941 -0.0192 -0.0121 -0.0064 0.0000 NA NA NA NA NA NA NA NA
12/1941 -0.0487 -0.0299 -0.0594 0.0001 NA NA NA NA NA NA NA NA
01/1942 0.0079 0.0753 0.1010 0.0002 NA NA NA NA NA NA NA NA
02/1942 -0.0246 0.0172 -0.0113 0.0001 NA NA NA NA NA NA NA NA
03/1942 -0.0658 0.0177 -0.0062 0.0001 NA NA NA NA NA NA NA NA
04/1942 -0.0437 -0.0060 0.0209 0.0001 NA NA NA NA NA NA NA NA
05/1942 0.0594 -0.0305 -0.0265 0.0003 NA NA NA NA NA NA NA NA
06/1942 0.0269 -0.0122 0.0054 0.0002 NA NA NA NA NA NA NA NA
07/1942 0.0351 -0.0015 0.0240 0.0003 NA NA NA NA NA NA NA NA
08/1942 0.0180 -0.0009 0.0135 0.0003 NA NA NA NA NA NA NA NA
09/1942 0.0261 0.0063 0.0235 0.0003 NA NA NA NA NA NA NA NA
10/1942 0.0682 0.0175 0.0639 0.0003 NA NA NA NA NA NA NA NA
11/1942 0.0015 -0.0150 -0.0421 0.0003 NA NA NA NA NA NA NA NA
12/1942 0.0512 -0.0251 0.0058 0.0003 NA NA NA NA NA NA NA NA
01/1943 0.0713 0.0880 0.0818 0.0003 NA NA NA NA NA NA NA NA
02/1943 0.0615 0.0475 0.0640 0.0003 NA NA NA NA NA NA NA NA
03/1943 0.0601 0.0499 0.0548 0.0003 NA NA NA NA NA NA NA NA
04/1943 0.0081 0.0205 0.0582 0.0003 NA NA NA NA NA NA NA NA
05/1943 0.0574 0.0435 0.0325 0.0003 NA NA NA NA NA NA NA NA
06/1943 0.0182 -0.0102 -0.0070 0.0003 NA NA NA NA NA NA NA NA
07/1943 -0.0477 -0.0239 -0.0229 0.0003 NA NA NA NA NA NA NA NA
08/1943 0.0130 -0.0060 -0.0043 0.0003 NA NA NA NA NA NA NA NA
09/1943 0.0240 0.0129 0.0143 0.0003 NA NA NA NA NA NA NA NA
10/1943 -0.0115 0.0058 0.0164 0.0003 NA NA NA NA NA NA NA NA
11/1943 -0.0591 -0.0165 -0.0402 0.0003 NA NA NA NA NA NA NA NA
12/1943 0.0636 0.0334 0.0324 0.0003 NA NA NA NA NA NA NA NA
01/1944 0.0174 0.0255 0.0216 0.0003 NA NA NA NA NA NA NA NA
02/1944 0.0037 -0.0010 0.0084 0.0003 NA NA NA NA NA NA NA NA
03/1944 0.0246 0.0173 0.0343 0.0002 NA NA NA NA NA NA NA NA
04/1944 -0.0169 -0.0137 -0.0114 0.0003 NA NA NA NA NA NA NA NA
05/1944 0.0507 0.0168 0.0104 0.0003 NA NA NA NA NA NA NA NA
06/1944 0.0549 0.0401 0.0175 0.0003 NA NA NA NA NA NA NA NA
07/1944 -0.0149 0.0058 -0.0042 0.0003 NA NA NA NA NA NA NA NA
08/1944 0.0157 0.0233 -0.0149 0.0003 NA NA NA NA NA NA NA NA
09/1944 0.0001 0.0049 -0.0116 0.0002 NA NA NA NA NA NA NA NA
10/1944 0.0016 -0.0015 -0.0033 0.0003 NA NA NA NA NA NA NA NA
11/1944 0.0171 0.0036 0.0238 0.0003 NA NA NA NA NA NA NA NA
12/1944 0.0403 0.0225 0.0591 0.0002 NA NA NA NA NA NA NA NA
01/1945 0.0201 0.0246 0.0067 0.0003 NA NA NA NA NA NA NA NA
02/1945 0.0623 0.0155 0.0434 0.0002 NA NA NA NA NA NA NA NA
03/1945 -0.0389 -0.0160 -0.0174 0.0002 NA NA NA NA NA NA NA NA
04/1945 0.0780 0.0032 0.0324 0.0003 NA NA NA NA NA NA NA NA
05/1945 0.0173 0.0152 0.0036 0.0003 NA NA NA NA NA NA NA NA
06/1945 0.0039 0.0312 0.0421 0.0002 NA NA NA NA NA NA NA NA
07/1945 -0.0217 -0.0152 -0.0262 0.0003 NA NA NA NA NA NA NA NA
08/1945 0.0620 0.0150 -0.0427 0.0003 NA NA NA NA NA NA NA NA
09/1945 0.0477 0.0170 0.0042 0.0003 NA NA NA NA NA NA NA NA
10/1945 0.0389 0.0238 0.0213 0.0003 NA NA NA NA NA NA NA NA
11/1945 0.0539 0.0431 0.0396 0.0002 NA NA NA NA NA NA NA NA
12/1945 0.0120 0.0210 -0.0228 0.0003 NA NA NA NA NA NA NA NA
01/1946 0.0624 0.0391 0.0248 0.0003 NA NA NA NA NA NA NA NA
02/1946 -0.0583 -0.0071 -0.0146 0.0003 NA NA NA NA NA NA NA NA
03/1946 0.0587 0.0029 -0.0054 0.0003 NA NA NA NA NA NA NA NA
04/1946 0.0423 0.0235 0.0032 0.0003 NA NA NA NA NA NA NA NA
05/1946 0.0393 0.0146 0.0128 0.0003 NA NA NA NA NA NA NA NA
06/1946 -0.0389 -0.0158 -0.0039 0.0003 NA NA NA NA NA NA NA NA
07/1946 -0.0269 -0.0207 0.0007 0.0003 NA NA NA NA NA NA NA NA
08/1946 -0.0644 -0.0184 0.0055 0.0003 NA NA NA NA NA NA NA NA
09/1946 -0.1017 -0.0440 -0.0192 0.0003 NA NA NA NA NA NA NA NA
10/1946 -0.0144 0.0010 0.0346 0.0003 NA NA NA NA NA NA NA NA
11/1946 -0.0001 -0.0044 0.0147 0.0003 NA NA NA NA NA NA NA NA
12/1946 0.0496 0.0008 -0.0136 0.0003 NA NA NA NA NA NA NA NA
01/1947 0.0125 0.0220 -0.0073 0.0003 NA NA NA NA NA NA NA NA
02/1947 -0.0108 0.0068 0.0015 0.0003 NA NA NA NA NA NA NA NA
03/1947 -0.0167 -0.0162 0.0061 0.0003 NA NA NA NA NA NA NA NA
04/1947 -0.0480 -0.0396 0.0085 0.0003 NA NA NA NA NA NA NA NA
05/1947 -0.0097 -0.0326 0.0033 0.0003 NA NA NA NA NA NA NA NA
06/1947 0.0529 -0.0030 -0.0059 0.0003 NA NA NA NA NA NA NA NA
07/1947 0.0414 0.0143 0.0282 0.0003 NA NA NA NA NA NA NA NA
08/1947 -0.0174 0.0032 0.0018 0.0003 NA NA NA NA NA NA NA NA
09/1947 -0.0054 0.0164 0.0136 0.0006 NA NA NA NA NA NA NA NA
10/1947 0.0247 0.0051 0.0007 0.0006 NA NA NA NA NA NA NA NA
11/1947 -0.0197 -0.0171 0.0110 0.0006 NA NA NA NA NA NA NA NA
12/1947 0.0300 -0.0246 0.0371 0.0008 NA NA NA NA NA NA NA NA
01/1948 -0.0393 0.0250 0.0139 0.0007 NA NA NA NA NA NA NA NA
02/1948 -0.0438 -0.0172 0.0007 0.0007 NA NA NA NA NA NA NA NA
03/1948 0.0807 0.0014 0.0450 0.0009 NA NA NA NA NA NA NA NA
04/1948 0.0365 -0.0165 0.0411 0.0008 NA NA NA NA NA NA NA NA
05/1948 0.0730 0.0091 -0.0127 0.0008 NA NA NA NA NA NA NA NA
06/1948 -0.0010 -0.0182 0.0281 0.0009 NA NA NA NA NA NA NA NA
07/1948 -0.0509 -0.0033 0.0014 0.0008 NA NA NA NA NA NA NA NA
08/1948 0.0025 -0.0111 0.0028 0.0009 NA NA NA NA NA NA NA NA
09/1948 -0.0297 -0.0123 -0.0171 0.0004 NA NA NA NA NA NA NA NA
10/1948 0.0596 -0.0150 0.0058 0.0004 NA NA NA NA NA NA NA NA
11/1948 -0.0930 -0.0060 -0.0413 0.0004 NA NA NA NA NA NA NA NA
12/1948 0.0326 -0.0282 -0.0194 0.0004 NA NA NA NA NA NA NA NA
01/1949 0.0023 0.0177 0.0123 0.0010 NA NA NA NA NA NA NA NA
02/1949 -0.0293 -0.0190 -0.0086 0.0009 NA NA NA NA NA NA NA NA
03/1949 0.0404 0.0250 0.0129 0.0010 NA NA NA NA NA NA NA NA
04/1949 -0.0187 -0.0089 -0.0113 0.0009 NA NA NA NA NA NA NA NA
05/1949 -0.0294 -0.0079 -0.0237 0.0010 NA NA NA NA NA NA NA NA
06/1949 0.0010 -0.0091 -0.0165 0.0010 NA NA NA NA NA NA NA NA
07/1949 0.0554 0.0055 0.0037 0.0009 NA NA NA NA NA NA NA NA
08/1949 0.0260 0.0020 -0.0055 0.0009 NA NA NA NA NA NA NA NA
09/1949 0.0309 0.0100 0.0019 0.0009 NA NA NA NA NA NA NA NA
10/1949 0.0314 0.0104 -0.0048 0.0009 NA NA NA NA NA NA NA NA
11/1949 0.0182 -0.0102 -0.0096 0.0008 NA NA NA NA NA NA NA NA
12/1949 0.0513 0.0206 0.0177 0.0009 NA NA NA NA NA NA NA NA
01/1950 0.0170 0.0333 0.0012 0.0009 NA NA NA NA NA NA NA NA
02/1950 0.0148 0.0003 -0.0079 0.0009 NA NA NA NA NA NA NA NA
03/1950 0.0126 -0.0144 -0.0281 0.0010 NA NA NA NA NA NA NA NA
04/1950 0.0394 0.0194 0.0130 0.0009 NA NA NA NA NA NA NA NA
05/1950 0.0431 -0.0210 0.0046 0.0010 NA NA NA NA NA NA NA NA
06/1950 -0.0594 -0.0234 -0.0070 0.0010 NA NA NA NA NA NA NA NA
07/1950 0.0136 0.0069 0.1356 0.0010 NA NA NA NA NA NA NA NA
08/1950 0.0485 0.0076 -0.0150 0.0010 NA NA NA NA NA NA NA NA
09/1950 0.0481 0.0049 -0.0107 0.0010 NA NA NA NA NA NA NA NA
10/1950 -0.0018 -0.0047 0.0130 0.0012 NA NA NA NA NA NA NA NA
11/1950 0.0276 -0.0089 0.0333 0.0011 NA NA NA NA NA NA NA NA
12/1950 0.0554 0.0147 0.0736 0.0011 NA NA NA NA NA NA NA NA
01/1951 0.0570 0.0176 0.0364 0.0013 NA NA NA NA NA NA NA NA
02/1951 0.0141 0.0008 -0.0285 0.0010 NA NA NA NA NA NA NA NA
03/1951 -0.0215 -0.0077 -0.0410 0.0011 NA NA NA NA NA NA NA NA
04/1951 0.0486 -0.0145 0.0327 0.0013 NA NA NA NA NA NA NA NA
05/1951 -0.0234 0.0000 -0.0137 0.0012 NA NA NA NA NA NA NA NA
06/1951 -0.0262 -0.0206 -0.0375 0.0012 NA NA NA NA NA NA NA NA
07/1951 0.0694 -0.0199 0.0206 0.0013 NA NA NA NA NA NA NA NA
08/1951 0.0427 0.0099 -0.0013 0.0013 NA NA NA NA NA NA NA NA
09/1951 0.0070 0.0187 0.0063 0.0012 NA NA NA NA NA NA NA NA
10/1951 -0.0253 -0.0022 0.0023 0.0016 NA NA NA NA NA NA NA NA
11/1951 0.0057 -0.0032 -0.0006 0.0011 NA NA NA NA NA NA NA NA
12/1951 0.0333 -0.0226 -0.0159 0.0012 NA NA NA NA NA NA NA NA
01/1952 0.0145 -0.0061 0.0155 0.0015 NA NA NA NA NA NA NA NA
02/1952 -0.0262 0.0082 -0.0061 0.0012 NA NA NA NA NA NA NA NA
03/1952 0.0444 -0.0299 0.0217 0.0011 NA NA NA NA NA NA NA NA
04/1952 -0.0497 0.0046 -0.0010 0.0012 NA NA NA NA NA NA NA NA
05/1952 0.0320 -0.0100 0.0004 0.0013 NA NA NA NA NA NA NA NA
06/1952 0.0383 -0.0164 0.0124 0.0015 NA NA NA NA NA NA NA NA
07/1952 0.0091 -0.0040 -0.0035 0.0015 NA NA NA NA NA NA NA NA
08/1952 -0.0076 0.0115 0.0001 0.0015 NA NA NA NA NA NA NA NA
09/1952 -0.0203 0.0111 -0.0152 0.0016 NA NA NA NA NA NA NA NA
10/1952 -0.0066 -0.0105 -0.0046 0.0014 NA NA NA NA NA NA NA NA
11/1952 0.0594 -0.0072 0.0097 0.0010 NA NA NA NA NA NA NA NA
12/1952 0.0293 -0.0148 0.0019 0.0016 NA NA NA NA NA NA NA NA
01/1953 -0.0034 0.0361 0.0132 0.0016 NA NA NA NA NA NA NA NA
02/1953 -0.0027 0.0215 -0.0009 0.0014 NA NA NA NA NA NA NA NA
03/1953 -0.0143 -0.0022 -0.0085 0.0018 NA NA NA NA NA NA NA NA
04/1953 -0.0283 0.0030 0.0157 0.0016 NA NA NA NA NA NA NA NA
05/1953 0.0052 -0.0007 0.0023 0.0017 NA NA NA NA NA NA NA NA
06/1953 -0.0189 -0.0187 -0.0047 0.0018 NA NA NA NA NA NA NA NA
07/1953 0.0240 -0.0100 -0.0022 0.0015 NA NA NA NA NA NA NA NA
08/1953 -0.0452 0.0029 -0.0353 0.0017 NA NA NA NA NA NA NA NA
09/1953 0.0020 -0.0084 -0.0244 0.0016 NA NA NA NA NA NA NA NA
10/1953 0.0460 -0.0135 -0.0025 0.0013 NA NA NA NA NA NA NA NA
11/1953 0.0283 -0.0130 -0.0015 0.0008 NA NA NA NA NA NA NA NA
12/1953 0.0003 -0.0085 -0.0284 0.0013 NA NA NA NA NA NA NA NA
01/1954 0.0513 0.0048 0.0344 0.0011 NA NA NA NA NA NA NA NA
02/1954 0.0167 -0.0019 -0.0029 0.0007 NA NA NA NA NA NA NA NA
03/1954 0.0365 -0.0054 -0.0150 0.0008 NA NA NA NA NA NA NA NA
04/1954 0.0427 -0.0344 -0.0034 0.0009 NA NA NA NA NA NA NA NA
05/1954 0.0309 0.0041 0.0245 0.0005 NA NA NA NA NA NA NA NA
06/1954 0.0107 0.0038 0.0001 0.0006 NA NA NA NA NA NA NA NA
07/1954 0.0499 0.0106 0.0413 0.0005 NA NA NA NA NA NA NA NA
08/1954 -0.0234 0.0269 -0.0138 0.0005 NA NA NA NA NA NA NA NA
09/1954 0.0639 -0.0253 0.0068 0.0009 NA NA NA NA NA NA NA NA
10/1954 -0.0167 0.0062 0.0067 0.0007 NA NA NA NA NA NA NA NA
11/1954 0.0938 -0.0262 0.0440 0.0006 NA NA NA NA NA NA NA NA
12/1954 0.0548 0.0212 0.0566 0.0008 NA NA NA NA NA NA NA NA
01/1955 0.0060 0.0036 0.0214 0.0008 NA NA NA NA NA NA NA NA
02/1955 0.0302 0.0159 0.0058 0.0009 NA NA NA NA NA NA NA NA
03/1955 -0.0016 -0.0074 0.0197 0.0010 NA NA NA NA NA NA NA NA
04/1955 0.0311 -0.0162 0.0068 0.0010 NA NA NA NA NA NA NA NA
05/1955 0.0093 -0.0028 -0.0096 0.0014 NA NA NA NA NA NA NA NA
06/1955 0.0655 -0.0465 0.0184 0.0010 NA NA NA NA NA NA NA NA
07/1955 0.0190 -0.0117 0.0035 0.0010 NA NA NA NA NA NA NA NA
08/1955 0.0021 -0.0044 0.0072 0.0016 NA NA NA NA NA NA NA NA
09/1955 -0.0036 0.0035 -0.0099 0.0016 NA NA NA NA NA NA NA NA
10/1955 -0.0268 0.0148 -0.0015 0.0018 NA NA NA NA NA NA NA NA
11/1955 0.0703 -0.0222 0.0033 0.0017 NA NA NA NA NA NA NA NA
12/1955 0.0149 0.0216 -0.0230 0.0018 NA NA NA NA NA NA NA NA
01/1956 -0.0303 0.0037 0.0095 0.0022 NA NA NA NA NA NA NA NA
02/1956 0.0377 -0.0098 -0.0043 0.0019 NA NA NA NA NA NA NA NA
03/1956 0.0664 -0.0209 -0.0046 0.0015 NA NA NA NA NA NA NA NA
04/1956 0.0028 0.0001 -0.0024 0.0019 NA NA NA NA NA NA NA NA
05/1956 -0.0520 0.0145 -0.0131 0.0023 NA NA NA NA NA NA NA NA
06/1956 0.0348 -0.0148 -0.0113 0.0020 NA NA NA NA NA NA NA NA
07/1956 0.0484 -0.0166 -0.0004 0.0022 NA NA NA NA NA NA NA NA
08/1956 -0.0318 0.0189 -0.0074 0.0017 NA NA NA NA NA NA NA NA
09/1956 -0.0514 0.0157 0.0176 0.0018 NA NA NA NA NA NA NA NA
10/1956 0.0052 -0.0010 -0.0006 0.0025 NA NA NA NA NA NA NA NA
11/1956 0.0036 -0.0021 0.0178 0.0020 NA NA NA NA NA NA NA NA
12/1956 0.0316 -0.0001 -0.0215 0.0024 NA NA NA NA NA NA NA NA
01/1957 -0.0358 0.0337 0.0281 0.0027 NA NA NA NA NA NA NA NA
02/1957 -0.0206 -0.0072 -0.0072 0.0024 NA NA NA NA NA NA NA NA
03/1957 0.0213 0.0026 -0.0048 0.0023 NA NA NA NA NA NA NA NA
04/1957 0.0426 -0.0159 -0.0145 0.0025 NA NA NA NA NA NA NA NA
05/1957 0.0345 -0.0105 -0.0210 0.0026 NA NA NA NA NA NA NA NA
06/1957 -0.0074 0.0054 0.0001 0.0024 NA NA NA NA NA NA NA NA
07/1957 0.0066 -0.0076 0.0043 0.0030 NA NA NA NA NA NA NA NA
08/1957 -0.0511 0.0005 -0.0041 0.0025 NA NA NA NA NA NA NA NA
09/1957 -0.0598 0.0008 0.0092 0.0026 NA NA NA NA NA NA NA NA
10/1957 -0.0432 -0.0252 -0.0180 0.0029 NA NA NA NA NA NA NA NA
11/1957 0.0230 0.0040 -0.0287 0.0028 NA NA NA NA NA NA NA NA
12/1957 -0.0391 -0.0098 -0.0162 0.0024 NA NA NA NA NA NA NA NA
01/1958 0.0466 0.0439 0.0419 0.0028 NA NA NA NA NA NA NA NA
02/1958 -0.0152 0.0065 0.0033 0.0012 NA NA NA NA NA NA NA NA
03/1958 0.0327 0.0065 -0.0097 0.0009 NA NA NA NA NA NA NA NA
04/1958 0.0309 -0.0062 0.0161 0.0008 NA NA NA NA NA NA NA NA
05/1958 0.0231 0.0216 -0.0026 0.0011 NA NA NA NA NA NA NA NA
06/1958 0.0293 -0.0019 0.0040 0.0003 NA NA NA NA NA NA NA NA
07/1958 0.0439 0.0047 0.0306 0.0007 NA NA NA NA NA NA NA NA
08/1958 0.0191 0.0118 0.0036 0.0004 NA NA NA NA NA NA NA NA
09/1958 0.0466 0.0012 0.0285 0.0019 NA NA NA NA NA NA NA NA
10/1958 0.0253 0.0109 -0.0118 0.0018 NA NA NA NA NA NA NA NA
11/1958 0.0301 0.0197 -0.0118 0.0011 NA NA NA NA NA NA NA NA
12/1958 0.0515 -0.0203 0.0003 0.0022 NA NA NA NA NA NA NA NA
01/1959 0.0071 0.0302 0.0291 0.0021 NA NA NA NA NA NA NA NA
02/1959 0.0095 0.0146 0.0116 0.0019 NA NA NA NA NA NA NA NA
03/1959 0.0028 0.0149 -0.0034 0.0022 NA NA NA NA NA NA NA NA
04/1959 0.0366 -0.0060 -0.0123 0.0020 NA NA NA NA NA NA NA NA
05/1959 0.0173 -0.0216 0.0179 0.0022 NA NA NA NA NA NA NA NA
06/1959 -0.0025 0.0067 0.0131 0.0025 NA NA NA NA NA NA NA NA
07/1959 0.0317 -0.0030 0.0023 0.0025 NA NA NA NA NA NA NA NA
08/1959 -0.0139 -0.0076 0.0044 0.0019 NA NA NA NA NA NA NA NA
09/1959 -0.0480 -0.0009 0.0055 0.0031 NA NA NA NA NA NA NA NA
10/1959 0.0128 0.0144 -0.0210 0.0030 NA NA NA NA NA NA NA NA
11/1959 0.0160 0.0123 -0.0321 0.0026 NA NA NA NA NA NA NA NA
12/1959 0.0245 -0.0058 -0.0007 0.0034 NA NA NA NA NA NA NA NA
01/1960 -0.0698 0.0209 0.0278 0.0033 NA NA NA NA NA NA NA NA
02/1960 0.0117 0.0051 -0.0193 0.0029 NA NA NA NA NA NA NA NA
03/1960 -0.0163 -0.0049 -0.0294 0.0035 NA NA NA NA NA NA NA NA
04/1960 -0.0171 0.0032 -0.0228 0.0019 NA NA NA NA NA NA NA NA
05/1960 0.0312 0.0121 -0.0370 0.0027 NA NA NA NA NA NA NA NA
06/1960 0.0208 -0.0021 -0.0034 0.0024 NA NA NA NA NA NA NA NA
07/1960 -0.0237 -0.0051 0.0198 0.0013 NA NA NA NA NA NA NA NA
08/1960 0.0301 0.0087 -0.0018 0.0017 NA NA NA NA NA NA NA NA
09/1960 -0.0599 -0.0111 0.0162 0.0016 NA NA NA NA NA NA NA NA
10/1960 -0.0071 -0.0408 0.0283 0.0022 NA NA NA NA NA NA NA NA
11/1960 0.0469 0.0040 -0.0243 0.0013 NA NA NA NA NA NA NA NA
12/1960 0.0471 -0.0155 -0.0081 0.0016 NA NA NA NA NA NA NA NA
01/1961 0.0620 0.0064 0.0372 0.0019 NA NA NA NA NA NA NA NA
02/1961 0.0357 0.0393 -0.0066 0.0014 NA NA NA NA NA NA NA NA
03/1961 0.0289 0.0330 -0.0073 0.0020 NA NA NA NA NA NA NA NA
04/1961 0.0029 0.0007 0.0212 0.0017 NA NA NA NA NA NA NA NA
05/1961 0.0240 0.0201 0.0037 0.0018 NA NA NA NA NA NA NA NA
06/1961 -0.0308 -0.0249 -0.0014 0.0020 NA NA NA NA NA NA NA NA
07/1961 0.0283 -0.0190 -0.0009 0.0018 NA NA NA NA NA NA NA NA
08/1961 0.0257 -0.0175 -0.0028 0.0014 NA NA NA NA NA NA NA NA
09/1961 -0.0215 -0.0107 -0.0061 0.0017 NA NA NA NA NA NA NA NA
10/1961 0.0257 -0.0165 0.0015 0.0019 NA NA NA NA NA NA NA NA
11/1961 0.0445 0.0126 -0.0123 0.0015 NA NA NA NA NA NA NA NA
12/1961 -0.0018 -0.0085 0.0179 0.0019 NA NA NA NA NA NA NA NA
01/1962 -0.0387 0.0177 0.0513 0.0024 NA NA NA NA NA NA NA NA
02/1962 0.0181 -0.0115 0.0082 0.0020 NA NA NA NA NA NA NA NA
03/1962 -0.0068 0.0052 -0.0138 0.0020 NA NA NA NA NA NA NA NA
04/1962 -0.0659 -0.0070 0.0003 0.0022 NA NA NA NA NA NA NA NA
05/1962 -0.0865 -0.0334 0.0277 0.0024 NA NA NA NA NA NA NA NA
06/1962 -0.0847 -0.0059 0.0255 0.0020 NA NA NA NA NA NA NA NA
07/1962 0.0628 0.0152 -0.0341 0.0027 NA NA NA NA NA NA NA NA
08/1962 0.0213 0.0122 -0.0120 0.0023 NA NA NA NA NA NA NA NA
09/1962 -0.0522 -0.0242 0.0128 0.0021 NA NA NA NA NA NA NA NA
10/1962 -0.0005 -0.0397 0.0130 0.0025 NA NA NA NA NA NA NA NA
11/1962 0.1087 0.0261 0.0095 0.0020 NA NA NA NA NA NA NA NA
12/1962 0.0101 -0.0380 0.0036 0.0023 NA NA NA NA NA NA NA NA
01/1963 0.0493 0.0308 0.0221 0.0025 NA NA NA NA NA NA NA NA
02/1963 -0.0238 0.0048 0.0218 0.0023 NA NA NA NA NA NA NA NA
03/1963 0.0308 -0.0259 0.0206 0.0023 NA NA NA NA NA NA NA NA
04/1963 0.0451 -0.0134 0.0100 0.0025 NA NA NA NA NA NA NA NA
05/1963 0.0176 0.0113 0.0254 0.0024 NA NA NA NA NA NA NA NA
06/1963 -0.0200 -0.0027 0.0075 0.0023 NA NA NA NA NA NA NA NA
07/1963 -0.0039 -0.0045 -0.0097 0.0027 NA NA NA NA NA NA NA NA
08/1963 0.0507 -0.0098 0.0180 0.0025 NA NA NA NA NA NA NA NA
09/1963 -0.0157 -0.0033 0.0013 0.0027 NA NA NA NA NA NA NA NA
10/1963 0.0253 -0.0058 -0.0010 0.0029 NA NA NA NA NA NA NA NA
11/1963 -0.0085 -0.0117 0.0175 0.0027 NA NA NA NA NA NA NA NA
12/1963 0.0183 -0.0216 -0.0002 0.0029 NA NA NA NA NA NA NA NA
01/1964 0.0224 -0.0011 0.0148 0.0030 NA NA NA NA NA NA NA NA
02/1964 0.0154 0.0011 0.0281 0.0026 NA NA NA NA NA NA NA NA
03/1964 0.0141 0.0087 0.0340 0.0031 NA NA NA NA NA NA NA NA
04/1964 0.0010 -0.0135 -0.0067 0.0029 NA NA NA NA NA NA NA NA
05/1964 0.0142 -0.0086 0.0186 0.0026 NA NA NA NA NA NA NA NA
06/1964 0.0127 -0.0012 0.0062 0.0030 NA NA NA NA NA NA NA NA
07/1964 0.0174 0.0024 0.0075 0.0030 NA NA NA NA NA NA NA NA
08/1964 -0.0144 0.0016 0.0008 0.0028 NA NA NA NA NA NA NA NA
09/1964 0.0269 -0.0054 0.0170 0.0028 NA NA NA NA NA NA NA NA
10/1964 0.0059 0.0042 0.0117 0.0029 NA NA NA NA NA NA NA NA
11/1964 0.0000 0.0069 -0.0196 0.0029 NA NA NA NA NA NA NA NA
12/1964 0.0003 -0.0035 -0.0248 0.0031 NA NA NA NA NA NA NA NA
01/1965 0.0354 0.0270 0.0012 0.0028 NA NA NA NA NA NA NA NA
02/1965 0.0044 0.0355 0.0011 0.0030 NA NA NA NA NA NA NA NA
03/1965 -0.0134 0.0189 0.0103 0.0036 NA NA NA NA NA NA NA NA
04/1965 0.0311 0.0110 0.0066 0.0031 NA NA NA NA NA NA NA NA
05/1965 -0.0077 0.0011 -0.0161 0.0031 NA NA NA NA NA NA NA NA
06/1965 -0.0551 -0.0434 0.0059 0.0035 NA NA NA NA NA NA NA NA
07/1965 0.0143 0.0089 0.0220 0.0031 NA NA NA NA NA NA NA NA
08/1965 0.0273 0.0284 -0.0100 0.0033 NA NA NA NA NA NA NA NA
09/1965 0.0286 0.0064 -0.0013 0.0031 NA NA NA NA NA NA NA NA
10/1965 0.0260 0.0252 0.0156 0.0031 NA NA NA NA NA NA NA NA
11/1965 -0.0003 0.0468 0.0015 0.0035 NA NA NA NA NA NA NA NA
12/1965 0.0101 0.0206 0.0203 0.0033 NA NA NA NA NA NA NA NA
01/1966 0.0072 0.0384 0.0356 0.0038 NA NA NA NA NA NA NA NA
02/1966 -0.0121 0.0440 0.0033 0.0035 NA NA NA NA NA NA NA NA
03/1966 -0.0251 0.0099 -0.0198 0.0038 NA NA NA NA NA NA NA NA
04/1966 0.0214 0.0343 -0.0046 0.0034 NA NA NA NA NA NA NA NA
05/1966 -0.0566 -0.0460 -0.0163 0.0041 NA NA NA NA NA NA NA NA
06/1966 -0.0144 0.0103 0.0050 0.0038 NA NA NA NA NA NA NA NA
07/1966 -0.0163 -0.0036 0.0095 0.0035 NA NA NA NA NA NA NA NA
08/1966 -0.0791 -0.0327 0.0043 0.0041 NA NA NA NA NA NA NA NA
09/1966 -0.0106 -0.0104 0.0056 0.0040 NA NA NA NA NA NA NA NA
10/1966 0.0386 -0.0652 0.0269 0.0045 NA NA NA NA NA NA NA NA
11/1966 0.0140 0.0424 -0.0469 0.0040 NA NA NA NA NA NA NA NA
12/1966 0.0013 0.0197 -0.0119 0.0040 NA NA NA NA NA NA NA NA
01/1967 0.0815 0.0832 0.0227 0.0043 NA NA NA NA NA NA NA NA
02/1967 0.0078 0.0335 -0.0222 0.0036 NA NA NA NA NA NA NA NA
03/1967 0.0399 0.0155 0.0037 0.0039 NA NA NA NA NA NA NA NA
04/1967 0.0389 0.0063 -0.0248 0.0032 NA NA NA NA NA NA NA NA
05/1967 -0.0433 0.0190 0.0109 0.0033 NA NA NA NA NA NA NA NA
06/1967 0.0241 0.0593 0.0085 0.0027 NA NA NA NA NA NA NA NA
07/1967 0.0458 0.0312 0.0273 0.0031 NA NA NA NA NA NA NA NA
08/1967 -0.0089 0.0042 0.0144 0.0031 NA NA NA NA NA NA NA NA
09/1967 0.0311 0.0306 -0.0250 0.0032 NA NA NA NA NA NA NA NA
10/1967 -0.0309 0.0146 -0.0330 0.0039 NA NA NA NA NA NA NA NA
11/1967 0.0037 0.0021 -0.0170 0.0036 NA NA NA NA NA NA NA NA
12/1967 0.0305 0.0573 -0.0053 0.0033 NA NA NA NA NA NA NA NA
01/1968 -0.0406 0.0392 0.0480 0.0040 NA NA NA NA NA NA NA NA
02/1968 -0.0375 -0.0294 0.0128 0.0039 NA NA NA NA NA NA NA NA
03/1968 0.0020 -0.0134 -0.0059 0.0038 NA NA NA NA NA NA NA NA
04/1968 0.0905 0.0568 -0.0113 0.0043 NA NA NA NA NA NA NA NA
05/1968 0.0228 0.0640 0.0085 0.0045 NA NA NA NA NA NA NA NA
06/1968 0.0069 -0.0019 0.0073 0.0043 NA NA NA NA NA NA NA NA
07/1968 -0.0272 -0.0136 0.0539 0.0048 NA NA NA NA NA NA NA NA
08/1968 0.0134 0.0234 0.0101 0.0042 NA NA NA NA NA NA NA NA
09/1968 0.0403 0.0280 0.0030 0.0043 NA NA NA NA NA NA NA NA
10/1968 0.0042 -0.0048 0.0286 0.0044 NA NA NA NA NA NA NA NA
11/1968 0.0543 0.0234 -0.0092 0.0042 NA NA NA NA NA NA NA NA
12/1968 -0.0394 0.0337 -0.0001 0.0043 NA NA NA NA NA NA NA NA
01/1969 -0.0125 -0.0074 0.0167 0.0053 NA NA NA NA NA NA NA NA
02/1969 -0.0584 -0.0392 0.0091 0.0046 NA NA NA NA NA NA NA NA
03/1969 0.0264 -0.0030 -0.0051 0.0046 NA NA NA NA NA NA NA NA
04/1969 0.0146 -0.0086 -0.0003 0.0053 NA NA NA NA NA NA NA NA
05/1969 -0.0010 -0.0021 0.0070 0.0048 NA NA NA NA NA NA NA NA
06/1969 -0.0718 -0.0537 -0.0108 0.0051 NA NA NA NA NA NA NA NA
07/1969 -0.0700 -0.0324 0.0120 0.0053 NA NA NA NA NA NA NA NA
08/1969 0.0468 0.0093 -0.0379 0.0050 NA NA NA NA NA NA NA NA
09/1969 -0.0298 0.0118 -0.0327 0.0062 NA NA NA NA NA NA NA NA
10/1969 0.0506 0.0391 -0.0316 0.0060 NA NA NA NA NA NA NA NA
11/1969 -0.0379 -0.0258 -0.0119 0.0052 NA NA NA NA NA NA NA NA
12/1969 -0.0263 -0.0371 -0.0286 0.0064 NA NA NA NA NA NA NA NA
01/1970 -0.0810 0.0293 0.0313 0.0060 NA NA NA NA NA NA NA NA
02/1970 0.0513 -0.0258 0.0393 0.0062 NA NA NA NA NA NA NA NA
03/1970 -0.0106 -0.0232 0.0399 0.0057 NA NA NA NA NA NA NA NA
04/1970 -0.1100 -0.0615 0.0618 0.0050 NA NA NA NA NA NA NA NA
05/1970 -0.0692 -0.0459 0.0333 0.0053 NA NA NA NA NA NA NA NA
06/1970 -0.0579 -0.0213 0.0060 0.0058 NA NA NA NA NA NA NA NA
07/1970 0.0693 -0.0050 0.0090 0.0052 NA NA NA NA NA NA NA NA
08/1970 0.0449 0.0152 0.0115 0.0053 NA NA NA NA NA NA NA NA
09/1970 0.0418 0.0859 -0.0547 0.0054 NA NA NA NA NA NA NA NA
10/1970 -0.0228 -0.0421 0.0022 0.0046 NA NA NA NA NA NA NA NA
11/1970 0.0460 -0.0394 0.0169 0.0046 NA NA NA NA NA NA NA NA
12/1970 0.0572 0.0292 0.0100 0.0042 NA NA NA NA NA NA NA NA
01/1971 0.0484 0.0736 0.0133 0.0038 NA NA NA NA NA NA NA NA
02/1971 0.0141 0.0186 -0.0123 0.0033 NA NA NA NA NA NA NA NA
03/1971 0.0413 0.0262 -0.0395 0.0030 NA NA NA NA NA NA NA NA
04/1971 0.0315 -0.0049 0.0069 0.0028 NA NA NA NA NA NA NA NA
05/1971 -0.0398 -0.0104 -0.0144 0.0029 NA NA NA NA NA NA NA NA
06/1971 -0.0010 -0.0147 -0.0187 0.0037 NA NA NA NA NA NA NA NA
07/1971 -0.0450 -0.0148 0.0002 0.0040 NA NA NA NA NA NA NA NA
08/1971 0.0379 -0.0017 0.0263 0.0047 NA NA NA NA NA NA NA NA
09/1971 -0.0085 0.0051 -0.0291 0.0037 NA NA NA NA NA NA NA NA
10/1971 -0.0442 -0.0176 -0.0048 0.0037 NA NA NA NA NA NA NA NA
11/1971 -0.0046 -0.0277 -0.0168 0.0037 NA NA NA NA NA NA NA NA
12/1971 0.0871 0.0329 -0.0040 0.0037 NA NA NA NA NA NA NA NA
01/1972 0.0249 0.0585 0.0224 0.0029 NA NA NA NA NA NA NA NA
02/1972 0.0287 0.0130 -0.0279 0.0025 NA NA NA NA NA NA NA NA
03/1972 0.0063 -0.0024 -0.0161 0.0027 NA NA NA NA NA NA NA NA
04/1972 0.0029 0.0011 0.0012 0.0029 NA NA NA NA NA NA NA NA
05/1972 0.0125 -0.0269 -0.0270 0.0030 NA NA NA NA NA NA NA NA
06/1972 -0.0243 0.0027 -0.0248 0.0029 NA NA NA NA NA NA NA NA
07/1972 -0.0080 -0.0287 0.0066 0.0031 NA NA NA NA NA NA NA NA
08/1972 0.0326 -0.0403 0.0454 0.0029 NA NA NA NA NA NA NA NA
09/1972 -0.0114 -0.0265 0.0046 0.0034 NA NA NA NA NA NA NA NA
10/1972 0.0052 -0.0273 0.0134 0.0040 NA NA NA NA NA NA NA NA
11/1972 0.0460 -0.0120 0.0485 0.0037 NA NA NA NA NA NA NA NA
12/1972 0.0062 -0.0195 -0.0219 0.0037 NA NA NA NA NA NA NA NA
01/1973 -0.0329 -0.0349 0.0268 0.0044 NA NA NA NA NA NA NA NA
02/1973 -0.0485 -0.0387 0.0160 0.0041 NA NA NA NA NA NA NA NA
03/1973 -0.0130 -0.0282 0.0262 0.0046 NA NA NA NA NA NA NA NA
04/1973 -0.0568 -0.0385 0.0541 0.0052 NA NA NA NA NA NA NA NA
05/1973 -0.0294 -0.0630 0.0041 0.0051 NA NA NA NA NA NA NA NA
06/1973 -0.0157 -0.0286 0.0120 0.0051 NA NA NA NA NA NA NA NA
07/1973 0.0505 0.0797 -0.0531 0.0064 NA NA NA NA NA NA NA NA
08/1973 -0.0382 -0.0213 0.0124 0.0070 NA NA NA NA NA NA NA NA
09/1973 0.0475 0.0304 0.0201 0.0068 NA NA NA NA NA NA NA NA
10/1973 -0.0083 -0.0045 0.0194 0.0065 NA NA NA NA NA NA NA NA
11/1973 -0.1275 -0.0767 0.0387 0.0056 NA NA NA NA NA NA NA NA
12/1973 0.0061 -0.0535 0.0385 0.0064 NA NA NA NA NA NA NA NA
01/1974 -0.0017 0.0968 0.0602 0.0063 NA NA NA NA NA NA NA NA
02/1974 -0.0047 -0.0018 0.0281 0.0058 NA NA NA NA NA NA NA NA
03/1974 -0.0281 0.0260 -0.0032 0.0056 NA NA NA NA NA NA NA NA
04/1974 -0.0529 -0.0074 0.0085 0.0075 NA NA NA NA NA NA NA NA
05/1974 -0.0468 -0.0296 -0.0202 0.0075 NA NA NA NA NA NA NA NA
06/1974 -0.0283 -0.0017 0.0077 0.0060 NA NA NA NA NA NA NA NA
07/1974 -0.0805 0.0084 0.0516 0.0070 NA NA NA NA NA NA NA NA
08/1974 -0.0935 -0.0073 0.0264 0.0060 NA NA NA NA NA NA NA NA
09/1974 -0.1177 0.0027 0.0558 0.0081 NA NA NA NA NA NA NA NA
10/1974 0.1610 -0.0346 -0.0987 0.0051 NA NA NA NA NA NA NA NA
11/1974 -0.0451 -0.0121 -0.0020 0.0054 NA NA NA NA NA NA NA NA
12/1974 -0.0345 -0.0483 0.0011 0.0070 NA NA NA NA NA NA NA NA
01/1975 0.1366 0.1114 0.0828 0.0058 NA NA NA NA NA NA NA NA
02/1975 0.0556 0.0016 -0.0444 0.0043 NA NA NA NA NA NA NA NA
03/1975 0.0266 0.0378 0.0238 0.0041 NA NA NA NA NA NA NA NA
04/1975 0.0423 -0.0065 -0.0114 0.0044 NA NA NA NA NA NA NA NA
05/1975 0.0519 0.0383 -0.0410 0.0044 NA NA NA NA NA NA NA NA
06/1975 0.0483 0.0087 0.0138 0.0041 NA NA NA NA NA NA NA NA
07/1975 -0.0659 0.0270 0.0169 0.0048 NA NA NA NA NA NA NA NA
08/1975 -0.0285 -0.0325 -0.0095 0.0048 NA NA NA NA NA NA NA NA
09/1975 -0.0426 -0.0010 0.0039 0.0053 NA NA NA NA NA NA NA NA
10/1975 0.0531 -0.0403 0.0028 0.0056 NA NA NA NA NA NA NA NA
11/1975 0.0264 -0.0120 0.0203 0.0041 NA NA NA NA NA NA NA NA
12/1975 -0.0160 -0.0078 0.0169 0.0048 NA NA NA NA NA NA NA NA
01/1976 0.1216 0.0481 0.0863 0.0047 NA NA NA NA NA NA NA NA
02/1976 0.0032 0.0706 0.0587 0.0034 NA NA NA NA NA NA NA NA
03/1976 0.0232 -0.0116 -0.0012 0.0040 NA NA NA NA NA NA NA NA
04/1976 -0.0149 -0.0011 -0.0016 0.0042 NA NA NA NA NA NA NA NA
05/1976 -0.0134 -0.0123 -0.0136 0.0037 NA NA NA NA NA NA NA NA
06/1976 0.0405 -0.0132 0.0071 0.0043 NA NA NA NA NA NA NA NA
07/1976 -0.0107 0.0029 0.0173 0.0047 NA NA NA NA NA NA NA NA
08/1976 -0.0056 -0.0200 0.0081 0.0042 NA NA NA NA NA NA NA NA
09/1976 0.0207 -0.0002 -0.0029 0.0044 NA NA NA NA NA NA NA NA
10/1976 -0.0242 0.0022 -0.0018 0.0041 NA NA NA NA NA NA NA NA
11/1976 0.0036 0.0232 0.0151 0.0040 NA NA NA NA NA NA NA NA
12/1976 0.0565 0.0303 0.0227 0.0040 NA NA NA NA NA NA NA NA
01/1977 -0.0405 0.0476 0.0427 0.0036 NA NA NA NA NA NA NA NA
02/1977 -0.0194 0.0104 0.0047 0.0035 NA NA NA NA NA NA NA NA
03/1977 -0.0137 0.0100 0.0109 0.0038 NA NA NA NA NA NA NA NA
04/1977 0.0015 -0.0012 0.0338 0.0038 NA NA NA NA NA NA NA NA
05/1977 -0.0145 0.0118 0.0085 0.0037 NA NA NA NA NA NA NA NA
06/1977 0.0471 0.0209 -0.0074 0.0040 NA NA NA NA NA NA NA NA
07/1977 -0.0169 0.0216 -0.0056 0.0042 NA NA NA NA NA NA NA NA
08/1977 -0.0175 0.0148 -0.0270 0.0044 NA NA NA NA NA NA NA NA
09/1977 -0.0027 0.0134 -0.0052 0.0043 NA NA NA NA NA NA NA NA
10/1977 -0.0438 0.0125 0.0175 0.0049 NA NA NA NA NA NA NA NA
11/1977 0.0400 0.0373 0.0026 0.0050 NA NA NA NA NA NA NA NA
12/1977 0.0027 0.0132 -0.0029 0.0049 NA NA NA NA NA NA NA NA
01/1978 -0.0601 0.0224 0.0336 0.0049 NA NA NA NA NA NA NA NA
02/1978 -0.0138 0.0359 0.0083 0.0046 NA NA NA NA NA NA NA NA
03/1978 0.0285 0.0349 0.0118 0.0053 NA NA NA NA NA NA NA NA
04/1978 0.0788 0.0045 -0.0354 0.0054 NA NA NA NA NA NA NA NA
05/1978 0.0176 0.0456 -0.0052 0.0051 NA NA NA NA NA NA NA NA
06/1978 -0.0169 0.0166 0.0057 0.0054 NA NA NA NA NA NA NA NA
07/1978 0.0511 0.0023 -0.0115 0.0056 NA NA NA NA NA NA NA NA
08/1978 0.0375 0.0506 -0.0051 0.0056 NA NA NA NA NA NA NA NA
09/1978 -0.0143 -0.0043 0.0189 0.0062 NA NA NA NA NA NA NA NA
10/1978 -0.1191 -0.0986 0.0138 0.0068 NA NA NA NA NA NA NA NA
11/1978 0.0271 0.0297 -0.0215 0.0070 NA NA NA NA NA NA NA NA
12/1978 0.0088 0.0129 -0.0213 0.0078 NA NA NA NA NA NA NA NA
01/1979 0.0423 0.0362 0.0219 0.0077 NA NA NA NA NA NA NA NA
02/1979 -0.0356 0.0045 0.0117 0.0073 NA NA NA NA NA NA NA NA
03/1979 0.0568 0.0326 -0.0071 0.0081 NA NA NA NA NA NA NA NA
04/1979 -0.0006 0.0215 0.0112 0.0080 NA NA NA NA NA NA NA NA
05/1979 -0.0221 0.0021 0.0131 0.0082 NA NA NA NA NA NA NA NA
06/1979 0.0385 0.0117 0.0144 0.0081 NA NA NA NA NA NA NA NA
07/1979 0.0082 0.0128 0.0186 0.0077 NA NA NA NA NA NA NA NA
08/1979 0.0553 0.0205 -0.0158 0.0077 NA NA NA NA NA NA NA NA
09/1979 -0.0082 -0.0027 -0.0090 0.0083 NA NA NA NA NA NA NA NA
10/1979 -0.0810 -0.0337 -0.0184 0.0087 NA NA NA NA NA NA NA NA
11/1979 0.0521 0.0287 -0.0329 0.0099 NA NA NA NA NA NA NA NA
12/1979 0.0179 0.0417 -0.0210 0.0095 NA NA NA NA NA NA NA NA
01/1980 0.0551 0.0162 0.0175 0.0080 NA NA NA NA NA NA NA NA
02/1980 -0.0122 -0.0185 0.0061 0.0089 NA NA NA NA NA NA NA NA
03/1980 -0.1290 -0.0664 -0.0101 0.0121 NA NA NA NA NA NA NA NA
04/1980 0.0397 0.0105 0.0106 0.0126 NA NA NA NA NA NA NA NA
05/1980 0.0526 0.0213 0.0038 0.0081 NA NA NA NA NA NA NA NA
06/1980 0.0306 0.0166 -0.0076 0.0061 NA NA NA NA NA NA NA NA
07/1980 0.0649 0.0414 -0.0641 0.0053 NA NA NA NA NA NA NA NA
08/1980 0.0180 0.0392 -0.0260 0.0064 NA NA NA NA NA NA NA NA
09/1980 0.0219 0.0098 -0.0459 0.0075 NA NA NA NA NA NA NA NA
10/1980 0.0106 0.0247 -0.0276 0.0095 NA NA NA NA NA NA NA NA
11/1980 0.0959 -0.0336 -0.0833 0.0096 NA NA NA NA NA NA NA NA
12/1980 -0.0452 -0.0026 0.0279 0.0131 NA NA NA NA NA NA NA NA
01/1981 -0.0504 0.0292 0.0672 0.0104 NA NA NA NA NA NA NA NA
02/1981 0.0057 -0.0034 0.0102 0.0107 NA NA NA NA NA NA NA NA
03/1981 0.0356 0.0354 0.0064 0.0121 NA NA NA NA NA NA NA NA
04/1981 -0.0211 0.0440 0.0228 0.0108 NA NA NA NA NA NA NA NA
05/1981 0.0011 0.0200 -0.0042 0.0115 NA NA NA NA NA NA NA NA
06/1981 -0.0236 -0.0083 0.0513 0.0135 NA NA NA NA NA NA NA NA
07/1981 -0.0154 -0.0219 -0.0050 0.0124 NA NA NA NA NA NA NA NA
08/1981 -0.0704 -0.0195 0.0476 0.0128 NA NA NA NA NA NA NA NA
09/1981 -0.0717 -0.0265 0.0517 0.0124 NA NA NA NA NA NA NA NA
10/1981 0.0492 0.0223 -0.0421 0.0121 NA NA NA NA NA NA NA NA
11/1981 0.0336 -0.0103 0.0183 0.0107 NA NA NA NA NA NA NA NA
12/1981 -0.0365 0.0120 0.0081 0.0087 NA NA NA NA NA NA NA NA
01/1982 -0.0324 -0.0128 0.0319 0.0080 NA NA NA NA NA NA NA NA
02/1982 -0.0586 0.0044 0.0605 0.0092 NA NA NA NA NA NA NA NA
03/1982 -0.0187 -0.0021 0.0381 0.0098 NA NA NA NA NA NA NA NA
04/1982 0.0327 0.0147 -0.0270 0.0113 NA NA NA NA NA NA NA NA
05/1982 -0.0399 0.0052 0.0175 0.0106 NA NA NA NA NA NA NA NA
06/1982 -0.0309 -0.0040 0.0153 0.0096 NA NA NA NA NA NA NA NA
07/1982 -0.0319 0.0083 0.0009 0.0105 NA NA NA NA NA NA NA NA
08/1982 0.1114 -0.0414 0.0095 0.0076 NA NA NA NA NA NA NA NA
09/1982 0.0129 0.0295 0.0028 0.0051 NA NA NA NA NA NA NA NA
10/1982 0.1130 0.0234 -0.0366 0.0059 NA NA NA NA NA NA NA NA
11/1982 0.0467 0.0467 -0.0187 0.0063 NA NA NA NA NA NA NA NA
12/1982 0.0055 -0.0022 -0.0002 0.0067 NA NA NA NA NA NA NA NA
01/1983 0.0360 0.0273 -0.0075 0.0069 NA NA NA NA NA NA NA NA
02/1983 0.0259 0.0327 0.0070 0.0062 NA NA NA NA NA NA NA NA
03/1983 0.0282 0.0173 0.0202 0.0063 NA NA NA NA NA NA NA NA
04/1983 0.0667 0.0050 0.0049 0.0071 NA NA NA NA NA NA NA NA
05/1983 0.0052 0.0624 -0.0140 0.0069 NA NA NA NA NA NA NA NA
06/1983 0.0307 0.0095 -0.0390 0.0067 NA NA NA NA NA NA NA NA
07/1983 -0.0407 0.0150 0.0562 0.0074 NA NA NA NA NA NA NA NA
08/1983 -0.0050 -0.0428 0.0554 0.0076 NA NA NA NA NA NA NA NA
09/1983 0.0091 0.0061 0.0101 0.0076 NA NA NA NA NA NA NA NA
10/1983 -0.0344 -0.0357 0.0497 0.0076 NA NA NA NA NA NA NA NA
11/1983 0.0216 0.0201 -0.0072 0.0070 NA NA NA NA NA NA NA NA
12/1983 -0.0178 -0.0027 0.0173 0.0073 NA NA NA NA NA NA NA NA
01/1984 -0.0192 -0.0038 0.0758 0.0076 NA NA NA NA NA NA NA NA
02/1984 -0.0482 -0.0169 0.0333 0.0071 NA NA NA NA NA NA NA NA
03/1984 0.0063 0.0007 0.0046 0.0073 NA NA NA NA NA NA NA NA
04/1984 -0.0051 -0.0116 0.0120 0.0081 NA NA NA NA NA NA NA NA
05/1984 -0.0597 0.0006 0.0031 0.0078 NA NA NA NA NA NA NA NA
06/1984 0.0182 -0.0030 -0.0266 0.0075 NA NA NA NA NA NA NA NA
07/1984 -0.0274 -0.0221 0.0036 0.0082 NA NA NA NA NA NA NA NA
08/1984 0.1028 -0.0024 -0.0182 0.0083 NA NA NA NA NA NA NA NA
09/1984 -0.0080 0.0017 0.0528 0.0086 NA NA NA NA NA NA NA NA
10/1984 -0.0084 -0.0123 0.0045 0.0100 NA NA NA NA NA NA NA NA
11/1984 -0.0176 -0.0065 0.0406 0.0073 NA NA NA NA NA NA NA NA
12/1984 0.0184 -0.0056 -0.0026 0.0064 NA NA NA NA NA NA NA NA
01/1985 0.0799 0.0331 -0.0535 0.0065 NA NA NA NA NA NA NA NA
02/1985 0.0122 0.0079 -0.0010 0.0058 NA NA NA NA NA NA NA NA
03/1985 -0.0084 -0.0108 0.0407 0.0062 NA NA NA NA NA NA NA NA
04/1985 -0.0096 0.0014 0.0372 0.0072 NA NA NA NA NA NA NA NA
05/1985 0.0509 -0.0222 -0.0096 0.0066 NA NA NA NA NA NA NA NA
06/1985 0.0127 0.0052 0.0038 0.0055 NA NA NA NA NA NA NA NA
07/1985 -0.0074 0.0284 -0.0162 0.0062 NA NA NA NA NA NA NA NA
08/1985 -0.0102 -0.0030 0.0232 0.0055 NA NA NA NA NA NA NA NA
09/1985 -0.0454 -0.0159 0.0129 0.0060 NA NA NA NA NA NA NA NA
10/1985 0.0402 -0.0151 0.0075 0.0065 NA NA NA NA NA NA NA NA
11/1985 0.0648 0.0025 -0.0285 0.0061 NA NA NA NA NA NA NA NA
12/1985 0.0388 -0.0051 -0.0154 0.0065 NA NA NA NA NA NA NA NA
01/1986 0.0065 0.0121 0.0044 0.0056 NA NA NA NA NA NA NA NA
02/1986 0.0713 -0.0054 -0.0072 0.0053 NA NA NA NA NA NA NA NA
03/1986 0.0488 -0.0059 -0.0039 0.0060 NA NA NA NA NA NA NA NA
04/1986 -0.0131 0.0278 -0.0287 0.0052 NA NA NA NA NA NA NA NA
05/1986 0.0462 -0.0135 -0.0021 0.0049 NA NA NA NA NA NA NA NA
06/1986 0.0103 -0.0096 0.0128 0.0052 NA NA NA NA NA NA NA NA
07/1986 -0.0645 -0.0336 0.0470 0.0052 NA NA NA NA NA NA NA NA
08/1986 0.0607 -0.0417 0.0351 0.0046 NA NA NA NA NA NA NA NA
09/1986 -0.0860 0.0236 0.0322 0.0045 NA NA NA NA NA NA NA NA
10/1986 0.0466 -0.0250 -0.0142 0.0046 NA NA NA NA NA NA NA NA
11/1986 0.0117 -0.0191 -0.0007 0.0039 NA NA NA NA NA NA NA NA
12/1986 -0.0327 0.0013 0.0036 0.0049 NA NA NA NA NA NA NA NA
01/1987 0.1247 -0.0181 -0.0316 0.0042 NA NA NA NA NA NA NA NA
02/1987 0.0439 0.0349 -0.0591 0.0043 NA NA NA NA NA NA NA NA
03/1987 0.0164 0.0045 0.0161 0.0047 NA NA NA NA NA NA NA NA
04/1987 -0.0211 -0.0169 -0.0039 0.0044 NA NA NA NA NA NA NA NA
05/1987 0.0011 -0.0050 0.0023 0.0038 NA NA NA NA NA NA NA NA
06/1987 0.0394 -0.0212 0.0104 0.0048 NA NA NA NA NA NA NA NA
07/1987 0.0385 -0.0069 0.0068 0.0046 NA NA NA NA NA NA NA NA
08/1987 0.0352 -0.0077 -0.0093 0.0047 NA NA NA NA NA NA NA NA
09/1987 -0.0259 0.0054 0.0027 0.0045 NA NA NA NA NA NA NA NA
10/1987 -0.2324 -0.0843 0.0424 0.0060 NA NA NA NA NA NA NA NA
11/1987 -0.0777 0.0272 0.0295 0.0035 NA NA NA NA NA NA NA NA
12/1987 0.0681 0.0013 -0.0443 0.0039 NA NA NA NA NA NA NA NA
01/1988 0.0421 -0.0072 0.0501 0.0029 NA NA NA NA NA NA NA NA
02/1988 0.0475 0.0334 -0.0171 0.0046 NA NA NA NA NA NA NA NA
03/1988 -0.0227 0.0615 0.0073 0.0044 NA NA NA NA NA NA NA NA
04/1988 0.0056 0.0100 0.0167 0.0046 NA NA NA NA NA NA NA NA
05/1988 -0.0029 -0.0260 0.0242 0.0051 NA NA NA NA NA NA NA NA
06/1988 0.0479 0.0211 -0.0124 0.0049 NA NA NA NA NA NA NA NA
07/1988 -0.0125 -0.0025 0.0222 0.0051 NA NA NA NA NA NA NA NA
08/1988 -0.0331 0.0004 0.0215 0.0059 NA NA NA NA NA NA NA NA
09/1988 0.0330 -0.0131 -0.0075 0.0062 NA NA NA NA NA NA NA NA
10/1988 0.0115 -0.0293 0.0205 0.0061 NA NA NA NA NA NA NA NA
11/1988 -0.0229 -0.0172 0.0141 0.0057 NA NA NA NA NA NA NA NA
12/1988 0.0149 0.0195 -0.0169 0.0063 NA NA NA NA NA NA NA NA
01/1989 0.0610 -0.0223 0.0060 0.0055 NA NA NA NA NA NA NA NA
02/1989 -0.0225 0.0282 0.0101 0.0061 NA NA NA NA NA NA NA NA
03/1989 0.0157 0.0067 0.0058 0.0067 NA NA NA NA NA NA NA NA
04/1989 0.0433 -0.0068 -0.0142 0.0067 NA NA NA NA NA NA NA NA
05/1989 0.0335 -0.0005 -0.0088 0.0079 NA NA NA NA NA NA NA NA
06/1989 -0.0135 -0.0102 0.0225 0.0071 NA NA NA NA NA NA NA NA
07/1989 0.0720 -0.0414 -0.0279 0.0070 NA NA NA NA NA NA NA NA
08/1989 0.0144 0.0056 0.0060 0.0074 NA NA NA NA NA NA NA NA
09/1989 -0.0076 0.0032 -0.0127 0.0065 NA NA NA NA NA NA NA NA
10/1989 -0.0367 -0.0323 -0.0111 0.0068 NA NA NA NA NA NA NA NA
11/1989 0.0103 -0.0124 -0.0109 0.0069 NA NA NA NA NA NA NA NA
12/1989 0.0116 -0.0236 0.0016 0.0061 NA NA NA NA NA NA NA NA
01/1990 -0.0785 -0.0124 0.0085 0.0057 NA NA NA NA NA NA NA NA
02/1990 0.0111 0.0099 0.0064 0.0057 NA NA NA NA NA NA NA NA
03/1990 0.0183 0.0150 -0.0292 0.0064 NA NA NA NA NA NA NA NA
04/1990 -0.0336 -0.0046 -0.0259 0.0069 NA NA NA NA NA NA NA NA
05/1990 0.0842 -0.0253 -0.0383 0.0068 NA NA NA NA NA NA NA NA
06/1990 -0.0109 0.0140 -0.0193 0.0063 NA NA NA NA NA NA NA NA
07/1990 -0.0190 -0.0312 -0.0003 0.0068 NA NA NA NA NA NA NA NA
08/1990 -0.1015 -0.0357 0.0164 0.0066 NA NA NA NA NA NA NA NA
09/1990 -0.0612 -0.0365 0.0064 0.0060 NA NA NA NA NA NA NA NA
10/1990 -0.0192 -0.0557 0.0010 0.0068 NA NA NA NA NA NA NA NA
11/1990 0.0635 0.0043 -0.0310 0.0057 NA NA NA NA NA NA NA NA
12/1990 0.0246 0.0081 -0.0170 0.0060 NA NA NA NA NA NA NA NA
01/1991 0.0469 0.0381 -0.0160 0.0052 NA NA NA NA NA NA NA NA
02/1991 0.0719 0.0395 -0.0058 0.0048 NA NA NA NA NA NA NA NA
03/1991 0.0265 0.0393 -0.0139 0.0044 NA NA NA NA NA NA NA NA
04/1991 -0.0028 0.0048 0.0150 0.0053 NA NA NA NA NA NA NA NA
05/1991 0.0365 -0.0040 -0.0052 0.0047 NA NA NA NA NA NA NA NA
06/1991 -0.0494 0.0013 0.0115 0.0042 NA NA NA NA NA NA NA NA
07/1991 0.0424 -0.0092 -0.0132 0.0049 NA NA NA NA NA NA NA NA
08/1991 0.0232 0.0158 -0.0078 0.0046 NA NA NA NA NA NA NA NA
09/1991 -0.0159 0.0164 -0.0108 0.0046 NA NA NA NA NA NA NA NA
10/1991 0.0129 0.0081 -0.0047 0.0042 NA NA NA NA NA NA NA NA
11/1991 -0.0419 -0.0050 -0.0189 0.0039 NA NA NA NA NA NA NA NA
12/1991 0.1084 -0.0224 -0.0417 0.0038 NA NA NA NA NA NA NA NA
01/1992 -0.0059 0.0846 0.0471 0.0034 NA NA NA NA NA NA NA NA
02/1992 0.0109 0.0087 0.0647 0.0028 NA NA NA NA NA NA NA NA
03/1992 -0.0266 -0.0104 0.0356 0.0034 NA NA NA NA NA NA NA NA
04/1992 0.0107 -0.0606 0.0434 0.0032 NA NA NA NA NA NA NA NA
05/1992 0.0030 0.0041 0.0119 0.0028 NA NA NA NA NA NA NA NA
06/1992 -0.0234 -0.0307 0.0324 0.0032 NA NA NA NA NA NA NA NA
07/1992 0.0377 -0.0047 -0.0056 0.0031 NA NA NA NA NA NA NA NA
08/1992 -0.0238 -0.0013 -0.0110 0.0026 NA NA NA NA NA NA NA NA
09/1992 0.0119 0.0054 -0.0026 0.0026 NA NA NA NA NA NA NA NA
10/1992 0.0102 0.0209 -0.0198 0.0023 NA NA NA NA NA NA NA NA
11/1992 0.0413 0.0376 -0.0135 0.0023 NA NA NA NA NA NA NA NA
12/1992 0.0153 0.0169 0.0262 0.0028 NA NA NA NA NA NA NA NA
01/1993 0.0093 0.0189 0.0594 0.0023 NA NA NA NA NA NA NA NA
02/1993 0.0012 -0.0348 0.0642 0.0022 NA NA NA NA NA NA NA NA
03/1993 0.0230 0.0024 0.0118 0.0025 NA NA NA NA NA NA NA NA
04/1993 -0.0305 -0.0067 0.0249 0.0024 NA NA NA NA NA NA NA NA
05/1993 0.0289 0.0204 -0.0342 0.0022 NA NA NA NA NA NA NA NA
06/1993 0.0031 -0.0029 0.0275 0.0025 NA NA NA NA NA NA NA NA
07/1993 -0.0034 0.0096 0.0285 0.0024 NA NA NA NA NA NA NA NA
08/1993 0.0371 0.0013 0.0013 0.0025 NA NA NA NA NA NA NA NA
09/1993 -0.0012 0.0304 -0.0031 0.0026 NA NA NA NA NA NA NA NA
10/1993 0.0141 0.0203 -0.0276 0.0022 NA NA NA NA NA NA NA NA
11/1993 -0.0189 -0.0125 -0.0074 0.0025 NA NA NA NA NA NA NA NA
12/1993 0.0165 0.0123 0.0032 0.0023 NA NA NA NA NA NA NA NA
01/1994 0.0287 0.0034 0.0115 0.0025 NA NA NA NA NA NA NA NA
02/1994 -0.0255 0.0280 -0.0154 0.0021 NA NA NA NA NA NA NA NA
03/1994 -0.0478 -0.0108 0.0160 0.0027 NA NA NA NA NA NA NA NA
04/1994 0.0068 -0.0093 0.0166 0.0027 NA NA NA NA NA NA NA NA
05/1994 0.0058 -0.0215 0.0067 0.0031 NA NA NA NA NA NA NA NA
06/1994 -0.0303 -0.0041 0.0167 0.0031 NA NA NA NA NA NA NA NA
07/1994 0.0282 -0.0181 0.0058 0.0028 NA NA NA NA NA NA NA NA
08/1994 0.0401 0.0145 -0.0251 0.0037 NA NA NA NA NA NA NA NA
09/1994 -0.0231 0.0314 -0.0189 0.0037 NA NA NA NA NA NA NA NA
10/1994 0.0134 -0.0224 -0.0162 0.0038 NA NA NA NA NA NA NA NA
11/1994 -0.0404 0.0025 -0.0070 0.0037 NA NA NA NA NA NA NA NA
12/1994 0.0086 0.0022 -0.0013 0.0044 NA NA NA NA NA NA NA NA
01/1995 0.0180 -0.0350 0.0257 0.0042 NA NA NA NA NA NA NA NA
02/1995 0.0363 -0.0066 0.0108 0.0040 NA NA NA NA NA NA NA NA
03/1995 0.0219 -0.0016 -0.0215 0.0046 NA NA NA NA NA NA NA NA
04/1995 0.0211 -0.0049 0.0171 0.0044 NA NA NA NA NA NA NA NA
05/1995 0.0290 -0.0255 0.0229 0.0054 NA NA NA NA NA NA NA NA
06/1995 0.0272 0.0318 -0.0254 0.0047 NA NA NA NA NA NA NA NA
07/1995 0.0372 0.0207 -0.0162 0.0045 NA NA NA NA NA NA NA NA
08/1995 0.0055 0.0135 0.0279 0.0047 NA NA NA NA NA NA NA NA
09/1995 0.0335 -0.0220 -0.0004 0.0043 NA NA NA NA NA NA NA NA
10/1995 -0.0152 -0.0378 -0.0050 0.0047 NA NA NA NA NA NA NA NA
11/1995 0.0396 -0.0109 0.0051 0.0042 NA NA NA NA NA NA NA NA
12/1995 0.0103 0.0070 0.0022 0.0049 NA NA NA NA NA NA NA NA
01/1996 0.0226 -0.0273 0.0038 0.0043 NA NA NA NA NA NA NA NA
02/1996 0.0133 0.0179 -0.0108 0.0039 NA NA NA NA NA NA NA NA
03/1996 0.0073 0.0149 0.0035 0.0039 NA NA NA NA NA NA NA NA
04/1996 0.0206 0.0523 -0.0402 0.0046 NA NA NA NA NA NA NA NA
05/1996 0.0236 0.0317 -0.0083 0.0042 NA NA NA NA NA NA NA NA
06/1996 -0.0114 -0.0401 0.0235 0.0040 NA NA NA NA NA NA NA NA
07/1996 -0.0597 -0.0431 0.0514 0.0045 NA NA NA NA NA NA NA NA
08/1996 0.0277 0.0244 -0.0074 0.0041 NA NA NA NA NA NA NA NA
09/1996 0.0501 -0.0098 -0.0272 0.0044 NA NA NA NA NA NA NA NA
10/1996 0.0086 -0.0444 0.0494 0.0042 NA NA NA NA NA NA NA NA
11/1996 0.0625 -0.0402 0.0139 0.0041 NA NA NA NA NA NA NA NA
12/1996 -0.0170 0.0316 0.0131 0.0046 NA NA NA NA NA NA NA NA
01/1997 0.0499 -0.0195 -0.0142 0.0045 NA NA NA NA NA NA NA NA
02/1997 -0.0049 -0.0322 0.0567 0.0039 NA NA NA NA NA NA NA NA
03/1997 -0.0503 -0.0036 0.0339 0.0043 NA NA NA NA NA NA NA NA
04/1997 0.0404 -0.0577 0.0007 0.0043 NA NA NA NA NA NA NA NA
05/1997 0.0674 0.0519 -0.0413 0.0049 NA NA NA NA NA NA NA NA
06/1997 0.0410 0.0122 0.0158 0.0037 NA NA NA NA NA NA NA NA
07/1997 0.0733 -0.0274 0.0026 0.0043 NA NA NA NA NA NA NA NA
08/1997 -0.0415 0.0728 0.0118 0.0041 NA NA NA NA NA NA NA NA
09/1997 0.0535 0.0253 0.0037 0.0044 NA NA NA NA NA NA NA NA
10/1997 -0.0380 -0.0074 0.0227 0.0042 NA NA NA NA NA NA NA NA
11/1997 0.0298 -0.0511 0.0119 0.0039 NA NA NA NA NA NA NA NA
12/1997 0.0132 -0.0249 0.0384 0.0048 NA NA NA NA NA NA NA NA
01/1998 0.0015 -0.0106 -0.0163 0.0043 NA NA NA NA NA NA NA NA
02/1998 0.0704 0.0032 -0.0085 0.0039 NA NA NA NA NA NA NA NA
03/1998 0.0476 -0.0114 0.0139 0.0039 NA NA NA NA NA NA NA NA
04/1998 0.0073 0.0007 0.0094 0.0043 NA NA NA NA NA NA NA NA
05/1998 -0.0307 -0.0336 0.0340 0.0040 NA NA NA NA NA NA NA NA
06/1998 0.0318 -0.0320 -0.0197 0.0041 NA NA NA NA NA NA NA NA
07/1998 -0.0246 -0.0492 -0.0178 0.0040 NA NA NA NA NA NA NA NA
08/1998 -0.1608 -0.0570 0.0353 0.0043 NA NA NA NA NA NA NA NA
09/1998 0.0615 0.0010 -0.0342 0.0046 NA NA NA NA NA NA NA NA
10/1998 0.0713 -0.0312 -0.0223 0.0032 NA NA NA NA NA NA NA NA
11/1998 0.0610 0.0122 -0.0325 0.0031 NA NA NA NA NA NA NA NA
12/1998 0.0616 -0.0050 -0.0419 0.0038 NA NA NA NA NA NA NA NA
01/1999 0.0350 0.0076 -0.0460 0.0035 NA NA NA NA NA NA NA NA
02/1999 -0.0408 -0.0609 0.0192 0.0035 NA NA NA NA NA NA NA NA
03/1999 0.0345 -0.0379 -0.0274 0.0043 NA NA NA NA NA NA NA NA
04/1999 0.0433 0.0391 0.0246 0.0037 NA NA NA NA NA NA NA NA
05/1999 -0.0246 0.0334 0.0235 0.0034 NA NA NA NA NA NA NA NA
06/1999 0.0477 0.0309 -0.0319 0.0040 NA NA NA NA NA NA NA NA
07/1999 -0.0349 0.0260 -0.0044 0.0038 NA NA NA NA NA NA NA NA
08/1999 -0.0138 -0.0094 -0.0187 0.0039 NA NA NA NA NA NA NA NA
09/1999 -0.0279 0.0341 -0.0350 0.0039 NA NA NA NA NA NA NA NA
10/1999 0.0612 -0.0664 -0.0337 0.0039 NA NA NA NA NA NA NA NA
11/1999 0.0337 0.0720 -0.0611 0.0036 NA NA NA NA NA NA NA NA
12/1999 0.0772 0.0702 -0.0832 0.0044 NA NA NA NA NA NA NA NA
01/2000 -0.0474 0.0579 -0.0191 0.0041 NA NA NA NA NA NA NA NA
02/2000 0.0245 0.2142 -0.0970 0.0043 NA NA NA NA NA NA NA NA
03/2000 0.0520 -0.1723 0.0817 0.0047 NA NA NA NA NA NA NA NA
04/2000 -0.0640 -0.0668 0.0726 0.0046 NA NA NA NA NA NA NA NA
05/2000 -0.0442 -0.0609 0.0481 0.0050 NA NA NA NA NA NA NA NA
06/2000 0.0464 0.1285 -0.0843 0.0040 NA NA NA NA NA NA NA NA
07/2000 -0.0251 -0.0306 0.0830 0.0048 NA NA NA NA NA NA NA NA
08/2000 0.0703 -0.0062 -0.0138 0.0050 NA NA NA NA NA NA NA NA
09/2000 -0.0545 -0.0182 0.0717 0.0051 NA NA NA NA NA NA NA NA
10/2000 -0.0276 -0.0387 0.0570 0.0056 NA NA NA NA NA NA NA NA
11/2000 -0.1072 -0.0343 0.1232 0.0051 NA NA NA NA NA NA NA NA
12/2000 0.0119 0.0072 0.0761 0.0050 NA NA NA NA NA NA NA NA
01/2001 0.0313 0.0669 -0.0509 0.0054 NA NA NA NA NA NA NA NA
02/2001 -0.1005 -0.0079 0.1248 0.0038 NA NA NA NA NA NA NA NA
03/2001 -0.0726 0.0024 0.0642 0.0042 NA NA NA NA NA NA NA NA
04/2001 0.0794 0.0055 -0.0468 0.0039 NA NA NA NA NA NA NA NA
05/2001 0.0072 0.0249 0.0338 0.0032 NA NA NA NA NA NA NA NA
06/2001 -0.0194 0.0624 -0.0113 0.0028 NA NA NA NA NA NA NA NA
07/2001 -0.0213 -0.0419 0.0521 0.0030 NA NA NA NA NA NA NA NA
08/2001 -0.0646 0.0248 0.0230 0.0031 NA NA NA NA NA NA NA NA
09/2001 -0.0925 -0.0623 0.0145 0.0028 NA NA NA NA NA NA NA NA
10/2001 0.0246 0.0749 -0.0766 0.0022 NA NA NA NA NA NA NA NA
11/2001 0.0754 -0.0047 0.0222 0.0017 NA NA NA NA NA NA NA NA
12/2001 0.0160 0.0473 0.0085 0.0015 NA NA NA NA NA NA NA NA
01/2002 -0.0144 0.0119 0.0344 0.0014 NA NA NA NA NA NA NA NA
02/2002 -0.0229 -0.0100 0.0216 0.0013 NA NA NA NA NA NA NA NA
03/2002 0.0424 0.0421 0.0106 0.0013 NA NA NA NA NA NA NA NA
04/2002 -0.0520 0.0596 0.0388 0.0015 NA NA NA NA NA NA NA NA
05/2002 -0.0138 -0.0321 0.0153 0.0014 NA NA NA NA NA NA NA NA
06/2002 -0.0721 0.0429 -0.0003 0.0013 NA NA NA NA NA NA NA NA
07/2002 -0.0818 -0.0528 -0.0385 0.0015 NA NA NA NA NA NA NA NA
08/2002 0.0050 -0.0286 0.0329 0.0014 NA NA NA NA NA NA NA NA
09/2002 -0.1035 0.0240 0.0147 0.0014 NA NA NA NA NA NA NA NA
10/2002 0.0784 -0.0340 -0.0394 0.0014 NA NA NA NA NA NA NA NA
11/2002 0.0596 0.0319 -0.0121 0.0012 NA NA NA NA NA NA NA NA
12/2002 -0.0576 0.0009 0.0214 0.0011 NA NA NA NA NA NA NA NA
01/2003 -0.0257 0.0135 -0.0081 0.0010 NA NA NA NA NA NA NA NA
02/2003 -0.0188 -0.0045 -0.0138 0.0009 NA NA NA NA NA NA NA NA
03/2003 0.0109 0.0103 -0.0191 0.0010 NA NA NA NA NA NA NA NA
04/2003 0.0822 0.0066 0.0117 0.0010 NA NA NA NA NA NA NA NA
05/2003 0.0605 0.0474 0.0050 0.0009 NA NA NA NA NA NA NA NA
06/2003 0.0142 0.0177 0.0015 0.0010 NA NA NA NA NA NA NA NA
07/2003 0.0235 0.0505 -0.0124 0.0007 NA NA NA NA NA NA NA NA
08/2003 0.0234 0.0259 0.0154 0.0007 NA NA NA NA NA NA NA NA
09/2003 -0.0124 0.0080 0.0015 0.0008 NA NA NA NA NA NA NA NA
10/2003 0.0608 0.0269 0.0197 0.0007 NA NA NA NA NA NA NA NA
11/2003 0.0135 0.0207 0.0178 0.0007 NA NA NA NA NA NA NA NA
12/2003 0.0429 -0.0268 0.0161 0.0008 NA NA NA NA NA NA NA NA
01/2004 0.0215 0.0255 0.0248 0.0007 NA NA NA NA NA NA NA NA
02/2004 0.0140 -0.0158 0.0091 0.0006 NA NA NA NA NA NA NA NA
03/2004 -0.0132 0.0172 0.0028 0.0009 NA NA NA NA NA NA NA NA
04/2004 -0.0183 -0.0168 -0.0309 0.0008 NA NA NA NA NA NA NA NA
05/2004 0.0117 -0.0020 -0.0024 0.0006 NA NA NA NA NA NA NA NA
06/2004 0.0186 0.0226 0.0119 0.0008 NA NA NA NA NA NA NA NA
07/2004 -0.0406 -0.0381 0.0323 0.0010 NA NA NA NA NA NA NA NA
08/2004 0.0008 -0.0149 0.0100 0.0011 NA NA NA NA NA NA NA NA
09/2004 0.0160 0.0302 -0.0001 0.0011 NA NA NA NA NA NA NA NA
10/2004 0.0143 0.0015 -0.0022 0.0011 NA NA NA NA NA NA NA NA
11/2004 0.0454 0.0374 0.0142 0.0015 NA NA NA NA NA NA NA NA
12/2004 0.0343 -0.0003 -0.0022 0.0016 NA NA NA NA NA NA NA NA
01/2005 -0.0276 -0.0172 0.0206 0.0016 NA NA NA NA NA NA NA NA
02/2005 0.0189 -0.0057 0.0153 0.0016 NA NA NA NA NA NA NA NA
03/2005 -0.0197 -0.0140 0.0204 0.0021 NA NA NA NA NA NA NA NA
04/2005 -0.0261 -0.0393 0.0006 0.0021 NA NA NA NA NA NA NA NA
05/2005 0.0365 0.0289 -0.0064 0.0024 NA NA NA NA NA NA NA NA
06/2005 0.0057 0.0259 0.0282 0.0023 NA NA NA NA NA NA NA NA
07/2005 0.0392 0.0290 -0.0078 0.0024 NA NA NA NA NA NA NA NA
08/2005 -0.0122 -0.0098 0.0132 0.0030 NA NA NA NA NA NA NA NA
09/2005 0.0049 -0.0066 0.0072 0.0029 NA NA NA NA NA NA NA NA
10/2005 -0.0202 -0.0125 0.0043 0.0027 NA NA NA NA NA NA NA NA
11/2005 0.0361 0.0100 -0.0118 0.0031 NA NA NA NA NA NA NA NA
12/2005 -0.0025 -0.0042 0.0020 0.0032 NA NA NA NA NA NA NA NA
01/2006 0.0304 0.0539 0.0108 0.0035 NA NA NA NA NA NA NA NA
02/2006 -0.0030 -0.0038 -0.0035 0.0034 NA NA NA NA NA NA NA NA
03/2006 0.0146 0.0345 0.0059 0.0037 NA NA NA NA NA NA NA NA
04/2006 0.0073 -0.0142 0.0234 0.0036 NA NA NA NA NA NA NA NA
05/2006 -0.0357 -0.0296 0.0242 0.0043 NA NA NA NA NA NA NA NA
06/2006 -0.0035 -0.0039 0.0085 0.0040 NA NA NA NA NA NA NA NA
07/2006 -0.0078 -0.0398 0.0262 0.0040 NA NA NA NA NA NA NA NA
08/2006 0.0203 0.0103 -0.0206 0.0042 NA NA NA NA NA NA NA NA
09/2006 0.0184 -0.0136 0.0008 0.0041 NA NA NA NA NA NA NA NA
10/2006 0.0323 0.0175 -0.0030 0.0041 NA NA NA NA NA NA NA NA
11/2006 0.0171 0.0070 0.0014 0.0042 NA NA NA NA NA NA NA NA
12/2006 0.0087 -0.0115 0.0273 0.0040 NA NA NA NA NA NA NA NA
01/2007 0.0140 0.0013 -0.0069 0.0044 NA NA NA NA NA NA NA NA
02/2007 -0.0196 0.0118 -0.0013 0.0038 NA NA NA NA NA NA NA NA
03/2007 0.0068 0.0016 -0.0096 0.0043 NA NA NA NA NA NA NA NA
04/2007 0.0349 -0.0215 -0.0146 0.0044 NA NA NA NA NA NA NA NA
05/2007 0.0324 0.0024 -0.0065 0.0041 NA NA NA NA NA NA NA NA
06/2007 -0.0196 0.0076 -0.0107 0.0040 NA NA NA NA NA NA NA NA
07/2007 -0.0373 -0.0260 -0.0372 0.0040 NA NA NA NA NA NA NA NA
08/2007 0.0092 -0.0013 -0.0186 0.0042 NA NA NA NA NA NA NA NA
09/2007 0.0322 -0.0222 -0.0223 0.0032 NA NA NA NA NA NA NA NA
10/2007 0.0180 0.0013 -0.0305 0.0032 NA NA NA NA NA NA NA NA
11/2007 -0.0483 -0.0292 -0.0095 0.0034 NA NA NA NA NA NA NA NA
12/2007 -0.0087 0.0012 -0.0054 0.0027 NA NA NA NA NA NA NA NA
01/2008 -0.0636 -0.0104 0.0398 0.0021 NA NA NA NA NA NA NA NA
02/2008 -0.0309 -0.0043 -0.0084 0.0013 NA NA NA NA NA NA NA NA
03/2008 -0.0093 0.0071 0.0030 0.0017 NA NA NA NA NA NA NA NA
04/2008 0.0460 -0.0165 -0.0104 0.0018 NA NA NA NA NA NA NA NA
05/2008 0.0186 0.0300 -0.0149 0.0018 NA NA NA NA NA NA NA NA
06/2008 -0.0844 0.0120 -0.0267 0.0017 NA NA NA NA NA NA NA NA
07/2008 -0.0077 0.0261 0.0542 0.0015 NA NA NA NA NA NA NA NA
08/2008 0.0153 0.0360 0.0159 0.0013 NA NA NA NA NA NA NA NA
09/2008 -0.0924 -0.0123 0.0592 0.0015 NA NA NA NA NA NA NA NA
10/2008 -0.1723 -0.0260 -0.0230 0.0008 NA NA NA NA NA NA NA NA
11/2008 -0.0786 -0.0285 -0.0631 0.0003 NA NA NA NA NA NA NA NA
12/2008 0.0174 0.0346 0.0015 0.0000 NA NA NA NA NA NA NA NA
01/2009 -0.0812 0.0008 -0.1129 0.0000 NA NA NA NA NA NA NA NA
02/2009 -0.1010 0.0005 -0.0695 0.0001 NA NA NA NA NA NA NA NA
03/2009 0.0895 0.0004 0.0348 0.0002 NA NA NA NA NA NA NA NA
04/2009 0.1018 0.0539 0.0536 0.0001 NA NA NA NA NA NA NA NA
05/2009 0.0521 -0.0252 0.0027 0.0000 NA NA NA NA NA NA NA NA
06/2009 0.0043 0.0263 -0.0273 0.0001 NA NA NA NA NA NA NA NA
07/2009 0.0772 0.0187 0.0484 0.0001 NA NA NA NA NA NA NA NA
08/2009 0.0333 -0.0108 0.0763 0.0001 NA NA NA NA NA NA NA NA
09/2009 0.0408 0.0243 0.0104 0.0001 NA NA NA NA NA NA NA NA
10/2009 -0.0259 -0.0434 -0.0420 0.0000 NA NA NA NA NA NA NA NA
11/2009 0.0556 -0.0239 -0.0034 0.0000 NA NA NA NA NA NA NA NA
12/2009 0.0275 0.0604 -0.0017 0.0001 NA NA NA NA NA NA NA NA
01/2010 -0.0336 0.0040 0.0043 0.0000 0.0311949 0.0460387 0.0177633 0.0447509 0.0026678 -0.0034242 0.0545699 0.0327482
02/2010 0.0340 0.0119 0.0323 0.0000 0.0608794 0.0771094 0.0811093 0.0823071 0.0638539 -0.0205731 0.0974854 -0.0043864
03/2010 0.0631 0.0148 0.0221 0.0001 0.0154704 0.0224254 -0.0016621 0.0567849 -0.0280458 0.0332179 0.0638808 0.0588344
04/2010 0.0200 0.0487 0.0289 0.0001 -0.0794548 -0.0739238 -0.0939355 -0.0753664 -0.1119279 0.0510835 -0.0568353 0.0305131
05/2010 -0.0789 0.0009 -0.0244 0.0001 -0.0517411 -0.0597570 -0.0139867 -0.0774341 -0.0206195 0.0579779 -0.0467012 0.0235532
06/2010 -0.0557 -0.0182 -0.0470 0.0001 0.0683009 0.0725826 0.1093249 0.0673090 0.1161042 -0.0094636 0.0940476 -0.0508712
07/2010 0.0693 0.0022 -0.0033 0.0001 -0.0449805 -0.0512986 -0.0323673 -0.0744386 -0.0379503 0.0839096 -0.0129717 0.0570613
08/2010 -0.0477 -0.0298 -0.0193 0.0001 0.0895546 0.1317283 0.1175736 0.1244530 0.0997194 -0.0252032 0.0462964 0.0477556
09/2010 0.0954 0.0397 -0.0318 0.0001 0.0382019 0.0633786 0.0301546 0.0414816 0.0380557 -0.0446929 0.0393347 0.0368227
10/2010 0.0388 0.0119 -0.0251 0.0001 0.0000000 -0.0017249 -0.0290550 0.0348508 -0.0482371 -0.0168932 -0.0158297 0.0211130
11/2010 0.0060 0.0374 -0.0092 0.0001 0.0668524 0.0475712 0.0727783 0.0803332 0.0830807 -0.0369906 0.0457407 0.0243687
12/2010 0.0682 0.0069 0.0376 0.0001 0.0233004 0.0282774 -0.0384132 -0.0037065 0.0209548 -0.0308120 0.0357396 -0.0637976
01/2011 0.0199 -0.0245 0.0075 0.0001 0.0347372 0.0316072 -0.0004368 0.0554203 0.0354978 0.0165021 0.0452038 0.0599831
02/2011 0.0349 0.0153 0.0127 0.0001 0.0001200 -0.0044826 0.0628957 0.0252308 -0.0238829 0.0002932 -0.0109350 0.0159814
03/2011 0.0046 0.0256 -0.0185 0.0001 0.0289617 0.0287305 0.0273270 0.0263753 0.0562585 0.0233913 0.0466333 0.0894465
04/2011 0.0290 -0.0033 -0.0249 0.0000 -0.0112148 -0.0121868 -0.0293999 -0.0179421 -0.0220610 0.0342285 0.0101334 -0.0179169
05/2011 -0.0127 -0.0067 -0.0200 0.0000 -0.0168697 -0.0202548 -0.0093551 -0.0240454 -0.0121078 -0.0232312 -0.0310599 -0.0243250
06/2011 -0.0175 -0.0015 -0.0039 0.0000 -0.0200048 0.0166521 -0.0102939 -0.0340610 -0.0237777 0.0441454 0.0021561 0.0841780
07/2011 -0.0235 -0.0127 -0.0090 0.0000 -0.0549755 -0.0506898 -0.0925491 -0.0889149 -0.0875489 0.0966755 -0.0531193 0.1227494
08/2011 -0.0599 -0.0305 -0.0236 0.0001 -0.0694205 -0.0449081 -0.1789475 -0.1115026 -0.1080832 0.1320612 -0.1066822 -0.1106235
09/2011 -0.0759 -0.0331 -0.0172 0.0000 0.1091468 0.1040200 0.1626776 0.1510108 0.0962747 -0.0382930 0.1318964 0.0587119
10/2011 0.1135 0.0328 0.0010 0.0000 -0.0040636 -0.0269200 -0.0196030 -0.0037834 -0.0217639 0.0198912 -0.0366878 0.0166727
11/2011 -0.0028 -0.0016 -0.0045 0.0000 0.0104484 -0.0061416 -0.0426481 0.0051508 -0.0217494 0.0344495 0.0410742 -0.1066243
12/2011 0.0074 -0.0059 0.0163 0.0000 0.0463745 0.0841837 0.1099108 0.0714570 0.0526957 -0.0032994 0.0660092 0.1139548
01/2012 0.0505 0.0203 -0.0097 0.0000 0.0434055 0.0641006 0.0527188 0.0256896 0.0483311 -0.0259698 -0.0069352 -0.0296498
02/2012 0.0442 -0.0185 0.0043 0.0000 0.0321638 0.0505306 -0.0311300 0.0248480 0.0042079 -0.0423604 0.0449299 -0.0132083
03/2012 0.0311 -0.0065 0.0114 0.0000 -0.0066756 -0.0116952 -0.0169962 -0.0161820 -0.0207688 0.0483425 0.0258426 -0.0014803
04/2012 -0.0085 -0.0041 -0.0078 0.0000 -0.0600561 -0.0704011 -0.1070584 -0.0657910 -0.1114419 0.0902537 -0.0420906 -0.0633803
05/2012 -0.0619 0.0007 -0.0106 0.0001 0.0405813 0.0362143 0.0503536 0.0505208 0.0704331 -0.0167824 0.0536527 0.0235458
06/2012 0.0389 0.0067 0.0062 0.0000 0.0118295 0.0099750 -0.0002556 -0.0152085 0.0008008 0.0381728 0.0233031 0.0083768
07/2012 0.0079 -0.0277 -0.0002 0.0000 0.0250525 0.0518518 0.0040900 0.0353539 0.0320000 -0.0131885 0.0030569 0.0493961
08/2012 0.0255 0.0048 0.0130 0.0001 0.0253512 0.0088843 0.0521895 0.0326096 0.0271319 -0.0253276 -0.0111773 0.0467056
09/2012 0.0273 0.0051 0.0160 0.0001 -0.0181984 -0.0527928 -0.0043550 -0.0216923 0.0109433 -0.0048402 -0.0059022 -0.0294374
10/2012 -0.0176 -0.0116 0.0359 0.0001 0.0056599 0.0130869 0.0155525 0.0055125 0.0278087 0.0115923 -0.0057814 -0.0046754
11/2012 0.0078 0.0064 -0.0084 0.0001 0.0089344 -0.0046693 0.0680363 0.0361885 0.0438116 -0.0248772 0.0288548 -0.0242698
12/2012 0.0118 0.0150 0.0351 0.0001 0.0511902 0.0267160 -0.0029313 0.0623814 0.0372847 -0.0318533 0.0402042 -0.0050611
01/2013 0.0557 0.0033 0.0096 0.0000 0.0127588 0.0034392 -0.0228404 0.0100468 -0.0128858 0.0123865 0.0126357 -0.0508685
02/2013 0.0129 -0.0028 0.0011 0.0000 0.0379711 0.0302476 -0.0101828 0.0465902 0.0130540 -0.0041944 0.0286498 0.0094771
03/2013 0.0403 0.0081 -0.0019 0.0000 0.0192124 0.0253736 0.0121583 -0.0034940 0.0501865 0.0468496 0.0572826 -0.0756231
04/2013 0.0155 -0.0236 0.0045 0.0000 0.0236098 0.0357752 -0.0482792 0.0393195 -0.0301906 -0.0676094 -0.0649335 -0.0619879
05/2013 0.0280 0.0173 0.0263 0.0000 -0.0133446 -0.0239529 -0.0532576 -0.0081800 -0.0267793 -0.0327131 -0.0238270 -0.1105884
06/2013 -0.0120 0.0133 0.0003 0.0000 0.0516769 0.0631400 0.0132466 0.0733419 0.0532287 -0.0225799 0.0024085 0.0743011
07/2013 0.0565 0.0186 0.0057 0.0000 -0.0299921 -0.0039590 -0.0253782 -0.0316420 -0.0195526 -0.0134037 -0.0653251 0.0520475
08/2013 -0.0271 0.0028 -0.0269 0.0000 0.0316464 0.0483217 0.0720675 0.0648914 0.0782491 0.0065171 0.0345019 -0.0478384
09/2013 0.0377 0.0291 -0.0122 0.0000 0.0463066 0.0495691 0.0417078 0.0242004 0.0326019 0.0143047 0.0373097 -0.0034326
10/2013 0.0418 -0.0156 0.0125 0.0000 0.0296380 0.0355115 -0.0025908 0.0395642 0.0054645 -0.0270326 -0.0463958 -0.0551120
11/2013 0.0313 0.0129 0.0032 0.0000 0.0259264 0.0292712 -0.0040662 0.0202108 0.0217613 -0.0186966 0.0090471 -0.0379453
12/2013 0.0281 -0.0045 -0.0002 0.0000 -0.0352484 -0.0192136 -0.0863633 -0.0277392 -0.0520118 0.0630272 0.0344009 0.0341887
01/2014 -0.0332 0.0090 -0.0207 0.0000 0.0455159 0.0515244 0.0337785 0.0477890 0.0613111 0.0052408 0.0475096 0.0627030
02/2014 0.0465 0.0037 -0.0031 0.0000 0.0082955 -0.0273357 0.0387533 -0.0074847 -0.0045919 0.0073220 0.0014517 -0.0314214
03/2014 0.0043 -0.0185 0.0493 0.0000 0.0069512 -0.0031939 0.0078034 -0.0374765 0.0166667 0.0209522 0.0302943 0.0049349
04/2014 -0.0019 -0.0420 0.0117 0.0000 0.0232065 0.0448565 0.0295184 0.0078586 0.0159544 0.0294950 0.0279689 -0.0305104
05/2014 0.0206 -0.0188 -0.0013 0.0000 0.0206451 0.0312383 0.0240180 0.0527203 0.0092075 -0.0025131 0.0101261 0.0631902
06/2014 0.0261 0.0308 -0.0070 0.0000 -0.0134378 0.0118196 0.0136479 -0.0605433 -0.0260348 0.0066418 -0.0011144 -0.0363167
07/2014 -0.0204 -0.0429 0.0003 0.0000 0.0394636 0.0500945 0.0282976 0.0482957 0.0018020 0.0472377 0.0347230 0.0038091
08/2014 0.0424 0.0040 -0.0045 0.0000 -0.0137964 -0.0075661 -0.0776742 -0.0592790 -0.0388245 -0.0211234 -0.0589060 -0.0617633
09/2014 -0.0197 -0.0372 -0.0134 0.0000 0.0235508 0.0264199 0.0141962 0.0659348 -0.0026513 0.0281859 0.0835264 -0.0305481
10/2014 0.0252 0.0420 -0.0181 0.0000 0.0274721 0.0454633 -0.0154211 0.0011154 0.0006254 0.0296739 0.0272072 -0.0048820
11/2014 0.0255 -0.0206 -0.0309 0.0000 -0.0025361 -0.0224064 -0.0396354 0.0289295 -0.0399277 0.0325131 0.0080497 0.0131121
12/2014 -0.0006 0.0249 0.0227 0.0000 -0.0296294 -0.0208232 -0.0068718 -0.0327707 0.0062460 0.0981576 0.0571320 0.0868991
01/2015 -0.0311 -0.0055 -0.0358 0.0000 0.0562041 0.0722058 0.0440797 0.0594640 0.0633780 -0.0613833 -0.0259755 -0.0590522
02/2015 0.0613 0.0061 -0.0186 0.0000 -0.0157054 -0.0235897 -0.0149728 0.0177000 -0.0142858 0.0109221 0.0107451 -0.0215220
03/2015 -0.0112 0.0304 -0.0037 0.0000 0.0098338 0.0192234 0.0685271 -0.0256493 0.0364657 -0.0342517 -0.0481599 -0.0016717
04/2015 0.0059 -0.0303 0.0182 0.0000 0.0128562 0.0224847 -0.0410449 0.0223636 0.0019548 -0.0237246 -0.0033108 0.0055521
05/2015 0.0136 0.0092 -0.0114 0.0000 -0.0203119 -0.0248410 -0.0293085 0.0078296 -0.0311824 -0.0407198 -0.0439793 -0.0151621
06/2015 -0.0153 0.0290 -0.0079 0.0000 0.0225892 0.0455778 -0.0630994 -0.0110395 0.0203180 0.0454598 0.0495089 -0.0662099
07/2015 0.0154 -0.0419 -0.0413 0.0000 -0.0609504 -0.0682449 -0.0883621 -0.0631099 -0.0742512 -0.0068947 -0.0581319 0.0370723
08/2015 -0.0604 0.0033 0.0277 0.0000 -0.0255159 -0.0220728 -0.0313238 -0.0493633 -0.0441887 0.0196683 0.0161537 -0.0180114
09/2015 -0.0307 -0.0263 0.0056 0.0000 0.0850599 0.1136987 0.0637583 0.0562269 0.0661200 -0.0040878 0.0621567 0.0228336
10/2015 0.0775 -0.0187 -0.0046 0.0000 0.0036552 0.0060884 -0.0252365 0.0325995 -0.0075275 -0.0086764 -0.0019908 -0.0675206
11/2015 0.0056 0.0359 -0.0042 0.0000 -0.0172827 -0.0159477 -0.0381983 -0.0503040 -0.0233187 -0.0029723 0.0110531 -0.0045133
12/2015 -0.0217 -0.0282 -0.0261 0.0001 -0.0497865 -0.0691044 -0.0503263 -0.0857751 -0.0551773 0.0557308 -0.0410230 0.0541100
01/2016 -0.0577 -0.0343 0.0209 0.0001 -0.0008260 -0.0156535 -0.0081780 -0.0022339 -0.0333453 0.0308593 -0.0075001 0.1093034
02/2016 -0.0007 0.0071 -0.0057 0.0002 0.0672658 0.0685261 0.1296177 0.0801342 0.0658213 -0.0009327 0.1025512 -0.0084289
03/2016 0.0696 0.0082 0.0119 0.0002 0.0039414 -0.0318681 0.0040876 0.0167227 0.0222182 -0.0073651 -0.0166966 0.0510881
04/2016 0.0091 0.0074 0.0328 0.0001 0.0170115 0.0437003 -0.0369295 0.0224039 -0.0008555 0.0080545 0.0220742 -0.0613830
05/2016 0.0178 -0.0018 -0.0166 0.0001 0.0034757 -0.0227803 0.0455912 -0.0001739 -0.0241943 0.0693414 0.0624317 0.0896950
06/2016 -0.0005 0.0060 -0.0148 0.0002 0.0364714 0.0715084 0.0538417 0.0587487 0.0397708 0.0210252 0.0365332 0.0198466
07/2016 0.0395 0.0251 -0.0127 0.0002 0.0011975 0.0105007 0.0088375 0.0178412 0.0053410 -0.0101351 -0.0334897 -0.0325632
08/2016 0.0049 0.0118 0.0313 0.0002 0.0000578 0.0221356 0.0251843 0.0107383 0.0133676 -0.0150838 -0.0147268 0.0068921
09/2016 0.0025 0.0213 -0.0123 0.0002 -0.0173369 -0.0145724 -0.0082773 -0.0459706 -0.0221546 -0.0438062 -0.0496034 -0.0294492
10/2016 -0.0202 -0.0442 0.0412 0.0002 0.0368383 0.0043594 -0.0441572 0.1106329 -0.0178137 -0.0821372 -0.0233560 -0.0835657
11/2016 0.0486 0.0567 0.0819 0.0001 0.0202718 0.0113223 -0.0025270 0.0288446 0.0270625 -0.0046263 0.0423405 -0.0191499
12/2016 0.0181 0.0008 0.0356 0.0003 0.0178949 0.0514012 0.0665526 0.0028178 0.0329119 0.0081426 0.0012999 0.0541922
01/2017 0.0194 -0.0114 -0.0276 0.0004 0.0392915 0.0437507 0.0174076 0.0193004 0.0119066 0.0158459 0.0437432 0.0318477
02/2017 0.0357 -0.0202 -0.0168 0.0004 0.0012498 0.0202682 0.0368519 0.0002604 0.0323169 -0.0065512 -0.0145296 -0.0042775
03/2017 0.0017 0.0114 -0.0332 0.0003 0.0099263 0.0272704 0.0170094 0.0114927 0.0242413 0.0157318 0.0056056 0.0172675
04/2017 0.0109 0.0072 -0.0210 0.0005 0.0141129 0.0389733 0.0284572 -0.0197036 0.0354233 0.0188790 -0.0011400 -0.0012420
05/2017 0.0106 -0.0252 -0.0378 0.0006 0.0063749 -0.0231795 0.0092664 0.0337441 0.0029604 0.0079188 0.0207999 -0.0215553
06/2017 0.0078 0.0223 0.0148 0.0006 0.0205543 0.0406133 0.0582266 0.0085244 0.0265339 -0.0065832 0.0111572 0.0231317
07/2017 0.0187 -0.0146 -0.0024 0.0007 0.0029176 0.0207359 0.0235162 -0.0125784 -0.0004485 0.0340870 0.0066946 0.0419876
08/2017 0.0016 -0.0167 -0.0209 0.0009 0.0201494 -0.0029523 -0.0004461 0.0630411 0.0236176 -0.0232294 -0.0078509 -0.0336989
09/2017 0.0251 0.0446 0.0312 0.0009 0.0235642 0.0460639 0.0328049 0.0072883 0.0167932 -0.0003856 0.0005011 -0.0074848
10/2017 0.0225 -0.0193 0.0021 0.0009 0.0305657 0.0197173 -0.0038892 0.0294120 0.0068934 0.0074322 0.0256506 0.0035634
11/2017 0.0312 -0.0058 -0.0008 0.0008 0.0121282 0.0060311 0.0376155 -0.0039851 0.0134885 0.0181257 -0.0012327 0.0210570
12/2017 0.0106 -0.0132 0.0005 0.0009 0.0563590 0.0875705 0.0829796 0.0255804 0.0502063 -0.0325552 -0.0302432 0.0323494
01/2018 0.0557 -0.0315 -0.0133 0.0012 -0.0363606 -0.0129278 -0.0589850 -0.0384369 -0.0483477 -0.0304144 -0.0665732 -0.0207599
02/2018 -0.0365 0.0023 -0.0107 0.0011 -0.0274105 -0.0407882 0.0054145 0.0121755 -0.0083961 0.0285961 0.0377195 0.0063200
03/2018 -0.0235 0.0405 -0.0023 0.0011 0.0051682 0.0050582 -0.0281691 0.0098137 0.0152123 -0.0208812 0.0022524 -0.0095397
04/2018 0.0028 0.0114 0.0054 0.0014 0.0243090 0.0567292 -0.0262147 0.0616356 -0.0189425 0.0200442 0.0337124 -0.0119592
05/2018 0.0265 0.0526 -0.0318 0.0014 0.0057510 0.0114505 -0.0454569 0.0061437 -0.0158411 0.0064577 0.0405946 -0.0361494
06/2018 0.0048 0.0115 -0.0233 0.0014 0.0370464 0.0279641 0.0353105 0.0164904 0.0285204 -0.0143686 0.0083148 -0.0224189
07/2018 0.0319 -0.0223 0.0047 0.0016 0.0319198 0.0578067 -0.0376728 0.0431061 -0.0223577 0.0131204 0.0237539 -0.0213811
08/2018 0.0344 0.0113 -0.0398 0.0016 0.0059458 -0.0028165 -0.0057911 -0.0232500 0.0096525 -0.0286431 -0.0285341 -0.0066073
09/2018 0.0006 -0.0228 -0.0169 0.0015 -0.0691045 -0.0859573 -0.0876051 -0.1098784 -0.0813356 -0.0293055 -0.0238690 0.0211955
10/2018 -0.0768 -0.0477 0.0344 0.0019 0.0185493 -0.0026498 0.0490298 0.0172631 0.0049632 0.0178723 0.0469849 0.0033869
11/2018 0.0169 -0.0068 0.0028 0.0018 -0.0880486 -0.0866072 -0.0348888 -0.1197214 -0.0534975 0.0585352 -0.0782228 0.0494201
12/2018 -0.0957 -0.0237 -0.0185 0.0020 0.0800657 0.0901077 0.1034305 0.1132190 0.0663491 0.0037856 0.1147587 0.0288660
01/2019 0.0840 0.0289 -0.0046 0.0021 0.0324161 0.0299119 -0.0153132 0.0517911 0.0253667 -0.0137639 0.0073019 -0.0060922
02/2019 0.0340 0.0205 -0.0267 0.0018 0.0181003 0.0392459 0.0113102 -0.0209330 0.0091802 0.0557167 0.0417091 -0.0159690
03/2019 0.0110 -0.0303 -0.0410 0.0019 0.0408523 0.0549927 0.0235320 0.0339668 0.0292938 -0.0199110 -0.0004597 -0.0066388
04/2019 0.0397 -0.0174 0.0214 0.0021 -0.0637710 -0.0822517 -0.0732985 -0.0785266 -0.0503295 0.0683926 -0.0014942 0.0175743
05/2019 -0.0694 -0.0131 -0.0235 0.0021 0.0695862 0.0759004 0.0620777 0.0698489 0.0591166 0.0095011 0.0127906 0.0800291
06/2019 0.0693 0.0027 -0.0072 0.0018 0.0151195 0.0233480 -0.0265675 0.0068166 -0.0194737 0.0025648 0.0238233 0.0000751
07/2019 0.0119 -0.0193 0.0047 0.0019 -0.0167432 -0.0189954 -0.0378260 -0.0493103 -0.0192397 0.1104921 0.0343439 0.0791231
08/2019 -0.0258 -0.0237 -0.0477 0.0016 0.0194578 0.0091790 0.0169196 0.0203707 0.0316405 -0.0267994 0.0189003 -0.0339479
09/2019 0.0143 -0.0097 0.0674 0.0018 0.0221045 0.0438007 0.0418400 0.0271574 0.0338905 -0.0111318 0.0076974 0.0256355
10/2019 0.0206 0.0029 -0.0192 0.0016 0.0361984 0.0406940 -0.0009394 0.0406564 0.0112727 -0.0040718 -0.0112458 -0.0320859
11/2019 0.0387 0.0079 -0.0200 0.0012 0.0290554 0.0388637 0.0773027 0.0278651 0.0299541 -0.0319748 0.0085756 0.0365588
12/2019 0.0277 0.0073 0.0177 0.0014 -0.0004038 0.0303844 -0.0615110 -0.0310254 -0.0282259 0.0769117 0.0160079 0.0449966
01/2020 -0.0011 -0.0311 -0.0623 0.0013 -0.0791658 -0.0605744 -0.0377582 -0.0884571 -0.0776527 0.0662649 -0.0758171 -0.0063617
02/2020 -0.0813 0.0107 -0.0379 0.0012 -0.1248712 -0.0728585 -0.1577000 -0.2147709 -0.1410668 0.0637665 -0.1963242 -0.0022240
03/2020 -0.1339 -0.0486 -0.1395 0.0013 0.1269833 0.1497376 0.0735424 0.1384764 0.0581743 0.0121900 0.0931437 0.0726106
04/2020 0.1365 0.0247 -0.0126 0.0000 0.0476453 0.0660087 0.0297489 0.0659196 0.0542691 -0.0176195 0.0180144 0.0258816
05/2020 0.0558 0.0247 -0.0489 0.0001 0.0177347 0.0628668 0.0660491 0.0342994 0.0351118 0.0033661 0.0247161 0.0273770
06/2020 0.0246 0.0270 -0.0217 0.0001 0.0588923 0.0734651 0.0825205 0.0291939 0.0193856 0.0443517 0.0412386 0.1079046
07/2020 0.0577 -0.0232 -0.0137 0.0001 0.0697966 0.1094474 0.0288752 0.0547640 0.0472201 -0.0504657 0.0023153 -0.0032357
08/2020 0.0763 -0.0022 -0.0296 0.0001 -0.0374437 -0.0577863 -0.0101033 -0.0326131 -0.0204679 0.0077346 -0.0234139 -0.0417140
09/2020 -0.0363 0.0004 -0.0268 0.0001 -0.0249336 -0.0304491 0.0140622 0.0220308 -0.0355067 -0.0338522 -0.0291834 -0.0051942
10/2020 -0.0210 0.0437 0.0422 0.0001 0.1087768 0.1122578 0.0899127 0.1824417 0.1426945 0.0166390 0.0857955 -0.0540863
11/2020 0.1247 0.0581 0.0213 0.0001 0.0370485 0.0490243 0.0712945 0.0864646 0.0501538 -0.0122764 0.0250340 0.0701386
12/2020 0.0463 0.0489 -0.0150 0.0001 -0.0101904 0.0026136 0.0317400 0.0484544 -0.0078125 -0.0363282 -0.0043200 -0.0322382
01/2021 -0.0003 0.0734 0.0297 0.0001 0.0278054 -0.0013351 0.0078785 0.0620258 0.0223791 -0.0573293 0.0242730 -0.0625688
02/2021 0.0278 0.0206 0.0717 0.0000 0.0453993 0.0171677 -0.0072585 0.0139504 0.0251316 -0.0524529 0.0577406 -0.0114331
03/2021 0.0308 -0.0237 0.0739 0.0000 0.0529104 0.0590981 0.0119985 0.0178781 0.0295239 0.0249513 0.0788558 0.0356339
04/2021 0.0493 -0.0320 -0.0095 0.0000 0.0065661 -0.0120122 0.0164876 0.0027123 0.0348228 0.0000217 0.0100817 0.0767838
05/2021 0.0029 -0.0025 0.0709 0.0000 0.0224274 0.0626214 0.0095041 0.0186899 -0.0107801 0.0441910 0.0225841 -0.0714766
06/2021 0.0275 0.0170 -0.0783 0.0000 0.0244126 0.0286091 -0.0643700 -0.0362733 0.0077332 0.0371663 0.0468902 0.0252974
07/2021 0.0127 -0.0399 -0.0178 0.0000 0.0297598 0.0421870 0.0156977 0.0220312 0.0144672 -0.0034017 0.0193966 -0.0007655
08/2021 0.0291 -0.0043 -0.0015 0.0000 -0.0466055 -0.0568315 -0.0387331 -0.0288036 -0.0326139 -0.0290700 -0.0562687 -0.0322353
09/2021 -0.0437 0.0072 0.0509 0.0000 0.0701634 0.0786399 0.0107186 0.0425143 0.0317907 0.0246503 0.0727610 0.0147972
10/2021 0.0665 -0.0234 -0.0049 0.0000 -0.0080348 0.0199685 -0.0408485 -0.0433237 -0.0453473 0.0277146 -0.0241260 -0.0069007
11/2021 -0.0155 -0.0132 -0.0045 0.0000 0.0462477 0.0115234 0.0150708 0.0227149 0.0439094 -0.0201376 0.0946916 0.0329910
12/2021 0.0310 -0.0165 0.0326 0.0001 -0.0527412 -0.0874701 -0.0002048 -0.0953472 -0.0363497 -0.0391394 -0.0823143 -0.0167876
01/2022 -0.0625 -0.0593 0.1275 0.0000 -0.0295170 -0.0447598 -0.0432023 0.0103359 -0.0342919 -0.0163299 -0.0458811 0.0612173
02/2022 -0.0229 0.0221 0.0308 0.0000 0.0375904 0.0466789 -0.0338112 0.0115752 0.0051898 -0.0544438 0.0686461 0.0127256
03/2022 0.0305 -0.0160 -0.0180 0.0001 -0.0877691 -0.1359574 -0.0613510 -0.0989916 -0.0673914 -0.0942385 -0.0413048 -0.0207030
04/2022 -0.0946 -0.0140 0.0617 0.0001 0.0022574 -0.0158659 0.0061349 0.0019465 0.0199594 -0.0225332 -0.0444337 -0.0326155
05/2022 -0.0034 -0.0183 0.0839 0.0003 -0.0824605 -0.0890789 -0.0515766 -0.0836635 -0.0876664 -0.0127456 -0.0689109 -0.0156597
06/2022 -0.0843 0.0210 -0.0598 0.0006 0.0920874 0.1255174 -0.0034913 0.1056330 0.0516882 0.0243102 0.0886061 -0.0258815
07/2022 0.0957 0.0280 -0.0410 0.0008 -0.0408020 -0.0513219 -0.0132633 -0.0200268 -0.0611686 -0.0455310 -0.0586237 -0.0294333
08/2022 -0.0377 0.0137 0.0030 0.0019 -0.0924458 -0.1053553 -0.1153943 -0.0966044 -0.0922205 -0.0823510 -0.1271344 -0.0288818
09/2022 -0.0935 -0.0079 0.0006 0.0019 0.0812755 0.0399984 -0.0197822 0.1116299 0.0589181 -0.0596441 0.0315648 -0.0178444
10/2022 0.0783 0.0009 0.0805 0.0023 0.0555916 0.0554416 0.1558936 0.0220367 0.1316809 0.0715105 0.0616740 0.0849187
11/2022 0.0460 -0.0340 0.0138 0.0029 -0.0576282 -0.0901367 -0.0263750 -0.0651412 -0.0181290 -0.0262004 -0.0473349 0.0293065
12/2022 -0.0641 -0.0068 0.0132 0.0033 0.0628874 0.1064292 0.0912928 0.0981875 0.0900365 0.0764363 0.0997743 0.0575926
01/2023 0.0665 0.0502 -0.0405 0.0035 -0.0251427 -0.0035978 -0.0756770 -0.0172341 -0.0307478 -0.0485055 -0.0596176 -0.0536760
02/2023 -0.0258 0.0121 -0.0078 0.0034 0.0370778 0.0949272 0.0321737 -0.0484734 0.0312905 0.0483935 -0.0193699 0.0791613
03/2023 0.0251 -0.0559 -0.0901 0.0036 0.0159749 0.0050790 -0.0083629 -0.0179372 0.0293626 0.0033835 0.0091872 0.0086235
04/2023 0.0061 -0.0334 -0.0003 0.0035 0.0046162 0.0788380 -0.0240225 -0.0081620 -0.0400707 -0.0301529 -0.0402660 -0.0134199
NA NA NA NA NA NA NA NA NA NA NA NA NA
NA NA NA NA NA NA NA NA NA NA NA NA NA
NA 0.2947 -0.0204 -0.0454 0.0312 NA NA NA NA NA NA NA NA
NA 0.3539 0.0451 -0.0617 0.0356 NA NA NA NA NA NA NA NA
NA -0.1954 -0.3070 0.1167 0.0475 NA NA NA NA NA NA NA NA
NA -0.3123 -0.0517 -0.1154 0.0241 NA NA NA NA NA NA NA NA
NA -0.4511 0.0370 -0.1395 0.0107 NA NA NA NA NA NA NA NA
NA -0.0939 0.0440 0.1111 0.0096 NA NA NA NA NA NA NA NA
NA 0.5705 0.4545 0.3239 0.0030 NA NA NA NA NA NA NA NA
NA 0.0302 0.2515 -0.2767 0.0016 NA NA NA NA NA NA NA NA
NA 0.4496 0.1060 0.1023 0.0017 NA NA NA NA NA NA NA NA
NA 0.3207 0.1760 0.3455 0.0018 NA NA NA NA NA NA NA NA
NA -0.3496 -0.1414 -0.0409 0.0031 NA NA NA NA NA NA NA NA
NA 0.2848 0.0928 -0.1202 -0.0002 NA NA NA NA NA NA NA NA
NA 0.0270 0.0586 -0.1923 0.0002 NA NA NA NA NA NA NA NA
NA -0.0714 0.0076 -0.0085 0.0000 NA NA NA NA NA NA NA NA
NA -0.1053 -0.0404 0.1113 0.0006 NA NA NA NA NA NA NA NA
NA 0.1620 0.0496 0.1982 0.0027 NA NA NA NA NA NA NA NA
NA 0.2796 0.3318 0.3871 0.0035 NA NA NA NA NA NA NA NA
NA 0.2097 0.1790 0.1592 0.0033 NA NA NA NA NA NA NA NA
NA 0.3838 0.2538 0.1080 0.0033 NA NA NA NA NA NA NA NA
NA -0.0673 -0.0399 0.0311 0.0035 NA NA NA NA NA NA NA NA
NA 0.0295 -0.0699 0.0987 0.0050 NA NA NA NA NA NA NA NA
NA 0.0107 -0.0911 0.0374 0.0081 NA NA NA NA NA NA NA NA
NA 0.1912 0.0375 -0.0425 0.0110 NA NA NA NA NA NA NA NA
NA 0.2882 0.0108 0.2702 0.0120 NA NA NA NA NA NA NA NA
NA 0.1922 -0.0522 -0.0567 0.0149 NA NA NA NA NA NA NA NA
NA 0.1180 -0.0676 0.0331 0.0166 NA NA NA NA NA NA NA NA
NA -0.0105 -0.0115 -0.0775 0.0182 NA NA NA NA NA NA NA NA
NA 0.4935 -0.0214 0.2605 0.0086 NA NA NA NA NA NA NA NA
NA 0.2375 -0.0588 0.0482 0.0157 NA NA NA NA NA NA NA NA
NA 0.0590 -0.0095 -0.0199 0.0246 NA NA NA NA NA NA NA NA
NA -0.1316 -0.0277 -0.0611 0.0314 NA NA NA NA NA NA NA NA
NA 0.4345 0.1450 0.1348 0.0154 NA NA NA NA NA NA NA NA
NA 0.0976 0.0544 0.0170 0.0295 NA NA NA NA NA NA NA NA
NA -0.0146 -0.0278 -0.0462 0.0266 NA NA NA NA NA NA NA NA
NA 0.2481 0.0128 0.0542 0.0213 NA NA NA NA NA NA NA NA
NA -0.1290 -0.0829 0.0892 0.0273 NA NA NA NA NA NA NA NA
NA 0.1784 -0.0618 0.1569 0.0312 NA NA NA NA NA NA NA NA
NA 0.1254 -0.0082 0.0972 0.0354 NA NA NA NA NA NA NA NA
NA 0.1052 0.2208 0.0711 0.0393 NA NA NA NA NA NA NA NA
NA -0.1351 0.0283 -0.0086 0.0476 NA NA NA NA NA NA NA NA
NA 0.2449 0.5049 -0.0814 0.0421 NA NA NA NA NA NA NA NA
NA 0.0879 0.2418 0.1856 0.0521 NA NA NA NA NA NA NA NA
NA -0.1754 -0.1399 -0.1005 0.0658 NA NA NA NA NA NA NA NA
NA -0.0649 -0.1187 0.2152 0.0652 NA NA NA NA NA NA NA NA
NA 0.1178 0.0598 -0.1130 0.0439 NA NA NA NA NA NA NA NA
NA 0.1305 -0.1216 0.0180 0.0384 NA NA NA NA NA NA NA NA
NA -0.2618 -0.2351 0.1747 0.0693 NA NA NA NA NA NA NA NA
NA -0.3575 -0.0081 0.0996 0.0800 NA NA NA NA NA NA NA NA
NA 0.3244 0.1541 0.0914 0.0580 NA NA NA NA NA NA NA NA
NA 0.2191 0.1467 0.2438 0.0508 NA NA NA NA NA NA NA NA
NA -0.0826 0.2262 0.0746 0.0512 NA NA NA NA NA NA NA NA
NA 0.0103 0.1442 0.0067 0.0718 NA NA NA NA NA NA NA NA
NA 0.1309 0.2127 -0.0233 0.1038 NA NA NA NA NA NA NA NA
NA 0.2213 0.0566 -0.2461 0.1124 NA NA NA NA NA NA NA NA
NA -0.1813 0.0711 0.2504 0.1471 NA NA NA NA NA NA NA NA
NA 0.1066 0.0868 0.1329 0.1054 NA NA NA NA NA NA NA NA
NA 0.1375 0.1400 0.2052 0.0880 NA NA NA NA NA NA NA NA
NA -0.0605 -0.0822 0.1913 0.0985 NA NA NA NA NA NA NA NA
NA 0.2491 0.0055 0.0129 0.0772 NA NA NA NA NA NA NA NA
NA 0.1012 -0.0955 0.0934 0.0616 NA NA NA NA NA NA NA NA
NA -0.0387 -0.1095 -0.0170 0.0547 NA NA NA NA NA NA NA NA
NA 0.1155 0.0578 0.1499 0.0635 NA NA NA NA NA NA NA NA
NA 0.2049 -0.1286 -0.0403 0.0837 NA NA NA NA NA NA NA NA
NA -0.1395 -0.1399 -0.1003 0.0781 NA NA NA NA NA NA NA NA
NA 0.2918 0.1608 -0.1472 0.0560 NA NA NA NA NA NA NA NA
NA 0.0623 0.0774 0.2449 0.0351 NA NA NA NA NA NA NA NA
NA 0.0821 0.0637 0.1696 0.0290 NA NA NA NA NA NA NA NA
NA -0.0410 -0.0046 -0.0089 0.0390 NA NA NA NA NA NA NA NA
NA 0.3122 -0.0975 0.0597 0.0560 NA NA NA NA NA NA NA NA
NA 0.1596 -0.0445 0.0867 0.0521 NA NA NA NA NA NA NA NA
NA 0.2596 -0.0775 0.1901 0.0526 NA NA NA NA NA NA NA NA
NA 0.1946 -0.2526 -0.1047 0.0486 NA NA NA NA NA NA NA NA
NA 0.2057 0.1534 -0.3165 0.0468 NA NA NA NA NA NA NA NA
NA -0.1760 -0.0460 0.4499 0.0589 NA NA NA NA NA NA NA NA
NA -0.1521 0.1813 0.1854 0.0383 NA NA NA NA NA NA NA NA
NA -0.2276 0.0440 0.0816 0.0165 NA NA NA NA NA NA NA NA
NA 0.3075 0.2678 0.0497 0.0102 NA NA NA NA NA NA NA NA
NA 0.1072 0.0445 0.0763 0.0120 NA NA NA NA NA NA NA NA
NA 0.0309 -0.0236 0.0941 0.0298 NA NA NA NA NA NA NA NA
NA 0.1060 0.0009 0.1192 0.0480 NA NA NA NA NA NA NA NA
NA 0.0104 -0.0736 -0.1728 0.0466 NA NA NA NA NA NA NA NA
NA -0.3834 0.0244 0.0100 0.0160 NA NA NA NA NA NA NA NA
NA 0.2826 0.0918 -0.0965 0.0010 NA NA NA NA NA NA NA NA
NA 0.1737 0.1419 -0.0522 0.0012 NA NA NA NA NA NA NA NA
NA 0.0044 -0.0571 -0.0842 0.0004 NA NA NA NA NA NA NA NA
NA 0.1627 -0.0140 0.1000 0.0006 NA NA NA NA NA NA NA NA
NA 0.3520 0.0775 0.0260 0.0002 NA NA NA NA NA NA NA NA
NA 0.1171 -0.0786 -0.0145 0.0002 NA NA NA NA NA NA NA NA
NA 0.0009 -0.0399 -0.0965 0.0002 NA NA NA NA NA NA NA NA
NA 0.1330 0.0666 0.2275 0.0020 NA NA NA NA NA NA NA NA
NA 0.2151 -0.0497 -0.1351 0.0080 NA NA NA NA NA NA NA NA
NA -0.0695 -0.0321 -0.0973 0.0183 NA NA NA NA NA NA NA NA
NA 0.2828 -0.0611 -0.1034 0.0215 NA NA NA NA NA NA NA NA
NA 0.2366 0.1318 -0.4656 0.0045 NA NA NA NA NA NA NA NA
NA 0.2356 -0.0389 0.2553 0.0004 NA NA NA NA NA NA NA NA
NA -0.2160 -0.0682 0.2581 0.0143 NA NA NA NA NA NA NA NA
NA NA NA NA NA NA NA NA NA NA NA NA NA

#Question 6: Based on CAPM model, compute covariance matrix for the 8-asset portfolio by using past 60-month returns from 2010/02 - 2015/01. #Construct data

#Construct portfolio_1 including 8 assets in the time range 
monthly_return <- monthly_return %>% mutate(Date= monthly_price_161$Index)
monthly_return
## # A tibble: 161 × 9
##        SPY      QQQ      EEM     IWM      EFA      TLT     IYR      GLD
##      <dbl>    <dbl>    <dbl>   <dbl>    <dbl>    <dbl>   <dbl>    <dbl>
##  1  0.0312  0.0460   0.0178   0.0448  0.00267 -0.00342  0.0546  0.0327 
##  2  0.0609  0.0771   0.0811   0.0823  0.0639  -0.0206   0.0975 -0.00439
##  3  0.0155  0.0224  -0.00166  0.0568 -0.0280   0.0332   0.0639  0.0588 
##  4 -0.0795 -0.0739  -0.0939  -0.0754 -0.112    0.0511  -0.0568  0.0305 
##  5 -0.0517 -0.0598  -0.0140  -0.0774 -0.0206   0.0580  -0.0467  0.0236 
##  6  0.0683  0.0726   0.109    0.0673  0.116   -0.00946  0.0940 -0.0509 
##  7 -0.0450 -0.0513  -0.0324  -0.0744 -0.0380   0.0839  -0.0130  0.0571 
##  8  0.0896  0.132    0.118    0.124   0.0997  -0.0252   0.0463  0.0478 
##  9  0.0382  0.0634   0.0302   0.0415  0.0381  -0.0447   0.0393  0.0368 
## 10  0      -0.00172 -0.0291   0.0349 -0.0482  -0.0169  -0.0158  0.0211 
## # ℹ 151 more rows
## # ℹ 1 more variable: Date <date>
portfolio_1 <- monthly_return %>% filter(Date>= "2010-02-26")
portfolio_1 <- portfolio_1 %>% filter(Date <="2015-01-30")
portfolio_1 <- portfolio_1[1:8]
portfolio_1 #60x8
## # A tibble: 60 × 8
##        SPY      QQQ      EEM     IWM     EFA      TLT     IYR      GLD
##      <dbl>    <dbl>    <dbl>   <dbl>   <dbl>    <dbl>   <dbl>    <dbl>
##  1  0.0609  0.0771   0.0811   0.0823  0.0639 -0.0206   0.0975 -0.00439
##  2  0.0155  0.0224  -0.00166  0.0568 -0.0280  0.0332   0.0639  0.0588 
##  3 -0.0795 -0.0739  -0.0939  -0.0754 -0.112   0.0511  -0.0568  0.0305 
##  4 -0.0517 -0.0598  -0.0140  -0.0774 -0.0206  0.0580  -0.0467  0.0236 
##  5  0.0683  0.0726   0.109    0.0673  0.116  -0.00946  0.0940 -0.0509 
##  6 -0.0450 -0.0513  -0.0324  -0.0744 -0.0380  0.0839  -0.0130  0.0571 
##  7  0.0896  0.132    0.118    0.124   0.0997 -0.0252   0.0463  0.0478 
##  8  0.0382  0.0634   0.0302   0.0415  0.0381 -0.0447   0.0393  0.0368 
##  9  0      -0.00172 -0.0291   0.0349 -0.0482 -0.0169  -0.0158  0.0211 
## 10  0.0669  0.0476   0.0728   0.0803  0.0831 -0.0370   0.0457  0.0244 
## # ℹ 50 more rows
#Construct market data 
market <- read_csv("F-F_Research_Data_Factors.CSV")
## New names:
## • `` -> `...1`
## Warning: One or more parsing issues, call `problems()` on your data frame for details,
## e.g.:
##   dat <- vroom(...)
##   problems(dat)
## Rows: 1261 Columns: 5
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (1): ...1
## dbl (4): Mkt-RF, SMB, HML, RF
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
market$...1 <- format(as.Date(paste(market$...1,"01",sep=""),"%Y%m%d"))
market$...1 <- as.Date(market$...1)
market <- market %>% filter(...1>="2010-02-01") %>% filter(...1<="2015-01-01")
market <- market %>% select(`Mkt-RF`)
colnames(market)<- "Market"
market <- market %>% mutate(Market = Market/100)
market #60x1
## # A tibble: 60 × 1
##     Market
##      <dbl>
##  1  0.034 
##  2  0.0631
##  3  0.02  
##  4 -0.0789
##  5 -0.0557
##  6  0.0693
##  7 -0.0477
##  8  0.0954
##  9  0.0388
## 10  0.006 
## # ℹ 50 more rows

#Compute covariance matrix We have the single index model: Ri = a + B*X + ei where Ri is the stock return a is the expected excess return B is the sensitivity of the stock to the market X is the market excess return (Rm-rf) ei is the firm specific surprise Our goal is to find covariance matrix of return. To achieve the goal, we will define the beta (B) and the covarience of ei

#According to the formula in the class, we define Y= BX while Y is the portfolio_return matrix (60x8 - 8 assets in 60 months), B is the matrix that consists of a in the first column and B in the second column:
one_60 <- rep(1,60)
X <- as.matrix(cbind(one_60, market)) # 60x2
Y <- as.matrix(portfolio_1) # 60x8

#We calculate the b_hat:
b_hat = solve(t(X)%*%X)%*%t(X) %*% Y #2x8 : first row- alpha, second row - beta

#The e_hat is equal the difference between actual return and return derived from the formula:
E_hat = Y - X %*% b_hat #60x8

# Excluding constant term and keep only beta in b_hat
b_hat = as.matrix(b_hat[-1,])

#Calculate the covariance of ei and put them in diagonal matrix
diagD_hat = diag(t(E_hat) %*% E_hat)/(60-2) 
diag(diagD_hat) 
##             [,1]        [,2]       [,3]        [,4]        [,5]        [,6]
## [1,] 0.001420035 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000
## [2,] 0.000000000 0.001827604 0.00000000 0.000000000 0.000000000 0.000000000
## [3,] 0.000000000 0.000000000 0.00328429 0.000000000 0.000000000 0.000000000
## [4,] 0.000000000 0.000000000 0.00000000 0.002702398 0.000000000 0.000000000
## [5,] 0.000000000 0.000000000 0.00000000 0.000000000 0.002370256 0.000000000
## [6,] 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.001700714
## [7,] 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000
## [8,] 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000
##            [,7]       [,8]
## [1,] 0.00000000 0.00000000
## [2,] 0.00000000 0.00000000
## [3,] 0.00000000 0.00000000
## [4,] 0.00000000 0.00000000
## [5,] 0.00000000 0.00000000
## [6,] 0.00000000 0.00000000
## [7,] 0.00202267 0.00000000
## [8,] 0.00000000 0.00299309
# Covariance matrix by single factor model 
cov_sfm_1 <- as.numeric(var(portfolio_1))*b_hat%*%t(b_hat) + diag(diagD_hat)  #8x8
cov_sfm_1
##               SPY           QQQ           EEM           IWM           EFA
## SPY  1.444662e-03  3.789226e-05  7.125576e-05  4.790061e-05  6.473640e-05
## QQQ  3.789226e-05  1.896030e-03  1.089750e-04  7.272760e-05  9.980501e-05
## EEM  7.125576e-05  1.089750e-04  3.606989e-03  1.457935e-04  2.323391e-04
## IWM  4.790061e-05  7.272760e-05  1.457935e-04  2.812213e-03  1.214346e-04
## EFA  6.473640e-05  9.980501e-05  2.323391e-04  1.214346e-04  2.591646e-03
## TLT -1.988954e-05 -2.931215e-05 -5.587318e-05 -4.048925e-05 -5.182340e-05
## IYR  2.317136e-05  3.435846e-05  8.254140e-05  4.764517e-05  6.902636e-05
## GLD  1.391223e-06  4.556259e-06  1.883981e-05  6.983671e-06  7.984225e-06
##               TLT           IYR          GLD
## SPY -1.988954e-05  2.317136e-05 1.391223e-06
## QQQ -2.931215e-05  3.435846e-05 4.556259e-06
## EEM -5.587318e-05  8.254140e-05 1.883981e-05
## IWM -4.048925e-05  4.764517e-05 6.983671e-06
## EFA -5.182340e-05  6.902636e-05 7.984225e-06
## TLT  1.736525e-03 -7.231574e-06 2.964244e-06
## IYR -7.231574e-06  2.069496e-03 6.012433e-06
## GLD  2.964244e-06  6.012433e-06 3.008991e-03

#Question 7: Based on FF 3-factor model, compute covariance matrix for the 8-asset portfolio by using past 60-month returns from 2010/02 - 2015/01. Construct data

#Construct FF 3-factor data 
FF <-read_csv("F-F_Research_Data_Factors.CSV")
## New names:
## • `` -> `...1`
## Warning: One or more parsing issues, call `problems()` on your data frame for details,
## e.g.:
##   dat <- vroom(...)
##   problems(dat)
## Rows: 1261 Columns: 5
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (1): ...1
## dbl (4): Mkt-RF, SMB, HML, RF
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
FF$...1 <- format(as.Date(paste(FF$...1,"01",sep=""),"%Y%m%d"))
FF$...1 <- as.Date(FF$...1)
FF <- FF %>% filter(...1>="2010-02-01") %>% filter(...1<="2015-01-01")
FF <- FF %>% select(`Mkt-RF`,`SMB`,`HML`)
colnames(FF)<- c("Market","SMB","HML")
FF <- FF %>% mutate(Market = Market/100) %>% mutate(SMB= SMB/100) %>% mutate(HML= HML/100)
FF #60x3
## # A tibble: 60 × 3
##     Market     SMB     HML
##      <dbl>   <dbl>   <dbl>
##  1  0.034   0.0119  0.0323
##  2  0.0631  0.0148  0.0221
##  3  0.02    0.0487  0.0289
##  4 -0.0789  0.0009 -0.0244
##  5 -0.0557 -0.0182 -0.047 
##  6  0.0693  0.0022 -0.0033
##  7 -0.0477 -0.0298 -0.0193
##  8  0.0954  0.0397 -0.0318
##  9  0.0388  0.0119 -0.0251
## 10  0.006   0.0374 -0.0092
## # ℹ 50 more rows

#Compute covariance matrix

#According to the formula in the class, we define Y= BX while Y is the portfolio_return matrix (60x8 - 8 assets in 60 months), B is the matrix that consists of a in the first column and B in the second column:
one_60 <- rep(1,60)
X_3 <- as.matrix(cbind(one_60, FF)) # 60x4
Y_3 <- as.matrix(portfolio_1) # 60x8

#We calculate the b_hat:
b_hat_3 = solve(t(X_3)%*%X_3)%*%t(X_3) %*% Y_3 #4x8 : first row- alpha, other rows - beta

#The e_hat is equal the difference between actual return and return derived from the formula:
E_hat_3 = Y_3 - X_3 %*% b_hat_3 #60x8

# Excluding constant term and keep only beta in b_hat
b_hat_3 = as.matrix(b_hat_3[-1,])

#Calculate the covariance of ei and put them in diagonal matrix
diagD_hat_3 = diag(t(E_hat_3) %*% E_hat_3)/(60-4) 
diag(diagD_hat_3) 
##             [,1]        [,2]        [,3]        [,4]        [,5]        [,6]
## [1,] 0.001445373 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## [2,] 0.000000000 0.001840183 0.000000000 0.000000000 0.000000000 0.000000000
## [3,] 0.000000000 0.000000000 0.003377802 0.000000000 0.000000000 0.000000000
## [4,] 0.000000000 0.000000000 0.000000000 0.002732418 0.000000000 0.000000000
## [5,] 0.000000000 0.000000000 0.000000000 0.000000000 0.002432891 0.000000000
## [6,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.001759101
## [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,] 0.00000000 0.000000000
## [2,] 0.00000000 0.000000000
## [3,] 0.00000000 0.000000000
## [4,] 0.00000000 0.000000000
## [5,] 0.00000000 0.000000000
## [6,] 0.00000000 0.000000000
## [7,] 0.00208667 0.000000000
## [8,] 0.00000000 0.003029353
# Covariance matrix by single factor model 
cov_sfm_3 <- t(b_hat_3)%*%as.matrix(var(FF))%*%b_hat_3 + diag(diagD_hat_3)  #8x8
cov_sfm_3
##               SPY           QQQ          EEM           IWM          EFA
## SPY  1.495855e-03  7.323566e-05 5.956914e-05  7.864549e-05 5.620472e-05
## QQQ  7.323566e-05  1.946493e-03 8.820251e-05  1.137193e-04 8.326355e-05
## EEM  5.956914e-05  8.820251e-05 3.546164e-03  8.394184e-05 1.628979e-04
## IWM  7.864549e-05  1.137193e-04 8.394184e-05  2.857120e-03 7.903660e-05
## EFA  5.620472e-05  8.326355e-05 1.628979e-04  7.903660e-05 2.590602e-03
## TLT  2.665018e-05  3.862470e-05 6.193228e-05  4.261187e-05 6.025263e-05
## IYR  2.692572e-05  3.873508e-05 5.932806e-05  4.484025e-05 5.789832e-05
## GLD -2.377046e-05 -3.335765e-05 4.964206e-05 -4.218662e-05 5.031449e-05
##              TLT          IYR           GLD
## SPY 2.665018e-05 2.692572e-05 -2.377046e-05
## QQQ 3.862470e-05 3.873508e-05 -3.335765e-05
## EEM 6.193228e-05 5.932806e-05  4.964206e-05
## IWM 4.261187e-05 4.484025e-05 -4.218662e-05
## EFA 6.025263e-05 5.789832e-05  5.031449e-05
## TLT 1.793374e-03 3.778607e-05  1.679827e-05
## IYR 3.778607e-05 2.129764e-03  1.642018e-05
## GLD 1.679827e-05 1.642018e-05  3.104610e-03

#Question 9: Using SIT package to backtest the performance of GMV (global minimum variance) portfolios based on CAPM model and Fama-French three-factor model.

install.packages("ggplot2")
## Installing package into '/cloud/lib/x86_64-pc-linux-gnu-library/4.3'
## (as 'lib' is unspecified)
library(ggplot2)
library(matlib)
## Warning in rgl.init(initValue, onlyNULL): RGL: unable to open X11 display
## Warning: 'rgl.init' failed, running with 'rgl.useNULL = TRUE'.
library(tibble)
library(tidyverse)
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## ✔ stringr 1.5.0     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
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## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
GMVP_market <- function(n){
one_6 <- rep(1,6)
X_backtest_1 <- as.matrix(cbind(one_6, market[n:(n+5),])) # 6x2
Y_backtest_1 <- as.matrix(portfolio_1[n:(n+5),]) # 6x8

#We calculate the b_hat:
b_hat_backtest_1 = solve(t(X_backtest_1)%*%X_backtest_1)%*%t(X_backtest_1) %*% Y_backtest_1 #2x8 : first row- alpha, second row - beta

#The e_hat is equal the difference between actual return and return derived from the formula:
E_hat_backtest_1 = Y_backtest_1 - X_backtest_1 %*% b_hat_backtest_1 #6x8

# Excluding constant term and keep only beta in b_hat
b_hat_backtest_1 = as.matrix(b_hat_backtest_1[-1,])

#Calculate the covariance of ei and put them in diagonal matrix
diagD_hat_backtest_1 = diag(t(E_hat_backtest_1) %*% E_hat_backtest_1)/(6-2) 
diag(diagD_hat_backtest_1) 

# Covariance matrix by single factor model 
cov_sfm_backtest_1 <- as.numeric(var(Y_backtest_1))*b_hat_backtest_1%*%t(b_hat_backtest_1) + diag(diagD_hat_backtest_1)  #8x8

#Create the 8x1 matrix with value = 1
one_8 <- rep(1,8)
one_8_1 <- matrix(one_8,ncol=1)

#According to the formula to calculate GMVP, we denote a_sfm_1 as the numerator and b_sfm_1 as the denominator
a_sfm_backtest_1 <- inv(cov_sfm_backtest_1)%*%one_8_1 # 8x8 x 8x1 = 8x1
b_sfm_backtest_1 <- t(one_8_1)%*%inv(cov_sfm_backtest_1)%*%one_8_1 # 1x8 x 8x8 x 8x1 = 1x1

#Calculate the GMVP
mvp_sfm_backtest_1 <- a_sfm_backtest_1/as.vector(b_sfm_backtest_1)
mvp_sfm_backtest_1 #8x1
return_backtest_1 <-  colMeans(monthly_return[(n+1):(n+6),][1:8]) %*%mvp_sfm_backtest_1 
}

GMVPreturn <- rep(1,55)
growth <- rep(1,55)
for(n in 1:55){
GMVPreturn[n] <- GMVP_market(n)
growth[n+1] <- growth[n]*(1+GMVPreturn[n])
}

return <- as_tibble(GMVPreturn)
return <- return %>% mutate(Date= monthly_return$Date[2:56]) %>% mutate(growth= growth[1:55])


ggplot(return) + geom_line(aes(x=Date,y=growth)) +
  ylab("Amount ($)") + xlab("Date") + 
  ggtitle("Backtesting of 1-factor model: Cumulative Return")+
  theme_minimal() +
  theme(axis.text.x=element_text(size=10),axis.text.y=element_text(size=10),
        axis.title.x=element_text(size=10),axis.title.y=element_text(size=10),
        title = element_text(size=10, face='bold'),
        legend.text = element_text(size=10))

ggplot(return) + geom_line(aes(x=Date,y=value)) +
  ylab("Profit (in digit)") + xlab("Date") + 
  ggtitle("Backtesting of 1-factor model: Return")+
  theme_minimal() +
  theme(axis.text.x=element_text(size=10),axis.text.y=element_text(size=10),
        axis.title.x=element_text(size=10),axis.title.y=element_text(size=10),
        title = element_text(size=10, face='bold'),
        legend.text = element_text(size=10))

GMVP_FF <- function(n){
one_6 <- rep(1,6)
X_backtest_3<- as.matrix(cbind(one_6, FF[n:(n+5),])) # 60x4
Y_backtest_3 <- as.matrix(portfolio_1[n:(n+5),]) # 60x8

#We calculate the b_hat:
b_hat_backtest_3 = solve(t(X_backtest_3)%*%X_backtest_3)%*%t(X_backtest_3) %*% Y_backtest_3 #4x8 : first row- alpha, other rows - beta

#The e_hat is equal the difference between actual return and return derived from the formula:
E_hat_backtest_3 = Y_backtest_3 - X_backtest_3 %*% b_hat_backtest_3 #60x8

# Excluding constant term and keep only beta in b_hat
b_hat_backtest_3= as.matrix(b_hat_backtest_3[-1,])

#Calculate the covariance of ei and put them in diagonal matrix
diagD_hat_backtest_3 = diag(t(E_hat_backtest_3) %*% E_hat_backtest_3)/(60-4) 
diag(diagD_hat_backtest_3) 

# Covariance matrix by single factor model 
cov_sfm_backtest_3 <- t(b_hat_backtest_3)%*%as.matrix(var(FF[n:(n+5),]))%*%b_hat_backtest_3 + diag(diagD_hat_backtest_3)  #8x8

#Create the 8x1 matrix with value = 1
one_8 <- rep(1,8)
one_8_1 <- matrix(one_8,ncol=1)

#According to the formula to calculate GMVP, we denote a_sfm_3 as the numerator and b_sfm_3 as the denominator
a_sfm_backtest_3 <- inv(cov_sfm_backtest_3)%*%one_8_1 # 8x8 x 8x1 = 8x1
b_sfm_backtest_3 <- t(one_8_1)%*%inv(cov_sfm_backtest_3)%*%one_8_1 # 1x8 x 8x8 x 8x1 = 1x1

#Calculate the GMVP
mvp_sfm_backtest_3 <- a_sfm_backtest_3 /as.vector(b_sfm_backtest_3 )

return_backtest_3 <- colMeans(monthly_return[(n+1):(n+6),][1:8]) %*% mvp_sfm_backtest_3
}

GMVPreturn_3 <- rep(1,55)
growth_3 <- rep(1,55)
for(n in 1:55){
GMVPreturn_3[n] <- GMVP_FF(n)
growth_3[n+1] <- growth_3[n]*(1+GMVPreturn_3[n])
}

return_3 <- as_tibble(GMVPreturn_3)
return_3 <- return_3 %>% mutate(Date= monthly_return$Date[2:56]) %>% mutate(growth= growth_3[1:55])


ggplot(return_3) + geom_line(aes(x=Date,y=growth)) +
  ylab("Amount ($)") + xlab("Date") + 
  ggtitle("Backtesting of 3-factors model: Cumulative Return")+
  theme_minimal() +
  theme(axis.text.x=element_text(size=10),axis.text.y=element_text(size=10),
        axis.title.x=element_text(size=10),axis.title.y=element_text(size=10),
        title = element_text(size=10, face='bold'),
        legend.text = element_text(size=10))

ggplot(return_3) +  geom_line(aes(x=Date,y=value)) +
  ylab("Profit (in digit)") + xlab("Date") + 
  ggtitle("Backtesting of 3-factors model: Return")+
  theme_minimal() +
  theme(axis.text.x=element_text(size=10),axis.text.y=element_text(size=10),
        axis.title.x=element_text(size=10),axis.title.y=element_text(size=10),
        title = element_text(size=10, face='bold'),
        legend.text = element_text(size=10))