Final_investment_portfolio

Question 1: Import Data

Download ETF daily data from yahoo with ticker names of SPY, QQQ, EEM, IWM, EFA, TLT, IYR and GLD from 2010 to current date:

#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 88.11790 41.00547 32.42902 53.08978 37.99448 63.06108 28.77183
## 2010-01-05 88.35117 41.00547 32.66441 52.90724 38.02797 63.46838 28.84092
## 2010-01-06 88.41338 40.75814 32.73273 52.85746 38.18871 62.61876 28.82835
## 2010-01-07 88.78658 40.78461 32.54292 53.24745 38.04136 62.72412 29.08587
## 2010-01-08 89.08201 41.12030 32.80106 53.53787 38.34274 62.69606 28.89116
## 2010-01-11 89.20645 40.95248 32.73273 53.32212 38.65753 62.35197 29.02933
##               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 -0.008117140 -0.015037423 -0.02893447 -0.01301929 -0.003493173
## 2010-01-22 -0.038982487 -0.036859309 -0.05578106 -0.03062191 -0.055740656
## 2010-01-29 -0.016665276 -0.031023674 -0.03357725 -0.02624321 -0.025802774
## 2010-02-05 -0.006797616  0.004440621 -0.02821328 -0.01397431 -0.019054993
## 2010-02-12  0.012938419  0.018147547  0.03333323  0.02952570  0.005244799
## 2010-02-19  0.028693165  0.024451791  0.02445373  0.03343216  0.022995166
##                      TLT          IYR          GLD
## 2010-01-15  2.004619e-02 -0.006304429 -0.004579349
## 2010-01-22  1.010125e-02 -0.041785055 -0.033285246
## 2010-01-29  3.369629e-03 -0.008447080 -0.011290465
## 2010-02-05 -5.426316e-05  0.003222847 -0.012080019
## 2010-02-12 -1.946099e-02 -0.007573789  0.022544905
## 2010-02-19 -8.204710e-03  0.050185097  0.022701796

#Monthly return
head(asset_returns_mon_xts)

##                    SPY         QQQ          EEM         IWM          EFA
## 2010-02-26  0.03119460  0.04603901  0.017763725  0.04475115  0.002667504
## 2010-03-31  0.06087969  0.07710929  0.081108834  0.08230708  0.063854315
## 2010-04-30  0.01547001  0.02242495 -0.001661868  0.05678457 -0.028045908
## 2010-05-28 -0.07945439 -0.07392361 -0.093935492 -0.07536631 -0.111927878
## 2010-06-30 -0.05174080 -0.05975702 -0.013987022 -0.07743409 -0.020619401
## 2010-07-30  0.06830031  0.07258280  0.109324622  0.06730927  0.116104084
##                     TLT         IYR          GLD
## 2010-02-26 -0.003424229  0.05457023  0.032748219
## 2010-03-31 -0.020573152  0.09748504 -0.004386396
## 2010-04-30  0.033217864  0.06388066  0.058834363
## 2010-05-28  0.051083386 -0.05683556  0.030513147
## 2010-06-30  0.057978424 -0.04670096  0.023553189
## 2010-07-30 -0.009463127  0.09404813 -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 = "black", background = "#F9EBEA") %>%
  kable_styling(bootstrap_options = "striped", full_width = F, position = "center")

Weekly return of portfilio

SPY	QQQ	EEM	IWM	EFA	TLT	IYR	GLD
-0.0081171	-0.0150374	-0.0289345	-0.0130193	-0.0034932	0.0200462	-0.0063044	-0.0045793
-0.0389825	-0.0368593	-0.0557811	-0.0306219	-0.0557407	0.0101012	-0.0417851	-0.0332852
-0.0166653	-0.0310237	-0.0335772	-0.0262432	-0.0258028	0.0033696	-0.0084471	-0.0112905
-0.0067976	0.0044406	-0.0282133	-0.0139743	-0.0190550	-0.0000543	0.0032228	-0.0120800
0.0129384	0.0181475	0.0333332	0.0295257	0.0052448	-0.0194610	-0.0075738	0.0225449
0.0286932	0.0244518	0.0244537	0.0334322	0.0229952	-0.0082047	0.0501851	0.0227018
-0.0035994	-0.0015614	-0.0106652	-0.0041236	-0.0060447	0.0248185	0.0085885	-0.0003654
0.0316960	0.0375332	0.0510781	0.0608284	0.0448499	-0.0121468	0.0358081	0.0126108
0.0105909	0.0198105	0.0102564	0.0165113	0.0123683	0.0023263	0.0339375	-0.0258100
0.0085533	0.0038156	-0.0043512	-0.0045776	-0.0052103	0.0086202	0.0226299	0.0030570
0.0052598	0.0107391	-0.0021849	0.0084393	0.0025284	-0.0253123	0.0087326	0.0028629
0.0104650	0.0033335	0.0515817	0.0091432	0.0263016	0.0037232	-0.0019962	0.0153790
0.0148560	0.0180644	0.0129565	0.0265962	0.0031596	0.0003371	0.0355932	0.0306548
-0.0015896	0.0101977	-0.0301503	0.0172244	-0.0075240	0.0098902	-0.0289630	-0.0211193
0.0205261	0.0199882	0.0141309	0.0373638	-0.0045840	0.0027823	0.0674089	0.0175297
-0.0246286	-0.0253366	-0.0234558	-0.0334549	-0.0363089	0.0224169	-0.0134129	0.0191713
-0.0635467	-0.0777826	-0.0917953	-0.0877880	-0.0955707	0.0410625	-0.0632552	0.0252253
0.0236384	0.0334733	0.0340403	0.0642595	0.0158504	-0.0073235	0.0370894	0.0177560
-0.0419704	-0.0445343	-0.0544441	-0.0645485	-0.0274054	0.0374164	-0.0520897	-0.0427848
0.0023831	0.0169489	0.0203537	0.0181344	-0.0061701	-0.0196085	0.0241951	0.0317653
-0.0233152	-0.0111843	-0.0236224	-0.0406036	-0.0298013	0.0168033	-0.0546540	0.0026077
0.0267738	0.0090929	0.0419356	0.0217117	0.0433019	-0.0038856	0.0709440	0.0068798
0.0235374	0.0349247	0.0299277	0.0286417	0.0347577	0.0028736	0.0249162	0.0234980
-0.0345476	-0.0349144	-0.0057342	-0.0324849	-0.0178896	0.0139215	-0.0302936	-0.0005699
-0.0525635	-0.0618511	-0.0426073	-0.0713779	-0.0360289	0.0206765	-0.0724464	-0.0347834
0.0563606	0.0506239	0.0588081	0.0521561	0.0630712	-0.0155764	0.0519258	-0.0010971
-0.0120416	-0.0062752	-0.0330250	-0.0297107	-0.0095887	0.0159239	-0.0137806	-0.0142785
0.0351584	0.0387911	0.0646835	0.0640248	0.0405407	-0.0101186	0.0575601	-0.0049713
-0.0012681	-0.0054276	0.0060747	0.0006155	0.0062026	0.0070159	0.0185369	-0.0051684
0.0192260	0.0207375	0.0164254	0.0018455	0.0354460	-0.0005597	0.0121968	0.0203481
-0.0363027	-0.0436268	-0.0332699	-0.0624805	-0.0565582	0.0218779	-0.0353855	0.0076375
-0.0072013	0.0044723	0.0083582	0.0013097	-0.0078881	0.0366606	-0.0031728	0.0103588
-0.0062308	-0.0189226	-0.0129206	0.0081768	0.0041743	-0.0065073	0.0141236	0.0086688
0.0377127	0.0440210	0.0380338	0.0434712	0.0389945	-0.0138765	0.0582585	0.0070242
0.0053207	0.0128230	0.0054721	-0.0094825	0.0060964	-0.0121644	-0.0168676	-0.0010668
0.0144618	0.0322397	0.0179842	0.0233834	0.0155271	-0.0063522	0.0180991	0.0230839
0.0207131	0.0347992	0.0255695	0.0298773	0.0326309	0.0179997	0.0001104	0.0172635
-0.0018288	-0.0130890	0.0296916	0.0129875	0.0016253	0.0144934	-0.0074711	0.0175231
0.0168398	0.0150992	0.0176093	0.0209255	0.0252387	-0.0037282	0.0222053	0.0213327
0.0099534	0.0349745	0.0105996	0.0145783	0.0116054	-0.0379004	0.0134390	0.0153425
0.0055224	0.0029134	-0.0147692	0.0004269	-0.0041716	0.0110697	0.0179837	-0.0295482
0.0011829	0.0104570	0.0019556	-0.0002849	-0.0048873	-0.0094686	-0.0192717	0.0222770
0.0356992	0.0285547	0.0513875	0.0493603	0.0384142	-0.0211893	0.0483988	0.0283518
-0.0205342	-0.0216133	-0.0428953	-0.0235869	-0.0297298	-0.0221471	-0.0461645	-0.0197243
0.0007485	-0.0007617	0.0021546	0.0058309	0.0057452	0.0081415	-0.0223801	-0.0111452
-0.0123866	0.0057173	-0.0367662	0.0106279	-0.0415442	0.0049691	0.0111675	0.0068835
0.0344274	0.0208455	0.0522319	0.0334611	0.0368433	-0.0190692	0.0182215	0.0372625
0.0129385	0.0115087	-0.0116674	0.0274875	0.0038320	-0.0183365	-0.0117500	-0.0192656
0.0038055	0.0025347	-0.0040781	0.0034724	-0.0010410	0.0009664	-0.0084140	-0.0089359
0.0104585	0.0040354	0.0123945	0.0135411	0.0120419	-0.0033257	0.0264583	0.0034278
0.0011943	-0.0051152	0.0226482	-0.0060977	0.0086622	0.0162749	0.0165301	0.0301500
0.0110535	0.0258908	-0.0081864	0.0035783	-0.0145996	-0.0188064	-0.0041099	-0.0370531
0.0169890	0.0202252	0.0143916	0.0257264	0.0362557	-0.0055221	0.0120221	-0.0066627
-0.0071922	-0.0231578	-0.0302527	-0.0415946	-0.0035322	-0.0034843	-0.0008863	-0.0125104
-0.0050638	0.0008981	-0.0247419	0.0028501	-0.0052330	0.0043700	0.0165039	-0.0057239
0.0268557	0.0296071	0.0258108	0.0317791	0.0315627	-0.0304330	0.0101255	0.0105926
0.0149450	0.0184731	-0.0187094	0.0275448	0.0006580	0.0073202	0.0259248	0.0050129
0.0106678	0.0049621	0.0149022	0.0155965	0.0179188	0.0003353	0.0045482	0.0233524
-0.0163532	-0.0183890	-0.0170591	-0.0140371	-0.0148580	0.0311764	-0.0048632	0.0145484
0.0010580	0.0055505	0.0303165	0.0031637	0.0037705	-0.0127565	-0.0089316	0.0143398
-0.0123049	-0.0255301	-0.0185501	-0.0274141	-0.0308669	0.0081492	0.0020407	-0.0081091
-0.0192981	-0.0347528	-0.0173799	-0.0089799	-0.0239302	0.0208631	-0.0108602	0.0010852
0.0277082	0.0438936	0.0466503	0.0368953	0.0252075	-0.0138026	0.0040412	0.0064320
0.0140898	0.0109078	0.0445715	0.0282164	0.0213876	0.0044251	0.0261977	-0.0004308
-0.0021777	-0.0088758	0.0119309	-0.0066240	0.0103873	-0.0250575	-0.0183070	0.0320403
-0.0061722	-0.0052675	-0.0181854	-0.0055969	-0.0053852	0.0310424	0.0203591	0.0096756
0.0131776	0.0298322	0.0213720	0.0112566	0.0183760	-0.0007567	0.0166000	0.0116512
0.0198092	0.0126841	-0.0035870	0.0229717	0.0223941	0.0139317	0.0253997	0.0383671
-0.0163457	-0.0103252	-0.0350002	-0.0361153	-0.0293099	0.0168995	-0.0191413	-0.0464002
-0.0011926	-0.0010260	-0.0275648	0.0028822	-0.0160716	0.0001057	-0.0027874	0.0022712
-0.0032074	-0.0109569	0.0031968	-0.0077832	-0.0021448	0.0025248	0.0036175	0.0127721
-0.0007488	-0.0058855	0.0144469	0.0095341	0.0052910	0.0120636	0.0113060	0.0149840
-0.0231442	-0.0188056	0.0025128	-0.0331142	0.0021384	0.0021983	-0.0132857	0.0034736
-0.0216226	-0.0303460	-0.0292457	-0.0356078	-0.0295423	0.0084080	-0.0397373	-0.0065237
0.0006264	-0.0133491	-0.0146330	0.0029484	-0.0079486	-0.0024718	0.0164157	0.0046904
-0.0018896	0.0109686	0.0036035	0.0218588	-0.0076791	0.0008268	-0.0024323	-0.0245432
0.0560684	0.0649140	0.0584617	0.0519136	0.0647987	-0.0312486	0.0445882	-0.0090934
0.0035843	0.0193399	-0.0047758	0.0154106	-0.0159540	0.0185830	0.0215054	0.0367074
-0.0201635	-0.0199896	-0.0264971	-0.0272524	-0.0275783	0.0083888	-0.0240831	0.0329451
0.0219450	0.0302505	0.0212176	0.0149741	0.0343761	-0.0012476	0.0274556	0.0059278
-0.0390099	-0.0268454	-0.0113327	-0.0512788	-0.0244268	0.0194685	-0.0388103	0.0138996
-0.0715227	-0.0718966	-0.0961577	-0.1054680	-0.0846532	0.0484139	-0.1128579	0.0218587
-0.0163226	-0.0048300	-0.0307660	-0.0215897	-0.0156309	0.0317636	0.0201459	0.0508192
-0.0463933	-0.0660819	-0.0385266	-0.0646225	-0.0516068	0.0533296	-0.0310844	0.0587162
0.0473188	0.0619628	0.0211694	0.0586704	0.0302968	-0.0243708	0.0313265	-0.0137816
-0.0010170	0.0028233	0.0256663	-0.0094048	0.0007742	0.0401838	0.0045749	0.0325126
-0.0163768	-0.0018768	-0.0372955	-0.0140231	-0.0576066	0.0106653	-0.0049184	-0.0138616
0.0537324	0.0660952	0.0129968	0.0595558	0.0441023	-0.0129268	0.0377082	-0.0258439
-0.0656680	-0.0431169	-0.1147299	-0.0856748	-0.0728879	0.0765319	-0.0854930	-0.0922002
-0.0034351	-0.0306557	-0.0217391	-0.0128953	0.0125027	-0.0002482	-0.0140378	-0.0108886
0.0226249	0.0301008	0.0381766	0.0186627	0.0251152	-0.0187062	-0.0199724	0.0070859
0.0592862	0.0760126	0.0864433	0.0861064	0.0641073	-0.0362822	0.0623488	0.0265109
0.0114220	-0.0151253	-0.0184391	-0.0001401	-0.0007672	-0.0071960	0.0324787	-0.0237453
0.0373477	0.0286214	0.0910965	0.0688877	0.0608678	-0.0147620	0.0669610	0.0633149
-0.0242612	-0.0193420	-0.0285380	-0.0188083	-0.0624436	0.0477416	-0.0234484	0.0072516
0.0094039	0.0008652	-0.0097108	-0.0029490	0.0000000	-0.0071253	-0.0051198	0.0182031
-0.0369494	-0.0423508	-0.0551606	-0.0322669	-0.0463319	0.0319067	-0.0315881	-0.0364452
-0.0462371	-0.0454873	-0.0633110	-0.0744653	-0.0597167	0.0122340	-0.0544257	-0.0251760
0.0732340	0.0707262	0.1016624	0.1032729	0.0934341	-0.0154589	0.0594962	0.0392902
0.0095305	0.0070646	-0.0100579	0.0141496	0.0049220	-0.0162680	0.0135355	-0.0201390
-0.0292650	-0.0350434	-0.0469901	-0.0305879	-0.0528997	0.0480684	0.0007221	-0.0671274
0.0394768	0.0222384	0.0356853	0.0367239	0.0365189	-0.0331095	0.0407204	0.0069574
-0.0070416	-0.0035872	-0.0142892	-0.0107311	0.0004039	0.0285009	-0.0052527	-0.0276373
0.0176096	0.0354648	0.0073801	0.0141016	-0.0076720	-0.0207838	0.0003522	0.0342785
0.0088481	0.0064000	0.0279961	0.0213932	0.0091557	0.0181088	0.0151325	0.0131043
0.0241383	0.0273290	0.0531939	0.0243491	0.0469755	-0.0322636	0.0228810	0.0176442
-0.0009846	0.0105405	0.0236828	0.0187855	0.0107839	0.0094029	0.0299952	0.0425742
0.0206336	0.0273178	0.0358832	0.0405173	0.0268624	-0.0104214	0.0204009	-0.0078712
-0.0013374	0.0067690	-0.0218780	-0.0202533	-0.0116882	0.0036030	-0.0204769	-0.0029826
0.0152574	0.0153674	0.0235320	0.0187031	0.0234652	-0.0035041	0.0062551	0.0012565
0.0038117	0.0083556	0.0059183	-0.0018118	0.0115553	0.0078914	-0.0062162	0.0291604
0.0027754	0.0142276	0.0101837	-0.0289209	-0.0068902	-0.0007068	-0.0051032	-0.0341985
0.0018935	0.0023121	-0.0190417	0.0168229	-0.0074859	-0.0100728	0.0011581	0.0002405
0.0243134	0.0248066	0.0068511	0.0171562	0.0211555	-0.0391478	0.0279296	-0.0305325
-0.0046327	0.0063140	-0.0269901	-0.0008017	-0.0131511	0.0159735	-0.0065914	0.0014259
0.0083069	0.0091129	0.0011653	0.0015728	0.0020084	-0.0089210	0.0170260	0.0036525
-0.0072444	0.0025165	-0.0048896	-0.0148534	-0.0340682	0.0089355	-0.0126803	-0.0235011
-0.0189568	-0.0225930	-0.0135701	-0.0250065	-0.0132028	0.0348071	-0.0084540	0.0160445
0.0059065	-0.0077051	0.0040323	0.0084237	0.0215979	0.0019682	0.0250863	-0.0081443
0.0176878	0.0237517	-0.0004724	0.0270538	0.0114126	0.0018793	0.0236722	0.0115332
-0.0241472	-0.0377756	-0.0224535	-0.0399365	-0.0331114	0.0096825	-0.0053124	-0.0118354
-0.0101462	-0.0080369	-0.0336072	-0.0024024	-0.0212358	0.0115121	0.0056549	-0.0370603
-0.0432859	-0.0525087	-0.0670504	-0.0533586	-0.0596169	0.0393303	-0.0656044	0.0064470
0.0181905	0.0207203	-0.0037544	0.0254385	-0.0002079	-0.0064409	0.0272481	-0.0120997
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0.0122911	0.0211615	0.0325556	0.0251397	0.0099962	0.0055928	0.0191233	0.0132925
0.0060946	0.0050011	0.0204119	0.0084257	0.0105159	0.0120007	0.0260503	-0.0068393
0.0040463	0.0168057	-0.0081782	0.0204402	0.0052355	0.0172269	0.0211609	-0.0080153
-0.0189308	0.0040733	-0.0191717	-0.0413034	-0.0306173	0.0240320	-0.0291047	-0.0615114
0.0281740	0.0211172	0.0234188	0.0456938	0.0185940	-0.0255266	0.0179468	0.0100649
0.0166663	0.0262691	-0.0129731	-0.0133029	-0.0080020	0.0226682	-0.0053279	0.0042019
0.0041501	0.0066083	-0.0224535	-0.0122605	0.0027728	0.0102731	0.0264901	0.0114772
-0.0095976	-0.0094457	0.0007470	-0.0504904	-0.0155858	0.0114653	0.0036053	0.0011819
0.0199378	0.0296422	-0.0201530	0.0214004	0.0114915	0.0019565	0.0044431	-0.0050174
-0.0032505	-0.0098590	-0.0173300	0.0068321	0.0034080	0.0068688	0.0044236	0.0074751
0.0090761	0.0095455	0.0065892	0.0105858	0.0103160	-0.0104325	0.0033732	-0.0305029
0.0077516	0.0020921	-0.0040432	-0.0101167	0.0138213	0.0052102	-0.0002801	0.0106293
-0.0057409	-0.0029554	-0.0431085	-0.0253697	-0.0241955	0.0134636	-0.0004670	0.0018631
0.0155405	0.0225982	0.0422222	0.0505289	0.0157331	-0.0072403	0.0015887	0.0209358
0.0062854	0.0147059	0.0296569	0.0068460	0.0169766	-0.0073034	0.0382570	0.0051119
-0.0168624	-0.0130514	-0.0118599	-0.0278120	-0.0110881	0.0014845	-0.0379257	-0.0226821
-0.0058950	-0.0073289	-0.0213374	0.0038807	-0.0081323	0.0051889	-0.0024288	-0.0203971
0.0056863	-0.0002303	-0.0114852	0.0055992	-0.0024843	-0.0151505	-0.0104254	-0.0028699
-0.0217836	-0.0352235	-0.0088618	-0.0034521	-0.0261520	-0.0093624	-0.0148021	0.0078995
0.0083364	0.0027210	0.0097357	-0.0031492	-0.0028132	-0.0238737	-0.0048156	-0.0021873
0.0182935	0.0215417	0.0220386	0.0161567	0.0256475	0.0222021	0.0371624	0.0066980
0.0162603	0.0139860	0.0019253	0.0099929	0.0065015	-0.0062056	0.0265933	0.0147584
0.0135283	0.0321038	-0.0215219	0.0028143	-0.0001241	0.0246996	-0.0016360	-0.0066759
0.0202069	0.0323483	0.0000000	0.0603376	0.0166480	0.0121900	0.0036416	0.0191419
-0.0026892	-0.0097843	0.0212097	-0.0095529	-0.0054993	-0.0131951	-0.0018142	0.0271432
0.0034670	0.0235369	-0.0207692	-0.0283089	-0.0127795	0.0069911	-0.0014541	-0.0105474
-0.0211564	-0.0316592	-0.0435977	-0.0424115	-0.0399553	0.0146268	-0.0146523	-0.0333700
-0.0120922	-0.0206288	0.0045173	-0.0365268	-0.0012964	0.0266230	-0.0000923	-0.0013186
0.0381984	0.0388381	0.0237121	0.0242186	0.0264832	-0.0355687	0.0269722	-0.0003001
-0.0196592	-0.0329139	-0.0245680	-0.0187189	-0.0137421	0.0143758	0.0106048	0.0073238
0.0233327	0.0325192	0.0116279	0.0320721	0.0242663	-0.0153152	0.0107905	0.0069726
0.0092648	0.0023431	0.0032053	0.0018466	0.0042342	-0.0022221	0.0331821	0.0117773
-0.0186752	-0.0452180	0.0008189	-0.0286805	0.0011439	-0.0400161	-0.0454624	-0.0187764
-0.0029394	0.0003947	0.0249540	-0.0081456	0.0029198	-0.0011247	-0.0141619	0.0114456
-0.0575400	-0.0745243	-0.0221513	-0.0808174	-0.0336709	0.0107670	-0.0358679	0.0083692
0.0090643	0.0003128	-0.0348979	-0.0088330	-0.0210897	-0.0034810	-0.0037012	-0.0233210
0.0152733	0.0176521	0.0289702	0.0160308	0.0179311	-0.0274330	0.0014287	0.0105326
-0.0183643	-0.0305857	0.0012331	0.0151225	-0.0051268	-0.0054669	-0.0198801	0.0293142
-0.0141442	-0.0159915	0.0000000	-0.0094845	-0.0050211	-0.0001448	-0.0148486	0.0190438
0.0081062	0.0124739	-0.0281199	0.0151902	-0.0087650	-0.0098388	0.0186189	-0.0032181
-0.0127470	-0.0244961	-0.0576558	-0.0189628	-0.0751608	0.0259792	0.0110251	0.0403851
-0.0279983	-0.0382449	-0.0459434	-0.0097153	-0.0055048	-0.0380062	-0.0162617	0.0076764
0.0614921	0.0835080	0.0655392	0.0535760	0.0745812	-0.0108964	0.0290743	-0.0312820
0.0183793	0.0236260	-0.0068343	-0.0035935	-0.0001355	-0.0358211	0.0045435	0.0171779
0.0005081	0.0069570	0.0188680	0.0070347	0.0071855	0.0304897	0.0392935	-0.0157912
-0.0118122	-0.0350975	-0.0211330	-0.0467312	-0.0188451	-0.0548424	-0.0016359	0.0109749
-0.0218513	-0.0307031	-0.0155798	0.0055087	-0.0119358	-0.0349265	-0.0122895	0.0141621
-0.0268394	-0.0385014	-0.0418268	-0.0315642	-0.0215217	-0.0062940	0.0097695	-0.0203760
-0.0329547	-0.0373387	0.0000000	-0.0401183	-0.0259687	-0.0045003	-0.0530302	-0.0187475
-0.0016020	-0.0127694	-0.0342143	-0.0128142	-0.0199591	-0.0467687	-0.0377832	-0.0084224
-0.0233870	-0.0236378	-0.0107501	-0.0247016	-0.0041624	0.0203223	-0.0306520	-0.0377950
-0.0300956	-0.0439159	0.0160534	-0.0111754	0.0116436	0.0218140	-0.0195310	0.0191955
0.0657804	0.0707358	0.0221195	0.0656520	0.0392505	0.0048098	0.0577573	0.0047667
-0.0113664	-0.0093821	0.0076100	-0.0030912	-0.0103651	-0.0238796	-0.0200279	-0.0015621
-0.0505188	-0.0566951	-0.0210166	-0.0427636	-0.0513464	-0.0194777	-0.0564319	0.0113570
-0.0573616	-0.0489889	-0.0354973	-0.0750882	-0.0496213	-0.0148546	-0.0520169	-0.0187349
0.0662001	0.0745796	0.0247039	0.0599952	0.0372479	0.0042826	0.0727812	-0.0068898
-0.0226620	-0.0423611	-0.0196803	-0.0210178	-0.0177199	0.0309997	-0.0035091	-0.0104062
0.0194891	0.0468578	0.0060227	0.0243859	-0.0046297	-0.0286652	-0.0074698	-0.0357652
-0.0091079	-0.0117826	-0.0364181	-0.0142377	-0.0152365	0.0323555	-0.0041931	-0.0202712
0.0258613	0.0346728	0.0204504	0.0370905	0.0325733	0.0207508	0.0294753	0.0104396
0.0427750	0.0446043	0.0136987	0.0431175	0.0365930	-0.0094474	0.0501310	0.0213482
0.0035923	0.0199390	0.0025025	0.0189586	-0.0108033	-0.0063730	-0.0157794	0.0072516
0.0329649	0.0268534	0.0247129	0.0501048	0.0269189	-0.0078989	0.0420092	0.0156089
-0.0116131	-0.0227915	-0.0280146	-0.0284987	-0.0310066	-0.0217221	-0.0197683	-0.0306785
-0.0398684	-0.0477606	0.0027568	-0.0291292	-0.0306076	0.0051309	-0.0373535	-0.0058997
-0.0322469	-0.0399101	-0.0312421	-0.0470420	-0.0357199	-0.0278737	-0.0380804	-0.0154550
0.0366103	0.0403835	0.0061919	0.0405908	0.0325781	-0.0173291	0.0440939	0.0035163
-0.0478509	-0.0578658	-0.0310256	-0.0448772	-0.0326713	-0.0114485	-0.0596999	-0.0249031
-0.0456738	-0.0460213	-0.0478963	-0.0652551	-0.0602650	-0.0127955	-0.0623975	-0.0181597
-0.0292703	-0.0299444	-0.0305724	-0.0091860	-0.0132135	-0.0307474	-0.0410686	0.0108490
0.0157064	0.0068847	0.0220757	0.0223746	0.0146403	-0.0118976	-0.0342667	0.0207539
-0.0142231	-0.0310665	-0.0403928	-0.0106756	-0.0144291	-0.0239627	-0.0211115	-0.0310363
0.0465845	0.0563013	0.0309852	0.0353096	0.0353509	-0.0547834	0.0246849	0.0076480
0.0393544	0.0210587	-0.0277856	0.0605674	0.0324194	0.0389611	0.0661849	-0.0064223
-0.0325690	-0.0588151	0.0557013	-0.0244595	0.0146985	-0.0242568	-0.0171244	0.0216114
0.0588814	0.0879553	0.0541437	0.0460040	0.0775308	0.0389513	0.0652147	0.0517032
-0.0062232	-0.0109043	-0.0034068	-0.0170145	-0.0047356	0.0178772	-0.0164697	-0.0107560
0.0159078	0.0073730	-0.0068367	0.0101242	0.0225633	0.0327178	0.0185934	0.0026415
0.0113837	0.0196221	0.0468627	0.0133096	0.0165115	0.0431969	0.0065759	0.0247518
-0.0334964	-0.0359254	-0.0131513	-0.0501462	-0.0119609	-0.0070968	-0.0190358	-0.0011957
-0.0209775	-0.0276203	-0.0157203	-0.0192894	-0.0183486	0.0097723	-0.0207587	-0.0016162
-0.0009392	-0.0227892	-0.0007931	0.0001147	0.0071844	-0.0462142	0.0001183	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	0.0440784	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	0.0271600	-0.0003904
0.0164416	0.0334841	-0.0335697	0.0390864	-0.0025140	0.0024787	0.0153426	-0.0321392
-0.0104523	-0.0211640	-0.0168787	-0.0339104	-0.0105012	-0.0310215	-0.0203621	-0.0005765
-0.0019116	0.0048715	-0.0126896	0.0148180	0.0049526	-0.0097688	-0.0082048	-0.0121136
-0.0267152	-0.0309137	-0.0347783	-0.0290997	-0.0278794	-0.0137722	-0.0405912	-0.0169916
0.0197033	0.0268288	0.0323760	0.0212789	0.0266511	0.0115981	0.0154057	0.0245916
-0.0452262	-0.0371396	-0.0429945	-0.0800001	-0.0314615	0.0363136	-0.0704257	0.0080004
0.0144292	0.0582567	-0.0060782	-0.0280962	-0.0214130	0.0119330	-0.0004872	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	-0.0044923	0.0521751	-0.0023414
-0.0004886	-0.0089739	-0.0017739	-0.0252803	0.0058726	0.0228933	-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

#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 = "black", background = "#F9EBEA") %>%
  kable_styling(bootstrap_options = "striped", full_width = F, position = "center")

Monthly return of portfilio

SPY	QQQ	EEM	IWM	EFA	TLT	IYR	GLD
0.0311946	0.0460390	0.0177637	0.0447511	0.0026675	-0.0034242	0.0545702	0.0327482
0.0608797	0.0771093	0.0811088	0.0823071	0.0638543	-0.0205732	0.0974850	-0.0043864
0.0154700	0.0224250	-0.0016619	0.0567846	-0.0280459	0.0332179	0.0638807	0.0588344
-0.0794544	-0.0739236	-0.0939355	-0.0753663	-0.1119279	0.0510834	-0.0568356	0.0305131
-0.0517408	-0.0597570	-0.0139870	-0.0774341	-0.0206194	0.0579784	-0.0467010	0.0235532
0.0683003	0.0725828	0.1093246	0.0673093	0.1161041	-0.0094631	0.0940481	-0.0508712
-0.0449805	-0.0512989	-0.0323669	-0.0744385	-0.0379504	0.0839083	-0.0129719	0.0570613
0.0895549	0.1317283	0.1175740	0.1244530	0.0997197	-0.0252032	0.0462968	0.0477556
0.0382017	0.0633788	0.0301540	0.0414811	0.0380555	-0.0446928	0.0393344	0.0368227
0.0000000	-0.0017249	-0.0290548	0.0348508	-0.0482375	-0.0168924	-0.0158298	0.0211130
0.0668526	0.0475711	0.0727782	0.0803338	0.0830809	-0.0369909	0.0457404	0.0243687
0.0233003	0.0282778	-0.0384132	-0.0037063	0.0209549	-0.0308124	0.0357399	-0.0637976
0.0347369	0.0316070	-0.0004366	0.0554200	0.0354981	0.0165023	0.0452037	0.0599831
0.0001203	-0.0044827	0.0628957	0.0252302	-0.0238828	0.0002935	-0.0109347	0.0159814
0.0289618	0.0287306	0.0273271	0.0263751	0.0562584	0.0233906	0.0466330	0.0894465
-0.0112152	-0.0121866	-0.0294000	-0.0179420	-0.0220613	0.0342284	0.0101332	-0.0179169
-0.0168696	-0.0202550	-0.0093550	-0.0240446	-0.0121077	-0.0232308	-0.0310595	-0.0243250
-0.0200042	0.0166521	-0.0102940	-0.0340620	-0.0237779	0.0441455	0.0021558	0.0841780
-0.0549759	-0.0506899	-0.0925496	-0.0889143	-0.0875489	0.0966749	-0.0531191	0.1227494
-0.0694207	-0.0449081	-0.1789471	-0.1115029	-0.1080826	0.1320616	-0.1066825	-0.1106235
0.1091474	0.1040198	0.1626781	0.1510110	0.0962746	-0.0382921	0.1318965	0.0587119
-0.0040640	-0.0269195	-0.0196032	-0.0037833	-0.0217639	0.0198911	-0.0366877	0.0166727
0.0104485	-0.0061420	-0.0426480	0.0051506	-0.0217498	0.0344485	0.0410742	-0.1066243
0.0463744	0.0841837	0.1099105	0.0714573	0.0526955	-0.0032996	0.0660095	0.1139548
0.0434054	0.0641008	0.0527189	0.0256899	0.0483315	-0.0259702	-0.0069353	-0.0296498
0.0321643	0.0505306	-0.0311302	0.0248473	0.0042078	-0.0423597	0.0449295	-0.0132083
-0.0066760	-0.0116953	-0.0169962	-0.0161817	-0.0207688	0.0483429	0.0258431	-0.0014803
-0.0600557	-0.0704014	-0.1070586	-0.0657911	-0.1114422	0.0902527	-0.0420908	-0.0633803
0.0405813	0.0362147	0.0503541	0.0505208	0.0704331	-0.0167817	0.0536526	0.0235458
0.0118295	0.0099750	-0.0002558	-0.0152081	0.0008008	0.0381730	0.0233034	0.0083768
0.0250526	0.0518513	0.0040899	0.0353539	0.0320001	-0.0131890	0.0030567	0.0493961
0.0253509	0.0088845	0.0521894	0.0326095	0.0271319	-0.0253280	-0.0111772	0.0467056
-0.0181984	-0.0527928	-0.0043551	-0.0216923	0.0109435	-0.0048402	-0.0059025	-0.0294374
0.0056598	0.0130870	0.0155531	0.0055124	0.0278086	0.0115920	-0.0057814	-0.0046754
0.0089344	-0.0046693	0.0680357	0.0361885	0.0438115	-0.0248764	0.0288548	-0.0242698
0.0511904	0.0267160	-0.0029311	0.0623819	0.0372846	-0.0318542	0.0402044	-0.0050611
0.0127585	0.0034394	-0.0228403	0.0100462	-0.0128856	0.0123872	0.0126354	-0.0508685
0.0379715	0.0302476	-0.0101827	0.0465908	0.0130538	-0.0041941	0.0286498	0.0094771
0.0192122	0.0253731	0.0121580	-0.0034951	0.0501866	0.0468484	0.0572827	-0.0756231
0.0236098	0.0357751	-0.0482787	0.0393200	-0.0301905	-0.0676094	-0.0649333	-0.0619879
-0.0133444	-0.0239527	-0.0532581	-0.0081798	-0.0267796	-0.0327121	-0.0238270	-0.1105884
0.0516768	0.0631403	0.0132466	0.0733419	0.0532288	-0.0225804	0.0024086	0.0743011
-0.0299924	-0.0039593	-0.0253779	-0.0316423	-0.0195527	-0.0134039	-0.0653251	0.0520475
0.0316465	0.0483221	0.0720671	0.0648915	0.0782493	0.0065183	0.0345016	-0.0478384
0.0463066	0.0495686	0.0417077	0.0242001	0.0326018	0.0143044	0.0373101	-0.0034326
0.0296375	0.0355114	-0.0025905	0.0395643	0.0054646	-0.0270327	-0.0463959	-0.0551120
0.0259268	0.0292715	-0.0040661	0.0202112	0.0217615	-0.0186968	0.0090472	-0.0379453
-0.0352486	-0.0192134	-0.0863636	-0.0277391	-0.0520120	0.0630272	0.0344004	0.0341887
0.0455162	0.0515243	0.0337785	0.0477886	0.0613113	0.0052408	0.0475100	0.0627030
0.0082955	-0.0273358	0.0387536	-0.0074845	-0.0045921	0.0073217	0.0014519	-0.0314214
0.0069515	-0.0031939	0.0078033	-0.0374762	0.0166667	0.0209519	0.0302939	0.0049349
0.0232062	0.0448566	0.0295185	0.0078583	0.0159546	0.0294955	0.0279691	-0.0305104
0.0206449	0.0312381	0.0240175	0.0527201	0.0092075	-0.0025128	0.0101263	0.0631902
-0.0134377	0.0118198	0.0136481	-0.0605430	-0.0260351	0.0066417	-0.0011146	-0.0363167
0.0394636	0.0500948	0.0282976	0.0482955	0.0018020	0.0472376	0.0347230	0.0038091
-0.0137962	-0.0075663	-0.0776743	-0.0592790	-0.0388245	-0.0211231	-0.0589060	-0.0617633
0.0235508	0.0264194	0.0141964	0.0659350	-0.0026515	0.0281859	0.0835261	-0.0305481
0.0274718	0.0454638	-0.0154212	0.0011153	0.0006257	0.0296734	0.0272072	-0.0048820
-0.0025365	-0.0224063	-0.0396351	0.0289295	-0.0399277	0.0325137	0.0080496	0.0131121
-0.0296291	-0.0208235	-0.0068719	-0.0327706	0.0062458	0.0981576	0.0571323	0.0868991
0.0562045	0.0722059	0.0440798	0.0594644	0.0633780	-0.0613835	-0.0259755	-0.0590522
-0.0157056	-0.0235900	-0.0149728	0.0176996	-0.0142858	0.0109218	0.0107447	-0.0215220
0.0098338	0.0192239	0.0685270	-0.0256492	0.0364656	-0.0342513	-0.0481594	-0.0016717
0.0128564	0.0224842	-0.0410448	0.0223633	0.0019547	-0.0237249	-0.0033109	0.0055521
-0.0203124	-0.0248406	-0.0293085	0.0078296	-0.0311822	-0.0407198	-0.0439797	-0.0151621
0.0225893	0.0455774	-0.0630996	-0.0110395	0.0203180	0.0454597	0.0495092	-0.0662099
-0.0609499	-0.0682446	-0.0883620	-0.0631099	-0.0742513	-0.0068944	-0.0581314	0.0370723
-0.0255161	-0.0220731	-0.0313239	-0.0493631	-0.0441888	0.0196681	0.0161532	-0.0180114
0.0850598	0.1136988	0.0637585	0.0562274	0.0661200	-0.0040880	0.0621565	0.0228336
0.0036551	0.0060885	-0.0252366	0.0325991	-0.0075273	-0.0086766	-0.0019902	-0.0675206
-0.0172827	-0.0159480	-0.0381985	-0.0503043	-0.0233190	-0.0029717	0.0110525	-0.0045133
-0.0497867	-0.0691040	-0.0503261	-0.0857749	-0.0551770	0.0557304	-0.0410228	0.0541100
-0.0008258	-0.0156535	-0.0081780	-0.0022340	-0.0333452	0.0308597	-0.0075001	0.1093034
0.0672660	0.0685259	0.1296176	0.0801345	0.0658210	-0.0009334	0.1025514	-0.0084289
0.0039411	-0.0318679	0.0040875	0.0167224	0.0222186	-0.0073653	-0.0166969	0.0510881
0.0170117	0.0437001	-0.0369293	0.0224039	-0.0008558	0.0080548	0.0220744	-0.0613830
0.0034758	-0.0227802	0.0455909	-0.0001738	-0.0241941	0.0693413	0.0624311	0.0896950
0.0364714	0.0715082	0.0538417	0.0587490	0.0397709	0.0210252	0.0365338	0.0198466
0.0011974	0.0105009	0.0088373	0.0178409	0.0053410	-0.0101343	-0.0334894	-0.0325632
0.0000581	0.0221355	0.0251847	0.0107383	0.0133678	-0.0150845	-0.0147270	0.0068921
-0.0173370	-0.0145722	-0.0082773	-0.0459706	-0.0221547	-0.0438062	-0.0496036	-0.0294492
0.0368383	0.0043594	-0.0441576	0.1106330	-0.0178138	-0.0821375	-0.0233557	-0.0835657
0.0202717	0.0113222	-0.0025266	0.0288446	0.0270625	-0.0046261	0.0423404	-0.0191499
0.0178949	0.0514012	0.0665524	0.0028178	0.0329120	0.0081427	0.0012996	0.0541922
0.0392917	0.0437505	0.0174074	0.0193005	0.0119067	0.0158458	0.0437435	0.0318477
0.0012498	0.0202684	0.0368517	0.0002602	0.0323170	-0.0065511	-0.0145304	-0.0042775
0.0099262	0.0272701	0.0170097	0.0114928	0.0242413	0.0157321	0.0056062	0.0172675
0.0141129	0.0389737	0.0284572	-0.0197037	0.0354232	0.0188786	-0.0011402	-0.0012420
0.0063749	-0.0231794	0.0092665	0.0337442	0.0029603	0.0079188	0.0208003	-0.0215553
0.0205544	0.0406127	0.0582265	0.0085241	0.0265340	-0.0065835	0.0111571	0.0231317
0.0029175	0.0207360	0.0235160	-0.0125782	-0.0004484	0.0340872	0.0066945	0.0419876
0.0201494	-0.0029522	-0.0004461	0.0630410	0.0236174	-0.0232286	-0.0078506	-0.0336989
0.0235640	0.0460637	0.0328049	0.0072885	0.0167933	-0.0003861	0.0005006	-0.0074848
0.0305660	0.0197173	-0.0038892	0.0294118	0.0068935	0.0074321	0.0256505	0.0035634
0.0121278	0.0060312	0.0376156	-0.0039849	0.0134885	0.0181260	-0.0012322	0.0210570
0.0563592	0.0875707	0.0829796	0.0255805	0.0502063	-0.0325559	-0.0302433	0.0323494
-0.0363603	-0.0129279	-0.0589849	-0.0384371	-0.0483479	-0.0304140	-0.0665732	-0.0207599
-0.0274105	-0.0407882	0.0054144	0.0121756	-0.0083960	0.0285963	0.0377191	0.0063200
0.0051682	0.0050583	-0.0281689	0.0098134	0.0152125	-0.0208815	0.0022525	-0.0095397
0.0243093	0.0567293	-0.0262148	0.0616359	-0.0189425	0.0200442	0.0337125	-0.0119592
0.0057506	0.0114503	-0.0454569	0.0061438	-0.0158412	0.0064578	0.0405946	-0.0361494
0.0370464	0.0279639	0.0353105	0.0164903	0.0285203	-0.0143687	0.0083148	-0.0224189
0.0319201	0.0578068	-0.0376730	0.0431062	-0.0223579	0.0131205	0.0237539	-0.0213811
0.0059456	-0.0028164	-0.0057908	-0.0232502	0.0096527	-0.0286433	-0.0285341	-0.0066073
-0.0691045	-0.0859572	-0.0876049	-0.1098786	-0.0813355	-0.0293050	-0.0238689	0.0211955
0.0185494	-0.0026499	0.0490297	0.0172633	0.0049633	0.0178720	0.0469849	0.0033869
-0.0880485	-0.0866072	-0.0348889	-0.1197215	-0.0534977	0.0585350	-0.0782227	0.0494201
0.0800657	0.0901076	0.1034305	0.1132191	0.0663492	0.0037855	0.1147581	0.0288660
0.0324158	0.0299119	-0.0153132	0.0517914	0.0253666	-0.0137640	0.0073021	-0.0060922
0.0181006	0.0392459	0.0113101	-0.0209332	0.0091803	0.0557170	0.0417092	-0.0159690
0.0408523	0.0549927	0.0235321	0.0339667	0.0292937	-0.0199112	-0.0004594	-0.0066388
-0.0637712	-0.0822519	-0.0732984	-0.0785265	-0.0503296	0.0683925	-0.0014943	0.0175743
0.0695866	0.0759006	0.0620774	0.0698490	0.0591165	0.0095013	0.0127903	0.0800291
0.0151194	0.0233479	-0.0265672	0.0068166	-0.0194736	0.0025654	0.0238236	0.0000751
-0.0167434	-0.0189953	-0.0378263	-0.0493101	-0.0192397	0.1104910	0.0343438	0.0791231
0.0194577	0.0091787	0.0169198	0.0203704	0.0316405	-0.0267991	0.0189002	-0.0339479
0.0221047	0.0438007	0.0418400	0.0271576	0.0338905	-0.0111323	0.0076971	0.0256355
0.0361983	0.0406942	-0.0009395	0.0406563	0.0112728	-0.0040710	-0.0112453	-0.0320859
0.0290556	0.0388636	0.0773026	0.0278652	0.0299540	-0.0319751	0.0085755	0.0365588
-0.0004039	0.0303844	-0.0615109	-0.0310256	-0.0282260	0.0769120	0.0160079	0.0449966
-0.0791659	-0.0605742	-0.0377583	-0.0884570	-0.0776526	0.0662646	-0.0758169	-0.0063617
-0.1248712	-0.0728585	-0.1576998	-0.2147707	-0.1410669	0.0637667	-0.1963243	-0.0022240
0.1269834	0.1497375	0.0735424	0.1384762	0.0581744	0.0121897	0.0931436	0.0726106
0.0476454	0.0660088	0.0297487	0.0659199	0.0542691	-0.0176191	0.0180146	0.0258816
0.0177344	0.0628667	0.0660493	0.0342992	0.0351120	0.0033661	0.0247162	0.0273770
0.0588922	0.0734652	0.0825204	0.0291942	0.0193855	0.0443515	0.0412385	0.1079046
0.0697967	0.1094472	0.0288750	0.0547637	0.0472200	-0.0504656	0.0023154	-0.0032357
-0.0374436	-0.0577861	-0.0101032	-0.0326131	-0.0204678	0.0077345	-0.0234141	-0.0417140
-0.0249336	-0.0304493	0.0140619	0.0220309	-0.0355069	-0.0338524	-0.0291832	-0.0051942
0.1087766	0.1122579	0.0899130	0.1824417	0.1426943	0.0166393	0.0857952	-0.0540863
0.0370486	0.0490244	0.0712946	0.0864645	0.0501542	-0.0122765	0.0250339	0.0701386
-0.0101905	0.0026137	0.0317400	0.0484547	-0.0078126	-0.0363282	-0.0043199	-0.0322382
0.0278057	-0.0013352	0.0078783	0.0620254	0.0223789	-0.0573297	0.0242730	-0.0625688
0.0453992	0.0171677	-0.0072584	0.0139504	0.0251317	-0.0524522	0.0577406	-0.0114331
0.0529104	0.0590981	0.0119984	0.0178782	0.0295242	0.0249509	0.0788559	0.0356339
0.0065661	-0.0120122	0.0164876	0.0027124	0.0348226	0.0000216	0.0100817	0.0767838
0.0224274	0.0626213	0.0095041	0.0186898	-0.0107801	0.0441910	0.0225841	-0.0714766
0.0244125	0.0286093	-0.0643700	-0.0362732	0.0077331	0.0371665	0.0468904	0.0252974
0.0297599	0.0421869	0.0156978	0.0220312	0.0144674	-0.0034018	0.0193964	-0.0007655
-0.0466055	-0.0568316	-0.0387331	-0.0288035	-0.0326140	-0.0290699	-0.0562687	-0.0322353
0.0701634	0.0786401	0.0107185	0.0425142	0.0317907	0.0246501	0.0727610	0.0147972
-0.0080348	0.0199685	-0.0408484	-0.0433238	-0.0453472	0.0277152	-0.0241261	-0.0069007
0.0462478	0.0115233	0.0150707	0.0227150	0.0439093	-0.0201383	0.0946917	0.0329910
-0.0527413	-0.0874703	-0.0002046	-0.0953472	-0.0363498	-0.0391386	-0.0823145	-0.0167876
-0.0295169	-0.0447596	-0.0432023	0.0103359	-0.0342918	-0.0163304	-0.0458810	0.0612173
0.0375904	0.0466787	-0.0338112	0.0115753	0.0051898	-0.0544438	0.0686461	0.0127256
-0.0877691	-0.1359574	-0.0613511	-0.0989916	-0.0673914	-0.0942385	-0.0413047	-0.0207030
0.0022573	-0.0158659	0.0061349	0.0019465	0.0199594	-0.0225331	-0.0444337	-0.0326155
-0.0824605	-0.0890787	-0.0515766	-0.0836635	-0.0876665	-0.0127456	-0.0689109	-0.0156597
0.0920874	0.1255173	-0.0034913	0.1056330	0.0516883	0.0243102	0.0886061	-0.0258815
-0.0408020	-0.0513219	-0.0132633	-0.0200267	-0.0611686	-0.0455312	-0.0586237	-0.0294333
-0.0924458	-0.1053554	-0.1153943	-0.0966045	-0.0922204	-0.0823510	-0.1271344	-0.0288818
0.0812755	0.0399986	-0.0197822	0.1116299	0.0589181	-0.0596442	0.0315648	-0.0178444
0.0555916	0.0554415	0.1558936	0.0220367	0.1316811	0.0715107	0.0616741	0.0849187
-0.0576282	-0.0901367	-0.0263750	-0.0651412	-0.0181291	-0.0262005	-0.0473349	0.0293065
0.0628874	0.1064292	0.0912928	0.0981875	0.0900365	0.0764364	0.0997742	0.0575926
-0.0251427	-0.0035978	-0.0756770	-0.0172341	-0.0307478	-0.0485055	-0.0596177	-0.0536760
0.0370778	0.0949272	0.0321737	-0.0484734	0.0312905	0.0483934	-0.0193698	0.0791613
0.0159749	0.0050790	-0.0083629	-0.0179372	0.0293626	0.0033836	0.0091872	0.0086235
0.0046162	0.0788380	-0.0240225	-0.0081620	-0.0400707	-0.0301529	-0.0402660	-0.0134199
0.0288381	0.0187075	0.0519056	0.0677470	0.0305790	-0.0077592	0.0292798	-0.0015358

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:
## Rows: 1162 Columns: 5
## ── Column specification
## ──────────────────────────────────────────────────────── Delimiter: "," dbl
## (5): ...1, 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.
## • `` -> `...1`

#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
##    <dbl>    <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 = "black", background = "#F9EBEA") %>%
  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	0.0311946	0.0460390	0.0177637	0.0447511	0.0026675	-0.0034242	0.0545702	0.0327482
02/2010	0.0340	0.0119	0.0323	0.0000	0.0608797	0.0771093	0.0811088	0.0823071	0.0638543	-0.0205732	0.0974850	-0.0043864
03/2010	0.0631	0.0148	0.0221	0.0001	0.0154700	0.0224250	-0.0016619	0.0567846	-0.0280459	0.0332179	0.0638807	0.0588344
04/2010	0.0200	0.0487	0.0289	0.0001	-0.0794544	-0.0739236	-0.0939355	-0.0753663	-0.1119279	0.0510834	-0.0568356	0.0305131
05/2010	-0.0789	0.0009	-0.0244	0.0001	-0.0517408	-0.0597570	-0.0139870	-0.0774341	-0.0206194	0.0579784	-0.0467010	0.0235532
06/2010	-0.0557	-0.0182	-0.0470	0.0001	0.0683003	0.0725828	0.1093246	0.0673093	0.1161041	-0.0094631	0.0940481	-0.0508712
07/2010	0.0693	0.0022	-0.0033	0.0001	-0.0449805	-0.0512989	-0.0323669	-0.0744385	-0.0379504	0.0839083	-0.0129719	0.0570613
08/2010	-0.0477	-0.0298	-0.0193	0.0001	0.0895549	0.1317283	0.1175740	0.1244530	0.0997197	-0.0252032	0.0462968	0.0477556
09/2010	0.0954	0.0397	-0.0318	0.0001	0.0382017	0.0633788	0.0301540	0.0414811	0.0380555	-0.0446928	0.0393344	0.0368227
10/2010	0.0388	0.0119	-0.0251	0.0001	0.0000000	-0.0017249	-0.0290548	0.0348508	-0.0482375	-0.0168924	-0.0158298	0.0211130
11/2010	0.0060	0.0374	-0.0092	0.0001	0.0668526	0.0475711	0.0727782	0.0803338	0.0830809	-0.0369909	0.0457404	0.0243687
12/2010	0.0682	0.0069	0.0376	0.0001	0.0233003	0.0282778	-0.0384132	-0.0037063	0.0209549	-0.0308124	0.0357399	-0.0637976
01/2011	0.0199	-0.0245	0.0075	0.0001	0.0347369	0.0316070	-0.0004366	0.0554200	0.0354981	0.0165023	0.0452037	0.0599831
02/2011	0.0349	0.0153	0.0127	0.0001	0.0001203	-0.0044827	0.0628957	0.0252302	-0.0238828	0.0002935	-0.0109347	0.0159814
03/2011	0.0046	0.0256	-0.0185	0.0001	0.0289618	0.0287306	0.0273271	0.0263751	0.0562584	0.0233906	0.0466330	0.0894465
04/2011	0.0290	-0.0033	-0.0249	0.0000	-0.0112152	-0.0121866	-0.0294000	-0.0179420	-0.0220613	0.0342284	0.0101332	-0.0179169
05/2011	-0.0127	-0.0067	-0.0200	0.0000	-0.0168696	-0.0202550	-0.0093550	-0.0240446	-0.0121077	-0.0232308	-0.0310595	-0.0243250
06/2011	-0.0175	-0.0015	-0.0039	0.0000	-0.0200042	0.0166521	-0.0102940	-0.0340620	-0.0237779	0.0441455	0.0021558	0.0841780
07/2011	-0.0235	-0.0127	-0.0090	0.0000	-0.0549759	-0.0506899	-0.0925496	-0.0889143	-0.0875489	0.0966749	-0.0531191	0.1227494
08/2011	-0.0599	-0.0305	-0.0236	0.0001	-0.0694207	-0.0449081	-0.1789471	-0.1115029	-0.1080826	0.1320616	-0.1066825	-0.1106235
09/2011	-0.0759	-0.0331	-0.0172	0.0000	0.1091474	0.1040198	0.1626781	0.1510110	0.0962746	-0.0382921	0.1318965	0.0587119
10/2011	0.1135	0.0328	0.0010	0.0000	-0.0040640	-0.0269195	-0.0196032	-0.0037833	-0.0217639	0.0198911	-0.0366877	0.0166727
11/2011	-0.0028	-0.0016	-0.0045	0.0000	0.0104485	-0.0061420	-0.0426480	0.0051506	-0.0217498	0.0344485	0.0410742	-0.1066243
12/2011	0.0074	-0.0059	0.0163	0.0000	0.0463744	0.0841837	0.1099105	0.0714573	0.0526955	-0.0032996	0.0660095	0.1139548
01/2012	0.0505	0.0203	-0.0097	0.0000	0.0434054	0.0641008	0.0527189	0.0256899	0.0483315	-0.0259702	-0.0069353	-0.0296498
02/2012	0.0442	-0.0185	0.0043	0.0000	0.0321643	0.0505306	-0.0311302	0.0248473	0.0042078	-0.0423597	0.0449295	-0.0132083
03/2012	0.0311	-0.0065	0.0114	0.0000	-0.0066760	-0.0116953	-0.0169962	-0.0161817	-0.0207688	0.0483429	0.0258431	-0.0014803
04/2012	-0.0085	-0.0041	-0.0078	0.0000	-0.0600557	-0.0704014	-0.1070586	-0.0657911	-0.1114422	0.0902527	-0.0420908	-0.0633803
05/2012	-0.0619	0.0007	-0.0106	0.0001	0.0405813	0.0362147	0.0503541	0.0505208	0.0704331	-0.0167817	0.0536526	0.0235458
06/2012	0.0389	0.0067	0.0062	0.0000	0.0118295	0.0099750	-0.0002558	-0.0152081	0.0008008	0.0381730	0.0233034	0.0083768
07/2012	0.0079	-0.0277	-0.0002	0.0000	0.0250526	0.0518513	0.0040899	0.0353539	0.0320001	-0.0131890	0.0030567	0.0493961
08/2012	0.0255	0.0048	0.0130	0.0001	0.0253509	0.0088845	0.0521894	0.0326095	0.0271319	-0.0253280	-0.0111772	0.0467056
09/2012	0.0273	0.0051	0.0160	0.0001	-0.0181984	-0.0527928	-0.0043551	-0.0216923	0.0109435	-0.0048402	-0.0059025	-0.0294374
10/2012	-0.0176	-0.0116	0.0359	0.0001	0.0056598	0.0130870	0.0155531	0.0055124	0.0278086	0.0115920	-0.0057814	-0.0046754
11/2012	0.0078	0.0064	-0.0084	0.0001	0.0089344	-0.0046693	0.0680357	0.0361885	0.0438115	-0.0248764	0.0288548	-0.0242698
12/2012	0.0118	0.0150	0.0351	0.0001	0.0511904	0.0267160	-0.0029311	0.0623819	0.0372846	-0.0318542	0.0402044	-0.0050611
01/2013	0.0557	0.0033	0.0096	0.0000	0.0127585	0.0034394	-0.0228403	0.0100462	-0.0128856	0.0123872	0.0126354	-0.0508685
02/2013	0.0129	-0.0028	0.0011	0.0000	0.0379715	0.0302476	-0.0101827	0.0465908	0.0130538	-0.0041941	0.0286498	0.0094771
03/2013	0.0403	0.0081	-0.0019	0.0000	0.0192122	0.0253731	0.0121580	-0.0034951	0.0501866	0.0468484	0.0572827	-0.0756231
04/2013	0.0155	-0.0236	0.0045	0.0000	0.0236098	0.0357751	-0.0482787	0.0393200	-0.0301905	-0.0676094	-0.0649333	-0.0619879
05/2013	0.0280	0.0173	0.0263	0.0000	-0.0133444	-0.0239527	-0.0532581	-0.0081798	-0.0267796	-0.0327121	-0.0238270	-0.1105884
06/2013	-0.0120	0.0133	0.0003	0.0000	0.0516768	0.0631403	0.0132466	0.0733419	0.0532288	-0.0225804	0.0024086	0.0743011
07/2013	0.0565	0.0186	0.0057	0.0000	-0.0299924	-0.0039593	-0.0253779	-0.0316423	-0.0195527	-0.0134039	-0.0653251	0.0520475
08/2013	-0.0271	0.0028	-0.0269	0.0000	0.0316465	0.0483221	0.0720671	0.0648915	0.0782493	0.0065183	0.0345016	-0.0478384
09/2013	0.0377	0.0291	-0.0122	0.0000	0.0463066	0.0495686	0.0417077	0.0242001	0.0326018	0.0143044	0.0373101	-0.0034326
10/2013	0.0418	-0.0156	0.0125	0.0000	0.0296375	0.0355114	-0.0025905	0.0395643	0.0054646	-0.0270327	-0.0463959	-0.0551120
11/2013	0.0313	0.0129	0.0032	0.0000	0.0259268	0.0292715	-0.0040661	0.0202112	0.0217615	-0.0186968	0.0090472	-0.0379453
12/2013	0.0281	-0.0045	-0.0002	0.0000	-0.0352486	-0.0192134	-0.0863636	-0.0277391	-0.0520120	0.0630272	0.0344004	0.0341887
01/2014	-0.0332	0.0090	-0.0207	0.0000	0.0455162	0.0515243	0.0337785	0.0477886	0.0613113	0.0052408	0.0475100	0.0627030
02/2014	0.0465	0.0037	-0.0031	0.0000	0.0082955	-0.0273358	0.0387536	-0.0074845	-0.0045921	0.0073217	0.0014519	-0.0314214
03/2014	0.0043	-0.0185	0.0493	0.0000	0.0069515	-0.0031939	0.0078033	-0.0374762	0.0166667	0.0209519	0.0302939	0.0049349
04/2014	-0.0019	-0.0420	0.0117	0.0000	0.0232062	0.0448566	0.0295185	0.0078583	0.0159546	0.0294955	0.0279691	-0.0305104
05/2014	0.0206	-0.0188	-0.0013	0.0000	0.0206449	0.0312381	0.0240175	0.0527201	0.0092075	-0.0025128	0.0101263	0.0631902
06/2014	0.0261	0.0308	-0.0070	0.0000	-0.0134377	0.0118198	0.0136481	-0.0605430	-0.0260351	0.0066417	-0.0011146	-0.0363167
07/2014	-0.0204	-0.0429	0.0003	0.0000	0.0394636	0.0500948	0.0282976	0.0482955	0.0018020	0.0472376	0.0347230	0.0038091
08/2014	0.0424	0.0040	-0.0045	0.0000	-0.0137962	-0.0075663	-0.0776743	-0.0592790	-0.0388245	-0.0211231	-0.0589060	-0.0617633
09/2014	-0.0197	-0.0372	-0.0134	0.0000	0.0235508	0.0264194	0.0141964	0.0659350	-0.0026515	0.0281859	0.0835261	-0.0305481
10/2014	0.0252	0.0420	-0.0181	0.0000	0.0274718	0.0454638	-0.0154212	0.0011153	0.0006257	0.0296734	0.0272072	-0.0048820
11/2014	0.0255	-0.0206	-0.0309	0.0000	-0.0025365	-0.0224063	-0.0396351	0.0289295	-0.0399277	0.0325137	0.0080496	0.0131121
12/2014	-0.0006	0.0249	0.0227	0.0000	-0.0296291	-0.0208235	-0.0068719	-0.0327706	0.0062458	0.0981576	0.0571323	0.0868991
01/2015	-0.0311	-0.0055	-0.0358	0.0000	0.0562045	0.0722059	0.0440798	0.0594644	0.0633780	-0.0613835	-0.0259755	-0.0590522
02/2015	0.0613	0.0061	-0.0186	0.0000	-0.0157056	-0.0235900	-0.0149728	0.0176996	-0.0142858	0.0109218	0.0107447	-0.0215220
03/2015	-0.0112	0.0304	-0.0037	0.0000	0.0098338	0.0192239	0.0685270	-0.0256492	0.0364656	-0.0342513	-0.0481594	-0.0016717
04/2015	0.0059	-0.0303	0.0182	0.0000	0.0128564	0.0224842	-0.0410448	0.0223633	0.0019547	-0.0237249	-0.0033109	0.0055521
05/2015	0.0136	0.0092	-0.0114	0.0000	-0.0203124	-0.0248406	-0.0293085	0.0078296	-0.0311822	-0.0407198	-0.0439797	-0.0151621
06/2015	-0.0153	0.0290	-0.0079	0.0000	0.0225893	0.0455774	-0.0630996	-0.0110395	0.0203180	0.0454597	0.0495092	-0.0662099
07/2015	0.0154	-0.0419	-0.0413	0.0000	-0.0609499	-0.0682446	-0.0883620	-0.0631099	-0.0742513	-0.0068944	-0.0581314	0.0370723
08/2015	-0.0604	0.0033	0.0277	0.0000	-0.0255161	-0.0220731	-0.0313239	-0.0493631	-0.0441888	0.0196681	0.0161532	-0.0180114
09/2015	-0.0307	-0.0263	0.0056	0.0000	0.0850598	0.1136988	0.0637585	0.0562274	0.0661200	-0.0040880	0.0621565	0.0228336
10/2015	0.0775	-0.0187	-0.0046	0.0000	0.0036551	0.0060885	-0.0252366	0.0325991	-0.0075273	-0.0086766	-0.0019902	-0.0675206
11/2015	0.0056	0.0359	-0.0042	0.0000	-0.0172827	-0.0159480	-0.0381985	-0.0503043	-0.0233190	-0.0029717	0.0110525	-0.0045133
12/2015	-0.0217	-0.0282	-0.0261	0.0001	-0.0497867	-0.0691040	-0.0503261	-0.0857749	-0.0551770	0.0557304	-0.0410228	0.0541100
01/2016	-0.0577	-0.0343	0.0209	0.0001	-0.0008258	-0.0156535	-0.0081780	-0.0022340	-0.0333452	0.0308597	-0.0075001	0.1093034
02/2016	-0.0007	0.0071	-0.0057	0.0002	0.0672660	0.0685259	0.1296176	0.0801345	0.0658210	-0.0009334	0.1025514	-0.0084289
03/2016	0.0696	0.0082	0.0119	0.0002	0.0039411	-0.0318679	0.0040875	0.0167224	0.0222186	-0.0073653	-0.0166969	0.0510881
04/2016	0.0091	0.0074	0.0328	0.0001	0.0170117	0.0437001	-0.0369293	0.0224039	-0.0008558	0.0080548	0.0220744	-0.0613830
05/2016	0.0178	-0.0018	-0.0166	0.0001	0.0034758	-0.0227802	0.0455909	-0.0001738	-0.0241941	0.0693413	0.0624311	0.0896950
06/2016	-0.0005	0.0060	-0.0148	0.0002	0.0364714	0.0715082	0.0538417	0.0587490	0.0397709	0.0210252	0.0365338	0.0198466
07/2016	0.0395	0.0251	-0.0127	0.0002	0.0011974	0.0105009	0.0088373	0.0178409	0.0053410	-0.0101343	-0.0334894	-0.0325632
08/2016	0.0049	0.0118	0.0313	0.0002	0.0000581	0.0221355	0.0251847	0.0107383	0.0133678	-0.0150845	-0.0147270	0.0068921
09/2016	0.0025	0.0213	-0.0123	0.0002	-0.0173370	-0.0145722	-0.0082773	-0.0459706	-0.0221547	-0.0438062	-0.0496036	-0.0294492
10/2016	-0.0202	-0.0442	0.0412	0.0002	0.0368383	0.0043594	-0.0441576	0.1106330	-0.0178138	-0.0821375	-0.0233557	-0.0835657
11/2016	0.0486	0.0567	0.0819	0.0001	0.0202717	0.0113222	-0.0025266	0.0288446	0.0270625	-0.0046261	0.0423404	-0.0191499
12/2016	0.0181	0.0008	0.0356	0.0003	0.0178949	0.0514012	0.0665524	0.0028178	0.0329120	0.0081427	0.0012996	0.0541922
01/2017	0.0194	-0.0114	-0.0276	0.0004	0.0392917	0.0437505	0.0174074	0.0193005	0.0119067	0.0158458	0.0437435	0.0318477
02/2017	0.0357	-0.0202	-0.0168	0.0004	0.0012498	0.0202684	0.0368517	0.0002602	0.0323170	-0.0065511	-0.0145304	-0.0042775
03/2017	0.0017	0.0114	-0.0332	0.0003	0.0099262	0.0272701	0.0170097	0.0114928	0.0242413	0.0157321	0.0056062	0.0172675
04/2017	0.0109	0.0072	-0.0210	0.0005	0.0141129	0.0389737	0.0284572	-0.0197037	0.0354232	0.0188786	-0.0011402	-0.0012420
05/2017	0.0106	-0.0252	-0.0378	0.0006	0.0063749	-0.0231794	0.0092665	0.0337442	0.0029603	0.0079188	0.0208003	-0.0215553
06/2017	0.0078	0.0223	0.0148	0.0006	0.0205544	0.0406127	0.0582265	0.0085241	0.0265340	-0.0065835	0.0111571	0.0231317
07/2017	0.0187	-0.0146	-0.0024	0.0007	0.0029175	0.0207360	0.0235160	-0.0125782	-0.0004484	0.0340872	0.0066945	0.0419876
08/2017	0.0016	-0.0167	-0.0209	0.0009	0.0201494	-0.0029522	-0.0004461	0.0630410	0.0236174	-0.0232286	-0.0078506	-0.0336989
09/2017	0.0251	0.0446	0.0312	0.0009	0.0235640	0.0460637	0.0328049	0.0072885	0.0167933	-0.0003861	0.0005006	-0.0074848
10/2017	0.0225	-0.0193	0.0021	0.0009	0.0305660	0.0197173	-0.0038892	0.0294118	0.0068935	0.0074321	0.0256505	0.0035634
11/2017	0.0312	-0.0058	-0.0008	0.0008	0.0121278	0.0060312	0.0376156	-0.0039849	0.0134885	0.0181260	-0.0012322	0.0210570
12/2017	0.0106	-0.0132	0.0005	0.0009	0.0563592	0.0875707	0.0829796	0.0255805	0.0502063	-0.0325559	-0.0302433	0.0323494
01/2018	0.0557	-0.0315	-0.0133	0.0012	-0.0363603	-0.0129279	-0.0589849	-0.0384371	-0.0483479	-0.0304140	-0.0665732	-0.0207599
02/2018	-0.0365	0.0023	-0.0107	0.0011	-0.0274105	-0.0407882	0.0054144	0.0121756	-0.0083960	0.0285963	0.0377191	0.0063200
03/2018	-0.0235	0.0405	-0.0023	0.0011	0.0051682	0.0050583	-0.0281689	0.0098134	0.0152125	-0.0208815	0.0022525	-0.0095397
04/2018	0.0028	0.0114	0.0054	0.0014	0.0243093	0.0567293	-0.0262148	0.0616359	-0.0189425	0.0200442	0.0337125	-0.0119592
05/2018	0.0265	0.0526	-0.0318	0.0014	0.0057506	0.0114503	-0.0454569	0.0061438	-0.0158412	0.0064578	0.0405946	-0.0361494
06/2018	0.0048	0.0115	-0.0233	0.0014	0.0370464	0.0279639	0.0353105	0.0164903	0.0285203	-0.0143687	0.0083148	-0.0224189
07/2018	0.0319	-0.0223	0.0047	0.0016	0.0319201	0.0578068	-0.0376730	0.0431062	-0.0223579	0.0131205	0.0237539	-0.0213811
08/2018	0.0344	0.0113	-0.0398	0.0016	0.0059456	-0.0028164	-0.0057908	-0.0232502	0.0096527	-0.0286433	-0.0285341	-0.0066073
09/2018	0.0006	-0.0228	-0.0169	0.0015	-0.0691045	-0.0859572	-0.0876049	-0.1098786	-0.0813355	-0.0293050	-0.0238689	0.0211955
10/2018	-0.0768	-0.0477	0.0344	0.0019	0.0185494	-0.0026499	0.0490297	0.0172633	0.0049633	0.0178720	0.0469849	0.0033869
11/2018	0.0169	-0.0068	0.0028	0.0018	-0.0880485	-0.0866072	-0.0348889	-0.1197215	-0.0534977	0.0585350	-0.0782227	0.0494201
12/2018	-0.0957	-0.0237	-0.0185	0.0020	0.0800657	0.0901076	0.1034305	0.1132191	0.0663492	0.0037855	0.1147581	0.0288660
01/2019	0.0840	0.0289	-0.0046	0.0021	0.0324158	0.0299119	-0.0153132	0.0517914	0.0253666	-0.0137640	0.0073021	-0.0060922
02/2019	0.0340	0.0205	-0.0267	0.0018	0.0181006	0.0392459	0.0113101	-0.0209332	0.0091803	0.0557170	0.0417092	-0.0159690
03/2019	0.0110	-0.0303	-0.0410	0.0019	0.0408523	0.0549927	0.0235321	0.0339667	0.0292937	-0.0199112	-0.0004594	-0.0066388
04/2019	0.0397	-0.0174	0.0214	0.0021	-0.0637712	-0.0822519	-0.0732984	-0.0785265	-0.0503296	0.0683925	-0.0014943	0.0175743
05/2019	-0.0694	-0.0131	-0.0235	0.0021	0.0695866	0.0759006	0.0620774	0.0698490	0.0591165	0.0095013	0.0127903	0.0800291
06/2019	0.0693	0.0027	-0.0072	0.0018	0.0151194	0.0233479	-0.0265672	0.0068166	-0.0194736	0.0025654	0.0238236	0.0000751
07/2019	0.0119	-0.0193	0.0047	0.0019	-0.0167434	-0.0189953	-0.0378263	-0.0493101	-0.0192397	0.1104910	0.0343438	0.0791231
08/2019	-0.0258	-0.0237	-0.0477	0.0016	0.0194577	0.0091787	0.0169198	0.0203704	0.0316405	-0.0267991	0.0189002	-0.0339479
09/2019	0.0143	-0.0097	0.0674	0.0018	0.0221047	0.0438007	0.0418400	0.0271576	0.0338905	-0.0111323	0.0076971	0.0256355
10/2019	0.0206	0.0029	-0.0192	0.0016	0.0361983	0.0406942	-0.0009395	0.0406563	0.0112728	-0.0040710	-0.0112453	-0.0320859
11/2019	0.0387	0.0079	-0.0200	0.0012	0.0290556	0.0388636	0.0773026	0.0278652	0.0299540	-0.0319751	0.0085755	0.0365588
12/2019	0.0277	0.0073	0.0177	0.0014	-0.0004039	0.0303844	-0.0615109	-0.0310256	-0.0282260	0.0769120	0.0160079	0.0449966
01/2020	-0.0011	-0.0311	-0.0623	0.0013	-0.0791659	-0.0605742	-0.0377583	-0.0884570	-0.0776526	0.0662646	-0.0758169	-0.0063617
02/2020	-0.0813	0.0107	-0.0379	0.0012	-0.1248712	-0.0728585	-0.1576998	-0.2147707	-0.1410669	0.0637667	-0.1963243	-0.0022240
03/2020	-0.1339	-0.0486	-0.1395	0.0013	0.1269834	0.1497375	0.0735424	0.1384762	0.0581744	0.0121897	0.0931436	0.0726106
04/2020	0.1365	0.0247	-0.0126	0.0000	0.0476454	0.0660088	0.0297487	0.0659199	0.0542691	-0.0176191	0.0180146	0.0258816
05/2020	0.0558	0.0247	-0.0489	0.0001	0.0177344	0.0628667	0.0660493	0.0342992	0.0351120	0.0033661	0.0247162	0.0273770
06/2020	0.0246	0.0270	-0.0217	0.0001	0.0588922	0.0734652	0.0825204	0.0291942	0.0193855	0.0443515	0.0412385	0.1079046
07/2020	0.0577	-0.0232	-0.0137	0.0001	0.0697967	0.1094472	0.0288750	0.0547637	0.0472200	-0.0504656	0.0023154	-0.0032357
08/2020	0.0763	-0.0022	-0.0296	0.0001	-0.0374436	-0.0577861	-0.0101032	-0.0326131	-0.0204678	0.0077345	-0.0234141	-0.0417140
09/2020	-0.0363	0.0004	-0.0268	0.0001	-0.0249336	-0.0304493	0.0140619	0.0220309	-0.0355069	-0.0338524	-0.0291832	-0.0051942
10/2020	-0.0210	0.0437	0.0422	0.0001	0.1087766	0.1122579	0.0899130	0.1824417	0.1426943	0.0166393	0.0857952	-0.0540863
11/2020	0.1247	0.0581	0.0213	0.0001	0.0370486	0.0490244	0.0712946	0.0864645	0.0501542	-0.0122765	0.0250339	0.0701386
12/2020	0.0463	0.0489	-0.0150	0.0001	-0.0101905	0.0026137	0.0317400	0.0484547	-0.0078126	-0.0363282	-0.0043199	-0.0322382
01/2021	-0.0003	0.0734	0.0297	0.0001	0.0278057	-0.0013352	0.0078783	0.0620254	0.0223789	-0.0573297	0.0242730	-0.0625688
02/2021	0.0278	0.0206	0.0717	0.0000	0.0453992	0.0171677	-0.0072584	0.0139504	0.0251317	-0.0524522	0.0577406	-0.0114331
03/2021	0.0308	-0.0237	0.0739	0.0000	0.0529104	0.0590981	0.0119984	0.0178782	0.0295242	0.0249509	0.0788559	0.0356339
04/2021	0.0493	-0.0320	-0.0095	0.0000	0.0065661	-0.0120122	0.0164876	0.0027124	0.0348226	0.0000216	0.0100817	0.0767838
05/2021	0.0029	-0.0025	0.0709	0.0000	0.0224274	0.0626213	0.0095041	0.0186898	-0.0107801	0.0441910	0.0225841	-0.0714766
06/2021	0.0275	0.0170	-0.0783	0.0000	0.0244125	0.0286093	-0.0643700	-0.0362732	0.0077331	0.0371665	0.0468904	0.0252974
07/2021	0.0127	-0.0399	-0.0178	0.0000	0.0297599	0.0421869	0.0156978	0.0220312	0.0144674	-0.0034018	0.0193964	-0.0007655
08/2021	0.0291	-0.0043	-0.0015	0.0000	-0.0466055	-0.0568316	-0.0387331	-0.0288035	-0.0326140	-0.0290699	-0.0562687	-0.0322353
09/2021	-0.0437	0.0072	0.0509	0.0000	0.0701634	0.0786401	0.0107185	0.0425142	0.0317907	0.0246501	0.0727610	0.0147972
10/2021	0.0665	-0.0234	-0.0049	0.0000	-0.0080348	0.0199685	-0.0408484	-0.0433238	-0.0453472	0.0277152	-0.0241261	-0.0069007
11/2021	-0.0155	-0.0132	-0.0045	0.0000	0.0462478	0.0115233	0.0150707	0.0227150	0.0439093	-0.0201383	0.0946917	0.0329910
12/2021	0.0310	-0.0165	0.0326	0.0001	-0.0527413	-0.0874703	-0.0002046	-0.0953472	-0.0363498	-0.0391386	-0.0823145	-0.0167876
01/2022	-0.0625	-0.0593	0.1275	0.0000	-0.0295169	-0.0447596	-0.0432023	0.0103359	-0.0342918	-0.0163304	-0.0458810	0.0612173
02/2022	-0.0229	0.0221	0.0308	0.0000	0.0375904	0.0466787	-0.0338112	0.0115753	0.0051898	-0.0544438	0.0686461	0.0127256
03/2022	0.0305	-0.0160	-0.0180	0.0001	-0.0877691	-0.1359574	-0.0613511	-0.0989916	-0.0673914	-0.0942385	-0.0413047	-0.0207030
04/2022	-0.0946	-0.0140	0.0617	0.0001	0.0022573	-0.0158659	0.0061349	0.0019465	0.0199594	-0.0225331	-0.0444337	-0.0326155
05/2022	-0.0034	-0.0183	0.0839	0.0003	-0.0824605	-0.0890787	-0.0515766	-0.0836635	-0.0876665	-0.0127456	-0.0689109	-0.0156597
06/2022	-0.0843	0.0210	-0.0598	0.0006	0.0920874	0.1255173	-0.0034913	0.1056330	0.0516883	0.0243102	0.0886061	-0.0258815
07/2022	0.0957	0.0280	-0.0410	0.0008	-0.0408020	-0.0513219	-0.0132633	-0.0200267	-0.0611686	-0.0455312	-0.0586237	-0.0294333
08/2022	-0.0377	0.0137	0.0030	0.0019	-0.0924458	-0.1053554	-0.1153943	-0.0966045	-0.0922204	-0.0823510	-0.1271344	-0.0288818
09/2022	-0.0935	-0.0079	0.0006	0.0019	0.0812755	0.0399986	-0.0197822	0.1116299	0.0589181	-0.0596442	0.0315648	-0.0178444
10/2022	0.0783	0.0009	0.0805	0.0023	0.0555916	0.0554415	0.1558936	0.0220367	0.1316811	0.0715107	0.0616741	0.0849187
11/2022	0.0460	-0.0340	0.0138	0.0029	-0.0576282	-0.0901367	-0.0263750	-0.0651412	-0.0181291	-0.0262005	-0.0473349	0.0293065
12/2022	-0.0641	-0.0068	0.0132	0.0033	0.0628874	0.1064292	0.0912928	0.0981875	0.0900365	0.0764364	0.0997742	0.0575926
01/2023	0.0665	0.0502	-0.0405	0.0035	-0.0251427	-0.0035978	-0.0756770	-0.0172341	-0.0307478	-0.0485055	-0.0596177	-0.0536760
02/2023	-0.0258	0.0121	-0.0078	0.0034	0.0370778	0.0949272	0.0321737	-0.0484734	0.0312905	0.0483934	-0.0193698	0.0791613
03/2023	0.0251	-0.0559	-0.0901	0.0036	0.0159749	0.0050790	-0.0083629	-0.0179372	0.0293626	0.0033836	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

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 
## # … with 151 more rows, and 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 
## # … with 50 more rows

#Construct market data 
market <- read_csv("F-F_Research_Data_Factors.CSV")

## New names:
## Rows: 1162 Columns: 5
## ── Column specification
## ──────────────────────────────────────────────────────── Delimiter: "," dbl
## (5): ...1, 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.
## • `` -> `...1`

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 
## # … with 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 0.000000000 0.000000000 0.00000000 0.000000000
## [2,] 0.000000000 0.001827606 0.000000000 0.000000000 0.00000000 0.000000000
## [3,] 0.000000000 0.000000000 0.003284289 0.000000000 0.00000000 0.000000000
## [4,] 0.000000000 0.000000000 0.000000000 0.002702398 0.00000000 0.000000000
## [5,] 0.000000000 0.000000000 0.000000000 0.000000000 0.00237026 0.000000000
## [6,] 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.001700702
## [7,] 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
## [8,] 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
##             [,7]       [,8]
## [1,] 0.000000000 0.00000000
## [2,] 0.000000000 0.00000000
## [3,] 0.000000000 0.00000000
## [4,] 0.000000000 0.00000000
## [5,] 0.000000000 0.00000000
## [6,] 0.000000000 0.00000000
## [7,] 0.002022671 0.00000000
## [8,] 0.000000000 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  1.444663e-03  3.789291e-05  7.125741e-05  4.790183e-05  6.473775e-05
## QQQ  3.789291e-05  1.896031e-03  1.089755e-04  7.272802e-05  9.980530e-05
## EEM  7.125741e-05  1.089755e-04  3.606991e-03  1.457953e-04  2.323406e-04
## IWM  4.790183e-05  7.272802e-05  1.457953e-04  2.812215e-03  1.214358e-04
## EFA  6.473775e-05  9.980530e-05  2.323406e-04  1.214358e-04  2.591651e-03
## TLT -1.989032e-05 -2.931274e-05 -5.587441e-05 -4.049033e-05 -5.182452e-05
## IYR  2.317199e-05  3.435869e-05  8.254244e-05  4.764586e-05  6.902708e-05
## GLD  1.391249e-06  4.556239e-06  1.883986e-05  6.983709e-06  7.984214e-06
##               TLT           IYR          GLD
## SPY -1.989032e-05  2.317199e-05 1.391249e-06
## QQQ -2.931274e-05  3.435869e-05 4.556239e-06
## EEM -5.587441e-05  8.254244e-05 1.883986e-05
## IWM -4.049033e-05  4.764586e-05 6.983709e-06
## EFA -5.182452e-05  6.902708e-05 7.984214e-06
## TLT  1.736515e-03 -7.231769e-06 2.964271e-06
## IYR -7.231769e-06  2.069498e-03 6.012488e-06
## GLD  2.964271e-06  6.012488e-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:
## Rows: 1162 Columns: 5
## ── Column specification
## ──────────────────────────────────────────────────────── Delimiter: "," dbl
## (5): ...1, 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.
## • `` -> `...1`

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
## # … with 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,] 0.001445375 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000
## [2,] 0.000000000 0.001840185 0.000000000 0.00000000 0.000000000 0.000000000
## [3,] 0.000000000 0.000000000 0.003377802 0.00000000 0.000000000 0.000000000
## [4,] 0.000000000 0.000000000 0.000000000 0.00273242 0.000000000 0.000000000
## [5,] 0.000000000 0.000000000 0.000000000 0.00000000 0.002432895 0.000000000
## [6,] 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000 0.001759089
## [7,] 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000
## [8,] 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000
##             [,7]        [,8]
## [1,] 0.000000000 0.000000000
## [2,] 0.000000000 0.000000000
## [3,] 0.000000000 0.000000000
## [4,] 0.000000000 0.000000000
## [5,] 0.000000000 0.000000000
## [6,] 0.000000000 0.000000000
## [7,] 0.002086672 0.000000000
## [8,] 0.000000000 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  1.495857e-03  7.323542e-05 5.957067e-05  7.864551e-05 5.620602e-05
## QQQ  7.323542e-05  1.946494e-03 8.820322e-05  1.137191e-04 8.326395e-05
## EEM  5.957067e-05  8.820322e-05 3.546164e-03  8.394320e-05 1.628983e-04
## IWM  7.864551e-05  1.137191e-04 8.394320e-05  2.857121e-03 7.903754e-05
## EFA  5.620602e-05  8.326395e-05 1.628983e-04  7.903754e-05 2.590606e-03
## TLT  2.665185e-05  3.862621e-05 6.193409e-05  4.261391e-05 6.025421e-05
## IYR  2.692647e-05  3.873515e-05 5.932901e-05  4.484085e-05 5.789905e-05
## GLD -2.376940e-05 -3.335730e-05 4.964181e-05 -4.218619e-05 5.031444e-05
##              TLT          IYR           GLD
## SPY 2.665185e-05 2.692647e-05 -2.376940e-05
## QQQ 3.862621e-05 3.873515e-05 -3.335730e-05
## EEM 6.193409e-05 5.932901e-05  4.964181e-05
## IWM 4.261391e-05 4.484085e-05 -4.218619e-05
## EFA 6.025421e-05 5.789905e-05  5.031444e-05
## TLT 1.793363e-03 3.778691e-05  1.679788e-05
## IYR 3.778691e-05 2.129766e-03  1.642040e-05
## GLD 1.679788e-05 1.642040e-05  3.104610e-03

Question 8: Compute global minimum variance portfolio weights based on question 6 and 7.

Global Minimum Variance portfolio weight for 1 factor model:

#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_1 <- inv(cov_sfm_1)%*%one_8_1 # 8x8 x 8x1 = 8x1
b_sfm_1 <- t(one_8_1)%*%inv(cov_sfm_1)%*%one_8_1 # 1x8 x 8x8 x 8x1 = 1x1

#Calculate the GMVP
mvp_sfm_1 <- a_sfm_1/as.vector(b_sfm_1)
#Sum of weight
sum(mvp_sfm_1)

## [1] 1

colnames(mvp_sfm_1)<- "Weight"
mvp_sfm_1

##         Weight
## SPY 0.19297402
## QQQ 0.14174520
## EEM 0.06423449
## IWM 0.09204601
## EFA 0.09480452
## TLT 0.18410985
## IYR 0.13239430
## GLD 0.09769161

Global Minimum Variance portfolio weight for 3 factors model:

#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_3 <- inv(cov_sfm_3)%*%one_8_1 # 8x8 x 8x1 = 8x1
b_sfm_3 <- t(one_8_1)%*%inv(cov_sfm_3)%*%one_8_1 # 1x8 x 8x8 x 8x1 = 1x1

#Calculate the GMVP
mvp_sfm_3 <- a_sfm_3/as.vector(b_sfm_3)
#Sum of weight
sum(mvp_sfm_3)

## [1] 1

colnames(mvp_sfm_3)<- "Weight"
mvp_sfm_3

##         Weight
## SPY 0.19325215
## QQQ 0.14112482
## EEM 0.07073241
## IWM 0.09395871
## EFA 0.09948119
## TLT 0.16185121
## IYR 0.13591061
## GLD 0.10368890

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.

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))