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open data g10xrate.xls
data(format=xls,org=columns) 1 6237 usxjpn usxfra usxsui
*
set xjpn = 100.0*log(usxjpn/usxjpn{1})
set xfra = 100.0*log(usxfra/usxfra{1})
set xsui = 100.0*log(usxsui/usxsui{1})
system(model=var1)
variables xjpn xfra
lags 1
det constant
end(system)
garch(p=1,q=1,model=var1,mv=cc,variances=varma,pmethod=simplex,piters=10,hmatrices=hh,rvectors=rr)
set stdxjpn = rr(t)(1)/sqrt(hh(t)(1,1))
set stdxfra = rr(t)(2)/sqrt(hh(t)(2,2))
@mvqstat(lags=12)
# stdxjpn
@mvqstat(lags=12)
# stdxfra
@mvqstat(lags=12)
# stdxjpn stdxfra
*****
set stdxjpnsq = stdxjpn**2
set stdxfrasq = stdxfra**2
@mvqstat(lags=12)
# stdxjpnsq
@mvqstat(lags=12)
# stdxfrasq
@mvqstat(lags=12)
# stdxjpnsq stdxfrasq
MV-GARCH, CC with VARMA Variances - Estimation by BFGS
Convergence in 49 Iterations. Final criterion was 0.0000090 <= 0.0000100
Usable Observations 6235
Log Likelihood -9827.7680
Variable Coeff Std Error T-Stat Signif
************************************************************************************
1. XJPN{1} 0.060308396 0.015420806 3.91085 0.00009197
2. XFRA{1} -0.009395780 0.012048172 -0.77985 0.43547854
3. Constant 0.005012014 0.005979478 0.83820 0.40191689
4. XJPN{1} 0.029598971 0.011949975 2.47691 0.01325266
5. XFRA{1} 0.012787660 0.016278119 0.78557 0.43211735
6. Constant 0.000415551 0.006440767 0.06452 0.94855712
7. C(1) 0.008083047 0.001934824 4.17766 0.00002945
8. C(2) 0.010007940 0.001862310 5.37394 0.00000008
9. A(1,1) 0.162280512 0.012423597 13.06228 0.00000000
10. A(1,2) -0.051378510 0.008937164 -5.74886 0.00000001
11. A(2,1) -0.072296484 0.008588677 -8.41765 0.00000000
12. A(2,2) 0.159728534 0.012205006 13.08713 0.00000000
13. B(1,1) 0.785169448 0.018024268 43.56179 0.00000000
14. B(1,2) 0.132182394 0.023606121 5.59950 0.00000002
15. B(2,1) 0.077342080 0.020698414 3.73662 0.00018651
16. B(2,2) 0.826789027 0.015027194 55.01952 0.00000000
17. R(2,1) 0.571758103 0.008571492 66.70462 0.00000000
Multivariate Q(12)= 37.62994
Significance Level as Chi-Squared(12)= 1.76477e-004
Multivariate Q(12)= 42.19065
Significance Level as Chi-Squared(12)= 3.09325e-005
Multivariate Q(12)= 93.50358
Significance Level as Chi-Squared(48)= 9.28427e-005
Multivariate Q(12)= 30.20055
Significance Level as Chi-Squared(12)= 0.00260
Multivariate Q(12)= 1.87435
Significance Level as Chi-Squared(12)= 0.99958
Multivariate Q(12)= 112.42213
Significance Level as Chi-Squared(48)= 4.38121e-007
*****
RATS 8 Users Guide.pdf
Chapter 9: ARCH and GARCH
page ug-302 Univariate Diagnostics
ug-303 Multivariate Diagnostics
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