trivariate DCC with VAR(1) MEAN EQUATIONS

Discussions of ARCH, GARCH, and related models
xyzh
Posts: 14
Joined: Wed Jun 03, 2009 7:52 am

Re: trivariate DCC with VAR(1) MEAN EQUATIONS

Unread post by xyzh »

Here's an example paper:
http://ideas.repec.org/a/eee/quaeco/v47 ... l#download

Hope u will understand what i said.

Thanks.

Zhang
xyzh
Posts: 14
Joined: Wed Jun 03, 2009 7:52 am

Re: trivariate DCC with VAR(1) MEAN EQUATIONS

Unread post by xyzh »

moderator wrote:Including asymmetry terms is covered in the manuals. See "GARCH" in the Reference Manual and Chapter 12 in the User's Guide.
the manual demonsrates the GJR ,right?
My question is about estimating a ADCC model, am I right?
Tks.

Zhang
xyzh
Posts: 14
Joined: Wed Jun 03, 2009 7:52 am

Re: trivariate DCC with VAR(1) MEAN EQUATIONS

Unread post by xyzh »

I have a new problem now with the MVGARCH-DCC. After adding "variance=varma" option i got the results like this:
  • Variable Coeff Std Error T-Stat Signif
    *******************************************************************************
    1. Mean(1) 0.000145192 0.000298354 0.48664 0.62651077
    2. Mean(2) 0.000452759 0.000251361 1.80123 0.07166673
    3. Mean(3) 0.000307494 0.000043419 7.08208 0.00000000
    4. C(1) -0.000000217 0.000000529 -0.41026 0.68161615
    5. C(2) 0.000000710 0.000000564 1.25993 0.20769582
    6. C(3) 0.000000155 0.000000045 3.42794 0.00060818
    7. A(1,1) 0.057933592 0.016794974 3.44946 0.00056171
    8. A(1,2) -0.065924827 0.025252117 -2.61067 0.00903663
    9. A(1,3) 0.048611966 0.132020640 0.36821 0.71271301
    10. A(2,1) -0.031016545 0.016435385 -1.88718 0.05913600
    11. A(2,2) 0.102465005 0.025064940 4.08798 0.00004351
    12. A(2,3) -0.096694866 0.135042222 -0.71603 0.47397015
    13. A(3,1) 0.005105719 0.005538758 0.92182 0.35662423
    14. A(3,2) 0.009217814 0.006968065 1.32287 0.18588005
    15. A(3,3) 0.098969648 0.028962153 3.41721 0.00063267
    16. B(1,1) 0.904499342 0.023065961 39.21360 0.00000000
    17. B(1,2) 0.196648202 0.052423936 3.75111 0.00017605
    18. B(1,3) -2.498101504 0.993974355 -2.51325 0.01196261
    19. B(2,1) 0.063046957 0.030820503 2.04562 0.04079403
    20. B(2,2) 0.872904440 0.031369087 27.82690 0.00000000
    21. B(2,3) -0.260539758 0.444913701 -0.58560 0.55814692
    22. B(3,1) -0.091754291 0.037002318 -2.47969 0.01314965
    23. B(3,2) 0.020923602 0.030008992 0.69724 0.48564984
    24. B(3,3) 0.851193338 0.033443870 25.45140 0.00000000
    25. DCC(1) 0.009226038 0.003358069 2.74742 0.00600656
    26. DCC(2) 0.988152157 0.006115655 161.57750 0.00000000
    27. Shape 8.273972673 1.325200506 6.24356 0.00000000
Im confused what the non-diagonal elements mean?
TomDoan
Posts: 7814
Joined: Wed Nov 01, 2006 4:36 pm

Re: trivariate DCC with VAR(1) MEAN EQUATIONS

Unread post by TomDoan »

That's explained in the manual. VARIANCES=VARMA is an extension of the CC/DCC type model allowing each variance to depend upon the other variances and the other lagged squared residuals. Those terms give those off-diagonal coefficients.
gembala119
Posts: 1
Joined: Thu Feb 05, 2009 11:16 pm

Re: trivariate DCC with VAR(1) MEAN EQUATIONS

Unread post by gembala119 »

Dear Sir
After we do trivariate or bivariate garch model, how we make graphs of variance and covariance of bivariate or trivariate

thank you very much
kim
xyzh
Posts: 14
Joined: Wed Jun 03, 2009 7:52 am

Re: trivariate DCC with VAR(1) MEAN EQUATIONS

Unread post by xyzh »

gembala119 wrote:Dear Sir
After we do trivariate or bivariate garch model, how we make graphs of variance and covariance of bivariate or trivariate
kim
you can graph the variance and covariance with RATs by using the command "graph" plus some options or you can print the results and graph it with Excel.
TomDoan
Posts: 7814
Joined: Wed Nov 01, 2006 4:36 pm

Re: trivariate DCC with VAR(1) MEAN EQUATIONS

Unread post by TomDoan »

gembala119 wrote:Dear Sir
After we do trivariate or bivariate garch model, how we make graphs of variance and covariance of bivariate or trivariate

thank you very much
kim
This is from GARCHMV.PRG which graphs the correlations from a multivariate GARCH, with grid lines at the CC estimates.

Code: Select all

*
* GARCHMV.PRG
* Manual Example 12.2
*
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})
*
garch(p=1,q=1,iters=200,hmatrices=hh) / xjpn xfra xsui
garch(p=1,q=1,mv=bek,method=bfgs,iters=200,pmethod=simplex,piters=10) / xjpn xfra xsui
garch(p=1,q=1,mv=diag,hmatrices=hd,rvectors=rd) / xjpn xfra xsui
garch(p=1,q=1,mv=cc) / xjpn xfra xsui
garch(p=1,q=1,mv=dcc,method=bfgs) / xjpn xfra xsui
*
* Compute the covariance matrix of the standardized residuals from
* the diagonal GARCH
*
set z1 = rd(t)(1)/sqrt(hd(t)(1,1))
set z2 = rd(t)(2)/sqrt(hd(t)(2,2))
set z3 = rd(t)(3)/sqrt(hd(t)(3,3))
vcv(matrix=cc)
# z1 z2 z3
*
* Compute the correlations from the multivariate GARCH
*
set rho12 = hh(t)(1,2)/sqrt(hh(t)(1,1)*hh(t)(2,2))
set rho13 = hh(t)(1,3)/sqrt(hh(t)(1,1)*hh(t)(3,3))
set rho23 = hh(t)(2,3)/sqrt(hh(t)(2,2)*hh(t)(3,3))
graph(header="Correlation of JPN with FRA",vgrid=||cc(1,2)||)
# rho12
graph(header="Correlation of JPN with SUI",vgrid=||cc(1,3)||)
# rho13
graph(header="Correlation of FRA with SUI",vgrid=||cc(2,3)||)
# rho23
You also might want to look at tsayp452.prg from the Tsay textbook examples.
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