Bi-variate BEKK, contagion effect dummy

Discussions of ARCH, GARCH, and related models
jongrim
Posts: 1
Joined: Fri Nov 09, 2012 11:09 pm

Bi-variate BEKK, contagion effect dummy

Unread post by jongrim »

Dear Tom,

I am estimating a bivariate BEKK-model which includes a dummy variable in the VCV of coefficients to check any shift contagion between two markets. More specifically, I would like to change a21 => (a21+a21d*D) and b21=>(b21+b21d*D), for example. Is there any way to put those addational restrictions into Rats program? Any comment will be appreciated!

Respectfully,
Jongrim
TomDoan
Posts: 7814
Joined: Wed Nov 01, 2006 4:36 pm

Re: Bi-variate BEKK, contagion effect dummy

Unread post by TomDoan »

Dummies or other XREGRESSORS only enter into the variance intercept in GARCH(MV=BEKK). If you want the GARCH coefficients to shift, you'll need to estimate that using MAXIMIZE.
e1983
Posts: 20
Joined: Sun Aug 28, 2011 2:32 am

Re: Bi-variate BEKK, contagion effect dummy

Unread post by e1983 »

Hi. I was including an independent variable (not a dummy variable) in the variance equations of a BEKK model; Tom, do I understand properly that the coefficients on the independent variable is essentially only shifting the constant terms in each equation?

Thanks
TomDoan
Posts: 7814
Joined: Wed Nov 01, 2006 4:36 pm

Re: Bi-variate BEKK, contagion effect dummy

Unread post by TomDoan »

Yes. It makes the "constant" in the BEKK (C+Dx(t))'(C+Dx(t)) where both C and D are lower triangular.
e1983
Posts: 20
Joined: Sun Aug 28, 2011 2:32 am

Re: Bi-variate BEKK, contagion effect dummy

Unread post by e1983 »

thanks.
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