irf for var with mgarch in mean

Discussions of ARCH, GARCH, and related models
luxu1983
Posts: 61
Joined: Wed Aug 12, 2009 10:53 pm

irf for var with mgarch in mean

Unread post by luxu1983 »

dear all
may you code the impulse-response function for a vector autoregression with multivariate GARCH-in-mean (John Elder 1995)?
Thank you :D
TomDoan
Posts: 7814
Joined: Wed Nov 01, 2006 4:36 pm

Re: irf for var with mgarch in mean

Unread post by TomDoan »

Again, that is not a well-defined "function". The effect of a time t shock depends upon the GARCH covariance matrix at t, producing a different "M" term for each subsequent entry.
kayak
Posts: 1
Joined: Mon Nov 14, 2011 7:01 pm

Re: irf for var with mgarch in mean

Unread post by kayak »

Elder uses the unconditional variance for the size of the shock. There for the IRF as he defines should not be dependent on the point in time. The simulation then depends only the coefficient estimates.
TomDoan
Posts: 7814
Joined: Wed Nov 01, 2006 4:36 pm

Re: irf for var with mgarch in mean

Unread post by TomDoan »

The calculation of IRF's for a VAR-GARCH-M are covered in Elder-Serletis(2010).
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