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Are my VaR forecasts correct (using rugarch)?

Thanks a lot for your answer!

One question for me remains:
I use a simple model fit like this (so no rolling estimation):

spgarchmodel<-ugarchfit(spec=
spmodel,data=sp500ret)


now I can get the sigma values with

sigma(spgarchmodel)

I know how to calculate them recursively, but what about
sigma(spgarchmodel)[1] ?
How is this value calculated?

I tried the following:
The initial sigma_0 is set to the unconditional variance. So in case
of a GARCH(1,1) this would be:
omega/(1-alpha1-beta1)

This is inserted into the GARCH(1,1) formula, the "residual value"
epsilon_0 is set to the return of the first date, so:
sqrt(omega+alpha1*return_ofthefirstdate^2 + beta1*unconditional_variance)

But this gives a sligthly different value?

Thanks a lot for your answer!


2013/6/5 alexios ghalanos <alexios at 4dscape.com>: