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How can I create GBM/GARCH(1,1) model?

Joined
9/20/16
Messages
6
Points
11
Basically, I now how to create the equation of gbm(in Matlab for example). But what if I want to perform Monte-Carlo simulation using GBM with stochastic volatility represented by GARCH(1,1). How GBM/GARCH(1,1) SDE looks and what are peculiarities of GBM/GARCH(1,1) modelling ?
 
I didn't find any article describing plugging GARCH into GBM. There are lots of them describing just GARCH Monte-Carlo, but no GBM/GARCH(1,1).
 
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