The GARCH model and the Stochastic Volatility [SV] model are competing but non-nested models to describe unobserved volatility in asset returns. We propose a GARCH model with an additional error term, which can capture SV model properties, and which can be used to test GARCH against SV. We discuss model representation, parameter estimation and a simple test for model selection. Furthermore, we derive the theoretical moments and the autocorrelation function of our new model. We illustrate its merits for 9 daily stock return series.

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Econometric Institute Research Papers
Report / Econometric Institute, Erasmus University Rotterdam
Erasmus School of Economics

Franses, Ph.H.B.F, van der Leij, M.J, & Paap, R. (2005). A simple test for GARCH against a stochastic volatility (No. EI 2005-41). Report / Econometric Institute, Erasmus University Rotterdam. Retrieved from