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A simple test for GARCH against a stochastic volatility

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  • Franses, Ph.H.B.F.
  • van der Leij, M.J.
  • Paap, R.

Abstract

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.

Suggested Citation

  • Franses, Ph.H.B.F. & van der Leij, M.J. & Paap, R., 2005. "A simple test for GARCH against a stochastic volatility," Econometric Institute Research Papers EI 2005-41, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:7028
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    References listed on IDEAS

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