Switching Asymmetric GARCH and Options on a Volatility Index

Journal of Futures Markets, Vol. 24, pp. 251-282, March 2004

Posted: 8 Feb 2004

See all articles by Hazem Daouk

Hazem Daouk

Cornell University - School of Applied Economics and Management

Jie Qun Guo

Interactive Data Pricing and Reference Data, Inc.

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Abstract

Few proposed types of derivative securities have attracted as much attention as option contracts on volatility. Grunbichler and Longstaff (1996) proposes a model to value options written on a volatility index. Their model does not take into account the switching regime and asymmetry properties of volatility. We show that the Grunbichler and Longstaff (1996) model underprice a 3-month option by about 10%. A Switching Regime Asymmetric GARCH is used to model the generating process of security returns. The comparison between the switching regime model and the traditional uni-regime GARCH used by Grunbichler and Longstaff (1996) demonstrates that the switching regime EGARCH model fits the data best. When comparing the values of the option based on the Switching Regime Asymmetric GARCH model and the traditional GARCH specification, it is found that the option values obtained from the different processes are very different. This clearly shows that the Grunbichler-Longstaff model is too stylized to be used in pricing derivatives on a volatility index.

Keywords: Option pricing, volatility index, switching regime, GARCH

JEL Classification: G13, C22

Suggested Citation

Daouk, Hazem and Guo, Jie Qun, Switching Asymmetric GARCH and Options on a Volatility Index. Journal of Futures Markets, Vol. 24, pp. 251-282, March 2004, Available at SSRN: https://ssrn.com/abstract=496742

Hazem Daouk (Contact Author)

Cornell University - School of Applied Economics and Management ( email )

446 Warren Hall
Ithaca, NY 14853
United States
331-45-78-63-88 (Fax)

HOME PAGE: http://courses.cit.cornell.edu/hd35/

Jie Qun Guo

Interactive Data Pricing and Reference Data, Inc. ( email )

New York, NY 10007
United States

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