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GARCH Option Pricing Under Skew

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  • Sofiane ABOURA

Abstract

This article is an empirical study dedicated to the GARCH Option pricing model of Duan (1995) applied to the FTSE 100 European style options for various maturities. We analyze the validity of the model given its ability to price one-day ahead out-of-sample call options and also its ability to capture the empirical dynamic of the volatility skew. First, we get a severe mispricing for deep out-of-the-money and short-term call options. Second, this model reveals a good ability to capture the change of regime in the implied volatility surface.

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Bibliographic Info

Article provided by IUP Publications in its journal The IUP Journal of Applied Economics.

Volume (Year): IV (2005)
Issue (Month): 6 (November)
Pages: 78-86

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Handle: RePEc:icf:icfjae:v:04:y:2005:i:6:p:78-86

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  1. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
  2. Christensen, B. J. & Prabhala, N. R., 1998. "The relation between implied and realized volatility," Journal of Financial Economics, Elsevier, vol. 50(2), pages 125-150, November.
  3. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
  4. Blair, Bevan J. & Poon, Ser-Huang & Taylor, Stephen J., 2001. "Forecasting S&P 100 volatility: the incremental information content of implied volatilities and high-frequency index returns," Journal of Econometrics, Elsevier, vol. 105(1), pages 5-26, November.
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