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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.

Suggested Citation

  • Sofiane ABOURA, 2005. "GARCH Option Pricing Under Skew," The IUP Journal of Applied Economics, IUP Publications, vol. 0(6), pages 78-86, November.
  • Handle: RePEc:icf:icfjae:v:04:y:2005:i:6:p:78-86
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    1. Barone-Adesi, Giovanni & Whaley, Robert E, 1987. " Efficient Analytic Approximation of American Option Values," Journal of Finance, American Finance Association, vol. 42(2), pages 301-320, June.
    2. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    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 637-654, May-June.
    4. Peter Carr & Robert Jarrow & Ravi Myneni, 2008. "Alternative Characterizations Of American Put Options," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 5, pages 85-103 World Scientific Publishing Co. Pte. Ltd..
    5. Miccichè, Salvatore & Bonanno, Giovanni & Lillo, Fabrizio & Mantegna, Rosario N, 2002. "Volatility in financial markets: stochastic models and empirical results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 756-761.
    6. Geske, Robert & Roll, Richard, 1984. " On Valuing American Call Options with the Black-Scholes European Formula," Journal of Finance, American Finance Association, vol. 39(2), pages 443-455, June.
    7. Peter Ritchken & Rob Trevor, 1999. "Pricing Options under Generalized GARCH and Stochastic Volatility Processes," Journal of Finance, American Finance Association, vol. 54(1), pages 377-402, February.
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