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Misspecified asset price models and robust hedging strategies

Author

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  • Hyungsok Ahn Adviti
  • Glen Swindle

Abstract

The Black-Scholes theory of option pricing requires a perfectly specified model for the underlying price. Frequently this is taken to be a geometric Brownian motion with a constant, known volatility. In practice, parameters such as the volatility are not known precisely, but are simply estimates from either historical prices or implied volatilities. This paper presents a method for constructing hedging (trading) strategies which are 'robust' to misspecifications of the asset price model.

Suggested Citation

  • Hyungsok Ahn Adviti & Glen Swindle, 1997. "Misspecified asset price models and robust hedging strategies," Applied Mathematical Finance, Taylor & Francis Journals, vol. 4(1), pages 21-36.
    • Handle: RePEc:taf:apmtfi:v:4:y:1997:i:1:p:21-36
    DOI: 10.1080/135048697334818
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    References listed on IDEAS

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    1. M. Avellaneda & A. Levy & A. ParAS, 1995. "Pricing and hedging derivative securities in markets with uncertain volatilities," Applied Mathematical Finance, Taylor & Francis Journals, vol. 2(2), pages 73-88.
    2. 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.
    3. Hull, John C & White, Alan D, 1987. "The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
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    Cited by:

    1. Pellizzari, P., 2005. "Static hedging of multivariate derivatives by simulation," European Journal of Operational Research, Elsevier, vol. 166(2), pages 507-519, October.

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