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Stochastic volatility and the mean reverting process

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  • Sotirios Sabanis

Abstract

This article employs an approach that is an extension of the Hull and White ( 1987 ) model, for pricing European options under the assumption of a mean reverting volatility for the underlying asset. The approach uses a Taylor series expansion method to approximate the price of a European call option in a market with no arbitrage opportunities. The transition to a riskneutral economy is accomplished by introducing an equivalent martingale measure based on the findings of Romano and Touzi ( 1997 ). Numerical results are obtained and compared with similar studies (Lewis, 2000 ). © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:33–47, 2003

Suggested Citation

  • Sotirios Sabanis, 2003. "Stochastic volatility and the mean reverting process," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 23(1), pages 33-47, January.
  • Handle: RePEc:wly:jfutmk:v:23:y:2003:i:1:p:33-47
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    Cited by:

    1. Alibeiki, Hedayat & Lotfaliei, Babak, 2022. "To expand and to abandon: Real options under asset variance risk premium," European Journal of Operational Research, Elsevier, vol. 300(2), pages 771-787.
    2. Sotirios Sabanis & Ying Zhang, 2020. "A fully data-driven approach to minimizing CVaR for portfolio of assets via SGLD with discontinuous updating," Papers 2007.01672, arXiv.org.
    3. Lotfaliei, Babak, 2018. "The variance risk premium and capital structure," ESRB Working Paper Series 70, European Systemic Risk Board.

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