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A Stochastic Dynamic Program for Valuing Options on Futures

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  • Mohamed A. Ayadi
  • Hatem Ben‐Ameur
  • Tymur Kirillov
  • Robert Welch

Abstract

We propose a stochastic dynamic program (SDP) for valuing options on stock‐index futures. SDP accommodates European‐ as well as American‐style options, and price limits on the underlying futures contracts. Our numerical investigation shows convergence, robustness, and efficiency. SDP presents some advantages and disadvantages with respect to the binomial tree and finite differences, and stands as a viable alternative to these classic numerical methodologies for option valuation. Our empirical investigation, which focuses on American options on the S&P 500 futures contract, is almost perfect for implicit volatilities, but somewhat mitigated for historical volatilities. In volatile markets, we recommend short time windows for the volatility estimation step. © 2013 Wiley Periodicals, Inc. Jrl Fut Mark 34:1185–1201, 2014

Suggested Citation

  • Mohamed A. Ayadi & Hatem Ben‐Ameur & Tymur Kirillov & Robert Welch, 2014. "A Stochastic Dynamic Program for Valuing Options on Futures," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 34(12), pages 1185-1201, December.
    • Handle: RePEc:wly:jfutmk:v:34:y:2014:i:12:p:1185-1201
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    Cited by:

    1. Tarik Driouchi & Lenos Trigeorgis & Raymond H. Y. So, 2018. "Option implied ambiguity and its information content: Evidence from the subprime crisis," Annals of Operations Research, Springer, vol. 262(2), pages 463-491, March.

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