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Option pricing for the transformed‐binomial class

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  • António Câmara
  • San‐Lin Chung

Abstract

This article generalizes the seminal Cox‐Ross‐Rubinstein (1979) binomial option pricing model to all members of the class of transformed‐binomial pricing processes. The investigation addresses issues related with asset pricing modeling, hedging strategies, and option pricing. Formulas are derived for (a) replicating or hedging portfolios, (b) risk‐neutral transformed‐binomial probabilities, (c) limiting transformed‐normal distributions, and (d) the value of contingent claims, including limiting analytical option pricing equations. The properties of the transformed‐binomial class of asset pricing processes are also studied. The results of the article are illustrated with several examples. © 2006 Wiley Periodicals, Inc. Jrl. Fut Mark 26:759–787, 2006

Suggested Citation

  • António Câmara & San‐Lin Chung, 2006. "Option pricing for the transformed‐binomial class," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(8), pages 759-788, August.
    • Handle: RePEc:wly:jfutmk:v:26:y:2006:i:8:p:759-788
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    Cited by:

    1. Chang, Chuang-Chang & Tsay, Min-Hung & Lin, Jun-Biao, 2018. "A generalized Brennan–Rubinstein approach for valuing options with stochastic interest rates," The Quarterly Review of Economics and Finance, Elsevier, vol. 67(C), pages 92-99.
    2. Milanesi, Gastón, 2021. "Modelo de valoración con opciones reales, rejillas trinomial, volatilidad cambiante, sesgo y función isoelástica de utilidad || Valuation model with real options, trinomial lattice, changing volatilit," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 32(1), pages 257-273, December.

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