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Increasing The Accuracy Of Option Pricing By Using Implied Parameters Related To Higher Moments

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  • Ji, Dasheng
  • Brorsen, B. Wade

Abstract

The inaccuracy of the Black-Scholes formula arises from two aspects: the formula is for European options while most real option contracts are American; the formula is based on the assumption that underlying asset prices follow a lognormal distribution while in the real world asset prices cannot be described well by a lognormal distribution. We develop an American option pricing model that allows non-normality. The theoretical basis of the model is Gaussian quadrature and dynamic programming. The usual binomial and trinomial models are special cases. We use the Jarrow-Rudd formula and the relaxed binomial and trinomial tree models to imply the parameters related to the higher moments. The results demonstrate that using implied parameters related to the higher moments is more accurate than the restricted binomial and trinomial models that are commonly used.

Suggested Citation

  • Ji, Dasheng & Brorsen, B. Wade, 2000. "Increasing The Accuracy Of Option Pricing By Using Implied Parameters Related To Higher Moments," 2000 Conference, April 17-18 2000, Chicago, Illinois 18945, NCR-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management.
    • Handle: RePEc:ags:ncrtci:18945
    DOI: 10.22004/ag.econ.18945
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    4. Robert JARROW & Andrew RUDD, 2008. "Approximate Option Valuation For Arbitrary Stochastic Processes," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 1, pages 9-31, World Scientific Publishing Co. Pte. Ltd..
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    Marketing; Risk and Uncertainty;

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