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A Pricing and Hedging Comparison of Parametric and Nonparametric Approaches for American Index Options

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  • Toby Daglish

Abstract

This article investigates the extent to which options on the Australian Stock Price Index can be explained by parametric and nonparametric option pricing techniques. In particular, comparisons are made of out-of-sample option pricing performance and hedging performance. The dataset differs from many of those used previously in the empirical options pricing literature in that it consists of American options. In addition, a broader spectrum of techniques are considered: a spline-based nonparametric technique is considered in addition to the standard kernel techniques, while the performance of a Heston stochastic volatility model is also considered. Although some evidence is found of superior performance by nonparametric techniques for in-sample pricing, the parametric methods exhibit a markedly better ability to explain future prices and show superior hedging performance. , .

Suggested Citation

  • Toby Daglish, 2003. "A Pricing and Hedging Comparison of Parametric and Nonparametric Approaches for American Index Options," Journal of Financial Econometrics, Oxford University Press, vol. 1(3), pages 327-364.
  • Handle: RePEc:oup:jfinec:v:1:y:2003:i:3:p:327-364
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    Cited by:

    1. Gagliardini, Patrick & Ronchetti, Diego, 2013. "Semi-parametric estimation of American option prices," Journal of Econometrics, Elsevier, vol. 173(1), pages 57-82.
    2. Yatchew, Adonis & Hardle, Wolfgang, 2006. "Nonparametric state price density estimation using constrained least squares and the bootstrap," Journal of Econometrics, Elsevier, vol. 133(2), pages 579-599, August.
    3. Yuji Yamada, 2012. "Properties of Optimal Smooth Functions in Additive Models for Hedging Multivariate Derivatives," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 19(2), pages 149-179, May.
    4. René Garcia & Eric Ghysels & Eric Renault, 2004. "The Econometrics of Option Pricing," CIRANO Working Papers 2004s-04, CIRANO.
    5. Weiping Li & Su Chen, 2018. "The Early Exercise Premium In American Options By Using Nonparametric Regressions," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(07), pages 1-29, November.

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