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Nonparametric Estimates of Option Prices Using Superhedging

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  • Gianluca Cassese

Abstract

We propose a new nonparametric technique to estimate the CALL function based on the superhedging principle. Our approach does not require absence of arbitrage and easily accommodates bid/ask spreads and other market imperfections. We prove some optimal statistical properties of our estimates. As an application we first test the methodology on a simulated sample of option prices and then on the S&P 500 index options.

Suggested Citation

  • Gianluca Cassese, 2015. "Nonparametric Estimates of Option Prices Using Superhedging," Working Papers 293, University of Milano-Bicocca, Department of Economics, revised Feb 2015.
    • Handle: RePEc:mib:wpaper:293
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    References listed on IDEAS

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    7. Ait-Sahalia, Yacine & Duarte, Jefferson, 2003. "Nonparametric option pricing under shape restrictions," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 9-47.
    8. Rompolis, Leonidas S. & Tzavalis, Elias, 2008. "Recovering Risk Neutral Densities from Option Prices: A New Approach," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 43(4), pages 1037-1053, December.
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    1. Gianluca Cassese, 2017. "Asset pricing in an imperfect world," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(3), pages 539-570, October.

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    More about this item

    Keywords

    Bid/Ask spreads; Implied risk-neutral measure; Nonparametric regression;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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