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On Justifications for the ad hoc Black-Scholes Method of Option Pricing

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  • Berkowitz Jeremy

    () (University of Houston)

Abstract

One of the most widely used option valuation procedures among practitioners is a version of Black-Scholes in which implied volatilities are smoothed across strike prices and maturities. A growing body of empirical evidence suggests that this ad hoc approach performs quite well. It has previously been argued that such a procedure works because it amounts to a sophisticated interpolation tool. We show that this is the case in a formal, asymptotic sense. In addition, we conduct some simulations which allow us to examine the importance of the sample size, the order of the polynomial, and the recalibration frequency in controlled settings. We also apply the ABS approach to daily S&P 100 index options to show that the procedure outperforms the Black-Scholes formula in valuing actual option prices out-of-sample.

Suggested Citation

  • Berkowitz Jeremy, 2009. "On Justifications for the ad hoc Black-Scholes Method of Option Pricing," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(1), pages 1-27, December.
  • Handle: RePEc:bpj:sndecm:v:14:y:2009:i:1:n:4
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    References listed on IDEAS

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    1. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
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    Cited by:

    1. Neeraj J. Gupta & Mark Kurt & Reilly White, 2016. "The Buffett critique: volatility and long-dated options," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 40(3), pages 524-537, July.

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