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Testing Option Pricing Models

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  • David S. Bates

Abstract

This paper discusses the commonly used methods for testing option pricing models, including the Black-Scholes, constant elasticity of variance, stochastic volatility, and jump-diffusion models. Since options are derivative assets, the central empirical issue is whether the distributions implicit in option prices are consistent with the time series properties of the underlying asset prices. Three relevant aspects of consistency are discussed, corresponding to whether time series-based inferences and option prices agree with respect to volatility, changes in volatility, and higher moments. The paper surveys the extensive empirical literature on stock options, options on stock indexes and stock index futures, and options on currencies and currency futures.

Suggested Citation

  • David S. Bates, 1995. "Testing Option Pricing Models," NBER Working Papers 5129, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:5129
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    Cited by:

    1. Ghysels, E. & Harvey, A. & Renault, E., 1995. "Stochastic Volatility," Papers 95.400, Toulouse - GREMAQ.
    2. Hwang, Soosung & Satchell, Stephen E., 2000. "Market risk and the concept of fundamental volatility: Measuring volatility across asset and derivative markets and testing for the impact of derivatives markets on financial markets," Journal of Banking & Finance, Elsevier, vol. 24(5), pages 759-785, May.
    3. Kyriakos Chourdakis, 2002. "Continuous Time Regime Switching Models and Applications in Estimating Processes with Stochastic Volatility and Jumps," Working Papers 464, Queen Mary University of London, School of Economics and Finance.
    4. repec:kap:revdev:v:20:y:2017:i:2:d:10.1007_s11147-016-9127-x is not listed on IDEAS
    5. Bakshi, Gurdip S. & Zhiwu, Chen, 1997. "An alternative valuation model for contingent claims," Journal of Financial Economics, Elsevier, vol. 44(1), pages 123-165, April.
    6. Font, Begoña, 1998. "Modelización de series temporales financieras. Una recopilación," DES - Documentos de Trabajo. Estadística y Econometría. DS 3664, Universidad Carlos III de Madrid. Departamento de Estadística.
    7. Kozarski, R., 2013. "Pricing and hedging in the VIX derivative market," Other publications TiSEM 221fefe0-241e-4914-b6bd-c, Tilburg University, School of Economics and Management.
    8. Alessandro Beber & Luca Erzegovesi, 1999. "Distribuzioni di probabilità implicite nei prezzi delle opzioni," Alea Tech Reports 008, Department of Computer and Management Sciences, University of Trento, Italy, revised 14 Jun 2008.
    9. Malz, Allan M., 1996. "Using option prices to estimate realignment probabilities in the European Monetary System: the case of sterling-mark," Journal of International Money and Finance, Elsevier, vol. 15(5), pages 717-748, October.
    10. Cem Aysoy & Ercan Balaban, 1996. "The Term Structure of Volatility in the Turkish Foreign Exchange : Implications for Option Pricing and Hedging Decisions," Discussion Papers 9613, Research and Monetary Policy Department, Central Bank of the Republic of Turkey.
    11. Kyriakos Chourdakis, 2000. "Stochastic Volatility and Jumps Driven by Continuous Time Markov Chains," Working Papers 430, Queen Mary University of London, School of Economics and Finance.
    12. Jacquier, Eric & Jarrow, Robert, 2000. "Bayesian analysis of contingent claim model error," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 145-180.
    13. Duan, Jin-Chuan & Zhang, Hua, 2001. "Pricing Hang Seng Index options around the Asian financial crisis - A GARCH approach," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 1989-2014, November.
    14. Gurdip S. Bakshi & Zhiwu Chen, "undated". "An Alternative Model for Contingent Claims," Research in Financial Economics 9504, Ohio State University.
    15. Emilio Barucci & Paul Malliavin & Maria Elvira Mancino & Roberto Renò & Anton Thalmaier, 2003. "The Price-Volatility Feedback Rate: An Implementable Mathematical Indicator of Market Stability," Mathematical Finance, Wiley Blackwell, vol. 13(1), pages 17-35.

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    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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