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Mispricing of S&P 500 Index Options

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  • George M. Constantinides
  • Jens Carsten Jackwerth
  • Stylianos Perrakis

Abstract

Widespread violations of stochastic dominance by 1-month S&P 500 index call options over 1986--2006 imply that a trader can improve expected utility by engaging in a zero-net-cost trade net of transaction costs and bid-ask spread. Although precrash option prices conform to the Black-Scholes-Merton model reasonably well, they are incorrectly priced if the distribution of the index return is estimated from time-series data. Substantial violations by postcrash OTM calls contradict the notion that the problem lies primarily with the left-hand tail of the index return distribution and that the smile is too steep. The decrease in violations over the postcrash period of 1988--1995 is followed by a substantial increase over 1997--2006, which may be due to the lower quality of the data but, in any case, does not provide evidence that the options market is becoming more rational over time. The Author 2008. Published by Oxford University Press on behalf of the Society for Financial Studies. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org., Oxford University Press.

Suggested Citation

  • George M. Constantinides & Jens Carsten Jackwerth & Stylianos Perrakis, 2009. "Mispricing of S&P 500 Index Options," Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1247-1277, March.
  • Handle: RePEc:oup:rfinst:v:22:y:2009:i:3:p:1247-1277
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    Cited by:

    1. Jensen, Mads Vestergaard & Pedersen, Lasse Heje, 2016. "Early option exercise: Never say never," Journal of Financial Economics, Elsevier, vol. 121(2), pages 278-299.
    2. Alexander David & Pietro Veronesi, 2014. "Investors' and Central Bank's Uncertainty Embedded in Index Options," Review of Financial Studies, Society for Financial Studies, vol. 27(6), pages 1661-1716.
    3. Pierre Azoulay & Joshua S. Graff Zivin & Bhaven N. Sampat, 2011. "The Diffusion of Scientific Knowledge across Time and Space: Evidence from Professional Transitions for the Superstars of Medicine," NBER Chapters,in: The Rate and Direction of Inventive Activity Revisited, pages 107-155 National Bureau of Economic Research, Inc.
    4. Brendan K. Beare & Lawrence D. W. Schmidt, 2016. "An Empirical Test of Pricing Kernel Monotonicity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(2), pages 338-356, March.
    5. Nicolae Garleanu & Lasse Heje Pedersen & Allen M. Poteshman, 2009. "Demand-Based Option Pricing," Review of Financial Studies, Society for Financial Studies, vol. 22(10), pages 4259-4299, October.
    6. Jules van Binsbergen & Michael Brandt & Ralph Koijen, 2012. "On the Timing and Pricing of Dividends," American Economic Review, American Economic Association, vol. 102(4), pages 1596-1618, June.
    7. George M. Constantinides & Michal Czerwonko & Jens Carsten Jackwerth & Stylianos Perrakis, 2011. "Are Options on Index Futures Profitable for Risk‐Averse Investors? Empirical Evidence," Journal of Finance, American Finance Association, vol. 66(4), pages 1407-1437, August.
    8. Chatrath, Arjun & Christie-David, Rohan A. & Miao, Hong & Ramchander, Sanjay, 2015. "Short-term options: Clienteles, market segmentation, and event trading," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 237-250.
    9. Leippold, Markus & Su, Lujing, 2015. "Collateral smile," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 15-28.
    10. Alfredo Ibáñez, 2008. "The cross-section of average delta-hedge option returns under stochastic volatility," Review of Derivatives Research, Springer, vol. 11(3), pages 205-244, October.
    11. Peters, R. & van der Weide, R., 2012. "Volatility: Expectations and Realizations," CeNDEF Working Papers 12-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    12. Perrakis, Stylianos & Boloorforoosh, Ali, 2013. "Valuing catastrophe derivatives under limited diversification: A stochastic dominance approach," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 3157-3168.
    13. Ji Cao & Marc Rieger, 2013. "Risk classes for structured products: mathematical aspects and their implications on behavioral investors," Annals of Finance, Springer, vol. 9(2), pages 167-183, May.
    14. Alexander David & Pietro Veronesi, 2011. "Investors' and Central Bank's Uncertainty Embedded in Index Options," NBER Working Papers 16764, National Bureau of Economic Research, Inc.
    15. Urcola, Hernan A. & Irwin, Scott H., 2011. "Are Agricultural Options Overpriced?," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 36(1), April.
    16. Constantinides, George M. & Jackwerth, Jens Carsten & Perrakis, Stylianos, 2007. "Option Pricing: Real and Risk-Neutral Distributions," MPRA Paper 11637, University Library of Munich, Germany.
    17. Yuri Golubev & Wolfgang Härdle & Roman Timofeev, 2014. "Testing monotonicity of pricing kernels," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 98(4), pages 305-326, October.
    18. Chen, Wei-Peng & Chung, Huimin & Lien, Donald, 2016. "Price discovery in the S&P 500 index derivatives markets," International Review of Economics & Finance, Elsevier, vol. 45(C), pages 438-452.
    19. Panayiotis Andreou & Chris Charalambous & Spiros Martzoukos, 2014. "Assessing the performance of symmetric and asymmetric implied volatility functions," Review of Quantitative Finance and Accounting, Springer, vol. 42(3), pages 373-397, April.
    20. Wolfgang Härdle & Volker Krätschmer & Rouslan Moro, 2009. "A Microeconomic Explanation of the EPK Paradox," SFB 649 Discussion Papers SFB649DP2009-010, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    21. Chunpeng Yang & Bin Gao & Jianlei Yang, 2016. "Option pricing model with sentiment," Review of Derivatives Research, Springer, vol. 19(2), pages 147-164, July.

    More about this item

    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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