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Mispricing of S&P 500 Index Options

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  • Stylianos Perrakis
  • Jens Carsten Jackwerth
  • George Constantinides

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.

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Bibliographic Info

Paper provided by Warwick Business School, Finance Group in its series Working Papers with number wp05-07.

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Date of creation: 2005
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Handle: RePEc:wbs:wpaper:wp05-07

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References

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  1. Yacine Ait-Sahalia & Andrew W. Lo, 1995. "Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices," NBER Working Papers 5351, National Bureau of Economic Research, Inc.
  2. Nicolas P. B. Bollen & Robert E. Whaley, 2004. "Does Net Buying Pressure Affect the Shape of Implied Volatility Functions?," Journal of Finance, American Finance Association, vol. 59(2), pages 711-753, 04.
  3. Robert R. Bliss & Nikolaos Panigirtzoglou, 2004. "Option-Implied Risk Aversion Estimates," Journal of Finance, American Finance Association, vol. 59(1), pages 407-446, 02.
  4. Bernard Bensaid & Jean-Philippe Lesne & Henri Pagès & José Scheinkman, 1992. "Derivative Asset Pricing With Transaction Costs," Mathematical Finance, Wiley Blackwell, vol. 2(2), pages 63-86.
  5. Ait-Sahalia, Yacine & Lo, Andrew W., 2000. "Nonparametric risk management and implied risk aversion," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 9-51.
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Cited by:
  1. Luca Regis & Simone Scotti, 2008. "Risk Premium Impact in the Perturbative Black Scholes Model," Papers 0806.0307, arXiv.org.
  2. Jules H. van Binsbergen & Michael W. Brandt & Ralph S.J. Koijen, 2010. "On the Timing and Pricing of Dividends," NBER Working Papers 16455, National Bureau of Economic Research, Inc.
  3. 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.
  4. Jens Carsten Jackwerth & George M. Constantinides & Michal Czerwonko & Stylianos Perrakis, 2008. "Are Options on Index Futures Profitable for Risk Averse Investors? Empirical Evidence," CoFE Discussion Paper 08-08, Center of Finance and Econometrics, University of Konstanz.
  5. 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.
  6. Constantinides, George M. & Jackwerth, Jens Carsten & Perrakis, Stylianos, 2007. "Option Pricing: Real and Risk-Neutral Distributions," MPRA Paper 11637, University Library of Munich, Germany.
  7. Garleanu, Nicolae Bogdan & Pedersen, Lasse Heje & Poteshman, Allen M, 2005. "Demand-Based Option Pricing," CEPR Discussion Papers 5420, C.E.P.R. Discussion Papers.
  8. 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.
  9. 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.
  10. Beare, Brendan K. & Schmidt, Lawrence, 2011. "An Empirical Test of Pricing Kernel Monotonicity," University of California at San Diego, Economics Working Paper Series qt5572n8pc, Department of Economics, UC San Diego.
  11. 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.
  12. 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.

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