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The Impact of Serial Correlation on Option Prices in a Non- Frictionless Environment: An Alternative Explanation for Volatility Skew

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  • John S. Ying

    ()
    (Department of Economics,University of Delaware)

  • Joel S. Sternberg

    ()

Abstract

A persistent anomaly in option pricing is the volatility skew. Many have attempted to explain it with stochastic volatility and/or jump diffusion models with mixed results. We propose a model that incorporates positive serial correlation in the stock price process and test it on empirical data for four “momentum” stocks and their heavily traded options. Although the notion of serial correlation seems to challenge the notion of arbitrage enforced option valuation, in fact, the existence of transaction costs, discontinuities and other frictions in the market allow for fairly wide arbitrage-free bounds on option prices. Within these bounds, serial correlation seems to explain not only the often-noted skew in stock option prices, but also the rarely noted upward bias of implied volatilities over actual volatilities.

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File URL: http://graduate.lerner.udel.edu/sites/default/files/ECON/PDFs/RePEc/dlw/WorkingPapers/2005/UDWP2005-12.pdf
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Bibliographic Info

Paper provided by University of Delaware, Department of Economics in its series Working Papers with number 05-12.

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Length: 24 pages
Date of creation: 2005
Date of revision:
Handle: RePEc:dlw:wpaper:05-12

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Postal: Purnell Hall, Newark, Delaware 19716
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Fax: (302) 831-6968
Web page: http://www.lerner.udel.edu/departments/economics/department-economics/
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Keywords: Options; Implied Volatility; Volatility Skew;

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  1. David M. Cutler & James M. Poterba & Lawrence H. Summers, 1991. "Speculative Dynamics and the Role of Feedback Traders," NBER Working Papers 3243, National Bureau of Economic Research, Inc.
  2. Andrew W. Lo & Jiang Wang, 1994. "Implementing Option Pricing Models When Asset Returns Are Predictable," NBER Working Papers 4720, National Bureau of Economic Research, Inc.
  3. Wiggins, James B., 1987. "Option values under stochastic volatility: Theory and empirical estimates," Journal of Financial Economics, Elsevier, vol. 19(2), pages 351-372, December.
  4. George M. Constantinides & Thaleia Zariphopoulou, . "Bounds on Prices of Contingent Claims in an Intertemporal Economy with Proportional Transaction Costs and General Preferences," CRSP working papers 347, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  5. Lo, Andrew W & MacKinlay, A Craig, 1990. "When Are Contrarian Profits Due to Stock Market Overreaction?," Review of Financial Studies, Society for Financial Studies, vol. 3(2), pages 175-205.
  6. Andrew W. Lo, A. Craig MacKinlay, 1988. "Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 41-66.
  7. Boyle, Phelim P & Vorst, Ton, 1992. " Option Replication in Discrete Time with Transaction Costs," Journal of Finance, American Finance Association, vol. 47(1), pages 271-93, March.
  8. Fama, Eugene F & French, Kenneth R, 1988. "Permanent and Temporary Components of Stock Prices," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 246-73, April.
  9. Johnson, Herb & Shanno, David, 1987. "Option Pricing when the Variance Is Changing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(02), pages 143-151, June.
  10. Hayne E. Leland., 1984. "Option Pricing and Replication with Transactions Costs," Research Program in Finance Working Papers 144, University of California at Berkeley.
  11. Harrison Hong & Jeremy C. Stein, 1997. "A Unified Theory of Underreaction, Momentum Trading and Overreaction in Asset Markets," NBER Working Papers 6324, National Bureau of Economic Research, Inc.
  12. Poterba, James M. & Summers, Lawrence H., 1988. "Mean reversion in stock prices : Evidence and Implications," Journal of Financial Economics, Elsevier, vol. 22(1), pages 27-59, October.
  13. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
  14. Mark Rubinstein., 1994. "Implied Binomial Trees," Research Program in Finance Working Papers RPF-232, University of California at Berkeley.
  15. 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 327-43.
  16. George M. Constantinides & Thaleia Zariphopoulou, 2001. "Bounds on Derivative Prices in an Intertemporal Setting with Proportional Transaction Costs and Multiple Securities," Mathematical Finance, Wiley Blackwell, vol. 11(3), pages 331-346.
  17. Canina, Linda & Figlewski, Stephen, 1993. "The Informational Content of Implied Volatility," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 659-81.
  18. Christensen, B. J. & Prabhala, N. R., 1998. "The relation between implied and realized volatility," Journal of Financial Economics, Elsevier, vol. 50(2), pages 125-150, November.
  19. Boyle, Phelim P., 1977. "Options: A Monte Carlo approach," Journal of Financial Economics, Elsevier, vol. 4(3), pages 323-338, May.
  20. George M. Constantinides & Stylianos Perrakis, 2002. "Stochastic Dominance Bounds on Derivative Prices in a Multiperiod Economy with Proportional Transaction Costs," NBER Working Papers 8867, National Bureau of Economic Research, Inc.
  21. Nicholas Barberis & Andrei Shleifer & Robert W. Vishny, 1997. "A Model of Investor Sentiment," NBER Working Papers 5926, National Bureau of Economic Research, Inc.
  22. Hull, John C & White, Alan D, 1987. " The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
  23. Rubinstein, Mark, 1994. " Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July.
  24. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. " Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
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