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Can trading volume explain option prices?

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  • Nagel, Hartmut
  • Schöbel, Rainer

Abstract

In this paper we follow a different approach by taking a first step towards an option valuation model which does not explicitly make use of unobservable State variables. Instead of using a stochastic variance variable directly, we assume that the variance of stock returns is determined by the trading activity in the stock or the options market, respectively. As we will see, this is consistent with many empirical studies which report a positive relationship between the volume and volatility of individual securities. To our knowledge, this is the first time that an option pricing model uses trading volume in order to model the stochastic nature of the stock return variance. The major focus of our work is to combine recent theoretical work on option pricing models with results from the Statistical literature on volume, volatility and stock returns.

Suggested Citation

  • Nagel, Hartmut & Schöbel, Rainer, 1998. "Can trading volume explain option prices?," Tübinger Diskussionsbeiträge 128, University of Tübingen, School of Business and Economics.
    • Handle: RePEc:zbw:tuedps:128
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    References listed on IDEAS

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    1. Norbert Hofmann & Eckhard Platen & Martin Schweizer, 1992. "Option Pricing Under Incompleteness and Stochastic Volatility," Mathematical Finance, Wiley Blackwell, vol. 2(3), pages 153-187, July.
    2. Bewley, Ronald & Orden, David & Yang, Minxian & Fisher, Lance A., 1994. "Comparison of Box--Tiao and Johansen canonical estimators of cointegrating vectors in VEC(1) models," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 3-27.
    3. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    4. 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.
    5. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    6. A. Abhyankar & D. Ghosh & E. Levin & R.J. Limmack, 1997. "Bid‐ask Spreads, Trading Volume and Volatility: Intra‐day Evidence from the London Stock Exchange," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 24(3), pages 343-362, April.
    7. Chiras, Donald P. & Manaster, Steven, 1978. "The information content of option prices and a test of market efficiency," Journal of Financial Economics, Elsevier, vol. 6(2-3), pages 213-234.
    8. Schmalensee, Richard & Trippi, Robert R, 1978. "Common Stock Volatility Expectations Implied by Option Premia," Journal of Finance, American Finance Association, vol. 33(1), pages 129-147, March.
    9. Ferson, Wayne E. & Foerster, Stephen R., 1994. "Finite sample properties of the generalized method of moments in tests of conditional asset pricing models," Journal of Financial Economics, Elsevier, vol. 36(1), pages 29-55, August.
    10. 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.
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