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The Risk and Price Volatility of Stock Options in General Equilibrium

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  • Drees, Burkhard
  • Eckwert, Bernhard

Abstract

The traditional valuation formulas for options were derived in a complete market setting and were based on the no-arbitrage principle. If the asset structure is incomplete, the presence of options affects the linear subspace spanned by the payoffs of the existing assets, and the pricing of options and underlying primary assets becomes a simultaneous valuation problem. We characterize the relationship between the prices of options and the prices of the stocks on which the options are written in a general equilibrium model where options are non-redundant assets. Contrary to the predictions of the Black-Scholes-Merton theory, in our model investor preferences have an impact on the relationship between the prices of primary and derivative assets. Copyright 1995 by The editors of the Scandinavian Journal of Economics.

Suggested Citation

  • Drees, Burkhard & Eckwert, Bernhard, 1995. "The Risk and Price Volatility of Stock Options in General Equilibrium," Scandinavian Journal of Economics, Wiley Blackwell, vol. 97(3), pages 459-467, September.
  • Handle: RePEc:bla:scandj:v:97:y:1995:i:3:p:459-67
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    Cited by:

    1. Niehaus, Frank, 2001. "The Influence of Heterogeneous Preferences on Asset Prices in an Incomplete Market Model," Hannover Economic Papers (HEP) dp-234, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    2. Hiremath, Gourishankar S, 2009. "Effects of Option Introduction on Price and Volatility of Underlying Assets - A Review," MPRA Paper 46512, University Library of Munich, Germany.
    3. Frank Niehaus, 2000. "A Simple Option Pricing Model With Heterogeneous Agents," Computing in Economics and Finance 2000 342, Society for Computational Economics.
    4. Udo Broil & Bernhard Eckwert, 1999. "Exchange Rate Volatility and International Trade," Southern Economic Journal, John Wiley & Sons, vol. 66(1), pages 178-185, July.
    5. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.

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