Option Pricing and Asset Valuation
In this paper we propose a simple, intuitive approach to asset valuation in terms of marginal contributions to the characteristics (moments) of the market portfolio. Considering only the first two moments, mean and variance, the valuation equation is shown to correspond to Sharpe’s CAPM. A risk-neutral pricing formula is easily derived, showing the equivalence between CAPM and the Black and Scholes’ model. Extensions to higher moments like skewness and kurtosis are straightforward, providing a generalized valuation equation. Finally, the generalized equation is derived in a different, more rigorous way, as a result of a classical intertemporal general equilibrium model.
|Date of creation:||2003|
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- 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 637-654, May-June.
- Robert F. Dittmar, 2002. "Nonlinear Pricing Kernels, Kurtosis Preference, and Evidence from the Cross Section of Equity Returns," Journal of Finance, American Finance Association, vol. 57(1), pages 369-403, 02.