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Heterogeneity and option pricing

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  • Benninga, Simon
  • Mayshar, Joram

    (Groningen University)

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    Abstract

    An economy with agents having constant yet heterogeneous degrees of relative risk aversion prices assets as though there were a single decreasing relative risk aversion pricing representative agent. The pricing kernel has fat tails and option prices do not conform to the Black-Scholes formula. Implied volatility exhibits a smile. Heterogeneous beliefs about distribution parameters also implies non-lognormal pricing kernels with fatter tails and over-pricing of out-of-the-money options. Heterogeneity as the source of non-stationary pricing fits Rubinstein’s (1994) interpretation of the over-pricing as an indication of crash-o-phobia. Rubinstein’s term suggests that those who hold out-of-the-money put options have relatively high risk aversion or relatively high subjective probability assessments of low market outcomes. The essence of this explanation is heterogeneity in investor attitudes towards risks and probability beliefs.

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    File URL: http://irs.ub.rug.nl/ppn/240429060
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    Paper provided by University of Groningen, Research Institute SOM (Systems, Organisations and Management) in its series Research Report with number 00E08.

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    Date of creation: 2000
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    Handle: RePEc:dgr:rugsom:00e08

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    1. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
    2. Bick, Avi, 1987. "On the Consistency of the Black-Scholes Model with a General Equilibrium Framework," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(03), pages 259-275, September.
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