Article

EQUILIBRIUM ASSET AND OPTION PRICING UNDER JUMP DIFFUSION

The University of Hong Kong
Mathematical Finance (impact factor: 1.25). 12/2010; 22(3):538 - 568. DOI:10.1111/j.1467-9965.2010.00468.x pp.538 - 568

ABSTRACT This paper develops an equilibrium asset and option pricing model in a production economy under jump diffusion. The model provides analytical formulas for an equity premium and a more general pricing kernel that links the physical and risk-neutral densities. The model explains the two empirical phenomena of the negative variance risk premium and implied volatility smirk if market crashes are expected. Model estimation with the S&P 500 index from 1985 to 2005 shows that jump size is indeed negative and the risk aversion coefficient has a reasonable value when taking the jump into account.

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Jin E. Zhang