We consider a random utility extension of the fundamental Lucas (1978) equilibrium asset pricing model. The resulting structural model leads naturally to a likelihood function. We estimate the model using U.S. asset market data from 1871 to 2000, using both dividends and earnings as state...

Kinks and jumps in the payoff function of option contracts prevent an effective implementation of higher-order numerical approximation methods. Moreover, the derivatives (the greeks) are not easily determined around such singularities, even with standard lower-order methods. This paper suggests...

This paper approximation errors are introduced in a Luca (1978)-type model to reflect model uncertainty. The purpose is twofold. First, the rational investor is allowed to take model uncertainty into account when asset prices are determined. Second, the statistical degeneracy, common to most...