This paper examines the behavior of asset returns as predicted by the
consumption-based capital asset pricing model within an artificial eco
nomy that includes a low probability, crash state in consumption and d
ividends. It is demonstrated that the behavior of agents' intertempora
l marginal rate of substitution in such an economy is consistent with
the Hansen and Jagannathan (1991) frontier even though the consumption
process in the model is calibrated to actual data, preferences are ti
me separable, and agents' relative risk aversion is restricted to mode
rate levels. Moreover, as demonstrated by Rietz (1988), the crash-stat
e economy can replicate the mean of excess returns on equity, i.e. the
equity premium. However, the model severely underpredicts the volatil
ity of excess returns. (C) 1998 Elsevier Science B.V. All rights reser
ved.