The single-period two-parameter asset pricing model underlies a substantial amount of theoretical and empirical work on asset pricing. The conventional assumptions used in deriving this model include perfect capital markets, risk aversion, homogeneous expectations, and the assumption that returns on all assets are distributed according to a multivariate normal distribution. Since the early work of Sharpe 1964, Lintner 1965a 1965b, and Mossin 1966, among others, considerable effort has been devoted to generalizing the conditions under which the two-parameter framework can be used to develop characterizations of capital market equilibrium. The work by Black 1972 and Fama 1970 are two examples of these kinds of efforts. A review of others is provided by Jensen [1972]. The present paper examines some implications of relaxing the assumption of homogeneous expectations (i.e., the assumption that agents’ assessed distribution functions of returns are identical). This topic was investigated by, e.g., Eintner [1969]. Unlike the letter study, the present analysis imposes no special conditions on agents’ utility functions, other than those already assumed in the two-parameter framework with homogeneous expectations. Instead, restrictions are imposed on the nature of agents’ assessed distribution functions.