We generalize the classical concept of a certainty equivalent to a model where an investor can trade on a capital market with several future trading dates. We show that if a riskless asset is traded and the investor has a CARA utility then our generalized certainty equivalent can be evaluated...

In the standard CAPM with a riskless asset we give a simple proof of existence of equilibria without assuming concavity of the investor's utility functions. Moreover, we give a uniqueness result using assumptions on the risk aversion of investors.

In the standard CAPM with a riskless asset we give a sufficient condition for uniqueness. This condition is a joint restriction on the agents' endowments and their preferences which is compatible with non-increasing absolute risk aversion and which is in particularsatisfied with constant...