EFFECTS OF INFORMATION, ESTIMATIONS AND CONSTRAINTS ON EXPECTED LOG-UTILITY MAXIMIZATION PROBLEM

In this paper, we consider effects of information, estimations and constraints on portfolio optimization problems in mathematical nance. In particular, a portfolio optimization problem of an investor who wants to maximize an expected utility of the investor\u27s terminal wealth is considered. As our risky security model we adopt a factor model in which the growth rate depends on an exogenous factor. We assume several strategies whose differences come from information of markets, estimations of a parameter and constraints of strategies, and study their effects to an expected utility theoretically and numerically. We adopt the logarithmic utility function as a utility function showing a risk aversion investor