UTILITY MAXIMIZATION WITH PARTIAL INFORMATION

被引:112
作者
LAKNER, P
机构
[1] Statistics and Operations Research Department, New York University, New York, NY 10012
关键词
SECURITY PRICE PROCESS; STOCHASTIC DIFFERENTIAL EQUATION; INVESTMENT AND CONSUMPTION; UTILITY MAXIMIZATION;
D O I
10.1016/0304-4149(94)00073-3
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In the present paper we address two maximization problems: the maximization of expected total utility from consumption and the maximization of expected utility from terminal wealth. The price process of the available financial assets is assumed to satisfy a system of functional stochastic differential equations. The difference between this paper and the existing papers on the same subject is that here we require the consumption and investment processes to be adapted to the natural filtration of the price processes. This requirement means that the only available information for agents in this economy at a certain time are the prices of the financial assets up to that time. The underlying Brownian motion and the drift process in the system of equations for the asset prices are not directly observable. Particular details will be worked out for the ''Bayesian'' example, when the dispersion coefficient is a fixed invertible matrix and the drift vector is an F-0-measurable, unobserved random variable with known distribution.
引用
收藏
页码:247 / 273
页数:27
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