Maximizing The Expected Utility With Power Utility Function From Terminal Wealth With Partial Information

This paper attacks the maximization problem for the expected utility of the terminal wealth with partial information when the utility function is X~α(0 < α < 1).Firstly,the paper prove a theorem about solving a class of BSDEs.By the theorem,this paper obtain a solution to the optimal strategy but it is not an explicit solution.To obtain the numerical solution ,in the later part,the inexplicit solution is estimated by using Euler method. Finally,with the computer, we obtain the exact solution and numerical solution in certain easier condition.