We study the optimal investment problem for a continuous time incomplete market model such that the risk-free rate, the appreciation rates and the volatility of the stocks are all random; they are assumed to be independent from the driving Brownian motion, and they are supposed to be currently...

For the problem of continuous time optimal portfolio selection, we found that the optimal strategies for investors with different performance criterions can be constructed using a limited number of fixed processes (mutual funds), for a incomplete market with a larger number of available risky...