Abstract:
We consider the problem of expected power utility maximization from terminal wealth in
diffusion market models under partial information. Explicit expressions for the value-process
and for the optimal strategy are obtained for some interesting special cases. In particular,
a closed form solution is given in terms of a PDE with terminal condition for Markovian
models. An illustration of the optimal strategy is provided by means of some numerical
simulations.
Keywords:
Backward stochastic differential equation; power utility maximization problem;
basis risk model; stochastic correlation
MSC:
60
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