Economy – Quantitative Finance – Portfolio Management
Scientific paper
2008-04-29
SIAM J. of Control and Optimization} (2005) 44, No. 4, pp. 1239-1258
Economy
Quantitative Finance
Portfolio Management
25 pages
Scientific paper
10.1137/S036301290342557x
We consider optimal investment problems for a diffusion market model with non-observable random drifts that evolve as an Ito's process. Admissible strategies do not use direct observations of the market parameters, but rather use historical stock prices. For a non-linear problem with a general performance criterion, the optimal portfolio strategy is expressed via the solution of a scalar minimization problem and a linear parabolic equation with coefficients generated by the Kalman filter.
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