FBSDE approach to utility portfolio selection in a market with random parameters
A continuous-time utility portfolio selection problem is studied in a market in which the interest rate, appreciation rates and volatility coefficients are driven by Brownian motion. We construct an optimal portfolio using results from forward-backward stochastic differential equations (FBSDE) theory. As an illustration, exact computation of the optimal strategy is done for the power and exponential type utilities.
Year of publication: |
2008
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---|---|
Authors: | Ferland, René ; Watier, François |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 78.2008, 4, p. 426-434
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Publisher: |
Elsevier |
Keywords: | Expected utility maximization Optimal portfolio Forward-backward stochastic differential equations |
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