Constrained NonSmooth Utility Maximization on the Positive Real Line

Details Constrained NonSmooth Utility Maximization on the Positive Real Line Constrained NonSmooth Utility Maximization on the Positive Real Line

2010-10-19

arxiv.org/abs/1010.4055v1

Economy

Quantitative Finance

Computational Finance

20 pages

Scientific paper

We maximize the expected utility of terminal wealth in an incomplete market where there are cone constraints on the investor's portfolio process and the utility function is not assumed to be strictly concave or differentiable. We establish the existence of the optimal solutions to the primal and dual problems and their dual relationship. We simplify the present proofs in this area and extend the existing duality theory to the constrained nonsmooth setting.

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