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Constrained NonSmooth Utility Maximization on the Positive Real Line

Computational Finance 2010-10-21 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1010.4055,
  title  = {Constrained NonSmooth Utility Maximization on the Positive Real Line},
  author = {Nicholas Westray and Harry Zheng},
  journal= {arXiv preprint arXiv:1010.4055},
  year   = {2010}
}

Comments

20 pages

R2 v1 2026-06-21T16:31:10.365Z