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Maximization of recursive utilities under convex portfolio constraints

Probability 2014-09-23 v3 Portfolio Management

Abstract

We study a robust maximization problem from terminal wealth and consumption under a convex constraints on the portfolio. We state the existence and the uniqueness of the consumption-investment strategy by studying the associated quadratic backward stochastic differential equation (BSDE in short). We characterize the optimal control by using the duality method and deriving a dynamic maximum principle.

Keywords

Cite

@article{arxiv.1307.0872,
  title  = {Maximization of recursive utilities under convex portfolio constraints},
  author = {Anis Matoussi and Hanen Mezghani and Mohamed Mnif},
  journal= {arXiv preprint arXiv:1307.0872},
  year   = {2014}
}

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26 pages