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Maximization of recursive utilities under convex portfolio constraints

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  • Anis Matoussi
  • Hanen Mezghani
  • Mohamed Mnif

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.

Suggested Citation

  • Anis Matoussi & Hanen Mezghani & Mohamed Mnif, 2013. "Maximization of recursive utilities under convex portfolio constraints," Papers 1307.0872, arXiv.org, revised Sep 2014.
    • Handle: RePEc:arx:papers:1307.0872
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    References listed on IDEAS

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