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Portfolio Management With Constraints

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  • Phelim Boyle
  • Weidong Tian

Abstract

The traditional portfolio selection problem concerns an agent whose objective is to maximize the expected utility of terminal wealth over some horizon. This basic problem can be modified by adding constraints. In this paper we investigate the portfolio selection problem for an investor who desires to outperform some benchmark index with a certain confidence level. The benchmark is chosen to reflect some particular investment objective and it can be either deterministic or stochastic. The optimal strategy for this class of problems can lead to nonconvex constraints raising issues of existence and uniqueness. We solve this optimal portfolio selection problem and investigate the procedure for both deterministic and stochastic benchmarks.

Suggested Citation

  • Phelim Boyle & Weidong Tian, 2007. "Portfolio Management With Constraints," Mathematical Finance, Wiley Blackwell, vol. 17(3), pages 319-343, July.
    • Handle: RePEc:bla:mathfi:v:17:y:2007:i:3:p:319-343
    DOI: 10.1111/j.1467-9965.2007.00306.x
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    References listed on IDEAS

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    1. Jón Daníelsson & Bjørn N. Jorgensen & Casper G. de Vries & Xiaogang Yang, 2001. "Optimal Portfolio Allocation under a Probabilistic Risk Constraint and the Incentives for Financial Innovation," Tinbergen Institute Discussion Papers 01-069/2, Tinbergen Institute.
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