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Optimal portfolio choice with benchmarks

Author

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  • Carole Bernard
  • Rob H. De Staelen
  • Steven Vanduffel

Abstract

We construct an algorithm that makes it possible to numerically obtain an investor’s optimal portfolio under general preferences. In particular, the objective function and risks constraints may be driven by benchmarks (reflecting state-dependent preferences). We apply the algorithm to various classic optimal portfolio problems for which explicit solutions are available and show that our numerical solutions are compatible with them. This observation allows us to conclude that the algorithm can be trusted as a viable way to deal with portfolio optimisation problems for which explicit solutions are not in reach.

Suggested Citation

  • Carole Bernard & Rob H. De Staelen & Steven Vanduffel, 2019. "Optimal portfolio choice with benchmarks," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(10), pages 1600-1621, October.
  • Handle: RePEc:taf:tjorxx:v:70:y:2019:i:10:p:1600-1621
    DOI: 10.1080/01605682.2018.1470066
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    Cited by:

    1. Bernard, Carole & Cui, Xuecan, 2023. "Impact of systemic risk regulation on optimal policies and asset prices," Journal of Banking & Finance, Elsevier, vol. 154(C).
    2. Bernard, C. & De Gennaro Aquino, L. & Vanduffel, S., 2023. "Optimal multivariate financial decision making," European Journal of Operational Research, Elsevier, vol. 307(1), pages 468-483.

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