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Optimal portfolios under worst-case scenarios

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  • Carole Bernard
  • Jit Seng Chen
  • Steven Vanduffel

Abstract

In standard portfolio theories such as Mean-Variance optimization, expected utility theory, rank dependent utility heory, Yaari's dual theory and cumulative prospect theory, the worst outcomes for optimal strategies occur when the market declines (e.g. during crises), which is at odds with the needs of many investors. Hence, we depart from the traditional settings and study optimal strategies for investors who impose additional constraints on their final wealth in the states corresponding to a stressed financial market. We provide a framework that maintains the stylized features of the SP/A theory while dealing with the goal of security in a more flexible way. Preferences become state-dependent , and we assess the impact of these preferences on trading decisions. We construct optimal strategies explicitly and show how they outperform traditional diversified strategies under worst-case scenarios.

Suggested Citation

  • Carole Bernard & Jit Seng Chen & Steven Vanduffel, 2014. "Optimal portfolios under worst-case scenarios," Quantitative Finance, Taylor & Francis Journals, vol. 14(4), pages 657-671, April.
    • Handle: RePEc:taf:quantf:v:14:y:2014:i:4:p:657-671
    DOI: 10.1080/14697688.2013.836282
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    Cited by:

    1. Bernard, Carole & Vanduffel, Steven, 2015. "A new approach to assessing model risk in high dimensions," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 166-178.
    2. Bernard, Carole & Vanduffel, Steven & Ye, Jiang, 2019. "A new efficiency test for ranking investments: Application to hedge fund performance," Economics Letters, Elsevier, vol. 181(C), pages 203-207.
    3. Bernard, Carole & Chen, Jit Seng & Vanduffel, Steven, 2015. "Rationalizing investors’ choices," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 10-23.

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