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Multi-period Markowitz's mean–variance portfolio selection with state-dependent exit probability

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  • Wu, Huiling
  • Zeng, Yan
  • Yao, Haixiang

Abstract

This paper considers a multi-period mean–variance portfolio selection problem with uncertain time-horizon in a regime-switching market, where the conditional distribution of the time-horizon is assumed to be stochastic and depends on the market states as the returns of risky assets do. Existence of the optimal investment strategy is analyzed, and the closed-form expressions for the optimal investment strategy and the efficient frontier are derived. In addition, some interesting properties of the efficient frontier are illustrated by numerical analysis and by comparing with the efficient frontier of the case where the distribution of the uncertain time-horizon does not depend on market states.

Suggested Citation

  • Wu, Huiling & Zeng, Yan & Yao, Haixiang, 2014. "Multi-period Markowitz's mean–variance portfolio selection with state-dependent exit probability," Economic Modelling, Elsevier, vol. 36(C), pages 69-78.
    • Handle: RePEc:eee:ecmode:v:36:y:2014:i:c:p:69-78
    DOI: 10.1016/j.econmod.2013.09.005
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    Cited by:

    1. Yuanyuan Zhang & Xiang Li & Sini Guo, 2018. "Portfolio selection problems with Markowitz’s mean–variance framework: a review of literature," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 125-158, June.
    2. Xidonas, Panos & Hassapis, Christis & Soulis, John & Samitas, Aristeidis, 2017. "Robust minimum variance portfolio optimization modelling under scenario uncertainty," Economic Modelling, Elsevier, vol. 64(C), pages 60-71.
    3. Yuling Max Chen & Bin Li & David Saunders, 2025. "Exploratory Mean-Variance Portfolio Optimization with Regime-Switching Market Dynamics," Papers 2501.16659, arXiv.org.
    4. Wu, Huiling & Chen, Hua, 2015. "Nash equilibrium strategy for a multi-period mean–variance portfolio selection problem with regime switching," Economic Modelling, Elsevier, vol. 46(C), pages 79-90.

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