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Asset Allocation with Regime-Switching: Discrete-Time Case

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  • Cheung, Ka Chun
  • Yang, Hailiang

Abstract

In this paper, we study the optimal asset allocation problem under a discrete regime switching model. Under the short-selling and leveraging constraints, the existence and uniqueness of the optimal trading strategy are obtained. We also obtain some natural properties of the optimal strategy. In particular, we show that if there exists a stochastic dominance order relationship between the random returns at different regimes, then we can order the optimal proportions we should invest in such regimes.

Suggested Citation

  • Cheung, Ka Chun & Yang, Hailiang, 2004. "Asset Allocation with Regime-Switching: Discrete-Time Case," ASTIN Bulletin, Cambridge University Press, vol. 34(1), pages 99-111, May.
    • Handle: RePEc:cup:astinb:v:34:y:2004:i:01:p:99-111_01
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    Cited by:

    1. Reza Keykhaei, 2020. "Portfolio selection in a regime switching market with a bankruptcy state and an uncertain exit-time: multi-period mean–variance formulation," Operational Research, Springer, vol. 20(3), pages 1231-1254, September.
    2. Huiling Wu & Chengguo Weng & Yan Zeng, 2018. "Equilibrium consumption and portfolio decisions with stochastic discount rate and time-varying utility functions," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(2), pages 541-582, March.
    3. Huiling Wu, 2016. "Optimal Investment-Consumption Strategy under Inflation in a Markovian Regime-Switching Market," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-17, July.
    4. Cheung, Ka Chun & Yang, Hailiang, 2005. "Optimal stopping behavior of equity-linked investment products with regime switching," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 599-614, December.
    5. Hu, Fengxia & Wang, Rongming, 2017. "Optimal investment–consumption strategy with liability and regime switching model under Value-at-Risk constraint," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 103-118.
    6. Zeng, Yan & Wu, Huiling & Lai, Yongzeng, 2013. "Optimal investment and consumption strategies with state-dependent utility functions and uncertain time-horizon," Economic Modelling, Elsevier, vol. 33(C), pages 462-470.
    7. Cai, Jun & Ge, Chenliang, 2012. "Multi-objective private wealth allocation without subportfolios," Economic Modelling, Elsevier, vol. 29(3), pages 900-907.

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