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Optimal investment of DC pension plan under short-selling constraints and portfolio insurance

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  • Dong, Yinghui
  • Zheng, Harry

Abstract

In this paper we investigate an optimal investment problem under short-selling and portfolio insurance constraints faced by a defined contribution pension fund manager who is loss averse. The financial market consists of a cash bond, an indexed bond and a stock. The manager aims to maximize the expected S-shaped utility of the terminal wealth exceeding a minimum guarantee. We apply the dual control method to solve the problem and derive the representations of the optimal wealth process and trading strategies in terms of the dual controlled process and the dual value function. We also perform some numerical tests and show how the S-shaped utility, the short-selling constraints and the portfolio insurance impact the optimal terminal wealth.

Suggested Citation

  • Dong, Yinghui & Zheng, Harry, 2019. "Optimal investment of DC pension plan under short-selling constraints and portfolio insurance," Insurance: Mathematics and Economics, Elsevier, vol. 85(C), pages 47-59.
    • Handle: RePEc:eee:insuma:v:85:y:2019:i:c:p:47-59
    DOI: 10.1016/j.insmatheco.2018.12.005
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    Cited by:

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    2. John Armstrong & Damiano Brigo & Alex S. L. Tse, 2020. "The importance of dynamic risk constraints for limited liability operators," Papers 2011.03314, arXiv.org.
    3. Marcos Escobar-Anel & Michel Kschonnek & Rudi Zagst, 2022. "Portfolio optimization: not necessarily concave utility and constraints on wealth and allocation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(1), pages 101-140, February.
    4. Dong, Yinghui & Zheng, Harry, 2020. "Optimal investment with S-shaped utility and trading and Value at Risk constraints: An application to defined contribution pension plan," European Journal of Operational Research, Elsevier, vol. 281(2), pages 341-356.
    5. Gerrard, Russell & Kyriakou, Ioannis & Nielsen, Jens Perch & Vodička, Peter, 2023. "On optimal constrained investment strategies for long-term savers in stochastic environments and probability hedging," European Journal of Operational Research, Elsevier, vol. 307(2), pages 948-962.
    6. Mei-Ling Tang & Ting-Pin Wu & Ming-Chin Hung, 2022. "Optimal Pension Fund Management with Foreign Investment in a Stochastic Environment," Mathematics, MDPI, vol. 10(14), pages 1-21, July.

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    More about this item

    Keywords

    Short-selling constraints; Loss aversion; Dual control; Inflation risk; Portfolio insurance;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General

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