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Asset allocation under loss aversion and minimum performance constraint in a DC pension plan with inflation risk

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  • Chen, Zheng
  • Li, Zhongfei
  • Zeng, Yan
  • Sun, Jingyun

Abstract

In this paper we investigate an optimal investment strategy for a defined-contribution (DC) pension plan member who is loss averse, pays close attention to inflation and longevity risks and requires a minimum performance at retirement. The member aims to maximize the expected S-shaped utility from the terminal wealth exceeding the minimum performance by investing her wealth in a financial market consisting of an indexed bond, a stock and a risk-free asset. We derive the optimal investment strategy in closed-form using the martingale approach. Our theoretical and numerical results reveal that the wealth proportion invested in each risky asset has a V-shaped pattern in the reference point level, while it always increases in the rising lifespan; with a positive correlation between salary and inflation risks, the presence of salary decreases the member’s investment in risky assets; the minimum performance helps to hedge the longevity risk by increasing her investment in risky assets.

Suggested Citation

  • Chen, Zheng & Li, Zhongfei & Zeng, Yan & Sun, Jingyun, 2017. "Asset allocation under loss aversion and minimum performance constraint in a DC pension plan with inflation risk," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 137-150.
    • Handle: RePEc:eee:insuma:v:75:y:2017:i:c:p:137-150
    DOI: 10.1016/j.insmatheco.2017.05.009
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    5. Wujun Lv & Tao Pang & Xiaobao Xia & Jingzhou Yan, 2023. "Dynamic portfolio choice with uncertain rare-events risk in stock and cryptocurrency markets," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-28, December.
    6. Hui Mi & Zuo Quan Xu & Dongfang Yang, 2023. "Optimal Management of DC Pension Plan with Inflation Risk and Tail VaR Constraint," Papers 2309.01936, arXiv.org.
    7. Wang, Suxin & Rong, Ximin & Zhao, Hui, 2019. "Optimal investment and benefit payment strategy under loss aversion for target benefit pension plans," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 205-218.
    8. Huang, Jia & Chen, Zheng, 2021. "Optimal risk asset allocation of a loss-averse bank with partial information under inflation risk," Finance Research Letters, Elsevier, vol. 38(C).
    9. Calisto Guambe & Rodwell Kufakunesu & Gusti Van Zyl & Conrad Beyers, 2018. "Optimal asset allocation for a DC plan with partial information under inflation and mortality risks," Papers 1808.06337, arXiv.org, revised Aug 2018.
    10. Zeng, Yan & Li, Danping & Chen, Zheng & Yang, Zhou, 2018. "Ambiguity aversion and optimal derivative-based pension investment with stochastic income and volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 88(C), pages 70-103.
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    12. María del Carmen Valls Martínez & José Manuel Santos-Jaén & Fahim-ul Amin & Pedro Antonio Martín-Cervantes, 2021. "Pensions, Ageing and Social Security Research: Literature Review and Global Trends," Mathematics, MDPI, vol. 9(24), pages 1-25, December.
    13. Yang Wang & Xiao Xu & Jizhou Zhang, 2021. "Optimal Investment Strategy for DC Pension Plan with Stochastic Income and Inflation Risk under the Ornstein–Uhlenbeck Model," Mathematics, MDPI, vol. 9(15), pages 1-15, July.
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    More about this item

    Keywords

    DC pension plan; Minimum performance constraint; Loss aversion; Martingale approach; Inflation risk;
    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
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

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