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Optimal dynamic asset allocation of pension fund in mortality and salary risks framework

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  • Liang, Zongxia
  • Ma, Ming

Abstract

In this paper, we consider the optimal dynamic asset allocation of pension fund with mortality risk and salary risk. The managers of the pension fund try to find the optimal investment policy (optimal asset allocation) to maximize the expected utility of terminal wealth. The market is a combination of financial market and insurance market. The financial market consists of three assets: cashes with stochastic interest rate, stocks and rolling bonds, while the insurance market consists of mortality risk and salary risk. These two non-hedging risks cause incompleteness of the market. By martingale method and dynamic programming principle we first derive the approximate optimal investment policy to overcome the difficulty, then investigate the efficiency of the approximation. Finally, we solve an optimal assets liabilities management(ALM) problem with mortality risk and salary risk under CRRA utility, and reveal the influence of these two risks on the optimal investment policy by numerical illustration.

Suggested Citation

  • Liang, Zongxia & Ma, Ming, 2015. "Optimal dynamic asset allocation of pension fund in mortality and salary risks framework," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 151-161.
    • Handle: RePEc:eee:insuma:v:64:y:2015:i:c:p:151-161
    DOI: 10.1016/j.insmatheco.2015.05.008
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    Cited by:

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    2. Wang, Ning & Zhang, Yumo, 2024. "Robust asset-liability management games for n players under multivariate stochastic covariance models," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 67-98.
    3. Ayşegül İşcanog̃lu-Çekiç, 2016. "An Optimal Turkish Private Pension Plan with a Guarantee Feature," Risks, MDPI, vol. 4(3), pages 1-12, June.
    4. Ankush Agarwal & Christian-Oliver Ewald & Yongjie Wang, 2023. "Hedging longevity risk in defined contribution pension schemes," Computational Management Science, Springer, vol. 20(1), pages 1-34, December.
    5. Simo-Kengne, Beatrice D. & Riedel, Frank & Demeze-Jouatsa, Ghislain-Herman, 2022. "Demographic Changes and Asset Prices in an Overlapping Generations Model," Center for Mathematical Economics Working Papers 672, Center for Mathematical Economics, Bielefeld University.
    6. Motte, Edouard & Hainaut, Donatien, 2024. "Efficient hedging of life insurance portfolio for loss-averse insurers," LIDAM Discussion Papers ISBA 2024013, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

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    More about this item

    Keywords

    IE13; IE12; IE43; IB81; IB52; IE53; Assets liabilities management (ALM); Optimal dynamic asset allocation; Mortality risk; Salary risk; Incomplete market; Stochastic dynamic programming; Martingale method;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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