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Dynamic Liability-Driven Investment under Sponsor’s Loss Aversion

Author

Listed:
  • Dong-Hwa Lee

    (Pension Research Division, National Pension Research Institute, Sejong 30116, Republic of Korea)

  • Joo-Ho Sung

    (School of Management, Kyung Hee University, Seoul 02447, Republic of Korea)

Abstract

This paper investigates a dynamic liability-driven investment policy for defined-benefit (DB) plans by incorporating the loss aversion of a sponsor, who is assumed to be more sensitive to underfunding than overfunding. Through the lens of prospect theory, we first set up a loss-aversion utility function for a sponsor whose utility depends on the funding ratio in each period, obtained from stochastic processes of pension assets and liabilities. We then construct a multi-horizon dynamic control optimization problem to find the optimal investment strategy that maximizes the expected utility of the plan sponsor. A genetic algorithm is employed to provide a numerical solution for our nonlinear dynamic optimization problem. Our results suggest that the overall paths of the optimal equity allocation decline as the age of a plan participant reaches retirement. We also find that the equity portion of the portfolio increases when a sponsor is less loss-averse or the contribution rate is lower.

Suggested Citation

  • Dong-Hwa Lee & Joo-Ho Sung, 2024. "Dynamic Liability-Driven Investment under Sponsor’s Loss Aversion," Risks, MDPI, vol. 12(2), pages 1-14, February.
    • Handle: RePEc:gam:jrisks:v:12:y:2024:i:2:p:38-:d:1338348
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    References listed on IDEAS

    as
    1. Andrew Ang & Bingxu Chen & Suresh Sundaresan, 2013. "Liability Investment with Downside Risk," NBER Working Papers 19030, National Bureau of Economic Research, Inc.
    2. Huang, Xiaoxia & Zhao, Tianyi, 2014. "Mean-chance model for portfolio selection based on uncertain measure," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 243-250.
    3. Maurer, Raimond & Mitchell, Olivia S. & Rogalla, Ralph, 2009. "Managing contribution and capital market risk in a funded public defined benefit plan: Impact of CVaR cost constraints," Insurance: Mathematics and Economics, Elsevier, vol. 45(1), pages 25-34, August.
    4. Haberman, Steven & Sung, Joo-Ho, 1994. "Dynamic approaches to pension funding," Insurance: Mathematics and Economics, Elsevier, vol. 15(2-3), pages 151-162, December.
    5. Albrecht, Peter & Maurer, Raimond, 2002. "Self-Annuitization, Consumption Shortfall in Retirement and Asset Allocation: The Annuity Benchmark," Journal of Pension Economics and Finance, Cambridge University Press, vol. 1(3), pages 269-288, November.
    6. Hoevenaars, Roy P.M.M. & Molenaar, Roderick D.J. & Schotman, Peter C. & Steenkamp, Tom B.M., 2008. "Strategic asset allocation with liabilities: Beyond stocks and bonds," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2939-2970, September.
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