IDEAS home Printed from https://ideas.repec.org/a/gam/jrisks/v12y2024i2p38-d1338348.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-9091/12/2/38/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-9091/12/2/38/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Andrew Ang & Bingxu Chen & Suresh Sundaresan, 2013. "Liability Investment with Downside Risk," NBER Working Papers 19030, National Bureau of Economic Research, Inc.
    4. 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.
    5. 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.
    6. Haberman, Steven & Sung, Joo-Ho, 1994. "Dynamic approaches to pension funding," Insurance: Mathematics and Economics, Elsevier, vol. 15(2-3), pages 151-162, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Horváth, Ferenc, 2017. "Essays on robust asset pricing," Other publications TiSEM e54d7b33-1f27-4b0e-9f84-f, Tilburg University, School of Economics and Management.
    3. Samuel H. Cox & Yijia Lin & Ruilin Tian & Jifeng Yu, 2013. "Managing Capital Market and Longevity Risks in a Defined Benefit Pension Plan," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 585-620, September.
    4. Molenaar, R. & Ponds, E.H.M., 2011. "Risk Sharing and Individual Lifecycle Investing in Funded Collective Pensions," Other publications TiSEM b036a69d-317f-41c5-9581-f, Tilburg University, School of Economics and Management.
    5. Yawen Hwang & Shihchieh Chang & Shuhan Yang, 2012. "Measuring the consequences of pension reform applying liquidation and longevity considerations," Journal of Economic Policy Reform, Taylor & Francis Journals, vol. 15(3), pages 243-255, September.
    6. Berkelaar, Arjan & Kouwenberg, Roy, 2003. "Retirement saving with contribution payments and labor income as a benchmark for investments," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 1069-1097, April.
    7. Gregory H. MacKinnon & Ashraf Al Zaman, 2009. "Real Estate for the Long Term: The Effect of Return Predictability on Long‐Horizon Allocations," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 37(1), pages 117-153, March.
    8. Di Giacinto, Marina & Federico, Salvatore & Gozzi, Fausto & Vigna, Elena, 2014. "Income drawdown option with minimum guarantee," European Journal of Operational Research, Elsevier, vol. 234(3), pages 610-624.
    9. Huang, H. & Milevsky, M. A. & Wang, J., 2004. "Ruined moments in your life: how good are the approximations?," Insurance: Mathematics and Economics, Elsevier, vol. 34(3), pages 421-447, June.
    10. Thorsten Moenig, 2021. "Efficient valuation of variable annuity portfolios with dynamic programming," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(4), pages 1023-1055, December.
    11. Romaniuk, Katarzyna, 2019. "Premiums of the Pension Benefit Guarantee Corporation and risk-taking by pension plans," The Quarterly Review of Economics and Finance, Elsevier, vol. 74(C), pages 301-307.
    12. repec:dau:papers:123456789/9296 is not listed on IDEAS
    13. Arjan Berkelaar & Roy Kouwenberg, 2011. "A Liability-Relative Drawdown Approach to Pension Asset Liability Management," Palgrave Macmillan Books, in: Gautam Mitra & Katharina Schwaiger (ed.), Asset and Liability Management Handbook, chapter 14, pages 352-382, Palgrave Macmillan.
    14. Fulli-Lemaire, Nicolas, 2013. "Alternative inflation hedging strategies for ALM," MPRA Paper 43755, University Library of Munich, Germany.
    15. Stamos, Michael Z., 2008. "Optimal consumption and portfolio choice for pooled annuity funds," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 56-68, August.
    16. Taylor, Greg, 2002. "Stochastic control of funding systems," Insurance: Mathematics and Economics, Elsevier, vol. 30(3), pages 323-350, June.
    17. Marina Di Giacinto & Bjarne Højgaard & Elena Vigna, 2010. "Optimal time of annuitization in the decumulation phase of a defined contribution pension scheme," Working Papers 2010-08, Universita' di Cassino, Dipartimento di Economia e Giurisprudenza.
    18. Ai, Jing & Brockett, Patrick L. & Jacobson, Allen F., 2015. "A new defined benefit pension risk measurement methodology," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 40-51.
    19. Josa-Fombellida, Ricardo & Navas, Jorge, 2020. "Time consistent pension funding in a defined benefit pension plan with non-constant discounting," Insurance: Mathematics and Economics, Elsevier, vol. 94(C), pages 142-153.
    20. David Blake & Marco Morales & Enrico Biffis & Yijia Lin & Andreas Milidonis, 2017. "Special Edition: Longevity 10 – The Tenth International Longevity Risk and Capital Markets Solutions Conference," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(S1), pages 515-532, April.
    21. Varas, Felipe & Walker, Eduardo, 2011. "Optimal close-to-home biases in asset allocation," Journal of Business Research, Elsevier, vol. 64(3), pages 328-337, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jrisks:v:12:y:2024:i:2:p:38-:d:1338348. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.