IDEAS home Printed from https://ideas.repec.org/a/cup/jpenef/v10y2011i01p31-52_00.html
   My bibliography  Save this article

Optimal funding of defined benefit pension plans

Author

Listed:
  • HAINAUT, DONATIEN
  • DEELSTRA, GRISELDA

Abstract

In this paper, we address the issue of determining the optimal contribution rate of a defined benefit pension fund. The affiliate's mortality is modelled by a jump process and the benefits paid at retirement are function of the evolution of future salaries. Assets of the fund are invested in cash, stocks, and a rolling bond. Interest rates are driven by a Vasicek model. The objective is to minimize both the quadratic spread between the contribution rate and the normal cost, and the quadratic spread between the terminal wealth and the mathematical reserve required to cover benefits. The optimization is done under a budget constraint that guarantees the actuarial equilibrium between the current asset and future contributions and benefits. The method of resolution is based on the Cox–Huang approach and on dynamic programming.

Suggested Citation

  • Hainaut, Donatien & Deelstra, Griselda, 2011. "Optimal funding of defined benefit pension plans," Journal of Pension Economics and Finance, Cambridge University Press, vol. 10(1), pages 31-52, January.
    • Handle: RePEc:cup:jpenef:v:10:y:2011:i:01:p:31-52_00
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S1474747210000016/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hainaut, Donatien, 2014. "Impulse control of pension fund contributions, in a regime switching economy," European Journal of Operational Research, Elsevier, vol. 239(3), pages 810-819.
    2. Josa-Fombellida, Ricardo & Rincón-Zapatero, Juan Pablo, 2019. "Equilibrium strategies in a defined benefit pension plan game," European Journal of Operational Research, Elsevier, vol. 275(1), pages 374-386.
    3. Michail Anthropelos & Evmorfia Blontzou, 2023. "On Valuation and Investments of Pension Plans in Discrete Incomplete Markets," Risks, MDPI, vol. 11(6), pages 1-24, June.
    4. 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.
    5. Guohui Guan & Zongxia Liang & Yi Xia, 2023. "Optimal management of DB pension fund under both underfunded and overfunded cases," Papers 2302.08731, arXiv.org.
    6. Yao, Haixiang & Lai, Yongzeng & Ma, Qinghua & Jian, Minjie, 2014. "Asset allocation for a DC pension fund with stochastic income and mortality risk: A multi-period mean–variance framework," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 84-92.
    7. Artem Dyachenko & Patrick Ley & Marc Oliver Rieger & Alexander F. Wagner, 2022. "The asset allocation of defined benefit pension plans: the role of sponsor contributions," Journal of Asset Management, Palgrave Macmillan, vol. 23(5), pages 376-389, September.
    8. Guan, Guohui & Hu, Jiaqi & Liang, Zongxia, 2022. "Robust equilibrium strategies in a defined benefit pension plan game," Insurance: Mathematics and Economics, Elsevier, vol. 106(C), pages 193-217.
    9. Yao, Haixiang & Chen, Ping & Li, Xun, 2016. "Multi-period defined contribution pension funds investment management with regime-switching and mortality risk," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 103-113.
    10. Guohui Guan & Jiaqi Hu & Zongxia Liang, 2021. "Robust equilibrium strategies in a defined benefit pension plan game," Papers 2103.09121, arXiv.org.
    11. Josa-Fombellida, Ricardo & López-Casado, Paula, 2023. "A defined benefit pension plan game with Brownian and Poisson jumps uncertainty," European Journal of Operational Research, Elsevier, vol. 310(3), pages 1294-1311.
    12. Le Courtois, Olivier & Menoncin, Francesco, 2015. "Portfolio optimisation with jumps: Illustration with a pension accumulation scheme," Journal of Banking & Finance, Elsevier, vol. 60(C), pages 127-137.

    More about this item

    Statistics

    Access and download statistics

    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:cup:jpenef:v:10:y:2011:i:01:p:31-52_00. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/pef .

    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.