IDEAS home Printed from https://ideas.repec.org/a/taf/apfiec/v23y2013i15p1215-1229.html
   My bibliography  Save this article

Valuation of liabilities in hybrid pension plans

Author

Listed:
  • Dirk Broeders
  • An Chen
  • David Rijsbergen

Abstract

Contemporary pension plans are often hybrid pension plans, a mixture of defined benefit and defined contribution plans. In this article, we model a continuum of stylized hybrid pension plans in a run-off pension fund and value these pension liabilities taking account of both equity and interest rate risk. We achieve analytic valuation formulae and examine how the liability evolves over time. Comparative statistics are carried out to show the relevance of some key parameters in defining the hybrid pension plans, particularly the indicator of hybridity and the equity allocation in the pension fund's investment policy.

Suggested Citation

  • Dirk Broeders & An Chen & David Rijsbergen, 2013. "Valuation of liabilities in hybrid pension plans," Applied Financial Economics, Taylor & Francis Journals, vol. 23(15), pages 1215-1229, August.
    • Handle: RePEc:taf:apfiec:v:23:y:2013:i:15:p:1215-1229
    DOI: 10.1080/09603107.2013.788778
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/09603107.2013.788778
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/09603107.2013.788778?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Johnson, Richard W. & Steuerle, Eugene, 2004. "Promoting work at older ages: the role of hybrid pension plans in an aging population," Journal of Pension Economics and Finance, Cambridge University Press, vol. 3(3), pages 315-337, November.
    2. Dirk Broeders, 2010. "Valuation of Contingent Pension Liabilities and Guarantees Under Sponsor Default Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(4), pages 911-934, December.
    3. Michael J. Brennan & Yihong Xia, 2002. "Dynamic Asset Allocation under Inflation," Journal of Finance, American Finance Association, vol. 57(3), pages 1201-1238, June.
    4. Clark, Robert L. & Schieber, Sylvester J., 2004. "Adopting cash balance pension plans: implications and issues," Journal of Pension Economics and Finance, Cambridge University Press, vol. 3(3), pages 271-295, November.
    5. Leora Friedberg & Anthony Webb, 2005. "Retirement and the Evolution of Pension Structure," Journal of Human Resources, University of Wisconsin Press, vol. 40(2).
    6. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    7. Broeders, Dirk & Chen, An, 2010. "Pension regulation and the market value of pension liabilities: A contingent claims analysis using Parisian options," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1201-1214, June.
    8. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    9. Exley, C.J. & Mehta, S.J.B. & Smith, A.D., 1997. "The Financial Theory of Defined Benefit Pension Schemes," British Actuarial Journal, Cambridge University Press, vol. 3(4), pages 835-966, October.
    10. Greg Niehaus & Tong Yu, 2005. "Cash‐Balance Plan Conversions: Evidence on Excise Taxes and Implicit Contracts," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(2), pages 321-352, June.
    11. Coronado, Julia Lynn & Copeland, Philip C., 2004. "Cash balance pension plan conversions and the new economy," Journal of Pension Economics and Finance, Cambridge University Press, vol. 3(3), pages 297-314, November.
    12. Mitchell, Olivia S. & Mulvey, Janemarie, 2004. "Potential implications of mandating choice in corporate defined benefit plans," Journal of Pension Economics and Finance, Cambridge University Press, vol. 3(3), pages 339-354, November.
    13. Carter, Lawrence R. & Lee, Ronald D., 1992. "Modeling and forecasting US sex differentials in mortality," International Journal of Forecasting, Elsevier, vol. 8(3), pages 393-411, November.
    14. de Jong, Frank, 2008. "Pension fund investments and the valuation of liabilities under conditional indexation," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 1-13, February.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Platanakis, Emmanouil & Sutcliffe, Charles, 2016. "Pension scheme redesign and wealth redistribution between the members and sponsor: The USS rule change in October 2011," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 14-28.
    2. An Chen & Motonobu Kanagawa & Fangyuan Zhang, 2021. "Intergenerational risk sharing in a Defined Contribution pension system: analysis with Bayesian optimization," Papers 2106.13644, arXiv.org, revised Mar 2023.
    3. Anna Rita Bacinello & An Chen & Thorsten Sehner & Pietro Millossovich, 2021. "On the Market-Consistent Valuation of Participating Life Insurance Heterogeneous Contracts under Longevity Risk," Risks, MDPI, vol. 9(1), pages 1-18, January.

    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. Dirk Broeders & An Chen & David Rijsbergen, 2013. "Valuation of liabilities in hybrid pension plans," Applied Financial Economics, Taylor & Francis Journals, vol. 23(15), pages 1215-1229, August.
    2. Tang, Chun-Hua, 2018. "Subjective value of the guarantees embedded in public cash-balance pension plans," Journal of Pension Economics and Finance, Cambridge University Press, vol. 17(2), pages 231-250, April.
    3. Lim, Andrew E.B. & Wong, Bernard, 2010. "A benchmarking approach to optimal asset allocation for insurers and pension funds," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 317-327, April.
    4. Munk, Claus & Sorensen, Carsten, 2004. "Optimal consumption and investment strategies with stochastic interest rates," Journal of Banking & Finance, Elsevier, vol. 28(8), pages 1987-2013, August.
    5. Berdin, Elia, 2016. "Interest rate risk, longevity risk and the solvency of life insurers," ICIR Working Paper Series 23/16, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    6. Georgina Onuma Kalu & Chinemerem Dennis Ikpe & Benjamin Ifeanyichukwu Oruh & Samuel Asante Gyamerah, 2020. "State Space Vasicek Model of a Longevity Bond," Papers 2011.12753, arXiv.org.
    7. Romain Deguest & Lionel Martellini & Vincent Milhau, 2018. "A Reinterpretation of the Optimal Demand for Risky Assets in Fund Separation Theorems," Management Science, INFORMS, vol. 64(9), pages 4333-4347, September.
    8. Christian Flor & Linda Larsen, 2014. "Robust portfolio choice with stochastic interest rates," Annals of Finance, Springer, vol. 10(2), pages 243-265, May.
    9. Bilel Jarraya & Abdelfettah Bouri, 2013. "A Theoretical Assessment on Optimal Asset Allocations in Insurance Industry," International Journal of Finance & Banking Studies, Center for the Strategic Studies in Business and Finance, vol. 2(4), pages 30-44, October.
    10. Grishchenko, Olesya V. & Vanden, Joel M. & Zhang, Jianing, 2016. "The informational content of the embedded deflation option in TIPS," Journal of Banking & Finance, Elsevier, vol. 65(C), pages 1-26.
    11. Broeders, Dirk & Chen, An & Koos, Birgit, 2011. "A utility-based comparison of pension funds and life insurance companies under regulatory constraints," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 1-10, July.
    12. Escobar, Marcos & Ferrando, Sebastian & Rubtsov, Alexey, 2016. "Portfolio choice with stochastic interest rates and learning about stock return predictability," International Review of Economics & Finance, Elsevier, vol. 41(C), pages 347-370.
    13. Kim, Joseph H.T. & Li, Johnny S.H., 2017. "Risk-neutral valuation of the non-recourse protection in reverse mortgages: A case study for Korea," Emerging Markets Review, Elsevier, vol. 30(C), pages 133-154.
    14. Bensusan, Harry & El Karoui, Nicole & Loisel, Stéphane & Salhi, Yahia, 2016. "Partial splitting of longevity and financial risks: The longevity nominal choosing swaptions," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 61-72.
    15. Shu Ling Chiang & Ming Shann Tsai & Chien An Wang, 2021. "Determining an Optimal Principal Limit Factor for Reverse Mortgages under Economics-Based Models," The Journal of Real Estate Finance and Economics, Springer, vol. 63(4), pages 565-597, November.
    16. Leunglung Chan & Eckhard Platen, 2016. "Pricing of long dated equity-linked life insurance contracts," Published Paper Series 2016-5, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    17. Chen, An & Nguyen, Thai & Rach, Manuel, 2021. "Optimal collective investment: The impact of sharing rules, management fees and guarantees," Journal of Banking & Finance, Elsevier, vol. 123(C).
    18. Jang, Jiwook & Qu, Yan & Zhao, Hongbiao & Dassios, Angelos, 2023. "A Cox model for gradually disappearing events," LSE Research Online Documents on Economics 112754, London School of Economics and Political Science, LSE Library.
    19. Zhou, Y., 2014. "Essays on habit formation and inflation hedging," Other publications TiSEM 4886da12-1b84-4fd9-aa07-3, Tilburg University, School of Economics and Management.
    20. Han, Nan-Wei & Hung, Mao-Wei, 2006. "Estimated inflation rate, consumption and portfolio decision," Economics Letters, Elsevier, vol. 92(3), pages 402-408, September.

    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:taf:apfiec:v:23:y:2013:i:15:p:1215-1229. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAFE20 .

    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.