IDEAS home Printed from https://ideas.repec.org/a/eee/insuma/v49y2011i3p401-409.html
   My bibliography  Save this article

A risk-based model for the valuation of pension insurance

Author

Listed:
  • Chen, An

Abstract

In the US, defined benefit plans are insured by the Pension Benefit Guaranty Corporation (PBGC). Taking account of the fact that the PBGC covers only the residual deficits of the pension fund the sponsoring company is unable to cover and that the plans can be prematurely terminated, we consider a model that accounts for the joint dynamics of the pension fund’s and sponsoring firm’s assets in order to effectively determine the risk-based pension premium for the insurance provided by the PBGC. We obtain a closed-form pricing formula for this risk-based premium. Its magnitude depends highly on the investment portfolio of the pension fund and of the sponsoring company as well as the correlation between these two portfolios.

Suggested Citation

  • Chen, An, 2011. "A risk-based model for the valuation of pension insurance," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 401-409.
    • Handle: RePEc:eee:insuma:v:49:y:2011:i:3:p:401-409
    DOI: 10.1016/j.insmatheco.2011.06.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167668711000758
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.insmatheco.2011.06.002?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. Jeremy I. Bulow & Randall Morck & Lawrence H. Summers, 1987. "How Does the Market Value Unfunded Pension Liabilities?," NBER Chapters, in: Issues in Pension Economics, pages 81-110, National Bureau of Economic Research, Inc.
    2. Jeffrey R. Brown, 2008. "Guaranteed Trouble: The Economic Effects of the Pension Benefit Guaranty Corporation," Journal of Economic Perspectives, American Economic Association, vol. 22(1), pages 177-198, Winter.
    3. Pennacchi, George G & Lewis, Christopher M, 1994. "The Value of Pension Benefit Guaranty Corporation Insurance," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 26(3), pages 735-753, August.
    4. Jin, Li & Merton, Robert C. & Bodie, Zvi, 2006. "Do a firm's equity returns reflect the risk of its pension plan?," Journal of Financial Economics, Elsevier, vol. 81(1), pages 1-26, July.
    5. Nielson, Norma L. & Chan, David K. W., 2007. "Private pensions and government guarantees: clues from Canada," Journal of Pension Economics and Finance, Cambridge University Press, vol. 6(1), pages 45-66, March.
    6. 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.
    7. Feldstein, Martin & Seligman, Stephanie, 1981. "Pension Funding, Share Prices, and National Savings," Journal of Finance, American Finance Association, vol. 36(4), pages 801-824, September.
    8. Bodie, Zvi & Shoven, John B. & Wise, David A. (ed.), 1987. "Issues in Pension Economics," National Bureau of Economic Research Books, University of Chicago Press, edition 1, number 9780226062846, September.
    9. Alan Marcus, 1987. "Corporate Pension Policy and the Value of PBGC Insurance," NBER Chapters, in: Issues in Pension Economics, pages 49-80, National Bureau of Economic Research, Inc.
    10. Joshua D. Rauh, 2006. "Investment and Financing Constraints: Evidence from the Funding of Corporate Pension Plans," Journal of Finance, American Finance Association, vol. 61(1), pages 33-71, February.
    11. Fiona Stewart, 2007. "Benefit Security Pension Fund Guarantee Schemes," OECD Working Papers on Insurance and Private Pensions 5, OECD Publishing.
    12. Zvi Bodie & John B. Shoven & David A. Wise, 1987. "Issues in Pension Economics," NBER Books, National Bureau of Economic Research, Inc, number bodi87-1.
    13. Sharpe, William F., 1976. "Corporate pension funding policy," Journal of Financial Economics, Elsevier, vol. 3(3), pages 183-193, June.
    14. David W. Wilcox, 2006. "Reforming the Defined-Benefit Pension System," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 37(1), pages 235-304.
    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. Qian, Linyi & Shen, Yang & Wang, Wei & Yang, Zhixin, 2019. "Valuation of risk-based premium of DB pension plan with terminations," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 51-63.
    2. 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.
    3. Chen, An & Uzelac, Filip, 2014. "A risk-based premium: What does it mean for DB plan sponsors?," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 1-11.
    4. Dirk Broeders & An Chen & Birgit Koos, 2014. "Utility-equivalence of pension security mechanisms," DNB Working Papers 414, Netherlands Central Bank, Research Department.

    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. Qian, Linyi & Shen, Yang & Wang, Wei & Yang, Zhixin, 2019. "Valuation of risk-based premium of DB pension plan with terminations," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 51-63.
    2. Chen, An & Uzelac, Filip, 2014. "A risk-based premium: What does it mean for DB plan sponsors?," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 1-11.
    3. Joshua Rauh, 2007. "Risk Shifting versus Risk Management: Investment Policy in Corporate Pension Plans," NBER Working Papers 13240, National Bureau of Economic Research, Inc.
    4. Coronado, Julia & Mitchell, Olivia S. & Sharpe, Steven A. & Blake Nesbitt, S., 2008. "Footnotes aren't enough: the impact of pension accounting on stock values," Journal of Pension Economics and Finance, Cambridge University Press, vol. 7(3), pages 257-276, November.
    5. 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.
    6. Cotter, John & Blake, David & Dowd, Kevin, 2006. "Financial Risks and the Pension Protection Fund: Can it Survive Them?," MPRA Paper 3498, University Library of Munich, Germany.
    7. Paul J. M. Klumpes & Kevin McMeeking, 2007. "Stock Market Sensitivity to U.K. Firms' Pension Discounting Assumptions," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 10(2), pages 221-246, September.
    8. Romaniuk, Katarzyna, 2021. "Pension insurance schemes and moral hazard: The Pension Benefit Guaranty Corporation should restrict the insured pension plans’ portfolio policy," The Quarterly Review of Economics and Finance, Elsevier, vol. 82(C), pages 37-43.
    9. An, Heng & Huang, Zhaodan & Zhang, Ting, 2013. "What determines corporate pension fund risk-taking strategy?," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 597-613.
    10. Thomas Crossley & Mario Jametti, 2013. "Pension Benefit Insurance and Pension Plan Portfolio Choice," The Review of Economics and Statistics, MIT Press, vol. 95(1), pages 337-341, March.
    11. Boon, L.N. & Brière, M. & Rigot, S., 2018. "Regulation and pension fund risk-taking," Journal of International Money and Finance, Elsevier, vol. 84(C), pages 23-41.
    12. Almaghrabi, Khadija S., 2023. "Non‐operating risk and cash holdings: Evidence from pension risk," Journal of Banking & Finance, Elsevier, vol. 152(C).
    13. Rauh, Joshua D. & Stefanescu, Irina & Zeldes, Stephen P., 2020. "Cost saving and the freezing of corporate pension plans," Journal of Public Economics, Elsevier, vol. 188(C).
    14. Takashi Obinata, 2002. "Concept and Relevance of Income," CIRJE F-Series CIRJE-F-171, CIRJE, Faculty of Economics, University of Tokyo.
    15. Nakajima, Kan & Sasaki, Takafumi, 2010. "Unfunded pension liabilities and stock returns," Pacific-Basin Finance Journal, Elsevier, vol. 18(1), pages 47-63, January.
    16. Atanasova, Christina & Hrazdil, Karel, 2010. "Why do healthy firms freeze their defined-benefit pension plans?," Global Finance Journal, Elsevier, vol. 21(3), pages 293-303.
    17. Dirk Broeders & An Chen, 2013. "Pension Benefit Security: A Comparison of Solvency Requirements, a Pension Guarantee Fund, and Sponsor Support," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(2), pages 239-272, June.
    18. repec:dau:papers:123456789/13624 is not listed on IDEAS
    19. Julia Lynn Coronado & Steven A. Sharpe, 2003. "Did Pension Plan Accounting Contribute to a Stock Market Bubble?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 323-371.
    20. Francesco Franzoni & José M. Marín, 2006. "Pension Plan Funding and Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 61(2), pages 921-956, April.
    21. Robert Holzmann & Robert Palacios & Asta Zviniene, 2001. "On the Economics and Scope of Implicit Pension Debt: An International Perspective," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 28(1), pages 97-129, March.

    More about this item

    Keywords

    Pension insurance; PBGC; Defined benefit plan; Correlation; Sponsor support;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

    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:eee:insuma:v:49:y:2011:i:3:p:401-409. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505554 .

    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.