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Pension regulation and the market value of pension liabilities: A contingent claims analysis using Parisian options

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  • Broeders, Dirk
  • Chen, An

Abstract

We analyze the market-consistent valuation of pension liabilities in a contingent claim framework whereby a knock-out barrier feature is applied to capture early regulatory closure of a pension plan. We investigate two cases which we call "immediate closure procedure" and "delayed closure procedure". In an immediate closure procedure, when the assets value hits the regulatory boundary, the pension plan is terminated immediately. Whereas in a delayed closure procedure, a grace period is given to the pension fund for reorganization and recovery before premature closure is executed. The framework is then used to construct fair pension deals. Furthermore, we provide rules for deriving the optimal recovery period in pension regulation using utility analysis and interconnect the recovery period to the regulatory liquidation probability.

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  • 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.
    • Handle: RePEc:eee:jbfina:v:34:y:2010:i:6:p:1201-1214
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    Cited by:

    1. 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.
    2. Chen, An & Nguyen, Thai & Stadje, Mitja, 2018. "Optimal investment under VaR-Regulation and Minimum Insurance," Insurance: Mathematics and Economics, Elsevier, vol. 79(C), pages 194-209.
    3. 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.
    4. Horneff, Wolfram & Maurer, Raimond & Rogalla, Ralph, 2010. "Dynamic portfolio choice with deferred annuities," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2652-2664, November.
    5. Almaghrabi, Khadija S., 2023. "Non‐operating risk and cash holdings: Evidence from pension risk," Journal of Banking & Finance, Elsevier, vol. 152(C).
    6. Frank Bosserhoff & An Chen & Nils Sorensen & Mitja Stadje, 2021. "On the Investment Strategies in Occupational Pension Plans," Papers 2104.08956, arXiv.org.
    7. Chen, An, 2011. "A risk-based model for the valuation of pension insurance," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 401-409.
    8. 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).
    9. 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.
    10. Dirk Broeders & Paul Hilbers & David Rijsbergen & Ningli Shen, 2014. "What Drives Pension Indexation in Turbulent Times? An Empirical Examination of Dutch Pension Funds," De Economist, Springer, vol. 162(1), pages 41-70, March.
    11. 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.
    12. 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.
    13. 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.

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