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A dynamic equivalence principle for systematic longevity risk management

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  • Hanbali, Hamza
  • Denuit, Michel
  • Dhaene, Jan
  • Trufin, Julien

Abstract

This paper addresses systematic longevity risk in long-term insurance business. We analyze the consequences of working under unknown survival probabilities on the efficiency of the Law of Large Numbers and point out the need for appropriate and feasible risk management techniques. We propose a setting for risk sharing schemes between the insurer and policyholders via a dynamic equivalence principle. We focus on a pure endowment contract and derive conditions for a viable risk sharing scheme which enhances the solvency situation of the insurer while being more favorably priced for the policyholders.
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Suggested Citation

  • Hanbali, Hamza & Denuit, Michel & Dhaene, Jan & Trufin, Julien, 2019. "A dynamic equivalence principle for systematic longevity risk management," LIDAM Reprints ISBA 2019009, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    • Handle: RePEc:aiz:louvar:2019009
    Note: In : Insurance: Mathematics and Economics, vol. 86, p. 158-167 (2019)
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    1. Dahl, Mikkel, 2004. "Stochastic mortality in life insurance: market reserves and mortality-linked insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 35(1), pages 113-136, August.
    2. Michel Denuit & Steven Haberman & Arthur Renshaw, 2011. "Longevity-Indexed Life Annuities," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(1), pages 97-111.
    3. John Piggott & Emiliano A. Valdez & Bettina Detzel, 2005. "The Simple Analytics of a Pooled Annuity Fund," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(3), pages 497-520, September.
    4. Elisa Luciano & Luca Regis & Elena Vigna, 2017. "Single- and Cross-Generation Natural Hedging of Longevity and Financial Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(3), pages 961-986, September.
    5. Dhaene, Jan & Godecharle, Els & Antonio, Katrien & Denuit, Michel & Hanbali, Hamza, 2017. "Lifelong Health Insurance Covers With Surrender Values: Updating Mechanisms In The Presence Of Medical Inflation," ASTIN Bulletin, Cambridge University Press, vol. 47(3), pages 803-836, September.
    6. Michel Denuit & Jan Dhaene & Hamza Hanbali & Nathalie Lucas & Julien Trufin, 2016. "Updating mechanism for lifelong insurance contracts subject to medical inflation," Working Papers Department of Accountancy, Finance and Insurance (AFI), Leuven 544624, KU Leuven, Faculty of Economics and Business (FEB), Department of Accountancy, Finance and Insurance (AFI), Leuven.
    7. Denuit, Michel & Haberman, Steven & Renshaw, Arthur, 2011. "Longevity-indexed life annuities," LIDAM Reprints ISBA 2011024, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    8. Andreas Richter & Frederik Weber, 2011. "Mortality-Indexed Annuities Managing Longevity Risk Via Product Design," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(2), pages 212-236.
    9. David Blake & Andrew Cairns & Guy Coughlan & Kevin Dowd & Richard MacMinn, 2013. "The New Life Market," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 501-558, September.
    10. Valdez, Emiliano A. & Piggott, John & Wang, Liang, 2006. "Demand and adverse selection in a pooled annuity fund," Insurance: Mathematics and Economics, Elsevier, vol. 39(2), pages 251-266, October.
    11. Milevsky, Moshe A. & Salisbury, Thomas S., 2016. "Equitable Retirement Income Tontines: Mixing Cohorts Without Discriminating," ASTIN Bulletin, Cambridge University Press, vol. 46(3), pages 571-604, September.
    12. M. A. Milevsky & S. D. Promislow & V. R. Young, 2006. "Killing the Law of Large Numbers: Mortality Risk Premiums and the Sharpe Ratio," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 673-686, December.
    13. Samuel Cox & Yijia Lin, 2007. "Natural Hedging of Life and Annuity Mortality Risks," North American Actuarial Journal, Taylor & Francis Journals, vol. 11(3), pages 1-15.
    14. Feng, Runhuan & Shimizu, Yasutaka, 2016. "Applications of central limit theorems for equity-linked insurance," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 138-148.
    15. Martin Weale & Justin van de Ven, 2016. "Variable Annuities and Aggregate Mortality Risk," National Institute Economic Review, National Institute of Economic and Social Research, vol. 237(1), pages 55-61, August.
    16. Pitacco, Ermanno & Denuit, Michel & Haberman, Steven & Olivieri, Annamaria, 2009. "Modelling Longevity Dynamics for Pensions and Annuity Business," OUP Catalogue, Oxford University Press, number 9780199547272, Decembrie.
    17. Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla & Vasily Kartashov, 2013. "Lifecycle Portfolio Choice With Systematic Longevity Risk and Variable Investment—Linked Deferred Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 649-676, September.
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    3. Chen, An & Hieber, Peter & Rach, Manuel, 2021. "Optimal retirement products under subjective mortality beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 55-69.

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