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Do actuaries believe in longevity deceleration?

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  • Debonneuil, Edouard
  • Loisel, Stéphane
  • Planchet, Frédéric

Abstract

As more and more people believe that significant life extensions may come soon, should commonly used future mortality assumptions be considered prudent? We find here that commonly used actuarial tables for annuitants – as well as the Lee–Carter model – do not extrapolate life expectancy at the same rate for future years as for past years; instead they produce some longevity deceleration. This is typically because their mortality improvements decrease after a certain age, and those age-specific improvements are constant over time. As potential alternatives (i) we study the Bongaarts model that produces straight increases in life expectancy; (ii) we adapt it to produce best-practice longevity trends (iii) we compare with various longevity scenarios even including a model for “life extension velocity”. (iv) after gathering advances in biogerontology we discuss elements to help retirement systems cope with a potential strong increase in life expectancy.

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  • Debonneuil, Edouard & Loisel, Stéphane & Planchet, Frédéric, 2018. "Do actuaries believe in longevity deceleration?," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 325-338.
    • Handle: RePEc:eee:insuma:v:78:y:2018:i:c:p:325-338
    DOI: 10.1016/j.insmatheco.2017.09.008
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    1. Cairns, Andrew J.G. & Blake, David & Dowd, Kevin & Coughlan, Guy D. & Epstein, David & Khalaf-Allah, Marwa, 2011. "Mortality density forecasts: An analysis of six stochastic mortality models," Insurance: Mathematics and Economics, Elsevier, vol. 48(3), pages 355-367, May.
    2. David Blake & Andrew Cairns & Kevin Dowd & Richard MacMinn, 2006. "Longevity Bonds: Financial Engineering, Valuation, and Hedging," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 647-672, December.
    3. Yahia Salhi & Stéphane Loisel, 2012. "Basis risk modelling: a co-integration based approach," Working Papers hal-00746859, HAL.
    4. Erika Check Hayden, 2015. "Anti-ageing pill pushed as bona fide drug," Nature, Nature, vol. 522(7556), pages 265-266, June.
    5. Ngai, Andrew & Sherris, Michael, 2011. "Longevity risk management for life and variable annuities: The effectiveness of static hedging using longevity bonds and derivatives," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 100-114, July.
    6. David Blake & Tom Boardman & Andrew Cairns, 2014. "Sharing Longevity Risk: Why Governments Should Issue Longevity Bonds," North American Actuarial Journal, Taylor & Francis Journals, vol. 18(1), pages 258-277.
    7. Olivieri, Annamaria & Pitacco, Ermanno, 2008. "Assessing the cost of capital for longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1013-1021, June.
    8. Hunt, Andrew & Blake, David, 2015. "Modelling longevity bonds: Analysing the Swiss Re Kortis bond," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 12-29.
    9. Stéphane Loisel, 2010. "Understanding, Modeling and Managing Longevity Risk: Key Issues and Main Challenges," Post-Print hal-00517902, HAL.
    10. Wan, Cheng & Bertschi, Ljudmila, 2015. "Swiss coherent mortality model as a basis for developing longevity de-risking solutions for Swiss pension funds: A practical approach," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 66-75.
    11. Aubrey D N J de Grey, 2004. "Escape Velocity: Why the Prospect of Extreme Human Life Extension Matters Now," PLOS Biology, Public Library of Science, vol. 2(6), pages 1-1, June.
    12. Jean-Charles Croix & Frédéric Planchet & Pierre-Emmanuel Thérond, 2013. "Mortality : a statistical approach to detect model misspecification," Post-Print hal-00839339, HAL.
    13. 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.
    14. Barbarin, Jérôme, 2008. "Heath-Jarrow-Morton modelling of longevity bonds and the risk minimization of life insurance portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 41-55, August.
    15. Morton Lane, 2011. "Longevity Risk from the Perspective of the ILS Markets*," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 36(4), pages 501-515, October.
    16. Séverine Arnold & Alexandre Boumezoued & Héloïse Labit Hardy & Nicole El Karoui, 2015. "Cause-of-Death Mortality: What Can Be Learned From Population Dynamics?," Working Papers hal-01157900, HAL.
    17. Alejandro Martin-Montalvo & Evi M. Mercken & Sarah J. Mitchell & Hector H. Palacios & Patricia L. Mote & Morten Scheibye-Knudsen & Ana P. Gomes & Theresa M. Ward & Robin K. Minor & Marie-José Blouin &, 2013. "Metformin improves healthspan and lifespan in mice," Nature Communications, Nature, vol. 4(1), pages 1-9, October.
    18. Erika Check Hayden, 2014. "Pet dogs set to test anti-ageing drug," Nature, Nature, vol. 514(7524), pages 546-546, October.
    19. Evelyn L. Forget, 2011. "The Town with No Poverty: The Health Effects of a Canadian Guaranteed Annual Income Field Experiment," Canadian Public Policy, University of Toronto Press, vol. 37(3), pages 283-305, September.
    20. David E. Fagnan & Jose Maria Fernandez & Andrew W. Lo & Roger M. Stein, 2013. "Can Financial Engineering Cure Cancer?," American Economic Review, American Economic Association, vol. 103(3), pages 406-411, May.
    21. Coughlan, Guy & Khalaf-Allah, Marwa & Ye, Yijing & Kumar, Sumit & Cairns, Andrew & Blake, David & Dowd, Kevin, 2011. "Longevity hedging 101: A framework for longevity basis risk analysis and hedge effectiveness," MPRA Paper 35743, University Library of Munich, Germany.
    22. James W. Vaupel, 2010. "Biodemography of human ageing," Nature, Nature, vol. 464(7288), pages 536-542, March.
    23. 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.
    24. Jennifer L Wang & Ming-hua Hsieh & Yu-fen Chiu, 2011. "Using Reverse Mortgages to Hedge Longevity and Financial Risks for Life Insurers: A Generalised Immunisation Approach," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 36(4), pages 697-717, October.
    25. Pablo Antolin & Hans J. Blommestein, 2007. "Governments and the Market for Longevity-indexed Bonds," Financial Market Trends, OECD Publishing, vol. 2007(1), pages 153-175.
    26. David E. Harrison & Randy Strong & Zelton Dave Sharp & James F. Nelson & Clinton M. Astle & Kevin Flurkey & Nancy L. Nadon & J. Erby Wilkinson & Krystyna Frenkel & Christy S. Carter & Marco Pahor & Ma, 2009. "Rapamycin fed late in life extends lifespan in genetically heterogeneous mice," Nature, Nature, vol. 460(7253), pages 392-395, July.
    27. Bauer, Daniel & Börger, Matthias & Ruß, Jochen, 2010. "On the pricing of longevity-linked securities," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 139-149, February.
    28. Kogure, Atsuyuki & Kurachi, Yoshiyuki, 2010. "A Bayesian approach to pricing longevity risk based on risk-neutral predictive distributions," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 162-172, February.
    29. Nan Zhu & Daniel Bauer, 2014. "A Cautionary Note on Natural Hedging of Longevity Risk," North American Actuarial Journal, Taylor & Francis Journals, vol. 18(1), pages 104-115.
    30. Guy Coughlan & Marwa Khalaf-Allah & Yijing Ye & Sumit Kumar & Andrew Cairns & David Blake & Kevin Dowd, 2011. "Longevity Hedging 101," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(2), pages 150-176.
    31. 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.
    32. Brouhns, Natacha & Denuit, Michel & Vermunt, Jeroen K., 2002. "A Poisson log-bilinear regression approach to the construction of projected lifetables," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 373-393, December.
    33. Nan Li & Ronald Lee & Patrick Gerland, 2013. "Extending the Lee-Carter Method to Model the Rotation of Age Patterns of Mortality Decline for Long-Term Projections," Demography, Springer;Population Association of America (PAA), vol. 50(6), pages 2037-2051, December.
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    Cited by:

    1. Edouard Debonneuil & Anne Eyraud-Loisel & Frédéric Planchet, 2017. "Conditions Of Interest Of A Longevity Megafund For Pension Funds," Working Papers hal-01571937, HAL.
    2. Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.
    3. Jackie Li & Jia Liu, 2020. "A modified extreme value perspective on best-performance life expectancy," Journal of Population Research, Springer, vol. 37(4), pages 345-375, December.
    4. Edouard Debonneuil & Anne Eyraud-Loisel & Frédéric Planchet, 2018. "Can Pension Funds Partially Manage Longevity Risk by Investing in a Longevity Megafund?," Risks, MDPI, vol. 6(3), pages 1-27, July.

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