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Linking retirement age to life expectancy does not lessen the demographic implications of unequal lifespans

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  • Alvarez, Jesús-Adrián
  • Kallestrup-Lamb, Malene
  • Kjærgaard, Søren

Abstract

The fact that individuals are living longer and thus spending more time in retirement challenges the sustainability of pension systems. This has forced policy makers to rethink the design of pension plans to mitigate the burden of increased longevity. Countries such as the Netherlands, Estonia, Denmark and Finland have implemented reforms that link retirement age to changes in life expectancy. However, the demographic and financial implications of such linkages are not well understood. This study analyses the Danish case, using high-quality data from population registers during the period 1985-2016. We identify trends in demographic and actuarial measures after retirement by sex and socio-economic group. We also introduce a new decomposition method to disentangle the demographic sources of socio-economic disparities in pension costs per year of expected benefits. We reach two main results. First, linking retirement age to life expectancy increases uncertainty about length of life after retirement, with the financial cost becoming more sensitive to changes in mortality. Second, socio-economic disparities in lifespans persist regardless of the age at which individuals retire. Males from lower socio-economic groups are at a greater disadvantage, because they spend fewer years in retirement, pay higher pension costs per year of expected benefits and are exposed to higher longevity risk than the rest of the population. This disadvantageous setting is magnified when retirement age is linked to life expectancy.

Suggested Citation

  • Alvarez, Jesús-Adrián & Kallestrup-Lamb, Malene & Kjærgaard, Søren, 2021. "Linking retirement age to life expectancy does not lessen the demographic implications of unequal lifespans," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 363-375.
    • Handle: RePEc:eee:insuma:v:99:y:2021:i:c:p:363-375
    DOI: 10.1016/j.insmatheco.2021.04.010
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    as
    1. Kevin Dowd & Andrew Cairns & David Blake & Guy Coughlan & Marwa Khalaf-Allah, 2011. "A Gravity Model of Mortality Rates for Two Related Populations," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(2), pages 334-356.
    2. Rafal Chomik & Edward Whitehouse, 2010. "Trends in Pension Eligibility Ages and Life Expectancy, 1950-2050," OECD Social, Employment and Migration Working Papers 105, OECD Publishing.
    3. Jeffrey B. Liebman, 2002. "Redistribution in the Current U.S. Social Security System," NBER Chapters, in: The Distributional Aspects of Social Security and Social Security Reform, pages 11-48, National Bureau of Economic Research, Inc.
    4. Duncan, G.J. & Daly, M.C. & McDonough, P. & Williams, D.R., 2002. "Optimal indicators of socioeconomic status for health research," American Journal of Public Health, American Public Health Association, vol. 92(7), pages 1151-1157.
    5. Jennifer Alonso-García & María del Carmen Boado-Penas & Pierre Devolder, 2018. "Adequacy, fairness and sustainability of pay-as-you-go-pension-systems: defined benefit versus defined contribution," The European Journal of Finance, Taylor & Francis Journals, vol. 24(13), pages 1100-1122, September.
    6. Isaac Sasson, 2016. "Trends in Life Expectancy and Lifespan Variation by Educational Attainment: United States, 1990–2010," Demography, Springer;Population Association of America (PAA), vol. 53(2), pages 269-293, April.
    7. repec:ces:ifodic:v:13:y:2015:i:2:p:19166293 is not listed on IDEAS
    8. Malene Kallestrup‐Lamb & Søren Kjærgaard & Carsten P. T. Rosenskjold, 2020. "Insight into stagnating adult life expectancy: Analyzing cause of death patterns across socioeconomic groups," Health Economics, John Wiley & Sons, Ltd., vol. 29(12), pages 1728-1743, December.
    9. Sanchez-Romero, Miguel & Lee, Ronald D. & Prskawetz, Alexia, 2020. "Redistributive effects of different pension systems when longevity varies by socioeconomic status," The Journal of the Economics of Ageing, Elsevier, vol. 17(C).
    10. Jeffrey R. Brown, 2003. "Redistribution and Insurance: Mandatory Annuitization With Mortality Heterogeneity," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 70(1), pages 17-41, March.
    11. 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.
    12. Jeffrey Brown, 2002. "Differential Mortality and the Value of Individual Account Retirement Annuities," NBER Chapters, in: The Distributional Aspects of Social Security and Social Security Reform, pages 401-446, National Bureau of Economic Research, Inc.
    13. Nicholas Barr & Peter Diamond, 2006. "The Economics of Pensions," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 22(1), pages 15-39, Spring.
    14. Aronsson, Thomas & Blomquist, Sören, 2018. "Uncertain Length of Life, Retirement Age, and Optimal Pension Design," Umeå Economic Studies 957, Umeå University, Department of Economics.
    15. repec:nas:journl:v:115:y:2018:p:11209-11214 is not listed on IDEAS
    16. Balter, Anne G. & Kallestrup-Lamb, Malene & Rangvid, Jesper, 2020. "Variability in pension products: a comparison study between The Netherlands and Denmark," Annals of Actuarial Science, Cambridge University Press, vol. 14(2), pages 338-357, September.
    17. Arnberg, Søren & Barslund, Mikkel, 2014. "The Crowding-out Effect of Mandatory Labour Market Pension Schemes on Private Savings: Evidence from renters in Denmark," CEPS Papers 8911, Centre for European Policy Studies.
    18. Camarda, Carlo G., 2012. "MortalitySmooth: An R Package for Smoothing Poisson Counts with P-Splines," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 50(i01).
    19. Noreen Goldman & Graham Lord, 1986. "A new look at entropy and the life table," Demography, Springer;Population Association of America (PAA), vol. 23(2), pages 275-282, May.
    20. Torben M. Andersen, 2015. "Robustness of the Danish Pension System," ifo DICE Report, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 13(02), pages 25-30, August.
    21. Feldstein, Martin & Liebman, Jeffrey B. (ed.), 2002. "The Distributional Aspects of Social Security and Social Security Reform," National Bureau of Economic Research Books, University of Chicago Press, edition 1, number 9780226241067, September.
    22. Martin Feldstein & Jeffrey B. Liebman, 2002. "The Distributional Aspects of Social Security and Social Security Reform," NBER Books, National Bureau of Economic Research, Inc, number feld02-1.
    23. Edward Whitehouse, 2007. "Life-Expectancy Risk and Pensions: Who Bears the Burden?," OECD Social, Employment and Migration Working Papers 60, OECD Publishing.
    24. Milevsky, Moshe A., 2020. "Swimming with wealthy sharks: longevity, volatility and the value of risk pooling," Journal of Pension Economics and Finance, Cambridge University Press, vol. 19(2), pages 217-246, April.
    25. Pascariu, Marius D. & Canudas-Romo, Vladimir & Vaupel, James W., 2018. "The double-gap life expectancy forecasting model," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 339-350.
    26. Roland Rau & Eugeny Soroko & Domantas Jasilionis & James W. Vaupel, 2008. "Continued Reductions in Mortality at Advanced Ages," Population and Development Review, The Population Council, Inc., vol. 34(4), pages 747-768, December.
    27. Cairns, Andrew J.G. & Kallestrup-Lamb, Malene & Rosenskjold, Carsten & Blake, David & Dowd, Kevin, 2019. "Modelling Socio-Economic Differences In Mortality Using A New Affluence Index," ASTIN Bulletin, Cambridge University Press, vol. 49(3), pages 555-590, September.
    28. Holzmann, Robert & Alonso-García, Jennifer & Labit-Hardy, Heloise & Villegas, Andres M., 2017. "NDC Schemes and Heterogeneity in Longevity: Proposals for Redesign," IZA Discussion Papers 11193, Institute of Labor Economics (IZA).
    29. James Vaupel & Vladimir Romo, 2003. "Decomposing change in life expectancy: A bouquet of formulas in honor of Nathan Keyfitz’s 90th birthday," Demography, Springer;Population Association of America (PAA), vol. 40(2), pages 201-216, May.
    30. Torben M. Andersen, 2015. "Robustness of the Danish Pension System," ifo DICE Report, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 13(2), pages 25-30, 08.
    31. Tomasz F Wrycza & Trifon I Missov & Annette Baudisch, 2015. "Quantifying the Shape of Aging," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-18, March.
    32. Nan Li & Ronald Lee, 2005. "Coherent mortality forecasts for a group of populations: An extension of the lee-carter method," Demography, Springer;Population Association of America (PAA), vol. 42(3), pages 575-594, August.
    33. Peter Diamond & Nicholas Barr, 2006. "(UBS Pensions Series 041) The Economics of Pensions," FMG Discussion Papers dp563, Financial Markets Group.
    34. Haberman, Steven & Khalaf-Allah, Marwa & Verrall, Richard, 2011. "Entropy, longevity and the cost of annuities," Insurance: Mathematics and Economics, Elsevier, vol. 48(2), pages 197-204, March.
    35. Alonso-Garcia, Jennifer & Boado-Penas, Maria del Carmen & Devolder, Pierre, 2018. "Adequacy, fairness and sustainability of pay-as-you-go-pension-systems: defined benefit versus defined contribution," LIDAM Reprints ISBA 2018026, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    36. Hári, Norbert & De Waegenaere, Anja & Melenberg, Bertrand & Nijman, Theo E., 2008. "Longevity risk in portfolios of pension annuities," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 505-519, April.
    37. Anthony Medford, 2017. "Best-practice life expectancy: An extreme value approach," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 36(34), pages 989-1014.
    38. Andrés Villegas & Steven Haberman, 2014. "On the Modeling and Forecasting of Socioeconomic Mortality Differentials: An Application to Deprivation and Mortality in England," North American Actuarial Journal, Taylor & Francis Journals, vol. 18(1), pages 168-193.
    39. 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.
    40. Jose Manuel Aburto & Jesús-Adrián Alvarez & Francisco Villavicencio & James W. Vaupel, 2019. "The threshold age of the lifetable entropy," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 41(4), pages 83-102.
    41. Fernandez, Oscar E. & Beltrán-Sánchez, Hiram, 2015. "The entropy of the life table: A reappraisal," Theoretical Population Biology, Elsevier, vol. 104(C), pages 26-45.
    42. Duncan, G.J. & Daly, M.C. & McDonogh, P. & Williams, D.R., 2002. "Erratum: Optimal indicators of socioeconomic status for health research (American Journal of Public Health (2002) 92 (1151-1157))," American Journal of Public Health, American Public Health Association, vol. 92(8), pages 1212-1212.
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    2. Strozza, Cosmo & Vigezzi, Serena & Callaway, Julia & Kashnitsky, Ilya & Aleksandrovs, Aleksandrs & Vaupel, James W, 2022. "Socioeconomic inequalities in survival to retirement age or shortly afterwards: a register-based analysis," OSF Preprints 8wbdv, Center for Open Science.
    3. Aaskoven, Maiken Skovrider & Lauridsen, Jørgen T. & Kjær, Trine, 2024. "Live longer, work longer? An investigation of the health capacity to work at older ages in Denmark using combined register and survey data," Journal for Labour Market Research, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany], vol. 58, pages 1-2.

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    More about this item

    Keywords

    Danish pension system; Longevity; Socio-economic disparities; Lifespan inequality; Pensions; Mortality heterogeneity;
    All these keywords.

    JEL classification:

    • J26 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Retirement; Retirement Policies
    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions

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