Longevity risk in pension annuities with exchange options: The effect of product design
AbstractWe consider defined benefit pension plans that, at retirement age, allow the participant to choose between a single life annuity and a joint and survivor annuity. We compare two plans that differ in terms of how pension rights are accrued. In one plan, the participant accrues the right to receive a single life annuity, and can exchange that annuity for an actuarially equivalent joint and survivor annuity at retirement date. The opposite holds in the other plan. We show that both plans are affected by longevity risk in two ways. First, the participants' choices at retirement age affect the ratio of survivor benefits over single life benefits, and, therefore, affect the natural hedge potential that arises from combining single life and survivor annuities. Second, uncertainty in the rate at which the participant will be allowed to exchange one type of annuity for the other at retirement date induces uncertainty in the level of the nominal rights for single life and survivor annuities, respectively. We compare the two plans, and show that longevity risk is substantially lower in case rights are accrued in the form of a joint and survivor annuity.
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Bibliographic InfoArticle provided by Elsevier in its journal Insurance: Mathematics and Economics.
Volume (Year): 46 (2010)
Issue (Month): 1 (February)
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- Olivieri, Annamaria, 2001. "Uncertainty in mortality projections: an actuarial perspective," Insurance: Mathematics and Economics, Elsevier, vol. 29(2), pages 231-245, October.
- Koissi, Marie-Claire & Shapiro, Arnold F. & Hognas, Goran, 2006. "Evaluating and extending the Lee-Carter model for mortality forecasting: Bootstrap confidence interval," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 1-20, February.
- 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.
- Li Gan & Guan Gong, 2005.
"Subjective Morality Risks and Bequests,"
2005 Meeting Papers
900, Society for Economic Dynamics.
- Daniel S. Hamermesh, 1982.
"Expectations, Life Expectancy, and Economic Behavior,"
NBER Working Papers
0835, National Bureau of Economic Research, Inc.
- Hamermesh, Daniel S, 1985. "Expectations, Life Expectancy, and Economic Behavior," The Quarterly Journal of Economics, MIT Press, vol. 100(2), pages 389-408, May.
- Li Gan & Michael D. Hurd & Daniel L. McFadden, 2005.
"Individual Subjective Survival Curves,"
in: Analyses in the Economics of Aging, pages 377-412
National Bureau of Economic Research, Inc.
- Martin Salm, 2006.
"Can subjective mortality expectations and stated preferences explain varying consumption and saving behaviors among the elderly?,"
MEA discussion paper series
06111, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
- Salm, Martin, 2006. "Can Subjective Mortality Expectations and Stated Preferences Explain Varying Consumption and Saving Behaviors among the Elderly?," IZA Discussion Papers 2467, Institute for the Study of Labor (IZA).
- Olivieri, Annamaria & Pitacco, Ermanno, 2003. "Solvency requirements for pension annuities," Journal of Pension Economics and Finance, Cambridge University Press, vol. 2(02), pages 127-157, July.
- 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.
- 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.
- 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.
- David Blake & Christophe Courbage & Richard MacMinn & Michael Sherris, 2011.
"Longevity Risk and Capital Markets: The 2010–2011 Update,"
The Geneva Papers on Risk and Insurance - Issues and Practice,
Palgrave Macmillan, vol. 36(4), pages 489-500, October.
- Blake, David & Courbage, Christophe & MacMinn, Richard & Sherris, Michael, 2011. "Longevity risks and capital markets: The 2010-2011 update," MPRA Paper 34279, University Library of Munich, Germany.
- Blake, David & Brockett, Patrick & Cox, Samuel & MacMinn, Richard, 2011. "Longevity risk and capital markets: The 2009-2010 update," MPRA Paper 28868, University Library of Munich, Germany.
- Anja De Waegenaere & Bertrand Melenberg & Ralph Stevens, 2010.
Springer, vol. 158(2), pages 151-192, June.
- Lin, Tzuling & Tsai, Cary Chi-Liang, 2013. "On the mortality/longevity risk hedging with mortality immunization," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 580-596.
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