Longevity risk in pension annuities with exchange options: The effect of product design
We 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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- 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.
- 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).
- 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.
- Olivieri, Annamaria, 2001. "Uncertainty in mortality projections: an actuarial perspective," Insurance: Mathematics and Economics, Elsevier, vol. 29(2), pages 231-245, October.
- Gan, Li & Gong, Guan & Hurd, Michael & McFadden, Daniel, 2015. "Subjective mortality risk and bequests," Journal of Econometrics, Elsevier, vol. 188(2), pages 514-525.
- Li Gan & Guan Gong & Michael Hurd & Daniel McFadden, 2004. "Subjective Mortality Risk and Bequests," NBER Working Papers 10789, National Bureau of Economic Research, Inc.
- Li Gan & Guan Gong, 2005. "Subjective Morality Risks and Bequests," 2005 Meeting Papers 900, Society for Economic Dynamics.
- Daniel S. Hamermesh, 1985. "Expectations, Life Expectancy, and Economic Behavior," The Quarterly Journal of Economics, Oxford University Press, vol. 100(2), pages 389-408.
- Daniel S. Hamermesh, 1982. "Expectations, Life Expectancy, and Economic Behavior," NBER Working Papers 0835, National Bureau of Economic Research, Inc.
- 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.
- Li Gan & Michael D. Hurd & Daniel L. McFadden, 2005. "Individual Subjective Survival Curves," NBER Chapters,in: Analyses in the Economics of Aging, pages 377-412 National Bureau of Economic Research, Inc.
- Li Gan & Michael Hurd & Daniel McFadden, 2003. "Individual Subjective Survival Curves," NBER Working Papers 9480, National Bureau of Economic Research, Inc.
- 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.
- Jeffrey R. Brown & James M. Poterba, 1999. "Joint Life Annuities and Annuity Demand by Married Couples," NBER Working Papers 7199, National Bureau of Economic Research, Inc.
- 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.
- 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. Full references (including those not matched with items on IDEAS)