Life Is Cheap: Using Mortality Bonds to Hedge Aggregate Mortality Risk
Insurance companies, employer pension plans, and the U.S. government all provide annuities and therefore assume aggregate mortality risk. Using the widely-cited Lee-Carter mortality model, we quantify aggregate mortality risk as the risk that the average annuitant lives longer than is predicted by the model, and we determine that annuities expose providers to substantial risk. We also find that other recent actuarial forecasts lie at the edge or outside of Lee-Carter's 95% confidence interval, suggesting even more uncertainty about future mortality.We then evaluate the implications of aggregate mortality risk for insurance companies; this analysis can be extended to private pension providers and Social Security. Given the forecasts of the Lee-Carter model, we calculate that a markup of 3.9% on an annuity premium (or shareholders' capital equal to 3.9% of the expected present value of annuity payments) would be required to reduce the probability of insolvency resulting from aggregate mortality shocks to 5%, and a markup of 5.7% would reduce the probability of insolvency to 1%. Based on the same model, we find that a projection scale commonly referred to by the insurance industry underestimates aggregate mortality improvements and would leave annuities underpriced.Annuity providers could manage aggregate mortality risk more efficiently by transferring it to financial markets through mortality-contingent bonds. We calculate the returns that one recently proposed mortality bond would have paid had it been available over a long period. Using both the Capital and the Consumption Capital Asset Pricing Models, we determine the risk premium that investors would have required to hold the bond. At plausible coefficients of risk aversion, annuity providers should be able to hedge aggregate mortality risk via such bonds at very low cost.
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Volume (Year): 7 (2007)
Issue (Month): 1 (July)
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- Brown, Jeffrey R. & Cummins, J. David & Lewis, Christopher M. & Wei, Ran, 2004.
"An empirical analysis of the economic impact of federal terrorism reinsurance,"
Journal of Monetary Economics,
Elsevier, vol. 51(5), pages 861-898, July.
- Jeffrey R. Brown & J. David Cummins & Christopher M. Lewis & Ran Wei, 2004. "An Empirical Analysis of the Economic Impact of Federal Terrorism Reinsurance," NBER Working Papers 10388, National Bureau of Economic Research, Inc.
- Mehra, Rajnish & Prescott, Edward C., 2003.
"The equity premium in retrospect,"
Handbook of the Economics of Finance,
in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 14, pages 889-938
- 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.
- Thomas Davidoff & Jeffrey R. Brown & Peter A. Diamond, 2003.
"Annuities and Individual Welfare,"
NBER Working Papers
9714, National Bureau of Economic Research, Inc.
- Jeffrey R. Brown & Olivia S. Mitchell & James M. Poterba, 2000. "Mortality Risk, Inflation Risk, and Annuity Products," NBER Working Papers 7812, National Bureau of Economic Research, Inc.
- Olivia S. Mitchell & James M. Poterba & Mark J. Warshawsky, 1997.
"New Evidence on the Money's Worth of Individual Annuities,"
NBER Working Papers
6002, National Bureau of Economic Research, Inc.
- Olivia S. Mitchell, 1999. "New Evidence on the Money's Worth of Individual Annuities," American Economic Review, American Economic Association, vol. 89(5), pages 1299-1318, December.
- Olivia S. Mitchell & James M. Poterba & Mark J. Warshawsky, . "New Evidence on the Money's Worth of Individual Annuities," Pension Research Council Working Papers 97-9, Wharton School Pension Research Council, University of Pennsylvania.
- Ronald Lee & Timothy Miller, 2001. "Evaluating the performance of the lee-carter method for forecasting mortality," Demography, Springer, vol. 38(4), pages 537-549, November.
- Shenyi Jiang & Wei Sun & Anthony Webb, 2011.
"Did the Housing Boom Increase Household Spending?,"
Issues in Brief
ib2011-10, Center for Retirement Research, revised Aug 2011.
- Kevin Dowd, 2003. "Survivor Bonds: A Comment on Blake and Burrows," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 70(2), pages 339-348.
- 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.
- 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.
- Andrew J. G. Cairns & David Blake & Kevin Dowd, 2006. "A Two-Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 687-718.
- Dowd, Kevin & Cairns, Andrew J.G. & Blake, David, 2006. "Mortality-dependent financial risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 427-440, June.
- Renshaw, A. E. & Haberman, S., 2003. "Lee-Carter mortality forecasting with age-specific enhancement," Insurance: Mathematics and Economics, Elsevier, vol. 33(2), pages 255-272, October.
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