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Consumption Over the Life Cycle: The Role of Annuities

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  • Gary D. Hansen
  • Selahattin Imrohoroglu

Abstract

We explore the quantitative implications of uncertainty about the length of life and a lack of annuity markets for life cycle consumption in a general equilibrium overlapping generations model in which markets are otherwise complete. Empirical studies find that consumption tends to rise early in life, peak around age 45-55, and to decline after that. Our calibrated model exhibits life cycle consumption that is consistent with this pattern. This follows from the fact that, due to a lack of annuity markets, households discount the future more heavily as they age and their probability of survival falls. Once an unfunded social security system is introduced, the profile is still hump shaped, but the decline in consumption does not begin until after retirement in our base case. Adding a bequest motive causes this decline to begin at a younger age.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 12341.

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Date of creation: Jun 2006
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Publication status: published as Gary Hansen & Selahattin Imrohoroglu, 2008. "Consumption over the Life Cycle: The Role of Annuities," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(3), pages 566-583, July.
Handle: RePEc:nbr:nberwo:12341

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  17. Feigenbaum, James, 2008. "Can mortality risk explain the consumption hump?," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 844-872, September.
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