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Risk aversion and the utility of annuities

Author

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  • Giacomo Ponzetto

    (Harvard University)

Abstract

A well-known result in life-cycle models with uncertain lifetime is that, absent other sources of uncertainty, egoistic agents should annuitize all their wealth. The gain from access to an annuity market, as measured by the increase in non-annuitized wealth required to obtain the same utility level, has repeatedly been shown to be a positive function of risk aversion in expected-utility models. This paper extends the analysis by considering the recursive utility function introduced by Epstein and Zin. By disentangling risk aversion from the elasticity of intertemporal substitution it is shown that the utility value of annuitization is decreasing with both parameters. The classical Yaari result that access to a fair annuity market leads to the same consumption dynamics as in the certainty scenario is also shown to obtain only in the expected-utility case.

Suggested Citation

  • Giacomo Ponzetto, 2003. "Risk aversion and the utility of annuities," CeRP Working Papers 31, Center for Research on Pensions and Welfare Policies, Turin (Italy).
  • Handle: RePEc:crp:wpaper:31
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    Cited by:

    1. Hippolyte d’Albis & Emmanuel Thibault, 2018. "Ambiguous life expectancy and the demand for annuities," Theory and Decision, Springer, vol. 85(3), pages 303-319, October.
    2. Antoine Bommier & François Grand, 2014. "Too risk averse to purchase insurance?," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 135-166, April.
    3. Antoine Bommier, Francois Le Grand, "undated". "Too Risk Averse to Purchase Insurance? A Theoretical Glance at the Annuity Puzzle," Working Papers ETH-RC-12-002, ETH Zurich, Chair of Systems Design.
    4. Carlos Vidal-Melia & Ana Lejárraga-García, 2004. "The Bequest Motive And Single People’S Demand For Life Annuities," Public Economics 0405005, University Library of Munich, Germany.

    More about this item

    Keywords

    Annuity market; risk;

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