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Adverse Selection in the Annuity Market when Payoffs Vary over the Time of Retirement

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  • Johann K. Brunner
  • Susanne Pech

Abstract

This paper investigates the effect of adverse selection and price competition on the private annuity market in a model with two retirement periods. In this framework annuity companies can offer contracts with different payoffs over the periods of retirement. Varying the time structure of the payoffs affects annuity demand and welfare of individuals with low and high life expectancy in different ways. By this, annuity purchasers can be separated according to their survival probabilities. Our main finding is that a Nash-Cournot equilibrium may not exist; if one exists, it will be a separating equilibrium. On the other hand, even if a separating equilibrium does not exist, a Wilson pooling equilibrium exists.

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Bibliographic Info

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 412.

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Date of creation: 2001
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Handle: RePEc:ces:ceswps:_412

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Keywords: Annuity markets; adverse selection; uncertain lifetimes; pooling equilibrium; separating equilibrium;

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References

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  1. Peter Townley & Robin Boadway, 1986. "Social Security and the Failure of Annuity Markets," Working Papers 652, Queen's University, Department of Economics.
  2. Benjamin M. Friedman & Mark Warshawsky, 1988. "Annuity Prices and Saving Behavior in the United States," NBER Chapters, in: Pensions in the U.S. Economy, pages 53-84 National Bureau of Economic Research, Inc.
  3. Andrew B. Abel, 1985. "Capital Accumulation and Uncertain Lifetimes with Adverse Selection," NBER Working Papers 1664, National Bureau of Economic Research, Inc.
  4. 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.
  5. Eckstein, Zvi & Eichenbaum, Martin & Peled, Dan, 1985. "Uncertain lifetimes and the welfare enhancing properties of annuity markets and social security," Journal of Public Economics, Elsevier, vol. 26(3), pages 303-326, April.
  6. Amy Finkelstein & James Poterba, 1999. "Selection Effects in the Market for Individual Annuities: New Evidence from the United Kingdom," NBER Working Papers 7168, National Bureau of Economic Research, Inc.
  7. Pauly, Mark V, 1974. "Overinsurance and Public Provision of Insurance: The Roles of Moral Hazard and Adverse Selection," The Quarterly Journal of Economics, MIT Press, vol. 88(1), pages 44-62, February.
  8. Rothschild, Michael & Stiglitz, Joseph E, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, MIT Press, vol. 90(4), pages 630-49, November.
  9. Walliser, Jan, 2000. " Adverse Selection in the Annuities Market and the Impact of Privatizing Social Security," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(3), pages 373-93, June.
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Cited by:
  1. Johann Brunner & Susanne Pech, 2006. "Adverse selection in the annuity market with sequential and simultaneous insurance demand," The Geneva Papers on Risk and Insurance Theory, Springer, vol. 31(2), pages 111-146, December.
  2. Susanne Pech, 2004. "Portfolio decisions on life annuities and financial assets with longevity and income uncertainty," Economics working papers 2004-14, Department of Economics, Johannes Kepler University Linz, Austria.
  3. Johann K. Brunner & Susanne Pech, 2006. "Optimum Taxation of Life Annuities," CESifo Working Paper Series 1642, CESifo Group Munich.
  4. Johann K. Brunner & Susanne Pech, 2001. "Die Dritte Säule der Altersvorsorge," Economics working papers 2001-09, Department of Economics, Johannes Kepler University Linz, Austria.
  5. Finkelstein, Amy & Poterba, James & Rothschild, Casey, 2009. "Redistribution by insurance market regulation: Analyzing a ban on gender-based retirement annuities," Journal of Financial Economics, Elsevier, vol. 91(1), pages 38-58, January.
  6. Susanne Pech, 2002. "Tax incentives for private life annuities and the social security reform: Effects on consumption and on adverse selection," Economics working papers 2002-09, Department of Economics, Johannes Kepler University Linz, Austria.
  7. Susanne Pech, 2004. "Adverse Selection with individual- and joint-life annuities," Economics working papers 2004-12, Department of Economics, Johannes Kepler University Linz, Austria.

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