Capital Accumulation and Uncertain Lifetimes with Adverse Selection
This paper examines the implications of adverse selection in the private annuity market for the pricing of private annuities and the consequent effects on constrption and bequest behavior. With privately known heterogeneous mortality probabilities, adverse selection causes the rate of return on private annuities to be less than the actuarially fair rate based on population average mortality. However, a fully funded social security system with compulsory participation can offer an implied rate of return equal to the actuarially fair rate based on population average mortality. Thus, since social security offers a higher rate of return than private annuities, consumers cannot completely offset the effects of social security by transacting in the private annuity market. Using an overlapping generations model with uncertain lifetimes, we demonstrate that the introduction of actuarially fair social security reduces the steady state rate of return on annuities and raises the steady state levels of average bequests and average consumption of the young. The steady state national capital stock rises or falls according to the strength of the bequest motive.
|Date of creation:||Jul 1985|
|Date of revision:|
|Publication status:||published as Abel, Andrew B. "Capital Accumulation and Uncertain Lifetimes with Adverse Selection." Econometrica, Vol. 54, No. 5, (September 1986), pp. 1079-1097.|
|Contact details of provider:|| Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.|
Web page: http://www.nber.org
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Eytan Sheshinski & Yoram Weiss, 1981.
"Uncertainty and Optimal Social Security Systems,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 96(2), pages 189-206.
- Laurence J. Kotlikoff & Avia Spivak, 1979.
"The Family as an Incomplete Annuities Market,"
UCLA Economics Working Papers
151, UCLA Department of Economics.
- Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
- Zvi Eckstein & Martin S. Eichenbaum & Dan Peled, 1985. "The Distribution of Wealth and Welfare in the Presence of Incomplete Annuity Markets," The Quarterly Journal of Economics, Oxford University Press, vol. 100(3), pages 789-806.
- Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, Oxford University Press, vol. 90(4), pages 629-649.
- Drazen, Allan, 1978. "Government Debt, Human Capital, and Bequests in a Life-Cycle Model," Journal of Political Economy, University of Chicago Press, vol. 86(3), pages 505-16, June.
- Levhari, David & Mirman, Leonard J, 1977. "Savings and Consumption with an Uncertain Horizon," Journal of Political Economy, University of Chicago Press, vol. 85(2), pages 265-81, April.
- Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-91, September.
- Fischer, Stanley, 1973. "A Life Cycle Model of Life Insurance Purchases," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(1), pages 132-52, February.
- Barro, Robert J & Friedman, James W, 1977.
"On Uncertain Lifetimes,"
Journal of Political Economy,
University of Chicago Press, vol. 85(4), pages 843-49, August.
- Barro, Robert J, 1974.
"Are Government Bonds Net Wealth?,"
Journal of Political Economy,
University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
- Richard, Scott F., 1975. "Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model," Journal of Financial Economics, Elsevier, vol. 2(2), pages 187-203, June.
When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:1664. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If references are entirely missing, you can add them using this form.