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A Dynamic Model of Labor Supply, Consumption/Saving, and Annuity Decisions under Uncertainty

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  • Hugo Benitez-Silva

Abstract

This paper presents a dynamic model of labor/leisure, consumption/saving and annuity decisions over the life cycle. Such a dynamic model provides a framework for considering important policy experiments related to the reforms in Social Security. We address the role of labor supply in a life cyle utility maximization model, extending the classical optimal lifetime consumption problem under uncertainty first formalized in Phelps (1962) and later in Hakansson (1970). We introduce the labor decision in the finite horizon consumption/saving problem and solve numerically the stochastic dynamic programming utility maximization problem of the individual. Analytical solutions are infeasible when the individual is maximizing utility over consumption and leisure, given non-linear marginal utility. We illustrate how such a model captures changes in labor supply over the life cycle and show that simulated consumption and wealth accumulation paths are consistent with empirical evidence. We also present a model of endogenously determined annuities for the consumption/saving and labor/leisure framework with capital uncertainty in the presence of bequest motives and Social Security. This provides new insights into the ``annuity puzzle'' and the effects of Social Security on labor supply and welfare.

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  • Hugo Benitez-Silva, 2000. "A Dynamic Model of Labor Supply, Consumption/Saving, and Annuity Decisions under Uncertainty," Department of Economics Working Papers 00-06, Stony Brook University, Department of Economics.
    • Handle: RePEc:nys:sunysb:00-06
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    Cited by:

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    2. Eric French & John Jones, 2012. "Public pensions and labor supply over the life cycle," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 19(2), pages 268-287, April.
    3. Francesco Menoncin & Sergio Vergalli, 2021. "Optimal stopping time, consumption, labour, and portfolio decision for a pension scheme," Journal of Economics, Springer, vol. 132(1), pages 67-98, January.
    4. Blundell, R. & French, E. & Tetlow, G., 2016. "Retirement Incentives and Labor Supply," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 457-566, Elsevier.
    5. Hugo Benitez-Silva, 2001. "A Dynamic Model of Job Search Behavior over the Life Cycle with Empirical Applications," Computing in Economics and Finance 2001 100, Society for Computational Economics.
    6. Songül Tolan, 2017. "The Effect of Partial Retirement on Labor Supply, Public Balances and the Income Distribution: Evidence from a Structural Analysis," Discussion Papers of DIW Berlin 1679, DIW Berlin, German Institute for Economic Research.
    7. Bullard, James & Feigenbaum, James, 2007. "A leisurely reading of the life-cycle consumption data," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2305-2320, November.

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    More about this item

    Keywords

    Life Cycle Models; Consumption and Savings; Annuities; Social Security; Labor Supply;
    All these keywords.

    JEL classification:

    • J14 - Labor and Demographic Economics - - Demographic Economics - - - Economics of the Elderly; Economics of the Handicapped; Non-Labor Market Discrimination
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • D0 - Microeconomics - - General

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