Advanced Search
MyIDEAS: Login to save this paper or follow this series

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

Contents:

Author Info

  • Hugo Benitez-Silva

    ()

Registered author(s):

    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.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://www.sunysb.edu/economics/research/papers/2000/00-06.pdf
    Download Restriction: no

    Bibliographic Info

    Paper provided by Stony Brook University, Department of Economics in its series Department of Economics Working Papers with number 00-06.

    as in new window
    Length: 45
    Date of creation: 2000
    Date of revision:
    Handle: RePEc:nys:sunysb:00-06

    Contact details of provider:
    Postal: Stony Brook, NY 11794-4384
    Phone: (631)632-7540
    Fax: (631)632-7516
    Email:
    Web page: http://www.stonybrook.edu/economics
    More information through EDIRC

    Related research

    Keywords: Life Cycle Models; Consumption and Savings; Annuities; Social Security; Labor Supply;

    Find related papers by JEL classification:

    This paper has been announced in the following NEP Reports:

    References

    References listed on IDEAS
    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.:
    as in new window
    1. Martin S. Eichenbaum & Dan S. Peled, 1986. "Capital Accumulation and Annuities in an Adverse Selection Economy," NBER Working Papers 2046, National Bureau of Economic Research, Inc.
    2. Kotlikoff, Laurence J & Spivak, Avia, 1981. "The Family as an Incomplete Annuities Market," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 372-91, April.
    3. Eric French, 2000. "The labor supply response to (mismeasured but) predictable wage changes," Working Paper Series WP-00-8, Federal Reserve Bank of Chicago.
    4. MaCurdy, Thomas E, 1981. "An Empirical Model of Labor Supply in a Life-Cycle Setting," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1059-85, December.
    5. Martin Browning & Annamaria Lusardi, 1995. "Household Saving: Micro Theories and Micro Facts," Department of Economics Working Papers 1995-02, McMaster University.
    6. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
    7. Hurd, Michael D, 1987. "Savings of the Elderly and Desired Bequests," American Economic Review, American Economic Association, vol. 77(3), pages 298-312, June.
    8. Kotlikoff, Laurence J & Summers, Lawrence H, 1981. "The Role of Intergenerational Transfers in Aggregate Capital Accumulation," Journal of Political Economy, University of Chicago Press, vol. 89(4), pages 706-32, August.
    9. Orazio P. Attanasio & Guglielmo Weber, 1994. "Is Consumption Growth Consistent with Intertemporal Optimization? Evidence from the Consumer Expenditure Survey," NBER Working Papers 4795, National Bureau of Economic Research, Inc.
    10. Carroll, Christopher D. & Samwick, Andrew A., 1997. "The nature of precautionary wealth," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 41-71, September.
    11. Kotlikoff, Laurence J, 1979. "Testing the Theory of Social Security and Life Cycle Accumulation," American Economic Review, American Economic Association, vol. 69(3), pages 396-410, June.
    12. Laurence J. Kotlikoff & John B. Shoven & Avia Spivak, 1983. "Annuity Markets, Savings, and the Capital Stock," NBER Working Papers 1250, National Bureau of Economic Research, Inc.
    13. Hurd, Michael D, 1989. "Mortality Risk and Bequests," Econometrica, Econometric Society, vol. 57(4), pages 779-813, July.
    14. Banks, James & Blundell, Richard & Tanner, Sarah, 1998. "Is There a Retirement-Savings Puzzle?," American Economic Review, American Economic Association, vol. 88(4), pages 769-88, September.
    15. Zeldes, Stephen P, 1989. "Consumption and Liquidity Constraints: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 97(2), pages 305-46, April.
    16. Engen, Eric & Gale, William & Uccello, Cori, 1999. "The Adequacy of Household Saving," MPRA Paper 56442, University Library of Munich, Germany.
    17. Leora Friedberg, 2000. "The Labor Supply Effects of the Social Security Earnings Test," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 48-63, February.
    18. Eric French, 2005. "The Effects of Health, Wealth, and Wages on Labour Supply and Retirement Behaviour," Review of Economic Studies, Oxford University Press, vol. 72(2), pages 395-427.
    19. John Laitner & F. Thomas Juster, 1993. "New evidence on altruism: a study of TIAA-CREF retirees," Discussion Paper / Institute for Empirical Macroeconomics 86, Federal Reserve Bank of Minneapolis.
    20. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    21. Christopher D. Carroll, 1992. "How does future income affect current consumption?," Working Paper Series / Economic Activity Section 126, Board of Governors of the Federal Reserve System (U.S.).
    22. Hakansson, Nils H, 1970. "Optimal Investment and Consumption Strategies Under Risk for a Class of Utility Functions," Econometrica, Econometric Society, vol. 38(5), pages 587-607, September.
    23. Mark Huggett & Gustavo Ventura, 1999. "On the Distributional Effects of Social Security Reform," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(3), pages 498-531, July.
    24. Thurow, Lester C, 1969. "The Optimum Lifetime Distribution of Consumption Expenditures," American Economic Review, American Economic Association, vol. 59(3), pages 324-30, June.
    25. Jeffrey Brown, 2001. "Are the Elderly Really Over-Annuitized? New Evidence on Life Insurance and Bequests," NBER Chapters, in: Themes in the Economics of Aging, pages 91-126 National Bureau of Economic Research, Inc.
    26. Laurence J. Kotlikoff & Kent A. Smetters & Jan Walliser, 1998. "Social Security: Privatization and Progressivity," NBER Working Papers 6428, National Bureau of Economic Research, Inc.
    27. R. Glenn Hubbard & Jonathan Skinner & Stephen P. Zeldes, 1993. "The Importance of Precautionary Motives in Explaining Individual and Aggregate Saving," NBER Working Papers 4516, National Bureau of Economic Research, Inc.
    28. Brown, Jeffrey R., 2001. "Private pensions, mortality risk, and the decision to annuitize," Journal of Public Economics, Elsevier, vol. 82(1), pages 29-62, October.
    29. Stephen Zeldes, . "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," Rodney L. White Center for Financial Research Working Papers 20-86, Wharton School Rodney L. White Center for Financial Research.
    30. Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 239-46, August.
    31. Zvi Bodie & William Samuelson, 1989. "Labor Supply Flexibility and Portfolio Choice," NBER Working Papers 3043, National Bureau of Economic Research, Inc.
    32. Brugiavini, Agar, 1993. "Uncertainty resolution and the timing of annuity purchases," Journal of Public Economics, Elsevier, vol. 50(1), pages 31-62, January.
    33. B. Douglas Bernheim, 1987. "Dissaving after Retirement: Testing the Pure Life Cycle Hypothesis," NBER Chapters, in: Issues in Pension Economics, pages 237-280 National Bureau of Economic Research, Inc.
    34. Friedman, Benjamin M & Warshawsky, Mark J, 1990. "The Cost of Annuities: Implications for Saving Behavior and Bequests," The Quarterly Journal of Economics, MIT Press, vol. 105(1), pages 135-54, February.
    35. R. Glenn Hubbard, 1987. "Uncertain Lifetimes, Pensions, and Individual Saving," NBER Chapters, in: Issues in Pension Economics, pages 175-210 National Bureau of Economic Research, Inc.
    36. Alessie, Rob & Lusardi, Annamaria, 1997. "Consumption, saving and habit formation," Economics Letters, Elsevier, vol. 55(1), pages 103-108, August.
    37. Modigliani, Franco, 1988. "The Role of Intergenerational Transfers and Life Cycle Saving in the Accumulation of Wealth," Journal of Economic Perspectives, American Economic Association, vol. 2(2), pages 15-40, Spring.
    38. Davies, James B, 1981. "Uncertain Lifetime, Consumption, and Dissaving in Retirement," Journal of Political Economy, University of Chicago Press, vol. 89(3), pages 561-77, June.
    39. Jonathan S. Skinner, 1987. "Risky Income, Life Cycle Consumption, and Precautionary Savings," NBER Working Papers 2336, National Bureau of Economic Research, Inc.
    40. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-96, March.
    41. Wilhelm, M.O., 1990. "Bequest Behavior And The Effect Of Heirs' Earnings: Testing The Altruistic Model Of Bequests," Papers 9-90-12, Pennsylvania State - Department of Economics.
    42. William M. Gentry & Joseph Milano, 1998. "Taxes and Investment in Annuities," NBER Working Papers 6525, National Bureau of Economic Research, Inc.
    43. Benjamin M. Friedman & Mark Warshawsky, 1985. "The Cost of Annuities: Implications for Saving Behavior and Bequests," NBER Working Papers 1682, National Bureau of Economic Research, Inc.
    44. James M. Poterba, 1998. "Population Age Structure and Asset Returns: An Empirical Investigation," NBER Working Papers 6774, National Bureau of Economic Research, Inc.
    45. Nagatani, Keizo, 1972. "Life Cycle Saving: Theory and Fact," American Economic Review, American Economic Association, vol. 62(3), pages 344-53, June.
    46. B. Douglas Bernheim, 1992. "How Strong are Bequest Motives? Evidence Based on Estimates of the Demand for Life Insurance and Annuities," NBER Working Papers 2942, National Bureau of Economic Research, Inc.
    47. Lusardi, Annamaria, 1998. "On the Importance of the Precautionary Saving Motive," American Economic Review, American Economic Association, vol. 88(2), pages 449-53, May.
    48. Feldstein, Martin S, 1974. "Social Security, Induced Retirement, and Aggregate Capital Accumulation," Journal of Political Economy, University of Chicago Press, vol. 82(5), pages 905-26, Sept./Oct.
    49. Levhari, David & Srinivasan, T N, 1969. "Optimal Savings under Uncertainty," Review of Economic Studies, Wiley Blackwell, vol. 36(106), pages 153-63, April.
    50. Alessie, Rob & Lusardi, Annamaria, 1997. "Saving and income smoothing: Evidence from panel data," European Economic Review, Elsevier, vol. 41(7), pages 1251-1279, July.
    51. Seater, John J., 1977. "A unified model of consumption, labor supply, and job search," Journal of Economic Theory, Elsevier, vol. 14(2), pages 349-372, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:nys:sunysb:00-06. 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 you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.