IDEAS home Printed from https://ideas.repec.org/a/red/issued/06-155.html
   My bibliography  Save this article

Consumption over the Life Cycle: The Role of Annuities

Author

Listed:
  • Gary Hansen

    (University of California, Los Angeles)

  • Selahattin Imrohoroglu

    (University of Southern California)

Abstract

We explore the quantitative implications of uncertainty about the length of life and a lack of annuity markets for life cycle consumption in a general equilibrium overlapping generations model in which markets are otherwise complete. Empirical studies find that consumption displays a hump shape over the life cycle. Our model exhibits life cycle consumption that is consistent with this pattern. Our calibrated model, which includes an unfunded social security system, displays a hump shape but the peak occurs later in the life cycle than in the data. Adding a bequest motive causes this decline to begin at a younger age. (Copyright: Elsevier)

Suggested Citation

  • Gary Hansen & Selahattin Imrohoroglu, 2008. "Consumption over the Life Cycle: The Role of Annuities," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(3), pages 566-583, July.
    • Handle: RePEc:red:issued:06-155
    DOI: 10.1016/j.red.2007.12.004
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1016/j.red.2007.12.004
    Download Restriction: Access to full texts is restricted to ScienceDirect subscribers and institutional members. See http://www.sciencedirect.com/ for details.
    File URL: https://libkey.io/10.1016/j.red.2007.12.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Attanasio, Orazio P & Browning, Martin, 1995. "Consumption over the Life Cycle and over the Business Cycle," American Economic Review, American Economic Association, vol. 85(5), pages 1118-1137, December.
    2. Jesus Fernández-Villaverde & Dirk Krueger, 2007. "Consumption over the Life Cycle: Facts from Consumer Expenditure Survey Data," The Review of Economics and Statistics, MIT Press, vol. 89(3), pages 552-565, August.
    3. Eric French, 2004. "The Labor Supply Response to (Mismeasured but) Predictable Wage Changes," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 602-613, May.
    4. Hansen, G D, 1993. "The Cyclical and Secular Behaviour of the Labour Input: Comparing Efficiency Units and Hours Worked," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(1), pages 71-80, Jan.-Marc.
    5. José-Víctor Ríos-Rull, 1996. "Life-Cycle Economies and Aggregate Fluctuations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 465-489.
    6. Attanasio, Orazio P, et al, 1999. "Humps and Bumps in Lifetime Consumption," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(1), pages 22-35, January.
    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.
    8. 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.
    9. Davies, James B, 1981. "Uncertain Lifetime, Consumption, and Dissaving in Retirement," Journal of Political Economy, University of Chicago Press, vol. 89(3), pages 561-577, June.
    10. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
    11. Fernández-Villaverde, Jesús & Krueger, Dirk, 2011. "Consumption And Saving Over The Life Cycle: How Important Are Consumer Durables?," Macroeconomic Dynamics, Cambridge University Press, vol. 15(5), pages 725-770, November.
    12. Benjamin M. Friedman & Mark J. Warshawsky, 1990. "The Cost of Annuities: Implications for Saving Behavior and Bequests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 135-154.
    13. Mariacristina De Nardi & Selahattin Imrohoroglu & Thomas J. Sargent, 1999. "Projected U.S. Demographics and Social Security," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(3), pages 575-615, July.
    14. Laurence J. Kotlikoff & Kent Smetters & Jan Walliser, 1999. "Privatizing Social Security in the U.S. -- Comparing the Options," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(3), pages 532-574, July.
    15. 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 265-281, April.
    16. Imrohoroglu, Ayse & Imrohoroglu, Selahattin & Joines, Douglas H, 1995. "A Life Cycle Analysis of Social Security," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 83-114, June.
    17. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    18. Thurow, Lester C, 1969. "The Optimum Lifetime Distribution of Consumption Expenditures," American Economic Review, American Economic Association, vol. 59(3), pages 324-330, June.
    19. 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.
    20. Heckman, James J, 1974. "Life Cycle Consumption and Labor Supply: An Explanation of the Relationship Between Income and Consumption Over the Life Cycle," American Economic Review, American Economic Association, vol. 64(1), pages 188-194, March.
    21. Mark Aguiar & Erik Hurst, 2004. "Consumption vs. Expenditure," NBER Working Papers 10307, National Bureau of Economic Research, Inc.
    22. Barro, Robert J & Friedman, James W, 1977. "On Uncertain Lifetimes," Journal of Political Economy, University of Chicago Press, vol. 85(4), pages 843-849, August.
    23. Feigenbaum, James, 2008. "Can mortality risk explain the consumption hump?," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 844-872, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gary D. Hansen, "undated". "Consumption over the Life Cycle: The Role of Annuities (with Selo Imrohoroglu)," UCLA Economics Online Papers 417, UCLA Department of Economics.
    2. Han, Nan-Wei & Hung, Mao-Wei, 2021. "The annuity puzzle and consumption hump under ambiguous life expectancy," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 76-88.
    3. Hugo Benitez-Silva, 2000. "A Dynamic Model Of Labor Supply, Consumption/Saving, And Annuity Decisions Under Uncertainty," Computing in Economics and Finance 2000 128, Society for Computational Economics.
    4. Hugo Benítez-Silva, 2003. "The Annuity Puzzle Revisited," Working Papers wp055, University of Michigan, Michigan Retirement Research Center.
    5. Feigenbaum James A. & Li Geng, 2012. "Life Cycle Dynamics of Income Uncertainty and Consumption," The B.E. Journal of Macroeconomics, De Gruyter, vol. 12(1), pages 1-49, May.
    6. Kraft, Holger & Munk, Claus & Seifried, Frank Thomas & Steffensen, Mogens, 2014. "Consumption and wage humps in a life-cycle model with education," SAFE Working Paper Series 53, Leibniz Institute for Financial Research SAFE.
    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.
    8. James Feigenbaum & Geng Li, 2008. "Lifecycle Dynamics of Income Uncertainty and Consumption," Working Paper 360, Department of Economics, University of Pittsburgh, revised Jul 2008.
    9. Feigenbaum, James, 2008. "Can mortality risk explain the consumption hump?," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 844-872, September.
    10. Caliendo, Frank & Huang, Kevin X.D., 2008. "Overconfidence and consumption over the life cycle," Journal of Macroeconomics, Elsevier, vol. 30(4), pages 1347-1369, December.
    11. Hugo Benitez-Silva, 2000. "A Joint Model of Labor Supply and Consumption Decisions Under Uncertainty," Econometric Society World Congress 2000 Contributed Papers 0196, Econometric Society.
    12. Holger Kraft & Claus Munk & Frank Thomas Seifried & Sebastian Wagner, 2017. "Consumption habits and humps," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 305-330, August.
    13. Frank Caliendo & Kevin X. D. Huang, 2007. "Overconfidence in financial markets and consumption over the life cycle," Working Papers 07-3, Federal Reserve Bank of Philadelphia.
    14. Caliendo, Frank & Aadland, David, 2007. "Short-term planning and the life-cycle consumption puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1392-1415, April.
    15. Kevin X.D. Huang & Frank Caliendo, 2007. "Rationalizing Seven Consumption-Saving Puzzles in a Unified Framework," Vanderbilt University Department of Economics Working Papers 0716, Vanderbilt University Department of Economics.
    16. Bagchi, Shantanu, 2015. "Labor supply and the optimality of Social Security," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 167-185.
    17. Park, Hyeon & Feigenbaum, James, 2018. "Bounded rationality, lifecycle consumption, and Social Security," Journal of Economic Behavior & Organization, Elsevier, vol. 146(C), pages 65-105.
    18. Park, Hyeon, 2023. "Bounded rationality and optimal retirement age," Journal of Economic Dynamics and Control, Elsevier, vol. 154(C).
    19. Halliday, Timothy J. & He, Hui & Ning, Lei & Zhang, Hao, 2019. "Health Investment Over The Life-Cycle," Macroeconomic Dynamics, Cambridge University Press, vol. 23(1), pages 178-215, January.
    20. Park, Hyeon, 2023. "A general equilibrium model of dynamic loss aversion," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 107(C).

    More about this item

    Keywords

    Life cycle consumption; General equilibrium; Annuity markets; Social security; Bequests;
    All these keywords.

    JEL classification:

    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:red:issued:06-155. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christian Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.