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Consumption and wage humps in a life-cycle model with education

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Listed:
  • Kraft, Holger
  • Munk, Claus
  • Seifried, Frank Thomas
  • Steffensen, Mogens

Abstract

The observed hump-shaped life-cycle pattern in individuals' consumption cannot be explained by the classical consumption-savings model. We explicitly solve a model with utility of both consumption and leisure and with educational decisions affecting future wages. We show optimal consumption is hump shaped and determine the peak age. The hump results from consumption and leisure being substitutes and from the implicit price of leisure being decreasing over time; more leisure means less education, which lowers future wages, and the present value of foregone wages decreases with age. Consumption is hump shaped whether the wage is hump shaped or increasing over life.

Suggested Citation

  • 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, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.
  • Handle: RePEc:zbw:safewp:53
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    References listed on IDEAS

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    1. Kevin M. Murphy & Finis Welch, 1992. "The Structure of Wages," The Quarterly Journal of Economics, Oxford University Press, vol. 107(1), pages 285-326.
    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. Johnson, Richard W & Neumark, David, 1996. "Wage Declines among Older Men," The Review of Economics and Statistics, MIT Press, vol. 78(4), pages 740-748, November.
    4. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College," NBER Working Papers 9546, National Bureau of Economic Research, Inc.
    5. 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.
    6. Murphy, Kevin M & Welch, Finis, 1990. "Empirical Age-Earnings Profiles," Journal of Labor Economics, University of Chicago Press, vol. 8(2), pages 202-229, April.
    7. Martin Browning & Thomas F. Crossley, 2001. "The Life-Cycle Model of Consumption and Saving," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 3-22, Summer.
    8. Milton Friedman, 1957. "Introduction to "A Theory of the Consumption Function"," NBER Chapters,in: A Theory of the Consumption Function, pages 1-6 National Bureau of Economic Research, Inc.
    9. Jacob A. Mincer, 1974. "Introduction to "Schooling, Experience, and Earnings"," NBER Chapters,in: Schooling, Experience, and Earnings, pages 1-4 National Bureau of Economic Research, Inc.
    10. Carneiro, Pedro & Hansen, Karsten T. & Heckman, James J., 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," IZA Discussion Papers 767, Institute for the Study of Labor (IZA).
    11. Attanasio, Orazio P & Weber, Guglielmo, 1995. "Is Consumption Growth Consistent with Intertemporal Optimization? Evidence from the Consumer Expenditure Survey," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1121-1157, December.
    12. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
    13. Nagatani, Keizo, 1972. "Life Cycle Saving: Theory and Fact," American Economic Review, American Economic Association, vol. 62(3), pages 344-353, June.
    14. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "2001 Lawrence R. Klein Lecture Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 361-422, May.
    15. Annette Alstadsæter, 2011. "Measuring the Consumption Value of Higher Education," CESifo Economic Studies, CESifo, vol. 57(3), pages 458-479, September.
    16. Christopher D. Carroll, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, Oxford University Press, vol. 112(1), pages 1-55.
    17. 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.
    18. Lazear, Edward P, 1977. "Education: Consumption or Production?," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 569-597, June.
    19. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    20. Thurow, Lester C, 1969. "The Optimum Lifetime Distribution of Consumption Expenditures," American Economic Review, American Economic Association, vol. 59(3), pages 324-330, June.
    21. Jacob A. Mincer, 1974. "Schooling, Experience, and Earnings," NBER Books, National Bureau of Economic Research, Inc, number minc74-1, June.
    22. Martin Browning & Mette Ejrnæs, 2009. "Consumption and Children," The Review of Economics and Statistics, MIT Press, vol. 91(1), pages 93-111, February.
    23. Charles Hokayem & James P. Ziliak, 2014. "Health, Human Capital, and Life Cycle Labor Supply," American Economic Review, American Economic Association, vol. 104(5), pages 127-131, May.
    24. Feigenbaum, James, 2008. "Can mortality risk explain the consumption hump?," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 844-872, September.
    25. Orsetta Causa, 2009. "The policy determinants of hours worked across OECD countries," OECD Journal: Economic Studies, OECD Publishing, vol. 2009(1), pages 1-39.
    26. 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.
    27. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters,in: THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472 World Scientific Publishing Co. Pte. Ltd..
    28. Heckman, James J, 1976. "A Life-Cycle Model of Earnings, Learning, and Consumption," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 11-44, August.
    29. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    30. Milton Friedman, 1957. "A Theory of the Consumption Function," NBER Books, National Bureau of Economic Research, Inc, number frie57-1, June.
    31. 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(05), pages 725-770, November.
    32. Donald Meyer & Jack Meyer, 2005. "Relative Risk Aversion: What Do We Know?," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 243-262, December.
    33. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    34. Yoram Ben-Porath, 1967. "The Production of Human Capital and the Life Cycle of Earnings," Journal of Political Economy, University of Chicago Press, vol. 75, pages 352-352.
    35. Williams, Joseph T, 1979. "Uncertainty and the Accumulation of Human Capital over the Life Cycle," The Journal of Business, University of Chicago Press, vol. 52(4), pages 521-548, October.
    36. 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.
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    More about this item

    Keywords

    education; leisure; consumption hump; wage hump;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

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