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Post schooling human capital investments and the life cycle variance of earnings

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  • Magnac, Thierry
  • Pistolesi, Nicolas
  • Roux, Sébastien

Abstract

We propose an original model of human capital investments after leaving school in which individuals differ in their initial human capital obtained at school, their rate of return, their costs of human capital investments and their terminal values of human capital at a fixed date in the future. We derive a tractable reduced form Mincerian model of log earnings profiles along the life cycle which is written as a linear factor model in which levels, growth and curvature of earnings profiles are individual-specific. Using panel data from a single cohort of French male wage earners observed over a long span of 30 years, a random effect model is estimated first by pseudo maximum likelihood methods. This step is followed by a simple second step fixed effect method by which individual-specific structural parameters are estimated. This allows us to test restrictions, compute counterfactual profiles and evaluate how earnings inequality over the life-cycle is affected by changes in structural parameters. Under some conditions, even small changes in life expectancy seem to imply large changes in earnings inequality.

Suggested Citation

  • Magnac, Thierry & Pistolesi, Nicolas & Roux, Sébastien, 2013. "Post schooling human capital investments and the life cycle variance of earnings," TSE Working Papers 13-380, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:26787
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    1. Stéphane Bonhomme & Jean-Marc Robin, 2009. "Assessing the Equalizing Force of Mobility Using Short Panels: France, 1990-2000," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 63-92.
    2. Alvarez, Javier & Arellano, Manuel, 2022. "Robust likelihood estimation of dynamic panel data models," Journal of Econometrics, Elsevier, vol. 226(1), pages 21-61.
    3. Fatih Guvenen, 2009. "An Empirical Investigation of Labor Income Processes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(1), pages 58-79, January.
    4. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09j008g6g0g is not listed on IDEAS
    5. Lillard, Lee A & Willis, Robert J, 1978. "Dynamic Aspects of Earning Mobility," Econometrica, Econometric Society, vol. 46(5), pages 985-1012, September.
    6. Heckman, James J & Lochner, Lance & Taber, Christopher, 1998. "General-Equilibrium Treatment Effects: A Study of Tuition Policy," American Economic Review, American Economic Association, vol. 88(2), pages 381-386, May.
    7. Robert Moffitt & Peter Gottschalk, 2008. "Trends in the Transitory Variance of Male Earnings in the U.S., 1970-2004," Boston College Working Papers in Economics 697, Boston College Department of Economics.
    8. 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.
    9. Thierry Magnac & Sébastien Roux, 2009. "Dynamique des salaires dans une cohorte," Economie & Prévision, La Documentation Française, vol. 0(1), pages 1-24.
    10. Stéphane Bonhomme & Jean-Marc Robin, 2010. "Generalized Non-Parametric Deconvolution with an Application to Earnings Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 491-533.
    11. Fabien Postel-Vinay & Hélène Turon, 2010. "On-The-Job Search, Productivity Shocks, And The Individual Earnings Process," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(3), pages 599-629, August.
    12. Flavio Cunha & James Heckman & Salvador Navarro, 2005. "Separating uncertainty from heterogeneity in life cycle earnings," Oxford Economic Papers, Oxford University Press, vol. 57(2), pages 191-261, April.
    13. Martin Browning & Mette Ejrnæs & Javier Alvarez, 2010. "Modelling Income Processes with Lots of Heterogeneity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(4), pages 1353-1381.
    14. Fatih Guvenen & Burhanettin Kuruscu, 2012. "Understanding The Evolution Of The Us Wage Distribution: A Theoretical Analysis," Journal of the European Economic Association, European Economic Association, vol. 10(3), pages 482-517, May.
    15. Joseph G. Altonji & Anthony A. Smith Jr. & Ivan Vidangos, 2013. "Modeling Earnings Dynamics," Econometrica, Econometric Society, vol. 81(4), pages 1395-1454, July.
    16. 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.
    17. L. Hospido, 2012. "Modelling heterogeneity and dynamics in the volatility of individual wages," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(3), pages 386-414, April.
    18. 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 of Labor Economics (IZA).
    19. Javier Alvarez & Manuel Arellano, 2003. "The Time Series and Cross-Section Asymptotics of Dynamic Panel Data Estimators," Econometrica, Econometric Society, vol. 71(4), pages 1121-1159, July.
    20. Mincer, Jacob, 1997. "The Production of Human Capital and the Life Cycle of Earnings: Variations on a Theme," Journal of Labor Economics, University of Chicago Press, vol. 15(1), pages 26-47, January.
    21. Geert Dhaene & Koen Jochmans, 2011. "An Adjusted profile likelihood for non-stationary panel data models with fixed effects," SciencePo Working papers Main hal-01073732, HAL.
    22. Lillard, Lee A & Weiss, Yoram, 1979. "Components of Variation in Panel Earnings Data: American Scientists, 1960-70," Econometrica, Econometric Society, vol. 47(2), pages 437-454, March.
    23. Keisuke Hirano, 2002. "Semiparametric Bayesian Inference in Autoregressive Panel Data Models," Econometrica, Econometric Society, vol. 70(2), pages 781-799, March.
    24. 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.
    25. Flavio Cunha & James J. Heckman & Susanne M. Schennach, 2010. "Estimating the Technology of Cognitive and Noncognitive Skill Formation," Econometrica, Econometric Society, vol. 78(3), pages 883-931, May.
    26. MaCurdy, Thomas E., 1982. "The use of time series processes to model the error structure of earnings in a longitudinal data analysis," Journal of Econometrics, Elsevier, vol. 18(1), pages 83-114, January.
    27. Manuel Arellano & Stéphane Bonhomme, 2012. "Identifying Distributional Characteristics in Random Coefficients Panel Data Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(3), pages 987-1020.
    28. Jinyong Hahn & Guido Kuersteiner, 2002. "Asymptotically Unbiased Inference for a Dynamic Panel Model with Fixed Effects when Both "n" and "T" Are Large," Econometrica, Econometric Society, vol. 70(4), pages 1639-1657, July.
    29. Jacob A. Mincer, 1974. "Schooling, Experience, and Earnings," NBER Books, National Bureau of Economic Research, Inc, number minc74-1.
    30. Timm Bönke & Giacomo Corneo & Holger Lüthen, 2015. "Lifetime Earnings Inequality in Germany," Journal of Labor Economics, University of Chicago Press, vol. 33(1), pages 171-208.
    31. Fatih Guvenen, 2007. "Learning Your Earning: Are Labor Income Shocks Really Very Persistent?," American Economic Review, American Economic Association, vol. 97(3), pages 687-712, June.
    32. Baker, Michael, 1997. "Growth-Rate Heterogeneity and the Covariance Structure of Life-Cycle Earnings," Journal of Labor Economics, University of Chicago Press, vol. 15(2), pages 338-375, April.
    33. Geweke, John & Keane, Michael, 2000. "An empirical analysis of earnings dynamics among men in the PSID: 1968-1989," Journal of Econometrics, Elsevier, vol. 96(2), pages 293-356, June.
    34. Dickens, Richard, 2000. "The Evolution of Individual Male Earnings in Great Britain: 1975-95," Economic Journal, Royal Economic Society, vol. 110(460), pages 27-49, January.
    35. Adriaan S. Kalwij & Rob Alessie, 2007. "Permanent and transitory wages of British men, 1975-2001: year, age and cohort effects," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(6), pages 1063-1093.
    36. Sylvie Le Minez & Sébastien Roux, 2002. "Les différences de carrières salariales à partir du premier emploi," Économie et Statistique, Programme National Persée, vol. 351(1), pages 31-63.
    37. Costas Meghir & Luigi Pistaferri, 2004. "Income Variance Dynamics and Heterogeneity," Econometrica, Econometric Society, vol. 72(1), pages 1-32, January.
    38. Hsiao, Cheng & Hashem Pesaran, M. & Kamil Tahmiscioglu, A., 2002. "Maximum likelihood estimation of fixed effects dynamic panel data models covering short time periods," Journal of Econometrics, Elsevier, vol. 109(1), pages 107-150, July.
    39. Joel L. Horowitz & Marianthi Markatou, 1996. "Semiparametric Estimation of Regression Models for Panel Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 145-168.
    40. Lorenzo Cappellari, 2004. "The Dynamics and Inequality of Italian Men’s Earnings: Long-term Changes or Transitory Fluctuations?," Journal of Human Resources, University of Wisconsin Press, vol. 39(2).
    41. 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(4), pages 352-352.
    42. Sologon, Denisa Maria & O'Donoghue, Cathal, 2009. "Earnings Dynamics and Inequality among Men across 14 EU Countries, 1994-2001: Evidence from ECHP," IZA Discussion Papers 4012, Institute of Labor Economics (IZA).
    43. Aakvik, Arild & Heckman, James J. & Vytlacil, Edward J., 2005. "Estimating treatment effects for discrete outcomes when responses to treatment vary: an application to Norwegian vocational rehabilitation programs," Journal of Econometrics, Elsevier, vol. 125(1-2), pages 15-51.
    44. Robert A. Moffitt & Peter Gottschalk, 2002. "Trends in the Transitory Variance of Earnings in the United States," Economic Journal, Royal Economic Society, vol. 112(478), pages 68-73, March.
    45. Abowd, John M & Card, David, 1989. "On the Covariance Structure of Earnings and Hours Changes," Econometrica, Econometric Society, vol. 57(2), pages 411-445, March.
    46. Card, David, 2001. "Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems," Econometrica, Econometric Society, vol. 69(5), pages 1127-1160, September.
    47. Jacob A. Mincer, 1974. "Schooling and Earnings," NBER Chapters, in: Schooling, Experience, and Earnings, pages 41-63, National Bureau of Economic Research, Inc.
    48. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09ij4oge90i is not listed on IDEAS
    49. Okui, Ryo, 2009. "The optimal choice of moments in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 151(1), pages 1-16, July.
    50. Dmytro Hryshko, 2012. "Labor income profiles are not heterogeneous: Evidence from income growth rates," Quantitative Economics, Econometric Society, vol. 3(2), pages 177-209, July.
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    3. Bussink, Henri & ter Weel, Bas, 2022. "Costs and Benefits of an Individual Learning Account (ILA): A Simulation Analysis for the Netherlands," IZA Discussion Papers 15649, Institute of Labor Economics (IZA).
    4. Anders Stenberg & Olle Westerlund, 2013. "Education and retirement: does University education at mid-age extend working life?," IZA Journal of European Labor Studies, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 2(1), pages 1-22, December.
    5. Christian Belzil & Jorgen Hansen & Xingfei Liu, 2017. "Dynamic skill accumulation, education policies, and the return to schooling," Quantitative Economics, Econometric Society, vol. 8(3), pages 895-927, November.
    6. Judith Niehues & Andreas Peichl, 2014. "Upper bounds of inequality of opportunity: theory and evidence for Germany and the US," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 73-99, June.
    7. Claire Lebarz, 2015. "Income Inequality and Household Debt Distribution: A Cross-Country Analysis using Wealth Surveys," LWS Working papers 20, LIS Cross-National Data Center in Luxembourg.

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    More about this item

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials

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