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A Structural Analysis of the Correlated Random Coefficient Wage Regression Model

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  • Christian Belzil

    (GATE - Groupe d'analyse et de théorie économique - UL2 - Université Lumière - Lyon 2 - ENS LSH - Ecole Normale Supérieure Lettres et Sciences Humaines - CNRS - Centre National de la Recherche Scientifique)

  • Jörgen Hansen

    (Department of Economics - Concordia University [Montreal])

Abstract

We estimate a finite mixture dynamic programming model of schooling decisions in which the log wage regression function is set in a random coefficient framework. We also analyze the determinants of 3 counterfactual experiments (a college attendance subsidy, a high school graduation subsidy and an overall decrease in the rate of time preference) and examine a proposition often claimed in the "Average Treatment Effects" literature; that the discrepancy between OLS and IV estimates of the returns to schooling may be explained by the relatively higher returns experienced by those affected by exogenous policy changes. We find that the average return to experience upon entering the labor market (0.0863) exceeds the average return to schooling (0.0576) and we find more cross-sectional variability in the returns to experience than in the returns to schooling. Labor market skills (as opposed to taste for schooling) appear to be the prime factor explaining schooling attainments. We find little evidence in favor of a positive correlation between reactions induced by an exogenous experiment and the individual specific returns to schooling.

Suggested Citation

  • Christian Belzil & Jörgen Hansen, 2007. "A Structural Analysis of the Correlated Random Coefficient Wage Regression Model," Post-Print halshs-00201350, HAL.
    • Handle: RePEc:hal:journl:halshs-00201350
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00201350v1
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    Cited by:

    1. Zamarro, Gema, 2010. "Accounting for heterogeneous returns in sequential schooling decisions," Journal of Econometrics, Elsevier, vol. 156(2), pages 260-276, June.
    2. Belzil, Christian, 2007. "The return to schooling in structural dynamic models: a survey," European Economic Review, Elsevier, vol. 51(5), pages 1059-1105, July.
    3. Christian Belzil, 2008. "Testing the Specification of the Mincer Wage Equation," Annals of Economics and Statistics, GENES, issue 91-92, pages 427-451.
    4. Ge, Suqin, 2013. "Estimating the returns to schooling: Implications from a dynamic discrete choice model," Labour Economics, Elsevier, vol. 20(C), pages 92-105.
    5. John K. Dagsvik & TorbjØrn HÆgeland & Arvid Raknerud, 2011. "Estimating the returns to schooling: a likelihood approach based on normal mixtures," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(4), pages 613-640, June.
    6. Christian Belzil & Jörgen Hansen, 2004. "Earnings Dispersion, Risk Aversion And Education," Research in Labor Economics, in: Accounting for Worker Well-Being, pages 335-358, Emerald Group Publishing Limited.
    7. Christian Belzil & Jörgen Hansen, 2002. "Unobserved Ability and the Return to Schooling," Econometrica, Econometric Society, vol. 70(5), pages 2075-2091, September.
    8. Holzner, Christian & Launov, Andrey, 2010. "Search equilibrium and social and private returns to education," European Economic Review, Elsevier, vol. 54(1), pages 39-59, January.
    9. Burgess, Simon, 2016. "Human Capital and Education: The State of the Art in the Economics of Education," IZA Discussion Papers 9885, Institute of Labor Economics (IZA).
    10. Christian Belzil, 2006. "Subjective beliefs and Schooling Decisions," Post-Print halshs-00265466, HAL.
    11. Nielsen, Chantal Pohl, 2007. "Immigrant overeducation : evidence from Denmark," Policy Research Working Paper Series 4234, The World Bank.
    12. Belzil, Christian & Hansen, Jörgen, 2010. "The Distinction between Dictatorial and Incentive Policy Interventions and its Implication for IV Estimation," IZA Discussion Papers 4835, Institute of Labor Economics (IZA).
    13. Liu, Xingfei, 2014. "Educational Attainment of Second-Generation Immigrants: A U.S.-Canada Comparison," IZA Discussion Papers 8685, Institute of Labor Economics (IZA).
    14. Biewen, Martin & (neé Tapalaga), Madalina Thiele, 2020. "Early tracking, academic vs. vocational training, and the value of ‘second-chance’ options," Labour Economics, Elsevier, vol. 66(C).
    15. Heckman, James J. & Lochner, Lance J. & Todd, Petra E., 2006. "Earnings Functions, Rates of Return and Treatment Effects: The Mincer Equation and Beyond," Handbook of the Economics of Education, in: Erik Hanushek & F. Welch (ed.), Handbook of the Economics of Education, edition 1, volume 1, chapter 7, pages 307-458, Elsevier.
    16. Belzil, Christian & Hansen, Jörgen & Liu, Xingfei, 2011. "Dynamic Skill Accumulation, Comparative Advantages, Compulsory Schooling, and Earnings," IZA Discussion Papers 6167, Institute of Labor Economics (IZA).
    17. 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.
    18. Tillmann Heidelk, 2019. "The Returns to Education in the Context of a Natural Disaster: Evidence from the 2010 Earthquake in Haiti," Working Papers ECARES 2019-17, ULB -- Universite Libre de Bruxelles.
    19. Belzil, Christian & Hansen, Jörgen & Kristensen, Nicolai, 2008. "Estimating Complementarity between Education and Training," IZA Discussion Papers 3882, Institute of Labor Economics (IZA).
    20. Belzil, Christian & Hansen, Jörgen, 2008. "Calibration and IV Estimation of a Wage Outcome Equation in a Dynamic Environment," IZA Discussion Papers 3528, Institute of Labor Economics (IZA).
    21. Belzil, Christian & Hansen, Jörgen, 2012. "The Timing of Earnings Sampling over the Life-Cycle and IV Identification of the Return to Schooling," IZA Discussion Papers 6724, Institute of Labor Economics (IZA).
    22. Belzil, Christian & Hansen, Jörgen, 2005. "A Structural Analysis of the Correlated Random Coefficient Wage Regression Model with an Application to the OLS-IV Puzzle," IZA Discussion Papers 1585, Institute of Labor Economics (IZA).
    23. Gendron-Carrier, Nicolas, 2023. "Prior Work Experience and Entrepreneurship: The Careers of Young Entrepreneurs," IZA Discussion Papers 16145, Institute of Labor Economics (IZA).

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    More about this item

    Keywords

    Random Coefficient; Returns to Schooling; Comparative Advantages; Dynamic Programming; Dynamic Self-Selection;
    All these keywords.

    JEL classification:

    • J2 - Labor and Demographic Economics - - Demand and Supply of Labor
    • J3 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs

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