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Optimal Taxation in the Life Cycle with Human Capital Investment

Author

Listed:
  • Been-Lo Chen

    (Academia Sinica)

  • Fei-Chi Liang

    (Academia Sinica)

Abstract

This paper studies optimal taxes in a lifecycle model with unverifiable human capital investment inseparable from regular consumption. The planner faces asymmetric information regarding agents’ exogenous abilities and endogenous human capital. Agents deviate in two ways: misreporting ability and mis-investing in human capital. We characterize the distortions in a model with i.i.d. shocks and full human capital depreciation. Distortions are characterized by capital wedges that are positive over the life cycle, labor wedges that are negative early and positive later in the life cycle, and net human capital wedges that are positive in the life cycle. These wedges serve as mechanisms to eliminate the distortion to consumption due to inseparability from education expenditure. Calibrate to U.S. data, we show numerically that these results apply in a richer model with persistent shocks and non-full human capital depreciation. Simulation suggests that average capital wedges are positive in all working periods, with progressive capital wedges in contemporary skills, average labor wedges are negative in early and positive in later periods, with hump-shape in skills and nonzero at the top and the bottom of the skill distribution, and net human capital wedges are positive and regressive in skills, indicating that human capital subsidies are in favor of the high skilled. (Copyright: Elsevier)

Suggested Citation

  • Been-Lo Chen & Fei-Chi Liang, 2024. "Optimal Taxation in the Life Cycle with Human Capital Investment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 52, pages 21-45, April.
    • Handle: RePEc:red:issued:22-128
    DOI: 10.1016/j.red.2023.11.004
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    as
    1. Kevin M. Murphy & Finis Welch, 1992. "The Structure of Wages," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(1), pages 285-326.
    2. Chen, Been-Lon & Lu, Chia-Hui, 2013. "Optimal factor tax incidence in two-sector human capital-based models," Journal of Public Economics, Elsevier, vol. 97(C), pages 75-94.
    3. Narayana R. Kocherlakota, 2005. "Zero Expected Wealth Taxes: A Mirrlees Approach to Dynamic Optimal Taxation," Econometrica, Econometric Society, vol. 73(5), pages 1587-1621, September.
    4. James Heckman & Flavio Cunha, 2007. "The Technology of Skill Formation," American Economic Review, American Economic Association, vol. 97(2), pages 31-47, May.
    5. Andrew Atkeson & Robert E. Lucas, 1992. "On Efficient Distribution With Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 427-453.
    6. Marek Kapička & Julian Neira, 2019. "Optimal Taxation with Risky Human Capital," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(4), pages 271-309, October.
    7. Nezih Guner & Remzi Kaygusuz & Gustavo Ventura, 2014. "Income Taxation of U.S. Households: Facts and Parametric Estimates," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 559-581, October.
    8. Roland Benabou, 2000. "Unequal Societies: Income Distribution and the Social Contract," American Economic Review, American Economic Association, vol. 90(1), pages 96-129, March.
    9. 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.
    10. James J. Heckman & Jora Stixrud & Sergio Urzua, 2006. "The Effects of Cognitive and Noncognitive Abilities on Labor Market Outcomes and Social Behavior," Journal of Labor Economics, University of Chicago Press, vol. 24(3), pages 411-482, July.
    11. Emmanuel Saez, 2002. "Optimal Income Transfer Programs: Intensive versus Extensive Labor Supply Responses," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 1039-1073.
    12. Harold L. Cole & Narayana R. Kocherlakota, 2001. "Efficient Allocations with Hidden Income and Hidden Storage," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(3), pages 523-542.
    13. Juan Carlos Conesa & Sagiri Kitao & Dirk Krueger, 2009. "Taxing Capital? Not a Bad Idea after All!," American Economic Review, American Economic Association, vol. 99(1), pages 25-48, March.
    14. Diamond, P., 1980. "Income taxation with fixed hours of work," Journal of Public Economics, Elsevier, vol. 13(1), pages 101-110, February.
    15. William Peterman, 2016. "The effect of endogenous human capital accumulation on optimal taxation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 21, pages 46-71, July.
    16. Emmanuel Farhi, 2013. "Insurance and Taxation over the Life Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 596-635.
    17. Mark Huggett & Gustavo Ventura & Amir Yaron, 2011. "Sources of Lifetime Inequality," American Economic Review, American Economic Association, vol. 101(7), pages 2923-2954, December.
    18. Jonathan Heathcote & Fabrizio Perri & Giovanni L. Violante, 2010. "Unequal We Stand: An Empirical Analysis of Economic Inequality in the United States: 1967-2006," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(1), pages 15-51, January.
    19. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    20. Costas Meghir & Luigi Pistaferri, 2004. "Income Variance Dynamics and Heterogeneity," Econometrica, Econometric Society, vol. 72(1), pages 1-32, January.
    21. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2005. "Two Views of Inequality Over the Life Cycle," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 765-775, 04/05.
    22. Nezih Guner & Remzi Kaygusuz & Gustavo Ventura, 2014. "Income Taxation of U.S. Households: Facts and Parametric Estimates," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 559-581, October.
    23. Bas Jacobs & A. Bovenberg, 2010. "Human capital and optimal positive taxation of capital income," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 17(5), pages 451-478, October.
    24. Gary S. Becker, 1964. "Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, First Edition," NBER Books, National Bureau of Economic Research, Inc, number beck-5, March.
    25. Allen, Franklin, 1985. "Repeated principal-agent relationships with lending and borrowing," Economics Letters, Elsevier, vol. 17(1-2), pages 27-31.
    26. Diamond, P. A. & Mirrlees, J. A., 1978. "A model of social insurance with variable retirement," Journal of Public Economics, Elsevier, vol. 10(3), pages 295-336, December.
    27. Stefanie Stantcheva, 2017. "Optimal Taxation and Human Capital Policies over the Life Cycle," Journal of Political Economy, University of Chicago Press, vol. 125(6), pages 1931-1990.
    28. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
    29. Lans Bovenberg, A. & Jacobs, Bas, 2005. "Redistribution and education subsidies are Siamese twins," Journal of Public Economics, Elsevier, vol. 89(11-12), pages 2005-2035, December.
    30. Atkinson, A. B. & Stiglitz, J. E., 1976. "The design of tax structure: Direct versus indirect taxation," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 55-75.
    31. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    32. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
    33. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
    34. Emmanuel Saez & Stefanie Stantcheva, 2016. "Generalized Social Marginal Welfare Weights for Optimal Tax Theory," American Economic Review, American Economic Association, vol. 106(1), pages 24-45, January.
    35. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
    36. Diamond, Peter A, 1998. "Optimal Income Taxation: An Example with a U-Shaped Pattern of Optimal Marginal Tax Rates," American Economic Review, American Economic Association, vol. 88(1), pages 83-95, March.
    37. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    38. Tobing, Elwin, 2011. "Taxation, human capital formation, and long-run growth with private investment in education," Journal of Asian Economics, Elsevier, vol. 22(1), pages 48-60, February.
    39. 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.
    40. David H. Autor & Lawrence F. Katz & Alan B. Krueger, 1998. "Computing Inequality: Have Computers Changed the Labor Market?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(4), pages 1169-1213.
    41. Laurence Ales & Musab Kurnaz & Christopher Sleet, 2015. "Technical Change, Wage Inequality, and Taxes," American Economic Review, American Economic Association, vol. 105(10), pages 3061-3101, October.
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    More about this item

    Keywords

    Optimal capital and labor taxes; Human capital accumulation;

    JEL classification:

    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

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