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Optimal Progressive Taxation and Education Subsidies in a Model of Endogenous Human Capital Formation

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  • Dirk Krueger

    (Department of Economics, University of Pennsylvania)

  • Alexander Ludwig

    (University of Cologne, Faculty of Management, Economics and Social Sciences)

Abstract

In this paper we characterize quantitatively the optimal mix of progressive income taxes and education subsidies in a model with endogeneous human capital formation, borrowing constraints, income risk and incomplete financial markets. Progressive labor income taxes provide social insurance against idiosyncratic income risk and redistributes after tax income among ex-ante heterogenous households. In addition to the standard distortions of labor supply progressive taxes also impede the incentives to acquire higher education, generation a non-trivial trade-off for the benevolent utilitarian government. The latter distortion can potentially be mitigated by an education subsidy. We find that the welfare-maximizing fiscal policy is indeed characterized by a substantially progressive labor income tax code and a positive subsidy for college education. Both the degree of tax progressivity and the education subsidy are larger than in the current U.S. status quo.

Suggested Citation

  • Dirk Krueger & Alexander Ludwig, 2013. "Optimal Progressive Taxation and Education Subsidies in a Model of Endogenous Human Capital Formation," PIER Working Paper Archive 13-035, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  • Handle: RePEc:pen:papers:13-035
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    1. Hans Fehr & Fabian Kindermann, 2012. "Optimal Taxation with Current and Future Cohorts," CESifo Working Paper Series 3973, CESifo.
    2. Findeisen, Sebastian & Sachs, Dominik, 2011. "Education and Optimal Dynamic Taxation," IZA Discussion Papers 6056, Institute of Labor Economics (IZA).
    3. Lawrence F. Katz & Kevin M. Murphy, 1992. "Changes in Relative Wages, 1963–1987: Supply and Demand Factors," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(1), pages 35-78.
    4. Chari, V.V. & Kehoe, Patrick J., 1999. "Optimal fiscal and monetary policy," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 26, pages 1671-1745, Elsevier.
    5. Lance Lochner & Alexander Monge-Naranjo, 2012. "Credit Constraints in Education," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 225-256, July.
    6. Brant Abbott & Giovanni Gallipoli & Costas Meghir & Giovanni L. Violante, 2019. "Education Policy and Intergenerational Transfers in Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2569-2624.
    7. Fatih Guvenen & Burhanettin Kuruscu & Serdar Ozkan, 2014. "Taxation of Human Capital and Wage Inequality: A Cross-Country Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(2), pages 818-850.
    8. William G. Gale & John Karl Scholz, 1994. "Intergenerational Transfers and the Accumulation of Wealth," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 145-160, Fall.
    9. V. V. Chari & Patrick J. Kehoe, 2006. "Modern Macroeconomics in Practice: How Theory Is Shaping Policy," Journal of Economic Perspectives, American Economic Association, vol. 20(4), pages 3-28, Fall.
    10. Erosa, Andres & Gervais, Martin, 2002. "Optimal Taxation in Life-Cycle Economies," Journal of Economic Theory, Elsevier, vol. 105(2), pages 338-369, August.
    11. Andrew Atkeson & V. V. Chari & Patrick J. Kehoe, 1999. "Taxing capital income: a bad idea," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 23(Sum), pages 3-17.
    12. Gervais, Martin, 2012. "On the optimality of age-dependent taxes and the progressive U.S. tax system," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 682-691.
    13. Carlos Garriga, 2019. "Optimal Fiscal Policy in Overlapping Generations Models," Public Finance Review, , vol. 47(1), pages 3-31, January.
    14. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    15. Fabian Kindermann, 2012. "Welfare Effects of Privatizing Public Education When Human Capital Investments Are Risky," Journal of Human Capital, University of Chicago Press, vol. 6(2), pages 87-123.
    16. James Heckman & Lance Lockner & Christopher Taber, 1999. "Human capital formation and general equilibrium treatment effects: a study of tax and tuition policy," Fiscal Studies, Institute for Fiscal Studies, vol. 20(1), pages 25-40, March.
    17. 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.
    18. Markus Poschke & Baris Kaymak & Ozan Bakis, 2012. "On the Optimality of Progressive Income Redistribution," 2012 Meeting Papers 837, Society for Economic Dynamics.
    19. Babcock, Phillip, 2009. "Real Costs of Nominal Grade Inflation? New Evidence from Student Course Evaluations," University of California at Santa Barbara, Economics Working Paper Series qt4823c3jx, Department of Economics, UC Santa Barbara.
    20. Rupert, Peter & Zanella, Giulio, 2015. "Revisiting wage, earnings, and hours profiles," Journal of Monetary Economics, Elsevier, vol. 72(C), pages 114-130.
    21. Kjetil Storesletten & Giovanni L. Violante & Jonathan Heathcote, 2010. "Redistributive Taxation in a Partial-Insurance Economy," 2010 Meeting Papers 1124, Society for Economic Dynamics.
    22. Philip Babcock, 2010. "Real Costs Of Nominal Grade Inflation? New Evidence From Student Course Evaluations," Economic Inquiry, Western Economic Association International, vol. 48(4), pages 983-996, October.
    23. Elizabeth M. Caucutt & Selahattin İmrohoroğlu & Krishna B. Kumar, 2006. "Does the Progressivity of Income Taxes Matter for Human Capital and Growth?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(1), pages 95-118, January.
    24. 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.
    25. Cunha, Flavio & Heckman, James J. & Lochner, Lance, 2006. "Interpreting the Evidence on Life Cycle Skill Formation," Handbook of the Economics of Education, in: Erik Hanushek & F. Welch (ed.), Handbook of the Economics of Education, edition 1, volume 1, chapter 12, pages 697-812, Elsevier.
    26. 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.
    27. Hans A. Holter, 2015. "Accounting for cross‐country differences in intergenerational earnings persistence: The impact of taxation and public education expenditure," Quantitative Economics, Econometric Society, vol. 6(2), pages 385-428, July.
    28. Marek Kapička, 2015. "Optimal Mirrleesean Taxation in a Ben-Porath Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(2), pages 219-248, April.
    29. Ionescu, Felicia & Simpson, Nicole, 2010. "Credit Scores and College Investment," Working Papers 2010-07, Department of Economics, Colgate University.
    30. David Domeij & Jonathan Heathcote, 2004. "On The Distributional Effects Of Reducing Capital Taxes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 523-554, May.
    31. Roland Benabou, 2002. "Tax and Education Policy in a Heterogeneous-Agent Economy: What Levels of Redistribution Maximize Growth and Efficiency?," Econometrica, Econometric Society, vol. 70(2), pages 481-517, March.
    32. George J. Borjas, 2021. "The Labor Demand Curve Is Downward Sloping: Reexamining The Impact Of Immigration On The Labor Market," World Scientific Book Chapters, in: Foundational Essays in Immigration Economics, chapter 9, pages 235-274, World Scientific Publishing Co. Pte. Ltd..
    33. 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.
    34. 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.
    35. Weinzierl, Matthew, 2014. "The promise of positive optimal taxation: normative diversity and a role for equal sacrifice," Journal of Public Economics, Elsevier, vol. 118(C), pages 128-142.
    36. Marios Karabarbounis, 2012. "Heterogeneity in Labor Supply Elasticity and Optimal Taxation," 2012 Meeting Papers 655, Society for Economic Dynamics.
    37. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    38. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    39. Matthew Weinzierl, 2011. "The Surprising Power of Age-Dependent Taxes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(4), pages 1490-1518.
    40. Mendoza, Enrique G. & Razin, Assaf & Tesar, Linda L., 1994. "Effective tax rates in macroeconomics: Cross-country estimates of tax rates on factor incomes and consumption," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 297-323, December.
    41. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
    42. R. Glenn Hubbard & Kenneth L. Judd, 1986. "Liquidity Constraints, Fiscal Policy, and Consumption," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 17(1), pages 1-60.
    43. Gervais, Martin, 2009. "On the optimality of age-dependent taxes and the progressive U.S. tax system," Discussion Paper Series In Economics And Econometrics 0905, Economics Division, School of Social Sciences, University of Southampton.
    44. Huggett, Mark, 1997. "The one-sector growth model with idiosyncratic shocks: Steady states and dynamics," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 385-403, August.
    45. Yvette Alvarez & John Burbidge & Ted Farrell & Leigh Palmer, 1992. "Optimal Taxation in a Life-Cycle Model," Canadian Journal of Economics, Canadian Economics Association, vol. 25(1), pages 111-122, February.
    46. Che-Lin Su & Kenneth L. Judd, 2006. "Optimal Income Taxation with Multidimensional Taxpayer Types," Computing in Economics and Finance 2006 471, Society for Computational Economics.
    47. Findeisen, Sebastian & Sachs, Dominik, 2016. "Education and optimal dynamic taxation: The role of income-contingent student loans," Journal of Public Economics, Elsevier, vol. 138(C), pages 1-21.
    48. Kenichi Fukushima, 2010. "Quantifying the Welfare Gains From Flexible Dynamic Income Tax Systems," 2010 Meeting Papers 410, Society for Economic Dynamics.
    49. Giulio Zanella & Peter Rupert, 2010. "Revisiting Wage, Earnings, and Hours Profiles," 2010 Meeting Papers 1158, Society for Economic Dynamics.
    50. Keane, Michael P & Wolpin, Kenneth I, 2001. "The Effect of Parental Transfers and Borrowing Constraints on Educational Attainment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1051-1103, November.
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    Cited by:

    1. Sebastian Dyrda & Marcelo Pedroni, 2015. "Optimal Fiscal Policy in a Model with Uninsurable Idiosyncratic Shocks," Working Papers tecipa-550, University of Toronto, Department of Economics.
    2. 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.
    3. Baris Kaymak & CHEUK SHING LEUNG & Markus Poschke, 2018. "Accounting for the determinants of wealth concentration in the US," 2018 Meeting Papers 911, Society for Economic Dynamics.
    4. Röhrs, Sigrid & Winter, Christoph, 2017. "Reducing government debt in the presence of inequality," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 1-20.
    5. Brant Abbott & Giovanni Gallipoli & Costas Meghir & Giovanni L. Violante, 2019. "Education Policy and Intergenerational Transfers in Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2569-2624.
    6. Ctirad Slavík & Hakki Yazici, 2019. "On the consequences of eliminating capital tax differentials," Canadian Journal of Economics, Canadian Economics Association, vol. 52(1), pages 225-252, February.
    7. Omer Acikgoz, 2014. "Transitional Dynamics and Long-Run Optimal Taxation under Incomplete Markets," 2014 Meeting Papers 990, Society for Economic Dynamics.
    8. Kaymak, Barış & Poschke, Markus, 2016. "The evolution of wealth inequality over half a century: The role of taxes, transfers and technology," Journal of Monetary Economics, Elsevier, vol. 77(C), pages 1-25.
    9. Brant Abbott & Giovanni Gallipoli & Costas Meghir & Giovanni L. Violante, 2013. "Education Policy�and Intergenerational Transfers in Equilibrium," Cowles Foundation Discussion Papers 1887, Cowles Foundation for Research in Economics, Yale University.
    10. Acikgoz, Omer, 2015. "Transitional Dynamics and Long-run Optimal Taxation Under Incomplete Markets," MPRA Paper 73380, University Library of Munich, Germany.
    11. Aaron Hedlund, 2014. "Estate Taxation and Human Capital with Information Externalities," Working Papers 1415, Department of Economics, University of Missouri.
    12. Sebastian Dyrda & Marcelo Pedroni, 2015. "Optimal Fiscal Policy in a Model with Uninsurable Idiosyncratic Shocks," Working Papers tecipa-549, University of Toronto, Department of Economics.
    13. Gianluca Violante & Giovanni Gallipoli & Costas Meghir, 2005. "Education Decisions, Equilibrium Policies and Wages Dispersion," 2005 Meeting Papers 522, Society for Economic Dynamics.
    14. Ferrreira, Ana Melissa, 2019. "Skill-Biased Technological Change and Inequality in the U.S," MPRA Paper 93914, University Library of Munich, Germany.
    15. Coelho, José, 2020. "Universal basic income and skill-biased technological change," MPRA Paper 99195, University Library of Munich, Germany, revised 20 Mar 2020.
    16. Slavik, Ctirad & Yazici, Hakki, 2015. "Determinants of Wage and Earnings Inequality in the United States," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113021, Verein für Socialpolitik / German Economic Association.
    17. Marti Mestieri & Johanna Schauer & Robert Townsend, 2017. "Human Capital Acquisition and Occupational Choice: Implications for Economic Development," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 25, pages 151-186, April.
    18. Dirk Krueger & Alexander Ludwig, 2013. "Optimal Progressive Labor Income Taxation and Education Subsidies When Education Decisions and Intergenerational Transfers Are Endogenous," American Economic Review, American Economic Association, vol. 103(3), pages 496-501, May.
    19. Benjamin Pugsley & Sebastian Dyrda, 2017. "Taxes, Regulations of Businesses and Evolution of Income Inequality in the US," 2017 Meeting Papers 1463, Society for Economic Dynamics.
    20. Acikgoz, Omer, 2013. "Transitional Dynamics and Long-run Optimal Taxation Under Incomplete Markets," MPRA Paper 50160, University Library of Munich, Germany.
    21. Markus Poschke & Baris Kaymak, 2015. "The evolution of wealth inequality over half a century: the role of skills, taxes and institutions," 2015 Meeting Papers 967, Society for Economic Dynamics.
    22. Ozan Bakis & Baris Kaymak & Markus Poschke, 2015. "Transitional Dynamics and the Optimal Progressivity of Income Redistribution," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(3), pages 679-693, July.

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    More about this item

    Keywords

    Progressive Taxation; Capital Taxation; Optimal Taxation;
    All these keywords.

    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
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies

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