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Risky human capital and deferred capital income taxation

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Borys Grochulski
Tomasz Piskorski

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Abstract

We study the structure of optimal wedges and capital taxes in a Mirrlees economy with endogenous skills. Human capital is a private state variable that drives the skill process of each individual. Building on the findings of the labor literature, we assume that human capital investment is a) risky, b) made early in the life-cycle, and c) hard to distinguish from consumption. These assumptions lead to the optimality of a) a human capital premium, i.e., an excess return on human capital relative to physical capital, b) a large intertemporal wedge early in the life-cycle stemming from the lack of Rogerson's [Econometrica, 1985] "inverse Euler" characterization of the optimal consumption process, and c) an intra-temporal distortion of the effort/consumption margin even at the top of the skill distribution at all dates except the terminal date. The main implication for the structure of linear capital taxes is the necessity of deferred taxation of physical capital. In particular, deferred taxation of capital prevents the agents from making a joint deviation of under-investing in human capital ex ante and shirking from labor effort at some future date in the life-cycle, as the marginal deferred tax rate on physical capital held early in the life-cycle is history-dependent. The average marginal tax rate on physical capital held in every period is zero in present value. Thus, as in Kocherlakota [Econometrica, 2005], the government revenue from capital taxation is zero. However, since a portion of the capital tax must be deferred, expected capital tax payments cannot be zero in every period. Necessarily, agents face negative expected capital tax payments due early in the life-cycle and positive expected capital tax payments late in the life-cycle. Also, relative to economies with exogenous skills, the optimal marginal wealth tax rate is more volatile.

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Paper provided by Federal Reserve Bank of Richmond in its series Working Paper with number 06-13.

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Date of creation: 2007
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Handle: RePEc:fip:fedrwp:06-13

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Keywords: Taxation;

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  1. Michele Boldrin & Ana Montes, 2005. "The Intergenerational State Education and Pensions," Review of Economic Studies, Blackwell Publishing, vol. 72(3), pages 651-664, 07. [Downloadable!] (restricted)
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  2. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," Review of Economic Studies, Blackwell Publishing, vol. 70(3), pages 569-587, 07. [Downloadable!] (restricted)
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  3. Costas Meghir & Luigi Pistaferri, 2004. "Income Variance Dynamics and Heterogeneity," Econometrica, Econometric Society, vol. 72(1), pages 1-32, 01. [Downloadable!] (restricted)
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  4. Wojciech Kopczuk, 2003. "The Trick Is to Live: Is the Estate Tax Social Security for the Rich?," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1318-1341, December. [Downloadable!] (restricted)
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  5. 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 S11-44, August. [Downloadable!] (restricted)
  6. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," Review of Economic Studies, Blackwell Publishing, vol. 73(1), pages 1-30, 01. [Downloadable!] (restricted)
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  7. Bassetto, Marco & Kocherlakota, Narayana, 2004. "On the irrelevance of government debt when taxes are distortionary," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 299-304, March. [Downloadable!] (restricted)
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  8. Storesletten, Kjetil & Telmer, Christopher I. & Yaron, Amir, 2004. "Consumption and risk sharing over the life cycle," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 609-633, April. [Downloadable!] (restricted)
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  9. Davies, James B. & Zeng, Jinli & Zhang, Jie, 2000. "Consumption vs. income taxes when private human capital investments are imperfectly observable," Journal of Public Economics, Elsevier, vol. 77(1), pages 1-28, July. [Downloadable!] (restricted)
  10. Narayana R. Kocherlakota, 2004. "Wedges and Taxes," American Economic Review, American Economic Association, vol. 94(2), pages 109-113, May. [Downloadable!]
  11. Carneiro, Pedro & Heckman, James J., 2003. "Human Capital Policy," IZA Discussion Papers 821, Institute for the Study of Labor (IZA). [Downloadable!]
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  12. Mirrlees, James A, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Blackwell Publishing, vol. 38(114), pages 175-208, April. [Downloadable!] (restricted)
  13. Ignacio Palacios-Huerta, 2003. "An Empirical Analysis of the Risk Properties of Human Capital Returns," American Economic Review, American Economic Association, vol. 93(3), pages 948-964, June. [Downloadable!]
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  14. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January. [Downloadable!] (restricted)
  15. James J. Heckman, 1999. "Policies to Foster Human Capital," NBER Working Papers 7288, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  16. Narayana R. Kocherlakota, 2005. "Zero Expected Wealth Taxes: A Mirrlees Approach to Dynamic Optimal Taxation," Econometrica, Econometric Society, vol. 73(5), pages 1587-1621, 09. [Downloadable!] (restricted)
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  17. Jones, Larry E. & Manuelli, Rodolfo E. & Rossi, Peter E., 1997. "On the Optimal Taxation of Capital Income," Journal of Economic Theory, Elsevier, vol. 73(1), pages 93-117, March. [Downloadable!] (restricted)
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  18. Marek Kapicka, 2006. "Optimal Income Taxation with Human Capital Accumulation and Limited Record Keeping," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(4), pages 612-639, October. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Bas Jacobs & Lans Bovenberg, 2008. "Optimal Taxation of Human Capital and the Earnings Function," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  2. Dan Anderberg, 2008. "Optimal Policy and the Risk Properties of Human Capital Reconsidered," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  3. Hugo Hopenhayn & Arantxa Jarque, . "Unobservable Persistent Productivity and Long Term Contracts," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics. [Downloadable!] (restricted)
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  4. Narayana Kocherlakota & Borys Grochulski, 2007. "Nonseparable Preferences and Optimal Social Security Systems," Levine's Bibliography 843644000000000156, UCLA Department of Economics. [Downloadable!]
    Other versions:
  5. Hugo Hopenhayn & Arantxa Jarque, 2007. "Moral hazard and persistence," Working Paper 07-07, Federal Reserve Bank of Richmond. [Downloadable!]
    Other versions:
  6. Bas Jacobs & Dirk Schindler & Hongyan Yang, 2009. "Optimal Taxation of Risky Human Capital," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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