IDEAS home Printed from https://ideas.repec.org/p/cnn/wpaper/14-007e.html
   My bibliography  Save this paper

Optimal taxation and debt with uninsurable risks to human capital accumulation

Author

Listed:
  • Piero Gottardi
  • Atsushi Kajii
  • Tomoyuki Nakajima

Abstract

We consider an economy where individuals face uninsurable risks to their human capital accumulation, and study the problem of determining the optimal level of linear taxes on capital and labor income together with the optimal path of the debt level. We show both analytically and numerically that in the presence of such risks it is bene cial to tax both labor and capital income and to have positive government debt.

Suggested Citation

  • Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2014. "Optimal taxation and debt with uninsurable risks to human capital accumulation," CIGS Working Paper Series 14-007E, The Canon Institute for Global Studies.
    • Handle: RePEc:cnn:wpaper:14-007e
    as

    Download full text from publisher

    File URL: https://cigs.canon/article/uploads/pdf/workingpapers/140717_nakajima.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Marcet, Albert & Obiols-Homs, Francesc & Weil, Philippe, 2007. "Incomplete markets, labor supply and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2621-2635, November.
    2. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    3. Julio Dávila & Jay H. Hong & Per Krusell & José‐Víctor Ríos‐Rull, 2012. "Constrained Efficiency in the Neoclassical Growth Model With Uninsurable Idiosyncratic Shocks," Econometrica, Econometric Society, vol. 80(6), pages 2431-2467, November.
    4. 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.
    5. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2016. "Constrained Inefficiency and Optimal Taxation with Uninsurable Risks," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(1), pages 1-28, February.
    6. Aiyagari, S. Rao & McGrattan, Ellen R., 1998. "The optimum quantity of debt," Journal of Monetary Economics, Elsevier, vol. 42(3), pages 447-469, October.
    7. Imrohoroglu, Selahattin, 1998. "A Quantitative Analysis of Capital Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 307-328, May.
    8. 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.
    9. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    10. Trostel, Philip A, 1993. "The Effect of Taxation on Human Capital," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 327-350, April.
    11. Jones, Larry E & Manuelli, Rodolfo E & Rossi, Peter E, 1993. "Optimal Taxation in Models of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 485-517, June.
    12. 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.
    13. 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.
    14. 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.
    15. Anastasios G Karantounias, 2018. "Optimal Fiscal Policy with Recursive Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(4), pages 2283-2317.
    16. Mark Huggett & Gustavo Ventura & Amir Yaron, 2011. "Sources of Lifetime Inequality," American Economic Review, American Economic Association, vol. 101(7), pages 2923-2954, December.
    17. Acikgoz, Omer, 2013. "Transitional Dynamics and Long-run Optimal Taxation Under Incomplete Markets," MPRA Paper 50160, University Library of Munich, Germany.
    18. Costas Meghir & Luigi Pistaferri, 2004. "Income Variance Dynamics and Heterogeneity," Econometrica, Econometric Society, vol. 72(1), pages 1-32, January.
    19. Chari, V V & Christiano, Lawrence J & Kehoe, Patrick J, 1994. "Optimal Fiscal Policy in a Business Cycle Model," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 617-652, August.
    20. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-286, April.
    21. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2010. "Optimal taxation and constrained inefficiency in an infinite-horizon economy with incomplete markets," KIER Working Papers 745, Kyoto University, Institute of Economic Research.
    22. 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.
    23. Tom Krebs, 2003. "Human Capital Risk and Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(2), pages 709-744.
    24. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 319-354, May.
    25. 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.
    26. 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.
    27. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    28. Larry E. Jones & Rodolfo Manuelli, 1990. "A Convex Model of Equilibrium Growth," NBER Working Papers 3241, National Bureau of Economic Research, Inc.
    29. Card, David, 2001. "Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems," Econometrica, Econometric Society, vol. 69(5), pages 1127-1160, September.
    30. George-Marios Angeletos, 2007. "Uninsured Idiosyncratic Investment Risk and Aggregate Saving," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(1), pages 1-30, January.
    31. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-1038, October.
    32. Barsky, Robert B & Mankiw, N Gregory & Zeldes, Stephen P, 1986. "Ricardian Consumers with Keynesian Propensities," American Economic Review, American Economic Association, vol. 76(4), pages 676-691, September.
    33. repec:hal:wpspec:info:hdl:2441/8623 is not listed on IDEAS
    34. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, April.
    35. Aiyagari, S Rao, 1995. "Optimal Capital Income Taxation with Incomplete Markets, Borrowing Constraints, and Constant Discounting," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1158-1175, December.
    36. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
    37. Zhu, Xiaodong, 1992. "Optimal fiscal policy in a stochastic growth model," Journal of Economic Theory, Elsevier, vol. 58(2), pages 250-289, December.
    38. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    39. repec:hal:spmain:info:hdl:2441/8623 is not listed on IDEAS
    40. Kjetil Storesletten & Chris I. Telmer & Amir Yaron, 2004. "Cyclical Dynamics in Idiosyncratic Labor Market Risk," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 695-717, June.
    41. 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.
    42. repec:cor:louvrp:-2463 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2010. "Optimal taxation and constrained inefficiency in an infinite-horizon economy with incomplete markets," KIER Working Papers 745, Kyoto University, Institute of Economic Research.
    2. Boháček, Radim & Kejak, Michal, 2018. "Optimal government policies in models with heterogeneous agents," Journal of Economic Theory, Elsevier, vol. 176(C), pages 834-858.
    3. François Le Grand & Xavier Ragot, 2017. "Optimal Fiscal Policy with Heterogeneous Agents and Aggregate Shocks," Working Papers hal-03458683, HAL.
    4. YiLi Chien & Yi Wen, 2022. "Optimal Ramsey Taxation in Heterogeneous Agent Economies with Quasi-Linear Preferences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 46, pages 124-160, October.
    5. 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.
    6. Krueger, Dirk & Ludwig, Alexander & Villalvazo, Sergio, 2021. "Optimal taxes on capital in the OLG model with uninsurable idiosyncratic income risk," Journal of Public Economics, Elsevier, vol. 201(C).
    7. repec:hal:spmain:info:hdl:2441/6bl2553ksc9vlq1fltjs9h1cht is not listed on IDEAS
    8. Chari, V.V. & Nicolini, Juan Pablo & Teles, Pedro, 2020. "Optimal capital taxation revisited," Journal of Monetary Economics, Elsevier, vol. 116(C), pages 147-165.
    9. repec:hal:wpspec:info:hdl:2441/6bl2553ksc9vlq1fltjs9h1cht is not listed on IDEAS
    10. repec:spo:wpecon:info:hdl:2441/6bl2553ksc9vlq1fltjs9h1cht is not listed on IDEAS
    11. YiLi Chien & Yi Wen & HsinJung Wu, 2020. "Are Government Bonds Net Wealth or a Liability? ---Optimal Debt and Taxes in an OLG Model with Uninsurable Income Risk," Working Papers 2020-007, Federal Reserve Bank of St. Louis, revised 03 Jan 2021.
    12. Hsu, Minchung & Yang, C.C., 2013. "Optimal linear and two-bracket income taxes with idiosyncratic earnings risk," Journal of Public Economics, Elsevier, vol. 105(C), pages 58-71.
    13. 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.
    14. repec:spo:wpmain:info:hdl:2441/6bl2553ksc9vlq1fltjs9h1cht is not listed on IDEAS
    15. 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.
    16. Panousi, Vasia, 2009. "Capital Taxation with Entrepreneurial Risk," MPRA Paper 24237, University Library of Munich, Germany.
    17. Clemens, Christiane & Heinemann, Maik, 2015. "Endogenous growth and wealth inequality under incomplete markets and idiosyncratic risk," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 300-317.
    18. Baltasar Manzano & Jesús Ruiz, 2004. "Política fiscal óptima: el estado de la cuestión," Investigaciones Economicas, Fundación SEPI, vol. 28(1), pages 5-41, January.
    19. William B. Peterman & Erick Sager, 2022. "Optimal Public Debt with Life Cycle Motives," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 404-437, October.
    20. Katharina Greulich & Sarolta Laczó & Albert Marcet, 2023. "Pareto-Improving Optimal Capital and Labor Taxes," Journal of Political Economy, University of Chicago Press, vol. 131(7), pages 1904-1946.
    21. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2014. "Consumption and Labor Supply with Partial Insurance: An Analytical Framework," American Economic Review, American Economic Association, vol. 104(7), pages 2075-2126, July.
    22. Woodland, A., 2016. "Taxation, Pensions, and Demographic Change," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 713-780, Elsevier.
    23. Tom Krebs & Moritz Kuhn & Mark Wright, 2017. "Under-Insurance in Human Capital Models with Limited Enforcement," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 25, pages 121-150, April.
    24. Kabukçuoğlu, Ayşe, 2017. "The winners and losers of tax reform: An assessment under financial integration," Journal of Economic Dynamics and Control, Elsevier, vol. 85(C), pages 90-122.

    More about this item

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • 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
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cnn:wpaper:14-007e. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: The Canon Institute for Global Studies (email available below). General contact details of provider: https://edirc.repec.org/data/canonjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.