IDEAS home Printed from https://ideas.repec.org/p/zbw/zewdip/18014.html
   My bibliography  Save this paper

Optimal taxes on capital in the OLG model with uninsurable idiosyncratic income risk

Author

Listed:
  • Krueger, Dirk
  • Ludwig, Alexander

Abstract

We characterize the optimal linear tax on capital in an Overlapping Generations model with two period lived households facing uninsurable idiosyncratic labor income risk. The Ramsey government internalizes the general equilibrium feedback of private precautionary saving. For logarithmic utility our full analytical solution of the Ramsey problem shows that the optimal aggregate saving rate is independent of income risk. The optimal time-invariant tax on capital is increasing in income risk. Its sign depends on the extent of risk and on the Pareto weight of future generations. If the Ramsey tax rate that maximizes steady state utility is positive, then implementing this tax rate permanently generates a Pareto-improving transition even if the initial equilibrium is dynamically efficient. We generalize our results to Epstein-Zin-Weil utility and show that the optimal steady state saving rate is increasing in income risk if and only if the intertemporal elasticity of substitution is smaller than 1.

Suggested Citation

  • Krueger, Dirk & Ludwig, Alexander, 2018. "Optimal taxes on capital in the OLG model with uninsurable idiosyncratic income risk," ZEW Discussion Papers 18-014, ZEW - Leibniz Centre for European Economic Research.
  • Handle: RePEc:zbw:zewdip:18014
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/177284/1/101850902X.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Erosa, Andres & Gervais, Martin, 2002. "Optimal Taxation in Life-Cycle Economies," Journal of Economic Theory, Elsevier, vol. 105(2), pages 338-369, August.
    2. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2015. "Optimal Taxation and Debt with Uninsurable Risks to Human Capital Accumulation," American Economic Review, American Economic Association, vol. 105(11), pages 3443-3470, November.
    3. 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.
    4. Chen, Yunmin & Chien, YiLi & Yang, C.C., 2017. "Implementing the Modified Golden Rule? Optimal Ramsey Capital Taxation with Incomplete Markets Revisited," Working Papers 2017-3, Federal Reserve Bank of St. Louis, revised 11 Feb 2019.
    5. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2017. "Optimal Tax Progressivity: An Analytical Framework," The Quarterly Journal of Economics, Oxford University Press, vol. 132(4), pages 1693-1754.
    6. 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.
    7. Atkinson, A B & Sandmo, A, 1980. "Welfare Implications of the Taxation of Savings," Economic Journal, Royal Economic Society, vol. 90(359), pages 529-549, September.
    8. Pestieau, P. M., 1974. "Optimal taxation and discount rate for public investment in a growth setting," Journal of Public Economics, Elsevier, vol. 3(3), pages 217-235, August.
    9. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    10. Andres Erosa & Martin Gervais, 2001. "Optimal taxation in infinitely-lived agent and overlapping generations models : a review," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 23-44.
    11. Chien, YiLi & Wen, Yi, 2017. "Optimal Ramsey Capital Income Taxation —A Reappraisal," Working Papers 2017-24, Federal Reserve Bank of St. Louis, revised 23 Oct 2017.
    12. 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.
    13. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
    14. Carlos Garriga, 2019. "Optimal Fiscal Policy in Overlapping Generations Models," Public Finance Review, , vol. 47(1), pages 3-31, January.
    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. 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.
    17. Daniel Harenberg & Alexander Ludwig, 2015. "Social security in an analytically tractable overlapping generations model with aggregate and idiosyncratic risks," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(4), pages 579-603, August.
    18. Chamley, Christophe, 2001. "Capital income taxation, wealth distribution and borrowing constraints," Journal of Public Economics, Elsevier, vol. 79(1), pages 55-69, January.
    19. Emmanuel Farhi & Iván Werning, 2012. "Capital Taxation: Quantitative Explorations of the Inverse Euler Equation," Journal of Political Economy, University of Chicago Press, vol. 120(3), pages 000.
    20. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
    21. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
    22. Catarina Reis & Vasia Panousi, 2012. "Optimal Capital Taxation with Idiosyncratic Investment Risk," 2012 Meeting Papers 732, Society for Economic Dynamics.
    23. Yikai Wang & Hans Holter & Marcus Hagedorn, 2015. "The Optimum Quantity of Capital and Debt," 2015 Meeting Papers 1220, Society for Economic Dynamics.
    24. 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.
    25. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-969, July.
    26. 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.
    27. Tom Krebs, 2003. "Human Capital Risk and Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 118(2), pages 709-744.
    28. Catarina Reis & Vasia Panousi, 2016. "A unified framework for optimal taxation with undiversifiable risk," 2016 Meeting Papers 951, Society for Economic Dynamics.
    29. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    30. repec:wly:emetrp:v:85:y:2017:i::p:1433-1466 is not listed on IDEAS
    31. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Schünemann, Johannes & Trimborn, Timo, 2017. "Boosting taxes for boasting about houses: Status concerns in the housing market," ECON WPS - Vienna University of Technology Working Papers in Economic Theory and Policy 05/2017, Vienna University of Technology, Institute for Mathematical Methods in Economics, Research Group Economics (ECON).
    2. Alexander Gorokhovsky & Anna Rubinchik, 2019. "Necessary and Sufficient Conditions for Determinacy of Asymptotically Stationary Equilibria in Olg Models," Cowles Foundation Discussion Papers 2179, Cowles Foundation for Research in Economics, Yale University.
    3. Matthias Krapf, 2018. "The Joint Distribution of Wealth and Income Risk: Evidence from Bern," CESifo Working Paper Series 7130, CESifo Group Munich.

    More about this item

    Keywords

    Idiosyncratic Risk; Taxation of Capital; Overlapping Generations; Precautionary Saving; Pecuniary Externality;

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

    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:zbw:zewdip:18014. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (ZBW - Leibniz Information Centre for Economics). General contact details of provider: http://edirc.repec.org/data/zemande.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.