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Why is the Long-Run Tax on Capital Income Zero? Explaining the Chamley-Judd Result

Author

Listed:
  • Bas Jacobs

    (Erasmus University Rotterdam, The Netherlands)

  • Alexandra Victoria Rusu

    (Erasmus University Rotterdam, The Netherlands)

Abstract
Why is it optimal not to tax capital income in the long-run in Chamley (1986) and Judd (1985)? This paper demonstrates that the answer follows standard intuitions from the commodity tax literature. In the steady state, Engel curves for consumption are linear in labour earnings, irrespective of the utility function adopted. Thus, in the steady state, consumption demands in each period become equally complementary to leisure over time. This renders taxes on capital income redundant, since they cannot alleviate distortions from taxing labour income. The argument that taxes on capital income should be zero because distortions explode in finite time is relevant only if restrictions are imposed on the utility function. We show how these restrictions imply that consumption demands in each period are equally complementary to leisure over time. We also demonstrate that the optimal tax on capital income is zero irrespective of whether the gross interest rate is endogenous. This contradicts arguments that the entire burden of capital income taxes is shifted to labour through general equilibrium effects on the interest rate.

Suggested Citation

  • Bas Jacobs & Alexandra Victoria Rusu, 2017. "Why is the Long-Run Tax on Capital Income Zero? Explaining the Chamley-Judd Result," Tinbergen Institute Discussion Papers 17-011/VI, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20170011
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    References listed on IDEAS

    as
    1. Jacobs, Bas & Schindler, Dirk, 2012. "On the desirability of taxing capital income in optimal social insurance," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 853-868.
    2. Thomas Piketty & Gabriel Zucman, 2014. "Capital is Back: Wealth-Income Ratios in Rich Countries 1700–2010," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(3), pages 1255-1310.
    3. Correia, Isabel H., 1996. "Should capital income be taxed in the steady state?," Journal of Public Economics, Elsevier, vol. 60(1), pages 147-151, April.
    4. Bas Jacobs, 2013. "From Optimal Tax Theory to Applied Tax Policy," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 69(3), pages 338-389, September.
    5. Ordover, J. A. & Phelps, E. S., 1979. "The concept of optimal taxation in the overlapping-generations model of capital and wealth," Journal of Public Economics, Elsevier, vol. 12(1), pages 1-26, August.
    6. 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.
    7. Jacobs, Bas & Boadway, Robin, 2014. "Optimal linear commodity taxation under optimal non-linear income taxation," Journal of Public Economics, Elsevier, vol. 117(C), pages 201-210.
    8. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    9. Peter Diamond & Emmanuel Saez, 2011. "The Case for a Progressive Tax: From Basic Research to Policy Recommendations," Journal of Economic Perspectives, American Economic Association, vol. 25(4), pages 165-190, Fall.
    10. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, April.
    11. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
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    Cited by:

    1. Bastani, Spencer & Waldenström, Daniel, 2018. "How Should Capital Be Taxed? Theory and Evidence from Sweden," IZA Discussion Papers 11475, Institute of Labor Economics (IZA).
    2. Spencer Bastani & Daniel Waldenström, 2020. "How Should Capital Be Taxed?," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 812-846, September.
    3. Spencer Bastani & Daniel Waldenström, 2018. "How should capital be taxed? The Swedish experience," World Inequality Lab Working Papers hal-02878153, HAL.

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    More about this item

    Keywords

    taxation of capital income; zero capital income tax; Corlett-Hague motive; Chamley-Judd result;
    All these keywords.

    JEL classification:

    • H2 - Public Economics - - Taxation, Subsidies, and Revenue

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