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Optimal taxation of normal and excess returns to risky assets

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  • Robin Boadway
  • Kevin Spiritus

Abstract

We examine optimal linear taxes on normal and excess capital income with heterogeneous rates of return, alongside an optimal nonlinear earnings tax. Households optimize a portfolio containing three types of assets: risk‐free, diversifiable risky, and private investment with idiosyncratic risk and heterogeneous expected returns. We define normal capital income as the risk‐free rate times the size of the portfolio, and excess returns as any deviations from it. In this setting, taxing excess returns is ineffective for redistribution due to a Domar–Musgrave effect and only generates revenue, to be balanced against the cost of revenue uncertainty. Taxing normal returns does serve redistribution, as they reveal information about the investors' types beyond what the earnings tax base reveals.

Suggested Citation

  • Robin Boadway & Kevin Spiritus, 2025. "Optimal taxation of normal and excess returns to risky assets," Scandinavian Journal of Economics, Wiley Blackwell, vol. 127(2), pages 366-389, April.
    • Handle: RePEc:bla:scandj:v:127:y:2025:i:2:p:366-389
    DOI: 10.1111/sjoe.12566
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    1. W. J. Corlett & D. C. Hague, 1953. "Complementarity and the Excess Burden of Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 21(1), pages 21-30.
    2. Sergio Ocampo & Gueorgui Kambourov & Daphne Chen & Burhanettin Kuruscu & Fatih Guvenen, 2017. "Use It or Lose It: Efficiency Gains from Wealth Taxation," 2017 Meeting Papers 913, Society for Economic Dynamics.
    3. Xavier Gabaix & Jean‐Michel Lasry & Pierre‐Louis Lions & Benjamin Moll, 2016. "The Dynamics of Inequality," Econometrica, Econometric Society, vol. 84, pages 2071-2111, November.
    4. Florian Scheuer & Joel Slemrod, 2021. "Taxing Our Wealth," Journal of Economic Perspectives, American Economic Association, vol. 35(1), pages 207-230, Winter.
    5. Saez, Emmanuel, 2002. "The desirability of commodity taxation under non-linear income taxation and heterogeneous tastes," Journal of Public Economics, Elsevier, vol. 83(2), pages 217-230, February.
    6. Ufuk Akcigit & John Grigsby & Tom Nicholas & Stefanie Stantcheva, 2018. "Taxation and Innovation in the 20th Century," NBER Working Papers 24982, National Bureau of Economic Research, Inc.
    7. Vidar Christiansen, 1981. "Evaluation of Public Projects under Optimal Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 447-457.
    8. Aart Gerritsen & Bas Jacobs & Kevin Spiritus & Alexandra V Rusu, 2025. "Optimal Taxation of Capital Income with Heterogeneous Rates of Return," The Economic Journal, Royal Economic Society, vol. 135(665), pages 180-211.
    9. Jess Benhabib & Alberto Bisin & Mi Luo, 2019. "Wealth Distribution and Social Mobility in the US: A Quantitative Approach," American Economic Review, American Economic Association, vol. 109(5), pages 1623-1647, May.
    10. Emmanuel Saez & Gabriel Zucman, 2016. "Editor's Choice Wealth Inequality in the United States since 1913: Evidence from Capitalized Income Tax Data," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(2), pages 519-578.
    11. Andreas Fagereng & Luigi Guiso & Davide Malacrino & Luigi Pistaferri, 2020. "Heterogeneity and Persistence in Returns to Wealth," Econometrica, Econometric Society, vol. 88(1), pages 115-170, January.
    12. Jacquet, Laurence & Lehmann, Etienne & Van der Linden, Bruno, 2013. "Optimal redistributive taxation with both extensive and intensive responses," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1770-1805.
    13. Spiritus, Kevin & Lehmann, Etienne & Renes, Sander & Zoutman, Floris T., 2025. "Optimal taxation with multiple incomes and types," Theoretical Economics, Econometric Society, vol. 20(2), May.
    14. Henrik Kleven, 2020. "Sufficient Statistics Revisited," NBER Working Papers 27242, National Bureau of Economic Research, Inc.
    15. Christiansen, Vidar, 1984. "Which commodity taxes should supplement the income tax?," Journal of Public Economics, Elsevier, vol. 24(2), pages 195-220, July.
    16. Boháček, Radim & Kejak, Michal, 2018. "Optimal government policies in models with heterogeneous agents," Journal of Economic Theory, Elsevier, vol. 176(C), pages 834-858.
    17. Katrine Jakobsen & Kristian Jakobsen & Henrik Kleven & Gabriel Zucman, 2020. "Wealth Taxation and Wealth Accumulation: Theory and Evidence From Denmark," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(1), pages 329-388.
    18. Kaplow, Louis, 1994. "Taxation and Risk Taking: A General Equilibrium Perspective," National Tax Journal, National Tax Association, vol. 47(4), pages 789-98, December.
    19. Emmanuel Saez, 2001. "Using Elasticities to Derive Optimal Income Tax Rates," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 205-229.
    20. Roger H. Gordon, 1985. "Taxation of Corporate Capital Income: Tax Revenues Versus Tax Distortions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(1), pages 1-27.
    21. Vidar Christiansen, 1993. "A Normative Analysis of Capital Income Taxes in the Presence of Aggregate Risk," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 18(1), pages 55-76, June.
    22. Annamaria Lusardi & Pierre-Carl Michaud & Olivia S. Mitchell, 2017. "Optimal Financial Knowledge and Wealth Inequality," Journal of Political Economy, University of Chicago Press, vol. 125(2), pages 431-477.
    23. Diamond, P. A., 1975. "A many-person Ramsey tax rule," Journal of Public Economics, Elsevier, vol. 4(4), pages 335-342, November.
    24. Kaplow, Louis, 1994. "Taxation and Risk Taking: A General Equilibrium Perspective," National Tax Journal, National Tax Association;National Tax Journal, vol. 47(4), pages 789-798, December.
    25. Agnar Sandmo, 1977. "Portfolio Theory, Asset Demand and Taxation: Comparative Statics with Many Assets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 369-379.
    26. Mikhail Golosov & Aleh Tsyvinski & Nicolas Werquin, 2014. "A Variational Approach to the Analysis of Tax Systems," NBER Working Papers 20780, National Bureau of Economic Research, Inc.
    27. J. E. Stiglitz, 1969. "The Effects of Income, Wealth, and Capital Gains Taxation on Risk-Taking," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 83(2), pages 263-283.
    28. Spiritus, Kevin & Lehmann, Etienne & Renes, Sander & Zoutman, Floris T., 2025. "Optimal taxation with multiple incomes and types," Theoretical Economics, Econometric Society, vol. 20(2), May.
    29. Spencer Bastani & Daniel Waldenström, 2020. "How Should Capital Be Taxed?," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 812-846, September.
    30. Evsey D. Domar & Richard A. Musgrave, 1944. "Proportional Income Taxation and Risk-Taking," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 58(3), pages 388-422.
    31. Gahvari, Firouz & Micheletto, Luca, 2016. "Capital income taxation and the Atkinson–Stiglitz theorem," Economics Letters, Elsevier, vol. 147(C), pages 86-89.
    32. Dirk Schindler, 2008. "Taxing Risky Capital Income - A Commodity Taxation Approach," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 64(3), pages 311-333, September.
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    More about this item

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies

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