IDEAS home Printed from https://ideas.repec.org/p/yor/yorken/12-13.html
   My bibliography  Save this paper

Optimal Savings Taxation when Individuals have Different CRRA Utility Functions

Author

Listed:
  • Alan Krause

Abstract

Recent empirical research has found that high-skill individuals tend to be less risk averse than low-skill individuals, which implies that their respective constant relative risk aversion (CRRA) utility functions have different curvature. This paper examines the effects of this form of preference heterogeneity on the classic question of whether taxing savings is desirable when the government also implements optimal nonlinear income taxation. It is shown that taxing or subsidising savings may be optimal, even if labour is separable from consumption in the utility function. Specifically, if the individuals' discount rate is lower (resp. higher) than the market interest rate, it is optimal to tax (resp. subsidise) savings. If the individuals' discount rate is equal to the market interest rate, zero taxation of savings is optimal. This basic relationship holds under both linear and nonlinear taxation of savings.

Suggested Citation

  • Alan Krause, 2012. "Optimal Savings Taxation when Individuals have Different CRRA Utility Functions," Discussion Papers 12/13, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:12/13
    as

    Download full text from publisher

    File URL: https://www.york.ac.uk/media/economics/documents/discussionpapers/2012/1213.pdf
    File Function: Main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Cremer, Helmuth & Pestieau, Pierre & Rochet, Jean-Charles, 2001. "Direct versus Indirect Taxation: The Design of the Tax Structure Revisted," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(3), pages 781-799, August.
    2. Cremer, Helmuth & Pestieau, Pierre & Rochet, Jean-Charles, 2003. "Capital income taxation when inherited wealth is not observable," Journal of Public Economics, Elsevier, vol. 87(11), pages 2475-2490, October.
    3. Sören Blomquist & Vidar Christiansen, 2008. "Taxation and Heterogeneous Preferences," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 64(2), pages 218-244, June.
    4. Christiansen, Vidar, 1984. "Which commodity taxes should supplement the income tax?," Journal of Public Economics, Elsevier, vol. 24(2), pages 195-220, July.
    5. Naito, Hisahiro, 1999. "Re-examination of uniform commodity taxes under a non-linear income tax system and its implication for production efficiency," Journal of Public Economics, Elsevier, vol. 71(2), pages 165-188, February.
    6. Hanming Fang, 2006. "Disentangling The College Wage Premium: Estimating A Model With Endogenous Education Choices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(4), pages 1151-1185, November.
    7. Charles Blackorby & Craig Brett, 2004. "Production Efficiency and the Direct‐Indirect Tax Mix," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(1), pages 165-180, February.
    8. Thomas Aronsson & Olof Johansson‐Stenman, 2010. "Positional Concerns In An Olg Model: Optimal Labor And Capital Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(4), pages 1071-1095, November.
    9. Jang‐Ting Guo & Alan Krause, 2011. "Optimal Nonlinear Income Taxation with Habit Formation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(3), pages 463-480, June.
    10. 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.
    11. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    12. Claudia Goldin & Lawrence F. Katz, 2007. "The Race between Education and Technology: The Evolution of U.S. Educational Wage Differentials, 1890 to 2005," NBER Working Papers 12984, National Bureau of Economic Research, Inc.
    13. 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.
    14. Aronsson, Thomas & Johansson-Stenman, Olof, 2008. "When the Joneses' consumption hurts: Optimal public good provision and nonlinear income taxation," Journal of Public Economics, Elsevier, vol. 92(5-6), pages 986-997, June.
    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. Jang-Ting Guo & Alan Krause, 2018. "Changing social preferences and optimal redistributive taxation," Oxford Economic Papers, Oxford University Press, vol. 70(1), pages 73-92.
    2. Soriano-Morales, Y. V. & Vallejo-Jiménez, Benjamín & Venegas-Martínez, Francisco, 2017. "Impact of the degree of relative risk aversion, the interest rate and the exchange rate depreciation on economic welfare in a small open economy," Panorama Económico, Escuela Superior de Economía, Instituto Politécnico Nacional, vol. 13(25), pages 7-24, Primer se.

    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. Spencer Bastani & Sebastian Koehne, 2022. "How Should Consumption Be Taxed?," CESifo Working Paper Series 10038, CESifo.
    2. Julien Daubanes & Pierre Lasserre, 2011. "Optimum Commodity Taxation with a Non-Renewable Resource," CIRANO Working Papers 2011s-05, CIRANO.
    3. Fleurbaey, Marc, 2006. "Is commodity taxation unfair?," Journal of Public Economics, Elsevier, vol. 90(10-11), pages 1765-1787, November.
    4. Carlos E. da Costa, 2009. "Yet Another Reason to Tax Goods," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(2), pages 363-376, April.
    5. Cui, Xiaoyong & Gong, Liutang & Li, Wenjian, 2021. "Supply-side optimal capital taxation with endogenous wage inequality," Journal of Public Economics, Elsevier, vol. 198(C).
    6. Robin Boadway & Katherine Cuff, 2023. "The Case for Uniform Commodity Taxation: A Tax Reform Approach," Hacienda Pública Española / Review of Public Economics, IEF, vol. 244(1), pages 79-109, March.
    7. Xavier Ruiz del Portal, 2020. "Two reasons for not using commodity taxation in the presence of an optimal income tax," Hacienda Pública Española / Review of Public Economics, IEF, vol. 232(1), pages 9-28, March.
    8. Chen, Yunmin & Guo, Jang-Ting & Krause, Alan, 2020. "The credibility of commitment and optimal nonlinear savings taxation," Journal of Macroeconomics, Elsevier, vol. 65(C).
    9. Johann K. Brunner & Susanne Pech, 2012. "Optimal Taxation of Bequests in a Model with Initial Wealth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(4), pages 1368-1392, December.
    10. Eddy Zanoutene, 2023. "Scale‐dependent and risky returns to savings: Consequences for optimal capital taxation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(3), pages 532-569, June.
    11. Obara Takuya & Tsugawa Shuichi, 2019. "Public Good Provision Financed by Nonlinear Income Tax Under Reduction of Envy," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 19(4), pages 1-16, October.
    12. Vidar Christiansen & Matti Tuomala, 2008. "On taxing capital income with income shifting," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 15(4), pages 527-545, August.
    13. Spencer Bastani & Daniel Waldenström, 2020. "How Should Capital Be Taxed?," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 812-846, September.
    14. 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.
    15. Marie‐Louise Leroux & Pierre Pestieau, 2023. "Age‐ and health‐related non‐linear inheritance taxation," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 56(3), pages 897-912, August.
    16. Aronsson, Thomas & Johansson-Stenman, Olof & Wendner, Ronald, 2021. "Charity, Status, and Optimal Taxation: Welfarist and Non-Welfarist Approaches," MPRA Paper 108337, University Library of Munich, Germany.
    17. Naito, Hisahiro, 2004. "Endogenous human capital accumulation, comparative advantage and direct vs. indirect redistribution," Journal of Public Economics, Elsevier, vol. 88(12), pages 2685-2710, December.
    18. Dan Anderberg & Alessandro Balestrino, 2000. "Household Production and the Design of the Tax Structure," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 7(4), pages 563-584, August.
    19. Kaplow, Louis, 2006. "On the undesirability of commodity taxation even when income taxation is not optimal," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1235-1250, August.
    20. John T. Revesz, 2014. "A Numerical Model of Optimal Differentiated Indirect Taxation," Hacienda Pública Española / Review of Public Economics, IEF, vol. 211(4), pages 9-66, December.

    More about this item

    Keywords

    Savings taxation; nonlinear income taxation; preference heterogeneity.;
    All these keywords.

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies

    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:yor:yorken:12/13. 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: Paul Hodgson (email available below). General contact details of provider: https://edirc.repec.org/data/deyoruk.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.