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On Vickrey's Income Averaging

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  • Stefan Steinerberger
  • Aleh Tsyvinski

Abstract

We consider a small set of axioms for income averaging -- recursivity, continuity, and the boundary condition for the present. These properties yield a unique averaging function that is the density of the reflected Brownian motion with a drift started at the current income and moving over the past incomes. When averaging is done over the short past, the weighting function is asymptotically converging to a Gaussian. When averaging is done over the long horizon, the weighing function converges to the exponential distribution. For all intermediate averaging scales, we derive an explicit solution that interpolates between the two.

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  • Stefan Steinerberger & Aleh Tsyvinski, 2020. "On Vickrey's Income Averaging," Papers 2004.06289, arXiv.org.
    • Handle: RePEc:arx:papers:2004.06289
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    References listed on IDEAS

    as
    1. Mark Huggett & Juan Carlos Parra, 2010. "How Well Does the U.S. Social Insurance System Provide Social Insurance?," Journal of Political Economy, University of Chicago Press, vol. 118(1), pages 76-112, February.
    2. William Vickrey, 1939. "Averaging of Income for Income-Tax Purposes," Journal of Political Economy, University of Chicago Press, vol. 47(3), pages 379-379.
    3. Marek Kapicka, 2017. "Quantifying the Welfare Gains from History Dependent Income Taxation," 2017 Meeting Papers 271, Society for Economic Dynamics.
    4. Diamond, Peter, 2010. "Taxes and Pensions," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 6, pages 59-74.
    5. Daniel V. Gordon & Jean-François Wen, 2018. "Tax penalties on fluctuating incomes: estimates from longitudinal data," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 25(2), pages 430-457, April.
    6. 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.
    7. Holt, Charles C., 2004. "Forecasting seasonals and trends by exponentially weighted moving averages," International Journal of Forecasting, Elsevier, vol. 20(1), pages 5-10.
    8. Emmanuel Saez, 2002. "Optimal Income Transfer Programs: Intensive versus Extensive Labor Supply Responses," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 1039-1073.
    9. Peter Diamond, 2009. "Taxes and Pensions," Southern Economic Journal, John Wiley & Sons, vol. 76(1), pages 2-15, July.
    10. Peter W. Glynn & Rob J. Wang, 2018. "On the rate of convergence to equilibrium for reflected Brownian motion," Queueing Systems: Theory and Applications, Springer, vol. 89(1), pages 165-197, June.
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    JEL classification:

    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General

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