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Wealth Distribution with Random Discount Factors

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  • Toda, Alexis Akira

Abstract

To explain the Pareto tail behavior empirically observed in wealth distributions, the quantitative macro literature has occasionally assumed that agents have random discount factors. This paper formally proves that the stationary wealth distribution in a simple Huggett model with random discounting has power law tails and characterizes the Pareto exponents analytically. I find that in general there is no clear relationship between the return on wealth and inequality and that the Pareto exponent is highly sensitive to the persistence of the discount factor process. I also provide a practical guidance for how to characterize the Pareto exponents in richer models.
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  • Toda, Alexis Akira, 2017. "Wealth Distribution with Random Discount Factors," University of California at San Diego, Economics Working Paper Series qt5n29f260, Department of Economics, UC San Diego.
    • Handle: RePEc:cdl:ucsdec:qt5n29f260
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    Cited by:

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    2. Yuya Sasaki & Yulong Wang, 2022. "Fixed-k Inference for Conditional Extremal Quantiles," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(2), pages 829-837, April.
    3. Stachurski, John & Toda, Alexis Akira, 2019. "An impossibility theorem for wealth in heterogeneous-agent models with limited heterogeneity," Journal of Economic Theory, Elsevier, vol. 182(C), pages 1-24.
    4. Brendan K. Beare & Alexis Akira Toda, 2022. "Determination of Pareto Exponents in Economic Models Driven by Markov Multiplicative Processes," Econometrica, Econometric Society, vol. 90(4), pages 1811-1833, July.
    5. Ma, Qingyin & Stachurski, John & Toda, Alexis Akira, 2020. "The income fluctuation problem and the evolution of wealth," Journal of Economic Theory, Elsevier, vol. 187(C).
    6. Thomas J. Sargent & John Stachurski, 2024. "Dynamic Programming: Finite States," Papers 2401.10473, arXiv.org.
    7. Jaroslav Borovička & John Stachurski, 2020. "Necessary and Sufficient Conditions for Existence and Uniqueness of Recursive Utilities," Journal of Finance, American Finance Association, vol. 75(3), pages 1457-1493, June.
    8. Conesa, Juan Carlos & Li, Bo & Li, Qian, 2020. "Welfare implications of switching to consumption taxation," Journal of Economic Dynamics and Control, Elsevier, vol. 120(C).
    9. Cao, Dan, 2020. "Recursive equilibrium in Krusell and Smith (1998)," Journal of Economic Theory, Elsevier, vol. 186(C).
    10. Ma, Qingyin & Toda, Alexis Akira, 2022. "Asymptotic linearity of consumption functions and computational efficiency," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    11. Aditya Aladangady & Etienne Gagnon & Benjamin K. Johannsen & William B. Peterman, 2021. "Macroeconomic Implications of Inequality and Income Risk," Finance and Economics Discussion Series 2021-073, Board of Governors of the Federal Reserve System (U.S.).

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    Keywords

    Social and Behavioral Sciences;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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