IDEAS home Printed from https://ideas.repec.org/a/eee/moneco/v94y2018icp60-78.html
   My bibliography  Save this article

Risk, uncertainty, and the dynamics of inequality

Author

Listed:
  • Kasa, Kenneth
  • Lei, Xiaowen

Abstract

The dynamics of wealth inequality are studied in a continuous-time Blanchard/Yaari model. Investment returns are idiosyncratic and subject to Knightian uncertainty. In response, agents formulate robust portfolio policies. These policies are nonhomothetic; wealthy agents invest a higher fraction of their wealth in uncertain assets yielding higher mean returns. This produces a feedback mechanism that amplifies inequality. It also produces an accelerated rate of convergence, which helps resolve a puzzle recently identified by Gabaix et al. (2016). An empirically plausible increase in uncertainty can account for about half of the recent increase in top wealth shares.

Suggested Citation

  • Kasa, Kenneth & Lei, Xiaowen, 2018. "Risk, uncertainty, and the dynamics of inequality," Journal of Monetary Economics, Elsevier, vol. 94(C), pages 60-78.
    • Handle: RePEc:eee:moneco:v:94:y:2018:i:c:p:60-78
    DOI: 10.1016/j.jmoneco.2017.11.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030439321730140X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmoneco.2017.11.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Xavier Gabaix & Jean‐Michel Lasry & Pierre‐Louis Lions & Benjamin Moll, 2016. "The Dynamics of Inequality," Econometrica, Econometric Society, vol. 84, pages 2071-2111, November.
    2. Thomas Piketty & Emmanuel Saez & Stefanie Stantcheva, 2014. "Optimal Taxation of Top Labor Incomes: A Tale of Three Elasticities," American Economic Journal: Economic Policy, American Economic Association, vol. 6(1), pages 230-271, February.
    3. Benhabib, Jess & Bisin, Alberto & Zhu, Shenghao, 2016. "The Distribution Of Wealth In The Blanchard–Yaari Model," Macroeconomic Dynamics, Cambridge University Press, vol. 20(2), pages 466-481, March.
    4. Jaroslav Borovicka, 2009. "Heterogeneous beliefs under recursive preferences," 2009 Meeting Papers 892, Society for Economic Dynamics.
    5. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Misspecification," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 6, pages 155-216, World Scientific Publishing Co. Pte. Ltd..
    6. Lars Peter Hansen & Thomas J Sargent, 2014. "Doubts or Variability?," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 7, pages 217-256, World Scientific Publishing Co. Pte. Ltd..
    7. Lars Ljungqvist & Thomas J. Sargent, 1998. "The European Unemployment Dilemma," Journal of Political Economy, University of Chicago Press, vol. 106(3), pages 514-550, June.
    8. Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2011. "The Distribution of Wealth and Fiscal Policy in Economies With Finitely Lived Agents," Econometrica, Econometric Society, vol. 79(1), pages 123-157, January.
    9. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
    10. Anderson, Evan W. & Hansen, Lars Peter & Sargent, Thomas J., 2012. "Small noise methods for risk-sensitive/robust economies," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 468-500.
    11. Wojciech Kopczuk, 2015. "What Do We Know about the Evolution of Top Wealth Shares in the United States?," Journal of Economic Perspectives, American Economic Association, vol. 29(1), pages 47-66, Winter.
    12. Hans, Erwin & Wullink, Gerhard & van Houdenhoven, Mark & Kazemier, Geert, 2008. "Robust surgery loading," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1038-1050, March.
    13. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    14. Thomas J. Sargent & Riccardo Colacito & Lars P. Hansen & Timothy Cogley, 2008. "Robustness and US Monetary," 2008 Meeting Papers 228, Society for Economic Dynamics.
    15. Duffie, Darrel & Lions, Pierre-Louis, 1992. "PDE solutions of stochastic differential utility," Journal of Mathematical Economics, Elsevier, vol. 21(6), pages 577-606.
    16. Charles I. Jones, 2015. "Pareto and Piketty: The Macroeconomics of Top Income and Wealth Inequality," Journal of Economic Perspectives, American Economic Association, vol. 29(1), pages 29-46, Winter.
    17. Toda, Alexis Akira, 2014. "Incomplete market dynamics and cross-sectional distributions," Journal of Economic Theory, Elsevier, vol. 154(C), pages 310-348.
    18. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    19. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-394, March.
    20. Kaymak, Barış & Poschke, Markus, 2016. "The evolution of wealth inequality over half a century: The role of taxes, transfers and technology," Journal of Monetary Economics, Elsevier, vol. 77(C), pages 1-25.
    21. Peter Gottschalk & Robert Moffitt, 1994. "The Growth of Earnings Instability in the U.S. Labor Market," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 25(2), pages 217-272.
    22. 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.
    23. Huggett, Mark, 1996. "Wealth distribution in life-cycle economies," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 469-494, December.
    24. Ana Castaneda & Javier Diaz-Gimenez & Jose-Victor Rios-Rull, 2003. "Accounting for the U.S. Earnings and Wealth Inequality," Journal of Political Economy, University of Chicago Press, vol. 111(4), pages 818-857, August.
    25. Andreas Fagereng & Luigi Guiso & Davide Malacrino & Luigi Pistaferri, 2016. "Heterogeneity in Returns to Wealth and the Measurement of Wealth Inequality," American Economic Review, American Economic Association, vol. 106(5), pages 651-655, May.
    26. Jess Benhabib & Alberto Bisin, 2018. "Skewed Wealth Distributions: Theory and Empirics," Journal of Economic Literature, American Economic Association, vol. 56(4), pages 1261-1291, December.
    27. repec:hal:pseose:halshs-00944873 is not listed on IDEAS
    28. Timothy Cogley & Riccardo Colacito & Lars Peter Hansen & Thomas J. Sargent, 2008. "Robustness and U.S. Monetary Policy Experimentation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(8), pages 1599-1623, December.
    29. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," The Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
    30. Ulrike Malmendier & Stefan Nagel, 2016. "Learning from Inflation Experiences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(1), pages 53-87.
    31. 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.
    32. Li-Lin Ku & Chien-Pai Han, 2008. "Robust testing procedures of process locations," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(5), pages 579-595, October.
    33. Tobias J. Moskowitz & Annette Vissing-Jørgensen, 2002. "The Returns to Entrepreneurial Investment: A Private Equity Premium Puzzle?," American Economic Review, American Economic Association, vol. 92(4), pages 745-778, September.
    34. Lars Peter Hansen & Thomas J Sargent, 2014. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 4, pages 83-143, World Scientific Publishing Co. Pte. Ltd..
    35. Gueorgui Kambourov & Iourii Manovskii, 2009. "Occupational Mobility and Wage Inequality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(2), pages 731-759.
    36. Karen E. Dynan & Jonathan Skinner & Stephen P. Zeldes, 2004. "Do the Rich Save More?," Journal of Political Economy, University of Chicago Press, vol. 112(2), pages 397-444, April.
    37. Lars Peter Hansen & Thomas J. Sargent, 2008. "Time Inconsistency of Robust Control?," Chapters, in: Roger E.A. Farmer (ed.), Macroeconomics in the Small and the Large, chapter 7, Edward Elgar Publishing.
    38. George-Marios Angeletos, 2007. "Uninsured Idiosyncratic Investment Risk and Aggregate Saving," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(1), pages 1-30, January.
    39. Jess Benhabib & Alberto Bisin & Mi Luo, 2017. "Earnings Inequality and Other Determinants of Wealth Inequality," American Economic Review, American Economic Association, vol. 107(5), pages 593-597, May.
    40. Duffie, Darrell & Epstein, Larry G, 1992. "Asset Pricing with Stochastic Differential Utility," The Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 411-436.
    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. Khieu, Hoang & Wälde, Klaus, 2023. "Capital income risk and the dynamics of the wealth distribution," Economic Modelling, Elsevier, vol. 122(C).
    2. Kacperczyk, Marcin & Nosal, Jaromir & Stevens, Luminita, 2019. "Investor sophistication and capital income inequality," Journal of Monetary Economics, Elsevier, vol. 107(C), pages 18-31.
    3. Matthias Birkner & Niklas Scheuer & Klaus Wälde, 2023. "The dynamics of Pareto distributed wealth in a small open economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 607-644, August.
    4. Andreas Fagereng & Martin Blomhoff Holm & Benjamin Moll & Gisle Natvik, 2019. "Saving Behavior Across the Wealth Distribution: The Importance of Capital Gains," NBER Working Papers 26588, National Bureau of Economic Research, Inc.
    5. Obiakor, Rowland & Akpa, Emeka & Okwu, Andy, 2022. "Economic Size, Uncertainty, and Income Inequality in Nigeria," MPRA Paper 113637, University Library of Munich, Germany.
    6. Yulei Luo & Jun Nie & Haijun Wang, 2023. "Ambiguous Consumption and Asset Allocation with Unknown Markovian Income Growth," Annals of Economics and Finance, Society for AEF, vol. 24(2), pages 237-275, November.
    7. Klaus Prettner & Andreas Schaefer, 2021. "The U‐Shape of Income Inequality over the 20th Century: The Role of Education," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(2), pages 645-675, April.
    8. Fischer, Manfred M. & Huber, Florian & Pfarrhofer, Michael, 2021. "The regional transmission of uncertainty shocks on income inequality in the United States," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 887-900.
    9. Edouard Djeutem & Shaofeng Xu, 2019. "Model Uncertainty and Wealth Distribution," Staff Working Papers 19-48, Bank of Canada.
    10. Beare, Brendan K. & Seo, Won-Ki & Toda, Alexis Akira, 2022. "Tail Behavior Of Stopped Lévy Processes With Markov Modulation," Econometric Theory, Cambridge University Press, vol. 38(5), pages 986-1013, October.
    11. Toda, Alexis Akira, 2019. "Wealth distribution with random discount factors," Journal of Monetary Economics, Elsevier, vol. 104(C), pages 101-113.
    12. Goodness C. Aye & Laurence Harris, 2019. "The effect of real exchange rate volatility on income distribution in South Africa," WIDER Working Paper Series wp-2019-29, World Institute for Development Economic Research (UNU-WIDER).
    13. Émilien Gouin‐Bonenfant & Alexis Akira Toda, 2023. "Pareto extrapolation: An analytical framework for studying tail inequality," Quantitative Economics, Econometric Society, vol. 14(1), pages 201-233, January.
    14. Luo, Yulei & Nie, Jun & Wang, Haijun, 2022. "Ignorance, pervasive uncertainty, and household finance," Journal of Economic Theory, Elsevier, vol. 199(C).
    15. Yves Achdou & Jiequn Han & Jean-Michel Lasry & Pierre-Louis Lions & Benjamin Moll, 2017. "Income and Wealth Distribution in Macroeconomics: A Continuous-Time Approach," NBER Working Papers 23732, National Bureau of Economic Research, Inc.
    16. Lei, Xiaowen, 2019. "Information and Inequality," Journal of Economic Theory, Elsevier, vol. 184(C).
    17. Fischer, Thomas, 2019. "Determinants of Wealth Inequality and Mobility in General Equilibrium," Working Papers 2019:22, Lund University, Department of Economics.
    18. Yulei Luo & Jun Nie & Eric R Young, 2020. "Ambiguity, Low Risk-Free Rates and Consumption Inequality," The Economic Journal, Royal Economic Society, vol. 130(632), pages 2649-2679.
    19. Böhl, Gregor & Fischer, Thomas, 2017. "Can taxation predict US top-wealth share dynamics?," IMFS Working Paper Series 118, Goethe University Frankfurt, Institute for Monetary and Financial Stability (IMFS).
    20. 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.).
    21. Theophilopoulou, Angeliki, 2018. "The impact of macroeconomic uncertainty on inequality: An empirical study for the UK," MPRA Paper 90448, University Library of Munich, Germany.

    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. Lei, Xiaowen, 2019. "Information and Inequality," Journal of Economic Theory, Elsevier, vol. 184(C).
    2. Dan Cao & Wenlan Luo, 2017. "Persistent Heterogeneous Returns and Top End Wealth Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 26, pages 301-326, October.
    3. Khieu, Hoang & Wälde, Klaus, 2023. "Capital income risk and the dynamics of the wealth distribution," Economic Modelling, Elsevier, vol. 122(C).
    4. Hansen, Lars Peter & Sargent, Thomas J., 2011. "Robustness and ambiguity in continuous time," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1195-1223, May.
    5. 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.
    6. Toda, Alexis Akira, 2019. "Wealth distribution with random discount factors," Journal of Monetary Economics, Elsevier, vol. 104(C), pages 101-113.
    7. Shuhei Aoki & Makoto Nirei, 2014. "Zipf’s Law, Pareto’s Law, and the Evolution of Top Incomes in the U.S," UTokyo Price Project Working Paper Series 023, University of Tokyo, Graduate School of Economics.
    8. 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).
    9. Hubar, Sylwia & Koulovatianos, Christos & Li, Jian, 2020. "The role of labor-income risk in household risk-taking," European Economic Review, Elsevier, vol. 129(C).
    10. Joachim Hubmer & Per Krusell & Anthony A. Smith Jr., 2020. "Sources of US Wealth Inequality: Past, Present, and Future," NBER Chapters, in: NBER Macroeconomics Annual 2020, volume 35, pages 391-455, National Bureau of Economic Research, Inc.
    11. 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.
    12. Mariacristina De Nardi & Giulio Fella, 2017. "Saving and Wealth Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 26, pages 280-300, October.
    13. Shuhei Aoki & Makoto Nirei, 2016. "Pareto Distribution of Income in Neoclassical Growth Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 25-42, April.
    14. Gouin-Bonenfant, Emilien & Toda, Alexis Akira, 2018. "Pareto Extrapolation: Bridging Theoretical and Quantitative Models of Wealth Inequality," University of California at San Diego, Economics Working Paper Series qt90n2h2bb, Department of Economics, UC San Diego.
    15. Per Krusell & Anthony Smith & Joachim Hubmer, 2015. "The historical evolution of the wealth distribution: A quantitative-theoretic investigation," 2015 Meeting Papers 1406, Society for Economic Dynamics.
    16. Moritz Kuhn & Moritz Schularick & Ulrike I. Steins, 2020. "Income and Wealth Inequality in America, 1949–2016," Journal of Political Economy, University of Chicago Press, vol. 128(9), pages 3469-3519.
    17. Miyoshi, Yoshiyuki & Toda, Alexis Akira, 2017. "Growth effects of annuities and government transfers in perpetual youth models," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 1-6.
    18. Jess Benhabib & Alberto Bisin, 2018. "Skewed Wealth Distributions: Theory and Empirics," Journal of Economic Literature, American Economic Association, vol. 56(4), pages 1261-1291, December.
    19. Tarek Benjamin Moll & Lukasz Rachel & Pascual Restrepo, 2019. "Uneven Growth: Automation’s Impact on Income and Wealth Inequality," Boston University - Department of Economics - The Institute for Economic Development Working Papers Series dp-333, Boston University - Department of Economics.
    20. Yulei Luo & Jun Nie & Eric R Young, 2020. "Ambiguity, Low Risk-Free Rates and Consumption Inequality," The Economic Journal, Royal Economic Society, vol. 130(632), pages 2649-2679.

    More about this item

    Keywords

    Inequality; Robustness;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    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:eee:moneco:v:94:y:2018:i:c:p:60-78. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505566 .

    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.