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The Wealth Distribution in Bewley Models with Investment Risk

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  • Shenghao Zhu

    (National University of Singapore)

  • Alberto Bisin

    (New York University)

  • Jess Benhabib

    (NYU)

Abstract

We study the wealth distribution in Bewley economies with idiosyncratic capital income risk (entrepreneurial risk). We find, under rather general conditions, a unique ergodic distribution of wealth which displays fat tails (a Pareto distribution in the right tail).

Suggested Citation

  • Shenghao Zhu & Alberto Bisin & Jess Benhabib, 2014. "The Wealth Distribution in Bewley Models with Investment Risk," 2014 Meeting Papers 617, Society for Economic Dynamics.
  • Handle: RePEc:red:sed014:617
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    1. Marco Cagetti & Mariacristina De Nardi, 2006. "Entrepreneurship, Frictions, and Wealth," Journal of Political Economy, University of Chicago Press, vol. 114(5), pages 835-870, October.
    2. Primiceri, Giorgio E. & van Rens, Thijs, 2009. "Heterogeneous life-cycle profiles, income risk and consumption inequality," Journal of Monetary Economics, Elsevier, vol. 56(1), pages 20-39, January.
    3. Vincenzo Quadrini, 2000. "Entrepreneurship, Saving and Social Mobility," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(1), pages 1-40, January.
    4. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    5. Imrohoroglu, Ayse, 1992. "The welfare cost of inflation under imperfect insurance," Journal of Economic Dynamics and Control, Elsevier, vol. 16(1), pages 79-91, January.
    6. Jonathan Heathcote, 2005. "Fiscal Policy with Heterogeneous Agents and Incomplete Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(1), pages 161-188.
    7. Hansen, Gary D & Imrohoroglu, Ayse, 1992. "The Role of Unemployment Insurance in an Economy with Liquidity Constraints and Moral Hazard," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 118-142, February.
    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. Gary Chamberlain & Charles A. Wilson, 2000. "Optimal Intertemporal Consumption Under Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 365-395, July.
    10. Bewley, Truman, 1977. "The permanent income hypothesis: A theoretical formulation," Journal of Economic Theory, Elsevier, vol. 16(2), pages 252-292, December.
    11. Clementi, F. & Gallegati, M., 2005. "Power law tails in the Italian personal income distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 427-438.
    12. Attanasio, Orazio & Davis, Steven J, 1996. "Relative Wage Movements and the Distribution of Consumption," Journal of Political Economy, University of Chicago Press, vol. 104(6), pages 1227-1262, December.
    13. Dirk Krueger & Fabrizio Perri, 2004. "On the Welfare Consequences of the Increase in Inequality in the United States," NBER Chapters, in: NBER Macroeconomics Annual 2003, Volume 18, pages 83-138, National Bureau of Economic Research, Inc.
    14. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, April.
    15. Storesletten, Kjetil & Telmer, Christopher I. & Yaron, Amir, 2004. "Consumption and risk sharing over the life cycle," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 609-633, April.
    16. Jess Benhabib & Alberto Bisin, 2006. "The distribution of wealth and redistributive policies," 2006 Meeting Papers 368, Society for Economic Dynamics.
    17. 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.
    18. Cagetti, Marco & De Nardi, Mariacristina, 2008. "Wealth Inequality: Data And Models," Macroeconomic Dynamics, Cambridge University Press, vol. 12(S2), pages 285-313, September.
    19. Mankiw, N. Gregory, 1986. "The equity premium and the concentration of aggregate shocks," Journal of Financial Economics, Elsevier, vol. 17(1), pages 211-219, September.
    20. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521871525, October.
    21. Christopher D. Carroll, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 1-55.
    22. Fisher Jonathan D & Johnson David S, 2006. "Consumption Mobility in the United States: Evidence from Two Panel Data Sets," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 6(1), pages 1-38, September.
    23. Christopher Carroll & Jiri Slacalek & Kiichi Tokuoka & Matthew N. White, 2017. "The distribution of wealth and the marginal propensity to consume," Quantitative Economics, Econometric Society, vol. 8(3), pages 977-1020, November.
    24. Huggett, Mark, 1996. "Wealth distribution in life-cycle economies," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 469-494, December.
    25. Fatih Guvenen, 2007. "Learning Your Earning: Are Labor Income Shocks Really Very Persistent?," American Economic Review, American Economic Association, vol. 97(3), pages 687-712, June.
    26. Tullio Jappelli & Luigi Pistaferri, 2006. "Intertemporal Choice and Consumption Mobility," Journal of the European Economic Association, MIT Press, vol. 4(1), pages 75-115, March.
    27. 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.
    28. Storesletten, Kjetil & Telmer, Chris I. & Yaron, Amir, 2001. "The welfare cost of business cycles revisited: Finite lives and cyclical variation in idiosyncratic risk," European Economic Review, Elsevier, vol. 45(7), pages 1311-1339.
    29. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2005. "Two Views of Inequality Over the Life Cycle," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 765-775, 04/05.
    30. John K. Dagsvik & Bjørn H. Vatne, 1999. "Is the Distribution of Income Compatible with a Stable Distribution?," Discussion Papers 246, Statistics Norway, Research Department.
    31. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2005. "Incomplete-market dynamics in a neoclassical production economy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 407-438, August.
    32. Schechtman, Jack, 1976. "An income fluctuation problem," Journal of Economic Theory, Elsevier, vol. 12(2), pages 218-241, April.
    33. 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.
    34. O. S. Klass & O. Biham & M. Levy & O. Malcai & S. Solomon, 2007. "The Forbes 400, the Pareto power-law and efficient markets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 55(2), pages 143-147, January.
    35. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    36. Schechtman, Jack & Escudero, Vera L. S., 1977. "Some results on "an income fluctuation problem"," Journal of Economic Theory, Elsevier, vol. 16(2), pages 151-166, December.
    37. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692083, October.
    38. Jess Benhabib & Shenghao Zhu, 2008. "Age, Luck, and Inheritance," NBER Working Papers 14128, National Bureau of Economic Research, Inc.
    39. 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.
    40. repec:bla:revinw:v:33:y:1987:i:3:p:231-56 is not listed on IDEAS
    41. Jerusalem D. Levhari & T. N. Srinivasan, 1969. "Optimal Savings under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(2), pages 153-163.
    42. Rabault, Guillaume, 2002. "When do borrowing constraints bind? Some new results on the income fluctuation problem," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 217-245, February.
    43. Luigi Pistaferri, 2003. "Anticipated and Unanticipated Wage Changes, Wage Risk, and Intertemporal Labor Supply," Journal of Labor Economics, University of Chicago Press, vol. 21(3), pages 729-754, July.
    44. Vincenzo Quadrini, 1999. "The Importance Of Entrepreneurship For Wealth Concentration And Mobility," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 45(1), pages 1-19, March.
    45. Makoto Nirei & Wataru Souma, 2007. "A Two Factor Model Of Income Distribution Dynamics," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(3), pages 440-459, September.
    46. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
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    Cited by:

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    2. Greg Kaplan & Benjamin Moll & Giovanni L. Violante, 2018. "Monetary Policy According to HANK," American Economic Review, American Economic Association, vol. 108(3), pages 697-743, March.
    3. Namkhaijantsan, Ninjin, 2018. "Consumption and Savings Behaviour under Household Heterogeneity and Mortgage Debt," MPRA Paper 107033, University Library of Munich, Germany.
    4. Raphaele Chappe & Willi Semmler, 2019. "Financial Market as Driver for Disparity in Wealth Accumulation—A Receding Horizon Approach," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 1231-1261, October.
    5. Yannick Malevergne & Didier Sornette, 2016. "Wealth and Income Inequalities ← → r > g," Swiss Finance Institute Research Paper Series 16-69, Swiss Finance Institute.
    6. Anindya S. Chakrabarti & Arnab Chatterjee & Tushar Nandi & Asim Ghosh & Anirban Chakraborti, 2018. "Quantifying invariant features of within-group inequality in consumption across groups," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(3), pages 469-490, October.
    7. Bar Light, 2018. "Precautionary Saving in a Markovian Earnings Environment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 29, pages 138-147, July.

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    More about this item

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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