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Age, Luck, and Inheritance

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  • Jess Benhabib
  • Shenghao Zhu

Abstract

We present a mechanism to analytically generate a double Pareto distribution of wealth in a continuous time OLG model with optimizing agents who have bequest motives, are subject to stochastic returns on capital and have uncertain lifespans. We disentangle, roughly, the contribution of inheritance, age and stochastic rates of capital return to wealth inequality, in particular to the Gini coefficient. We investigate the role of the fiscal and redistributive policies for wealth inequality and social welfare.

Suggested Citation

  • Jess Benhabib & Shenghao Zhu, 2008. "Age, Luck, and Inheritance," NBER Working Papers 14128, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:14128
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    1. Luisa Fuster, 2000. "Capital Accumulation in an Economy with Dynasties and Uncertain Lifetimes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 650-674, October.
    2. Chipman, John S., 1974. "The welfare ranking of Pareto distributions," Journal of Economic Theory, Elsevier, vol. 9(3), pages 275-282, November.
    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. Sinha, Sitabhra, 2006. "Evidence for power-law tail of the wealth distribution in India," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 555-562.
    5. Wojciech Kopczuk & Joseph P. Lupton, 2007. "To Leave or Not to Leave: The Distribution of Bequest Motives," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(1), pages 207-235.
    6. Drăgulescu, Adrian & Yakovenko, Victor M., 2001. "Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 213-221.
    7. Richard, Scott F., 1975. "Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model," Journal of Financial Economics, Elsevier, vol. 2(2), pages 187-203, June.
    8. Jess Benhabib & Alberto Bisin, 2006. "The distribution of wealth and redistributive policies," 2006 Meeting Papers 368, Society for Economic Dynamics.
    9. William G. Gale & John Karl Scholz, 1994. "Intergenerational Transfers and the Accumulation of Wealth," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 145-160, Fall.
    10. Klass, Oren S. & Biham, Ofer & Levy, Moshe & Malcai, Ofer & Solomon, Sorin, 2006. "The Forbes 400 and the Pareto wealth distribution," Economics Letters, Elsevier, vol. 90(2), pages 290-295, February.
    11. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    12. 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.
    13. Huggett, Mark, 1996. "Wealth distribution in life-cycle economies," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 469-494, December.
    14. Mariacristina De Nardi, 2004. "Wealth Inequality and Intergenerational Links," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 743-768.
    15. 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.
    16. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    17. Abel, Andrew B & Warshawsky, Mark, 1988. "Specification of the Joy of Giving: Insights from Altruism," The Review of Economics and Statistics, MIT Press, vol. 70(1), pages 145-149, February.
    18. Kotlikoff, Laurence J & Summers, Lawrence H, 1981. "The Role of Intergenerational Transfers in Aggregate Capital Accumulation," Journal of Political Economy, University of Chicago Press, vol. 89(4), pages 706-732, August.
    19. Javier Diaz-Gimenez & Vincenzo Quadrini & José-Víctor Ríos-Rull & Santiago Budria Rodriguez, 2002. "Updated facts on the U.S. distributions of earnings, income, and wealth," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 26(Sum), pages 2-35.
    20. Cagetti, Marco & De Nardi, Mariacristina, 2008. "Wealth Inequality: Data And Models," Macroeconomic Dynamics, Cambridge University Press, vol. 12(S2), pages 285-313, September.
    21. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    22. Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-791, September.
    23. 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.
    24. Hendricks, Lutz, 2007. "How important is discount rate heterogeneity for wealth inequality?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3042-3068, September.
    25. Levy, Moshe & Solomon, Sorin, 1997. "New evidence for the power-law distribution of wealth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 90-94.
    26. Hegyi, Géza & Néda, Zoltán & Augusta Santos, Maria, 2007. "Wealth distribution and Pareto's law in the Hungarian medieval society," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 271-277.
    27. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
    28. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    29. Levy, Moshe, 2003. "Are rich people smarter?," Journal of Economic Theory, Elsevier, vol. 110(1), pages 42-64, May.
    30. Sornette, Didier, 1998. "Linear stochastic dynamics with nonlinear fractal properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 250(1), pages 295-314.
    31. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    32. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    33. 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.
    34. 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.
    35. Wang, Neng, 2007. "An equilibrium model of wealth distribution," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1882-1904, October.
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    Cited by:

    1. Angeletos, George-Marios & Panousi, Vasia, 2011. "Financial integration, entrepreneurial risk and global dynamics," Journal of Economic Theory, Elsevier, vol. 146(3), pages 863-896, May.
    2. Marc Fleurbaey & Marie‐Louise Leroux & Pierre Pestieau & Gregory Ponthiere & Stephane Zuber, 2022. "Premature deaths, accidental bequests, and fairness," Scandinavian Journal of Economics, Wiley Blackwell, vol. 124(3), pages 709-743, July.
    3. 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.
    4. George-Marios Angeletos & Vasia Panousi, 2011. "Financial Integration, Entrepreneurial Risk and Global Imbalances," NBER Working Papers 16761, National Bureau of Economic Research, Inc.
    5. Panousi, Vasia, 2009. "Capital Taxation with Entrepreneurial Risk," MPRA Paper 24237, University Library of Munich, Germany.
    6. 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.
    7. Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2014. "The Wealth Distribution in Bewley Models with Investment Risk," NBER Working Papers 20157, National Bureau of Economic Research, Inc.
    8. Panousi, Vasia, 2009. "Financial Integration and Capital Accumulation," MPRA Paper 24238, University Library of Munich, Germany.
    9. Jason M. DeBacker & Bradley T. Heim & Vasia Panousi & Shanthi Ramnath & Ivan Vidangos, 2012. "The properties of income risk in privately held businesses," Finance and Economics Discussion Series 2012-69, Board of Governors of the Federal Reserve System (U.S.).
    10. Sarah Goldman & Shouyi Zhang, 2022. "Quantitative Easing, Households’ Savings and Growth: A Luxembourgish Case Study," Economic Research Guardian, Weissberg Publishing, vol. 12(1), pages 45-54, June.
    11. Hajargasht, Gholamreza & Griffiths, William E., 2013. "Pareto–lognormal distributions: Inequality, poverty, and estimation from grouped income data," Economic Modelling, Elsevier, vol. 33(C), pages 593-604.
    12. Gholamreza Hajargasht and William E. Griffiths, 2012. "Pareto-Lognormal Income Distributions:Inequality and Poverty Measures, Estimation and Performance," Department of Economics - Working Papers Series 1149, The University of Melbourne.
    13. Sarah Goldman & Shouyi Zhang, 2022. "Quantitative Easing, Households' Savings and Growth: A Luxembourgish Case Study," Post-Print hal-04080189, HAL.
    14. Benhabib, Jess & Bisin, Alberto & Zhu, Shenghao, 2015. "The wealth distribution in Bewley economies with capital income risk," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 489-515.
    15. 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.

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    More about this item

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution

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