Abstract
We develop a dynamic model where a competitive firm uses labor and capital, with market clearing rates of return. Individuals are heterogeneous in skills, with an endowment in capital/wealth increasing in skill. Individuals aspire to a socially determined consumption level, with a constant marginal propensity to consume out of income above this level. We also study three variants of the model: one with a higher rate of return for large capitals than for smaller ones, one with a capital levy financing a lump sum transfer, and one with social mobility. We calibrate the model to the US economy and obtain that a steady state exists in all variants, and we obtain convergence to the steady state from the 2012 US wealth distribution. The reduction in the level of the aspirational consumption level is the only way to create wealth for the bottom half of the distribution.
Similar content being viewed by others
References
Aiyagari, S.R.: Uninsured idiosyncratic risk and aggregate savings. Q. J. Econ. 109(3), 659–684 (1994)
Bach, L., Calvet, L., Sodini, P.: Rich pickings? Risk, return, and skill in the portfolios of the wealthy. Unpublished paper (2015)
Benhabib, J., Bisin, A.: Skewed wealth distributions: Theory and empirics. NBER Working Paper 21924 (2016)
Benhabib, J., Bisin, A., Zhu, S.: The distribution of wealth and fiscal policy in economies with Finitely-Lived agents. Econometrica 79, 123–157 (2011)
Benhabib, J., Bisin, A., Zhu, S.: Wealth distributions in Bewley models with capital income. J. Econ. Theory 159-A, 489–515 (2015)
Bewley, T.: A difficulty with the optimum quantity of money. Econometrica 51, 1485–1504 (1983)
Carroll, C., Slacalek, J., Tokuoka, K.: The distribution of wealth and the MPC: Implications of new European data. Am. Econ. Rev. 104(5), 107–11 (2014)
Chetty, R., Hendren, N., Kline, P., Saez, E.: Where is the land of opportunity? The geography of intergenerational mobility in the United States (2014). NBER Working Paper 19843
Constantinides, G., Duffie, D.: Asset pricing with heterogeneous consumers. J. Polit. Econ. 104, 219–40 (1996)
Cooper, G.: Voluntary tax? New perspectives on sophisticated tax avoidance, vol. 77, pp 161–247. Columbia Law Review (1979)
Fagereng, A., Guiso, L., Malacrino, D., Pistaferri, L.: Wealth return dynamics and heterogeneity (2015). Unpublished paper
Fagereng, A., Guiso, L., Malacrino, D., Pistaferri, L.: Heterogeneity in returns to wealth, and the measurement of wealth inequality. Am. Econ. Rev. Pap. Proc. 106(5), 651–655 (2016)
Hubbard, R.G., Skinner, J., Zeldes, S.P.: Precautionary saving and social insurance. J. Polit. Econ. 103, 360–99 (1995)
Hugget, M.: Wealth distribution in life-cycle economies. J. Monet. Econ. 38, 469–494 (1996)
Kopczuk, W., Lupton, J.: To leave or not to leave: The distribution of bequest motives. Rev. Econ. Stud. 74, 207–235 (2007)
Piketty, T.: Capital in the 21st Century. Harvard University Press (2014)
Piketty, T., Zucman, G.: Wealth and inheritance in the long run. Chapter 15 of Handbook of Income Distribution 2B. Elsevier (2015)
Quadrini, V., Ríos-Rull, J.-V.: Understanding the U.S. distribution of wealth, Federal Reserve Bank of Minneapolis Quarterly Review 21(2), 22–36 (1997)
Saez, E., Piketty, T.: Income inequality in the United States, 1913–1998. Q. J. Econ. 118(1), 1–39 (2003)
Saez, E., Zucman, G.: Wealth inequality in the United States since 1913: Evidence from capitalized income tax data. Q. J. Econ., forthcoming (2016). Online appendix at http://gabriel-zucman.eu/files/SaezZucman2016QJEAppendix.pdf
Weber, M.: The Protestant Ethic and the Spirit of Capitalism. Charles Scribners Sons, New York (1905)
Author information
Authors and Affiliations
Corresponding author
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Donder, P.D., Roemer, J.E. The dynamics of capital accumulation in the US: simulations after piketty. J Econ Inequal 15, 121–141 (2017). https://doi.org/10.1007/s10888-016-9346-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10888-016-9346-2