The wealth distribution in Bewley economies with capital income risk. (English) Zbl 1330.91132
Summary: We study the wealth distribution in Bewley economies with idiosyncratic capital income risk. We show analytically that under rather general conditions on the stochastic structure of the economy, a unique ergodic distribution of wealth displays a fat tail.
MSC:
| 91B54 | Special types of economic markets (including Cournot, Bertrand) |
References:
| [2] | Aiyagari, S. R., Uninsured idiosyncratic risk and aggregate saving, Q. J. Econ., 109, 3, 659-684 (1994) |
| [3] | Aiyagari, S. R., Optimal capital income taxation with incomplete markets and borrowing constraints, J. Polit. Econ., 103, 6, 1158-1175 (1995) |
| [4] | Angeletos, G., Uninsured idiosyncratic investment risk and aggregate saving, Rev. Econ. Dyn., 10, 1-30 (2007) |
| [5] | Angeletos, G.; Calvet, L. E., Incomplete-market dynamics in a neoclassical production economy, J. Math. Econ., 41, 407-438 (2005) · Zbl 1106.91045 |
| [6] | Atkinson, T.; Saez, E.; Piketty, T., Top incomes in the long run of history, J. Econ. Lit., 49, 1, 3-71 (2011) |
| [7] | Attanasio, O. P.; Davis, S. J., Relative wage movements and the distribution of consumption, J. Polit. Econ., 104, 6, 1227-1262 (1996) |
| [10] | Benhabib, J.; Bisin, A.; Zhu, S., The distribution of wealth and fiscal policy in economies with finitely lived agents, Econometrica, 79, 1, 122-157 (2011) · Zbl 1208.91046 |
| [11] | Benhabib, J.; Bisin, A.; Zhu, S., The distribution of wealth in the Blanchard-Yaari model, Macroecon. Dyn (2013), Forthcoming, special issue on Complexity in Economic Systems |
| [13] | Bewley, T., The permanent income hypothesis: a theoretical formulation, J. Econ. Theory, 16, 2, 252-292 (1977) · Zbl 0395.90004 |
| [14] | Bewley, T., A difficulty with the optimum quantity of money, Econometrica, 51, 5, 1485-1504 (1983) · Zbl 0521.90038 |
| [15] | Cagetti, M.; De Nardi, M., Entrepreneurship, frictions, and wealth, J. Polit. Econ., 114, 5, 835-870 (2006) |
| [16] | Cagetti, M.; De Nardi, M., Wealth inequality: data and models, Macroecon. Dyn., 12, 52, 285-313 (2008) · Zbl 1144.91366 |
| [17] | Carroll, C. D., Buffer-stock saving and the life cycle/permanent income hypothesis, Q. J. Econ., 112, 1-56 (1997) · Zbl 0882.90023 |
| [20] | Castaneda, A.; Diaz-Gimenez, J.; Rios-Rull, J. V., Accounting for the US earnings and wealth inequality, J. Polit. Econ., 111, 4, 818-857 (2003) |
| [21] | Chamberlain, G.; Wilson, C. A., Optimal intertemporal consumption under uncertainty, Rev. Econ. Dyn., 3, 3, 365-395 (2000) |
| [23] | Clementi, F.; Gallegati, M., Power law tails in the Italian personal income distribution, Physica A, 350, 427-438 (2005) |
| [24] | Collamore, J. F., Random recurrence equations and ruin in a Markov-dependent stochastic economic environment, Ann. Appl. Probab., 19, 4, 1404-1458 (2009) · Zbl 1176.60018 |
| [25] | Dagsvik, J. K.; Vatne, B. H., Is the distribution of income compatible with a stable distribution? (1999), Research Department, Statistics Norway, Discussion Paper 246 |
| [26] | Fisher, J.; Johnson, D., Consumption mobility in the United States: Evidence from two panel data sets, B.E. J. Econ. Anal. Policy, 6, 1, 16 (2006) |
| [28] | Guvenen, F., Learning your earning: are labor income shocks really very persistent?, Am. Econ. Rev., 97, 3, 687-712 (2007) |
| [29] | Hansen, G. D.; Imrohoroglu, A., The role of unemployment insurance in an economy with liquidity constraints and moral hazard, J. Polit. Econ., 100, 1, 118-142 (1992) |
| [30] | Heathcote, J., Fiscal policy with heterogeneous agents and incomplete markets, Rev. Econ. Stud., 72, 1, 161-188 (2005) · Zbl 1112.91056 |
| [31] | Heathcote, J., Discussion of “Heterogeneous life-cycle profiles, income risk and consumption inequality” by Giorgio Primiceri and Thijs van Rens, J. Monet. Econ., 56, 40-42 (2009) |
| [32] | Heathcote, J.; Storesletten, K.; Violante, G. L., Insurance and opportunities: a welfare analysis of labor market risk, J. Monet. Econ., 55, 3, 501-525 (2008) |
| [34] | Huggett, M., The risk-free rate in heterogeneous-agent incomplete-insurance economies, J. Econ. Dyn. Control, 175, 6, 953-969 (1993) · Zbl 0784.90018 |
| [35] | Imrohoroglu, A., The welfare cost of inflation under imperfect insurance, J. Econ. Dyn. Control, 16, 1, 79-91 (1992) · Zbl 0825.90156 |
| [36] | Jappelli, T.; Pistaferri, L., Intertemporal choice and consumption mobility, J. Eur. Econ. Assoc., 4, 1, 75-115 (2006) |
| [38] | Kamihigashi, T.; Stachurski, J., Stochastic stability in monotone economies, Theor. Econ., 9, 2, 383-407 (2014) · Zbl 1395.91300 |
| [39] | Kesten, H., Random difference equations and renewal theory for products of random matrices, Acta Math., 131, 207-248 (1973) · Zbl 0291.60029 |
| [40] | Klass, O. S.; Biham, O.; Levy, M.; Malcai, O.; Solomon, S., The Forbes 400, the Pareto power-law and efficient markets, Eur. Phys. J. B, 55, 143-147 (2007) · Zbl 1189.91122 |
| [41] | Kopczuk, W.; Saez, E.; Top, Wealth shares in the United States, 1916-2000: Evidence from estate tax returns, Natl. Tax J., 57, 2, 445-487 (March 2014), Long NBER Working Paper No. 10399, March 2004 |
| [42] | Krueger, D.; Perri, F., On the welfare consequences of the increase in inequality in the United States, (Gertler, M.; Rogoff, K., NBER Macroeconomics Annual 2003 (2003), MIT Press: MIT Press Cambridge, MA), 83-121 |
| [43] | Krusell, P.; Smith, A. A., Income and wealth heterogeneity in the macroeconomy, J. Polit. Econ., 106, 5, 867-896 (1998) |
| [44] | Krusell, P.; Smith, A. A., Quantitative macroeconomic models with heterogeneous agents, (Blundell, R.; Newey, W.; Persson, T., Advances in Economics and Econometrics: Theory and Applications (2006), Cambridge University Press: Cambridge University Press Cambridge) · Zbl 1303.91119 |
| [45] | Levhari, D.; Srinivasan, T. N., Optimal savings under uncertainty, Rev. Econ. Stud., 36, 153-163 (1969) |
| [46] | Ljungqvist, L.; Sargent, T. J., Recursive Macroeconomic Theory (2004), MIT Press: MIT Press Cambridge, MA |
| [47] | Mankiw, N. G., The equity premium and the concentration of aggregate shocks, J. Financ. Econ., 17, 1, 211-219 (1986) |
| [48] | Meyn, S. P.; Tweedie, R. L., Markov Chains and Stochastic Stability (2009), Cambridge University Press · Zbl 0925.60001 |
| [49] | Mirek, M., Heavy tail phenomenon and convergence to stable laws for iterated Lipschitz maps, Probab. Theory Relat. Fields, 151, 705-734 (2011) · Zbl 1236.60025 |
| [53] | Piketty, T.; Saez, E., Income inequality in the United States, 1913-1998, Q. J. Econ., 118, 1-39 (2003) |
| [54] | Piketty, T.; Zucman, G., Capital is back: wealth-income ratios in rich countries, 1700-2010, Q. J. Econ., 129, 1155-1210 (2014) |
| [55] | Primiceri, G.; van Rens, T., Heterogeneous life-cycle profiles, income risk and consumption inequality, J. Monet. Econ., 56, 20-39 (2009) |
| [56] | Quadrini, V., The importance of entrepreneurship for wealth concentration and mobility, Rev. Income Wealth, 45, 1-19 (1999) |
| [57] | Quadrini, V., Entrepreneurship, savings and social mobility, Rev. Econ. Dyn., 3, 1-40 (2000) |
| [58] | Rabault, G., When do borrowing constraints bind? Some new results on the income fluctuation problem, J. Econ. Dyn. Control, 26, 217-245 (2002) · Zbl 0990.91030 |
| [59] | Rios-Rull, J. V., Models with heterogeneous agents, (Cooley, T. F., Frontiers of Business Cycle Research (1995), Princeton University Press: Princeton University Press Princeton, NJ) |
| [60] | Roitershtein, A., One-dimensional linear recursions with Markov-dependent coefficients, Ann. Appl. Probab., 17, 572-608 (2007), mr=2308336 · Zbl 1125.60092 |
| [61] | Royden, H. L., Real Analysis (1988), Prentice-Hall, Inc.: Prentice-Hall, Inc. Upper Saddle River, New Jersey · Zbl 0704.26006 |
| [62] | Saez, E.; Zucman, G., The distribution of US wealth, capital income and returns since 1913 (2014), University of California: University of California Berkeley, Unpublished slides available at: |
| [63] | Saporta, B., Etude de la Solution Stationnaire de l’Equation \(Yn + 1 = anYn + bn\), a Coefficients Aleatoires (2004), Université de Rennes I, Available at |
| [64] | Saporta, B., Tail of the stationary solution of the stochastic equation \(Y_{n + 1} = a_n Y_n + \gamma_n\) with Markovian coefficients, Stoch. Process. Appl., 115, 12, 1954-1978 (2005) · Zbl 1096.60025 |
| [65] | Schechtman, J., An income fluctuation problem, J. Econ. Theory, 12, 2, 218-241 (1976) · Zbl 0352.90004 |
| [66] | Schechtman, J.; Escudero, V. L.S., Some results on an income fluctuation problem, J. Econ. Theory, 16, 2, 151-166 (1977) · Zbl 0402.90002 |
| [68] | Storesletten, K.; Telmer, C. L.; Yaron, A., The welfare cost of business cycles revisited: finite lives and cyclical variation in idiosyncratic risk, Eur. Econ. Rev., 45, 7, 1311-1339 (2001) |
| [69] | Storesletten, K.; Telmer, C. L.; Yaron, A., Consumption and risk sharing over the life cycle, J. Monet. Econ., 51, 3, 609-633 (2004) |
| [70] | Wold, H. O.A.; Whittle, P., A model explaining the Pareto distribution of wealth, Econometrica, 25, 591-595 (1957) · Zbl 0077.33806 |
| [71] | Wolff, E., Estimates of household wealth inequality in the U.S., 1962-1983, Rev. Income Wealth, 33, 231-256 (1987) |
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