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Social Security, Differential Fertility, and the Dynamics of the Earnings Distribution

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  • Zhao Kai

    (University of Western Ontario)

Abstract

Economists and demographers have long argued that fertility differs by income (differential fertility), and that social security creates incentives for people to rear fewer children. Does the effect of social security on fertility differ by income? Does social security further affect the dynamics of the earnings distribution through its differential effects on fertility? We answer these questions in a three-period OLG model with heterogeneous agents and endogenous fertility. We find that given its redistributional property, social security reduces fertility of the poor proportionally more than it reduces fertility of the rich. Assuming that earning ability is transmitted from parents to children, the differential effects of social security on fertility can have a significant impact on the dynamics of the earnings distribution: a relatively lower fertility rate among the poor can lead to a new earnings distribution with a smaller portion of poor people and a higher average earnings level. With reasonable parameter values, our numerical exercise shows that the effects of social security on differential fertility and the dynamics of the earnings distribution are quantitatively important.

Suggested Citation

  • Zhao Kai, 2011. "Social Security, Differential Fertility, and the Dynamics of the Earnings Distribution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 11(1), pages 1-31, August.
  • Handle: RePEc:bpj:bejmac:v:11:y:2011:i:1:n:26
    DOI: 10.2202/1935-1690.2042
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    1. Becker, Gary S & Tomes, Nigel, 1976. "Child Endowments and the Quantity and Quality of Children," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 143-162, August.
    2. Michele BOLDRIN & Mariacristina DE NARDI & Larry E. JONES, 2015. "Fertility and Social Security," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 81(3), pages 261-299, September.
    3. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    4. Becker, Gary S, 1988. "Family Economics and Macro Behavior," American Economic Review, American Economic Association, vol. 78(1), pages 1-13, March.
    5. Elizabeth M. Caucutt & Nezih Guner & John Knowles, 2002. "Why Do Women Wait? Matching, Wage Inequality, and the Incentives for Fertility Delay," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(4), pages 815-855, October.
    6. Cigno, Alessandro & Rosati, Furio C., 1996. "Jointly determined saving and fertility behaviour: Theory, and estimates for Germany, Italy, UK and USA," European Economic Review, Elsevier, vol. 40(8), pages 1561-1589, November.
    7. de la Croix, David & Doepke, Matthias, 2004. "Public versus private education when differential fertility matters," Journal of Development Economics, Elsevier, vol. 73(2), pages 607-629, April.
    8. Huggett, Mark & Ventura, Gustavo, 2000. "Understanding why high income households save more than low income households," Journal of Monetary Economics, Elsevier, vol. 45(2), pages 361-397, April.
    9. Mark Huggett & Gustavo Ventura, 1999. "On the Distributional Effects of Social Security Reform," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(3), pages 498-531, July.
    10. Luisa Fuster & Ayşe İmrohoroğlu & Selahattin İmrohoroğlu, 2007. "Elimination of Social Security in a Dynastic Framework," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(1), pages 113-145.
    11. Kremer, Michael & Chen, Daniel L, 2002. "Income Distribution Dynamics with Endogenous Fertility," Journal of Economic Growth, Springer, vol. 7(3), pages 227-258, September.
    12. Gary Solon, 2002. "Cross-Country Differences in Intergenerational Earnings Mobility," Journal of Economic Perspectives, American Economic Association, vol. 16(3), pages 59-66, Summer.
    13. Nishimura, Kazuo & Zhang, Junsen, 1992. "Pay-as-you-go public pensions with endogenous fertility," Journal of Public Economics, Elsevier, vol. 48(2), pages 239-258, July.
    14. Echevarria, Cristina & Merlo, Antonio, 1999. "Gender Differences in Education in a Dynamic Household Bargaining Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 265-286, May.
    15. Galor, Oded, 2005. "From Stagnation to Growth: Unified Growth Theory," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 4, pages 171-293, Elsevier.
    16. O'Connell, Stephen A. & Zeldes, Stephen P., 1993. "Dynamic efficiency in the gifts economy," Journal of Monetary Economics, Elsevier, vol. 31(3), pages 363-379, June.
    17. Michele Boldrin & Larry E. Jones, 2002. "Mortality, Fertility, and Saving in a Malthusian Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(4), pages 775-814, October.
    18. Jie Zhang, 2001. "Long-Run Implications of Social Security Taxation for Growth and Fertility," Southern Economic Journal, John Wiley & Sons, vol. 67(3), pages 713-724, January.
    19. Larry E. Jones & Michele Tertilt, 2006. "An Economic History of Fertility in the U.S.: 1826-1960," NBER Working Papers 12796, National Bureau of Economic Research, Inc.
    20. Jeremy Greenwood & Nezih Guner & John A. Knowles, 2003. "More on Marriage, Fertility, and the Distribution of Income," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 827-862, August.
    21. Gary S. Becker & H. Gregg Lewis, 1974. "Interaction between Quantity and Quality of Children," NBER Chapters, in: Economics of the Family: Marriage, Children, and Human Capital, pages 81-90, National Bureau of Economic Research, Inc.
    22. Audra J. Bowlus & Jean-Marc Robin, 2004. "Twenty Years of Rising Inequality in U.S. Lifetime Labour Income Values," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 709-742.
    23. Bental, Benjamin, 1989. "The Old Age Security Hypothesis and Optimal Population Growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 1(4), pages 285-301.
    24. Juster, F Thomas & Stafford, Frank P, 1991. "The Allocation of Time: Empirical Findings, Behavioral Models, and Problems of Measurement," Journal of Economic Literature, American Economic Association, vol. 29(2), pages 471-522, June.
    25. Feldstein, Martin S, 1974. "Social Security, Induced Retirement, and Aggregate Capital Accumulation," Journal of Political Economy, University of Chicago Press, vol. 82(5), pages 905-926, Sept./Oct.
    26. Isaac Ehrlich & Jinyoung Kim, 2007. "Social Security and Demographic Trends: Theory and Evidence from the International Experience," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(1), pages 55-77, January.
    27. 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.
    28. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March.
    29. Solon, Gary, 1992. "Intergenerational Income Mobility in the United States," American Economic Review, American Economic Association, vol. 82(3), pages 393-408, June.
    30. Lagerlof, Nils-Petter, 1997. "Endogenous fertility and the old-age security hypothesis: A note," Journal of Public Economics, Elsevier, vol. 64(2), pages 279-286, May.
    31. Isaac Ehrlich & Jinyoung Kim, 2005. "Social Security, Demographic Trends, and Economic Growth: Theory and Evidence from the International Experience," NBER Working Papers 11121, National Bureau of Economic Research, Inc.
    32. David de la Croix & Matthias Doepke, 2003. "Inequality and Growth: Why Differential Fertility Matters," American Economic Review, American Economic Association, vol. 93(4), pages 1091-1113, September.
    33. Stanley Friedlander & Morris Silver, 1967. "A quantitative study of the determinants of fertility behavior," Demography, Springer;Population Association of America (PAA), vol. 4(1), pages 30-70, March.
    34. 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.
    35. Bar, Michael & Leukhina, Oksana, 2005. "Accounting for Changes in Labor Force Participation of Married Women: The Case of the U.S. since 1959," MPRA Paper 17264, University Library of Munich, Germany, revised Jun 2009.
    36. Rosati, Furio Camillo, 1996. "Social security in a non-altruistic model with uncertainty and endogenous fertility," Journal of Public Economics, Elsevier, vol. 60(2), pages 283-294, May.
    37. Kai(Jackie) Zhao, 2009. "War Debt and the Baby Boom," 2009 Meeting Papers 856, Society for Economic Dynamics.
    38. Karine S. Moe, 1998. "Fertility, Time Use, and Economic Development," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 699-718, July.
    39. Lee Lillard & Robert Willis, 1997. "Motives for interqenerational transfers: Evidence from Malaysia," Demography, Springer;Population Association of America (PAA), vol. 34(1), pages 115-134, February.
    40. Zhang, Junsen & Zhang, Jie & Lee, Ronald, 2001. "Mortality decline and long-run economic growth," Journal of Public Economics, Elsevier, vol. 80(3), pages 485-507, June.
    41. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    42. Jensen, Eric R, 1990. "An Econometric Analysis of the Old-Age Security Motive for Childbearing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(4), pages 953-968, November.
    43. Zimmerman, David J, 1992. "Regression toward Mediocrity in Economic Stature," American Economic Review, American Economic Association, vol. 82(3), pages 409-429, June.
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    3. Tertilt, Michèle & Schoonbroodt, Alice, 2010. "Who Owns Children and Does it Matter?," CEPR Discussion Papers 7653, C.E.P.R. Discussion Papers.
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    5. Daishin Yasui, 2014. "A Theory of the Cross-Sectional Fertility Differential: Jobs f Heterogeneity Approach," Discussion Papers 1409, Graduate School of Economics, Kobe University.
    6. Larry E. Jones & Alice Schoonbroodt & Michèle Tertilt, 2010. "Fertility Theories: Can They Explain the Negative Fertility-Income Relationship?," NBER Chapters, in: Demography and the Economy, pages 43-100, National Bureau of Economic Research, Inc.
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    More about this item

    JEL classification:

    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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