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

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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? How does social security change the cross-sectional relationship between fertility and income? Does social security further affect the dynamics of the earnings distribution by changing differential fertility? We answer these questions in a three-period OLG model with heterogeneous agents and endogenous fertility. We argue that given its redistributional property, social security affects people's fertility behavior differentially by income. In the model, earning ability is transmitted from parents to children. Hence, social security can have a significant impact on the dynamics of the earnings distribution through its effects on differential fertility. The mechanism used in the model to generate differential fertility is novel. We follow the line of the "old-age security" hypothesis and assume that children are an investment good in parents' old-age consumption. Thus,the optimal fertility choice depends on how much transfer is expected from children in relation to the cost of rearing these children to adult life. Since the intergenerational earnings process is mean-reverting, poor (rich) parents tend to have more (fewer) children because they have lower (higher) child-rearing cost and expect their children will have higher (lower) earnings than themselves and give back relatively more (less) in transfers. Social security reduces fertility by substituting children out of parents' old-age portfolio. It reduces fertility of the poor proportionally more than it reduces fertility of the rich because social security payments are a larger portion of old-age savings for poor people. These results are consistent with features of the U.S. fertility data. We calibrate the model to the U.S. data and find that social security can explain 32% of the decline in poor-rich fertility differential between the cohort of women born during 1891-1895 and the cohort of women born during 1946-1950.

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  • Kai Zhao, 2009. "Social Security, Differential Fertility, and the Dynamics of the Earnings Distribution," UWO Department of Economics Working Papers 20091, University of Western Ontario, Department of Economics.
    • Handle: RePEc:uwo:uwowop:20091
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    Cited by:

    1. ELOUNDOU-ENYEGUE Parfait & TENIKUE Michel & KANDIWA Vongai M., 2013. "Population Contributions to Global Income Inequality: A Fuller Account," LISER Working Paper Series 2013-28, LISER.
    2. Kai Zhao, 2014. "War Finance and the Baby Boom," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(3), pages 459-473, July.
    3. Schoonbroodt, Alice & Tertilt, Michèle, 2010. "Who Owns Children and Does it Matter?," CEPR Discussion Papers 7653, C.E.P.R. Discussion Papers.
    4. Daishin Yasui, 2014. "A Theory of the Cross-Sectional Fertility Differential: Jobs f Heterogeneity Approach," Discussion Papers 1409, Graduate School of Economics, Kobe University.
    5. 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.
    6. Kai(Jackie) Zhao, 2009. "War Debt and the Baby Boom," 2009 Meeting Papers 856, Society for Economic Dynamics.
    7. Aaron Cooke & Hyun Lee & Kai Zhao, 2017. "Houses Divided: A Model of Intergenerational Transfers, Differential Fertility and Wealth Inequality," Working papers 2017-22, University of Connecticut, Department of Economics.

    More about this item

    Keywords

    Social Security; Differential Fertility; Earnings Distribution; Growth;

    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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