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Pensions with Endogenous and Stochastic Fertility

Author

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  • Cremer, Helmuth
  • Gahvari, Firouz
  • Pestieau, Pierre

Abstract

This paper studies the design of a pay-as-you-go social security system in an overlapping generations model where fertility is in part stochastic and in part determined through capital investment. If investments are publicly observable, pension benefits must be linked positively to the level of investment, and payroll taxes negatively to the number of children. The outcome is characterized by full insurance with all parents, regardless of their number of children, enjoying identical consumption levels. Without observability, benefits must increase, and payroll taxes decrease, with the number of children. The second-best level of investment, and the resulting average fertility rate, are less than their corresponding first-best levels.
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Suggested Citation

  • Cremer, Helmuth & Gahvari, Firouz & Pestieau, Pierre, 2004. "Pensions with Endogenous and Stochastic Fertility," IDEI Working Papers 305, Institut d'Économie Industrielle (IDEI), Toulouse.
    • Handle: RePEc:ide:wpaper:2990
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    References listed on IDEAS

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    1. van Groezen, B.J.A.M. & Leers, T. & Meijdam, A.C., 2000. "Family Size, Looming Demographic Changes and the Efficiency of Social Security Reform," Other publications TiSEM e2eaadb6-eabf-4bca-80d7-b, Tilburg University, School of Economics and Management.
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    4. Sinn, Hans-Werner, 2004. "The pay-as-you-go pension system as fertility insurance and an enforcement device," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1335-1357, July.
    5. Robert Fenge & Volker Meier, 2005. "Pensions and fertility incentives," Canadian Journal of Economics, Canadian Economics Association, vol. 38(1), pages 28-48, February.
    6. 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.
    7. Cigno, Alessandro & Luporini, Annalisa & Pettini, Anna, 2003. "Transfers to families with children as a principal-agent problem," Journal of Public Economics, Elsevier, vol. 87(5-6), pages 1165-1177, May.
    8. Helmuth Cremer & Firouz Gahvari & Pierre Pestieau, 2008. "Pensions with heterogenous individuals and endogenous fertility," Journal of Population Economics, Springer;European Society for Population Economics, vol. 21(4), pages 961-981, October.
    9. Abío, G. & Mahieu, G. & Patxot, C., 2004. "On the optimality of PAYG pension systems in an endogenous fertility setting," Journal of Pension Economics and Finance, Cambridge University Press, vol. 3(1), pages 35-62, March.
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    More about this item

    JEL classification:

    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth

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