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Pensions with endogenous and stochastic fertility

Author

Listed:
  • Helmut Cremer

    (Groupe de recherche en économie mathématique et quantitative - UT1 - Université Toulouse 1 Capitole - Université Fédérale Toulouse Midi-Pyrénées - INRA - Institut National de la Recherche Agronomique - CNRS - Centre National de la Recherche Scientifique, Université des Sciences Sociales (Toulouse 1))

  • Firouz Gahvari

    (University of Illinois System)

  • Pierre Pestieau

    (Université de Liège)

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.

Suggested Citation

  • Helmut Cremer & Firouz Gahvari & Pierre Pestieau, 2006. "Pensions with endogenous and stochastic fertility," Post-Print hal-02664704, HAL.
  • Handle: RePEc:hal:journl:hal-02664704
    DOI: 10.1016/j.jpubeco.2006.03.007
    Note: View the original document on HAL open archive server: https://hal.inrae.fr/hal-02664704
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    References listed on IDEAS

    as
    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," Discussion Paper 2000-27, Tilburg University, Center for Economic Research.
    2. Martin Kolmar, 1997. "Intergenerational redistribution in a small open economy with endogenous fertility," Journal of Population Economics, Springer;European Society for Population Economics, vol. 10(3), pages 335-356.
    3. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467-467.
    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, 2011. "Stochastic Fertility, Moral Hazard, and the Design of Pay-As-You-Go Pension Plans," CESifo Economic Studies, CESifo, vol. 57(2), pages 332-348, June.
    9. 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.
    10. Abã O, 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.
    11. van Groezen, Bas & Leers, Theo & Meijdam, Lex, 2003. "Social security and endogenous fertility: pensions and child allowances as siamese twins," Journal of Public Economics, Elsevier, vol. 87(2), pages 233-251, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    PAY-AS-YOU-GO SOCIAL SECURITY; ENDOGENOUS FERTILITY; STORAGE; MORAL HAZARD;
    All these keywords.

    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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