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Pensions with endogenous and stochastic fertility

  • CREMER, Helmuth
  • GAHVARI, Firouz
  • PESTIEAU, Pierre

This paper studies the design of a pay-as-you-go social security system in a society where fertility is in part stochastic and in part determined through capital investment. If parents' investments in children are publicly observable, pension benefits must be linked positively to the 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 in children, and the resulting average fertility rate, are less than their corresponding first-best levels.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers RP with number 1928.

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Handle: RePEc:cor:louvrp:1928
Note: In : Journal of Public Economics, 90, 2303-2321, 2006
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  1. 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.
  2. Robert Fenge & Volker Meier, 2005. "Pensions and fertility incentives," Canadian Journal of Economics, Canadian Economics Association, vol. 38(1), pages 28-48, February.
  3. Alessandro Cigno & Annalisa Luporini & Anna Pettini, 2000. "Tranfers to families with children as a principal-agent problem," CHILD Working Papers wp02_00, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
  4. 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.
  5. Cremer, Helmuth & Gahvari, Firouz & Pestieau, Pierre, 2004. "Pensions with Heterogenous Individuals and Endogenous Fertility," IDEI Working Papers 313, Institut d'Économie Industrielle (IDEI), Toulouse.
  6. G. Abío & Geraldine Mahieu & Cio Patxot, 2003. "On the Optimality of PAYG Pension Systems in an Endogenous Fertility Setting," CESifo Working Paper Series 1050, CESifo Group Munich.
  7. Bental, Benjamin, 1989. "The Old Age Security Hypothesis and Optimal Population Growth," Journal of Population Economics, Springer, vol. 1(4), pages 285-301.
  8. 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.
  9. 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.
  10. Martin Kolmar, 1997. "Intergenerational redistribution in a small open economy with endogenous fertility," Journal of Population Economics, Springer, vol. 10(3), pages 335-356.
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