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Pensions with endogenous and stochastic fertility

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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 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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Suggested Citation

  • CREMER, Helmuth & GAHVARI, Firouz & PESTIEAU, Pierre, 2006. "Pensions with endogenous and stochastic fertility," CORE Discussion Papers RP 1928, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:1928 Note: In : Journal of Public Economics, 90, 2303-2321, 2006
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    File URL: http://dx.doi.org/10.1016/j.jpubeco.2006.03.007
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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," Discussion Paper 2000-27, Tilburg University, Center for Economic Research.
    2. 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.
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    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.
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    Cited by:

    1. repec:hal:journl:halshs-00653997 is not listed on IDEAS
    2. Cremer, Helmuth & Gahvari, Firouz & Pestieau, Pierre, 2011. "Fertility, human capital accumulation, and the pension system," Journal of Public Economics, Elsevier, vol. 95(11), pages 1272-1279.
    3. Meier, Volker & Wrede, Matthias, 2010. "Pensions, fertility, and education," Journal of Pension Economics and Finance, Cambridge University Press, vol. 9(01), pages 75-93, January.
    4. Pierre Pestieau & Gregory Ponthiere, 2013. "Childbearing Age, Family Allowances, and Social Security," Southern Economic Journal, Southern Economic Association, vol. 80(2), pages 385-413, October.
    5. Spataro, Luca & Renström, Thomas I., 2012. "Optimal taxation, critical-level utilitarianism and economic growth," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 727-738.
    6. 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.
    7. Concepció Patxot & Elisenda Rentería & Miguel Romero & Guadalupe Souto, 2012. "Measuring the balance of government intervention on forward and backward family transfers using NTA estimates: the modified Lee arrows," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 19(3), pages 442-461, June.
    8. Gugushvili, Alexi, 2007. "Giving the ageing of the population how can countries afford pay-as-you-go social insurance pensions?," MPRA Paper 2869, University Library of Munich, Germany.
    9. Vincenzo Galasso & Roberta Gatti & Paola Profeta, 2009. "Investing for the old age: pensions, children and savings," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 16(4), pages 538-559, August.
    10. Firouz Gahvari, 2009. "Pensions and fertility: in search of a link," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 16(4), pages 418-442, August.
    11. Giam Pietro Cipriani & Miltiadis Makris, 2012. "Payg Pensions And Human Capital Accumulation: Some Unpleasant Arithmetic," Manchester School, University of Manchester, vol. 80(4), pages 429-446, July.
    12. Robert Fenge & Jakob Weizsäcker, 2010. "Mixing Bismarck and child pension systems: an optimum taxation approach," Journal of Population Economics, Springer;European Society for Population Economics, vol. 23(2), pages 805-823, March.
    13. Giam Cipriani, 2014. "Population aging and PAYG pensions in the OLG model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(1), pages 251-256, January.
    14. Oliwia Komada, 2015. "Children as a public good in PAYG pension system," Ekonomia journal, Faculty of Economic Sciences, University of Warsaw, vol. 43.
    15. Simonovits, András, 2014. "Gyermektámogatás, nyugdíj és endogén/heterogén termékenység - egy modell
      [Child support, pensions and endogenous (and heterogeneous) fertility. A model]
      ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(6), pages 672-692.
    16. Andras Simonovits, 2013. "Savings, Child Support, Pensions and Endogenous (and Heterogeneous) Fertility," IEHAS Discussion Papers 1335, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
    17. Thomas Renstrom & Luca Spataro, 2015. "An analysis on optimal taxation and on policy changes in an endogenous growth model with public expenditure," Public Finance Research Papers 12, Istituto di Economia e Finanza, DIGEF, Sapienza University of Rome.
    18. Martin Werding, 2014. "Children are costly, but raising them may pay," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 30(8), pages 253-276, January.
    19. C. Fan & Jie Zhang, 2013. "Differential fertility and intergenerational mobility under private versus public education," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 907-941, July.
    20. David E. Bloom & David Canning & Günther Fink & Jocelyn E. Finlay, 2008. "Demographic Change, Institutional Settings, and Labor Supply," PGDA Working Papers 4208, Program on the Global Demography of Aging.
    21. Gaggermeier, Christian, 2006. "Pension and children : Pareto improvement with heterogeneous preferences," IAB Discussion Paper 200603, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].

    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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