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The Optimal Level of Debt in an OLG Model with Endogenous Fertility

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  • Luca Spataro
  • Luciano Fanti

Abstract

In the present work we extend Diamond’s OLG model by allowing for endogenous fertility and look at the consequences of such an extension on the rules for optimal public debt issuing. In particular, we show that the condition according to which the rate of growth of population should be higher than the interest rate is no longer sufficient for obtaining welfare improvements via debt increases and that the level of optimal debt is, ceteris paribus, lower than the one arising with exogenous fertility. Finally, a sensitivity analysis shows that the optimal level of debt is higher the lower the capital share, the higher individuals’ degree of patience, the bigger the child-rearing cost and the lower the preference for children. On policy grounds we argue that debt-tightening policies may be optimal in the long run provided that the cost of rearing children does not increase (or, if anything, does decrease).
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  • Luca Spataro & Luciano Fanti, 2011. "The Optimal Level of Debt in an OLG Model with Endogenous Fertility," German Economic Review, Verein für Socialpolitik, vol. 12(3), pages 351-369, August.
  • Handle: RePEc:bla:germec:v:12:y:2011:i:3:p:351-369
    DOI: j.1468-0475.2011.00534.x
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    1. Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2007. "Efficiency with Endogenous Population Growth," Econometrica, Econometric Society, vol. 75(4), pages 1039-1071, July.
    2. Zhang, Junsen & Nishimura, Kazuo, 1993. "The old-age security hypothesis revisited," Journal of Development Economics, Elsevier, vol. 41(1), pages 191-202, June.
    3. Rosati, Furio Camillo, 1996. "Social security in a non-altruistic model with uncertainty and endogenous fertility," Journal of Public Economics, Elsevier, vol. 60(2), pages 283-294, May.
    4. Holger Strulik, 2003. "Mortality, the Trade‐off between Child Quality and Quantity, and Demo‐economic Development," Metroeconomica, Wiley Blackwell, vol. 54(4), pages 499-520, November.
    5. Nishimura, Kazuo & Zhang, Junsen, 1992. "Pay-as-you-go public pensions with endogenous fertility," Journal of Public Economics, Elsevier, vol. 48(2), pages 239-258, July.
    6. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151.
    7. Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 307-326, May.
    8. 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.
    9. Günther Lang, 2005. "Endogenous fertility and modified Pareto-optimality," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 4(3), pages 171-191, December.
    10. Strulik, Holger, 1999. "Demographic Transition, Stagnation, and Demoeconomic Cycles in a Model for the Less Developed Economy," Journal of Macroeconomics, Elsevier, vol. 21(2), pages 397-413, April.
    11. Luciano Fanti & Spataro Luca, 2009. "Fertility and public debt," Discussion Papers 2009/89, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
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    1. Luciano Fanti & Luca Gori, 2012. "Endogenous Lifetime in an Overlapping-Generations Small Open Economy," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 68(2), pages 121-152, June.
    2. Gori, Luca & Manfredi, Piero & Sodini, Mauro, 2021. "A Parsimonious Model Of Longevity, Fertility, Hiv Transmission And Development," Macroeconomic Dynamics, Cambridge University Press, vol. 25(5), pages 1155-1174, July.
    3. Luca Spataro & Luciano Fanti, 2013. "From Malthusian to Modern fertility: When intergenerational transfers matter," Discussion Papers 2013/163, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    4. Luciano Fanti & Luca Gori, 2009. "Endogenous fertility, endogenous lifetime and economic growth: the role of health and child policies," Discussion Papers 2009/91, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    5. Luciano Fanti & Luca Gori, 2014. "Endogenous fertility, endogenous lifetime and economic growth: the role of child policies," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(2), pages 529-564, April.
    6. Manuela Gussoni & Andrea Mangani, 2012. "The Impact of Public Funding for Innovation on Firms' R&D Investments: Do R&D Cooperation and Appropriability Matter?," L'industria, Società editrice il Mulino, issue 2, pages 237-254.
    7. Luciano Fanti & Luca Gori, 2013. "Fertility-related pensions and cyclical instability," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1209-1232, July.
    8. Fanti, Luciano & Spataro, Luca, 2013. "On the relationship between fertility and public national debt," Economic Modelling, Elsevier, vol. 33(C), pages 843-849.
    9. Luciano Fanti & Luca Gori, 2014. "An OLG model of growth with longevity: when grandparents take care of grandchildren," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 13(1), pages 39-51, April.
    10. Luciano Fanti & Luca Gori, 2008. "PAYG pensions and economic cycles: exogenous versus endogenous fertility," Discussion Papers 2008/75, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.

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