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Endogenous fertility, endogenous lifetime and economic growth: the role of child policies

  • Fanti, Luciano
  • Gori, Luca

We examine the effects of child policies on both transitional dynamics and long-term demo-economic outcomes in an overlapping-generations neoclassical growth model à la Chakraborty (2004) extended with endogenous fertility under the assumption of weak altruism towards children. The government invests in public health, and an individual’s survival probability at the end of youth depends on health expenditure. We show that multiple development regimes can exist. However, poverty or prosperity do not necessarily depend on the initial conditions, since they are the result of how child policy is designed. A child tax for example can be used effectively to enable those economies that were entrapped in poverty to prosper. There is also a long-term welfare-maximising level of the child tax. We show that, a child tax can be used to increase capital accumulation, escape from poverty and maximise long-term welfare also when (i) a public pay-as-you-go pension system is in place, (ii) the government issues an amount of public debt. Interestingly, there also exists a couple child tax-health tax that can be used to find the second-best optimum optimorum. In addition, we show that results are robust to the inclusion of decisions regarding the child quantity-quality trade off under the assumption of impure altruism. In particular, there exists a threshold value of the child tax below (resp. above) which child quality spending is unaffordable (resp. affordable) and different scenarios are in existence.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 44898.

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Date of creation: 09 Mar 2013
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Handle: RePEc:pra:mprapa:44898
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  1. Fanti, Luciano & Gori, Luca, 2010. "PAYG pensions, tax-cum-subsidy and optimality," MPRA Paper 20219, University Library of Munich, Germany.
  2. Tamara Fioroni, 2010. "Child mortality and fertility: public vs private education," Journal of Population Economics, Springer;European Society for Population Economics, vol. 23(1), pages 73-97, January.
  3. Akira Yakita, 2001. "Uncertain lifetime, fertility and social security," Journal of Population Economics, Springer;European Society for Population Economics, vol. 14(4), pages 635-640.
  4. Cigno, Alessandro, 2009. "How to Avoid a Pension Crisis: A Question of Intelligent System Design," IZA Policy Papers 4, Institute for the Study of Labor (IZA).
  5. Rodrigo R. Soares, 2005. "Mortality Reductions, Educational Attainment, and Fertility Choice," American Economic Review, American Economic Association, vol. 95(3), pages 580-601, June.
  6. Chakraborty, Shankha & Papageorgiou, Chris & Pérez Sebastián, Fidel, 2010. "Diseases, infection dynamics, and development," Journal of Monetary Economics, Elsevier, vol. 57(7), pages 859-872, October.
  7. Alwyn Young, 2005. "The Gift of the Dying: The Tragedy of AIDS and the Welfare of Future African Generations," The Quarterly Journal of Economics, Oxford University Press, vol. 120(2), pages 423-466.
  8. David N. Weil & Oded Galor, 1999. "From Malthusian Stagnation to Modern Growth," American Economic Review, American Economic Association, vol. 89(2), pages 150-154, May.
  9. Pierre Pestieau & Gregory Ponthiere & Motohiro Sato, 2008. "Longevity, Health Spending, and Pay-as-you-Go Pensions," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 64(1), pages 1-18, March.
  10. Sebnem Kalemli-Ozcan, 2008. "The uncertain lifetime and the timing of human capital investment," Journal of Population Economics, Springer;European Society for Population Economics, vol. 21(3), pages 557-572, July.
  11. David de la CROIX & Pierre PESTIEAU & Gregory PONTHIERE, 2009. "How Powerful is Demography? The Serendipity Theorem Revisited," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2009040, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  12. Cervellati, Matteo & Sunde, Uwe, 2011. "Life expectancy and economic growth: The role of the demographic transition," Munich Reprints in Economics 20078, University of Munich, Department of Economics.
  13. Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2007. "Efficiency with Endogenous Population Growth," Econometrica, Econometric Society, vol. 75(4), pages 1039-1071, 07.
  14. Bunzel, Helle & Qiao, Xue, 2004. "Endogenous Lifetime and Economic Growth Revisited," Staff General Research Papers 12197, Iowa State University, Department of Economics.
  15. Peter Lorentzen & John McMillan & Romain Wacziarg, 2005. "Death and Development," NBER Working Papers 11620, National Bureau of Economic Research, Inc.
  16. Alessandro Cigno & Martin Werding, 2007. "Children and Pensions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033690.
  17. 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.
  18. Mark R. Rosenzweig & Junsen Zhang, 2009. "Do Population Control Policies Induce More Human Capital Investment? Twins, Birth Weight and China's "One-Child" Policy," Review of Economic Studies, Oxford University Press, vol. 76(3), pages 1149-1174.
  19. Galor, Oded & Weil, David, 1995. "The Gender Gap, Fertility and Growth," CEPR Discussion Papers 1157, C.E.P.R. Discussion Papers.
  20. Peters, Wolfgang, 1995. "Public Pensions, Family Allowances and Endogenous Demographic Change," Journal of Population Economics, Springer;European Society for Population Economics, vol. 8(2), pages 161-83, May.
  21. Makoto Hirazawa & Akira Yakita, 2009. "Fertility, child care outside the home, and pay-as-you-go social security," Journal of Population Economics, Springer;European Society for Population Economics, vol. 22(3), pages 565-583, July.
  22. Robert Fenge & Volker Meier, 2003. "Pensions and Fertility Incentives," CESifo Working Paper Series 879, CESifo Group Munich.
  23. Kalemli-Ozcan, Sebnem & Turan, Belgi, 2011. "HIV and fertility revisited," Journal of Development Economics, Elsevier, vol. 96(1), pages 61-65, September.
  24. repec:ebl:ecbull:v:15:y:2005:i:8:p:1-8 is not listed on IDEAS
  25. David, DE LA CROIX, 2008. "On the Golden Rule of capital accumulation under endogenous longevity," Discussion Papers (ECON - Département des Sciences Economiques) 2008032, Université catholique de Louvain, Département des Sciences Economiques.
  26. Cigno, Alessandro, 1992. "Children and Pensions," Journal of Population Economics, Springer;European Society for Population Economics, vol. 5(3), pages 175-83, August.
  27. K Blackburn & H Issa, 2002. "Endogenous Life Expectancy in a Simple Model of Growth," Centre for Growth and Business Cycle Research Discussion Paper Series 13, Economics, The Univeristy of Manchester.
  28. Fanti, Luciano & Gori, Luca, 2012. "PAYG pensions, tax-cum-subsidy and A-Pareto efficiency," Research in Economics, Elsevier, vol. 66(1), pages 65-71.
  29. Momota, Michiko, 2000. "The gender gap, fertility, subsidies and growth," Economics Letters, Elsevier, vol. 69(3), pages 401-405, December.
  30. Oded_Galor, 2004. "From Stagnation to Growth:Unified Growth Theory," Working Papers 2004-15, Brown University, Department of Economics.
  31. Ehrlich, Isaac, 2000. "Uncertain lifetime, life protection, and the value of life saving," Journal of Health Economics, Elsevier, vol. 19(3), pages 341-367, May.
  32. Daron Acemoglu & Simon Johnson, 2006. "Disease and Development: The Effect of Life Expectancy on Economic Growth," NBER Working Papers 12269, National Bureau of Economic Research, Inc.
  33. de la Croix, David & Licandro, Omar, 1997. "Life expectancy and endogenous growth," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1997029, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  34. 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.
  35. Cervellati, Matteo & Sunde, Uwe, 2005. "Human capital formation, life expectancy, and the process of development," Munich Reprints in Economics 20083, University of Munich, Department of Economics.
  36. Cigno, Alessandro, 1993. "Intergenerational transfers without altruism : Family, market and state," European Journal of Political Economy, Elsevier, vol. 9(4), pages 505-518, November.
  37. 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, 08.
  38. 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.
  39. Nishimura, K. & Zhang, J., 1990. "Pay-As-You-Go Public Pensions With Endogenous Fertility," Papers 202, Australian National University - Department of Economics.
  40. Makoto Hirazawa & Koji Kitaura & Akira Yakita, 2010. "Aging, fertility, social security and political equilibrium," Journal of Population Economics, Springer;European Society for Population Economics, vol. 23(2), pages 559-569, March.
  41. Fanti, Luciano & Gori, Luca, 2010. "Fertility-related pensions and cyclical instability," MPRA Paper 20221, University Library of Munich, Germany.
  42. Cigno, Alessandro & Rosati, Furio Camillo, 1992. "The Effects of Financial Markets and Social Security on Saving and Fertility Behaviour in Italy," Journal of Population Economics, Springer;European Society for Population Economics, vol. 5(4), pages 319-41.
  43. Mausumi Das & Shankha Chakraborty, 2010. "Mortality, Human Capital and Persistent Inequality," Working Papers id:2365, eSocialSciences.
  44. 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.
  45. Ehrlich, Isaac & Lui, Francis T, 1991. "Intergenerational Trade, Longevity, and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 1029-59, October.
  46. John Strauss & Duncan Thomas, 1998. "Health, Nutrition, and Economic Development," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 766-817, June.
  47. Barro, R.J. & Becker, G.S., 1988. "Fertility Choice In A Model Of Economic Growth," University of Chicago - Economics Research Center 88-8, Chicago - Economics Research Center.
  48. 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.
  49. Zhang, Junsen & Zhang, Jie & Lee, Ronald, 2001. "Mortality decline and long-run economic growth," Journal of Public Economics, Elsevier, vol. 80(3), pages 485-507, June.
  50. Costas Azariadis & Allan Drazen, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, Oxford University Press, vol. 105(2), pages 501-526.
  51. Bhattacharya, Joydeep & Qiao, Xue, 2005. "Public and Private Expenditures on Health in a Growth Model," Staff General Research Papers 12378, Iowa State University, Department of Economics.
  52. Becker, Gary S & Murphy, Kevin M & Tamura, Robert, 1990. "Human Capital, Fertility, and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages S12-37, October.
  53. Michael C.M. Leung & Yong Wang, 2010. "Endogenous Health Care, Life Expectancy And Economic Growth," Pacific Economic Review, Wiley Blackwell, vol. 15(1), pages 11-31, 02.
  54. Shankha Chakraborty, 2002. "Endogenous Lifetime and Economic Growth," University of Oregon Economics Department Working Papers 2002-03, University of Oregon Economics Department, revised 26 Jan 2002.
  55. Hung-Ju Chen, 2010. "Life expectancy, fertility, and educational investment," Journal of Population Economics, Springer;European Society for Population Economics, vol. 23(1), pages 37-56, January.
  56. Fanti, Luciano & Gori, Luca, 2010. "Fertility and PAYG pensions in the overlapping generations model," MPRA Paper 25811, University Library of Munich, Germany.
  57. Kalemli-Ozcan, Sebnem & Ryder, Harl E. & Weil, David N., 2000. "Mortality decline, human capital investment, and economic growth," Journal of Development Economics, Elsevier, vol. 62(1), pages 1-23, June.
  58. Gary S. Becker & Robert J. Barro, 1986. "A Reformulation of the Economic Theory of Fertility," NBER Working Papers 1793, National Bureau of Economic Research, Inc.
  59. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
  60. Sebnem Kalemli-Ozcan, 2012. "AIDS, “reversal” of the demographic transition and economic development: evidence from Africa," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 871-897, July.
  61. Feldstein, Martin, 2005. "Structural Reform of Social Security," Scholarly Articles 2794830, Harvard University Department of Economics.
  62. Patricia Apps & Ray Rees, 2004. "Fertility, Taxation and Family Policy," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(4), pages 745-763, December.
  63. Xiaoyu Wu & Lixing Li, 2012. "Family size and maternal health: evidence from the One-Child policy in China," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(4), pages 1341-1364, October.
  64. Andreoni, James, 1989. "Giving with Impure Altruism: Applications to Charity and Ricardian Equivalence," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1447-58, December.
  65. Michele Boldrin & Larry E. Jones, 2002. "Mortality, Fertility, and Saving in a Malthusian Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(4), pages 775-814, October.
  66. Bas van Groezen & L. Meijdam, 2004. "Growing Old and Staying Young: Population Policy in an Ageing Closed Economy," Working Papers 04-28, Utrecht School of Economics.
  67. Fenge, Robert & Meier, Volker, 2009. "Are family allowances and fertility-related pensions perfect substitutes?," Munich Reprints in Economics 20340, University of Munich, Department of Economics.
  68. Martin Feldstein, 2005. "Structural Reform of Social Security," NBER Working Papers 11098, National Bureau of Economic Research, Inc.
  69. Cigno, Alessandro, 1995. "Public pensions with endogenous fertility: Comment on Nishimura and Zhang," Journal of Public Economics, Elsevier, vol. 57(1), pages 169-173, May.
  70. Berthold U. Wigger, 1999. "Pay-as-you-go financed public pensions in a model of endogenous growth and fertility," Journal of Population Economics, Springer;European Society for Population Economics, vol. 12(4), pages 625-640.
  71. Gary S. Becker, 1960. "An Economic Analysis of Fertility," NBER Chapters, in: Demographic and Economic Change in Developed Countries, pages 209-240 National Bureau of Economic Research, Inc.
  72. David N. Weil & Oded Galor, 2000. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond," American Economic Review, American Economic Association, vol. 90(4), pages 806-828, September.
  73. Kalemli-Ozcan, Sebnem, 2002. "Does the Mortality Decline Promote Economic Growth?," Journal of Economic Growth, Springer, vol. 7(4), pages 411-39, December.
  74. Dennis Tao Yang & Marjorie McElroy, 2000. "Carrots and Sticks: Fertility Effects of China's Population Policies," American Economic Review, American Economic Association, vol. 90(2), pages 389-392, May.
  75. Corneo, Giacomo & Marquardt, Marko, 2000. "Public pensions, unemployment insurance, and growth," Journal of Public Economics, Elsevier, vol. 75(2), pages 293-311, February.
  76. Blackburn, Keith & Cipriani, Giam Pietro, 2002. "A model of longevity, fertility and growth," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 187-204, February.
  77. K Blackburn & H Issa, 2002. "Endogenous Life Expectancy in a Simple Model of Growth," The School of Economics Discussion Paper Series 0217, Economics, The University of Manchester.
  78. Samuelson, Paul A, 1975. "The Optimum Growth Rate for Population," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 531-38, October.
  79. Klaus Jaeger & Wolfgang Kuhle, 2009. "The optimum growth rate for population reconsidered," Journal of Population Economics, Springer;European Society for Population Economics, vol. 22(1), pages 23-41, January.
  80. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
  81. Alessandro Cigno, 1998. "Fertility decisions when infant survival is endogenous," Journal of Population Economics, Springer;European Society for Population Economics, vol. 11(1), pages 21-28.
  82. Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-91, September.
  83. Adriaan Kalwij, 2010. "The impact of family policy expenditure on fertility in western Europe," Demography, Springer;Population Association of America (PAA), vol. 47(2), pages 503-519, May.
  84. Fanti, Luciano & Gori, Luca, 2009. "Population and neoclassical economic growth: A new child policy perspective," Economics Letters, Elsevier, vol. 104(1), pages 27-30, July.
  85. Junsen Zhang & Junxi Zhang, 1998. "Social Security, Intergenerational Transfers, and Endogenous Growth," Canadian Journal of Economics, Canadian Economics Association, vol. 31(5), pages 1225-1241, November.
  86. Eckstein, Zvi & Stern, Steven & Wolpin, Kenneth I, 1988. "Fertility Choice, Land, and the Malthusian Hypothesis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(2), pages 353-61, May.
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