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Private versus public old-age security

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  • Barnett, Richard C.
  • Bhattacharya, Joydeep
  • Puhakka, Mikko

Abstract

We directly compare two institutions, a family compact—a parent makes a transfer to her parent in anticipation of a possible future gift from her children—with a pay-as-you-go, public pension system, in a life cycle model with endogenous fertility wherein children are valued both as consumption and investment goods. Absent intragenerational heterogeneity, we show that a benevolent government has no welfare justification for introducing public pensions alongside thriving family compacts since the former is associated with inefficiently low fertility. This result hinges critically on a fiscal externality—the inability of middle age agents to internalize the impact of their fertility decisions on old-age transfers under a public pension system. With homogeneous agents, a strong-enough negative aggregate shock to middle-age incomes destroys all family compacts, and in such a setting, an optimal public pension system cannot enter. This suggests the raison d’être for social security must lie outside of its function as a pension system—specifically its redistributive function which emerges with heterogeneous agents. In a simple modification of our benchmark model—one that allows for idiosyncratic frictions to compact formation such as differences in infertility/mating status—a welfare-enhancing role for a public pension system emerges; such systems may flourish even when family compacts cannot.

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  • Barnett, Richard C. & Bhattacharya, Joydeep & Puhakka, Mikko, 2017. "Private versus public old-age security," ISU General Staff Papers 201712010800001073, Iowa State University, Department of Economics.
  • Handle: RePEc:isu:genstf:201712010800001073
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    1. Mulligan Casey B & Sala-i-Martin Xavier, 2004. "Political and Economic Forces Sustaining Social Security," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 4(1), pages 1-56, May.
    2. Cigno, Alessandro, 2006. "The political economy of intergenerational cooperation," Handbook on the Economics of Giving, Reciprocity and Altruism, in: S. Kolm & Jean Mercier Ythier (ed.), Handbook of the Economics of Giving, Altruism and Reciprocity, edition 1, volume 1, chapter 25, pages 1505-1558, Elsevier.
    3. Vincenzo Galasso & Paola Profeta, 2018. "When the State Mirrors the Family: The Design of Pension Systems," Journal of the European Economic Association, European Economic Association, vol. 16(6), pages 1712-1763.
    4. Prinz, Aloys, 1990. "Endogenous Fertility, Altruistic Behavior across Generations, and Social Security Systems," Journal of Population Economics, Springer;European Society for Population Economics, vol. 3(3), pages 179-192, October.
    5. 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.
    6. Alessandro Cigno, 2010. "How to Avoid a Pension Crisis: A Question of Intelligent System Design ," CESifo Economic Studies, CESifo Group, vol. 56(1), pages 21-37, March.
    7. 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.
    8. 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.
    9. Michele BOLDRIN & Mariacristina DE NARDI & Larry E. JONES, 2015. "Fertility and Social Security," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 81(3), pages 261-299, September.
    10. Cigno, Alessandro, 1993. "Intergenerational transfers without altruism : Family, market and state," European Journal of Political Economy, Elsevier, vol. 9(4), pages 505-518, November.
    11. M.L. Leroux & P. Pestieau, 2014. "Social Security and Family Support," Canadian Journal of Economics, Canadian Economics Association, vol. 47(1), pages 115-143, February.
    12. Becker, Gary S, 1988. "Family Economics and Macro Behavior," American Economic Review, American Economic Association, vol. 78(1), pages 1-13, March.
    13. Alessandro Cigno, 2006. "A constitutional theory of the family," Journal of Population Economics, Springer;European Society for Population Economics, vol. 19(2), pages 259-283, June.
    14. 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.
    15. Peter Lindert, 2004. "Social Spending and Economic Growth," Challenge, Taylor & Francis Journals, vol. 47(4), pages 6-16.
    16. Luisa Fuster & Ayşe İmrohoroğlu & Selahattin İmrohoroğlu, 2007. "Elimination of Social Security in a Dynastic Framework," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(1), pages 113-145.
    17. Alessandro Cigno & Mizuki Komura & Annalisa Luporini, 2017. "Self-enforcing family rules, marriage and the (non)neutrality of public intervention," Journal of Population Economics, Springer;European Society for Population Economics, vol. 30(3), pages 805-834, July.
    18. Tanzi,Vito & Schuknecht,Ludger, 2000. "Public Spending in the 20th Century," Cambridge Books, Cambridge University Press, number 9780521662918, October.
    19. Robert Fenge & Beatrice Scheubel, 2017. "Pensions and fertility: back to the roots," Journal of Population Economics, Springer;European Society for Population Economics, vol. 30(1), pages 93-139, January.
    20. 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.
    21. Hill, Matthew J., 2015. "Love in the Time of the Depression: The Effect of Economic Conditions on Marriage in the Great Depression," The Journal of Economic History, Cambridge University Press, vol. 75(1), pages 163-189, March.
    22. David de la Croix & Matthias Doepke, 2003. "Inequality and Growth: Why Differential Fertility Matters," American Economic Review, American Economic Association, vol. 93(4), pages 1091-1113, September.
    23. 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.
    24. Ludwig von Auer & Bettina Büttner, 2004. "Endogenous Fertility, Externalities, and Efficiency in Old-Age Pension Systems," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 160(2), pages 294-310, June.
    25. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 1-25.
    26. Galor, Oded & Weil, David N, 1996. "The Gender Gap, Fertility, and Growth," American Economic Review, American Economic Association, vol. 86(3), pages 374-387, June.
    27. 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.
    28. Makoto Hirazawa & Koji Kitaura & Akira Yakita, 2014. "Fertility, Intra‐Generational Redistribution, and Social Security Sustainability," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 47(1), pages 98-114, February.
    29. Alessandro Cigno & Martin Werding, 2007. "Children and Pensions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033690, April.
    30. 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.
    31. Salant, David J., 1991. "A repeated game with finitely lived overlapping generations of players," Games and Economic Behavior, Elsevier, vol. 3(2), pages 244-259, May.
    32. Zhang, Jie & Zhang, Junsen, 2007. "Optimal social security in a dynastic model with investment externalities and endogenous fertility," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3545-3567, November.
    33. 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.
    34. Luisa Fuster & Ayse Imrohoroglu & Selahattin Imrohoroglu, 2003. "A welfare analysis of social security in a dynastic framework," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(4), pages 1247-1274, November.
    35. Michihiro Kandori, 1992. "Repeated Games Played by Overlapping Generations of Players," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 81-92.
    36. Francesco C. Billari & Vincenzo Galasso, 2014. "Fertility decisions and pension reforms. Evidence from natural experiments in Italy," IdEP Economic Papers 1403, USI Università della Svizzera italiana.
    37. Robert Fenge & Volker Meier, 2005. "Pensions and fertility incentives," Canadian Journal of Economics, Canadian Economics Association, vol. 38(1), pages 28-48, February.
    38. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March.
    39. Sundstrom, William A. & David, Paul A., 1988. "Old-age security motives, labor markets, and farm family fertility in antebellum American," Explorations in Economic History, Elsevier, vol. 25(2), pages 164-197, April.
    40. repec:bla:econom:v:42:y:1975:i:168:p:430-37 is not listed on IDEAS
    41. Nishimura, Kazuo & Zhang, Junsen, 1995. "Sustainable Plans of Social Security with Endogenous Fertility," Oxford Economic Papers, Oxford University Press, vol. 47(1), pages 182-194, January.
    42. Isaac Ehrlich & Jinyoung Kim, 2005. "Social Security, Demographic Trends, and Economic Growth: Theory and Evidence from the International Experience," NBER Working Papers 11121, National Bureau of Economic Research, Inc.
    43. Yew, Siew Ling & Zhang, Jie, 2009. "Optimal social security in a dynastic model with human capital externalities, fertility and endogenous growth," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 605-619, April.
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    4. Torben M. Andersen & Joydeep Bhattacharya & Qing Liu, 2020. "Reference-Dependent Preferences, Time Inconsistency, and Unfunded Pensions," CESifo Working Paper Series 8260, CESifo.
    5. Alessandro Cigno & Alessandro Gioffré & Annalisa Luporini, 2021. "Evolution of individual preferences and persistence of family rules," Review of Economics of the Household, Springer, vol. 19(4), pages 935-958, December.

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    More about this item

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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