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Social Security and Risk Sharing

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  • Piero Gottardi
  • Felix Kubler

Abstract

In this paper we identify conditions under which the introduction of a pay-as-you-go social security system is ex ante Pareto-improving in a stochastic overlapping generations economy with capital accumulation and land. We argue that these conditions are consistent with many calibrations of the model used in the literature. In our model financial markets are complete and competitive equilibria are interim Pareto e¢ cient. Therefore, a welfare improvement can only be obtained if agents' welfare is evaluated exante, and arises from the possibility of inducing, through social security, an improved level of intergenerational risk sharing. We will also examine the optimal size of a given social security system as well as its optimal reform. The analysis will be carried out in a relatively simple set-up, where the various effects of social security, on the prices of long-lived assets and the stock of capital, and hence on output, wages and risky rates of returns, can be clearly identified.

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Bibliographic Info

Paper provided by European University Institute in its series Economics Working Papers with number ECO2009/12.

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Date of creation: 2009
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Handle: RePEc:eui:euiwps:eco2009/12

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Keywords: Intergenerational Risk Sharing; Social Security; Ex Ante Welfare Improvements; Social Security Reform; Price E¤ects;

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References

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  1. Rao Aiyagari, S. & Peled, Dan, 1991. "Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 54(1), pages 69-83, June.
  2. Laurence Ball & N. Gregory Mankiw, 2001. "Intergenerational Risk Sharing in the Spirit of Arrow, Debreu, and Rawls, with Applications to Social Security Design," Harvard Institute of Economic Research Working Papers 1921, Harvard - Institute of Economic Research.
  3. Conny Olovsson, 2005. "The Welfare Gains of Improving Risk Sharing in Social Security," 2005 Meeting Papers 584, Society for Economic Dynamics.
  4. Henning Bohn, 2004. "Intergenerational Risk Sharing and Fiscal Policy," 2004 Meeting Papers 22, Society for Economic Dynamics.
  5. Piero Gottardi & Subir Chattopadhyay, 1999. "- Stochastic Olg Models, Market Structure And Optimality," Working Papers. Serie AD 1999-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. Krueger, Dirk & Kubler, Felix, 2004. "Computing equilibrium in OLG models with stochastic production," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1411-1436, April.
  7. Martin Feldstein & Jeffrey B. Liebman, 2001. "Social Security," NBER Working Papers 8451, National Bureau of Economic Research, Inc.
    • Feldstein, Martin & Liebman, Jeffrey B., 2002. "Social security," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 4, chapter 32, pages 2245-2324 Elsevier.
  8. Georges de Menil & Eytan Sheshinski, 2004. "Planning for the Optimal Mix of Paygo Tax and Funded Savings," DELTA Working Papers 2004-15, DELTA (Ecole normale supérieure).
  9. Shiller, Robert J., 1999. "Social security and institutions for intergenerational, intragenerational, and international risk-sharing," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 50(1), pages 165-204, June.
  10. Wang Yong, 1993. "Stationary Equilibria in an Overlapping Generations Economy with Stochastic Production," Journal of Economic Theory, Elsevier, vol. 61(2), pages 423-435, December.
  11. Gordon, Roger H. & Varian, Hal R., 1988. "Intergenerational risk sharing," Journal of Public Economics, Elsevier, vol. 37(2), pages 185-202, November.
  12. Ayse Imrohoroglu & Selahattin Imrohoroglu & Douglas H. Joines, 1999. "Social Security in an Overlapping Generations Economy with Land," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(3), pages 638-665, July.
  13. Kent A. Smetters, 2003. "Trading with the Unborn: A New Perspective on Capital Income Taxation," NBER Working Papers 9412, National Bureau of Economic Research, Inc.
  14. Olovsson, Conny, 2010. "Quantifying the risk-sharing welfare gains of social security," Journal of Monetary Economics, Elsevier, vol. 57(3), pages 364-375, April.
  15. Constantinides, G.M. & Donalson, J.B. & Mehra, R., 1997. "Junior Can't Borrow: A New Perspective on the Equity Premium Puzzle," Papers 97-24, Columbia - Graduate School of Business.
  16. Demange, Gabrielle & Laroque, Guy, 2000. " Social Security, Optimality, and Equilibria in a Stochastic Overlapping Generations Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(1), pages 1-23.
  17. Peter Diamond & John Geanakoplos, 2001. "Social Security Investment in Equities," Cowles Foundation Discussion Papers 1314R, Cowles Foundation for Research in Economics, Yale University, revised Aug 2002.
  18. Enders, Walter & Lapan, Harvey E, 1982. "Social Security Taxation and Intergenerational Risk Sharing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(3), pages 647-58, October.
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Citations

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Cited by:
  1. Alexander Ludwig & Michael Reiter, 2008. "Sharing Demographic Risk – Who is Afraid of the Baby Bust?," CESifo Working Paper Series 2422, CESifo Group Munich.
  2. Beetsma, Roel M.W.J. & Romp, Ward E. & Vos, Siert J., 2012. "Voluntary participation and intergenerational risk sharing in a funded pension system," European Economic Review, Elsevier, vol. 56(6), pages 1310-1324.
  3. Marcello D'Amato & Vincenzo Galasso, 2009. "Political Intergenerational Risk Sharing," CSEF Working Papers 216, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  4. Roel Beetsma & Ward E. Romp & Siert J. Vos, 2008. "Intergenerational Risk Sharing, Pensions and Endogenous Labor Supply in General Equilibrium," CESifo Working Paper Series 2185, CESifo Group Munich.
  5. Ohtaki, Eisei, 2013. "Golden rule optimality in stochastic OLG economies," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 60-66.
  6. Devis Geron, 2009. "Social Security Incidence under Uncertainty Assessing Italian Reforms," CESifo Working Paper Series 2812, CESifo Group Munich.
  7. Christian Gollier, 2007. "Intergenerational Risk-Sharing and Risk-Taking of a Pension Fund," CESifo Working Paper Series 1969, CESifo Group Munich.
  8. R. Beetsma & A. L. Bovenberg, 2006. "Pension systems, intergenerational risk sharing and inflation," European Economy - Economic Papers 257, Directorate General Economic and Monetary Affairs (DG ECFIN), European Commission.
  9. Luciano Greco, 2008. "A Note on Social Security and Public Debt," "Marco Fanno" Working Papers 0083, Dipartimento di Scienze Economiche "Marco Fanno".
  10. Roel Beetsma & Alessandro Bucciol, 2011. "Risk Sharing in Defined-Contribution Funded Pension Systems," CESifo Working Paper Series 3640, CESifo Group Munich.
  11. Mehlkopf, R.J., 2011. "Risk sharing with the unborn," Open Access publications from Tilburg University urn:nbn:nl:ui:12-4960700, Tilburg University.
  12. Corbae, Dean & Marimon, Ramon, 2011. "Introduction to Incompleteness and Uncertainty in Economics," Journal of Economic Theory, Elsevier, vol. 146(3), pages 775-784, May.

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