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Planning for the Optimal Mix of Paygo Tax and Funded Savings

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Georges de Menil
Eytan Sheshinski

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Abstract

The paper uses an overlapping generations model to analyse the problem of a benevolent planner determining the pay-as-you-go tax rate and the level of funded savings, in an economy where both are policy variables. We characterize the conditions under which it is desirable to have both a positive tax rate and a positive level of savings. The optimal size of the tax rate and of savings depend both on the stochastic characteristics of earnings growth and the return to savings, and on the shape of the utility function of the representative agent. Among the comparative statics results presented, the central one is that increasing the variability of earnings raises the desirability of a pay-as-you-go system, under general conditions. This is consistent with earlier analyses of pay-as-you-go as a provider of intergenerational insurance. A numerical example using the CARA utility and normal distributions illustrates the calculation of optimal tax and savings levels, using annual data for post-War France.

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Paper provided by DELTA (Ecole normale supérieure) in its series DELTA Working Papers with number 2004-15.

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Date of creation: 2004
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Handle: RePEc:del:abcdef:2004-15

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Demange, G. & Laroque, G., 1997. "Social Security with heteregeneous populations subject to demographic shocks," DELTA Working Papers 97-08, DELTA (Ecole normale supérieure).
  2. Dutta, Jayasri & Kapur, Sandeep & Orszag, J. Michael, 2000. "A portfolio approach to the optimal funding of pensions," Economics Letters, Elsevier, vol. 69(2), pages 201-206, November. [Downloadable!] (restricted)
  3. Demange, G., 2000. "On Optimality of Intergenerational Risk Sharing," DELTA Working Papers 2000-05, DELTA (Ecole normale supérieure).
  4. Marchand, Maurice & Michel, Philippe & Pestieau, Pierre, 1996. "Intergenerational transfers in an endogenous growth model with fertility changes," European Journal of Political Economy, Elsevier, vol. 12(1), pages 33-48, April. [Downloadable!] (restricted)
  5. BELAN, Pascal & PESTIEAU, Pierre, 1997. "Privatizing social security: a critical assessment," CORE Discussion Papers 1997084, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Andrew B. Abel & N. Gregory Mankiw & Lawrence H. Summers & Richard J. Zeckhauser, 1989. "Assessing Dynamic Efficiency: Theory and Evidence," NBER Working Papers 2097, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  7. Robert C. Merton, 1983. "On the Role of Social Security as a Means for Efficient Risk Sharing in an Economy Where Human Capital Is Not Tradable," NBER Chapters, in: Financial Aspects of the United States Pension System, pages 325-358 National Bureau of Economic Research, Inc. [Downloadable!]
  8. Gordon, Roger H. & Varian, Hal R., 1988. "Intergenerational risk sharing," Journal of Public Economics, Elsevier, vol. 37(2), pages 185-202, November. [Downloadable!] (restricted)
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  9. Martin Feldstein & Jeffrey B. Liebman, 2001. "Social Security," NBER Working Papers 8451, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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    • 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. [Downloadable!] (restricted)
  10. repec:pal:gpprii:v:24:y:1999:i:1:p:114-130 is not listed on IDEAS
  11. Gabrielle Demange & Guy Laroque, 1999. "Social Security and Demographic Shocks," Econometrica, Econometric Society, vol. 67(3), pages 527-542, May.
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Bovenberg, A Lans & Uhlig, Harald, 2006. "Pension Systems and the Allocation of Macroeconomic Risk," CEPR Discussion Papers 5949, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  2. Marcello D’Amato & Vincenzo Galasso, 2008. "Political Intergenerational Risk Sharing," Working Papers 342, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University. [Downloadable!]
    Other versions:
  3. Piero Gottardi & Felix Kubler, 2006. "Social Security and Risk Sharing," Working Papers 2006_38, University of Venice "Ca' Foscari", Department of Economics. [Downloadable!]
    Other versions:
  4. Markus Knell, 2008. "The Optimal Mix Between Funded and Unfunded Pensions Systems When People Care About Relative Consumption," Working Papers 146, Oesterreichische Nationalbank (Austrian Central Bank). [Downloadable!]
  5. Øystein Thøgersen, 2006. "Intergenerational Risk Sharing by Means of Pay-as-you-go Programs – an Investigation of Alternative Mechanisms," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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