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Optimal Mix Among PAYGO, EET and Individual Savings

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Listed:
  • Lin He
  • Zongxia Liang
  • Zhaojie Ren
  • Yilun Song

Abstract

In order to deal with the aging problem, pension system is actively transformed into the funded scheme. However, the funded scheme does not completely replace PAYGO (Pay as You Go) scheme and there exist heterogeneous mixes among PAYGO, EET (Exempt, Exempt, Taxed) and individual savings in different countries. In this paper, we establish the optimal mix by solving a Nash equilibrium between the pension participants and the government. Given the obligatory PAYGO and EET contribution rates, the participants choose the optimal asset allocation of the individual savings and the consumption policies to achieve the objective. The results extend the ``Samuelson-Aaron" criterion to age-dependent preference orderings. And we identify three critical ages to distinguish the multiple outcomes of preference orderings based on heterogeneous characteristic parameters. The government is fully aware of the optimal feedback of the participants. It chooses the optimal PAYGO and EET contribution rates to maximize the overall utility of the participants weighted by each cohort's population. As such, the negative population growth rate leads to the decline of the PAYGO attractiveness as well as the increase of the older cohorts' weight in the government decision-making. The optimal mix is the comprehensive result of the two effects.

Suggested Citation

  • Lin He & Zongxia Liang & Zhaojie Ren & Yilun Song, 2023. "Optimal Mix Among PAYGO, EET and Individual Savings," Papers 2302.09218, arXiv.org.
    • Handle: RePEc:arx:papers:2302.09218
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    References listed on IDEAS

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    1. Hassler, John & Lindbeck, Assar, 1997. "Optimal actuarial fairness in pension systems: A note," Economics Letters, Elsevier, vol. 55(2), pages 251-255, August.
    2. Bernard M.S. van Praag & Pedro Cardoso, 2003. "The Mix Between Pay-as-you-go and Funded Pensions and What Demography Has to Do with it," CESifo Working Paper Series 865, CESifo.
    3. Devolder, Pierre & Melis, Roberta, 2015. "Optimal Mix Between Pay As You Go And Funding For Pension Liabilities In A Stochastic Framework," ASTIN Bulletin, Cambridge University Press, vol. 45(3), pages 551-575, September.
    4. Luca Benzoni & Pierre Collin‐Dufresne & Robert S. Goldstein, 2007. "Portfolio Choice over the Life‐Cycle when the Stock and Labor Markets Are Cointegrated," Journal of Finance, American Finance Association, vol. 62(5), pages 2123-2167, October.
    5. John Beshears & James J. Choi & David Laibson & Brigitte C. Madrian, 2017. "Does Front-Loading Taxation Increase Savings? Evidence from Roth 401(k) Introductions," NBER Chapters, in: Personal Income Taxation and Household Behavior (TAPES), National Bureau of Economic Research, Inc.
    6. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    7. Lex Meijdam & Harrie Verbon, 1996. "Aging and political decision making on public pensions," Journal of Population Economics, Springer;European Society for Population Economics, vol. 9(2), pages 141-158, June.
    8. He, Lin & Liang, Zongxia, 2013. "Optimal dynamic asset allocation strategy for ELA scheme of DC pension plan during the distribution phase," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 404-410.
    9. 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.
    10. Dickson,David C. M. & Hardy,Mary R. & Waters,Howard R., 2013. "Actuarial Mathematics for Life Contingent Risks," Cambridge Books, Cambridge University Press, number 9781107044074, October.
    11. 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.
    12. Dickson,David C. M. & Hardy,Mary R. & Waters,Howard R., 2013. "Solutions Manual for Actuarial Mathematics for Life Contingent Risks," Cambridge Books, Cambridge University Press, number 9781107620261, February.
    13. De Menil, Georges & Murtin, Fabrice & Sheshinski, Eytan, 2006. "Planning for the optimal mix of paygo tax and funded savings," Journal of Pension Economics and Finance, Cambridge University Press, vol. 5(1), pages 1-25, March.
    14. Hansson, Ingemar & Stuart, Charles, 1989. "Social Security as Trade among Living Generations," American Economic Review, American Economic Association, vol. 79(5), pages 1182-1195, December.
    15. Roel M. W. J. Beetsma & A. Lans Bovenberg, 2009. "Pensions and Intergenerational Risk‐sharing in General Equilibrium," Economica, London School of Economics and Political Science, vol. 76(302), pages 364-386, April.
    16. Wang, Suxin & Lu, Yi & Sanders, Barbara, 2018. "Optimal investment strategies and intergenerational risk sharing for target benefit pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 80(C), pages 1-14.
    17. Jean-Daniel Guigou & Jang Schiltz, 2012. "Optimal mix of funded and unfunded pension systems: the case of Luxembourg," LSF Research Working Paper Series 12-13, Luxembourg School of Finance, University of Luxembourg.
    18. 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.
    19. Bodie, Zvi & Detemple, Jerome B. & Otruba, Susanne & Walter, Stephan, 2004. "Optimal consumption-portfolio choices and retirement planning," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1115-1148, March.
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