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On Consumption-Indexed Public Pension Plans

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  • Robert C. Merton

Abstract

Using the known result that life-cycle investors will optimally hold portfolios whose returns are perfectly correlated with aggregate consumption, this paper uses a simple intertemporal general equilibrium model to explore the merits and feasibility of pension plans where both accumulations and benefits are linked to aggregate per capita consumption. Although the analysis is made within the framework of a public pension plan, it applies equally well to organized private pension plans where participation is virtually mandatory and where individually designed programs are not practical. An additional feature of the plans examined is that they provide for life annuities during both the accumulation and retirement phases of the life cycle.

Suggested Citation

  • Robert C. Merton, 1982. "On Consumption-Indexed Public Pension Plans," NBER Working Papers 0910, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:0910
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    References listed on IDEAS

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    1. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    2. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    3. 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.
    4. Stanley Fischer, 1982. "Welfare Aspects of Government Issue of Indexed Bonds," NBER Working Papers 0874, National Bureau of Economic Research, Inc.
    5. Abba P. Lerner, 1959. "Consumption-Loan Interest and Money," Journal of Political Economy, University of Chicago Press, vol. 67(5), pages 512-512.
    6. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
    7. Paul A. Samuelson, 1959. "Consumption-Loan Interest and Money: Reply," Journal of Political Economy, University of Chicago Press, vol. 67(5), pages 518-518.
    8. P. S. Dasgupta, 1969. "On the Concept of Optimum Population," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 295-318.
    9. Diamond, P. A., 1977. "A framework for social security analysis," Journal of Public Economics, Elsevier, vol. 8(3), pages 275-298, December.
    10. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    11. Samuelson, Paul A, 1976. "The Optimum Growth Rate for Population: Agreement and Evaluations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 516-525, June.
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    Cited by:

    1. Blake, David & Cairns, Andrew J. G. & Dowd, Kevin, 2003. "Pensionmetrics 2: stochastic pension plan design during the distribution phase," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 29-47, August.
    2. 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.
    3. Westerhout, Ed & Meijdam, Lex & Ponds, Eduard & Bonenkamp, Jan, 2022. "Should we revive PAYG? On the optimal pension system in view of current economic trends," European Economic Review, Elsevier, vol. 148(C).
    4. 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.
    5. Robert J. Shiller, 1997. "Expanding the Scope of Individual Risk Management: Moral Hazard and Other Behavioral Considerations," Cowles Foundation Discussion Papers 1145, Cowles Foundation for Research in Economics, Yale University.
    6. Wolfram Horneff & Raimond Maurer & Olivia Mitchell & Ivica Dus, 2006. "Optimizing the Retirement Portfolio: Asset Allocation, Annuitization, and Risk Aversion," Working Papers wp124, University of Michigan, Michigan Retirement Research Center.
    7. repec:hum:wpaper:sfb649dp2009-022 is not listed on IDEAS
    8. Lewis Evans & Neil Quigley, 2013. "Intergenerational Contracts and Time Consistency: Implications for Policy Settings and Governance in the Social Welfare System," Treasury Working Paper Series 13/25, New Zealand Treasury.
    9. Post, Thomas, 2009. "Individual welfare gains from deferred life-annuities under stochastic Lee-Carter mortality," SFB 649 Discussion Papers 2009-022, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    10. Robert J. Shiller, 1997. "Public Resistance to Indexation: A Puzzle," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 28(1), pages 159-228.
    11. Diamond, P., 1994. "Insulations of pensions from Political Risk," Working papers 94-20, Massachusetts Institute of Technology (MIT), Department of Economics.
    12. Dirk Broeders & Paul Hilbers & David Rijsbergen & Ningli Shen, 2014. "What Drives Pension Indexation in Turbulent Times? An Empirical Examination of Dutch Pension Funds," De Economist, Springer, vol. 162(1), pages 41-70, March.
    13. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    14. Edward P. Lazear, 1985. "Incentive Effects of Pensions," NBER Chapters, in: Pensions, Labor, and Individual Choice, pages 253-282, National Bureau of Economic Research, Inc.

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