IDEAS home Printed from https://ideas.repec.org/a/eee/insuma/v74y2017icp20-30.html
   My bibliography  Save this article

Intergenerational risk sharing in closing pension funds

Author

Listed:
  • Boonen, Tim J.
  • De Waegenaere, Anja

Abstract

We model intergenerational risk sharing in closing funded pension plans. Specifically, we consider a setting in which in each period, the pension fund’s investment and indexation policy is the outcome of a bargaining process between representatives of the then living generations. Because some generations might be under- or overrepresented in the board, we use the asymmetric Nash bargaining solution to allow for differences in bargaining powers. In a numerical study, we compare the welfare that the generations derive from the outcome of this repeated bargaining to the welfare that they would derive if a social planner’s optimal policy would instead be implemented. We find that as compared to the social optimum, older generations benefit substantially from the repeated bargaining, even if all generations are equally well-represented in the board. If older generations are relatively over-represented, as is sometimes argued, these effects are attenuated.

Suggested Citation

  • Boonen, Tim J. & De Waegenaere, Anja, 2017. "Intergenerational risk sharing in closing pension funds," Insurance: Mathematics and Economics, Elsevier, vol. 74(C), pages 20-30.
  • Handle: RePEc:eee:insuma:v:74:y:2017:i:c:p:20-30
    DOI: 10.1016/j.insmatheco.2017.02.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167668716302402
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.insmatheco.2017.02.002?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Stadje, M.A. & Pelsser, A., 2014. "Time-Consistent and Market-Consistent Evaluations (Revised version of 2012-086)," Discussion Paper 2014-002, Tilburg University, Center for Economic Research.
    2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    3. Hubbard, R Glenn & Skinner, Jonathan & Zeldes, Stephen P, 1995. "Precautionary Saving and Social Insurance," Journal of Political Economy, University of Chicago Press, vol. 103(2), pages 360-399, April.
    4. Antoon Pelsser & Mitja Stadje, 2014. "Time-Consistent And Market-Consistent Evaluations," Mathematical Finance, Wiley Blackwell, vol. 24(1), pages 25-65, January.
    5. Hoevenaars, Roy P.M.M. & Ponds, Eduard H.M., 2008. "Valuation of intergenerational transfers in funded collective pension schemes," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 578-593, April.
    6. Jan Bonenkamp & Ed Westerhout, 2014. "Intergenerational Risk Sharing and Endogenous Labour Supply within Funded Pension Schemes," Economica, London School of Economics and Political Science, vol. 81(323), pages 566-592, July.
    7. Laurence Ball & N. Gregory Mankiw, 2007. "Intergenerational Risk Sharing in the Spirit of Arrow, Debreu, and Rawls, with Applications to Social Security Design," Journal of Political Economy, University of Chicago Press, vol. 115(4), pages 523-547, August.
    8. Eric van Damme, 1984. "The Nash Bargaining Solution is Optimal," Discussion Papers 597, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Ethan Ligon & Jonathan P. Thomas & Tim Worrall, 2002. "Informal Insurance Arrangements with Limited Commitment: Theory and Evidence from Village Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 209-244.
    10. Coen Teulings & Casper Vries, 2006. "Generational Accounting, Solidarity and Pension Losses," De Economist, Springer, vol. 154(1), pages 63-83, March.
    11. Goecke, Oskar, 2013. "Pension saving schemes with return smoothing mechanism," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 678-689.
    12. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-265, April.
    13. 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 647-658, October.
    14. 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.
    15. Merton, Robert C. & Samuelson, Paul A., 1974. "Fallacy of the log-normal approximation to optimal portfolio decision-making over many periods," Journal of Financial Economics, Elsevier, vol. 1(1), pages 67-94, May.
    16. Gordon, Roger H. & Varian, Hal R., 1988. "Intergenerational risk sharing," Journal of Public Economics, Elsevier, vol. 37(2), pages 185-202, November.
    17. Bovenberg, A.L. & Koijen, R.S.J. & Nijman, T.E. & Teulings, C.N., 2007. "Saving and investing over the life cycle and the role of collective pension funds," Other publications TiSEM 6eab1341-eda5-4f21-8c06-8, Tilburg University, School of Economics and Management.
    18. Stadje, M.A. & Pelsser, A., 2014. "Time-Consistent and Market-Consistent Evaluations (Revised version of 2012-086)," Other publications TiSEM 0841e78f-a73b-42c1-b7d4-0, Tilburg University, School of Economics and Management.
    19. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," The Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    20. 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.
    21. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    22. Damme, Eric van, 1986. "The Nash bargaining solution is optimal," Journal of Economic Theory, Elsevier, vol. 38(1), pages 78-100, February.
    23. Pelsser, Antoon & Salahnejhad Ghalehjooghi, Ahmad, 2016. "Time-consistent actuarial valuations," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 97-112.
    24. Dirk Krueger & Felix Kubler, 2002. "Intergenerational Risk-Sharing via Social Security when Financial Markets Are Incomplete," American Economic Review, American Economic Association, vol. 92(2), pages 407-410, May.
    25. Ed Westerhout, 2011. "Intergenerational Risk Sharing in Time-Consistent Funded Pension Schemes," CPB Discussion Paper 176, CPB Netherlands Bureau for Economic Policy Analysis.
    26. Gollier, Christian, 2008. "Intergenerational risk-sharing and risk-taking of a pension fund," Journal of Public Economics, Elsevier, vol. 92(5-6), pages 1463-1485, June.
    27. Cui, Jiajia & Jong, Frank De & Ponds, Eduard, 2011. "Intergenerational risk sharing within funded pension schemes," Journal of Pension Economics and Finance, Cambridge University Press, vol. 10(1), pages 1-29, January.
    28. Beetsma, Roel M. W. J. & Bucciol, Alessandro, 2015. "Risk Reallocation In Defined-Contribution Funded Pension Systems," Macroeconomic Dynamics, Cambridge University Press, vol. 19(1), pages 22-57, January.
    29. van Damme, E.E.C., 1986. "The Nash bargaining solution is optimal," Other publications TiSEM b408f4e4-5094-48a1-a02f-5, Tilburg University, School of Economics and Management.
    30. Blake, David, 1998. "Pension schemes as options on pension fund assets: implications for pension fund management," Insurance: Mathematics and Economics, Elsevier, vol. 23(3), pages 263-286, December.
    31. Hoevenaars, J. & Ponds, E.H.M., 2008. "Valuation of intergenerational transfers in collective funded pension schemes," Other publications TiSEM 2c1afa01-df29-490e-bc52-8, Tilburg University, School of Economics and Management.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Romp, Ward & Beetsma, Roel, 2020. "Sustainability of pension systems with voluntary participation," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 125-140.
    2. Bégin, Jean-François, 2020. "Levelling the playing field: A VIX-linked structure for funded pension schemes," Insurance: Mathematics and Economics, Elsevier, vol. 94(C), pages 58-78.
    3. Mehlkopf, R.J., 2011. "Risk sharing with the unborn," Other publications TiSEM fe8a8df6-455f-4624-af10-9, Tilburg University, School of Economics and Management.
    4. Marcel Lever & Ilja Boelaars & Ryanne Cox & Roel Mehlkopf, 2015. "The allocation of financial risks during the life cycle in individual and collective DC pension contracts," CPB Discussion Paper 317, CPB Netherlands Bureau for Economic Policy Analysis.
    5. Damiaan Chen & Roel Beetsma & Dirk Broeders, 2015. "Stability of participation in collective pension schemes: An option pricing approach," DNB Working Papers 484, Netherlands Central Bank, Research Department.
    6. Beetsma, R. & Romp, W., 2016. "Intergenerational Risk Sharing," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 311-380, Elsevier.
    7. 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.
    8. Alserda, G.A.G. & Steenbeek, O.W. & van der Lecq, S.G., 2017. "The Occurrence and Impact of Pension Fund Discontinuity," ERIM Report Series Research in Management ERS-2017-008-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    9. Chen, Damiaan H.J. & Beetsma, Roel M.W.J. & Broeders, Dirk W.G.A. & Pelsser, Antoon A.J., 2017. "Sustainability of participation in collective pension schemes: An option pricing approach," Insurance: Mathematics and Economics, Elsevier, vol. 74(C), pages 182-196.
    10. Marcel Lever & Ilja Boelaars & Ryanne Cox & Roel Mehlkopf, 2015. "The allocation of financial risks during the life cycle in individual and collective DC pension contracts," CPB Discussion Paper 317.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    11. Wang, Suxin & Lu, Yi, 2019. "Optimal investment strategies and risk-sharing arrangements for a hybrid pension plan," Insurance: Mathematics and Economics, Elsevier, vol. 89(C), pages 46-62.
    12. Ed Westerhout & Jan Bonenkamp & Peter Broer, 2014. "Collective versus Individual Pension Schemes: a Welfare-Theoretical Perspective," CPB Discussion Paper 287, CPB Netherlands Bureau for Economic Policy Analysis.
    13. Ilja Boelaars & Roel Mehlkopf, 2018. "Optimal risk-sharing in pension funds when stock and labor markets are co-integrated," DNB Working Papers 595, Netherlands Central Bank, Research Department.
    14. Hoevenaars, J. & Ponds, E.H.M., 2008. "Valuation of intergenerational transfers in collective funded pension schemes," Other publications TiSEM 2c1afa01-df29-490e-bc52-8, Tilburg University, School of Economics and Management.
    15. Roel Beetsma & Ward Romp, 2013. "Participation Constraints in Pension Systems," Tinbergen Institute Discussion Papers 13-149/VI, Tinbergen Institute.
    16. Chen, Damiaan H. J. & Beetsma, Roel M. W. J. & Ponds, Eduard H. M. & Romp, Ward E., 2016. "Intergenerational risk-sharing through funded pensions and public debt," Journal of Pension Economics and Finance, Cambridge University Press, vol. 15(2), pages 127-159, April.
    17. Hoevenaars, Roy P.M.M. & Ponds, Eduard H.M., 2008. "Valuation of intergenerational transfers in funded collective pension schemes," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 578-593, April.
    18. An Chen & Motonobu Kanagawa & Fangyuan Zhang, 2021. "Intergenerational risk sharing in a Defined Contribution pension system: analysis with Bayesian optimization," Papers 2106.13644, arXiv.org, revised Mar 2023.
    19. Joan Esteban & József Sákovics, 2002. "Endogenous bargaining power," Economics Working Papers 644, Department of Economics and Business, Universitat Pompeu Fabra.
    20. Broeders, Dirk & Mehlkopf, Roel & van Ool, Annick, 2021. "The economics of sharing macro-longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 440-458.

    More about this item

    Keywords

    Defined benefit; Dynamic bargaining; Asymmetric Nash bargaining solution; Pension funds; Intergenerational risk sharing;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:insuma:v:74:y:2017:i:c:p:20-30. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505554 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.