IDEAS home Printed from https://ideas.repec.org/a/taf/sactxx/v2017y2017i8p651-669.html
   My bibliography  Save this article

Financial fairness and conditional indexation

Author

Listed:
  • Torsten Kleinow
  • Johannes M. Schumacher

Abstract

Collective pension contracts can generate advantages for their participants by implementing forms of risk sharing. To ensure the continuity of a collective scheme, it has to be monitored whether the contracts offered to participants are financially fair in terms of their market value. When risk sharing is implemented by means of optionalities such as conditional indexation, the analysis of financial fairness is not straightforward. In this paper, we use a stylised overlapping generations model to study financial fairness for a conditional indexation scheme. We find that financial fairness for all participants at all times is not feasible within a scheme of this type, unless the nature of indexation is such that the scheme is reduced to DC. However, financial fairness for incoming generations at the moment of entry can be realised. We show how to compute the fair contribution rate as a function of the current nominal asset/liability ratio for a given level of nominal entitlements. At low levels of the ratio, the fair contribution for incoming generations is also relatively low; nevertheless, the joining of a new generation still has a positive effect on the asset/liability ratio.

Suggested Citation

  • Torsten Kleinow & Johannes M. Schumacher, 2017. "Financial fairness and conditional indexation," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2017(8), pages 651-669, September.
    • Handle: RePEc:taf:sactxx:v:2017:y:2017:i:8:p:651-669
    DOI: 10.1080/03461238.2016.1225592
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03461238.2016.1225592
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03461238.2016.1225592?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    3. 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.
    4. 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.
    5. 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.
    6. Lans Bovenberg & Roel Mehlkopf, 2014. "Optimal Design of Funded Pension Schemes," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 445-474, August.
    7. Dai, Renxiang & Schumacher, J.M., 2009. "Welfare analysis of conditional indexation schemes from a two-reference-point perspective," Journal of Pension Economics and Finance, Cambridge University Press, vol. 8(3), pages 321-350, July.
    8. 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.
    9. Vigna, Elena & Haberman, Steven, 2001. "Optimal investment strategy for defined contribution pension schemes," Insurance: Mathematics and Economics, Elsevier, vol. 28(2), pages 233-262, April.
    10. Kleinow, Torsten, 2011. "Pension Fund Management and Conditional Indexation," ASTIN Bulletin, Cambridge University Press, vol. 41(1), pages 61-86, May.
    11. de Jong, Frank, 2008. "Pension fund investments and the valuation of liabilities under conditional indexation," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 1-13, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Bao, Hailong & Ponds, Eduard H.M. & Schumacher, Johannes M., 2017. "Multi-period risk sharing under financial fairness," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 49-66.

    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. 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.
    2. 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.
    3. 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.
    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. Romp, Ward & Beetsma, Roel, 2020. "Sustainability of pension systems with voluntary participation," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 125-140.
    7. Roel Beetsma & Ward Romp, 2013. "Participation Constraints in Pension Systems," Tinbergen Institute Discussion Papers 13-149/VI, Tinbergen Institute.
    8. 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.
    9. 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.
    10. 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.
    11. Molenaar, R. & Ponds, E.H.M., 2011. "Risk Sharing and Individual Lifecycle Investing in Funded Collective Pensions," Other publications TiSEM b036a69d-317f-41c5-9581-f, Tilburg University, School of Economics and Management.
    12. 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.
    13. Bao, Hailong & Ponds, Eduard H.M. & Schumacher, Johannes M., 2017. "Multi-period risk sharing under financial fairness," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 49-66.
    14. Mehlkopf, R.J., 2011. "Risk sharing with the unborn," Other publications TiSEM fe8a8df6-455f-4624-af10-9, Tilburg University, School of Economics and Management.
    15. Cui, J. & Ponds, E.H.M., 2010. "Can internal swap markets enhance welfare in defined contribution plans?," Other publications TiSEM 09cd56cd-3c3b-4c8c-9b93-a, Tilburg University, School of Economics and Management.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. Jacob A. Bikker & Dirk W. G. A. Broeders & David A. Hollanders & Eduard H. M. Ponds, 2012. "Pension Funds’ Asset Allocation and Participant Age: A Test of the Life-Cycle Model," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(3), pages 595-618, September.

    More about this item

    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:taf:sactxx:v:2017:y:2017:i:8:p:651-669. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/sact .

    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.