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How automatic adjustment factors affect the internal rate of return of PAYG pension systems

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  • KNELL, MARKUS

Abstract

In this paper we analyze automatic adjustment factors that can be used to keep the budget of a PAYG pension system balanced when cohort sizes fluctuate. The adjustment factors are defined in a way that is similar to their real-world counterparts and they differ in the relative weight they put on changes in the contribution rate and in the pension level. We show how the internal rate of return of the PAYG system depends on the fluctuations in cohort size and on the choice of the adjustment regime. We find that fluctuations in the cohort size have the smallest impact on the internal rate of return if the relative weight of the adjustment parameters directly corresponds to the length of the retirement period relative to the length of the working period. For reasonable numerical values, this weight is close to the actual choice in the German system.

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  • Knell, Markus, 2010. "How automatic adjustment factors affect the internal rate of return of PAYG pension systems," Journal of Pension Economics and Finance, Cambridge University Press, vol. 9(1), pages 1-23, January.
    • Handle: RePEc:cup:jpenef:v:9:y:2010:i:01:p:1-23_99
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    1. Hassler, J. & Lindbeck, A., 1997. "Intergenerational Risk Sharing, Stability and Optimality of Alternative Pension Systems," Papers 631, Stockholm - International Economic Studies.
    2. ûystein ThÛgersen, 1998. "A note on intergenerational risk sharing and the design of pay-as-you-go pension programs," Journal of Population Economics, Springer;European Society for Population Economics, vol. 11(3), pages 373-378.
    3. Fehr, Hans & Habermann, Christian, 2006. "Pension reform and demographic uncertainty: the case of Germany," Journal of Pension Economics and Finance, Cambridge University Press, vol. 5(1), pages 69-90, March.
    4. Nicholas Barr & Peter Diamond, 2006. "The Economics of Pensions," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 22(1), pages 15-39, Spring.
    5. Dirk Krueger & Felix Kubler, 2006. "Pareto-Improving Social Security Reform when Financial Markets are Incomplete!?," American Economic Review, American Economic Association, vol. 96(3), pages 737-755, June.
    6. Wagener, Andreas, 2004. "On intergenerational risk sharing within social security schemes," European Journal of Political Economy, Elsevier, vol. 20(1), pages 181-206, March.
    7. Robert Fenge & Martin Werding, 2003. "Ageing and Fiscal Imbalances Across Generations: Concepts of Measurement," CESifo Working Paper Series 842, CESifo.
    8. 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.
    9. Hans-Werner Sinn, 2005. "Europe’s Demographic Deficit A Plea For A Child Pension System," De Economist, Springer, vol. 153(1), pages 1-45, December.
    10. Assar Lindbeck & Mats Persson, 2003. "The Gains from Pension Reform," Journal of Economic Literature, American Economic Association, vol. 41(1), pages 74-112, March.
    11. Palmer, Edward, 2000. "The Swedish pension reform model : framework and issues," Social Protection Discussion Papers and Notes 23086, The World Bank.
    12. Henning Bohn, 2001. "Social Security and Demographic Uncertainty: The Risk-Sharing Properties of Alternative Policies," NBER Chapters, in: Risk Aspects of Investment-Based Social Security Reform, pages 203-246, National Bureau of Economic Research, Inc.
    13. repec:hhs:iuiwop:493 is not listed on IDEAS
    14. Andreas Wagener, 2003. "Pensions as a portfolio problem: fixed contribution rates vs. fixed replacement rates reconsidered," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(1), pages 111-134, February.
    15. Börsch-Supan, Axel & Christina Benita Wilke, 2003. "The German Public Pension System: How it Was, How it Will Be," MEA discussion paper series 03034, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    16. Friedrich Breyer & Mathias Kifmann, 2004. "The German Retirement Benefit Formula: Drawbacks and Alternatives," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 60(1), pages 63-82, April.
    17. Axel H. Börsch-Supan & Christina B. Wilke, 2003. "The German Public Pension System: How it Was, How it Will Be," Working Papers wp041, University of Michigan, Michigan Retirement Research Center.
    18. Börsch-Supan, Axel & Reil-Held, Anette & Christina Benita Wilke, 2003. "How to make a Defined Benefit System Sustainable: The Sustainability Factor in the German Benefit Indexation Formula," MEA discussion paper series 03037, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
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    Cited by:

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    2. Christl, Michael & Kucsera, Dénes, 2015. "Reformoptionen des österreichischen Pensionssystem und ihre finanziellen Auswirkungen," EconStor Preprints 113283, ZBW - Leibniz Information Centre for Economics.
    3. Markus Knell, 2013. "The Austrian System of Individual Pension Accounts – An Unfinished Symphony," Monetary Policy & the Economy, Oesterreichische Nationalbank (Austrian Central Bank), issue 4, pages 47-62.
    4. Pierre Devolder & Susanna Levantesi & Massimiliano Menzietti, 2021. "Automatic balance mechanisms for notional defined contribution pension systems guaranteeing social adequacy and financial sustainability: an application to the Italian pension system," Annals of Operations Research, Springer, vol. 299(1), pages 765-795, April.
    5. Szüle, Borbála, 2013. "Demográfiai hatások és implicit hozamok kapcsolata a nyugdíjrendszerekben [The relationship of demographic effects and implicit returns in pension systems]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(6), pages 703-721.
    6. Metzger, Christoph, 2016. "The German statutory pension scheme: Balance sheet, cross-sectional internal rates of return and implicit tax rates," FZG Discussion Papers 63, University of Freiburg, Research Center for Generational Contracts (FZG).
    7. Godbout, Luc & Trudel, Yves & St-Cerny, Suzie, 2013. "Le régime de rentes du Québec : le rendement différencié selon l’année de prise de la retraite de 1968 jusqu’en 2056," L'Actualité Economique, Société Canadienne de Science Economique, vol. 89(2), pages 89-113, Juin.
    8. Alonso-García, Jennifer & Devolder, Pierre, 2019. "Continuous time model for notional defined contribution pension schemes: Liquidity and solvency," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 57-76.
    9. Knell, Markus, 2013. "The Intergenerational Distribution of Demographic Fluctuations in Unfunded and Funded Pension Systems," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79830, Verein für Socialpolitik / German Economic Association.

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