Controlling a demographic wave in defined contribution pension systems

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In several developed countries, the baby boomers will come to retire in the next decades. This problem will threaten the sustainability and the intergenerational equity of mandatory pay-as-you-go pension systems because they will have to drain the “demographic wave” of retirees with a relatively small number of contributors. In this paper, we give the operating method developed on the basis of a general principle, which a defined contribution pension system, in a state of stable sustainability, should adopt to control these issues in the presence of a demographic wave. In the theoretical profile, our approach breaks and overcomes the classical juxtaposition between funded and pay-as-you-go pension schemes, carrying out the integration of the two financial methods.

[1] M. ANGRISANI. Funded and unfunded systems: two ends of the same stick. 28th International Congress of Actuaries PARIS: ICA, 2006.

[2] M. ANGRISANI. The logical sustainability of the pension system. Pure Mathemathics and Applications, 19:67–81, 2008.

[3] M. ANGRISANI, A. ATTIAS, S. BIANCHI, and Z. VARGA. Sustainability of a pay-as-you-go pension system by dynamic immigration control. Applied Mathematics and Computation, 219(5):2442–2452, 2012.

[4] M. ANGRISANI and C. DI PALO. An extension of aaron’s sustainable rate of return to partially funded pension systems. International Journal of Sustainable Economy, 4(3):213–233, 2012.

[5] N. S. BLOMQUIST and H. WIJKANDER. Fertility waves, aggregate savings and the rate of interest. Journal of Population Economics, 7(1):27–48, 1994.

[6] G. BONOLI and T. SHINKAWA. Population ageing and the logics of pension reform in Western Europe, East Asia and North America. Ageing and pension reform around the world: evidence from eleven countries, pages 1–23, 2005.

[7] M. FELDSTEIN and E. RANGUELOVA. Accumulated pension collars: A market approach to reducing the risk of investment-based social security reform. Technical report, National Bureau of Economic Research, 2000.

[8] R. HOLZMANN, E. PALMER, and D. ROBALINO. Nonfinancial Defined Contribution Pension Schemes in a Changing Pension World: Volume 1 Progress, issues, and implementation, volume 1. World Bank Publications, 2012.

[9] R. HOLZMANN, E. PALMER, and D. ROBALINO. Nonfinancial Defined Contribution Pension Schemes in a Changing Pension World: Volume 2 Gender, Politics, and Financial Stability, volume 2. World Bank Publications, 2012.

[10] Human Mortality Database. Data on mortality. Book, University of California, Berkeley (USA) and Max Planck Institute for Demographic Research (Germany). Available at, (data downloaded 2012).

[11] M. KNELL. Pay-As-You-Go A Relict from the Past or a Promise for the Future. Winning contribution of the Hannes Androsch Prize, 2011.

[12] R. LEE. The demographic transition: Three centuries of fundamental change. Journal of Economic Perspectives, 17(4):167–190, 2003.

[13] F. MODIGLIANI, M. CEPRINI, and L. MURALIDHAR. An MIT Solution to the Problems of Social Security Crisis. Technical report, MIT Sloan Working Paper SWP4051, 1999.

[14] A. PIANESE, A. ATTIAS, and Z. VARGA. Dynamic immigration control improving inverse old-age dependency ratio in a pay-as-you-go pension system. Decision Support Systems, 64:109–117, 2014.

[15] National Social Insurance Board (RFV). The Swedish Pension System Annual Report 2001. Report, National Social Insurance Board, 2002.

Journal Information

Mathematical Citation Quotient (MCQ) 2017: 0.11

Target Group

researchers in the fields of algebra and theoretical computer science


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