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A Stochastic Model for the Analysis of Demographic Risk in Pay-As-You-Go Pension Funds

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  • Alessandro Fiori Maccioni

    (CRENoS and University of Sassari)

Abstract

This research presents an analysis of the demographic risk related to future membership patterns in pension funds with restricted entrance, financed under a pay-as-you-go scheme. The paper, therefore, proposes a stochastic model for investigating the behaviour of the demographic variable "new entrants" and the influence it exerts on the financial dynamics of such funds. Further information on pension funds of Italian professional categories and an application to the Cassa Nazionale di Previdenza e Assistenza dei Dottori Commercialisti (CNPADC) are then provided.

Suggested Citation

  • Alessandro Fiori Maccioni, 2011. "A Stochastic Model for the Analysis of Demographic Risk in Pay-As-You-Go Pension Funds," Papers 1106.5081, arXiv.org.
  • Handle: RePEc:arx:papers:1106.5081
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    References listed on IDEAS

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    1. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    2. Colombo, Luigi & Haberman, Steven, 2005. "Optimal contributions in a defined benefit pension scheme with stochastic new entrants," Insurance: Mathematics and Economics, Elsevier, vol. 37(2), pages 335-354, October.
    3. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    4. Sinn, Hans-Werner, 2004. "The pay-as-you-go pension system as fertility insurance and an enforcement device," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1335-1357, July.
    5. Mandl, Petr & Mazurova, Lucie, 1996. "Harmonic analysis of pension funding methods," Insurance: Mathematics and Economics, Elsevier, vol. 17(3), pages 203-214, April.
    6. Hans-Werner Sinn, 1997. "The Value of Children and Immigrants in a Pay-As-You-Go Pension System: A Proposal for a Partial Transition to a Funded System," NBER Working Papers 6229, National Bureau of Economic Research, Inc.
    7. Olivieri, Annamaria, 2001. "Uncertainty in mortality projections: an actuarial perspective," Insurance: Mathematics and Economics, Elsevier, vol. 29(2), pages 231-245, October.
    8. Gary Parker, 1997. "Stochastic Analysis of the Interaction Between Investment and Insurance Risks," North American Actuarial Journal, Taylor & Francis Journals, vol. 1(2), pages 55-71.
    9. Hans-Werner Sinn, 2000. "Why a Funded Pension System is Useful and Why It is Not Useful," NBER Working Papers 7592, National Bureau of Economic Research, Inc.
    10. A. Roger Thatcher & Väinö Kannisto & Kirill F. Andreev, 2002. "The Survivor Ratio Method for Estimating Numbers at High Ages," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 6(1), pages 1-18.
    11. Cairns, Andrew J. G. & Parker, Gary, 1997. "Stochastic pension fund modelling," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 43-79, October.
    12. Guillaume Plantin & Jean-Charles Rochet, 2007. "Introduction to When Insurers Go Bust: An Economic Analysis of the Role and Design of Prudential Regulation," Introductory Chapters, in: When Insurers Go Bust: An Economic Analysis of the Role and Design of Prudential Regulation, Princeton University Press.
    13. Abío, G. & Mahieu, G. & Patxot, C., 2004. "On the optimality of PAYG pension systems in an endogenous fertility setting," Journal of Pension Economics and Finance, Cambridge University Press, vol. 3(1), pages 35-62, March.
    14. 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.
    15. Ermanno Pitacco, 2002. "Longevity Risk in Living Benefits," CeRP Working Papers 23, Center for Research on Pensions and Welfare Policies, Turin (Italy).
    16. Cairns, Andrew J.G. & Blake, David & Dowd, Kevin, 2006. "Pricing Death: Frameworks for the Valuation and Securitization of Mortality Risk," ASTIN Bulletin, Cambridge University Press, vol. 36(1), pages 79-120, May.
    17. Olivieri, Annamaria & Pitacco, Ermanno, 2003. "Solvency requirements for pension annuities," Journal of Pension Economics and Finance, Cambridge University Press, vol. 2(2), pages 127-157, July.
    18. Hans-Werner Sinn, 2000. "Why a Funded Pension System is Needed and Why It is Not Needed," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 7(4), pages 389-410, August.
    19. Ronald Lee, 2000. "The Lee-Carter Method for Forecasting Mortality, with Various Extensions and Applications," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(1), pages 80-91.
    20. Hans-Werner Sinn, 1999. "Pension Reform and Demographic Crisis: Why a Funded System is Needed and why it is not Needed," CESifo Working Paper Series 195, CESifo.
    21. Carlo Bianchi & Marzia Romanelli & Pietro A. Vagliasindi, 2003. "Microsimulating the Evolution of Italian Pension Benefits: the Role of Retirement Choices and Lowest Pensions Indexing," LABOUR, CEIS, vol. 17(SpecialIs), pages 139-173, August.
    22. Haberman, Steven, 1997. "Stochastic investment returns and contribution rate risk in a defined benefit pension scheme," Insurance: Mathematics and Economics, Elsevier, vol. 19(2), pages 127-139, April.
    23. Angrisani, M., Attias, A., Bianchi, S. & Varga, Z., 2004. "Demographic dynamics for the pay-as-you-go pension system," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 15(4), pages 357-374.
    24. Blake, David & Cairns, Andrew J. G. & Dowd, Kevin, 2001. "Pensionmetrics: stochastic pension plan design and value-at-risk during the accumulation phase," Insurance: Mathematics and Economics, Elsevier, vol. 29(2), pages 187-215, October.
    25. Pitacco, Ermanno, 2004. "Survival models in a dynamic context: a survey," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 279-298, October.
    26. Yijia Lin & Samuel H. Cox, 2005. "Securitization of Mortality Risks in Life Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(2), pages 227-252, June.
    27. Gerrard, Russell & Haberman, Steven & Vigna, Elena, 2004. "Optimal investment choices post-retirement in a defined contribution pension scheme," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 321-342, October.
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