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Analyzing How the Social Security Reserve Fund in Spain Affects the Sustainability of the Pension System

Author

Listed:
  • Emilio Gómez-Déniz

    (Department of Quantitative Methods and TIDES Institute, University of Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, Spain)

  • Jorge V. Pérez-Rodríguez

    (Department of Quantitative Methods, University of Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, Spain)

  • Simón Sosvilla-Rivero

    (Complutense Institute for Economic Analysis, Universidad Complutense de Madrid, 28223 Madrid, Spain)

Abstract

Faced with the need to adjust public pension systems to meet changing demographic, economic and social conditions, most developed countries have created government reserve funds to ensure macroeconomic sustainability. This paper aims to study the importance that this reserve fund plays in the sustainability of the Spanish public pension system. Using data for the 2000 to 2019 period (20 observations) on the main variables impacting on the system, we calculate probabilities and other indicators of its unsustainability in relation to the reserve fund. Our model accurately reflects certain aspects of the data, and suggests that the probability of unsustainability is inversely associated with the size of the reserve fund, but that this relation is moderated by the heterogeneity of the members of the pension system. Moreover, the probability of unsustainability increases in line with the pension system deficit, the time elapsed until unsustainability is reached is shorter when the Reserve Fund balance falls, and the size of this fund at which the system becomes unsustainable diminishes with the probability of unsustainability.

Suggested Citation

  • Emilio Gómez-Déniz & Jorge V. Pérez-Rodríguez & Simón Sosvilla-Rivero, 2022. "Analyzing How the Social Security Reserve Fund in Spain Affects the Sustainability of the Pension System," Risks, MDPI, vol. 10(6), pages 1-17, June.
    • Handle: RePEc:gam:jrisks:v:10:y:2022:i:6:p:120-:d:835723
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    References listed on IDEAS

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    1. Albrecher, Hansjörg & Constantinescu, Corina & Loisel, Stephane, 2011. "Explicit ruin formulas for models with dependence among risks," Insurance: Mathematics and Economics, Elsevier, vol. 48(2), pages 265-270, March.
    2. Juan Yermo, 2008. "Governance and investment of sovereign and public pension reserve funds in selected OECD countries," OECD Journal: Financial Market Trends, OECD Publishing, vol. 2008(1), pages 133-161.
    3. Romp, Ward & Beetsma, Roel, 2020. "Sustainability of pension systems with voluntary participation," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 125-140.
    4. Holger Bonin & Joan Gil & Concepció Patxot, 2001. "Beyond the Toledo agreement: the intergenerational impact of the Spanish Pension Reform," Spanish Economic Review, Springer;Spanish Economic Association, vol. 3(2), pages 111-130.
    5. Dickson, David C.M. & Waters, Howard R., 2002. "The Distribution of the time to Ruin in the Classical Risk Model," ASTIN Bulletin, Cambridge University Press, vol. 32(2), pages 299-313, November.
    6. Juan Yermo, 2008. "Governance and Investment of Public Pension Reserve Funds in Selected OECD Countries," OECD Working Papers on Insurance and Private Pensions 15, OECD Publishing.
    7. Leszek K?sek & Thomas Laursen & Emilia Skrok, 2008. "Sustainability of Pension Systems in the New EU member States and Croatia : Coping with Aging Challenges and Fiscal Pressures," World Bank Publications - Books, The World Bank Group, number 6358.
    8. Huixin Bi & Sarah Zubairy, 2020. "Public Pension Reforms and Fiscal Foresight: Narrative Evidence and Aggregate Implications," Research Working Paper RWP 20-06, Federal Reserve Bank of Kansas City.
    9. Dickson,David C. M., 2005. "Insurance Risk and Ruin," Cambridge Books, Cambridge University Press, number 9780521846400.
    10. Frédéric Gannon & Florence Legros & Vincent Touzé, 2020. "Sustainability of pension schemes. Building a smooth automatic balance mechanism with an application to the us social security," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(6), pages 377-401.
    11. Frédéric Gannon & Florence Legros & Vincent Touzé, 2020. "Sustainability of pension schemes. Building a smooth automatic balance mechanism with an application to the us social security," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(6), pages 377-401.
    12. Stephanie Pamies & Adriana Reut, 2020. "Assessing public debt sustainability: some insights from an EU perspective into an inexorable question," Quarterly Report on the Euro Area (QREA), Directorate General Economic and Financial Affairs (DG ECFIN), European Commission, vol. 19(1), pages 27-43, June.
    13. María del Carmen Ramos-Herrera & Simón Sosvilla-Rivero, 2020. "Fiscal Sustainability in Aging Societies: Evidence from Euro Area Countries," Sustainability, MDPI, vol. 12(24), pages 1-20, December.
    14. Wang, Xue & Bohn, Frank, 2019. "Pension reserve fund, political budget cycles and fiscal illusion," European Journal of Political Economy, Elsevier, vol. 56(C), pages 62-73.
    15. Emilio Gómez-Déniz & José María Sarabia & Enrique Calderín-Ojeda, 2019. "Ruin Probability Functions and Severity of Ruin as a Statistical Decision Problem," Risks, MDPI, vol. 7(2), pages 1-16, June.
    16. Dickson, David C. M. & Waters, Howard R., 1992. "The Probability and Severity of Ruin in Finite and Infinite Time," ASTIN Bulletin, Cambridge University Press, vol. 22(2), pages 177-190, November.
    17. Panjer, Harry H., 1981. "Recursive Evaluation of a Family of Compound Distributions," ASTIN Bulletin, Cambridge University Press, vol. 12(1), pages 22-26, June.
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