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Article

A Microsimulation Model for Sustainability and Detailed Adequacy Analysis of the Retirement Pension System

by
Jaime Villanueva-García
1,
Ignacio Moral-Arce
2 and
Luis Javier García Villalba
1,*
1
Group of Analysis, Security and Systems (GASS), Department of Software Engineering and Artificial Intelligence (DISIA), Faculty of Computer Science and Engineering, Complutense University of Madrid (UCM), 28040 Madrid, Spain
2
Institute of Fiscal Studies (IEF), Ministry of Finance, Avenida del Cardenal Herrera Oria 378, 28035 Madrid, Spain
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(3), 443; https://doi.org/10.3390/math13030443
Submission received: 12 December 2024 / Revised: 19 January 2025 / Accepted: 23 January 2025 / Published: 28 January 2025
(This article belongs to the Special Issue Computational Economics and Mathematical Modeling)

Abstract

The sustainability and adequacy of pension systems are central to public policy debates in aging societies. This paper introduces a novel microsimulation model with probabilistic behavior to assess these dual challenges in the Spanish pension system. The model employs a mixed-projection method, integrating a macro approach—using economic and demographic aggregates from official sources such as the Spanish Statistics Office (INE) and Eurostat—with a micro approach based on the Continuous Sample of Working Lives (MCVL) dataset from Spanish Social Security. This framework enables individual-level projections of key labor market variables, including work time, salary, and initial pensions, under diverse reform scenarios. The results demonstrate the model’s ability to predict initial pensions with high accuracy, providing detailed insights into adequacy by age, gender, and income levels, as well as distributional measures such as density functions and quantiles. Sustainability findings indicate that pension expenditures are projected to stabilize at 13.9% of Gross Domestic Product (GDP) by 2050. The proposed model provides a robust and versatile tool for policymakers, offering a comprehensive evaluation of the long-term impacts of pension reforms on both system sustainability and individual adequacy.
Keywords: microsimulation; retirement pension; sustainability; adequacy microsimulation; retirement pension; sustainability; adequacy

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MDPI and ACS Style

Villanueva-García, J.; Moral-Arce, I.; García Villalba, L.J. A Microsimulation Model for Sustainability and Detailed Adequacy Analysis of the Retirement Pension System. Mathematics 2025, 13, 443. https://doi.org/10.3390/math13030443

AMA Style

Villanueva-García J, Moral-Arce I, García Villalba LJ. A Microsimulation Model for Sustainability and Detailed Adequacy Analysis of the Retirement Pension System. Mathematics. 2025; 13(3):443. https://doi.org/10.3390/math13030443

Chicago/Turabian Style

Villanueva-García, Jaime, Ignacio Moral-Arce, and Luis Javier García Villalba. 2025. "A Microsimulation Model for Sustainability and Detailed Adequacy Analysis of the Retirement Pension System" Mathematics 13, no. 3: 443. https://doi.org/10.3390/math13030443

APA Style

Villanueva-García, J., Moral-Arce, I., & García Villalba, L. J. (2025). A Microsimulation Model for Sustainability and Detailed Adequacy Analysis of the Retirement Pension System. Mathematics, 13(3), 443. https://doi.org/10.3390/math13030443

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