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A study of asset and liability management applied to Brazilian pension funds

Author

Listed:
  • Bernardino, Wilton
  • Falcão, Rodrigo
  • Jr., João
  • Ospina, Raydonal
  • de Souza, Filipe Costa
  • Correia, José Jonas Alves

Abstract

Asset and Liability Management (ALM) is a critical framework for pension funds, ensuring they have sufficient assets to meet future liabilities (pension payments) while managing investment risks effectively. This paper utilizes Brazilian data to develop an ALM model specifically for pension funds in the country. The model employs an optimization strategy that minimizes expected contributions made by individuals throughout their working lives. This optimization adheres to cash flow limitations and regulatory restrictions. The objective function leverages a min–max robust optimization approach based on a three-scenario planning scheme inspired by Brazil’s Interbank Rate. We incorporate a machine learning approach based on CMARS to predict confidence intervals for the key stochastic model parameters, particularly those related to the real returns of Brazilian investment classes. The findings empower pension fund managers to formulate well-informed investment strategies. We highlight allocation strategies that can reduce contribution rates without jeopardizing fund solvency, even for managers with a more aggressive risk profile favoring higher stock market allocations. Additionally, the study is enriched by an empirical analysis using data from a Brazilian pension fund, demonstrating the model’s practical application. In short, this model offers valuable insights that can benefit a wide range of pension funds in the Brazilian market, and it could also be applied to similar situations globally.

Suggested Citation

  • Bernardino, Wilton & Falcão, Rodrigo & Jr., João & Ospina, Raydonal & de Souza, Filipe Costa & Correia, José Jonas Alves, 2025. "A study of asset and liability management applied to Brazilian pension funds," European Journal of Operational Research, Elsevier, vol. 322(3), pages 1059-1076.
  • Handle: RePEc:eee:ejores:v:322:y:2025:i:3:p:1059-1076
    DOI: 10.1016/j.ejor.2024.11.016
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    References listed on IDEAS

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    1. Betül Kalaycı & Ayşe Özmen & Gerhard-Wilhelm Weber, 2020. "Mutual relevance of investor sentiment and finance by modeling coupled stochastic systems with MARS," Annals of Operations Research, Springer, vol. 295(1), pages 183-206, December.
    2. Balter, Anne G. & Pelsser, Antoon, 2020. "Pricing and hedging in incomplete markets with model uncertainty," European Journal of Operational Research, Elsevier, vol. 282(3), pages 911-925.
    3. Wang, Ning & Zhang, Yumo, 2023. "Robust optimal asset-liability management with mispricing and stochastic factor market dynamics," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 251-273.
    4. Wang, Ning & Zhang, Yumo, 2024. "Robust asset-liability management games for n players under multivariate stochastic covariance models," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 67-98.
    5. Kouwenberg, Roy, 2001. "Scenario generation and stochastic programming models for asset liability management," European Journal of Operational Research, Elsevier, vol. 134(2), pages 279-292, October.
    6. Ghahtarani, Alireza & Saif, Ahmed & Ghasemi, Alireza, 2024. "Worst-case Conditional Value at Risk for asset liability management: A framework for general loss functions," European Journal of Operational Research, Elsevier, vol. 318(2), pages 500-519.
    7. J. G. Kallberg & R. W. White & W. T. Ziemba, 1982. "Short Term Financial Planning under Uncertainty," Management Science, INFORMS, vol. 28(6), pages 670-682, June.
    8. Guan, Guohui & Liang, Zongxia & Xia, Yi, 2023. "Optimal management of DC pension fund under the relative performance ratio and VaR constraint," European Journal of Operational Research, Elsevier, vol. 305(2), pages 868-886.
    9. Chul Jang & Andrew Clare & Iqbal Owadally, 2024. "Liability-driven investment for pension funds: stochastic optimization with real assets," Risk Management, Palgrave Macmillan, vol. 26(3), pages 1-32, September.
    10. Valladão, Davi M. & Veiga, Álvaro & Veiga, Geraldo, 2014. "A multistage linear stochastic programming model for optimal corporate debt management," European Journal of Operational Research, Elsevier, vol. 237(1), pages 303-311.
    11. Zenios, Stavros A. & Ziemba, William T. (ed.), 2007. "Handbook of Asset and Liability Management - Set," Elsevier Monographs, Elsevier, edition 1, number 9780444532480.
    12. Jinkyu Lee & Do-Gyun Kwon & Yongjae Lee & Jang Ho Kim & Woo Chang Kim, 2023. "Large-scale financial planning via a partially observable stochastic dual dynamic programming framework," Quantitative Finance, Taylor & Francis Journals, vol. 23(9), pages 1341-1360, September.
    13. Baltas, I. & Dopierala, L. & Kolodziejczyk, K. & Szczepański, M. & Weber, G.-W. & Yannacopoulos, A.N., 2022. "Optimal management of defined contribution pension funds under the effect of inflation, mortality and uncertainty," European Journal of Operational Research, Elsevier, vol. 298(3), pages 1162-1174.
    14. Sandro de Azambuja & Carlos Heitor Campani, 2022. "MAC: A Proposal for Consistent Actuarial Interest Rates in Pension Funds," RAC - Revista de Administração Contemporânea (Journal of Contemporary Administration), ANPAD - Associação Nacional de Pós-Graduação e Pesquisa em Administração, vol. 26(3), pages 200390-2003.
    15. Pagnoncelli, Bernardo K. & Homem-de-Mello, Tito & Lagos, Guido & Castañeda, Pablo & García, Javier, 2024. "Solving constrained consumption–investment problems by decomposition algorithms," European Journal of Operational Research, Elsevier, vol. 319(1), pages 292-302.
    16. Lorenzo Reus & Guillermo Alexander Sepúlveda-Hurtado, 2023. "Foreign exchange trading and management with the stochastic dual dynamic programming method," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-38, December.
    17. M. I. Kusy & W. T. Ziemba, 1986. "A Bank Asset and Liability Management Model," Operations Research, INFORMS, vol. 34(3), pages 356-376, June.
    18. Vijaya Dixit & Manoj Kumar Tiwari, 2020. "Project portfolio selection and scheduling optimization based on risk measure: a conditional value at risk approach," Annals of Operations Research, Springer, vol. 285(1), pages 9-33, February.
    19. Laleh Samarbakhsh & Meet Shah, 2021. "Fixed income mutual fund performance during and after a crisis: a Canadian case," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 45(4), pages 654-676, October.
    20. Lorenzo Reus & Rodolfo Prado, 2022. "Need to Meet Investment Goals? Track Synthetic Indexes with the SDDP Method," Computational Economics, Springer;Society for Computational Economics, vol. 60(1), pages 47-69, June.
    21. Bakker, Hannah & Dunke, Fabian & Nickel, Stefan, 2020. "A structuring review on multi-stage optimization under uncertainty: Aligning concepts from theory and practice," Omega, Elsevier, vol. 96(C).
    22. Duarte, Thiago B. & Valladão, Davi M. & Veiga, Álvaro, 2017. "Asset liability management for open pension schemes using multistage stochastic programming under Solvency-II-based regulatory constraints," Insurance: Mathematics and Economics, Elsevier, vol. 77(C), pages 177-188.
    23. Jan Obloj & Johannes Wiesel, 2021. "Distributionally robust portfolio maximisation and marginal utility pricing in one period financial markets," Papers 2105.00935, arXiv.org, revised Nov 2021.
    24. Jan Obłój & Johannes Wiesel, 2021. "Distributionally robust portfolio maximization and marginal utility pricing in one period financial markets," Mathematical Finance, Wiley Blackwell, vol. 31(4), pages 1454-1493, October.
    25. Xu Andy Sun & Antonio J. Conejo, 2021. "Robust Optimization in Electric Energy Systems," International Series in Operations Research and Management Science, Springer, number 978-3-030-85128-6, March.
    26. Davi Michel Valladão & Álvaro Veiga & Alexandre Street, 2018. "A Linear Stochastic Programming Model for Optimal Leveraged Portfolio Selection," Computational Economics, Springer;Society for Computational Economics, vol. 51(4), pages 1021-1032, April.
    27. Gaurang Sonkavde & Deepak Sudhakar Dharrao & Anupkumar M. Bongale & Sarika T. Deokate & Deepak Doreswamy & Subraya Krishna Bhat, 2023. "Forecasting Stock Market Prices Using Machine Learning and Deep Learning Models: A Systematic Review, Performance Analysis and Discussion of Implications," IJFS, MDPI, vol. 11(3), pages 1-22, July.
    28. Alper Çevik & Gerhard-Wilhelm Weber & B. Murat Eyüboğlu & Kader Karlı Oğuz, 2017. "Voxel-MARS: a method for early detection of Alzheimer’s disease by classification of structural brain MRI," Annals of Operations Research, Springer, vol. 258(1), pages 31-57, November.
    29. Marco Di Francesco & Roberta Simonella, 2023. "A stochastic Asset Liability Management model for life insurance companies," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 37(1), pages 61-94, March.
    30. Özmen, Ayşe & Yılmaz, Yavuz & Weber, Gerhard-Wilhelm, 2018. "Natural gas consumption forecast with MARS and CMARS models for residential users," Energy Economics, Elsevier, vol. 70(C), pages 357-381.
    31. Ciniro A. L. Nametala & Jonas Villela de Souza & Alexandre Pimenta & Eduardo Gontijo Carrano, 2023. "Use of Econometric Predictors and Artificial Neural Networks for the Construction of Stock Market Investment Bots," Computational Economics, Springer;Society for Computational Economics, vol. 61(2), pages 743-773, February.
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    Keywords

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    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • J32 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Nonwage Labor Costs and Benefits; Retirement Plans; Private Pensions
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • H75 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Government: Health, Education, and Welfare

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