IDEAS home Printed from https://ideas.repec.org/p/bbv/wpaper/1029.html
   My bibliography  Save this paper

Simulations of long-term returns and replacement rates in the Colombian pension system

Author

Listed:
  • Javier Alonso
  • Carlos Herrera
  • Claudia Llanes Valenzuela
  • David Tuesta

Abstract

This study is a theoretical exercise for Colombia that aims to simulate a variety of scenarios under a hypothetical scheme similar to the multi-funds currently in operation in Chile, Mexico and Peru. This has been done by modeling the future movement of asset prices that are considered to be representative of equity and fixed-income using the Monte Carlo method. After making the simulations we have constructed alternative investment portfolios according to the chosen combination of equity and fixed-income, and compared and assessed them in terms of their risk-return ratio. The study emphasizes the fundamental importance of adequate contribution densities for obtaining sufficient income for old age, and the relevance of high returns, with adequate risk limitation. Another of the study’s aims is to use the new multi-fund scheme defined for Colombia as a basis for the hypotheses of different scenarios projected to 2050. These will include the composition of members’ pension fund portfolios and changes in the scheme over time, taking as a reference the life-cycle scheme operated in Mexico, as well as other compositions and profiles that participants may decide to enter into in accordance with their choice and the limits set by regulations. The results of the work confirm what has been found in other studies on the subject for the Colombian economy: that the implementation of a multi-fund system will provide pension-fund members with efficient returns in the long term, with limited volatility over time.

Suggested Citation

  • Javier Alonso & Carlos Herrera & Claudia Llanes Valenzuela & David Tuesta, 2010. "Simulations of long-term returns and replacement rates in the Colombian pension system," Working Papers 1029, BBVA Bank, Economic Research Department.
  • Handle: RePEc:bbv:wpaper:1029
    as

    Download full text from publisher

    File URL: https://www.bbvaresearch.com/wp-content/uploads/migrados/WP_1029_tcm348-244401.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alejandro Reveiz & Carlos León & Juan Mario Laserna & Ivonne Martínez, 2008. "Recomendaciones para la modificación del régimen de pensiones obligatorias de Colombia," Revista ESPE - Ensayos sobre Política Económica, Banco de la Republica de Colombia, vol. 26(56), pages 78-113, June.
    2. Carlos Herrera, 2010. "Long-term returns and replacement rates in Mexico\\\'s pension system," Working Papers 1026, BBVA Bank, Economic Research Department.
    3. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    4. Alejandro Reveiz & Carlos León, 2008. "Administración de fondos de pensiones y multifondos en Colombia," Borradores de Economia 506, Banco de la Republica de Colombia.
    5. Diego Jara & Carolina Gómez & Andrés Pardo, 2005. "Análisis de eficiencia de los portafolio pensionales obligatorios en Colombia," Revista ESPE - Ensayos sobre Política Económica, Banco de la Republica de Colombia, vol. 23(49), pages 192-239, December.
    6. Alejandro Reveiz & Carlos León & Juan Mario Laserna & Ivonne Martínez, 2008. "Recomendaciones para la modificación del régimen de pensiones obligatorias de Colombia," Revista ESPE - Ensayos Sobre Política Económica, Banco de la República, vol. 26(56), pages 78-113, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alejandro Reveiz & Carlos León, 2010. "Efficient Portfolio Optimization in the Wealth Creation and Maximum Drawdown Space," Palgrave Macmillan Books, in: Arjan B. Berkelaar & Joachim Coche & Ken Nyholm (ed.), Interest Rate Models, Asset Allocation and Quantitative Techniques for Central Banks and Sovereign Wealth Funds, chapter 7, pages 134-157, Palgrave Macmillan.
    2. Carlos Alberto Soto Quintero & Alejandra Arboleda Bedoya & Juan Carlos Gutiérrez Betancur, 2012. "Trayectorias óptimas de inversión durante el ciclo de vida en un sistema de multifondos," Documentos de Trabajo de Valor Público 10713, Universidad EAFIT.
    3. repec:idb:brikps:365 is not listed on IDEAS
    4. Camilla LandÊn, 2000. "Bond pricing in a hidden Markov model of the short rate," Finance and Stochastics, Springer, vol. 4(4), pages 371-389.
    5. Álvarez Echeverría Francisco & López Sarabia Pablo & Venegas Martínez Francisco, 2012. "Valuación financiera de proyectos de inversión en nuevas tecnologías con opciones reales," Contaduría y Administración, Accounting and Management, vol. 57(3), pages 115-145, julio-sep.
    6. Alejandro Reveiz & Carlos León & Juan Mario Laserna & Ivonne Martínez, 2008. "Recomendaciones para la modificación del régimen de pensiones obligatorias de Colombia," Revista ESPE - Ensayos sobre Política Económica, Banco de la Republica de Colombia, vol. 26(56), pages 78-113, June.
    7. Matsumura, Marco & Moreira, Ajax & Vicente, José, 2011. "Forecasting the yield curve with linear factor models," International Review of Financial Analysis, Elsevier, vol. 20(5), pages 237-243.
    8. Lin, Bing-Huei, 1999. "Fitting the term structure of interest rates for Taiwanese government bonds," Journal of Multinational Financial Management, Elsevier, vol. 9(3-4), pages 331-352, November.
    9. Gollier, Christian, 2002. "Time Horizon and the Discount Rate," Journal of Economic Theory, Elsevier, vol. 107(2), pages 463-473, December.
    10. Robert R. Bliss & Ehud I. Ronn, 1997. "Callable U.S. Treasury bonds: optimal calls, anomalies, and implied volatilities," FRB Atlanta Working Paper 97-1, Federal Reserve Bank of Atlanta.
    11. Tucker, A. L. & Wei, J. Z., 1998. "Valuation of LIBOR-Contingent FX options," Journal of International Money and Finance, Elsevier, vol. 17(2), pages 249-277, April.
    12. Chuong Luong & Nikolai Dokuchaev, 2016. "Modeling Dependency Of Volatility On Sampling Frequency Via Delay Equations," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 1-21, June.
    13. Yang, Nian & Chen, Nan & Wan, Xiangwei, 2019. "A new delta expansion for multivariate diffusions via the Itô-Taylor expansion," Journal of Econometrics, Elsevier, vol. 209(2), pages 256-288.
    14. Kimmel, Robert L., 2004. "Modeling the term structure of interest rates: A new approach," Journal of Financial Economics, Elsevier, vol. 72(1), pages 143-183, April.
    15. Ben S. Bernanke & Vincent R. Reinhart & Brian P. Sack, 2004. "Monetary Policy Alternatives at the Zero Bound: An Empirical Assessment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(2), pages 1-100.
    16. Prakash Chakraborty & Kiseop Lee, 2022. "Bond Prices Under Information Asymmetry and a Short Rate with Instantaneous Feedback," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 613-634, June.
    17. Podolskij, Mark & Vetter, Mathias, 2009. "Bipower-type estimation in a noisy diffusion setting," Stochastic Processes and their Applications, Elsevier, vol. 119(9), pages 2803-2831, September.
    18. Peter Spencer, 2013. "Modeling US bank CDS spreads during the Global Financial Crisis with a deferred filtration pricing model," Discussion Papers 13/18, Department of Economics, University of York.
    19. Johanna Scheller & Jacques Pézier, 2008. "Optimal Investment Strategies and Performance Sharing Rules for Pension Schemes with Minimum Guarantee," ICMA Centre Discussion Papers in Finance icma-dp2008-09, Henley Business School, University of Reading, revised Oct 2009.
    20. Issler, João Victor, 1995. "Estimating the term structure of volatility and fixed income derivative pricing," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 272, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    21. Foad Shokrollahi & Marcin Marcin Magdziarz, 2020. "Equity warrant pricing under subdiffusive fractional Brownian motion of the short rate," Papers 2007.12228, arXiv.org, revised Nov 2020.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bbv:wpaper:1029. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: OSCAR DE LAS PENAS SANCHEZ-CARO (email available below). General contact details of provider: https://edirc.repec.org/data/ebbvaes.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.