Calibración de parámetros de los modelos de tasas de interés NS y NSS para Colombia: una nota técnica
Keywords:
Incremental search, Calibration, Sovereign yield curve, Differential evolution, Metaheuristic, Nelson-Siegel-SvenssonAbstract
Calibration of the Nelson-Siegel (NS) model to adjust to sovereign yield curves has been found to be problematic since the model exhibits a correlation between its factors, and generates objective functions with local multiple optima. These problems are often disregarded in the Colombian market, enough importance is not being given to the calibration process. This study aims to evaluate two non-gradient based methods for solving the non-linear least squares problem: the differential evolution metaheuristic and an incremental search procedure on the non-linear parameters. Comparisons of the results are made in terms of the achieved fit, consistency (for the metaheuristic) and the shapes obtained for the curves. The same procedure is carried out on the Nelson-Siegel-Svensson (NSS) model, evaluating the advisability of its use in the local market.
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References
Arango, L. E., Melo, L. F. y Vásquez, D. M. (2002). Estimación de la estructura a plazo de las tasas de interés en Colombia. Borradores de economía, 196.
Bolsa de Valores de Colombia (BVC) (2014). Mercado en linea: mercado de renta fija. http://bvc.com.co/pps/tibco/portalbvc/Home/Mercados/enlinea/rentafija? action=dummy. Consulta realizada el 15 de octubre de 2014.
Gilli, M., Grobe, S. y Schumann, E. (2010). Calibrating the Nelson–Siegel–Svensson model. p. 31. COMISEF Working Papers.
Gilli, M., Maringer, D. y Schumann, E. (2011). Heuristic methods in a nutshell. en Numerical methods and optimization in finance. pp. 346–347.Waltham:Academic Press.
INFOVALMER. (2014). Proyecto de modificación integral del manual que contiene la metodología de valoración de renta fija. Boletín normativo, 014.
Leiton, K. J., Rassa, J. S. y Rojas, J. S. (2014). Mercado de Deuda Corporativa en Colombia. Borradores de Economía, 829.
Ministerio de Hacienda y Crédito Público (2014). información histórica deuda bruta gnc junio 2014. Recuperado de: http://www.minhacienda.gov.co/ homeminhacienda/creditoydeudapublicos/deuda, el 27 de julio de 2014.
Nelson, C. R. y Siegel, A. F.(1987). Parsimonious Modeling of Yield Curves. The Journal of Business, 60(4), 473–489. http://dx.doi.org/10.2307/2352957
Superintendencia Financiera de Colombia. Resolución 0083 de 2008. (2008, enero 21). Recuperado de: https://www.superfinanciera.gov.co/jsp/loader. jsf?lServicio=Publicaciones&lTipo=publicaciones&lFuncion=loadContenido
Publicacion&id=20075&reAncha=1, el 16 de septiembre de 2014.
Svensson, L. E. O. (1994). Estimating and Interpreting Forward Interest Rates: Sweden 1992-4., 1051
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