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Una aproximación a la dinámica de las tasas de interés de corto plazo en Colombia a través de modelos GARCH multivariados

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  • Luis Fernando Melo Velandia
  • Oscar Reinaldo Becerra Camargo

Abstract

Este documento estudia una parte relevante del mecanismo de transmisión de la política monetaria asociado con el crédito bancario. Con tal objeto se estima un modelo VARXGARCH multivariado para establecer la relación, en frecuencia diaria, entre dos tasas de interés de corto plazo, la CDT y la TIB y una de las tasas de intervención del Banco de la República, la tasa de subasta de expansión, SEXP, en el periodo enero de 2001 - septiembre de 2005. Este tipo de modelos tiene la ventaja de que no solo incorpora las interacciones entre los niveles (o variaciones) de estas series, si no que también modela las relaciones entre las volatilidades de las variables endógenas del modelo. Posteriormente, se realizan análisis de impulso respuesta en niveles (IRF y MA) y en volatilidades (VIRF). En niveles, se encuentra que la variable que más responde a choques sobre variables endógenas y exógenas del modelo, es la TIB. La respuesta de la tasa CDT ante un choque de 100 puntos básicos (p.b.) en SEXP oscila alrededor de 7 p.b., mientras que la respuesta de la TIB ante ese mismo choque es inicialmente de 68 p.b. y finalmente se estabiliza en 38 p.b.. Sin embargo, cuando se consideran muestras más recientes el efecto de SEXP sobre la TIB aumenta, lo cual indica una relación más estrecha entre los instrumentos de política y la meta operativa del BR. Para la muestra 2003-2005 la respuesta de la TIB a un choque en SEXP es inicialmente de 82 p.b. y converge a 56 p.b. Analizando los efectos cruzados, se observa que la respuesta de la TIB ante choques en la CDT es casi nula, mientras la CDT responde de manera significativa a choques en la TIB. Es así, como un aumento de 100 p.b. en la TIB incrementa aproximadamente 8.5 p.b. la tasa CDT. Todos estos efectos son permanentes. El análisis VIRF es realizado para diferentes tipos de choques. Sin embargo, los resultados muestran que no existen patrones claramente diferenciables para los distintos tipos de choques analizados. Esto indica que con respecto a otros tipos de choques, los que realiza el Banco Central a través de cambios en la tasa de subasta de expansión no afectan de manera diferente las volatilidades de las series. También se encuentra que en términos de volatilidad la variable que presenta una mayor respuesta ante diferentes choques al igual que en choques en niveles es la TIB, con un efecto aproximado de tres meses. Adicionalmente, al comparar los efectos sobre la volatilidad de la TIB con los de la CDT, se observa que aunque la magnitud de respuesta de la volatilidad de la tasa CDT es menor, su persistencia es más alta.

Suggested Citation

  • Luis Fernando Melo Velandia & Oscar Reinaldo Becerra Camargo, 2006. "Una aproximación a la dinámica de las tasas de interés de corto plazo en Colombia a través de modelos GARCH multivariados," Borradores de Economia 366, Banco de la Republica de Colombia.
  • Handle: RePEc:bdr:borrec:366
    DOI: 10.32468/be.366
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    1. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-131, February.
    2. Engle, Robert F. & Kroner, Kenneth F., 1995. "Multivariate Simultaneous Generalized ARCH," Econometric Theory, Cambridge University Press, vol. 11(1), pages 122-150, February.
    3. Carlos A. Huertas & Munir Jalil & Sergio Olarte & José Vicente Romero, 2005. "Algunas Consideraciones Sobre El Canal Del Crédito Y La Transmisión De Tasas De Interés En Colombia," Borradores de Economia 1962, Banco de la Republica.
    4. HAFNER, Christian & HERWARTZ, Helmut, 1998. "Volatility impulse response functions for multivariate GARCH models," LIDAM Discussion Papers CORE 1998047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    6. Luc Bauwens & Sébastien Laurent & Jeroen V. K. Rombouts, 2006. "Multivariate GARCH models: a survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 79-109, January.
    7. Bollerslev, Tim & Engle, Robert F. & Nelson, Daniel B., 1986. "Arch models," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 49, pages 2959-3038, Elsevier.
    8. Javier Gómez & José Darío Uribe & Hernando Vargas, 2002. "The Implementation Of Inflation Targeting In Colombia," Borradores de Economia 3603, Banco de la Republica.
    9. Bollerslev, Tim, 1990. "Modelling the Coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH Model," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 498-505, August.
    10. Frederic S. Mishkin, 1996. "The Channels of Monetary Transmission: Lessons for Monetary Policy," NBER Working Papers 5464, National Bureau of Economic Research, Inc.
    11. Frederic S. Mishkin, 2001. "The Transmission Mechanism and the Role of Asset Prices in Monetary Policy," NBER Working Papers 8617, National Bureau of Economic Research, Inc.
    12. repec:cup:etheor:v:11:y:1995:i:1:p:122-50 is not listed on IDEAS
    13. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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    Cited by:

    1. Carolina Ortega Londono & Diego Restrepo, 2018. "Transmission of Monetary Policy and Bank Heterogeneity in Colombia," Documentos de Trabajo de Valor Público 16987, Universidad EAFIT.
    2. Rhenals M., Remberto & Saldarriaga, Juan Pablo, 2008. "Una regla de Taylor óptima para Colombia, 1991-2006," Revista Lecturas de Economía, Universidad de Antioquia, CIE, November.
    3. Luis Eduardo Arango & Andrés González & John Jairo León & Luis Fernando Melo., 2008. "Cambios de la Tasa de Política y su Efecto en la Estructura a Plazo de Colombia," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 45(132), pages 257-291.
    4. Carolina Ortega Londono, 2018. "Transmission of Monetary Policy and Bank Heterogeneity in Colombia," Documentos de Trabajo de Valor Público 16792, Universidad EAFIT.
    5. Remberto Rhenals & Juan Pablo Saldarriaga, 2008. "An Optimal Taylor Rule for Colombia, 1991-2006," Lecturas de Economía, Universidad de Antioquia, Departamento de Economía, issue 69, pages 9-39, Julio-Dic.
    6. Jorge Enrique Restrepo Londono, 1998. "Reglas monetarias en una economía pequena y abierta," Revista ESPE - Ensayos Sobre Política Económica, Banco de la República, vol. 17(33), pages 61-84, July.

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    More about this item

    Keywords

    Modelos VARX; modelos GARCH multivariados; función de impulso respuesta en varianza (VIRF).;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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