Estimating Portfolio Value at Risk with GARCH and MGARCH models

María Isabel Restrepo E. ()

Perfil de Coyuntura Económica, 2012, issue 19, 77-92

Abstract: Abstract: The aim of this paper is to estimate GARCH models, univariate and multivariate, for the daily returns of a portfolio consisting of five Colombian financial market assets, in order to evaluate which shows better performance in estimating the Value at Risk of the portfolio. To calculate VaR, with a confidence level of 95%, equal weight is assigned to the assets in the portfolio. The results show that the univariate GARCH models outperform the MGARCH in estimating the VaR of the portfolio. Resumen: El objetivo de este artículo es estimar algunos modelos GARCH, univariados y multivariados, para los retornos diarios de un portafolio compuesto por cinco activos del mercado financiero colombiano, con el fin de evaluar cual muestra mejor desempeno en el cálculo del Valor en Riesgo del portafolio. Para calcular el VaR, con un nivel de confianza del 95%, se le asigna igual peso a los activos en el portafolio. Los resultados muestran que los modelos GARCH univariados tienen mejor desempeno que los MGARCH en la estimación del VaR del portafolio.

Keywords: Modelos GARCH; Modelos MGARCH; Valor en Riesgo (search for similar items in EconPapers)
JEL-codes: C22 G11 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:col:000165:014799

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