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La cópula GED bivariada. Una aplicación en entornos de crisis

Author

Listed:
  • Mendoza, Alfonso.

    (Universidad Popular Autónoma del Estado de Puebla.)

  • Galvanovskis, Evalds.

    (Instituto Nacional de Estadística y Geografía.)

Abstract

The General Error Distribution (GED) has been extensively used in time series econometrics applications, due to its great flexibility in the estimation of financial stylized facts. However, there has been no attempt to employ this statistical distribution in the construction of copulas. Copulas are probability functions that link one multivariate distribution to univariate distribution functions called marginals. These marginals are continuous and follow a uniform behavior within [0,1]. In this paper we introduce the bivariate GED copula to investigate financial contagion in Latinamerica during the 2008 crisis. We examine contagion in foreign exchange, equity, bonds and sovereign markets in Latinamerica. Standard decision criteria provide strong evidence in favor of the GED copula, against other widely used elliptical and arquimidean alternatives.// Mientras que la distribución de error general (GED) ha sido usada extensamente en aplicaciones de series de tiempo y ha demostrado una gran flexibilidad en la estimación de series de tiempo financieras, no se ha intentado utilizarla en la construcción de cópulas. Las cópulas son funciones de probabilidad que unen una función de distribución multivariada a funciones de distribución univariadas llamadas marginales. Se parte del supuesto de que las marginales son continuas y uniformes en el intervalo [0,1]. En este artículo proponemos la cópula GED bivariada, la cual, de acuerdo con nuestra revisión, no ha sido usada en la bibliografía. Esta función abarca otras funciones de distribución, como la gausiana o la doble exponencial, empleadas frecuentemente en el análisis de fenómenos financieros. Con el fin de probar el desempeño de esta nueva cópula investigamos el contagio financiero en la crisis de 2008 empleando tipos de cambio, acciones, bonos y mercados de deuda soberana en América Latina. Los criterios usuales de decisión proveen fuerte evidencia a favor de la cópula GED sobre otras alternativas elípticas o arquimideanas.

Suggested Citation

  • Mendoza, Alfonso. & Galvanovskis, Evalds., 2014. "La cópula GED bivariada. Una aplicación en entornos de crisis," El Trimestre Económico, Fondo de Cultura Económica, vol. 0(323), pages .721-746, julio-sep.
    • Handle: RePEc:elt:journl:v:81:y:2014:i:323:p:721-746
    DOI: http://dx.doi.org/10.20430/ete.v81i323.128
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    References listed on IDEAS

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    More about this item

    Keywords

    distribución GED; cópula; distribución bivariada; contagio; mercados financieros; GARCH.;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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