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Análisis comparativo de las metodologías de estimación semiparamétricas y vía cópulas del Valor en Riesgo (VaR) en el mercado accionario colombiano

Author

Listed:
  • Miguel Antonio Alba Suárez

    (Universidad Santo Tomás, Colombia)

  • Wilmer Pineda-Ríos

    (Universidad Santo Tomás, Colombia)

  • Javier Deaza Chaves

    (Universidad Santo Tomás, Colombia)

Abstract

Este artículo de investigación ilustra distintos tipos de metodologías estadísticas con el objetivo de realizar una estimación adecuada para el valor en riesgo (VaR), implementando el uso de métodos semiparamétricos y una clase flexible de cópulas nombradas como (VineCopulas) encontrando que en las técnicas de estimación al incluir el manejo de los patrones complejos de dependencia no lineal en el modelamiento de los activos financieros, se logra explicar la volatilidad y los movimientos dinámicos del mercado. La flexibilidad de los modelos presentados con el uso de Cópulas y metodologías semiparamétricas como la quasiverosimilitud (QMLE) y teoría de valor extremo (EVT) permitió la adecuada estimación del VaR en el mercado de renta variable Colombiano.

Suggested Citation

  • Miguel Antonio Alba Suárez & Wilmer Pineda-Ríos & Javier Deaza Chaves, 2019. "Análisis comparativo de las metodologías de estimación semiparamétricas y vía cópulas del Valor en Riesgo (VaR) en el mercado accionario colombiano," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 14(2), pages 279-307, Abril-Jun.
    • Handle: RePEc:imx:journl:v:14:y:2019:i:2:p:279-307
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    References listed on IDEAS

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    1. Viviana Fernández, 2003. "Extreme Value Theory: Value at Risk and Returns Dependence Around the World," Documentos de Trabajo 161, Centro de Economía Aplicada, Universidad de Chile.
    2. Jianqing Fan & Lei Qi & Dacheng Xiu, 2014. "Quasi-Maximum Likelihood Estimation of GARCH Models With Heavy-Tailed Likelihoods," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 32(2), pages 178-191, April.
    3. Pamela Cardozo, 2004. "Valor En Riesgo De Los Activos Financieros Colombianos Aplicando La Teoría De Valor Extremo," Borradores de Economia 3743, Banco de la Republica.
    4. Pamela Cardozo, 2004. "Valor en Riesgo de los Activos Financieros Colombianos Aplicando la Teoría de Valor Extremo," Borradores de Economia 304, Banco de la Republica de Colombia.
    5. Jianqing Fan & Juan Gu, 2003. "Semiparametric estimation of Value at Risk," Econometrics Journal, Royal Economic Society, vol. 6(2), pages 261-290, December.
    6. Viviana Fernandez, 2003. "Extreme Value Theory and Value at Risk," Revista de Analisis Economico – Economic Analysis Review, Universidad Alberto Hurtado/School of Economics and Business, vol. 18(1), pages 57-85, June.
    7. Brechmann, Eike Christian & Schepsmeier, Ulf, 2013. "Modeling Dependence with C- and D-Vine Copulas: The R Package CDVine," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 52(i03).
    8. Carlo Acerbi & Dirk Tasche, 2002. "Expected Shortfall: A Natural Coherent Alternative to Value at Risk," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 31(2), pages 379-388, July.
    9. José Antonio Climent Hernández, 2017. "Portafolios de dispersión mínima con rendimientos log-estables," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 12(2), pages 49-69, Abril-Jun.
    10. Aleksey Min & Claudia Czado, 2010. "Bayesian Inference for Multivariate Copulas Using Pair-Copula Constructions," Journal of Financial Econometrics, Oxford University Press, vol. 8(4), pages 511-546, Fall.
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    More about this item

    Keywords

    Mercado accionario; EVT; QMLE; Semiparamétrico Valor en Riesgo; Vine Cópulas;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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