IDEAS home Printed from https://ideas.repec.org/a/imx/journl/v14y2019i2p279-307.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.remef.org.mx/index.php/remef/article/view/310
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Luis Fernando Melo Velandia & Oscar reinaldo Becerra Camargo, 2005. "Medidas de Riesgo, Características y Técnicas de Medición: Una Aplicación del VAR y el ES a la Tasa Interbancaria de Colombia," Borradores de Economia 343, Banco de la Republica de Colombia.
    2. Bassetti, Federico & De Giuli, Maria Elena & Nicolino, Enrica & Tarantola, Claudia, 2018. "Multivariate dependence analysis via tree copula models: An application to one-year forward energy contracts," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1107-1121.
    3. Qian Chen & David E. Giles & Hui Feng, 2012. "The extreme-value dependence between the Chinese and other international stock markets," Applied Financial Economics, Taylor & Francis Journals, vol. 22(14), pages 1147-1160, July.
    4. Kajal Lahiri & Liu Yang, 2023. "Predicting binary outcomes based on the pair-copula construction," Empirical Economics, Springer, vol. 64(6), pages 3089-3119, June.
    5. Koliai, Lyes, 2016. "Extreme risk modeling: An EVT–pair-copulas approach for financial stress tests," Journal of Banking & Finance, Elsevier, vol. 70(C), pages 1-22.
    6. Dalla Valle, Luciana & De Giuli, Maria Elena & Tarantola, Claudia & Manelli, Claudio, 2016. "Default probability estimation via pair copula constructions," European Journal of Operational Research, Elsevier, vol. 249(1), pages 298-311.
    7. Aktham I. Maghyereh & Haitham A. Al Zoubi & Haitham Nobanee, 2007. "Price Limit and Volatility in Taiwan Stock Exchange: Some Additional Evidence from the Extreme Value Approach," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 51-61.
    8. Eling, Martin & Jung, Kwangmin, 2018. "Copula approaches for modeling cross-sectional dependence of data breach losses," Insurance: Mathematics and Economics, Elsevier, vol. 82(C), pages 167-180.
    9. Marco Geidosch & Matthias Fischer, 2016. "Application of Vine Copulas to Credit Portfolio Risk Modeling," JRFM, MDPI, vol. 9(2), pages 1-15, June.
    10. Nieto, María Rosa, 2008. "Measuring financial risk : comparison of alternative procedures to estimate VaR and ES," DES - Working Papers. Statistics and Econometrics. WS ws087326, Universidad Carlos III de Madrid. Departamento de Estadística.
    11. Kwangmin Jung & Donggyu Kim & Seunghyeon Yu, 2022. "Next generation models for portfolio risk management: An approach using financial big data," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(3), pages 765-787, September.
    12. Hobæk Haff, Ingrid & Segers, Johan, 2015. "Nonparametric estimation of pair-copula constructions with the empirical pair-copula," Computational Statistics & Data Analysis, Elsevier, vol. 84(C), pages 1-13.
    13. Nieto, Maria Rosa & Ruiz, Esther, 2016. "Frontiers in VaR forecasting and backtesting," International Journal of Forecasting, Elsevier, vol. 32(2), pages 475-501.
    14. Tafakori, Laleh & Pourkhanali, Armin & Fard, Farzad Alavi, 2018. "Forecasting spikes in electricity return innovations," Energy, Elsevier, vol. 150(C), pages 508-526.
    15. Huihui Lin & N. Rao Chaganty, 2021. "Multivariate distributions of correlated binary variables generated by pair-copulas," Journal of Statistical Distributions and Applications, Springer, vol. 8(1), pages 1-14, December.
    16. Winter, Peter, 2007. "Managerial Risk Accounting and Control – A German perspective," MPRA Paper 8185, University Library of Munich, Germany.
    17. Giovanni Bonaccolto & Massimiliano Caporin & Sandra Paterlini, 2018. "Asset allocation strategies based on penalized quantile regression," Computational Management Science, Springer, vol. 15(1), pages 1-32, January.
    18. Hazem Krichene & Abhijit Chakraborty & Hiroyasu Inoue & Yoshi Fujiwara, 2017. "Business cycles’ correlation and systemic risk of the Japanese supplier-customer network," PLOS ONE, Public Library of Science, vol. 12(10), pages 1-22, October.
    19. Marco Rocco, 2011. "Extreme value theory for finance: a survey," Questioni di Economia e Finanza (Occasional Papers) 99, Bank of Italy, Economic Research and International Relations Area.
    20. Conrad, Christian & Mammen, Enno, 2016. "Asymptotics for parametric GARCH-in-Mean models," Journal of Econometrics, Elsevier, vol. 194(2), pages 319-329.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:imx:journl:v:14:y:2019:i:2:p:279-307. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ricardo Mendoza (email available below). General contact details of provider: https://www.remef.org.mx/index.php/remef/index .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.