Ir al contenido

Documat


Estimación bayesiana del valor en riesgo: una aplicación para el mercado de valores colombiano

  • Autores: Charle Augusto Londoño Henao, Juan Carlos Correa Morales Árbol académico, Mauricio Lopera Castaño
  • Localización: Cuadernos de economía ( Santafé de Bogotá ), ISSN 0121-4772, Vol. 33, Nº. 63, 2014, págs. 635-678
  • Idioma: español
  • DOI: 10.15446/cuad.econ.v33n63.45351
  • Enlaces
  • Resumen
    • español

      Esta investigación tiene como propósito implementar la metodología de regresión cuantil bayesiana en el cálculo del valor en riesgo (VaR, en inglés) en el mercado de valores colombiano. Para este objetivo se valoran algunos requerimientos regulatorios sobre riesgo de mercado definidos por la Superintendencia Financiera de Colombia sobre metodologías, medidas de desempeño y factores de riesgo para el cálculo del VaR, y se compara con el modelo APARCH y de regresión cuantil tradicional;

      se halla que la regresión cuantil tiene una mejor capacidad para adaptarse a los patrones exhibidos por un portafolio de acciones colombianas dadas varias medidas de desempeño

    • English

      The purpose of this research is to implement the Bayesian quantile regression methodology in the estimation of the Value at Risk (VaR), in the Colombian stock market. For this objective, some regulatory requirements on market risk are compared using the APARCH model, and traditional quantile regressions. Colombia�s Financial Superintendence defines these requirements based on where they address methodologies, performance measures, and risk factors relevant to the calculation of the VaR. We found out that the latter technique has a greater capacity to adapt to the patterns exhibited by a portfolio of Colombian stock given several performance measures.

  • Referencias bibliográficas
    • Alexander, C. (2008). Market risk analysis. Value-at-risk models (vol. IV). England: John Wiley & Sons, Ltd.
    • Ali, A., Hwang, L. S., & Trombley, M. A. (2003). Arbitrage risk and book-to-market anomaly. Journal of Financial Economics, 69(2), 355-377.
    • Aristodemou, K., & Yu, K. (2008). CAViaR via bayesian noparametric quantile regression. In D. Barber, A. T. Cemgil, & S. Chiappa (eds)....
    • (BCBS) Basel Committee on Banking Supervision (1996). Supervisory framework for the use of "backtesting" in conjunction with the internal...
    • (BCBS) Basel Committee on Banking Supervision (2010). Basel III: International framework for measurement, standardization and monitoring of...
    • Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31, 307-327.
    • Cai, Z., & Wang, X. (2008). Nonparametric estimation of conditional VaR and expected shortfall. Journal of Econometrics, 147(1), 120-130.
    • Cao, Q., Leggio, K. B., & Schniederjans, M. J. (2005). A comparison between Fama and French's model and artificial neural networks...
    • Chernozhukov, V., & Hong, H. (2003). An MCMC approach to classical estimation. Journal of Econometrics, 115(2), 293-346.
    • Chernozhukov, V., & Umantsev, L. (2001). Conditional value-at-risk: Aspects of modeling and estimation. Empirical Economics, 26(1), 271-292.
    • Clements, M. P., & Taylor, N. (2003). Evaluating interval forecasts of high- frequency financial data. Journal of Applied Econometrics,...
    • Connor, G., & Linton, O. (2007). Semiparametric estimation of a characteristic-based factor model of common stock returns. Journal of...
    • Cristoffersen, P. F. (1998). Evaluating interval forecasts. International Economic Review, 39(4), 841-862.
    • Diagne, M. (2002). Final risk management and portfolio optimization using artificial neural networks and extreme value theory. Tesis para...
    • Ding, Z., Granger, C., & Engle, R. (1993). A long memory property of stock market returns and a new model. Journal of Empirical Finance,...
    • Engle, R. F., & Manganelli, S. (1999). CAViaR: Conditional autoregressive value at risk by regression quantiles. NBER Working Paper Series...
    • Engle, R. F., & Manganelli, S. (2001). Value at risk models in finance. Working Paper Series (75), European Central Bank.
    • Engle, R. F., & Manganelli, S. (2004). CAViaR: Conditional autoregressive value at risk by regression quantiles. Journal of Business &...
    • Fama, E., & French, K. R. (1992). The cross-section of expected stock returns. The Journal of Finance, 47(2), 427-465.
    • Fama, E., & French, K. R. (1993). Common risk factors in the returns on stock and bond. Journal of Financial Economics, 33(1), 3-56.
    • Fama, E., & French, K. R. (1996a). Multifactor explanations of asset pricing anomalies. The Journal of Finance, 51(1), 55-84.
    • Fama, E., & French, K. R. (1996b). The CAPM is wanted, dead or alive. The Journal of Finance, 51(5), 1947-1958.
    • Fama, E., & French, K. R. (1998). Value versus growth: The international evidence. The Journal of Finance, 53(6), 1975-1999.
    • Fedor, M. (2010). Financial risk in pension funds: Application of value at risk methodology (Chapter 9). In M. Micicci, G. N. Gregoriou, &...
    • Gaglianone, W. P., Lima, L. R., Linton, O., & Smith, D. R. (2011). Evaluating value-at-risk models via quantile regression. Journal of...
    • Gallón, S. y Gómez, K. (2007). Distribución condicional de los retornos de la tasa de cambio colombiana: un ejercicio empírico a partir de...
    • Gelman, A., Carlin, J. B., Stern, H. S., & Rubin, D. B. (2004). Bayesian data analysis, Second Edition. New York: Chapman & Hall/CRC.
    • Geweke, J. (1992). Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments. In J. M. Bernardo, J. O....
    • Giot, P., & Laurent, S. (2003). Value-at-risk for long and short trading positions. Journal of Applied Econometrics, 18(6), 641-664.
    • Giraldo, N. (2005). Predicción de betas y VaR de portafolios de acciones mediante el filtro de Kalman y los modelos GARCH. Cuadernos de Administración,...
    • Jackman, S. (2009). Bayesian analysis for the social sciences. United Kingdom: John Wiley & Sons, Ltd.
    • Kavussanos, M. G., & Dimitrakopoulos, D. N. (2011). Market risk model selection and medium-term risk with limited data: Application to...
    • Koenker, R., & Bassett, G. (1978). Regression quantiles. Econometrica, 46(1), 33-50.
    • Leiton, K. J. (2011). Validez del supuesto de neutralidad del horizonte de tiempo en el CAPM y la metodología del rango reescalado: aplicación...
    • Lewellen, J. (1999). The time-series relations among expected return, risk, and book-to-market. Journal of Financial Economics, 54(1), 5-43.
    • Londoño, C. A. (2011). Regresión del cuantil aplicada al modelo de redes neuronales. Una aproximación de la estructura CAViaR para el mercado...
    • Londoño, C. A. y Cuan, Y. M. (2011). Modelos de precios de los activos: un ejercicio comparativo basado en redes neuronales aplicado al mercado...
    • Lucas, A. (2001). Evaluating the Basle guidelines for backtesting banks internal risk management models. Journal of Money, Credit and Banking,...
    • McNeil, A. J., & Frey, R. (2000). Estimation of tail-related risk measures for heteroscedastic financial time series: An extreme value...
    • Melo, L. F. y Granados, J. C. (2011). Regulación y valor en riesgo. Revista Ensayos sobre Política Económica, 29(64), 110-177.
    • Pritsker, M. (2006). The hidden dangers of historical simulation. Journal of Banking & Finance, 30(2), 561-582.
    • R Development Core Team (2012). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria....
    • Ross, S. (1976). The arbitrage theory of capital asset pricing. Journal of Economic Theory, 13(3), 341-353.
    • Samaniego, F. J. (2010). A comparison of the bayesian and frequentist approaches to estimation. New York: Springer Series in Statistics.
    • Sharpe, W. (1964). Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3), 425-442.
    • (SFC) Superintendencia Financiera de Colombia (2007). Circular Externa 051 de 2007.
    • Taddy, M. A., & Kottas, A. (2010). A bayesian noparametric approach to inference for quantile regression. Journal of Business & Economic...
    • Tai, C.-S. (2003). Are Fama-French and momentum factors really priced? Journal of Multinational Financial Management, 13(4-5), 359-384.
    • Taylor, J. W. (2005). Generating volatility forecasts from value at risk estimate. Management Science, 51(5), 712-725.
    • Wang, X., & Song, X. (2008). Indirect TARCH-CAViaR model and its parameter estimation by MCMC method with an application. Systems Engineering-Theory...
    • Wu, X. (2002). A conditional multifactor analysis of return momentum. Journal of Banking & Finance, 26(8), 1675-1696.
    • Yu, K., & Moyeed, R. A. (2001). Bayesian quantile regression. Statistics & Probability Letters, 54(4), 437-447.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno