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Modelación de los rendimientos bursátiles mexicanos mediante los modelos TGARCH y EGARCH: Un estudio econométrico para 30 acciones y el Índice de Precios y Cotizaciones
[Modeling Mexican stock returns with TGARCH and EGARCH models: An econometric study for 30 stocks and the Stock Market Index]

Author

Listed:
  • Lorenzo-Valdes, Arturo
  • Ruiz-Porras, Antonio

Abstract

We develop a comparative study using the TARCH and EGARCH non-linear econometric models. We use them to describe Mexican stock market returns. We model daily series of returns for 30 stocks and the Stock Market Index (IPC) for the period between December 7, 2005 and August 1, 2011. Most of the series show leverage effects. The results also suggest that the AR(1)-EGARCH(1,1) model describes properly the aggregated returns of the stock market (measured by the IPC). They also show that the AR(1)-TGARCH(1,1) and AR(1)-EGARCH(1,1) models fit 19 and 11 stock return series, respectively. Finally, the results show that the return mean (variance) has decreased (increased) since August 2007.

Suggested Citation

  • Lorenzo-Valdes, Arturo & Ruiz-Porras, Antonio, 2011. "Modelación de los rendimientos bursátiles mexicanos mediante los modelos TGARCH y EGARCH: Un estudio econométrico para 30 acciones y el Índice de Precios y Cotizaciones [Modeling Mexican stock retu," MPRA Paper 36872, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:36872
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    References listed on IDEAS

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    1. Bárbara Trejo & José Antonio Núñez & Arturo Lorenzo, 2006. "Distribución de los rendimientos del mercado mexicano accionario," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 21(1), pages 85-98.
    2. Bollerslev, Tim & Russell, Jeffrey & Watson, Mark (ed.), 2010. "Volatility and Time Series Econometrics: Essays in Honor of Robert Engle," OUP Catalogue, Oxford University Press, number 9780199549498.
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    5. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    6. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    7. Luc Bauwens & Sébastien Laurent & Jeroen V. K. Rombouts, 2006. "Multivariate GARCH models: a survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 79-109, January.
    8. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    9. French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, vol. 19(1), pages 3-29, September.
    10. Duran-Vazquez, Rocio & Lorenzo-Valdes, Arturo & Ruiz-Porras, Antonio, 2011. "Valuación de acciones mexicanas mediante los modelos de Ohlson y Ohlson-Beta para firmas con ciclos de corto y largo plazos: Un análisis de cointegración [Valuation of Mexican stocks with the Olhso," MPRA Paper 33054, University Library of Munich, Germany.
    11. Ser-Huang Poon & Clive W.J. Granger, 2003. "Forecasting Volatility in Financial Markets: A Review," Journal of Economic Literature, American Economic Association, vol. 41(2), pages 478-539, June.
    12. Fritz Breuss, 2011. "Global financial crisis as a phenomenon of stock market overshooting," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 38(1), pages 131-152, February.
    13. Ruiz-Porras, Antonio, 2010. "Globalización, ciclos económicos y crisis global, 2007-2010 [Globalization, business cycles and global crisis, 2007-2010]," MPRA Paper 23183, University Library of Munich, Germany.
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    Cited by:

    1. Duran-Vazquez, Rocio & Lorenzo-Valdes, Arturo & Ruiz-Porras, Antonio, 2013. "Un modelo GARCH con asimetria condicional autorregresiva para modelar series de tiempo: Una aplicacion para los rendimientos del Indice de Precios y Cotizaciones de la BMV [A GARCH model with autor," MPRA Paper 46328, University Library of Munich, Germany.
    2. Arturo Lorenzo Valdés & Antonio Ruiz Porras, 2014. "Un modelo Tgarch con una distribución t de student asimétrica y las hipótesis de racionalidad de los inversionistas bursátiles en Latinoamérica," Archivos Revista Economía y Política., Facultad de Ciencias Económicas y Administrativas, Universidad de Cuenca., vol. 19, pages 66-97, Enero.
    3. Durán-Vázquez, Rocio & Lorenzo-Valdes, Arturo & Ruiz-Porras, Antonio, 2012. "Un modelo GARCH con asimetría condicional autorregresiva para modelar series de tiempo: Una aplicación para el Indice de Precios y Cotizaciones [A GARCH model with autorregresive conditional asymme," MPRA Paper 42548, University Library of Munich, Germany.

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    More about this item

    Keywords

    TGARCH; EGARCH; Stock returns; Mexico; non linearity;
    All these keywords.

    JEL classification:

    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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