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Un modelo Tgarch con una distribución t de student asimétrica y las hipótesis de racionalidad de los inversionistas bursátiles en Latinoamérica

Author

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  • Arturo Lorenzo Valdés

    (Universidad de las Américas)

  • Antonio Ruiz Porras

    (Universidad de Guadalajara)

Abstract

Proponemos un modelo ARCH de tipo TGARCH con una distribución t de Student asimétrica. El mismo se construye usando la metodología de Fernández y Steel (1998) y el modelo TGARCH tradicional desarrollado por Zakoian (1994). El modelo se usa para describir series de rendimientos bursátiles y para evaluar la validez de las hipótesis de racionalidad en Latinoamérica. Los resultados sugieren que:1) Las series de rendimientos analizadas pueden describirse adecuadamente con el modelo propuesto; 2) la hipótesis de racionalidad de Samuelson es consistente con la evidencia de los mercados de Argentina, Brasil, Chile, Colombia y México;3) la hipótesis tradicional de racionalidad es consistente con la evidencia de Perú; y 4) las volatilidades estimadas mediante el modelo propuesto son mayores que las estimadas mediante el modelo TGARCH tradicional durante el periodo 2008-2009.

Suggested Citation

  • 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.
  • Handle: RePEc:cun:journl:v:19:y:2014:p:66-97
    DOI: 10.25097/rep.n19.2014.03
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    1. M. S. Feldstein, 1969. "Mean-Variance Analysis in the Theory of Liquidity Preference and Portfolio Selection," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(1), pages 5-12.
    2. Chunhachinda, Pornchai & Dandapani, Krishnan & Hamid, Shahid & Prakash, Arun J., 1997. "Portfolio selection and skewness: Evidence from international stock markets," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 143-167, February.
    3. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    4. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    5. 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.
    6. Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 83-106, June.
    7. Robert Engle, 2004. "Risk and Volatility: Econometric Models and Financial Practice," American Economic Review, American Economic Association, vol. 94(3), pages 405-420, June.
    8. K. Borch, 1969. "A Note on Uncertainty and Indifference Curves," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(1), pages 1-4.
    9. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    10. 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.
    11. 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.
    12. Claudio Bonilla & Jean Sepulveda, 2011. "Stock returns in emerging markets and the use of GARCH models," Applied Economics Letters, Taylor & Francis Journals, vol. 18(14), pages 1321-1325.
    13. 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, Decembrie.
    14. Harvey, Campbell R. & Siddique, Akhtar, 1999. "Autoregressive Conditional Skewness," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(4), pages 465-487, December.
    15. Johnson, Christian A. & Soriano, Fabián A., 2004. "Volatilidad del mercado accionario y la crisis asiática. Evidencia internacional de asimetrías," El Trimestre Económico, Fondo de Cultura Económica, vol. 0(282), pages 355-388, abril-jun.
    16. Canela, Miguel Angel & Collazo, Eduardo Pedreira, 2007. "Portfolio selection with skewness in emerging market industries," Emerging Markets Review, Elsevier, vol. 8(3), pages 230-250, September.
    17. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(4), pages 537-542.
    18. Arditti, Fred D & Levy, Haim, 1975. "Portfolio Efficiency Analysis in Three Moments: The Multiperiod Case," Journal of Finance, American Finance Association, vol. 30(3), pages 797-809, June.
    19. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, June.
    20. Zakoian, Jean-Michel, 1994. "Threshold heteroskedastic models," Journal of Economic Dynamics and Control, Elsevier, vol. 18(5), pages 931-955, September.
    21. Jean, William H., 1971. "The Extension of Portfolio Analysis to Three or More Parameters," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 6(1), pages 505-515, January.
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    More about this item

    Keywords

    Distribución de Densidad; t de Student Asimétrica; TGARCH; Rendimientos Bursátiles; Latinoamérica.;
    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
    • F30 - International Economics - - International Finance - - - General
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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