IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/53019.html
   My bibliography  Save this paper

Un modelo TGARCH con una distribución t de Student asimétrica y las hipotesis de racionalidad de los inversionistas bursátiles en Latinoamérica
[A TGARCH model with an asymmetric Student´s t distribution and the rationality hypotheses of stock investors in Latin America]

Author

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

Abstract

We propose an ARCH model of the TGARCH type with an asymmetric Student's t distribution. It is built using the methodology of Fernandez and Steel (1998) and the traditional TGARCH model developed by Zakoian (1994). The model is used to describe series of stock market returns and to assess the validity of the rationality hypotheses in Latin America. The results suggest that: 1) The series can be described adequately with the proposed model; (2) the Samuelson´s rationality hypothesis is consistent with the evidence of the markets of Argentina, Brazil, Chile, Colombia and Mexico; 3) the traditional rationality hypothesis is consistent with the evidence of Peru; and (4) the volatility estimated with the proposed model are higher than those estimated with the traditional TGARCH model over the period 2008-2009.

Suggested Citation

  • Lorenzo-Valdes, Arturo & Ruiz-Porras, Antonio, 2014. "Un modelo TGARCH con una distribución t de Student asimétrica y las hipotesis de racionalidad de los inversionistas bursátiles en Latinoamérica
    [A TGARCH model with an asymmetric Student´s t distri
    ," MPRA Paper 53019, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:53019
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/53019/1/MPRA_paper_53019.pdf
    File Function: original version
    Download Restriction: no

    References listed on IDEAS

    as
    1. M. S. Feldstein, 1969. "Mean-Variance Analysis in the Theory of Liquidity Preference and Portfolio Selection," Review of Economic Studies, Oxford University Press, 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," Review of Economic Studies, Oxford University Press, 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," Review of Economic Studies, Oxford University Press, 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. Harvey, Campbell R. & Siddique, Akhtar, 1999. "Autoregressive Conditional Skewness," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(04), pages 465-487, December.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. Zakoian, Jean-Michel, 1994. "Threshold heteroskedastic models," Journal of Economic Dynamics and Control, Elsevier, vol. 18(5), pages 931-955, September.
    19. 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(01), pages 505-515, January.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Density Distribution; Asymmetric t-Student; TGARCH; Stock Market Returns; Latin America;

    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)

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:53019. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter). General contact details of provider: http://edirc.repec.org/data/vfmunde.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.