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Robust estimation of systematic risk using the t distribution in the chilean stock markets

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  • David Cademartori
  • Cecilia Romo
  • Ricardo Campos
  • Manuel Galea
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    Abstract

    This article deals with the estimate of the systematic risk of a share, assuming that returns follow an independent t distribution. In order to analyse the sensibility to possible outliers and/or atypical returns of the maximum likelihood estimator of the systematic risk, the local influence method was implemented. The results are illustrated by using a set of shares of companies belonging to the Chilean stock market. The main conclusion is that the t model with small degrees of freedom is able to incorporate possible outliers and influential returns in the data.

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    File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/1350485032000082018A&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
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    Bibliographic Info

    Article provided by Taylor & Francis Journals in its journal Applied Economics Letters.

    Volume (Year): 10 (2003)
    Issue (Month): 7 ()
    Pages: 447-453

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    Handle: RePEc:taf:apeclt:v:10:y:2003:i:7:p:447-453

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    1. Fernández, C. & Steel, M.F.J., 1997. "Multivariate Student -t Regression Models: Pitfalls and Inference," Discussion Paper 1997-08, Tilburg University, Center for Economic Research.
    2. Chan, Louis K. C. & Lakonishok, Josef, 1992. "Robust Measurement of Beta Risk," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(02), pages 265-282, June.
    3. Berkane, Maia & Kano, Yutaka & Bentler, Peter M., 1994. "Pseudo maximum likelihood estimation in elliptical theory: Effects of misspecification," Computational Statistics & Data Analysis, Elsevier, vol. 18(2), pages 255-267, September.
    4. Taylor, Jeremy M. G., 1992. "Properties of modelling the error distribution with an extra shape parameter," Computational Statistics & Data Analysis, Elsevier, vol. 13(1), pages 33-46, January.
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