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Robust Estimation and Forecasting of the Capital Asset Pricing Model

Author

Listed:
  • Bian, G.
  • McAleer, M.J.
  • Wong, W.-K.
Abstract
In this paper, we develop a modified maximum likelihood (MML) estimator for the multiple linear regression model with underlying student t distribution. We obtain the closed form of the estimators, derive the asymptotic properties, and demonstrate that the MML estimator is more appropriate for estimating the parameters of the Capital Asset Pricing Model by comparing its performance with least squares estimators (LSE) on the monthly returns of US portfolios. The empirical results reveal that the MML estimators are more efficient than LSE in terms of the relative efficiency of one-step-ahead forecast mean square error in small samples.

Suggested Citation

  • Bian, G. & McAleer, M.J. & Wong, W.-K., 2010. "Robust Estimation and Forecasting of the Capital Asset Pricing Model," Econometric Institute Research Papers EI 2010-62, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:21112
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    More about this item

    Keywords

    G1; capital asset pricing model; maximum likelihood estimators; modified maximum likelihood estimators; robustness; student t family;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables

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