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.

Robustness, capital asset pricing model, maximum likelihood estimators, modified maximum likelihood estimators, student t family
Econometric and Statistical Methods: General (jel C1), Econometric Methods: Single Equation Models; Single Variables (jel C2), General Financial Markets (jel G1)
Erasmus School of Economics
Econometric Institute Research Papers
Report / Econometric Institute, Erasmus University Rotterdam
Erasmus School of Economics

Bian, G, McAleer, M.J, & Wong, W.-K. (2010). Robust Estimation and Forecasting of the Capital Asset Pricing Model. Report / Econometric Institute, Erasmus University Rotterdam (pp. 1–24). Erasmus School of Economics. Retrieved from