TITLE:
Bayesian Diagnostic Checking of the Capital Asset Pricing Model
AUTHORS:
Jun Li, Shaun S. Wulff
KEYWORDS:
Finance Model, Model Expansion, Linear Regression, Normality, Outlier, Residual
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.2,
February
8,
2018
ABSTRACT: The capital asset pricing model (CAPM) is a commonly used regression model in finance to model stock returns. Bayesian methods have been developed for the CAPM to account for market fluctuations within the industry. However, a Bayesian model checking procedure is needed to assess the CAPM in terms of the usual regression model assumptions of independence, homogeneity of variance, and normality. This paper develops Bayesian residuals and Bayesian p-values to check these model assumptions as well as to suggest model extensions to the CAPM.