Practitioners and academics have spent the past few decades debating the validity and relevance of the capital asset pricing model (CAPM). One of the attributes of the model is an estimate of risk by beta, which in equilibrium describe the behavior of mean-variance (MV) investors. In the MV...

This chapter presents an empirical application of Bayesian MCMC estimation to the three main asset pricing models in use in the financial econometrics literature, namely, the Capital Asset Pricing Model (CAPM), the Fama-French (1992) three-factor model, and the Carhart (1997) four-factor model...

This paper uses a multivariate GARCH model to account for time variation in factor loadings and idiosyncratic risk in improving the performance of the CAPM and the three-factor Fama-French model. I show how to incorporate time variation in betas and the second moments of the residuals in a very...

In this article, I propose an extension of the Treynor-Black model to a case where the investor is not fully invested in the stock market at the outset and there is no need to explicitly specify securities' expected returns. I derive explicit tangent portfolio weights based on a factor model of...