Portfolio theories are meant to provide a method for managing assets and constructing portfolios. Meanwhile, the mean-variance technique has been heavily criticized by some academics, and its application to real estate portfolio is questionable (Cheng and Liang, 2000). Indeed, the mean-variance...

This work focuses on modeling the dynamics of volatilities and correlations between financial assets returns. After a literature review of univariate and multivariate GARCH-type models, the author establishes results for the existence and uniqueness of stationary solutions of dynamic...