The literature on multivariate stochastic volatility (MSV) models has developed significantly over the last few years. This paper reviews the substantial literature on specification, estimation, and evaluation of MSV models. A wide range of MSV models is presented according to various...

The paper develops the structure of parsimonious portfolio single index (PSI) multivariate conditional and stochastic constant correlation volatility models, and methods for estimating the underlying parameters. These multivariate estimates of volatility can be used for more accurate portfolio...