Abstract

This papers examines the joint dynamics of a system of asset returns. I describe and implement a multivariate factor stochastic volatility (MVFSV) model. I follow closely the work of Doz and Renault (2006), with two important changes. First, I design a sequential testing procedure to determine the dimensions of the appropriate factor structure needed to accommodate the conditional heteroscedasticity among a system of returns. Second, I employ a form of Tikhonov Regularization in order to overcome a near singularity among the moment conditions used for estimation. Simulation studies suggest that the MVFSV model is able to recover accurately the latent factors that drive the conditional volatility of returns. Moreover, the model estimates can be used to construct conditionally homoscedastic portfolios as linear combinations of the conditionally heteroscedastic assets. An empirical application to portfolios representing the twelve sectors of the U.S. economy

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