@article{Multivariate:1419, recid = {1419}, author = {Bauer, Gregory and Vorkink, Keith}, title = {Multivariate Realized Stock Market Volatility}, publisher = {Bank of Canada}, address = {2007}, pages = {1 online resource (iii, 41 pages plus tables)}, abstract = {We present a new matrix-logarithm model of the realized covariance matrix of stock returns. The model uses latent factors which are functions of both lagged volatility and returns. The model has several advantages: it is parsimonious; it does not require imposing parameter restrictions; and, it results in a positive-definite covariance matrix. We apply the model to the covariance matrix of size-sorted stock returns and find that two factors are sufficient to capture most of the dynamics. We also introduce a new method to track an index using our model of the realized volatility covariance matrix.}, url = {http://www.oar-rao.bank-banque-canada.ca/record/1419}, doi = {https://doi.org/10.34989/swp-2007-20}, }