We propose new asymmetric multivariate volatility models. The models exploit estimates of variances and covariances based on the signs of high-frequency returns, measures known as realized semivariances, semicovariances, and semicorrelations, to allow for more nuanced responses to positive and negative return shocks than threshold “leverage effect” terms traditionally used in the literature. Our empirical implementations of the new models, including extensions of widely-used bivariate GARCH specifications for a number of individual stocks and the aggregate market portfolio as well as larger dimensional dynamic conditional correlation type formulations for a cross-section of individual stocks, provide clear evidence of improved model fit and reveal new and interesting asymmetric joint dynamic dependencies.

Additional Metadata
Keywords Asymmetric dependence, High-frequency data, Realized correlation, Realized volatility, Semivariance
Persistent URL dx.doi.org/10.1016/j.jeconom.2019.12.011, hdl.handle.net/1765/124126
Journal Journal of Econometrics
Citation
Bollerslev, T, Patton, A.J, & Quaedvlieg, R. (2020). Multivariate leverage effects and realized semicovariance GARCH models. Journal of Econometrics. doi:10.1016/j.jeconom.2019.12.011