The paper considers the return and range model with dynamic conditional correlations (DCC). The paper suggests the new speci cations for the asymmetric effects on log-volatilities and dynamic correlations, combined with long-run dependences. The new DCC model can be estimated by the...

The paper develops a novel realized matrix-exponential stochastic volatility model of multivariate returns and realized covariances that incorporates asymmetry and long memory (hereafter the RMESV-ALM model). The matrix exponential transformation guarantees the positivedefiniteness of the...