industries. Previous literatures show that volatility of stock prices is informative; Granger causality is applied in this … volatility. The results indicate that causality of the volatility of the Utilities industry on the volatility of seven other …

We introduce the notion of relative volatility/intermittency and demonstrate how relative volatility statistics can be … used to estimate consistently the temporal variation of volatility/intermittency even when the data of interest are … Ito semimartingales and discuss how it can be used for inference on relative volatility/intermittency. …

The consistent ranking of multivariate volatility models by means of statistical loss function is a challenging … research field, because it concerns the quality of the proxy chosen to replace the unobserved volatility, the set of competing … realized covariance (RCOV), the proxy that generally provides a consistent estimate of the unobserved volatility. The aim of …

analyze empirical results for a selection of existing realized measures of volatility and incorporate them in a Realized GARCH … framework for the joint modeling of returns and realized measures of volatility. An influential bias in these measures is … over time, which stresses the importance of careful modeling and forecasting of volatility. We show that improved model fit …

We propose a comprehensive treatment of the leverage effect, i.e. the relationship between returns and volatility of a … estimating the volatility process without assuming any specific form of its behavior, we find the volatility to be long … returns and volatility is detected as the long-term cross-correlated one. These findings can be further utilized to enhance …

the close analogy between the integrated GARCH (1,1) model for conditional volatility and the IMA (1,1) model for squared … the aggregation results by inferring the aggregate parameter in the portfolio volatility equation from the estimated …

We extend range-based volatility estimation to the multivariate case. In particular, we propose a range …