volatility of carbon emissions, it is not surprising that crude oil and coal have recently become a very important research topic … causality and volatility spillovers in spot and futures prices of carbon emissions, crude oil, and coal. A likelihood ratio test … is developed to test the multivariate conditional volatility Diagonal BEKK model, which has valid regularity conditions …

The paper examines the performance of four multivariate volatility models, namely CCC, VARMA-GARCH, DCC and BEKK, for … the optimal portfolio weights of all multivariate volatility models for Brent suggest holding futures in larger … volatility model give the time-varying hedge ratios, and recommend to short in crude oil futures with a high proportion of one …