This article develops the dynamic asymmetric GARCH (or DAGARCH) model that generalizes asymmetric GARCH models such as that of Glosten, Jagannathan, and Runkle (GJR), introduces multiple thresholds, and makes the asymmetric effect time dependent. We provide the stationarity conditions for the...

The paper describes alternative methods of estimating Value-at-Risk (VaR) thresholds based on two calibrated models and three conditional volatility or GARCH models. The five models of volatility are used to estimate and forecast the VaR thresholds of an equally-weighted portfolio, comprising...

This paper estimates the dynamic conditional correlations in the returns on WTI oil one-month forward prices, and one-, three-, six-, and twelve-month futures prices, using recently developed multivariate conditional volatility models. The dynamic correlations enable a determination of whether...