Dynamic Asymmetric GARCH

This article develops the dynamic asymmetric GARCH (or DAGARCH)model that generalizes asymmetric GARCH models such as thatof Glosten, Jagannathan, and Runkle (GJR), introduces multiplethresholds, and makes the asymmetric effect time dependent.We provide the stationarity conditions for the DAGARCH modeland show how GJR can be obtained as a special case. Furthermore,we derive the news impact curve implied by the DAGARCH modeland demonstrate its flexibility. An application to daily stockmarket indices is presented to demonstrate the practical usefulnessof the new model.