New frontiers for arch models
Article first published online: 28 OCT 2002
Copyright © 2002 John Wiley & Sons, Ltd.
Journal of Applied Econometrics
Special Issue: Modelling and Forecasting Financial Volatility
Volume 17, Issue 5, pages 425–446, September/October 2002
How to Cite
Engle, R. (2002), New frontiers for arch models. J. Appl. Econ., 17: 425–446. doi: 10.1002/jae.683
- Issue published online: 28 OCT 2002
- Article first published online: 28 OCT 2002
- Manuscript Revised: 7 JUN 2002
- Manuscript Received: 13 DEC 2001
In the 20 years following the publication of the ARCH model, there has been a vast quantity of research uncovering the properties of competing volatility models. Wide-ranging applications to financial data have discovered important stylized facts and illustrated both the strengths and weaknesses of the models. There are now many surveys of this literature. This paper looks forward to identify promising areas of new research. The paper lists five new frontiers. It briefly discusses three—high-frequency volatility models, large-scale multivariate ARCH models, and derivatives pricing models. Two further frontiers are examined in more detail—application of ARCH models to the broad class of non-negative processes, and use of Least Squares Monte Carlo to examine non-linear properties of any model that can be simulated. Using this methodology, the paper analyses more general types of ARCH models, stochastic volatility models, long-memory models and breaking volatility models. The volatility of volatility is defined, estimated and compared with option-implied volatilities. Copyright © 2002 John Wiley & Sons, Ltd.