This paper illustrates regression and Kalman filtering methods for estimating the time-varying term structure of volatility expectations revealed by options prices. Short- and long-term expectations are estimated for four currencies using daily PHLX options prices from 1985 to 1989. Throughout...

Asset price volatility appears to be more persistent than can be captured by individual, short memory, autoregressive or moving average components. Fractional integration offers a very parsimonious and tempting formulation of this long memory property of volatility but other explanations such as...

In this article we compare volatility forecasts over a thirty-minute horizon for the spot exchange rates of the Deutsche mark and the Japanese yen against the U.S. dollar. Explicitly modeling the intraday seasonal pattern improves the out-of-sample forecasting performance. We find that a...

ARCH models can be used to predict volatility and to enhance option pricing methodologies. A guide to these models is provided and illustrative results are presented for the prices of Shell stock traded in London.