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Forecasting financial market volatility: Sample frequency vis-à-vis forecast horizon
Authors:Torben G. Andersen   Tim Bollerslev  Steve Lange  
Affiliation:a Department of Finance, J.L. Kellogg Graduate School of Management, Northwestern University, 2001 Sheridan Road, Evanston, IL 60208, USA;b Department of Economics, Duke University, Durham, NC 27708, USA;c NBER, Cambridge, MA 02138, USA;d Department of Economics, Rouss Hall, University of Virginia, Charlottesville, VA 22901, USA
Abstract:This paper explores the return volatility predictability inherent in high-frequency speculative returns. Our analysis focuses on a refinement of the more traditional volatility measures, the integrated volatility, which links the notion of volatility more directly to the return variance over the relevant horizon. In our empirical analysis of the foreign exchange market the integrated volatility is conveniently approximated by a cumulative sum of the squared intraday returns. Forecast horizons ranging from short intraday to 1-month intervals are investigated. We document that standard volatility models generally provide good forecasts of this economically relevant volatility measure. Moreover, the use of high-frequency returns significantly improves the longer run interdaily volatility forecasts, both in theory and practice. The results are thus directly relevant for general research methodology as well as industry applications.
Keywords:Financial market volatility   Forecast horizon   Integrated volatility
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