Accurate value-at-risk forecasting based on the normal-GARCH model

  • Authors:
  • Christoph Hartz;Stefan Mittnik;Marc Paolella

  • Affiliations:
  • Department of Statistics, University of Munich, Germany;Department of Statistics, University of Munich, Germany and Center for Financial Studies, Frankfurt, Germany and Ifo Institute for Economic Research, Munich, Germany;Swiss Banking Institute, University of Zurich, Switzerland

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2006

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Abstract

A resampling method based on the bootstrap and a bias-correction step is developed for improving the Value-at-Risk (VaR) forecasting ability of the normal-GARCH model. Compared to the use of more sophisticated GARCH models, the new method is fast, easy to implement, numerically reliable, and, except for having to choose a window length L for the bias-correction step, fully data driven. The results for several different financial asset returns over a long out-of-sample forecasting period, as well as use of simulated data, strongly support use of the new method, and the performance is not sensitive to the choice of L.