Intraday Value at Risk (IVaR) Using Tick-by-Tick Data with Application to the Toronto Stock Exchange
HEC Montreal - Department of Finance
University of Montreal - Department of Mathematics and Statistics
Dalhousie University - Rowe School of Business
December 13, 2005
The objective of this paper is to investigate the use of tick-by-tick data for market risk measurement. We propose an Intraday Value at Risk (IVaR) at different horizons based on irregularly time-spaced high-frequency data by using an intraday Monte Carlo simulation. An UHF-GARCH model extending the framework of Engle (2000) is used to specify the joint density of the marked-point process of durations and high-frequency returns. We apply our methodology to transaction data for the Royal Bank and the Placer Dome stocks traded on the Toronto Stock Exchange. Results show that our approach constitutes reliable means of measuring intraday risk for traders who are very active on the market. The UHF-GARCH model performs well out-of-sample for almost all the time horizons and the confidence levels considered even when normality is assumed for the distribution of the error term, provided that intraday seasonality has been accounted for prior to the estimation.
Number of Pages in PDF File: 39
Keywords: Value at Risk, tick-by-tick data, UHF-GARCH models, intraday market risk, high-frequency models, intraday Monte Carlo simulation, Intraday Value at Risk
JEL Classification: C22, C41, C53, G15
Date posted: December 8, 2005
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