A high–low model of daily stock price ranges

Yan Leung Stephen CHEUNG, Yin-Wong CHEUNG, Alan T.K. WAN

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35 Citations (Scopus)


We observe that daily highs and lows of stock prices do not diverge over time and, hence, adopt the cointegration concept and the related vector error correction model (VECM) to model the daily high, the daily low, and the associated daily range data. The in‐sample results attest to the importance of incorporating high–low interactions in modeling the range variable. In evaluating the out‐of‐sample forecast performance using both mean‐squared forecast error and direction of change criteria, it is found that the VECM‐based low and high forecasts offer some advantages over alternative forecasts. The VECM‐based range forecasts, on the other hand, do not always dominate—the forecast rankings depend on the choice of evaluation criterion and the variables being forecast. Copyright © 2008 John Wiley & Sons, Ltd.
Original languageEnglish
Pages (from-to)103-119
JournalJournal of Forecasting
Issue number2
Publication statusPublished - Mar 2009


Cheung, Y.-L., Cheung, Y.-W., & Wan, A. T. K. (2009). A high–low model of daily stock price ranges. Journal of Forecasting, 28(2), 103-119. doi: 10.1002/for.1087


  • Daily high
  • Daily low
  • VECM model
  • Forecast performance
  • Implied volatility


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