A High-Low Model of Daily Stock Price Ranges
HKIMR Working Paper No.3/2009
42 Pages Posted: 2 Feb 2009
Date Written: January 29, 2009
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 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 some 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 forecasted.
Keywords: Daily High, Daily Low, VECM Model, Forecast Performance, Implied Volatility
JEL Classification: C32, C53, G10
Suggested Citation: Suggested Citation