The Cone of Profitability is the forecasting of the Bollinger Bands and works with any stock or index. It provides a reliable price range as a probability. Statistically, a parabolic ( y2+b=x) shape is expected; because markets do not always follow statistical rules, a bobby pin shape often emerges--optimal for option trading.
It requires 10 times the amount of data of the days to forecast (a 20 day forecast requires 200 days of data) and uses a natural logarithm function to forecast the range.
The examples below are set at one standard deviation with a back test date of 1/3/2005.