Technically, Polarized Fractal Efficiency (PFE) is a measure of market choppiness. It is an indicator derived from fractal geometry, the mathematics that describes chaotic systems.
This technical indicator was developed by Hans Hannula to determine price efficiency over a user-defined period. This indicator fluctuates between -100 and +100, with 0 as the centerline. Securities with a PFE greater than zero are deemed to be trending up, while a reading of less than zero indicates the trend is down. Polarized Fractal Efficiency's signature characteristic is its use of fractal geometry in determining how efficiently a security's price is moving.
This script uses a customized version of PFE formula and generates a long entry signal when the Polarized Fractional Efficiency (PFE) value crosses over a signal line, and/or generates a short entry signal when the PFE value crosses under a signal line.
The Polarized Fractional Efficiency indicator can be used to determine price efficiency over a user-defined time period. Assets with a PFE greater than zero are deemed to be trending up, while a reading of less than zero indicates the trend is down. The strengh of the trend is measured by the position of the PFE relative to the zero line.
As a general rule, the further the PFE value is away from zero, the stronger and more efficient the given trend is. A PFE value that fluctuates around the zero line could indicate that the supply and demand for the security are in balance and price may trade sideways.