Lyapunov Stability and Hodrick-Prescott Filtering for Price Signals

Summary

This indicator description combines Lyapunov’s theory of movement stability with the Hodrick-Prescott filter, a time-series smoothing method used to distinguish longer-term trends from shorter-term variation. It exposes two inputs: the filter calculation period and the price series used in the calculation. The intended use is to help identify possible changes in price direction from the smoothed signal.

The description supplies no equations, trading rules, charts, or empirical performance results, so it does not show how the stability concept is integrated with the filter or establish predictive value. It also warns that the HP-based output redraws three bars, including the current bar. That repainting can make historical signals look different from what was visible in real time, a material limitation for evaluation and live use. The claim of relatively small lag is asserted but not quantified or supported with evidence.

Key ideas

• The indicator combines a Hodrick-Prescott smoother with ideas from Lyapunov stability theory.
• Users set the filter period and the applied price series.
• The indicator is intended to flag possible changes in price movement.
• It redraws the current bar and two preceding bars, complicating real-time assessment.
• The description gives no empirical validation or detailed trading rules.

Tags

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.