What is the Random Walk Index?
The Random Walk Index (RWI) was developed by Michael Poulos to help traders determine whether a security's price action is following a "random walk" or if it's showing a significant statistical trend, either upwards or downwards.

The RWI consists of two lines: the RWI High and the RWI Low. These lines measure the strength of uptrends and downtrends:
- If the RWI High is above the RWI Low, it indicates that upward momentum is stronger than downward momentum.
- Conversely, if the RWI Low is above the RWI High, downward momentum is more robust.
- When either the RWI High or RWI Low exceeds one, it signals a strong trend that isn't random. Readings below one suggest that price movements may be random due to insufficient strength.
How is the RWI Calculated?
The calculation for the RWI High is as follows:

And for the RWI Low, the calculation is:

Key Changes in the Latest Version:
- This version is based on a previous version found here.
- Unlike many other versions that use approximations, this iteration correctly calculates the RWI.
- Two major issues from the original version have been addressed:
- The original RWI was difficult to use due to its sensitivity, leading to frequent fluctuations that made trend identification challenging.
- It also featured a complex calculation process that could be CPU-intensive, especially over longer periods.
- In this revision:
- The interface has been modified for a smoother user experience.
- Performance has significantly improved, particularly in back-testing, with speeds now ranging from 10 to 15 times faster under default settings.
While one deviation from the original formula results in slightly different values, the essential crossover points remain intact.

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