## Random Walk Index Definition

The random walk index (RWI) is a technical indicator that attempts to determine if a stock’s price movement is random or nature or a result of a statistically significant trend.  The random walk index attempts to determine when the market is in a strong uptrend or downtrend by measuring price ranges over N and how it differs from what would be expected by a random walk (randomly going up or down).  The greater the range suggests a stronger trend.  The RWI states that the shortest distance between two points is a straight line and the further prices stray from a straight line, implies the market is choppy and random in nature.

## Random Walk Index Formula

The random walk index determines if a security is in an uptrend or downtrend.    For each period the RWI is computed by calculating the maximum of the following values for high periods:

(HI – LO.n) / (ATR.1(n) * SQRT(n))

For each period the RWI  is computed by calculating the maximum of the following values for low periods:

(HI.n – LO) / (ATR.1(n) * SQRT(n))

## Trading with the Random Walk Index

Michael Poulos the creator of the RWI, discovered during his research that it was best optimized for 2 to 7 periods for short-term trading and 8 to 64 periods for long-term trading.  Readings of the long-term RWI of highs that exceed 1 provides a good indication of a sustainable uptrend.  Conversely, a long-term RWI of lows above 1 provide a good indication of a sustainable downtrend.  Poulous realized that by combining the short-term RWI with the long-term RWI in a trading system, it could provide accurate buy and sell points.  Below are some rules developed by Poulos for trading stocks and futures with his RWI:

• Enter a long (or close short) when the long-term RWI of the highs is greater than 1 and the short-term RWI of lows peaks above 1
• Enter short (or close long) when the long-term RWI of the lows is greater than 1 and the short-term RWI of highs peaks above 1

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