The mass index is an indicator, developed by Donald Dorsey, used in technical analysis to predict trend reversals. It is based on the notion that there is a tendency for reversal when the price range widens, and therefore compares previous trading ranges (highs minus lows). Mass index for a commodity is obtained by calculating its exponential moving average over a 9-day period and the exponential moving average of this average (a "double" average), and summing the ratio of these two over a given number of days (usually 25).
M a s s = S u m [ 25 ] o f E M A [ 9 ] o f ( h i g h − l o w ) E M A [ 9 ] o f E M A [ 9 ] o f ( h i g h − l o w ) {\displaystyle Mass=Sum[25]\;of\;{EMA[9]\;of\;(high-low) \over EMA[9]\,of\,EMA[9]\;of\;(high-low)}}
Generally the EMA and the re-smoothed EMA of EMA are fairly close, making their ratio is roughly 1 and the sum around 25. According to Dorsey, a so-called "reversal bulge" is a probable signal of trend reversal (regardless of the trend's direction). Such a bulge takes place when a 25-day mass index reaches 27.0 and then falls to below 26 (or 26.5). A 9-day prime moving average is usually used to determine whether the bulge is a buy or sell signal. This formula uses intraday range values: not the "true range," which adjusts for full and partial gaps. Also, the "bulge" does not indicate direction.
Interpretation The mass index is generally interpreted as a volatility-based reversal indicator rather than a directional indicator. It measures expansion in the high–low trading range and does not by itself indicate whether a subsequent reversal is likely to be upward or downward. For this reason, the mass index is commonly used with another trend-following measure, such as a moving average, to help determine the possible direction of a reversal after a reversal bulge has occurred.
References
