June 2007

Study Tip:

MACD Fundamental Behavior
by Howard Arrington

To understand a study more thoroughly, it needs to be observed on a theoretical Elliott wave formation.  To often a study is slapped on a chart, adjustable parameters are tweaked, and with the benefit of hindsight some trade signals are derived.  The advanced student might go the extra mile and delve into the mathematics of the study's formula.  But the fundamental behavior of the study is not understood well.  This article will help you understand the Moving Average Convergence Divergence (MACD) Oscillator better through an original approach.

The basic concepts of the Elliott Wave Theory are that action is followed by reaction, and there are 5 waves in the main trend, followed by 3 waves in the correction.   Since this pattern is seen over and over in the markets, a theoretical chart based on these principles will be used so MACD can be analyzed without market 'noise' obscuring its fundamental behavior.

The MACD is the spread between a short period average and a long period average.  Typical parameters for the two averages are 5 and 34, which will be used in the examples for this article.

Various characteristics can be found in the 5/34 MACD study applied to this theoretical chart.

1)  Divergence is not present as the price action puts in any of the swing tops or swing bottoms.   Other studies, however, such as Stochastic and R.S.I. often show divergence.

2)  The patterns formed by waves 1, 3 and 5 are very similar.  So traders really need to count waves and wait for the completion of the 5th wave to have the ideal entry signal.

3)  The pattern at the Ideal Sell is a lower right side shoulder on both the price action and on the MACD study.   The pattern at the Ideal Buy is a raised right side shoulder on the chart and on the study.

4)  If you want an earlier signal you might plot a Moving Average of the MACD such as is illustrated by the Red study line.  The signal would be the MACD crossing its average.  In the example, a 9 period average is plotted as the Red line.   Again, wait for the crossing after the 5th wave is in place.

5)  The a-b-c correction in the retracement waves 2 and 4 will cause the MACD to cross its average and cross below the zero line.   Both of these would be false signals.   Wait for the completion of the 5th wave.

Average Formula:

Now that the fundamental behavior of MACD is understood as the Elliott waves develop in a market, the theoretical chart will be used to observe the effect of different average formulas.   The first decision is whether to use Simple, Exponential, Weighted or Howard's averages in the MACD calculations.   All examples shown in the next graph use the same 5 and 34 parameters for the two averages.




The only significant difference observed here is that Divergence is present when the Howard's moving average formula is used.  Note in the plot for the Howard's formula that the hills for the 3rd wave and the 5th wave are decreasing in their amplitude.   Click here to learn more about Howard's formula.

Average Parameters:

Now the parameter for the 1st average will be varied to see the effect it makes in the MACD plot.



The observable difference is that a higher parameter results in a shallower valley.  The pattern remains basically the same.

Now the 2nd average's parameter will be varied.



There is a bit of Divergence in the 3rd and 5th wave patterns when a smaller parameter is used for the 2nd average.   The patterns and signal interpretations are basically the same, regardless of the parameter used for the 2nd average.

The theoretical chart has been very helpful in gaining a better understanding the fundamental behavior of the MACD study.   Click the links below to read other articles where the theoretical wave has been used to discover the fundamental behavior of other studies.


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