Moving Average Convergence Divergence (MACD)

The Moving Average Convergence-Divergence (MACD) indicator is one of the easiest and most efficient momentum indicators you can get. It was developed by Gerald Appel in the late seventies. The MACD moves two trend following indicators and moving averages into a momentum oscillator by subtracting the longer moving average from the shorter moving average. The result is that the MACD gives the best of both worlds: trend following and momentum. The MACD is continually changing above and below the zero line while the moving averages come together, cross and diverge. Traders can search for signal line crossovers, centerline crossovers as well as divergences to generate signals. For that reason the MACD is unbounded, it is not necessarily useful for identifying overbought and oversold levels. Note: MACD is pronounced as either “MAC-DEE” or “M-A-C-D”. Take a look at the sample chart with the MACD indicator in the lower panel:


MACD Line:(12-day EMA - 26-day EMA) 

Signal Line:9-day EMA of MACD Line

MACD Histogram:MACD Line - Signal Line

The MACD Line is the 12-day Expotential Moving Average(EMA) minus the 26-day EMA. Closing prices are used for these moving averages. A 9-day EMA of the MACD Line is plotted with an indicator to function as a signal line and identify turns. The MACD Histogram denotes the difference linking MACD and its 9-day EMA, the Signal line. The histogram stays positive when the MACD Line is above its Signal line and negative when the MACD Line is below its Signal line. The values of 12, 26 and 9 are the typical setting used with the MACD, but other values can be exchanged depending on your trading style and goals.


The MACD is about the convergence and divergence of the faster and slower moving averages. Convergence occurs when the averages move towards each other. Divergence occurs when the averages move away from each other. The shorter moving average is faster and more responsive. The longer moving average is slower and less reactive to price changes. The MACD Line moves above and below the zero line – also known as the centerline. The direction, of course, depends on the direction of the moving average cross. A positive MACD is when the shorter moving average crosses above the longer moving average. As the shorter moving average moves further above the longer moving average (diverges) this means the stock price upside momentum is increasing. When the short moving average drops below the long moving average, it demonstrates that the stock shows a downward momentum.


The yellow area shows the MACD Line in negative territory as the short line is below the long line. In this chart, the crossing occurred at the end of September (see the black arrow) and the MACD moved diverged further into negative territory as the short moving average moves further away from the long moving average. The orange area highlights the period of positive MACD values, which is when the short moving average moves above the long moving average. Notice that the MACD Line stayed below during this period (red dotted line). The red line means that the distance between the slow EMA and long EMA was less than 1 point, which is not a much of a  difference.


Divergence forms when the MACD line moves away from the price line of the stock. Bullish divergence are formed when a stock’s price records a lower low and the MACD hits a higher low. The lower low for the stock confirms the downtrend, but the higher low for the MACD line shows less downward momentum. Downside momentum still outpaces the upward momentum as long as the MACD remains negative. When the downward  momentum slows, it can foreshadows a trend change or a upside rally. The next chart uses a Google (GOOG) chart with a bullish divergence for Oct-Nov 2008.   Notice that there were clear  lower troughs as both Google’s price line and its MACD line bounced in October and late November. Notice that the MACD line formed a higher low as Google’s price line formed a lower low in November. MACD is signalling a bullish divergence as the signal line crosses over in early December.  Google’s price line confirmed the reversal with a breakout.
A bearish divergence forms when a stock price records a higher high and the MACD line forms a lower high as the faster MA crosses the slower MA.  The higher high for the stock price is quite normal for uptrends but when the MACD shows a lower high, this illustrates less upside momentum. Even though upside momentum may have declined, upward momentum is still out performing downside momentum as long as MACD is positive. Declining MACD upward trends can foreshadow a trend reversal or forecast a large price decline. Below we see a chart for Gamestop (GME) with a large MACD bearish divergence from Aug to Oct. The stock chart demonstrates a higher high above 28, but the MACD line falls short of the previous high and shows a lower high. The following MACD crossover is bearish. On the GME price chart, notice how the support is broken and turned into resistance on the following bounce in Nov as we see with the red dotted line. This momentary price bump provided another chance to sell or sell short.
We should be careful interpreting a MACD divergences. Bearish divergences are quite  common for strong uptrends as do bullish divergences during a strong downtrend.  Price uptrends quite often begin with a strong advance which will produce strong upside momentum for MACD. Even though we can see that the uptrend continues, it continues at a slower pace than started the uptrend which causes the MACD to decline. Even when upside momentum is not as strong, upside momentum still outpacing the downside momentum as long as the MACD line is above zero. We can see the opposite occuring when a strong downtrend begins. The next chart shows SPY which is the S&P 500 ETF.  This chart shows four bearish divergences from Aug to Nov 2009. Despite the slower upside momentum, SPY’s price line continued higher because the uptrend was strong. Notice how SPY’s price continues a series of higher highs as well as higher lows. Remember, as long as MACD is positive the  upside momentum is stronger than downside momentum.


MACD is a special indicator as it brings together both momentum and trend in one technical indicator. This unique combination of trend and momentum can be used with daily, weekly and monthly charts. The standard moving average lines for MACD use the difference between the 12 and 26-period EMAs. Chartists that are looking for a more responsive indicator can use a shorter short-term moving average and a longer long-term moving average.  A MACD(5,35,5) is far more responsive than the more standard MACD(12,26,9) and can be a better indicator for weekly charts. Chartists looking for a less sensitivity indicator can use lengthening the moving averages. A less responsive MACD will still oscillate above/below zero but the frequency of the crossovers centerline and signal line crossovers will decline.  Finally, remember that MACD is calculated using the difference between two moving averages. This means that the MACD line is dependent on the price of the stock. For example, the MACD line for a $20 stock may move from -1.5 to 1.5 while the MACD line for a more expensive $100 stock can move from -10 to +10. You cannot compare the MACD charts for several stocks with far different prices. If you want to compare the momentum of various stocks you should probably use the Percentage Price Oscillator (PPO) rather than MACD.