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TAI - Moving Average Convergence/Divergence (MACD)

 

Name, Sometimes Called:

Moving Average Convergence/Divergence (MACD)
Sometimes called MACD histogram

Brief Description:

MACD is a price-based lagging indicator that relates two exponential moving averages (EMAs). MACD can be used in three ways. First, it can suggest buying or selling the issue when MACD crosses its signal line. Second, the issue's price diverging from the MACD can be taken as the end of the current trend. Third, the MACD rising dramatically can be an indication that the issue is overbought.

Definitions, Formulas:

MACD is a price-based lagging indicator that relates two price exponential moving averages (EMAs). One can use the MACD indicator in three ways. One way is as a suggestion to buy or sell the issue when its MACD crosses its signal line. A second way is to take the issue's price diverging from the MACD as the end of the current trend. The third way is to view the MACD's dramatic rise as an indication that the issue is overbought.

MACD requires the calculation of three EMAs. The first two smooth the closing price:

EMAslow = EMA(26)(Closing price)
      This EMA is a long (slow) period of 26 days.

EMAfast = EMA(12)(Closing price)
      This EMA is a short (fast) period of 12 days.

Then
      MACD = EMAfast - EMAslow

The third EMA is a signal (trigger) period of 9 days.

MACDsignal = EMA(9)(MACD)

MACDsignal is usually plotted over the MACD.

Finally,

MACD histogram = MACD - MACDsignal

As can be seen from the calculation, the MACD histogram will be positive when MACD is above MACDsignal and negative when MACD is below MACDsignal.

Both MACD and MACD histogram are differences and will be centered on zero.

Positive Development Calculation:

For this TAI, a new positive development (NPD) occurs when MACD histogram x+ 0, which is the same as MACD x+ MACDsignal

This TAI is no longer positive when the MACD histogram is lower than yesterday. However, it returns to being a positive development if both the MACD histogram rises and MACD x+ MACDsignal.

This TAI is no longer positive when the MACD histogram x- zero.

If this TAI is still positive tomorrow, it will no longer be new, but will be a cumulative positive development (CPD).

If this TAI was a new positive development (NPD) yesterday, and is still positive today, then it becomes a cumulative positive development (CPD).

History:

Gerald Appel, a professional money manager, and publisher of Systems and Forecasts developed MACD. Systems and Forecasts is available from www.systemsandforecasts.com. MACD uses only moving average calculations. The “standard” MACD uses the 26-day long (slow) period, 12-day short (fast), and 9-day signal (trigger) periods. Appel and others have used other periods to deal with fast-moving or slow-moving stocks.

Some analysts view MACD as an oscillator. They believe it is most effective in wide-swinging trading markets. When the MACD rises sharply, they believe, the security's price is likely overextended and will soon return to more realistic levels.

Other analysts prefer to view MACD as a trend-following indicator and attempt to find divergences in chart patterns. For example, a bearish divergence occurs when the MACD is reaching new lows while prices fail to reach new lows. Similarly, a bullish divergence occurs when the MACD is reaching new highs while prices fail to reach new highs. Such divergences are most significant when they occur at relatively overbought or oversold levels.

This chart below shows the MACD indicator for IVX. Between 10/19/2005 and 12/2/2005 it turned into a new positive development twice. Each time it forecast a short term price increase.

Chart showing MACD indicator for IVX

 

 
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