MACD (Moving Average Convergence Divergence) is a widely used technical indicator among investors. Developed by Gerald Appel in the late 1970s, it is a trend-following indicator that can simultaneously indicate (Trend) direction and (Momentum) strength.
The core concept of MACD involves comparing two Exponential Moving Averages (EMA): using EMA(12) for short-term changes and EMA(26) for long-term trends. The difference between these two helps us see whether the price trend is converging (Convergence) or diverging (Divergence), which is the origin of the name MACD.
The Structure of MACD Consists of Three Main Parts
1. MACD Line (MACD Line)
The MACD line is calculated by subtracting EMA(26) from EMA(12)
Formula: MACD = EMA(12) – EMA(26)
This line helps us interpret the trend as follows:
When MACD > 0 (above zero line), it indicates short-term average is higher than long-term, signaling an uptrend
When MACD < 0 (below zero line), it indicates short-term average is lower than long-term, signaling a downtrend
Additionally, the slope of the MACD line can tell us about the strength of the trend. A rapidly increasing or decreasing slope indicates strong momentum, while a flattening slope suggests weakening trend.
2. Signal Line
Signal Line = EMA(9) of MACD
The Signal Line is calculated as an EMA(9) of the MACD line. It helps us see changes in MACD more quickly.
Interpreting signals from comparing MACD and Signal Line:
MACD > 0 and Signal Line > MACD = Bullish MACD (confirms uptrend)
MACD < 0 and Signal Line < MACD = Bearish MACD (confirms downtrend)
The 9-period value can be adjusted by traders; some may use EMA(5) or EMA###7( for faster signals.
) 3. MACD Histogram
MACD Histogram = MACD – Signal Line
The histogram visualizes the difference between MACD and Signal Line as bars, making trend changes more apparent.
Interpreting Histogram:
When Histogram > 0 (positive), MACD is above Signal Line, indicating a strong uptrend
When Histogram < 0 (negative), MACD is below Signal Line, indicating a strong downtrend
When Histogram = 0 (critical point), MACD equals Signal Line, and trend change may be imminent. If Histogram turns negative, it signals a sell; if positive, a buy.
Why Use EMA Instead of SMA in MACD
Moving Averages come in various types, including SMA (Simple Moving Average), which weights all data equally, and EMA (Exponential Moving Average), which gives more weight to recent prices.
Reasons MACD uses EMA:
Responds faster to price changes than SMA, providing quicker signals
Suitable for time series data like stock or crypto prices that change continuously
Reduces lag in trend change detection
Example Calculation of MACD from USDCHF Data
Calculate EMA(12) and EMA(26) using:
EMA(12) = P × k + EMA(n-1( × (1 – k)
EMA)26( = P × k + EMA)n-1) × (1 – k)
where k = 2 / ((n+1))
Signal Line from:
EMA(9) = MACD × k + EMA(n-1( × (1 – k)
Histogram = MACD – Signal Line
Below is a sample data table from May 22 to July 21, 2023:
Date
Close
EMA)12(
EMA)26)
MACD
Signal Line
Histogram
21/07/2023
0.8651
0.8705
0.8808
-0.0104
-0.0067
-0.0037
20/07/2023
0.8579
0.8728
0.8821
-0.0093
-0.0057
-0.0036
19/07/2023
0.8576
0.8755
0.8840
-0.0086
-0.0048
-0.0037
22/05/2023
0.8982
0.8955
0.8936
0.0019
0.0019
0.0000
Plotting these on a chart shows EMA(12) and EMA(26) gradually converging, with MACD approaching zero, indicating weakening downtrend and potential reversal to an uptrend soon.
What MACD Tells Us
( 1. Trend Identification )Trend(
Basic principle: if price is rising, short-term averages are higher than long-term ones.
Uptrend = MACD > 0 (EMA 12 > EMA 26)
Downtrend = MACD < 0 (EMA 12 < EMA 26)
Critical point = MACD = 0 )crossing(, indicating trend change
) 2. Momentum Strength (Momentum)
The slope of MACD indicates trend strength:
Strong bullish momentum = MACD positive and increasing above zero
Strong bearish momentum = MACD negative and decreasing below zero
Weakening bullish trend = MACD positive but slope decreasing
Weakening bearish trend = MACD negative but slope decreasing
( 3. Divergence and Reversal Signals )MACD Divergence(
Divergence occurs when price and MACD move in opposite directions, signaling potential trend reversal:
Bearish Divergence = Price makes new highs but MACD fails to follow, indicating weakening upward momentum
Bullish Divergence = Price makes new lows but MACD does not, indicating weakening downward momentum
Trading Strategies Using MACD
) Method 1: Zero Cross ###Crossing the Zero Line(
The simplest method: watch for MACD crossing the center line:
Buy Signal:
MACD crosses upward from below zero, turning positive, indicating a potential uptrend
Sell Signal:
MACD crosses downward from above zero, turning negative, indicating a potential downtrend
Disadvantage: signals may be delayed, confirming only after trend has started.
) Method 2: MACD Crossover (Crossing Signal Line)
A faster method: observe MACD crossing the Signal Line:
Buy Signal:
MACD crosses above Signal Line, even if still negative, suggesting bearish momentum is waning and trend may reverse upward
Sell Signal:
MACD crosses below Signal Line, even if still positive, indicating bullish momentum weakening and potential reversal downward
Advantage: quicker signals than Zero Cross, but more prone to false signals.
( Method 3: MACD Divergence
Used to detect hidden trend reversals:
Bullish Divergence:
Price makes lower lows, MACD fails to follow and becomes more positive, indicating decreasing downward momentum
MACD crosses above the center line = buy signal
Bearish Divergence:
Price makes higher highs, MACD fails to follow and becomes more negative, indicating decreasing upward momentum
MACD crosses below the center line = sell signal
Advantages: high accuracy as it signals before price moves, but may take longer to develop.
Combining MACD with Other Tools for Better Accuracy
) MACD + RSI
Benefit: RSI indicates overbought/oversold conditions quickly, while MACD confirms trend.
Buy Signal:
RSI enters oversold zone (below 30) and MACD below zero line
MACD crosses above zero line = strong buy signal
Sell Signal:
RSI enters overbought zone ###above 70( and MACD above zero line
Works best in trending markets: MACD is less effective in sideways or range-bound markets
Therefore, do not rely solely on MACD. Combine it with other tools like Support/Resistance, Trendlines, Moving Averages, or RSI to improve accuracy and reduce false signals.
Setting Up MACD and Actual Trading
Steps to add MACD on your trading platform:
Select “Add Indicator” from menu
Find and add “MACD” to your chart
Click “Settings” to customize:
FastLength = 12 (short EMA)
SlowLength = 26 (long EMA)
SignalLength = 9 ###signal line(
These are standard default values, but you can adjust them to suit your trading style, e.g., FastLength = 10, SlowLength = 24 for faster signals.
For beginners: Use default values )12, 26, 9( first. Once familiar, experiment with different settings to match your trading approach.
Summary
MACD is a powerful tool for identifying trend and momentum, widely popular among traders worldwide. However:
MACD is not a crystal ball: Use it as part of a comprehensive trading system
Signals are lagging: Combine with RSI, Bollinger Bands, or Price Patterns for quicker insights
Practice extensively in demo accounts before live trading
Trade small initially when learning MACD
With experience, MACD can become a valuable asset, helping you trade more accurately and consistently.
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How do I understand MACD: An Accurate Trading Guide
What is MACD and How Does It Benefit Trading
MACD (Moving Average Convergence Divergence) is a widely used technical indicator among investors. Developed by Gerald Appel in the late 1970s, it is a trend-following indicator that can simultaneously indicate (Trend) direction and (Momentum) strength.
The core concept of MACD involves comparing two Exponential Moving Averages (EMA): using EMA(12) for short-term changes and EMA(26) for long-term trends. The difference between these two helps us see whether the price trend is converging (Convergence) or diverging (Divergence), which is the origin of the name MACD.
The Structure of MACD Consists of Three Main Parts
1. MACD Line (MACD Line)
The MACD line is calculated by subtracting EMA(26) from EMA(12)
Formula: MACD = EMA(12) – EMA(26)
This line helps us interpret the trend as follows:
Additionally, the slope of the MACD line can tell us about the strength of the trend. A rapidly increasing or decreasing slope indicates strong momentum, while a flattening slope suggests weakening trend.
2. Signal Line
Signal Line = EMA(9) of MACD
The Signal Line is calculated as an EMA(9) of the MACD line. It helps us see changes in MACD more quickly.
Interpreting signals from comparing MACD and Signal Line:
The 9-period value can be adjusted by traders; some may use EMA(5) or EMA###7( for faster signals.
) 3. MACD Histogram
MACD Histogram = MACD – Signal Line
The histogram visualizes the difference between MACD and Signal Line as bars, making trend changes more apparent.
Interpreting Histogram:
Why Use EMA Instead of SMA in MACD
Moving Averages come in various types, including SMA (Simple Moving Average), which weights all data equally, and EMA (Exponential Moving Average), which gives more weight to recent prices.
Reasons MACD uses EMA:
Example Calculation of MACD from USDCHF Data
Calculate EMA(12) and EMA(26) using:
where k = 2 / ((n+1))
Signal Line from:
Histogram = MACD – Signal Line
Below is a sample data table from May 22 to July 21, 2023:
Plotting these on a chart shows EMA(12) and EMA(26) gradually converging, with MACD approaching zero, indicating weakening downtrend and potential reversal to an uptrend soon.
What MACD Tells Us
( 1. Trend Identification )Trend(
Basic principle: if price is rising, short-term averages are higher than long-term ones.
) 2. Momentum Strength (Momentum)
The slope of MACD indicates trend strength:
( 3. Divergence and Reversal Signals )MACD Divergence(
Divergence occurs when price and MACD move in opposite directions, signaling potential trend reversal:
Trading Strategies Using MACD
) Method 1: Zero Cross ###Crossing the Zero Line(
The simplest method: watch for MACD crossing the center line:
Buy Signal:
Sell Signal:
Disadvantage: signals may be delayed, confirming only after trend has started.
) Method 2: MACD Crossover (Crossing Signal Line)
A faster method: observe MACD crossing the Signal Line:
Buy Signal:
Sell Signal:
Advantage: quicker signals than Zero Cross, but more prone to false signals.
( Method 3: MACD Divergence
Used to detect hidden trend reversals:
Bullish Divergence:
Bearish Divergence:
Advantages: high accuracy as it signals before price moves, but may take longer to develop.
Combining MACD with Other Tools for Better Accuracy
) MACD + RSI
Benefit: RSI indicates overbought/oversold conditions quickly, while MACD confirms trend.
Buy Signal:
Sell Signal:
) MACD + Bollinger Bands
Benefit: Bollinger Bands identify breakout points; MACD confirms.
Buy Signal:
Sell Signal:
) MACD + Williams %Range
Benefit: Williams %Range clearly indicates overbought/oversold, MACD confirms trend change.
Buy Signal:
Sell Signal:
( MACD + Price Patterns )Chart Patterns###
Benefit: Price patterns reveal structural setups, while MACD confirms breakouts.
Buy Signal:
Sell Signal:
Limitations of MACD to Understand
MACD is a Lagging Indicator that signals after the trend has already begun. Limitations include:
Therefore, do not rely solely on MACD. Combine it with other tools like Support/Resistance, Trendlines, Moving Averages, or RSI to improve accuracy and reduce false signals.
Setting Up MACD and Actual Trading
Steps to add MACD on your trading platform:
These are standard default values, but you can adjust them to suit your trading style, e.g., FastLength = 10, SlowLength = 24 for faster signals.
For beginners: Use default values )12, 26, 9( first. Once familiar, experiment with different settings to match your trading approach.
Summary
MACD is a powerful tool for identifying trend and momentum, widely popular among traders worldwide. However:
With experience, MACD can become a valuable asset, helping you trade more accurately and consistently.