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What is Exponential Moving Average & How to Calculate EMA?

6 min readby Angel One
The Exponential Moving Average (EMA) is a technical indicator that provides more weight to recent prices for determining market trends and price direction.
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The Exponential Moving Average (EMA) is a price-tracking indicator utilised in technical analysis that prioritises recent closing rates over older data. This weighting mechanism enables the EMA to capture current market momentum faster than a simple average. 

On stock charts, EMA appears as a smooth line that adjusts to price movement, assisting readers in interpreting trend direction, momentum, and dynamic price levels over a given time period. 

Key Takeaways 

  • EMA gives higher weight to recent prices using a smoothing factor. 

  • Common EMA periods used are 9, 12, 20, 26, 50, 100, and 200 days. 

  • EMA reacts faster to price changes than the Simple Moving Average (SMA). 

  • EMA is plotted directly on price charts to observe trend direction and price patterns. 

What is an Exponential Moving Average? 

The exponential moving average, or EMA, gives higher weightage to more recent data points. As compared to a simple moving average, an exponential moving average reacts more significantly to recent price changes.  

The most popular short-term averages are the 12-day and 26-day EMA. For the long-term trends, the 50-day and 200-day EMAs are used. If at any point the stock price inches past the 200-day EMA or makes a cross sign, it is an indication of a reversal that has occurred. The more extended period taken for the EMA, the lower the relative weighting for recent trading. 

What is EMA in Stocks? 

In stock markets, EMAs are used for analysis and as a trading signal. Slopes in the EMA charts show the uptrend or downtrend of a stock. The 20-day and 50-day EMAs may act as dynamic support or resistance when prices repeatedly reverse direction near these levels over a period of time. 

The support level is the point at which the price tends to stop falling and may rise, while the resistance level is where the price tends to stop rising and may fall. A good time to enter is when the price breaks the trend line. 

The EMA can be used to provide a trade direction. You may consider buying a stock when the EMA rises, and the prices drop just below the EMA or are near it. Similarly, you could sell a stock when the EMA falls, and the prices rally near or just above the EMA. 

The best way to judge a possible turn in stock price is by plotting the EMA and the simple moving average (SMA) on a price chart. The point where the long-term SMA and short-term EMA cross is when the recent price trend is reversing. 

EMAs are also used with other indicators, such as Keltner Channels, to give buy signals. 

Formula for EMA 

EMA = (Closing Price × Multiplier) + (Previous EMA × (1 - Multiplier)) 

Multiplier = 2 / (Period + 1) 

Example: For a 20-day EMA, Multiplier = 2 / 21 ≈ 0.0952. 

How to Calculate EMA?

To calculate EMA, you must first compute the initial Simple Moving Average (SMA) and apply the smoothing multiplier to subsequent values of the previous EMA. SMA is the sum of the closing prices of a stock over a time period, divided by the number of periods.  

For example, the SMA for 20 days is the sum of the closing prices in the last 20 trading days, divided by 20. 

The multiplier is calculated with the formula: 

[2 / (selected time period + 1)] 

Example: For a 20-day period, the multiplier is [2 / (20 +1)] ≈ 0.0952. 

Subsequent values are calculated with the formula: 

[(Closing price × multiplier) + (previous EMA × (1 - multiplier))] 

(Alternative form: EMA = previous EMA + (Close – previous EMA) × multiplier) 

What Does EMA Tell You? 

The Exponential Moving Average (EMA) acts as a compass, providing valuable insights into market trends. Unlike a simple moving average (SMA) that equally weights all prices in a period, EMA gives more importance to recent data. This makes it more responsive to current market conditions. Imagine a price chart with frequent ups and downs. The SMA would smooth the irregularities. However, the EMA will follow the trend line more closely. 

The choice of EMA length significantly impacts the information it reveals about the market. Here's a breakdown of some frequently used EMA lengths and their applications: 

  1. Short-term EMAs (12-25 days): These EMAs react quickly to price changes and are often used to identify short-term trends and trading signals. They can be instrumental in technical indicators like Moving Average Convergence Divergence (MACD) and Percentage Price Oscillator (PPO). However, due to their sensitivity, they can also generate more frequent buy-and-sell signals that may not be ideal for all trading styles. 

  1. Long-term EMAs (50-200 days): These EMAs place more emphasis on historical data, smoothing out short-term volatility and providing a clearer picture of long-term trends. They are helpful for gauging the overall market direction and identifying potential support and resistance levels. Because they react more slowly to price changes, they may not be suitable for capturing short-term opportunities. 

So overall, what exactly does EMA tell you? 

  1. Direction of the trendAn upward-sloping EMA suggests a bullish market, while a downward slope indicates a bearish trend. This helps you understand the overall sentiment and make informed decisions. 

  1. Trend strength: The steeper the EMA slope, the stronger the trend. A gentle slope suggests a possible trend change or a period of consolidation. 

  1. Early trend identification: Due to its focus on recent data, EMA can pick up on emerging trends faster than SMA. This allows you to potentially capitalize on opportunities before they become mainstream. 

However, EMA is a lagging indicator, meaning it reacts to past price movements. It can also be more volatile due to its sensitivity to short-term fluctuations. 

By combining EMA with other technical indicators and fundamental analysis, you can gain a more comprehensive understanding of the market. Remember, EMA is a powerful tool, but it's best used in conjunction with other strategies for successful trading. 

Difference Between EMA and SMA 

Both EMA and SMA are technical analysis tools used by traders to identify trends and smooth out price fluctuations in the market. While they share some similarities, there are key differences in their calculations and how they react to price movements: 

  1. Weighting of Price Data: SMA treats all price points within a chosen period equally when calculating the average. EMA, on the other hand, assigns greater weight to more recent prices, making it more responsive to current market conditions. 

  1. Reaction to Price Changes: Due to the emphasis on recent data, EMA reacts faster to price swings compared to SMA. This can be beneficial for identifying emerging trends early on. However, it can also lead to more signal noise due to short-term volatility. 

  1. Accuracy and Usability: Although a 10-day EMA can be calculated with 10 days of data, a longer timeframe is generally recommended for a more reliable representation of the trend. SMAs tend to be less sensitive to short-term fluctuations, making them potentially useful for confirming trends identified by EMA or for longer-term analysis. 

In conclusion, both EMA and SMA offer valuable insights for traders. EMA provides a quicker response to price changes, while SMA offers a smoother trend indication. Choosing the right indicator depends on your trading goals and risk tolerance. 

Advantages of Exponential Moving Average 

The Exponential Moving Average (EMA) has the following advantages: 

  1. Identifies and Confirms the Market Trend 

EMA aids in determining the prevalent price direction over a certain time period. When the EMA slopes upward, it means that current prices are typically rising, whereas a downward slope implies that prices are falling. This graphic depiction enables readers to determine if a stock is in an uptrend, decline, or going sideways without examining individual price points. 

  1. Act as Support and Resistance Bands 

EMAs can serve as dynamic support and resistance points on price charts. Prices may often change direction around commonly used moving averages (EMAs), such as the 20-day or 50-day EMA. This repeating behaviour aids in analysing how price interacts with certain levels throughout trending periods, providing insight into locations where price movement may pause or shift direction. 

  1. Sensitive to Price Movements 

EMA is more sensitive to recent price moves than the Simple Moving Average (SMA). Because it gives more weight to the most recent data, the EMA responds faster when prices shift direction. This responsiveness facilitates earlier detection of momentum shifts, particularly during times of elevated market activity. 

EMA Limitations 

While the EMA is useful for monitoring price patterns, it has several limitations because it is based only on historical price data, including: 

  1. Lagging Indicator 

Since EMA is determined using past prices, it tracks price progress rather than forecasting reversals. Signals may arise after the trend has already begun. 

  1. Unreliable in Sideways Markets 

During range-bound periods, prices repeatedly cross the EMA without creating a clear trend. This may make interpretation challenging. 

  1. Sensitive to Short-Term Volatility 

Since the EMA lends more weight to recent prices, unexpected volatility might produce frequent direction changes in the indicator. 

Conclusion 

EMAs are used for technical analysis, but it can be dangerous if misinterpreted. Also, moving averages do not tell us the exact top or bottom of a trade, but help us to judge the general direction. 

FAQs

The EMA formula is (Closing Price × Multiplier) + (Previous EMA × (1 - Multiplier)). 

There's no single "best" EMA. Short-term EMAs (12-25 days) react faster for day trading, while long-term EMAs (50-200 days) show trends for long-term investing. Choose based on your goals.
Both EMAs and SMAs are useful. EMAs react quicker to trends, while SMAs are smoother and less volatile. They provide different insights, so some traders use both.

EMA = (Close × Multiplier) + (Previous EMA × (1 - Multiplier)), where Multiplier = 2 ÷ (Period + 1). For 20-day EMA, multiplier ≈ 0.0952; begin with SMA for the first value. 

SMA allocates equal weight to all prices in the period (for example, the 20-day average of the past 20 closes); EMA weights recent prices more strongly using a smoothing factor, making it more sensitive to new data. 

Neither is universally superior. EMA responds quicker to trends (excellent for short-term confirmation), whereas SMA is smoother, with fewer fluctuations (better for long-term confirmation). Signals may be created by combining both. 

EMAs are used for short-term trading (9-26 periods) to spot momentum shifts or in MACD, and longer EMAs (50-200 periods) for trend direction/support. Best for trending markets; avoid choppy ranges.

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