Triple Exponential Moving Average (TEMA)

    Summary :

     

    A TEMA is a technical indicator that identifies stock price trends. It does this by using three levels of smoothing on each data point to lessen the lag that is inherent in most averages. The TEMA was created by Patrick Mulloy in 1994 and uses three separate smoothing processes to decrease the volatility of an individual security's price and also to continue to be extremely responsive to changes in the security's price.


    The Triple Exponential Moving Average is a technical tool that helps track stock price trends. It is often used when the market is volatile and lag time needs to be kept to a minimum.

    This tool reduces lag by applying multiple smoothing calculations. By filtering market noise, it is commonly used for analysis to see the true trend more clearly.

    TEMA uses several calculations on past values to make signals faster. This is commonly used for carrying out trend analysis across different markets.

    It reduces lag compared to traditional moving averages It is a significant improvement over traditional exponential moving techniques.

    History and Development of TEMA

    The triple exponential moving average was developed by Patrik Muloy and was published in 1994 as an article titled “Smoothing Data With Faster Moving Averages” in the “Technical Analysis of Stocks & Commodities” magazine. Mullay proposed that there was a way around the lag time of existing exponential moving averages. This modified statistical version has lesser lag time that could be used in technical analysis of prices of securities. Generally, the noise level or fluctuations of a time series such as stock prices can be reduced by increasing the moving average length. But this increasing moving average also increases the lag time. 

    The solution to the above problem was a modified statistical version of the exponential moving average that reduces the fluctuations while simultaneously reducing the lags. In the same article, Muloy also proposed DEMA or the double exponential moving average. The triple exponential moving average becomes a very important tool for traders and analysts because it uses consecutive EMA of EMAs, and its formula adjusts for the lag time. One of the most important indicators of price trend, the TEMA is quite effective in predicting trends that are sustained over longer time durations. In those periods of longer trends, the time durations of volatility can easily be filtered and flattened out. The TEMA is usually used with other oscillators and technical indicators to analyze price fluctuations. A usually recommended combination is the usage of the TEMA and the MACD.

    Formula and Calculation of TEMA

    Once the time period of analysis is chosen, the starting fEMA needs to be calculated. Afterward, the second EMA, or the double exponential moving average, is computed from the previously obtained EMA. The third and the last step involves calculating another EMA of the DEMA after which the TEMA is obtained. The TEMA can be represented as follows:

    TEMA = (3 x EMA1) - (3 x EMA2) + EMA3

    Here, EMA1 = initial exponential moving average

              EMA2 = exponential moving average of EMA1, and

              EMA3 = exponential moving average of EMA2

    Since EMA3 is essentially equivalent to EMA(EMA(EMA)), the TEMA needs three periods and two samples to produce values. The EMA2, i.e., EMA(EMA) is subtracted thrice from the previously triple EMA in order to remove the lag in the analysis model.

    You can follow the below-mentioned steps to calculate the TEMA - 

    1. Decide a particular period of analysis. This is the period that will be considered in the first EMA for analysis. If the period is short, i.e., 5 years, the prices will be tracked more closely by the EMA and more short-term trends will emerge from the analysis. If the period of analysis is long, i.e., 80 years, the price tracking will not be done very closely but instead long-term price trends will be highlighted. 

    2. After deciding the period, calculate the first EMA which is referred to as the EMA1.

    3. By using the same period of analysis, find out the EMA(EMA1), i.e., the exponential moving average of EMA1. If you use 10 periods of analysis while calculating EMA1, then use the same 10 periods for calculating EMA of EMA1. This becomes your EMA2.

    4. Then determine the EMA of EMA2 using the very same 10 periods of analysis as done previously. This becomes your EMA3.

    5. Substitute the values for all the EMAs into the formula to finally determine the triple exponential moving average.

    Why Is TEMA Essential in Trading?

    The TEMA supports traders and analysts by providing valuable information about stock price movements and fluctuations. In general, the TEMA responds to changes in prices quicker than parameters such as conventional EMA or MA because the lag time has been subtracted from TEMA calculation. Especially, the TEMA gives information about the below-mentioned points - 

    1. Direction of trend

      You can find out the direction of the market simply by viewing the slope of the TEMA line. A TEMA line with an upward pointing slope with the prices above the line indicates that the market is experiencing an upward trend. This points to the fact that the prices, in general, are increasing. On the contrary, a TEMA line with a downward slope with the prices below the line suggests that the market is experiencing a downtrend, i.e., prices are declining overall.

    2. Crossovers

      TEMA can also be used by traders as an indication of crossovers with a buy and sell recommendation. Whenever the price line crosses above the TEMA, it can suggest a strong bullish pattern, i.e., an upward trend in the near future. On the other hand, once the price line crosses below the TEMA, there is a strong indication of a downward trend coming in the near future. Traders can get a sense of when to buy and sell stocks based on these crossover signals.

    3. Resistance and support

      TEMA can also help analysts and trends determine the support and resistance levels for stocks. The price line shows dynamic resistance and support levels. Whenever the price touches the moving average, a rebound is expected from that level. If the line signal breaks, then it could be an indication of a reversal of trend.

    TEMA vs. Other Moving Averages

    Following are the differences between the triple exponential moving average and the double exponential moving average: 

     

    TEMA

    DEMA

    Computation

    The EMA calculation is applied thrice. Essentially, it is EMA(EMA(EMA)). So, three levels of exponential smoothing are applied.

    The EMA calculation is applied twice and it is EMA(EMA). Here, two levels of exponential smoothing are applied.

    Lag time decrease

    Usually has lesser lag because the EMA2 is subtracted thrice from 3 x EMA1

    Usually has more lag than the TEMA because the EMA2 is subtracted once 2 x EMA1

    Price responsiveness

    More responsive to changes in price

    Less responsive to changes in price

    Generation of price signals

    Earlier than DEMA

    Later than DEMA

    Smoothness of indicator

    Less smooth than the DEMA.

    More smooth than the DEMA

    TIme duration of fluctuations

    Helps filter out long-term fluctuations

    Helps filter out short-term fluctuations

    Applicability

    More suitable for short-term markets with high market volatility

    More suitable for medium-term markets with medium volatility

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    Published Date : 03 Apr 2026

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