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Exponential Moving Average Calculator

Paste your values and a period to compute the exponential moving average.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

The exponential moving average weights recent data points more heavily than older ones using the recursive formula EMA_t = price_t × k + EMA_{t−1} × (1 − k), where the smoothing factor k = 2 ÷ (period + 1). A shorter period pushes k closer to 1, making the EMA react quickly to recent changes; a longer period smooths more and lags further behind, unlike a simple moving average that weights every point in the window equally.

Stock and crypto traders use EMAs (commonly the 12- and 26-period EMAs that feed into MACD) as core technical-analysis tools for spotting trend direction and momentum shifts, while algorithmic trading systems use the same recursive formula because it only needs the previous EMA value to update, making it cheap to compute on streaming price data.

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