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Simple Moving Average / Exponential Moving Average Calculator

Math

Compute SMA and EMA series from a list of numbers and a window size, a foundational technical-indicator building block for price or volume data

Paste a series of numbers and a window size to get back the simple moving average (SMA) and exponential moving average (EMA) at every point, the two most common smoothing techniques for price, volume, or any other noisy series. SMA is the plain trailing average over the window; EMA is seeded from the first SMA value and then weights recent values more heavily using the standard 2/(window+1) multiplier, so it reacts faster to a change than SMA does. This is a natural sibling to the site's other finance calculators like ROI and Compound Interest, computing purely from numbers you supply with no live market-data feed involved.

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How to use Simple Moving Average / Exponential Moving Average Calculator

  • 1.Paste a series of numbers, comma or whitespace separated, such as a run of daily closing prices.
  • 2.Set the window size the moving averages should trail over; it must be a positive integer no larger than the series length.
  • 3.Read the SMA and EMA at every point in the table, plus the latest value of each summarized at the top.

Frequently asked questions

What's the difference between SMA and EMA?
SMA is a plain average of the trailing window, treating every value equally. EMA weights recent values more heavily using a smoothing multiplier, so it reacts faster to a recent change while SMA lags more but smooths out noise better.
Why is SMA null for the first few points?
SMA needs a full window of values before it can compute an average, so the first windowSize - 1 points have no SMA (or EMA, since EMA is seeded from the first SMA value) yet.
Does this pull live price data?
No, it only computes over the numbers you paste in. There's no live market-data feed or external API call involved.
Can I use this for something other than stock prices?
Yes, SMA and EMA are general-purpose smoothing techniques for any noisy numeric series, like server latency, website traffic, or sensor readings, not just financial price data.

Use via API, SDK, or MCP

cURL# Free: 1,000 req/day · Pro: 10,000 req/day
curl -X POST https://api.utilix.tech/v1/tools/moving-average-calculator \
  -H "Authorization: Bearer utx_live_..." \
  -H "Content-Type: application/json" \
  -d '{"values":[1,2,3,4,5,6],"windowSize":3}'

Get an API key from your dashboard · Full API docs →

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