What is a moving average? Simple and exponential averages explained

By SendPay Business · · 2 min read

What is a moving average? Simple and exponential averages explained

A moving average is the average price over a set number of recent periods, recalculated as each new price arrives. It smooths out day-to-day noise so the overall direction of a price is easier to see.

Simple moving average (SMA)Exponential moving average (EMA)How charts use them

Simple moving average (SMA)

Add up the last N closing prices and divide by N. A 20-day SMA is the average of the last 20 daily closes; tomorrow the oldest drops out and the newest comes in, so the line moves along with the price.

Exponential moving average (EMA)

An EMA gives more weight to recent prices, so it reacts faster. Each day it takes the new close times a weight k, plus the previous EMA times (1 − k), where k = 2 ÷ (N + 1). It is usually started from an SMA.

How charts use them

  1. To show the trend: price above a rising average suggests an uptrend.
  2. Crossovers: some watch for a short average crossing a long one, such as the 50-day and 200-day.
  3. As a base for other tools, such as Bollinger Bands and MACD.

The limits

Moving averages lag, because they are built from past prices. Longer averages are smoother but slower, shorter ones are quicker but give more false signals. They describe what prices have done, not what they will do.

Where SendPay fits

SendPay doesn't offer trading. SendPay platforms let your customers hold GBP, EUR and USD and exchange between them at a fee you set, alongside transfers and branded Visa cards, powered by licensed partners.

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Questions people ask

How do I work out a moving average?

Paste prices into the free calculator for SMA and EMA.

Moving average calculator →
What are Bollinger Bands?

Bands around a moving average that widen with volatility.

Bollinger Bands →
What is RSI?

An indicator of how strongly a price has been rising or falling.

What is RSI? →
What is a candlestick chart?

How charts show each period's open, high, low and close.

Candlestick charts →

Read next

This guide is general information, not legal or financial advice. SendPay Business is a technology company, not a bank, and does not take deposits; regulated services on the platforms are provided by licensed partners. PayPal, Patreon and Substack are named as reference points only and are not affiliated with SendPay Business.