# Average True Range (ATR)

## Definition: Average True Range (ATR)

The Average True Range (ATR) is a tool used in technical analysis to measure volatility.

Unlike many of today’s popular indicators, the ATR is not used to indicate the direction of price. Rather, it is a metric used solely to measure volatility, especially volatility caused by price gaps or limit moves.

#### History

J. Welles Wilder created the ATR and featured it in his book New Concepts in Technical Trading Systems. The book was published in 1978 and also featured several of his now classic indicators such as; The Relative Strength Index, Average Directional Index and the Parabolic SAR. Much like the indicators mentioned, the ATR is still widely used and has great importance in the world of technical analysis.

#### Calculation

To calculate the ATR, the True Range first needs to be discovered. True Range takes into account the most current period high/low range as well as the previous period close if necessary. There are three calculation which need to be completed and then compared against each other. The True Range is the largest of the following:

```The Current Period High minus (-) Current Period Low
The Absolute Value (abs) of the Current Period High minus (-) The Previous Period Close
The Absolute Value (abs) of the Current Period Low minus (-) The Previous Period Close```
`true range = max[(high - low), abs(high - previous close), abs (low - previous close)]`

*Absolute Value is used because the ATR does not measure price direction, only volatility. Therefore there should be no negative numbers. *Once you have the True Range, the Average True Range can be plotted. The ATR is an Exponential Moving Average of the True Range.

#### The basics

Average True Range is a continuously plotted line usually kept below the main price chart window. The way to interpret the Average True Range is that the higher the ATR value, then the higher the level of volatility.

• The look back period to use for the ATR is at the trader’s discretion however 14 days is the most common.
• ATR can be used with varying periods (daily, weekly, intraday etc.) however daily is typically the period used.

### Summary

ATR is a nice chart analysis tool for keeping an eye on volatility which is a variable that is always important in charting or investing. It is a good option when trying to gauge the overall strength of a move or for discovering a trading range. That being said, it is an indicator which is best used as a compliment to more price direction driven indicators. Once a move has begun, the ATR can add a level of confidence (or lack there of) in that move which can be rather beneficial.