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ATR Indicator: How It Works and Is Calculated
Summary
The Average True Range (ATR) measures the magnitude of price movements rather than trend direction. Learn how ATR is calculated and how traders use it to assess volatility and manage risk.
ATR
The Average True Range (ATR) is a popular indicator used in technical analysis to measure the degree of price movement volatility in a market over a specified period. It helps traders assess the market's volatility and determine potential price fluctuations. Unlike trend indicators, the ATR does not indicate the direction of the trend but focuses solely on the magnitude of price movements. It is particularly useful for setting stop-loss levels, identifying breakout points, and managing risk.
How is the ATR Calculated?
The ATR is based on the True Range (TR), which measures the range of price movement for a given period. The ATR is then calculated as the moving average of the True Range over a specified number of periods (commonly 14 days).
The True Range is the maximum of the following three values:
Current High - Current Low
Absolute (Current High - Previous Close)
Absolute (Current Low - Previous Close)
Average True Range (ATR):
ATR is the smoothed moving average of the True Range over a specified period:
ATR = (Previous ATR × (n - 1) + Current TR) / n
Where n is the number of periods (commonly 14).
Example
Reliance Industries
Step 1: Calculate the True Range (TR)
Assume the following:
Current High = ₹2500
Current Low = ₹2450
Previous Close = ₹2470
The True Range is the maximum of:
Current High - Current Low = ₹2500 - ₹2450 = ₹50
|Current High - Previous Close| = |₹2500 - ₹2470| = ₹30
|Current Low - Previous Close| = |₹2450 - ₹2470| = ₹20
TR = ₹50
Step 2: Calculate the ATR
Previous ATR = ₹45
Number of periods (n) = 14
Using the ATR formula:
ATR = (Previous ATR × (n - 1) + Current TR) / n
ATR = (₹45 × 13 + ₹50) / 14
ATR = (₹585 + ₹50) / 14
ATR = ₹635 / 14
ATR = ₹45.36
How to Interpret the ATR?
Volatility Measurement:
- A high ATR indicates high market volatility (large price movements).
- A low ATR indicates low market volatility (small price movements).
Risk Management:
ATR helps traders determine position sizing by assessing the market's volatility.
Higher ATR values may require smaller position sizes to manage risk effectively.
Key Points to Remember:
- ATR measures volatility, not trend direction.
- ATR is a lagging indicator because it is based on historical price data.
- ATR works well in all market conditions (trending or ranging) as it focuses on price movement magnitude.
- ATR does not provide buy or sell signals but is used in conjunction with other indicators or strategies.
- ATR is useful for setting stop-loss levels and managing risk in volatile markets.
- ATR values are relative to the asset's price. For example, a stock priced at ₹1000 will have a higher ATR than a stock priced at ₹100, even if both have similar volatility.