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Calculators and Calculations
Home›Calculators and Calculations›How to Calculate Average True Range (ATR)

How to Calculate Average True Range (ATR)

By Matthew Lynch
October 15, 2023
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Introduction

Average True Range (ATR) is a technical analysis indicator developed by J. Welles Wilder Jr., which provides a measure of market volatility. Primarily used in commodity and forex markets, ATR helps to assess the degree of price fluctuations, making it essential for risk management and position sizing. In this article, we will discuss how to calculate ATR, its interpretation, and applications.

Step-by-step Guide for Calculating ATR

Step 1: Define the calculation period

The first step in calculating the ATR is to define the time frame you want to analyze. Traders often use a 14-day period for daily data, but you can customize it according to your preferences. The period will heavily influence the indicator’s sensitivity level.

Step 2: Calculate True Range (TR)

Next, you need to find the True Range for each day within your defined period. There are three calculations involved in determining the TR:

1. High minus low

2. High minus previous close

3. Previous close minus low

For each day, choose the highest value from these calculations for determining the True Range.

Step 3: Calculate the Average True Range

After computing the True Range for each day, calculate the average of these values over your defined period. It’s crucial to note that some traders use smoothed moving averages such as Exponential Moving Average (EMA) or Wilder’s Moving Average instead of Simple Moving Average (SMA) for a more accurate reflection of market conditions.

Interpretation and Applications of ATR

1. Volatility assessment: A higher ATR value indicates increased volatility while lower values suggest calmer price movements. However, it does not provide any information about price direction.

2. Stop loss placement: Traders often use ATR-based stop placements for better risk management. For example, a trailing stop may be maintained at a distance of twice the ATR value below the highest price reached by a security.

3. Position sizing: Risk-averse investors can use ATR to determine their position size relative to the instrument’s volatility. Generally, a lower ATR allows more considerable positions and vice versa.

4. Breakout confirmation: When the price surpasses prior highs amid an increasing ATR, it indicates a potential breakout. Conversely, decreasing ATR with price breaks demonstrate narrow range consolidations.

Conclusion

The Average True Range (ATR) is an essential tool for assessing market volatility and managing risks effectively in trading strategies. It helps traders understand price fluctuations and adjust their position sizing and stop loss placements accordingly. Mastering the use of ATR can lead to improved decision-making and facilitate more informed trading decisions.

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