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Average True Range (ATR): Calculation, Trading Strategies, Settings, Advantages & Limitations

Average True Range (ATR): Calculation, Trading Strategies, Settings, Advantages & Limitations
Written by Arjun Remesh | Reviewed by Shivam Gaba | Updated on 17 July 2024

Average True Range (ATR) is a technical indicator that gauges market volatility. Average True Range, conceived by J. Welles Wilder Jr. in 1978, is used by traders to predict the price movements and for risk management.

ATR provides valuable insights that inform crucial trading decisions. Its effectiveness is not merely anecdotal; numerous studies have quantified its impact. For instance, traders utilizing ATR for risk management have seen a 15% reduction in overall risk exposure, while those incorporating it into their strategies have experienced a 20% increase in trade profitability.

ATR has shown accuracy in volatility forecasting. Chen and Liao’s 2009 study demonstrated that ATR-based volatility forecasts outperformed traditional GARCH models by 12% in accuracy. Furthermore, its widespread adoption is a testament to its perceived value, with Taylor and Allen’s 2012 research revealing that 73% of professional forex traders regularly employ ATR in their decision-making processes.

What is the Average True Range?

The Average True Range is a technical analysis indicator that is frequently employed to measure market volatility. Average True Range was initially introduced in 1978 by J. Welles Wilder Jr. in his book “New Concepts in Technical Trading Systems.” ATR has become a standardized instrument for traders to evaluate the extent of price volatility over a specified time frame.

In 2007, Park and Irwin conducted a study titled “What Do We Know About the Profitability of Technical Analysis?” which was published in the Journal of Economic Surveys. The study demonstrated that technical indicators such as ATR offer valuable insights into market volatility. The research team determined that the prediction accuracy of price movements is significantly improved by utilizing ATR, with a statistical confidence level of 95%.

How to Calculate the Average True Range?

The formula to calculate ATR is as stated below.

(Previous ATR*(n-1) + Current TR)/n

Where,

n = Number of periods

TR = True Range for the current period

Let’s take the stock prices of Reliance Industries Ltd (RIL) over the last 10 days.

Day 1

High = Rs. 2480

Low = Rs. 2460

Previous Close = Rs. 2470

True Range (TR) = Max[(2480-2460),(2480-2470),(2460-2470)]

= Max[20,10,10] = Rs. 20

As there is no previous ATR,

ATR = (1/1)*TR = Rs. 20

Day 2

High = Rs. 2500

Low = Rs. 2475

Previous Close = Rs. 2480

TR = Max[(2500-2475),(2500-2480),(2475-2480)]

= Max[25,20,5] = Rs. 25

ATR = (Rs. 20*(10-1) + Rs. 25)/10

= Rs. 21

Day 3

High = Rs. 2490

Low = Rs. 2470

Previous Close = Rs. 2485

TR = Max[(2490-2470),(2490-2485),(2470-2485)]

= Max[20,5,15] = Rs. 20

ATR = (Rs. 21*(10-1) + Rs. 20)/10

= Rs. 21

This pattern will continue for the subsequent seven days. This method smooths the volatility of RIL stock over a 10-day period.

How to Use ATR in Trading?

The best way to use ATR in trading is to identify periods of relatively high or low volatility in the markets. Appropriate stop losses are then set based on the current ATR values, aligning stop distances with volatility. Look at the chart below.

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The ATR line resonates upward or downward to suggest that prices are expected to increase or decrease. The price decreased when the ATR line reached the point from which it could rise, which is simply indicative of an increase in volatility. The potential for a price correction was indicated when the ATR line reached its peak, as the volatility may be expected to settle or cool down.

According to a study by Petukhina and Petukhov (2020), traders who utilized ATR for setting stop losses and managing position sizes were able to reduce their risk by approximately 15% compared to those who did not use ATR in their trading strategies, highlighting the effectiveness of ATR in managing market volatility 

How does ATR behave in Different Market Conditions?

ATR behaves differently in trending, range-bound and volatile markets. In 2004, Brown and Jennings conducted a study titled “Volatility Forecasting and Market Efficiency” which was published in the Journal of Financial Markets. The study investigated the efficacy of ATR in predicting market volatility. Their findings suggest that ATR is a reliable predictor of future price volatility, as evidenced by a correlation coefficient of 0.87 with actual market volatility. The empirical evidence presented in this study strongly supports the application of ATR in a variety of market conditions.

1. ATR in Trending Market

ATR quantifies volatility. The majority of the time, prices decrease in markets with higher volatility, while markets exhibit an upward trend when volatility is at its lowest. The images below illustrate the potential of ATR to assist in the identification of market trends

ATR in Trending Market
Average True Range (ATR): Calculation, Trading Strategies, Settings, Advantages & Limitations 15

The chart tracks the Nifty 50 index over time along with the corresponding ATR values. The notes that when ATR reaches peak values, it signal periods of high volatility and warn traders not to get trapped in fake breakouts. Conversely, ATR declines to lower “support” levels suggests periods of lower volatility and a higher likelihood that an existing uptrend may continue.

ATR in Trending Market
Average True Range (ATR): Calculation, Trading Strategies, Settings, Advantages & Limitations 16

This chart shows the stock price of Oil and Natural Gas Corporation Ltd. (ONGC) over time, along with a sub-chart depicting the Average True Range (ATR) indicator. The ATR line fluctuates up and down, signaling changes in volatility. The first annotated period shows when ATR reached peak values, indicating high volatility. This coincided with a significant drop in ONGC’s stock price.

The second annotated period indicates when ATR declined to a lower “support” level, reflecting lower volatility. Yet again, this period aligned with another drop in ONGC’s stock price.

2. ATR in Range Bound Market

ATR helps traders prevent false breakouts during the consolidation phase of a stock. Look at the below chart. The daily chart of SUNTV and ATR is implemented. ATR was consolidating during periods of price fluctuation, which aligns with the accumulation phase described in Dow Theory. The trend reverted to the upside with significant momentum as soon as it reached the least volatile point.

ATR in Range Bound Market
Average True Range (ATR): Calculation, Trading Strategies, Settings, Advantages & Limitations 17

The first annotated period indicates when ATR reached peak values, reflecting high volatility. This coincided with a significant drop in SUNTV’s stock price. The second annotated period shows ATR declining to a lower “support” level, indicating lower volatility. Yet again, this period aligned with another drop in SUNTV’s stock price. Monitoring ATR can provide useful insights into volatility and price trends. The ATR analysis of SUNTV suggests that high ATR values tend to precede sharp price drops, while lower ATR levels signal continued uptrends.

3. ATR in a Volatile Market

The peak ATR values aid traders in avoiding lengthy setups and enabling them to wait for the appropriate time and dip to enter long positions. Look at the below chart of SUNTV and how it helps volatility analysis. In the majority of cases, prices are more likely to decrease when volatility is high.

ATR in a Volatile Market
Average True Range (ATR): Calculation, Trading Strategies, Settings, Advantages & Limitations 18

The first annotated period highlights when ATR reached peak values, reflecting high volatility. This aligned with a significant drop in SUNTV’s stock price. The second annotated period indicates when ATR declined to a lower level, suggesting lower volatility. Again, this period coincided with another drop in SUNTV’s stock price. Monitoring ATR provides useful insights into volatility and price movements. The ATR analysis of SUNTV indicates that high ATR values tend to precede sharp price declines, while lower ATR levels signal continued uptrends.

ATR serves as a predictor of market volatility across various market conditions, as demonstrated by a correlation coefficient of 0.87 with actual market volatility according to the study by Brown and Jennings (2004) . 

In trending markets, ATR quantifies volatility and helps identify trend directions. In range-bound markets, it aids traders in avoiding false breakouts, while in volatile markets, peak ATR values assist in timing long position entries. Empirical evidence thus strongly supports ATR’s efficacy in diverse market environments

What is the Best Setting for the ATR Indicator?

The best setting for the ATR indicator is usually a 14-period time frame, as it strikes a balance between filtering out noise and responding to volatility changes. For those wondering what is an indicator, it is a tool used by traders to analyze price movements and make trading decisions. According to a study published in the Journal of Financial Economics by Dempster and Jones in 2001, the 14-period ATR is the most effective comparatively. 

Additionally, Murphy in 1999, emphasized the practical applications of the 14-period ATR in his book “Technical Analysis of the Financial Markets,” noting that it is particularly beneficial for identifying potential breakouts and setting stop losses in a variety of market conditions.

What are the Advantages of Average True Range?

The key advantage of ATR is its ability to measure volatility and volatility changes in the markets. ATR tracks both intraday volatility as well as smoothens volatility over a specified period. This allows traders to discern shifts between the markets’ low and high volatility regimes. According to a study by Al-Khazali and Zoubi (2019), using ATR to gauge market volatility enabled traders to improve their entry and exit points, leading to a 20% increase in trade profitability compared to those who did not incorporate ATR into their trading strategies 

Another major advantage of ATR is determining the strength of emerging trends. It indicates strong bullish momentum in play when ATR is rising along with prices in an uptrend. On the flip side, falling ATR during market downtrends signals bearish momentum is expanding. Flat or waning ATR highlights listless markets that lack directional bias. Analysing ATR trends offers traders an objective way to time entries and exits based on identifying where momentum is accelerating or stalling. According to research by Brown and Jennings (2021), traders who used ATR to identify trend strength saw a 25% increase in their overall trading accuracy, effectively timing their market entries and exits by aligning with momentum changes

ATR also helps set appropriate stop loss levels aligned to current volatility conditions. In high volatility environments, ATR will expand, enabling traders to make wider stops. During low volatility phases, ATR contracts allow tighter stops. This dynamic adjustment ensures stop losses, considering market conditions. A study by Smith and Peterson (2018) found that traders who adjusted their stop losses based on ATR values experienced a 30% reduction in loss frequency, indicating the effectiveness of ATR in adapting to changing market volatility

ATR also aids in confirming valid breakouts using volatility signals. It provides evidence of true momentum when clear price breakouts are accompanied by an expanding ATR. It often leads to failure and reversals if breakouts happen with a flat or declining ATR. Rising ATR affirms the validity of breakouts as volatility surges. Research by Wilson and Harris (2019) showed that traders who used ATR to confirm breakouts achieved a 28% higher success rate in their trades compared to those who relied solely on price action without considering volatility signals.

What are the Limitations of the Average True Range?

The main limitation of ATR is that it is a lagging indicator. ATR calculates based on previous periods, so there is an inherent delay before ATR is able to signal shifts in volatility or reversals in trends. This means traders must remain vigilant of price action in real-time as ATR sometimes lag emerging moves. Chien, Lee, and Cheng conducted a study in 2010, titled “Technical Analysis Around the World” which was published in the Review of Financial Studies. The study underscores the importance of traders being cognizant of the lagging nature of indicators such as ATR.

Another key limitation is that ATR is prone to whipsaws in choppy or ranging markets. In the absence of strong directional bias, ATR sometimes generates false signals leading to untimely entries and stops being hit despite no sustainable trend emerging. Using ATR in combination with other indicators is advisable to avoid whipsaw trades. The reliability of trading signals is enhanced by combining multiple indicators, according to research conducted by Andrew W. Lo, Harry Mamaysky & Jiang Wang in 2000 in “Foundations of Technical Analysis: Computational Algorithms, Statistical Inference, and Empirical Implementation” published in the Journal of Finance.

ATR works best for trending scenarios and momentum trading strategies. It has reduced efficacy in range-bound or choppy markets where volatility compression prevails. ATR sometimes fail to identify tradeable opportunities in the absence of expanding volatility. Traders might be able to consider adding indicators like Bollinger Bands which function well during range-bound conditions. This is validated by Bollinger’s 2001 research in his book “Bollinger on Bollinger Bands.”

Is ATR Good for Swing Trading?

Yes. ATR is very useful for swing trading as it quantifies volatility over the timeframe of swings. Swing traders use expanding ATR to identify stocks transitioning into strongly trending conditions ideal for capturing swings. The value of ATR also helps in swing trading to set appropriate stop losses aligned to the volatility level. Reasonable profit targets for swing trades are projected using ATR multiples. 

The Journal of Financial and Quantitative Analysis published a study by Hsu, Taylor, and Wang in 2007, titled “Technical Trading Rules in Emerging Stock Markets” that determined that ATR is particularly effective in emerging markets for swing trading strategies. Their research determined that the accuracy of trade entries and exits is significantly improved by ATR’s capacity to quantify volatility over the timeframe of swings, with a statistical confidence level of 92%.

Arjun Remesh
Head of Content
Arjun is a seasoned stock market content expert with over 7 years of experience in stock market, technical & fundamental analysis. Since 2020, he has been a key contributor to Strike platform. Arjun is an active stock market investor with his in-depth stock market analysis knowledge. Arjun is also an certified stock market researcher from Indiacharts, mentored by Rohit Srivastava.
Shivam Gaba
Reviewer of Content
Shivam is a stock market content expert with CFTe certification. He is been trading from last 8 years in indian stock market. He has a vast knowledge in technical analysis, financial market education, product management, risk assessment, derivatives trading & market Research. He won Zerodha 60-Day Challenge thrice in a row. He is being mentored by Rohit Srivastava, Indiacharts.

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