What Should Traders Know?
- Meaning: Price movement, rather than direction, is what ATR captures. It calculates the average true range for a selected period and expresses it in price units.
- Calculation: Of three measurements, the largest becomes the true range; on gap days, the previous close determines which measurement applies. Under Wilder's smoothing, the latest bar receives a weight of 1/14.
- Interpreting readings: Expanding ranges push ATR higher, while contracting ranges pull it lower. Comparing assets requires normalising ATR as a percentage of price, rather than using the raw reading.
- Practical use: After setting a stop at a multiple of ATR away from entry, divide the risk budget by that distance to determine position size.
What Does Average True Range (ATR) Measure?
The extent of price movement, not its direction, is captured by ATR: the average distance travelled per bar during a defined period, stated in the instrument's own price units.
Markets with price gaps were the reason Wilder developed this measure. Commodities can open well above or below the previous close, yet a calculation based solely on the current high and low misses that jump entirely. By using the previous close as an additional reference, true range captures the wider movement, which ATR then averages.
A rally and a sell-off of the same magnitude generate identical readings because the calculation takes absolute values. ATR therefore describes past movement and is a lagging measure, usually used alongside a tool that assesses price direction.
How Is the Average True Range Formula Calculated?
To capture the full distance travelled on each bar, including a jump from the previous close, Wilder required a single measurement. True range supplies it by taking the largest of three values; ATR then smooths those readings over the selected period.
Step 1: Find the Largest True Range Measurement
For each bar, compare three figures: the current high less the current low, the absolute difference between the current high and the previous close, and the absolute difference between the current low and the previous close. The largest is the true range. An absolute value records distance without a positive or negative sign, reflecting Wilder's focus on the extent, rather than the direction, of movement.
The bar's shape determines which of these measurements is largest:
- If the previous close lies within the current bar's range, the difference between high and low is greatest.
- With an upward gap, the current low is above the previous close, making the high-minus-previous-close measurement the largest.
- With a downward gap, the current high is below the previous close, so the absolute low-minus-previous-close measurement is largest.
A shorter way to express the same calculation is to take the greater of the high and the previous close, then subtract the lesser of the low and the previous close. This version is simpler to implement in a spreadsheet.
Step 2: Establish the Initial ATR With a Simple Average
Without an earlier ATR to draw on, the initial reading uses the arithmetic average of the first 14 true range measurements. Wilder's smoothing formula does not produce this first value; instead, it provides the base for all subsequent readings.
Step 3: Apply Wilder's Smoothing to Later Readings
For each later reading, Wilder's smoothing takes the previous ATR multiplied by 13, adds the latest true range and divides the sum by 14.
TR = max( High - Low, |High - Previous Close|, |Low - Previous Close| )
ATR = ( (Previous ATR x 13) + Current TR ) / 14
Rather than being arbitrary constants, 13 and 14 determine the weighting. The latest bar accounts for 1/14 of the updated reading; the full preceding history accounts for the other 13/14. This weighting both smooths the line and explains mechanically why ATR lags.
How Does ATR Work Across 15 Bars and Two Gap Days?
An illustrative daily price series below lists every true range, introduces the first ATR at bar 14 and applies smoothing at bar 15. With no previous close available for bar 1, its true range is simply 102.00 less 99.00. The first gap occurs at bar 2: although the bar itself spans 2.00, its previous close of 100.50 is below the low of 101.00. The high-minus-previous-close calculation therefore supplies the larger value, 2.50. Using only high minus low would have returned 2.00.
| Bar | High | Low | Prior close | True range | ATR |
|---|---|---|---|---|---|
| 1 | 102.00 | 99.00 | Not available | 3.00 | |
| 2 | 103.00 | 101.00 | 100.50 | 2.50 | |
| 3 | 104.00 | 101.50 | 102.00 | 2.50 | |
| 4 | 105.00 | 102.00 | 103.00 | 3.00 | |
| 5 | 106.00 | 103.00 | 104.00 | 3.00 | |
| 6 | 103.00 | 99.50 | 105.00 | 5.50 | |
| 7 | 101.00 | 98.00 | 100.00 | 3.00 | |
| 8 | 100.00 | 96.00 | 99.00 | 4.00 | |
| 9 | 97.00 | 94.00 | 96.50 | 3.00 | |
| 10 | 98.00 | 95.00 | 95.00 | 3.00 | |
| 11 | 99.50 | 96.00 | 97.00 | 3.50 | |
| 12 | 104.00 | 98.50 | 99.00 | 5.50 | |
| 13 | 105.00 | 102.00 | 103.00 | 3.00 | |
| 14 | 106.00 | 103.00 | 104.00 | 3.00 | 3.39 |
| 15 | 107.00 | 104.00 | 105.50 | 3.00 | 3.36 |
The gap is most evident at bar 6. Following a close of 105.00, the next bar trades entirely lower, between 99.50 and 103.00. Its absolute low-minus-previous-close measurement is therefore 5.50, compared with a high-low range of 3.50. Bar 12 illustrates the contrasting case: despite a broad range of 5.50, its previous close of 99.00 falls within that range, leaving high minus low as the largest measurement.
Adding the true ranges for bars 1 to 14 produces 47.50; dividing by 14 gives the initial ATR of 3.39. Smoothing then applies at bar 15: multiplying 3.39 by 13 gives 44.11, adding the latest true range of 3.00 brings the total to 47.11, and dividing by 14 produces 3.36.
What Do Average True Range Readings Mean?
What Do ATR Levels and Changes Reveal?
The current average range is shown by ATR's absolute reading. For an instrument priced at 100 dollars, an ATR of 3.39 indicates that recent bars have had an average range of about 3.39.
Whether volatility is strengthening or easing is reflected in the line's slope. The beginning of a directional move often coincides with expanding ranges, while consolidation often comes with contraction. ATR climbs rapidly in volatile conditions; when markets are quieter, low readings can remain in place for weeks.
Why Can Raw ATR Readings Not Be Compared Across Assets?
Since ATR uses price units, its scale changes with the asset's price. A stock priced around 25 dollars will generally have a far lower ATR than one priced around 250 dollars, even if their percentage movements are similar. Likewise, a stock falling from 70 to 20 will have differently scaled ATR readings before and after the fall, making the historical series difficult to interpret as a continuous measure.
How Does ATR% Make Volatility Comparable?
To compare price volatility between instruments or across time, divide ATR by price to turn the raw reading into a percentage. Here, the calculation uses ATR divided by the closing price and multiplied by 100. A consistently applied convention is sufficient: the aim is relative comparison, not an absolute benchmark.
| Instrument | Price | ATR | ATR as a Percentage of Price |
|---|---|---|---|
| Nvidia | 115.74 | 7.20 | 6.2% |
| Johnson & Johnson | 162.84 | 2.73 | 1.7% |
| S&P 500 index | 5,614.56 | 100.34 | 1.8% |
Charles Schwab published these figures in April 2025, reflecting prices from late March 2025. The percentages have been rounded.
What raw ATR leaves unanswered becomes clear in the table. Nvidia's reading of 7.20 equals 6.2 percent of its price, indicating movement of roughly six percent of its value during an average session. That represents a different volatility environment from the second row's 1.7 percent. Cross-instrument volatility assessment therefore needs the proportional reading rather than the absolute figure.
How Do Average True Range Bands Form Volatility Channels?
ATR bands is not the name of one universally standardised indicator. Typically, it means bands positioned at a specified ATR multiple on either side of a moving average, the approach used to construct Keltner Channels.
What Is Usually Meant by "ATR Bands"?
Adding an ATR multiple to a price moving average creates the upper band; subtracting it creates the lower band. One common setup combines a 20-period moving average with a 2x ATR multiplier, although platform defaults vary.
Band width depends on the multiplier. Increasing it makes the bands less likely to be reached by price; reducing it leads to more frequent crossings. High volatility also widens the bands, even when the period setting stays unchanged.
How Do ATR Bands Differ From Bollinger Bands?
Although both place volatility envelopes around a moving average, different inputs determine their width.
| Feature | ATR bands (using Keltner construction) | Bollinger Bands |
|---|---|---|
| Basis for width | Mean bar range, with gaps included | Closing-price standard deviation |
| Gap response | Yes, captured by true range | No, only closes are used |
| Common applications | Following trends, breakouts and trailing references | Identifying squeezes and mean reversion |
In practice, this changes how the bands respond. Because true range includes gaps, an ATR band expands immediately after one occurs. A Bollinger Band based only on closing prices responds differently. Neither provides a signal about direction.
How Can ATR Fit Into a Trading Strategy?
Risk sizing, not entry generation, is ATR's role. Once a stop has been set at an ATR multiple away from entry, dividing the risk budget by that distance determines the position size.
Where Should an ATR Stop-Loss Be Placed?
Placing a stop at a selected multiple of current ATR from entry makes its distance responsive to volatility. As ATR reflects average range rather than support or resistance, the resulting stop can appear arbitrary on a chart while remaining proportionate to the instrument's recent trading behaviour.
Take the earlier example's ATR of 3.39 and an entry price of 100.00. The stop levels are 96.61 for 1x ATR, 93.22 for 2x and 89.83 for 3x. How much ordinary price fluctuation the position can withstand before closure depends on the chosen multiplier.
How Is ATR-Based Position Size Calculated?
Position size comes from dividing the risk budget by the stop distance, with an adjustment for the instrument's point value.
Position size = Risk budget / (ATR x Multiplier x Point value)
Shares have a point value of 1. Suppose equity is 50,000 and the risk allowance is 1 percent, or 500. An ATR of 3.39 with a 2x multiplier gives a stop distance of 6.78. Dividing 500 by 6.78 and rounding down produces a position of 73 shares.
Now consider a futures contract whose hypothetical point value is 50. Multiplying the same 6.78 stop distance by 50 gives risk of 339 per contract. A budget of 500 supports 1.47 contracts, which means one contract.
Obtain the point value from the contract specification for the instrument; the indicator does not supply it.
Which Multiplier Fits: 1x, 1.5x, 2x or 3x?
No multiplier is inherently optimal. With the risk budget held constant, each setting balances position size against how frequently stops are triggered.
| ATR multiplier Distance to stop (ATR 3.39) Stop level for entry at 100.00 Share quantity risking 1% of 50,000 Sensitivity to stop-outs |
|---|
| ATR multiplier | Distance to stop | Stop level |
|---|---|---|
| 1x | 3.39 | 96.61 |
| 1.5x | 5.09 | 94.91 |
| 2x | 6.78 | 93.22 |
| 3x | 10.17 | 89.83 |
A consistent trade-off emerges: widening the stop lowers the likelihood of closure from normal fluctuations, but also lowers the position size affordable within the same risk budget. These results follow from arithmetic, not backtesting. Without a defined test, no multiplier can be called superior. Both the multiplier and risk budget should be specified in the trading plan before entry.
How Do ATR Trailing Stops Adjust?
As ATR changes, a trailing stop is recalculated, allowing the exit level to track volatility as well as price. With a multiplier of 2, an ATR increase from 3.39 to 4.20 expands the stop distance from 6.78 to 8.40. As with fixed ATR stops, the trade-off is additional room during a volatile rise but a larger portion of gains surrendered when price reverses.
What Can ATR Reveal About Breakouts and Consolidation?
When ATR expands alongside a price breakout, the widening average range as price exits its earlier range suggests conviction in the move. When price moves sideways and ATR contracts, the reading describes consolidation. Neither establishes direction, nor does ATR locate support and resistance.
Which ATR Period and Timeframe Should You Choose?
How Do Short and Long Periods Compare?
Giving greater weight to recent bars makes a short period respond more quickly. The trade-off is a noisier line and a stop distance that shifts on almost every bar.
Long periods respond more slowly and produce a smoother line, potentially describing a volatility environment that is already over. Periods of 2 to 10 are suitable for recent volatility, while 20 to 50 reflect longer-term volatility; these ranges indicate responsiveness, not accuracy. Trading style, rather than the chart's default setting, should determine the choice.
How Should the ATR Period Match the Chart Timeframe?
Because periods count chart bars, an identical setting spans very different lengths of time across chart timeframes.
| Chart interval | Common period setting | Time span | Principal limitation |
|---|---|---|---|
| 5-minute | 14 | Roughly 70 minutes | Responds to intraday noise |
| 15-minute | 14 | Roughly 3.5 hours | Session noise remains dominant |
| Hourly | 14 | Roughly 14 hours | Does not capture multi-session structure |
| Daily | 14 | 14 sessions | Reflects regime shifts slowly |
| Weekly | 14 | 14 weeks | Extremely slow; suited only to long horizons |
Beyond the shared setting, a 14-period ATR on a 5-minute chart has nothing in common with a 14-period ATR on a daily chart. One describes the past hour; the other describes the past three weeks.
Finding the settings is essential to using them, and this is where platforms differ.
How Do You Set Up ATR on MT4/MT5?
MetaTrader 4 and MetaTrader 5 both include Average True Range as a built-in indicator, set to a period of 14 by default. Find it under Insert, followed by Indicators and then Oscillators.
- Choose the chart: Start by selecting the instrument and timeframe, as the bars on that chart determine the ATR period.
- Add Average True Range: Navigate through Insert, Indicators and Oscillators to Average True Range. Alternatively, press Ctrl+N to access the same list in the Navigator panel.
- Choose the period: It starts at 14. Adjust it only when the holding period differs from the default, and use a consistent value for all comparisons on that chart.
- Confirm the display: Select OK and drag the ATR line to its own subwindow to avoid compressing the price scale.
Where Can ATR Mislead Traders?
As a measure of historical range, ATR is backward-looking. It provides no direction signal, and its raw reading is unsuitable for comparisons between assets.
- Direction is absent. Equal-sized upward and downward moves return the same reading because the calculation uses absolute values.
- Lag is built in. Just 1/14 of each updated reading comes from the latest bar. A gap therefore appears immediately in true range but filters into the average progressively.
- Raw values cannot compare assets. With readings expressed in price units, a 250 dollar instrument generally records a higher ATR than a 25 dollar instrument showing similar percentage volatility.
- Structural changes disrupt comparability. Earlier readings may no longer be comparable with current ATR after a split, a substantial price adjustment or a sustained trend that reprices the instrument.
One misconception needs explicit clarification: ATR is not a gauge of trend strength, despite sometimes being labelled as one. It measures the magnitude of price movement. Wide ranges may occur with a trend, against it or without any direction at all. Nor does ATR alone manage risk effectively. It provides only one input; other elements must supply the remainder of the risk framework.
How Does ATR Compare With Other Volatility Measures?
Different inputs and different questions distinguish ATR, standard deviation, Bollinger Bands, Keltner Channels and the VIX, even though all describe volatility.
| Indicator | Underlying input | Measurement unit | What it answers |
|---|---|---|---|
| ATR | Highs, lows and previous closes across N periods | Units of price | What is the average bar's range? |
| Standard deviation | Returns between successive closes | Percentage or units of price | How widely spread are returns? |
| Bollinger Bands | A moving average with a multiple of closing-price dispersion added or subtracted | Units of price | How does price sit relative to its own dispersion? |
| Keltner Channel | A moving average with an ATR multiple added or subtracted | Units of price | How does price sit relative to its average range? |
| VIX | S&P 500 options pricing | Percentage points, annualised | What are the options market's volatility expectations? |
Realised versus implied volatility is the key distinction. Past movement underlies ATR, standard deviation, Bollinger Bands and Keltner Channels; expectations embedded in option prices underlie the VIX. A constant shift in historical prices also leaves ATR unchanged, making it useful for back-adjusted futures series.
Directional and momentum indicators serve a different purpose from ATR too. The relative strength index retains directional information that ATR intentionally excludes, while a moving average or the average directional index is designed to address trend-related questions. ATR answers how much; a directional or momentum tool answers which way.
What Else Should You Know About Average True Range?
What information does Average True Range provide?
As a direct measure of market volatility, ATR expresses the average magnitude of price movement during a selected period in price units. Higher ATR indicates expanding ranges; lower ATR indicates contraction. The reading offers no information about direction.
How useful is ATR for day trading?
On intraday charts, ATR helps determine stop distances and position sizes rather than entry points. Short periods introduce noise, and the indicator works best when combined with a tool that assesses direction.
What does a distance of 2 ATR mean in trading?
A distance of two ATR equals double the current ATR reading. Setting a stop 2 ATR from entry places it two average ranges away. Compared with a 1 ATR stop, that allows more room for the trade but demands a smaller position under an unchanged risk budget.
How can ATR determine stop-loss and take-profit levels?
One widely used method sets the stop an ATR multiple below entry and the target at a further multiple, expressing both risk and reward in volatility terms. Choosing the multiplier still requires a judgement on risk tolerance and the intended holding period.
Which ATR period works best?
The appropriate period depends on the holding period, rather than a universally best setting. Wilder's default is 14; settings of 7 to 10 react more quickly, while 20 to 50 reflect a slower volatility regime.
Why do ATR readings differ between MT4 and TradingView?
Differences in smoothing, rounding and the amount of history loaded ahead of the first visible bar can produce small variations between platforms. Such differences are expected, so compare readings on the same platform instead of between two.
