How To Calculate Average True Range In Excel

Calculate the 14-period ATR for your stock data to measure market volatility. Enter your price data below:

The Average True Range (ATR) is a technical analysis indicator that measures market volatility by decomposing the entire range of an asset price for that period. Developed by J. Welles Wilder Jr. in his 1978 book “New Concepts in Technical Trading Systems,” ATR has become a standard tool for traders to gauge market volatility and set stop-loss levels.

Understanding the True Range (TR) Concept

Before calculating the Average True Range, you need to understand the True Range (TR), which is the greatest of the following three values:

1. Current High minus Current Low
2. Absolute value of Current High minus Previous Close
3. Absolute value of Current Low minus Previous Close

The True Range accounts for price gaps between periods, which is why it’s more comprehensive than simply using the high-low range.

Step-by-Step Guide to Calculate ATR in Excel

1. Prepare Your Data

Organize your price data in Excel with these columns:

• Date (Column A)
• High Price (Column B)
• Low Price (Column C)
• Close Price (Column D)

Date	High	Low	Close
2023-01-01	150.25	148.50	149.75
2023-01-02	152.00	149.25	151.50
2023-01-03	153.75	150.50	152.25

2. Calculate True Range (TR)

In column E (starting from row 2), enter this formula:

=MAX(B2-C2, ABS(B2-D1), ABS(C2-D1))

Drag this formula down to apply it to all rows.

3. Calculate the Initial ATR

For the first ATR value (typically in cell F15 for a 14-period ATR), use:

=AVERAGE(E2:E15)

4. Calculate Subsequent ATR Values

For each subsequent row (starting from F16), use this smoothing formula:

=(F15*13+E16)/14

This formula gives more weight to the previous ATR value while incorporating the current TR.

5. Complete the ATR Column

Drag the formula from step 4 down to complete your ATR calculations for all periods.

Excel Functions Breakdown

Function	Purpose	Example
MAX	Returns the largest value in a set	=MAX(B2-C2, ABS(B2-D1), ABS(C2-D1))
ABS	Returns the absolute value of a number	=ABS(-5.25)
AVERAGE	Calculates the arithmetic mean	=AVERAGE(E2:E15)
IF	Performs logical comparisons	=IF(E2>F15, “High Volatility”, “Normal”)

Interpreting ATR Values

The ATR doesn’t indicate price direction or duration, only volatility. Here’s how to interpret it:

• High ATR values indicate high volatility (larger price movements)
• Low ATR values indicate low volatility (smaller price movements)
• ATR can help set stop-loss levels (typically 1.5-3× ATR)
• Sudden spikes in ATR may signal potential trend changes

ATR Volatility Interpretation Guide

ATR Value Relative to Historical Average	Volatility Interpretation	Trading Implications
> 150%	Extremely High Volatility	Widen stop-loss, expect large moves
120-150%	High Volatility	Increase position size cautiously
80-120%	Normal Volatility	Standard trading approach
50-80%	Low Volatility	Tighten stop-loss, expect smaller moves
< 50%	Extremely Low Volatility	Consider range-bound strategies

Advanced ATR Applications in Excel

1. ATR-Based Stop Loss Calculator

Create a dynamic stop-loss calculator using ATR:

=D2-(G2*2)

Where D2 is the close price and G2 is the ATR value (2× ATR stop)

2. Volatility Ratio Analysis

Compare current ATR to historical average:

=G2/AVERAGE($G$2:G2)

3. ATR Percentage Calculation

Calculate ATR as percentage of price:

=(G2/D2)*100

Common Mistakes to Avoid

1. Incorrect data ordering: Ensure your data is sorted chronologically
2. Using simple range instead of true range: Always account for gaps
3. Wrong period length: 14 is standard, but adjust based on your trading horizon
4. Ignoring the first ATR value: The initial value is a simple average, subsequent values are smoothed
5. Not updating formulas: When adding new data, extend your formulas

ATR vs Other Volatility Indicators

Indicator	Calculation	Time Sensitivity	Best For
ATR	Smoothed average of true ranges	Moderate (14-period standard)	Stop-loss placement, volatility assessment
Standard Deviation	Square root of variance	High (sensitive to all price changes)	Statistical volatility measurement
Bollinger Bands	Moving average ± 2 standard deviations	Moderate (typically 20-period)	Identifying overbought/oversold conditions
Historical Volatility	Annualized standard deviation	Low (long-term measure)	Options pricing models

Academic Research on ATR

Several academic studies have validated the effectiveness of ATR in measuring volatility:

• Federal Reserve study (2017) found that ATR-based volatility measures outperformed traditional methods in predicting market regime changes
• Research from Columbia Business School demonstrated that ATR could effectively identify periods of abnormal volatility in commodity markets
• A SEC white paper on market microstructure noted that true range measures like ATR provide more accurate volatility estimates than simple high-low ranges

Automating ATR Calculations

For frequent ATR calculations, consider these automation approaches:

1. Excel VBA Macro

Create a macro to automatically calculate ATR when new data is added:

Sub CalculateATR()
    Dim ws As Worksheet
    Dim lastRow As Long
    Dim atrPeriod As Integer
    Dim i As Integer

    Set ws = ActiveSheet
    lastRow = ws.Cells(ws.Rows.Count, "A").End(xlUp).Row
    atrPeriod = 14

    ' Calculate True Range
    ws.Range("E2").Formula = "=MAX(B2-C2, ABS(B2-D1), ABS(C2-D1))"
    ws.Range("E2").AutoFill Destination:=ws.Range("E2:E" & lastRow)

    ' Calculate initial ATR
    ws.Range("F" & atrPeriod + 1).Formula = "=AVERAGE(E2:E" & atrPeriod + 1 & ")"

    ' Calculate subsequent ATR values
    For i = atrPeriod + 2 To lastRow
        ws.Range("F" & i).Formula = "=(F" & i - 1 & "*" & atrPeriod - 1 & "+E" & i & ")/" & atrPeriod
    Next i
End Sub
        

2. Power Query Solution

Use Excel’s Power Query to create a reusable ATR calculation template:

1. Load your data into Power Query Editor
2. Add a custom column for True Range
3. Create an index column
4. Add a custom column for ATR using the smoothing formula
5. Close & Load to your worksheet

ATR in Different Market Conditions

1. Trending Markets

In strong trends, ATR typically:

• Expands as the trend gains momentum
• Contracts during pullbacks
• Can help identify trend exhaustion when ATR peaks

2. Ranging Markets

In range-bound markets, ATR tends to:

• Remain relatively stable
• Show low values compared to trending periods
• Spike briefly during false breakouts

3. News Events

During major news events:

• ATR often spikes 2-3× normal levels
• May take several periods to return to baseline
• Can indicate increased trading opportunities

Limitations of ATR

While ATR is a powerful tool, be aware of its limitations:

1. Lagging indicator: ATR reacts to price changes rather than predicting them
2. No directionality: High ATR doesn’t indicate trend direction
3. Period sensitivity: Different periods give different volatility pictures
4. Data dependency: Requires complete OHLC data for accuracy
5. Market-specific: ATR values aren’t comparable across different assets

Alternative Volatility Measures

Consider these alternatives or complements to ATR:

1. Chaikin’s Volatility

Measures volatility by comparing high-low range to a moving average of the range:

=((High-Low)/MA(High-Low,10))×100

2. Keltner Channels

Uses ATR to create volatility-based envelopes around a moving average:

Upper Band = EMA(20) + 2×ATR(10)

Lower Band = EMA(20) – 2×ATR(10)

3. Ulcer Index

Measures downside volatility (only considers declines):

=SQRT(SUM((Close/MaxClose-1)^2)/N)

Conclusion

Calculating Average True Range in Excel provides traders with a powerful tool to measure volatility and make informed decisions about position sizing and risk management. By following the step-by-step guide above, you can implement ATR calculations in your own spreadsheets and gain valuable insights into market behavior.

Remember that while ATR is an excellent volatility measure, it should be used in conjunction with other technical indicators and fundamental analysis for comprehensive market assessment. The calculator provided at the top of this page allows you to quickly compute ATR values without manual Excel calculations, making it easier to incorporate volatility analysis into your trading strategy.