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Technical Analysis, Studies, Indicators:
Average True Range (ATR)


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The Average True Range (ATR) indicator has been developed by J. Welles Wilder as a measurement of a security's volatility in 1978. The ATR indicator does not reflect the price direction and is not used to predict price, yet this indicator is widely used in technical analysis to measure the degree of price movement or price volatility.

The idea behind ATR indicator is to take into account overnight trading when a security price could make a jump at the market open. In some cases a stock or commodity could have gap up or down at the market open, and then move flat the rest of the session. Since the difference between High and Low in this case is not big,  the candle of this bar is going to be small which will not reflect the actual jump in price from the precious day close. In order to more precisely reflect the volatility of an analyzed security Wilder offered using previous bar close price to capture gaps which would not be counted by a formula based on the high-low price range only.

The principles behind ATR calculations are simple and could be split in two steps:

Step #1: Define True Range (TR).

Step #2: Apply Moving average to defined TR.

The True Range is defined as the highest number from the following:

  • The difference between the current bar High and the current bar Low.
  • The absolute value of the difference between current bar High and the previous bar Close.
  • The absolute value of the difference between current bar Low and the previous bar Close.

In majority of the cases, the high-low range is the largest and is used in the TR and ATR calculations. Yet, for volatile securities (that have tendency to start trading with gap up or down at the market open) the previous day close would be used in the TR and ATR calculations. The TR value is always positive and absolute value should be used in a situation when previous bar close is higher than the current bar High or lower than the current bar low.

After TR is calculated , the moving average applied to it. As an example, ATR(11) stays for 11-bar moving average of TR. Some technical analysts use simplified method of calculating the Moving Average applied to TR. For instance, to define the ATR(11) the previous ATR(11) bar is multiplied by 10, then the current bar TR value is added and the result is divided by 11.

Keep in mind that low priced low price stocks have lower ATR than high price stocks ( a $5 stock has lower ATR than a $500 stock). Furthermore, it would be wrong to compare ATR of stocks from the different price range.

Chart 1: Nasdaq 100 index - Average True Range (ATR).

Nasdaq 100 index - Average True Range (ATR).

The ATR indicator could be very useful in trading systems to define stock market periods of high volatility. From the chart above you may see that since August 2007 the Nasdaq 100 index has been 2-3 times more volatile. It means that from that month the Nasdaq 100 price changes its direction 2-3 time faster then before. As a result, technical indicators setting used in the period prior August 2007 may fail to generate signals after that month. The old indicators setting may simply open and close a trade when it is already too late.

As you may see the ATR helps identify high volatile period. In August 2007 by having ATR data, proficient in technical analysis trader would adjust the indicators to be more sensitive and faster react on the price changes.


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