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1 Answer
Radinka Frolova
Answered 6 months, 2 weeks ago
<p id="isPasted">ATR Trailing Stops are primarily used to protect capital and lock in profits on individual trades, but they can also be used, in conjunction with a trend filter, to signal entries.</p><p>Average True Range ("ATR") was introduced by J. Welles Wilder in his 1978 book New Concepts In Technical Trading Systems. ATR is a measure of volatility for a stock or index and is explained in detail at Average True Range. Wilder experimented with trend-following Volatility Stops using average true range. The system was subsequently modified to what is commonly known as ATR Trailing Stops.</p><p><strong>ATR Trailing Stop Signals</strong></p><p>Signals are used for exits:</p><ul><li>Exit your long position (sell) when the price crosses below the ATR trailing stop line.</li><li>Exit your short position (buy) when the price crosses above the ATR trailing stop line.</li></ul><p>While not conventional, they can also signal entries — in conjunction with a trend filter.</p><p><strong>Example</strong></p><p>The RJ CRB Commodities Index's late 2008 downtrend is displayed with an Average True Range Trailing Stop (21 days, 3xATR, Closing Price) and a 63-day exponential moving average used as a trend filter.</p><p><img data-fr-image-pasted="true" 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" style="width: 300px;" class="fr-fic fr-dib fr-draggable"></p><p> RJ/CRB Index with ATR trailing stops</p><p> Mouse over chart captions to display trading signals.</p><ul><li>Go short [S] when the price closes below the ATR stop — while below the 63-day exponential moving average</li><li>Exit [X] when the price crosses above the ATR stop</li></ul><p><strong>Setup</strong></p><p>Typical ATR time periods vary between 5 and 21 days. Wilder originally suggested using 7 days, short-term traders use 5, and longer-term traders use 21 days. Multiples between 2.5 and 3.5 x ATR are normally applied for trailing stops, with lower multiples more prone to whipsaws.</p><p>The default is set as 3 x 21-day ATR.</p><p>Closing Price is set as the default option. The alternative is HighLow (see Formula below).</p><p>See Indicator Panel for directions on how to set up an indicator — and Edit Indicator Settings to change the settings.</p>
<p id="isPasted">ATR Trailing Stops are primarily used to protect capital and lock in profits on individual trades, but they can also be used, in conjunction with a trend filter, to signal entries.</p><p>Average True Range ("ATR") was introduced by J. Welles Wilder in his 1978 book New Concepts In Technical Trading Systems. ATR is a measure of volatility for a stock or index and is explained in detail at Average True Range. Wilder experimented with trend-following Volatility Stops using average true range. The system was subsequently modified to what is commonly known as ATR Trailing Stops.</p><p><strong>ATR Trailing Stop Signals</strong></p><p>Signals …</p>
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