The Parabolic SAR explained simply
The Parabolic SAR places dots below or above the price. They move closer to the price every day and work well as a trailing stop. In sideways phases they keep flipping back and forth.
SAR stands for Stop and Reverse. J. Welles Wilder introduced the indicator in 1978. The idea: while a trend is running the stop follows along, and as soon as the price touches it, the direction flips.
What it's about
On the chart you see small dots. When they're below the price, the trend counts as up. When they're above, as down. When the price touches the dots, they jump to the other side.
An example: a stock has been rising for two weeks, the dots sit below it and move up day by day. If the price one day falls below the dot, the dots jump above the price. Anyone using the SAR as a stop would have exited that day.
How it's calculated
Each new dot is the old dot plus a fraction of the distance to the extreme so far, in an uptrend the highest high. That fraction is called the acceleration factor. It starts at 0.02 and rises by 0.02 with each new high, up to 0.2. That's why the dots close in on the price faster and faster.
With numbers: the SAR is at €48, the highest high at €53, the factor at 0.04. The next dot sits at €48 plus 0.04 times €5, so at €48.20.
What signals traders read from it
- Flip: When the dots jump below the price, some read it as a buy signal. When they jump above, as a sell signal.
- Trailing stop: Many only use the dots to move a stop up day by day during a trend.
- Distance: A wide gap between price and dots shows a strong trend.
Where it misleads you
In sideways phases the dots keep switching sides. If you trade every flip, you keep buying and selling at slightly worse prices and pay fees every time. Wilder himself recommended using the SAR only in clearly trending markets.
Because the factor rises with every new high, the dots get very close to the price in long trends. Then even a normal pullback triggers the stop, although the trend continues.
An example trade with made up numbers
Nina has €10,000 in her account and risks at most €150 per trade. The SAR dots on a stock flip below the price, with the next dot €1 below it. Nina buys at €30 and sets her stop loss at €29. With that distance, she buys 150 shares for €4,500. Costs: €1 each to buy and sell, plus about 2 cents of spread per share on each order.
If it works: The trend runs and the dots follow each day, until the price touches them at €33. Nina is €450 ahead. After €2 in fees and €6 in spread, €442 is left.
If it goes wrong: The stock moves sideways and the price touches the dots the very next day. The stop fills at €28.95. That's a €157.50 loss, €165.50 with costs.
Nina mainly used the SAR as an exit. That works well in a trend. In a sideways phase, the dots sitting so close to the price is exactly what costs money.
Wilder described the Parabolic SAR in 1978 in “New Concepts in Technical Trading Systems”. The name comes from the shape of the dot series, which hugs the price like a parabola during a trend.
Formally: tomorrow's SAR = today's SAR + AF × (EP − today's SAR). EP is the extreme point, in an uptrend the highest high since the trend began. AF starts at 0.02 and rises by 0.02 with each new extreme, up to 0.2. In an uptrend the SAR may never sit above the lows of the last two days.
Because the system is always in the market, once long and once short, it's poorly suited as a standalone trading system. As a tool for trailing a stop it's widely used.
Summary
- The SAR dots sit below the price in an uptrend and above it in a downtrend.
- They work well as a trailing stop.
- In sideways phases they keep switching sides.
Did you get it?
What does it mean when the SAR dots jump above the price?
That the price has touched the last dot. The SAR then assumes a downtrend.
Why do the dots close in on the price faster during a trend?
Because the acceleration factor rises with each new high.
Why is the SAR expensive in sideways phases?
Because the dots keep switching sides and every flip triggers a trade with fees.
Sources and further reading
- StockCharts ChartSchool, Parabolic SAR. View source ↗
- ESMA, investor information on trading risks. View source ↗
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