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Parabolic SAR

SAR stands for “stop-and-reverse,” which is self-explanatory. When the specific price level named in the indicator is hit, your trade decision is built-in — not only should you exit the current position at the named level, but you should also initiate a new position at the same level in the opposite direction.

That is the only easy thing about parabolic SAR, which was devised by Welles Wilder in the late 1970s (along with many other core indicators). First, the “parabolic” in the name is only descriptive. The calculation of the indicator does not entail any calculations of parabolas. The indicator just looks parabolic on the chart.

The parabolic SAR is a hybrid indicator that combines the direction of the trend with the strength of the trend (i.e., momentum) and derives a trailing stop that is hit when certain criteria are met. You calculate the parabolic SAR by first determining the highest high (for an up move), named an Extreme Point (EP). To that, you add an Acceleration Factor (AF) that starts at 0.02 and adds another 0.02 every time a higher high is met. The maximum the AF can reach is 0.20, no matter how many acceleration periods you have. The Acceleration Factor is calculated by multiplying the difference between the Extreme Point and the previous period’s SAR and then adding that number to the previous period’s SAR.

In an uptrend, the parabolic SAR trails along under the price bars and moves up with every new bar. The indicator is demonstrated on the chart below. The parabolic SAR is a single number and, therefore, is displayed as a dot. On this chart, the blue dots are the parabolic SAR values. Notice that the parabolic SAR is triggered on the fourth period after the highest high, signifying that the new low is a starting point for the reversal move, and now we should consider the Acceleration Factor to be moving in the opposite direction (downward). Now, the parabolic SAR dots are above the price level, denoting that if the price reaches a dot, the down move has ended, and you should stop and reverse back to long.

Parabolic SAR
New low triggers reversal

Every software package and charting website offers the parabolic SAR as a standard feature, so you do not really need to know how to calculate it by hand. What you do need to know is that the standard acceleration factor is 0.02, and, in most instances, you cannot change that unless the charting software allows you to specify the acceleration factor, also named a “step factor,” to other values. In Forex, if you reduce the acceleration factor to 0.01, you will get a tighter stop, but you will also get more whipsaws. Research indicates that the conventional parameter of 0.02 is, in fact, appropriate for Forex.

Parabolic SAR has several advantages, the first of which is that it delivers a stop at today’s close (or the close for whatever period you are using). Because you do not know the next open, it can be handy to have a stop all wrapped up with a bow before the next session begins. You can use the parabolic SAR as your own stop until you have more information based on fresh data.

The other useful feature of the parabolic SAR is that it warns you to remember that trends can be very short-lived. While parabolic SAR is a lagging indicator, it has a forward-looking capability in that it is intolerant of pullbacks and will generate a reversal when you may think the move is ongoing. The move may well be ongoing, but the parabolic SAR has a philosophical assumption that only a move that continues to go above the latest SAR reading is worth your time and capital.

Another interesting characteristic of the parabolic SAR is that when you draw support and resistance lines by hand, they often line up with the parabolic SAR dots.

Parabolic SAR with resistance line
Parabolic SAR complemented with hand-drawn resistance line

The problem, of course, is that parabolic SAR works best in trending markets and will generate a lot of whipsaws in a range-trading or high-volatility (choppy) market. And what is “range-trading” depends on what timeframe you are looking at. A sedate, tidy set of price bars on a daily chart can be a nightmare of choppiness on the 15-minute or 60-minute chart.

Unfortunately, if you like to look at prices on multiple timeframes, you will get very different parabolic SAR dots. The prices shown in the two charts above are on the same hourly chart. Now look at the same prices on the 4-hour chart below. In this timeframe, parabolic SAR has not given up yet and would have you remain long. This 4-hour chart also includes the Bollinger band. As we observed in the lesson on Bollinger bands, in Forex, a break of the Bollinger band often — very often — is followed by a pullback. So now you have a puzzle to solve. On the hourly, the parabolic has you stopping and reversing. On the daily chart, the parabolic SAR has you sticking with the long position, and in addition, you have a reason to put the pullback in context — that high over the B-band top was telling the bulls they had gone too far, too fast.

Parabolic SAR with Bollinger bands
Parabolic SAR with a price exceeding the Bollinger bands top (circled)

Which parabolic SAR you choose to obey is up to you, of course, but in this instance, the 4-hour version seems to be the right one. See the next chart — the same price series on the hourly chart but with a longer-term perspective. The currency did go on to form a series of higher highs and higher lows, or an uptrend. We still do not know how deep a pullback it will be, but it is definitely a pullback from the extreme high. But while the hourly chart confirms the 4-hour parabolic SAR was correct, it offers a whole new set of parabolic SAR dots, at least one series of them just plain wrong.

Parabolic SAR failure
Parabolic SAR is wrong

Wilder was trying to devise an all-in-one trading system that would generate entry and exit signals in a single indicator. And you could use the parabolic SAR as a stand-alone trading system, but it would work better on a longer timeframe — at least daily — and it would work better still with the addition of other indicators.

The parabolic SAR works well — generating few whipsaws — on every timeframe but generates fewer whipsaws on longer timeframes, like the 360-minute and the daily. But because of the way it is calculated, it never works well on multiple timeframes. Comparing parabolic SARs across multiple timeframes will always be confusing. One trick is to use the timeframe for your parabolic SAR that is one notch above your trading window. If you trade in the 240-minute timeframe, use the 360-minute for your parabolic SAR. This will help you avoid whipsaws on normal pullbacks.


The parabolic SAR avoids whipsaws.

The parabolic SAR is trend-following and therefore lagging.

The parabolic SAR gets you out when new highs or lows are not appearing.

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More lessons
Moving Averages
Moving Average Crossover
Bollinger Bands
Moving Average Convergence-Divergence (MACD)
Parabolic SAR
Stochastic Oscillator
Relative Strength Index
Average Directional Index
Average True Range
Leading vs. Lagging Indicators
Is There a Best Indicator?
Ichimoku Kinko Hyo