Parabolic SAR (Stop and Reverse) Indicator
What it is
The Parabolic SAR (PSAR), developed by J. Welles Wilder, is a technical indicator used to identify trend direction, signal potential reversals, and provide a trailing stop level. It plots a series of dots on price charts: dots below price during uptrends and above price during downtrends. When the dots flip sides, the PSAR signals a change in the price–indicator relationship.
How to read the signals
- Buy signal: dots move from above price to below price.
- Sell signal: dots move from below price to above price.
- Trailing stop: use the PSAR dots as a dynamic stop-loss level—exit a long if price closes below a rising PSAR, or exit a short if price closes above a falling PSAR.
- Important nuance: a PSAR reversal means the price crossed the indicator, not necessarily that the market has completed a genuine trend reversal.
Formula
Rising PSAR:
RPSAR = Prior_PSAR + (Prior_AF × (Prior_EP − Prior_PSAR))
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Falling PSAR:
FPSAR = Prior_PSAR − (Prior_AF × (Prior_PSAR − Prior_EP))
Where:
* AF (Acceleration Factor) — starts at 0.02 and increases by 0.02 whenever a new extreme point (EP) is made, up to a typical maximum of 0.20.
* EP (Extreme Point) — in an uptrend: the highest high since the trend began; in a downtrend: the lowest low since the trend began.
* Prior_PSAR, Prior_AF, Prior_EP — values from the previous period.
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How to calculate (practical steps)
- Establish initial direction and record highs/lows for at least five periods to set starting values.
- For an initial uptrend, use the lowest low of those periods as the initial Prior_PSAR; for an initial downtrend, use the highest high.
- Set AF = 0.02. Increase AF by 0.02 each time a new EP (higher high in uptrend or lower low in downtrend) occurs, up to the max (commonly 0.20).
- Compute the next PSAR using the rising or falling formula. If price closes beyond the computed PSAR, switch to the opposite formula and reset EP and AF appropriately.
- Track PSAR, EP, and AF period by period (spreadsheets can help), though charting platforms typically calculate PSAR automatically.
Trading strategies and best practices
- Use PSAR to trail stops and manage exits—its automatic switching ensures a position is always defined (long or short).
- Confirm PSAR signals with trend-strength indicators (e.g., ADX), moving averages, or trendlines to avoid noise in sideways markets.
- Example confirmation: take PSAR buy signals only when ADX indicates a strong trend (commonly ADX > 25–30) or when the price is above a longer-term moving average.
- PSAR is most effective in trending markets where sustained moves allow the AF to capture momentum; avoid relying on PSAR alone in range-bound conditions.
PSAR vs. Moving Averages
- Moving averages (MA) smooth price by averaging over periods and highlight general trend direction.
- PSAR uses extreme highs/lows and an acceleration factor to produce point-by-point stop levels and reversal signals.
- They produce different signals and visual patterns; many traders use both for complementary perspectives (MA for trend direction, PSAR for trailing stops/reversals).
Limitations
- PSAR continuously generates signals, even in non-trending markets, which can lead to frequent false reversals and small losses.
- The acceleration factor causes the PSAR to “catch up” to price over time, so reversals may be triggered even without a true change in trend.
- Reversal signals can prematurely exit profitable trades or produce whipsaws in choppy markets.
- Always consider confirming indicators and position sizing to manage the risk of false signals.
Key takeaways
- PSAR provides dot-based signals and trailing stop levels that change side when price crosses the indicator.
- It is best used in trending markets and as part of a broader trading plan with confirmations.
- Understand AF and EP mechanics—charting software handles calculations, but interpret signals with caution to avoid whipsaws.