# Parabolic SAR

Introduction
Developed by Welles Wilder, creator of RSI and DMI, the Parabolic SAR sets trailing price stops for long or short positions. Also referred to as the stop-and-reversal indicator (SAR stands for "stop and reversal"), Parabolic SAR is more popular for setting stops than for establishing direction or trend. Wilder recommended establishing the trend first, and then trading with Parabolic SAR in the direction of the trend. If the trend is up, buy when the indicator moves below the price. If the trend is down, sell when the indicator moves above the price.

## Calculation

The formula is quite complex and beyond the scope of this definition, but interpretation is relatively straightforward. The dotted lines below the price establish the trailing stop for a long position and the lines above establish the trailing stop for a short position. At the beginning of the move, the Parabolic SAR will provide a greater cushion between the price and the trailing stop. As the move gets underway, the distance between the price and the indicator will shrink, thus making for a tighter stop-loss as the price moves in a favorable direction.

There are two variables: the step and the maximum step. The higher the step is set, the more sensitive the indicator will be to price changes. If the step is set too high, the indicator will fluctuate above and below the price too often, making interpretation difficult. The maximum step controls the adjustment of the SAR as the price moves. The lower the maximum step is set, the further the trailing stop will be from the price. Wilder recommends setting the step at .02 and the maximum step at .20.

## Example

The chart for Microsoft (MSFT) shows how the Parabolic SAR can catch most trends and allow the trader to profit from the buy/sell signals. The default settings that Wilder recommends diminishes distracting fluctuations, but does not make the indicator immune to whipsaws (black arrow). A proper interpretation of this indicator would suggest that a trader should close long positions when the price falls below the SAR (red arrow) and close short positions when the price rises above the SAR (green arrow).

The Parabolic SAR works best during strong trending periods, which Wilder himself estimates occur roughly 30% of the time. Therefore, the user may first want to determine if the market is trending by using other indicators such as Wilder's ADX line.