Detrended Price Oscillator
I first discovered the Detrended Price Oscillator in Steven Achelis' Technical Analysis A-Z. Since then it has become a firm favorite. Used to isolate short-term cycles, Detrended Price Oscillator compares closing price to a prior moving average, eliminating cycles longer than the moving average.
The real power of the Detrended Price Oscillator is in identifying turning points in longer cycles:
- When Detrended Price Oscillator shows a higher trough - expect an upturn in the intermediate cycle;
- When Detrended Price Oscillator experiences a lower peak - expect a downturn.
Trading Signals
First, estimate the maximum length of the cycle that you wish to track. Use half of the cycle length as the MA period. The Detrended Price Oscillator is most effective with indicator periods of 21 days or less.
Ranging Markets
Set overbought and oversold levels based on observation of past price behavior.
- Go long when Detrended Price Oscillator crosses below and then
back above the oversold level.
- Go short when Detrended Price Oscillator crosses above and then back below the overbought level.
Use stop-losses at all times.
Trending Markets
Only trade in the direction of the trend.
- Go long when Detrended Price Oscillator crosses below zero
and then turns back above.
- Go short when Detrended Price Oscillator crosses above zero and then turns back below.
Only execute trades if the trend is intact (price does not close below the MA). Exit using a trend indicator.
Use stop-losses to protect your position.
Alternative (and more aggressive) rules:
- Go long when Detrended Price Oscillator forms a higher trough.
- Go short when Detrended Price Oscillator forms a lower peak.
Trade only in the direction of the trend and always use stop losses.
Example
IBM Corp. with
7 day Detrended Price Oscillator, and
21 day exponential moving average
(MA). The Detrended Price Oscillator is used for analyzing the short cycle and
the moving average is used to identify and exit
trends (with closing price as a filter).

Mouse over chart captions to display trading signals.
- Price is ranging - indicated by the fluctuation around the
MA. Go short [S] when Detrended Price
Oscillator turns back below the
overbought level.
- Go long [L] when the Detrended Price Oscillator turns back above the
oversold level.
- Go short [S].
- Go long [L].
- Price breaks out of the trading range - confirmed by the larger Detrended Price Oscillator swing. Switch to trend signals.
- Note how the long trend rises steeply but the Detrended Price Oscillator isolates the short cycle, forming a lower peak. More aggressive traders (see alternative rules) will exit at this point.
- Detrended Price Oscillator crosses back to above the zero line, indicating a useful trend entry point. The up-trend remains intact - there are no closes below the MA. More aggressive traders (alternative rules) would re-enter their position at this point: Detrended Price Oscillator has formed a higher trough.
- Exit when price closes below the MA at [X].
Setup
The default indicator window is set at 20 days. To alter the default settings - Edit Indicator Settings.
See Indicator Panel for directions on how to set up an indicator.
Formula
To calculate the Detrended Price Oscillator:
- Decide on the time frame that you
wish to analyze. Set n as half of that cycle period.
- Calculate a simple
moving average for n periods.
- Calculate (n / 2 + 1)
- Subtract the moving average, from
(n / 2 + 1) days ago, from the closing price:
DPO = Close - Simple moving average [from (n / 2 + 1) days ago]