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TAI - Detrended Price Oscillator

 

Name, Sometimes Called:

Detrended Price Oscillator
Sometimes abbreviated DPO

Brief Description:

The Detrended Price Oscillator (DPO), as its name implies, tries to eliminate the trend in prices. Detrended prices help to more easily identify short-term cycles and oversold or overbought levels. The DPO removes the longer-term cycles from prices, thus making the shorter-term cycles more visible.

Definitions, Formulas:

As its name implies, the Detrended Price Oscillator tries to eliminate the trend in prices. In removing the longer-term cycles from prices, the DPO makes the shorter-term cycles more visible. Detrended prices help to more easily identify both short-term cycles and oversold or overbought levels.

To calculate the Detrended Price Oscillator, first decide on the time frame that you wish to analyze. We use 20 days.

Then set n as half of the cycle period (10 days).

Next, calculate a simple moving average SMA for n days:

SMA(10)(price) =

where

Ci is the closing price on day i

Calculate p = (n / 2) + 1 = 6

Finally, subtract the moving average, from p days ago, from the closing price:

DPO = CTODAY - SMA(10)(price) from 6 days ago.

This calculation effectively moves the DPO back 6 days to eliminate the trend in prices.

Positive Development Calculation:

For this TAI, a new positive development (NPD) occurs when DPO crosses above zero; that is, when DPO x+ 0.

This TAI is no longer positive when DPO crosses below zero; that is, when DPO x- 0.

If this TAI is still positive tomorrow, it will no longer be new, but will be a cumulative positive development (CPD).

If this TAI was a new positive development (NPD) yesterday, and is still positive today, then it becomes a cumulative positive development (CPD).

History:

It is often useful to be able to identify major turning points in a long-term cycle. Such turning points will be apparent if the short-term cycles within the longer-term cycle are made visible. By removing the longer-term cycle from prices, the DPO exposes the short-term cycles and possible oversold or overbought levels.

This chart is an example of the DPO indicator in action. When DPO crossed over zero on 12/24/1999 that is a new positive development (NPD) and predicts a price rise in the short term. Remember the DPO is computed after the close. In the case of GERN the next few days were generally down, followed by some modest increase and a large increase. DPO is considered a cumulative positive development (CPD) until it crosses back under zero. For GERN that was 1/17/2000.


 

 
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