Have you noticed that DEMA and zerolag ema are exactly same? | Forex Factory

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Have you noticed that DEMA and zerolag ema are exactly same?

  • #1
  • First Post: Aug 28, 2011 11:46am Aug 28, 2011 11:46am
In the picture below i've plotted two Moving Averages with same period.

Yellow Line - DEMA (Double Smoothed Exponential Moving Average)
Cyan Dots - ZLEMA (Zerolag Exponential Moving Average)

Yes. it's exactly same.
but the mysterious point is. both have different calculation.
can you explain that how come both have same values despite different calculations?

DEMA
Inserted Code
Inputs: Price(C), Length(20);
Vars: X1(0), X2(0), Dema(0);

X1= XAverage(Price,Length);
X2= XAverage(XAverage(Price,Length),Length);

DEMA = X1 * 2 - X2;

Plot1(Dema, "DEMA");

Zerolag EMA
Inserted Code
Inputs : Price(C), Length(20);
Vars : EMA1(0), EMA2(0), Difference(0), ZeroLagEMA(0);

EMA1 = XAverage(Price, Length);
EMA2 = XAverage(EMA1, Length);
Difference = EMA1 - EMA2;
ZeroLagEMA= EMA1 + Difference;

Plot1(ZeroLagEMA, "ZerolagEMA");
Attached Image (click to enlarge)
Click to Enlarge Name: dema vs zlema.png Size: 24 KB
  • #2
  • Last Post: Aug 28, 2011 12:06pm Aug 28, 2011 12:06pm
Both equations are algebraically identical. Only the intermediate variable names and steps differ.
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