[blackcat] L1 Tim Tillson T3

20 juin 2021

Level: 1

Background

T3 Moving Average is the responsive form of traditional moving averages. Presented in 1998 by Tim Tillson, T3 is also known as the Tillson Moving Averages. The thought behind the development of this technical indicator was to improve lag and false signals, which can be present in moving averages.


Function

The T3 indicator performs better than the ordinary moving averages. The reason for this is T3 Moving Average is built with the EMA (exponential moving average).
Its calculation is based on the sum of single EMA, double EMA, Triple EMA, and so on.
This gives the following equation:

T3 = c1*e6 + c2*e5 + c3*e4 + c4*e3…

Where

e3 = EMA (e2, Period)
e4 = EMA (e3, Period)
e5 = EMA (e4, Period)
e6 = EMA (e5, Period)
a is the volume factor, with a default value of 0.7 but you can also use 0.618

c1 = a^3
c2 = 3*a^2 + 3*a^3
c3 =6*a^2 – 3*a – 3*a^3
c4 = 1 + 3*a + a^3 + 3*a^2

When a trend appears, the price action stays above or below the trend line and doesn’t get disturbed from the price swing. The moving of the T3 and the lack of reversals can indicate the end of the trend. The T3 Moving Average produces signals just like moving averages, and similar trading conditions can be applied. If the price is above the T3 Moving Average and the indicator moves upward, this is a sign of a bullish trend. Here we may look to enter long. Conversely, if the price action is below the T3 Moving Average and the indicator moves downwards, a bearish trend appears. Here we may want to look for a short entry.

Key Signal

Price --> Price Input.
T3 --> T3 Ouput.

Remarks

This is a Level 1 free and open source indicator.

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