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### Gann HiLo Activator

This study calculates and displays a Gann HiLo Activator of the Price Data. The indicator was introduced by Robert Krausz in his book *W.D. Gann - Treasure Discovered*.

Let \(H\), \(L\), and \(C\) be random variables denoting the High, Low, and Close Prices, respectively, and let \(H_t\), \(L_t\), and \(C_t\) be their respective values at Index \(t\). Let the Input **Length** be denoted as \(n\).

We introduce a function \(HiLo_t(n)\) and compute it for \(t \geq n\) in terms of Simple Moving Averages as follows.

\(\displaystyle{HiLo_t(n) = \left\{ \begin{matrix} 1 & C_t > SMA_{t - 1}(H,n) \\ 0 & SMA_{t - 1}(L,n) \leq C_t \leq SMA_{t - 1}(H,n) \\ -1 & C_t < SMA_{t - 1}(L,n) \end{matrix}\right .}\)**Note**: Depending on the setting of the Input **Moving Average Type**, the Simple Moving Averages in the above formula could be replaced with Exponential Moving Averages, Linear Regression Moving Averages, Weighted Moving Averages, Wilders Moving Averages, Simple Moving Averages - Skip Zeros, or Smoothed Moving Averages.

We denote the **Gann HiLo Activator** as \(GHLA_t(n)\), and we compute it as follows.

The Subgraph of the **Gann HiLo Activator** is colored as follows.

- \(HiLo_t(n) = 1 \Rightarrow\) Green
- \(HiLo_t(n) = -1 \Rightarrow\) Red
- \(HiLo_t(n) = 0 \Rightarrow\) Color at previous chart bar

#### Inputs

*Last modified Wednesday, 26th June, 2019.