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### Bollinger Squeeze 2

This study calculates and displays a **Bollinger Squeeze** for the data specified by the **Input Data** Input. The calculations of this study include calculations of Momentum, an Exponential Moving Average of the Momentum, Bollinger Bands and Keltner Bands. See those studies for an explanation of the notation used here.

The Inputs are denoted as follows. \(X\) is the **Input Data**, \(n_B\) is the **Bollinger Bands Length**, \(v_B\) is the **Bollinger Bands Multiplier**, \(n_K\) is the **Keltner Bands Length**, \(n_{ATR}\) is the **Keltner True Range MovAvg Length**, and \(v_K\) is the **Keltner Bands Multiplier**. Note that both the Top and Bottom Keltner Bands have the same Multiplier Input, unlike in the **Keltner Channel** study. The moving average types for the Bollinger Bands, the Average True Range, and the Keltner Bands are all controlled via the **Moving Average Type for Internal Calculation** Input.

The Momentum \(M_t(X,n_M)\) is calculated by subtraction exclusively (not division). That is, \(M_t(X,n_M) = X_t - X_{t - n_M}\). Here, \(n_M\) denotes the **Momentum Length** Input.

This study displays two Subgraphs for \(t \geq \max\{n_B,n_K,n_{ATR},n_M\} - 1\): the Exponential Moving Average of the Momentum and the Squeeze Indicator.

The Exponential Moving Average of the Momentum is simply \(EMA_t\left(M(X,n_M),n_M\right)\), and it is displayed as a bar graph. It is colored as follows.

- \(EMA_t\left(M(X,n_M),n_M\right) > 0\) and \(EMA_t\left(M(X,n_M),n_M\right) \geq EMA_{t - 1}\left(M(X,n_M),n_M\right) \Rightarrow \) Bright Green
- \(EMA_t\left(M(X,n_M),n_M\right) > 0\) and \(EMA_t\left(M(X,n_M),n_M\right) < EMA_{t - 1}\left(M(X,n_M),n_M\right) \Rightarrow \) Dark Green
- \(EMA_t\left(M(X,n_M),n_M\right) < 0\) and \(EMA_t\left(M(X,n_M),n_M\right) \leq EMA_{t - 1}\left(M(X,n_M),n_M\right) \Rightarrow \) Bright Red
- \(EMA_t\left(M(X,n_M),n_M\right) < 0\) and \(EMA_t\left(M(X,n_M),n_M\right) > EMA_{t - 1}\left(M(X,n_M),n_M\right) \Rightarrow \) Dark Red

The Squeeze Indicator is denoted as \(SI_t(X,n_B,v_B,n_K,n_{ATR},v_K)\), and it is computed as follows.

\(\displaystyle{SI_t(X,n_B,v_B,n_K,n_{ATR},v_K) = \left\{ \begin{matrix} 10^{-4} & TB_t^{(B)}(X,n_B,v_B) > TB_t^{(K)}(X,n_K,n_{ATR},v_K) \space and \space BB_t^{(B)}(X,n_B,v_B) < BB_t^{(K)}(X,n_K,n_{ATR},v_K) \\ -10^{-4} & TB_t^{(B)}(X,n_B,v_B) \leq TB_t^{(K)}(X,n_K,n_{ATR},v_K) \space or \space BB_t^{(B)}(X,n_B,v_B) \geq BB_t^{(K)}(X,n_K,n_{ATR},v_K) \end{matrix}\right .}\)The Squeeze Indicator is displayed as a sequence of points that are colored as follows.

- \(SI_t(X,n_B,v_B,n_K,n_{ATR},v_K) = 10^{-4} \Rightarrow\) Green
- \(SI_t(X,n_B,v_B,n_K,n_{ATR},v_K) = -10^{-4} \Rightarrow\) Red

#### Inputs

#### Spreadsheet

The spreadsheet below contains the formulas for this study in Spreadsheet format. Save this Spreadsheet to the Data Files Folder.

Open it through **File >> Open Spreadsheet**.

*Last modified Friday, 11th March, 2022.