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### Bollinger Bands: %B

This study calculates and displays the %B of a pair of Bollinger Bands for the data specified by the **Input Data** Input. Refer to the documentation of that study for an explanation of the notation used here. We denote the **Bollinger Bands %B** at Index \(t\) as \(\% B_t(X,n,v)\), and we compute it for \(t \geq n - 1\). The formula that is used to compute \(\% B_t(X,n,v)\) depends on the setting of the **Base Band** Input. We describe this in detail below.

If **Base Band** Input is set to Lower Band (that is, the Bottom Band \(BB^{(B)}_t(X,n,v)\), then we compute \(\% B_t(X,n,v)\) as follows.

If **Base Band** Input is set to Middle Band, then we replace the Bottom Band with a Simple Moving Average of the **Input Data**, as follows.

**Note**: Depending on the setting of the Input **Moving Average Type**, the Simple Moving Average each of the above formulas could be replaced with an Exponential Moving Average, a Linear Regression Moving Average, a Weighted Moving Average, a Wilders Moving Average, a Simple Moving Average - Skip Zeros, or a Smoothed Moving Average.

In addition to the graph of \(\% B_t(X,n,v)\), this study also displays horizontal lines at vertical positions determined by the **Upper Line Threshold Value** and **Lower Line Threshold Value** Inputs.

#### Inputs

- Input Data
- Moving Average Type
- Length
- Standard Deviations
**Base Band**: This Input determines whether the Lower (Bollinger) Band or the Middle Band (Moving Average) is used in the computation of %B.**Upper Line Threshold Value**: Determines the vertical location of the Uppper Threshold Line.**Lower Line Threshold Value**: Determines the vertical location of the Lower Threshold Line.

#### 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 Thursday, 13th September, 2018.