# Bollinger Bands

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The Bollinger Bands function was developed by John Bollinger. It computes a pair of data bands that envelope the moving average of the input value series.

Each data band is positioned a specified number of standard deviations away from the moving average line. Applications of Bollinger Bands include the measurement of stock price volatility.

Using BOLLINGERUPPER:

Using BOLLINGERLOWER:

Note
To use an exponential moving average instead of the simple one, see Moving Average Envelopes.

## 1. Syntax

Upper Bollinger Band:

```BOLLINGERUPPER(d0,s0,s1,Alignment)
```

Lower Bollinger Band:

```BOLLINGERLOWER(d0,s0,s1,Alignment)
```

## 2. Input

The BOLLINGERUPPER and BOLLINGERLOWER functions require the following input:

• d0 - The set of data values for which the Bollinger Bands is calculated.

## 3. Parameters

The BOLLINGERUPPER and BOLLINGERLOWER functions require the following parameters:

• s0 - Period - The number of time periods to use in the calculation. Default value is 10.
• s1 - Standard Deviation Shift - The number of standard deviations that is used to shift the bands away from the simple moving average. Default value is 2.
• Alignment (Optional) – Hierarchy placeholder to be used as the alignment axis.

## 4. Output

The BOLLINGERUPPER function generates the following output:

• Upper Bollinger Band - The Upper Bollinger Band result set.

The BOLLINGERLOWER function generates the following output:

• Lower Bollinger Band - The Lower Bollinger Band result set.