# Technical Studies Reference

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# HL Volatility

This study calculates and displays a HL Volatility indicator for the Price Data.

Let \(H\), \(L\), and \(C\) be random variables denoting the High, Low, and Close Prices, and let \(H_t\), \(L_t\), and \(C_t\) be their respective values at Index \(t\). Let the **Moving Average Length** Input be denoted as \(n\). We begin by computing \(HLDiff_t(n)\), the difference between the Highest High and Lowest Low, as follows.

We denote the **HL Volatility** as \(HLVol_t(n)\), and we compute it for \(t > 0\) in terms of Exponential Moving Averages as follows.

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

#### 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 Monday, 26th September, 2022.