# Technical Studies Reference

- Technical Studies Reference
- Common Study Inputs (Opens a new page)
- Using Studies (Opens a new page)

# Momentum

This study calculates and displays the Momentum of the data specified by the **Input Data** Input.

Let \(X\) be a random variable denoting the **Input Data**, and let \(X_t\) be the value of the **Input Data** at Index \(t\). Let the Input **Length** be denoted as \(n\). The **Momentum** at Index \(t\) for the given Inputs is denoted as \(M_t(X,n)\), and we compute it for \(t \geq n\). The method of computation depends on the setting of the **Momentum Type** Input, as decribed below.

If **Momentum Type** is set to **Difference**, then \(M_t(X,n)\) is calculated as follows.

If **Momentum Type** is set to **Quotient**, then \(M_t(X,n)\) is calculated as follows.

#### Inputs

- Input Data
- Length
**Momentum Type**: This custom Input determines whether the Difference or Quotient version of the Momentum formula is used.

#### 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.