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Momentum with Moving Average
This study calculates and displays both the Momentum and a Simple Moving Average of the Momentum of the data specified by the Input Data Input. Refer to those studies for a full explanation of the notation used here.
In the expression \(M_t(X,n)\), \(n\) denotes the Input Momentum Length. This Input was simply called Length in the Momentum study.
We denote the Simple Moving Average of the Momentum as \(SMA_t(M(X,n),n_{MA})\), where \(n_{MA}\) denotes the Moving Average Length, and \(M(X,n)\) is a random variable denoting the Momentum of Length \(n\) for the Input Data \(X\).
Both \(M_t(X,n)\) and \(SMA_t(M(X,n),n_{MA})\) are displayed for \(t \geq n + n_{MA}\). In order to compute \(SMA_{n + n_{MA}}(M(X,n),n_{MA})\), internal calculations of \(M_t(X,n)\) are executed for \(n \leq t < n + n_{MA}\), but these values are not displayed as output.
Inputs
- Input Data
- Momentum Length
- Moving Average 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.