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### Traders Dynamic Index

This study calculates and displays a Traders Dynamic Index (TDI) of the data specified by the **RSI Price** Input. The TDI consists of five Subgraphs. This study relies on the studies RSI and Bollinger Bands. See the documentation of those studies for an explanation of the notation used here.

Let the **RSI Price** at Index \(t\) be given by \(X_t\). Let the **RSI Length**, **Volatility Band Length**, **RSI Price Line**, and **RSI Trade Signal Line** Inputs be denoted as \(n_{RSI}\), \(n_{Vol}\), \(n_{PL}\), and \(n_{TSL}\), respectively.

The five Subgraphs of the TDI are computed for \(t \geq 0\). The first two of them are moving averages of the RSI.

\(\displaystyle{\overline{RSI}_t\left(X,n_{RSI},n_{PL}\right) = SMA_t\left(RSI\left(X,n_{RSI}\right),n_{PL}\right)}\)**Note**: The Moving Average Type in the above formula is determined by the **RSI Price Type** Input.

**Note**: The Moving Average Type in the above formula is determined by the **Trade Signal Type** Input.

The remaining three Subgraphs are the Top, Middle, and Bottom Volatility Bands. The values of these Subgraphs at Index \(t\) are denoted as \(TB^{(Vol)}_t\left(X, n_{RSI}, n_{Vol}\right)\), and \(BB^{(Vol)}_t\left(X, n_{RSI}, n_{Vol}\right)\), \(TB^{(Vol)}_t\left(X, n_{RSI}, n_{Vol}\right)\), respectively. These Bollinger Bands of the RSI, as we indicate below.

\(TB^{(Vol)}_t\left(X, n_{RSI}, n_{Vol}\right) = TB^{(BB)}_t\left(RSI\left(X,n_{RSI}\right), n_{Vol}, 1.6185\right)\)\(MB^{(Vol)}_t\left(X, n_{RSI}, n_{Vol}\right) = MB^{(BB)}_t\left(RSI\left(X,n_{RSI}\right), n_{Vol}, 1.6185\right)\)

\(BB^{(Vol)}_t\left(X, n_{RSI}, n_{Vol}\right) = BB^{(BB)}_t\left(RSI\left(X,n_{RSI}\right), n_{Vol}, 1.6185\right)\)

#### 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 Friday, 03rd April, 2020.