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# Fisher Relative Vigor Index 3

This study calculates and displays a Fisher Relative Vigor Index (RVI) and Trigger Line for the data given by the Price Data. The RVI used in this study is Relative Vigor Index 3. This study is an ACSIL implementation of the Indicator given in Figures 8.15 and 8.16 of the book *Cybernetic Analysis for Stocks and Futures* by John Ehlers.

We begin by computing the Stochastic Relative Vigor Index 3, \(RVI^{(Stoch)}_t(n)\).

Next we denote the **Fisher Relative Vigor Index 3** at Index \(t\) as \(RVI^{(Fish)}_t(n)\).

If the **Use Absolute Value When Log Argument Is Zero** Input is set to Yes, then we compute \(RVI^{(Fish)}_t(n)\) as follows.

This formula is used under the conditions \(\frac{1 + 1.98(RVI^{(Stoch)}_t(n) - 0.5)}{1 - 1.98(RVI^{(Stoch)}_t(n) - 0.5)} \neq 0\) and \(1 - 1.98(RVI^{(Stoch)}_t(n) - 0.5) \neq 0\). Otherwise, \(RVI^{(Fish)}_t(n) = 0\).

If the **Use Absolute Value When Log Argument Is Zero** Input is set to No, then we compute \(RVI^{(Fish)}_t(n)\) as follows.

This formula is used under the conditions \(\frac{1 + 1.98(RVI^{(Fish)}_t(n) - 0.5)}{1 - 1.98(RVI^{(Fish)}_t(n) - 0.5)} > 0\) and \(1 - 1.98(RVI^{(Fish)}_t(n) - 0.5) \neq 0\). Otherwise, \(RVI^{(Fish)}_t(n) = 0\).

**Note**: For an explanation of the Logarithmic Function (\(\ln()\)), see the documentation here.

The Trigger Line is denoted as \(Trig_t^{(FRVI)}(X,n)\), and is computed as follows.

\(Trig_t^{(FRVI)}(X,n) = RVI^{(Fish)}_{t - 1}(n)\)#### Inputs

- Length
**Use Absolute Value When Log Argument Is Zero**: This custom Input determines the method of calculation of the Fisher Center of Gravity Oscillator, as described above.

#### 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.