# Technical Studies Reference

### True Range

This study calculates and displays the True Range of the price data at each Index.

Let the High, Low, and Closing Prices at Index $$t$$ be denoted as $$H_t$$, $$L_t$$, and $$C_t$$, respectively. The True Range at Index $$t$$ is denoted as $$TR_t$$, and we compute it as follows.

$$\displaystyle{TR_t = \left\{ \begin{matrix} \max\{H_0 - L_0, |H_0 - C_0|, |L_0 - C_0|\} & t = 0 \\ \max\{H_t - L_t, |H_t - C_{t - 1}|, |L_t - C_{t - 1}|\} & t > 0 \end{matrix}\right .}$$

#### Inputs

This study has no Inputs.