# Technical Studies Reference

### Volatility - Chaikins

This study calculates and displays Chaikin's Volatility for the Price Data in a chart.

Let $$H$$, $$L$$, and $$H - L$$ be random variables respectively denoting the High Price, Low Price, and the difference between the two, and let $$H_t$$, $$L_t$$, and $$H_t - L_t$$ be their respective values at Index $$t$$. Let the Length Input be denoted as $$n$$. Then we denote the value of Volatility - Chaikin's at Index $$t$$ for the given Input as $$CVol_t(n)$$, and we compute it in terms of Exponential Moving Averages for $$t \geq n + 4$$ as follows.

$$CVol_t(n) = \displaystyle{100 \cdot \frac{EMA_t(H - L,n) - EMA_{t - n}(H - L,n)}{EMA_{t - n}(H - L,n)}}$$