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Historical volatility is a prevalent statistic used by options traders and financial risk managers. Historical volatility measures the past fluctuations in the price of an underlying asset. When there is a rise in historical volatility, a security’s price will also move more than normal. At this time, there is an expectation that something will or has changed. If the historical volatility is dropping, on the other hand, it means any uncertainty has been eliminated, so things return to the way they were.
There are various types of historical volatilities such as close to close, Parkinson, Garman-KIass, Yang-Zhang, etc. We implemented the closed-to-close historical volatility in a calculator. The close-to-close historical volatility (CCHV) is calculated as follows,
where xi are the logarithmic returns calculated based on closing prices, and N is the sample size. In this example, N=22, the average number of trading days in a month.
Input
Use the dropdown menu highlighted in yellow to choose the stock.
Output
The calculator returns the following results
- A plot of 22-day rolling historical volatility
- A plot of the stock price
- 1-year historical volatility
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