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Yang Zhang Volatility

Yang Zhang is a historical volatility estimator that handles both opening jumps and the drift and has a minimum estimation error.

We can think of the Yang-Zhang volatility as the combination of the overnight (close-to-open volatility) and a weighted average of the Rogers-Satchell volatility and the day’s open-to-close volatility. It considered being 14 times more efficient than the close-to-close estimator.


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Yang-Zhang Volatility Settings


Yang-Zhang Volatility Chart

The chart shows rolling volatility for selected instruments. Values are annualized.

Chart placeholderClick Calculate to get results

Yang Zhang Formula


Yang Zhang Formula
Where:
Overnight volatility

Overnight volatility

Open-to-Close volatility

Open-to-Close volatility

Rogers-Satchell volatility

Rogers-Satchell volatility

Number of days in the sample period

Number of days in the sample period

Open price on day t

Open price on day t

High price on day t

High price on day t

Low price on day t

Low price on day t

Close price on day t

Close price on day t

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Disclaimer

The information contained herein does not constitute investment advice and made available for educational purposes only. Prices and returns on equities are listed without consideration of fees, commissions, taxes, penalties, or interest payable due to purchasing, holding, or selling.

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