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Historical Open-High-Low-Close Volatility: Garman Klass

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created by: Thijs van den Berg (http://www.sitmo.com)
Historical Open-High-Low-Close Volatility: Garman Klass equation

The Garman and Klass estimator for estimating historical volatility assumes Brownian motion with zero drift and no opening jumps (i.e. the opening = close of the previous period). This estimator is 7.4 times more efficient than the close-to-close estimator.

List of symbols

Volatility
Z Number of closing prices in a year
n Number of historical prices used for the volatility estimate
The opening price
The high
The low
The close

Related Equations

Historical Close-to-Close Volatility »  
Historical High-Low Volatility: Parkinson »  
Historical Open-High-Low-Close Volatility: Garman and Klass (Yang Zhang) »  
Historical Open-High-Low-Close Volatility: Rogers Satchell  »  
Historical Open-High-Low-Close Volatility: Yang Zhang »  
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