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Yang-Zhang volatility

A composite estimator combining overnight, open-to-close, and range variance. It handles both gaps and drift, at the cost of complexity.

It is built as a weighted sum of three pieces: the variance of overnight close-to-open returns, the variance of open-to-close returns, and a Rogers-Satchell range term that is drift-independent. The weighting parameter is chosen to minimise total estimator variance.

This is the most complete of the common estimators and generally the best default for equities, where a meaningful share of total variance arrives between sessions. For a typical large-cap stock, somewhere around a third of daily variance is overnight, so estimators that ignore it are structurally low.

The trade-off is that it needs clean open prices, which are the least reliable field in most data feeds due to auctions and late prints. A bad open corrupts two of the three components at once, so pair it with a data-quality-check.

Related: garman-klass-volatility, parkinson-volatility, close-to-close-volatility, data-quality-check

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