Chapter 7Volatility Prediction

We use the term volatility prediction to mean the prediction of the squared return

where c07-math-002 is the current time, c07-math-003 is the prediction horizon, and

equation

are either the net return or the log return of an asset with prices c07-math-004. A closely related concept is the estimation of the conditional variance

equation

where c07-math-005 is the conditional expectation. Since the squared conditional expectation c07-math-006 is often negligible as compared to c07-math-007, the estimation of the conditional variance is close to the estimation of the conditional expectation of the squared return

The conditional expectation of

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