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Stats › Volatility and VIX › Implied against realised

The volatility index overstates the next month by four to five points, and nobody has checked since 2017

ForecastMedian errorAverage25th percentile75th percentile
Raw volatility index4.625.272.657.01
Recent realised volatility3.064.251.375.66
Mean reversion adjustment3.024.081.475.20
An adjusted index measure2.313.581.094.45

Absolute difference between the forecast and the subsequent realised volatility, 21 December 1990 to 30 September 2017. The raw index is the worst of the four forecasts on every statistic shown. The publisher reports no significance test, no regression coefficient, no r squared and no correlation anywhere in this document, and gives no average index level and no average realised volatility level.

Over 1990 to 2017 the volatility index exceeded subsequent thirty day realised volatility by four to five points on average, with a median absolute forecast error of 4.62. No opened study measures the same bias on a sample ending after October 2017.

4 to 5 pointsAverage overstatement of realised volatility
4.62Median absolute forecast error of the raw index
5.27Average absolute forecast error
2.23 timesMean implied variance divided by mean realised

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