CBOE Volatility Index

How volatility evolves over time

How illiquidity evolves over time

{name} Model Equation

How returns affect tomorrow's volatility

How returns affect tomorrow's illiquidity

Spline Coefficients

Value at Risk (VaR) estimates the maximum loss at a given confidence level. Expected Shortfall (ES) estimates the average loss beyond VaR.

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Param	Value	t-stat
ωconst	0.0389	5.81***
αARCH	0.2372	6.92***
βGARCH	0.7628	25.64***
γleverage	-0.0509	-0.85
δpower	1.9930	5.62***

Parameter	Value	t-statistic
ω const Unconditional variance weight	0.0389	5.81***
α ARCH Response to squared shocks	0.2372	6.92***
β GARCH Volatility persistence	0.7628	25.64***
γ leverage Additional response to negative shocks	-0.0509	-0.85
δ power Transformation power	1.9930	5.62***

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