CBOE Volatility Index

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CBOE DJIA Volatility Index

CBOE Russell 2000 Volatility Index

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CBOE Skew Index

How volatility evolves over time

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{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
mwindow	61
αARCH	0.0000	0.00
βGARCH	0.8395	62.47***
γleverage	0.1973	12.18***
λ₁tau intercept	0.0107	1.66*
λ₂forecast adj.	0.0626	2.02**
λ₃tau persistence	0.9267	25.49***

Parameter	Value	t-statistic
m window Rolling window length	61
α ARCH Response to squared shocks	0.0000	0.00
β GARCH Volatility persistence	0.8395	62.47***
γ leverage Additional response to negative shocks	0.1973	12.18***
λ₁ tau intercept Baseline long-term coefficient	0.0107	1.66*
λ₂ forecast adj. Forecast performance sensitivity	0.0626	2.02**
λ₃ tau persistence Long-term factor persistence	0.9267	25.49***

V-Lab

S&P 500 Index MF2-GARCH Volatility Analysis

Date Range:

News Impact Curve

Volatility Forecast

Parameter Estimates

Other S&P 500 Index Analyses