CBOE Volatility Index

CBOE NASDAQ-100 Volatility Index

CBOE DJIA Volatility Index

CBOE Russell 2000 Volatility Index

CBOE S&P 500 9-Day Volatility Index

CBOE 3-Month Volatility Index

CBOE 1-Day Volatility Index

CBOE S&P 500 6-Month Volatility Index

CBOE S&P 500 One-Year Volatility Index

CBOE Skew 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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Parameter	Value	t-statistic
m window Rolling window length	61
α ARCH Response to squared shocks	0.0000	0.00
β GARCH Volatility persistence	0.8393	62.32***
γ leverage Additional response to negative shocks	0.1975	12.18***
λ₁ tau intercept Baseline long-term coefficient	0.0107	1.66*
λ₂ forecast adj. Forecast performance sensitivity	0.0627	2.02**
λ₃ tau persistence Long-term factor persistence	0.9266	25.47***

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