CBOE Volatility Index

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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	36
αARCH	0.5000	405.19***
βGARCH	0.7228	959.92***
γleverage	-0.5000	-185.80***
λ₁tau intercept	10.0000	12.62***
λ₂forecast adj.	1.0000	51.23***
λ₃tau persistence	0.0000	0.00

Parameter	Value	t-statistic
m window Rolling window length	36
α ARCH Response to squared shocks	0.5000	405.19***
β GARCH Volatility persistence	0.7228	959.92***
γ leverage Additional response to negative shocks	-0.5000	-185.80***
λ₁ tau intercept Baseline long-term coefficient	10.0000	12.62***
λ₂ forecast adj. Forecast performance sensitivity	1.0000	51.23***
λ₃ tau persistence Long-term factor persistence	0.0000	0.00

V-Lab

Leverage Shares 2X Long ECHO Daily ETF MF2-GARCH Volatility Analysis

Date Range:

News Impact Curve

Volatility Forecast

Parameter Estimates

Other Leverage Shares 2X Long ECHO Daily ETF Analyses