CBOE Emerging Market Markets Volatility Index

EURO STOXX 50 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
mwindow	31
αARCH	0.1149	4.74***
βGARCH	0.7304	26.06***
γleverage	0.1167	3.43***
λ₁tau intercept	0.0118	1.62
λ₂forecast adj.	0.0298	3.07***
λ₃tau persistence	0.9649	79.45***

Parameter	Value	t-statistic
m window Rolling window length	31
α ARCH Response to squared shocks	0.1149	4.74***
β GARCH Volatility persistence	0.7304	26.06***
γ leverage Additional response to negative shocks	0.1167	3.43***
λ₁ tau intercept Baseline long-term coefficient	0.0118	1.62
λ₂ forecast adj. Forecast performance sensitivity	0.0298	3.07***
λ₃ tau persistence Long-term factor persistence	0.9649	79.45***

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