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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

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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	96
αARCH	0.0417	4.04***
βGARCH	0.8341	51.60***
γleverage	0.0921	5.21***
λ₁tau intercept	0.0127	1.39
λ₂forecast adj.	0.0213	2.35**
λ₃tau persistence	0.9756	87.29***

Parameter	Value	t-statistic
m window Rolling window length	96
α ARCH Response to squared shocks	0.0417	4.04***
β GARCH Volatility persistence	0.8341	51.60***
γ leverage Additional response to negative shocks	0.0921	5.21***
λ₁ tau intercept Baseline long-term coefficient	0.0127	1.39
λ₂ forecast adj. Forecast performance sensitivity	0.0213	2.35**
λ₃ tau persistence Long-term factor persistence	0.9756	87.29***

V-Lab

Bayer AG MF2-GARCH Volatility Analysis

Date Range:

News Impact Curve

Volatility Forecast

Parameter Estimates

Other Bayer AG Analyses