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{name} Model Equation

How returns affect tomorrow's volatility

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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	61
αARCH	0.0301	3.11***
βGARCH	0.8398	55.58***
γleverage	0.1267	8.33***
λ₁tau intercept	0.0183	1.51
λ₂forecast adj.	0.0394	2.04**
λ₃tau persistence	0.9539	40.86***

Parameter	Value	t-statistic
m window Rolling window length	61
α ARCH Response to squared shocks	0.0301	3.11***
β GARCH Volatility persistence	0.8398	55.58***
γ leverage Additional response to negative shocks	0.1267	8.33***
λ₁ tau intercept Baseline long-term coefficient	0.0183	1.51
λ₂ forecast adj. Forecast performance sensitivity	0.0394	2.04**
λ₃ tau persistence Long-term factor persistence	0.9539	40.86***

V-Lab

Allianz SE MF2-GARCH Volatility Analysis

Date Range:

News Impact Curve

Volatility Forecast

Parameter Estimates

Other Allianz SE Analyses