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{name} Model Equation

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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	0.8394	222.24***
γ leverage Additional response to negative shocks	0.1970	44.62***
λ₁ tau intercept Baseline long-term coefficient	0.0107	5.67***
λ₂ forecast adj. Forecast performance sensitivity	0.0632	4.43***
λ₃ tau persistence Long-term factor persistence	0.9261	57.55***

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S&P 500 Index MF2-GARCH Volatility Analysis

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News Impact Curve

Volatility Forecast

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