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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	51
αARCH	0.0108	2.53**
βGARCH	0.9728	232.24***
γleverage	0.0316	5.20***
λ₁tau intercept	2.1789	0.74
λ₂forecast adj.	0.2860	0.72
λ₃tau persistence	0.0000	0.00

Parameter	Value	t-statistic
m window Rolling window length	51
α ARCH Response to squared shocks	0.0108	2.53**
β GARCH Volatility persistence	0.9728	232.24***
γ leverage Additional response to negative shocks	0.0316	5.20***
λ₁ tau intercept Baseline long-term coefficient	2.1789	0.74
λ₂ forecast adj. Forecast performance sensitivity	0.2860	0.72
λ₃ tau persistence Long-term factor persistence	0.0000	0.00

V-Lab

30Y US Treasury CMT 30 Year MF2-GARCH Volatility Analysis

Date Range:

News Impact Curve

Volatility Forecast

Parameter Estimates

Other 30Y US Treasury CMT 30 Year Analyses