V-Lab
20Y US Treasury 20 Year Zero Coupon Yield Continuously Compounded GJR-GARCH Volatility Analysis
Volatility prediction for Monday, September 21st, 2026
1 Day
12.98%
increased by 0.01%
1 Week
13.02%
increased by 0.05%
1 Month
13.18%
increased by 0.21%
Analysis last updated: Wednesday, September 23, 2026 at 03:05 AM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 2, 1990 to Sep 18, 2026Model Insight
With persistence 0.999, volatility shocks have a half-life of 868 trading days (~3.4 years), close to a unit root, so long-run forecasts are highly sensitive to this estimate.
Leverage: Negative returns increase volatility 124% more than positive returns
σ
GJR-GARCH Model
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High persistence: persistence 0.999, shock half-life ~868 daysLeverage: Negative returns increase volatility 124% more than positive returns
| Param | Value | t-stat |
|---|---|---|
| ωconst | 0.0027 | 1.39 |
| αARCH | 0.0229 | 5.15*** |
| βGARCH | 0.9620 | 234.81*** |
| γleverage | 0.0285 | 2.41** |
0.999
Persistence868d
Half-lifeσ
GJR-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.0027 | 1.39 |
α ARCH Response to squared shocks | 0.0229 | 5.15*** |
β GARCH Volatility persistence | 0.9620 | 234.81*** |
γ leverage Additional response to negative shocks | 0.0285 | 2.41** |
Persistence:
0.999
Half-life:
868 days
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