V-Lab
MSCI USA Spline-GARCH Volatility Analysis
Volatility prediction for Friday, September 11th, 2026
1 Day
10.50%
increased by 0.05%
1 Week
10.75%
increased by 0.30%
1 Month
11.53%
increased by 1.08%
Analysis last updated: Saturday, September 12, 2026 at 12:49 AM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 1, 1990 to Sep 10, 2026Model Insight
This model fits a time-varying baseline (a spline), so volatility mean-reverts toward a slowly-shifting long-run level rather than a constant. Short-run deviations decay with a half-life of 22 trading days.
τ
Spline-GARCH Model
Tap to view equation
Time-varying baseline: volatility reverts to a slowly-shifting spline trend
| Param | Value | t-stat |
|---|---|---|
| ωconst | 1.3302 | 7.85*** |
| αARCH | 0.0951 | 9.97*** |
| βGARCH | 0.8732 | 77.06*** |
Spline Coefficients
K=6
| γ1 | 0.0815 | 6.47*** |
| γ2 | -0.1307 | -6.40*** |
| γ3 | 0.0773 | 5.20*** |
| γ4 | -0.0514 | -3.87*** |
| γ5 | 0.0519 | 3.09*** |
| γ6 | -0.0612 | -2.36** |
0.968
Persistence22d
Half-lifeτ
Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.3302 | 7.85*** |
α ARCH Response to squared shocks | 0.0951 | 9.97*** |
β GARCH Volatility persistence | 0.8732 | 77.06*** |
Spline Coefficients
K=6
| γ1 | 0.0815 | 6.47*** |
| γ2 | -0.1307 | -6.40*** |
| γ3 | 0.0773 | 5.20*** |
| γ4 | -0.0514 | -3.87*** |
| γ5 | 0.0519 | 3.09*** |
| γ6 | -0.0612 | -2.36** |
Persistence:
0.968
Half-life:
22 days
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