V-Lab
S&P 100 Index Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Monday, September 14th, 2026
1 Day
12.70%
increased by 0.34%
1 Week
13.15%
increased by 0.79%
1 Month
14.53%
increased by 2.17%
Analysis last updated: Saturday, September 12, 2026 at 12:54 AM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 1, 1990 to Sep 11, 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
Zero Slope Spline-GARCH Model
Tap to view equation
Time-varying baseline: volatility reverts to a slowly-shifting spline trend
| Param | Value | t-stat |
|---|---|---|
| ωconst | 1.4165 | 7.32*** |
| αARCH | 0.1009 | 10.21*** |
| βGARCH | 0.8679 | 75.38*** |
Spline Coefficients
K=6
| γ1 | 0.0850 | 6.32*** |
| γ2 | -0.1362 | -6.20*** |
| γ3 | 0.0795 | 4.88*** |
| γ4 | -0.0475 | -3.35*** |
| γ5 | 0.0405 | 2.55** |
| γ6 | -0.0322 | -2.60*** |
0.969
Persistence22d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.4165 | 7.32*** |
α ARCH Response to squared shocks | 0.1009 | 10.21*** |
β GARCH Volatility persistence | 0.8679 | 75.38*** |
Spline Coefficients
K=6
| γ1 | 0.0850 | 6.32*** |
| γ2 | -0.1362 | -6.20*** |
| γ3 | 0.0795 | 4.88*** |
| γ4 | -0.0475 | -3.35*** |
| γ5 | 0.0405 | 2.55** |
| γ6 | -0.0322 | -2.60*** |
Persistence:
0.969
Half-life:
22 days
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