V-Lab
S&P 100 Index Spline-GARCH Volatility Analysis
Volatility prediction for Monday, September 14th, 2026
1 Day
11.64%
increased by 0.39%
1 Week
11.92%
increased by 0.67%
1 Month
12.81%
increased by 1.56%
Analysis last updated: Saturday, September 12, 2026 at 12:55 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 21 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 | 1.4177 | 7.44*** |
| αARCH | 0.1011 | 10.11*** |
| βGARCH | 0.8664 | 74.00*** |
Spline Coefficients
K=6
| γ1 | 0.0870 | 6.58*** |
| γ2 | -0.1399 | -6.50*** |
| γ3 | 0.0835 | 5.23*** |
| γ4 | -0.0537 | -3.77*** |
| γ5 | 0.0531 | 2.97*** |
| γ6 | -0.0634 | -2.30** |
0.967
Persistence21d
Half-lifeτ
Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.4177 | 7.44*** |
α ARCH Response to squared shocks | 0.1011 | 10.11*** |
β GARCH Volatility persistence | 0.8664 | 74.00*** |
Spline Coefficients
K=6
| γ1 | 0.0870 | 6.58*** |
| γ2 | -0.1399 | -6.50*** |
| γ3 | 0.0835 | 5.23*** |
| γ4 | -0.0537 | -3.77*** |
| γ5 | 0.0531 | 2.97*** |
| γ6 | -0.0634 | -2.30** |
Persistence:
0.967
Half-life:
21 days
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