V-Lab
S&P 500 Equal Weight Index (EWI) Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Monday, September 21st, 2026
1 Day
12.04%
decreased by 0.21%
1 Week
12.37%
increased by 0.12%
1 Month
13.43%
increased by 1.18%
Analysis last updated: Saturday, September 19, 2026 at 12:03 AM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 1, 1990 to Sep 18, 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 25 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 | 1.3526 | 7.33*** |
| αARCH | 0.1004 | 9.59*** |
| βGARCH | 0.8728 | 73.28*** |
Spline Coefficients
K=6
| γ1 | 0.0783 | 5.63*** |
| γ2 | -0.1160 | -5.20*** |
| γ3 | 0.0577 | 3.56*** |
| γ4 | -0.0413 | -2.88*** |
| γ5 | 0.0426 | 2.75*** |
| γ6 | -0.0295 | -2.52** |
0.973
Persistence25d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.3526 | 7.33*** |
α ARCH Response to squared shocks | 0.1004 | 9.59*** |
β GARCH Volatility persistence | 0.8728 | 73.28*** |
Spline Coefficients
K=6
| γ1 | 0.0783 | 5.63*** |
| γ2 | -0.1160 | -5.20*** |
| γ3 | 0.0577 | 3.56*** |
| γ4 | -0.0413 | -2.88*** |
| γ5 | 0.0426 | 2.75*** |
| γ6 | -0.0295 | -2.52** |
Persistence:
0.973
Half-life:
25 days
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