S&P 500 Equal Weight Index (EWI) Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Monday, October 12th, 2026
1 Day
11.42%
decreased by 0.09%
1 Week
11.79%
increased by 0.28%
1 Month
12.95%
increased by 1.44%
Analysis last updated: Saturday, October 10, 2026 at 02:27 AM UTC
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News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 1, 1990 to Oct 9, 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 26 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 | 1.3487 | 7.29*** |
| αARCH | 0.1003 | 9.60*** |
| βGARCH | 0.8730 | 73.52*** |
Spline Coefficients
K=6
| γ1 | 0.0775 | 5.60*** |
| γ2 | -0.1149 | -5.17*** |
| γ3 | 0.0571 | 3.52*** |
| γ4 | -0.0403 | -2.81*** |
| γ5 | 0.0411 | 2.67*** |
| γ6 | -0.0284 | -2.43** |
0.973
Persistence26d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.3487 | 7.29*** |
α ARCH Response to squared shocks | 0.1003 | 9.60*** |
β GARCH Volatility persistence | 0.8730 | 73.52*** |
Spline Coefficients
K=6
| γ1 | 0.0775 | 5.60*** |
| γ2 | -0.1149 | -5.17*** |
| γ3 | 0.0571 | 3.52*** |
| γ4 | -0.0403 | -2.81*** |
| γ5 | 0.0411 | 2.67*** |
| γ6 | -0.0284 | -2.43** |
Persistence:
0.973
Half-life:
26 days
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