S&P 500 Equal Weight Index (EWI) Spline-GARCH Volatility Analysis
Volatility prediction for Thursday, October 15th, 2026
1 Day
9.29%
increased by 0.13%
1 Week
9.48%
increased by 0.32%
1 Month
10.09%
increased by 0.93%
Analysis last updated: Wednesday, October 14, 2026 at 11:02 PM 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 24 trading days.
τ
Spline-GARCH Model
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Time-varying baseline: volatility reverts to a slowly-shifting spline trend
| Param | Value | t-stat |
|---|---|---|
| ωconst | 1.3480 | 7.60*** |
| αARCH | 0.1001 | 9.45*** |
| βGARCH | 0.8709 | 70.81*** |
Spline Coefficients
K=6
| γ1 | 0.0803 | 5.98*** |
| γ2 | -0.1198 | -5.57*** |
| γ3 | 0.0624 | 3.98*** |
| γ4 | -0.0498 | -3.50*** |
| γ5 | 0.0618 | 3.48*** |
| γ6 | -0.0815 | -3.09*** |
0.971
Persistence24d
Half-lifeτ
Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.3480 | 7.60*** |
α ARCH Response to squared shocks | 0.1001 | 9.45*** |
β GARCH Volatility persistence | 0.8709 | 70.81*** |
Spline Coefficients
K=6
| γ1 | 0.0803 | 5.98*** |
| γ2 | -0.1198 | -5.57*** |
| γ3 | 0.0624 | 3.98*** |
| γ4 | -0.0498 | -3.50*** |
| γ5 | 0.0618 | 3.48*** |
| γ6 | -0.0815 | -3.09*** |
Persistence:
0.971
Half-life:
24 days
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