V-Lab
CBOE Skew Index Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Tuesday, September 15th, 2026
1 Day
48.65%
decreased by 6.74%
1 Week
50.19%
decreased by 5.20%
1 Month
52.11%
decreased by 3.28%
Analysis last updated: Tuesday, September 15, 2026 at 12:17 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 2, 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 3 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 | 2.8398 | 4.22*** |
| αARCH | 0.2652 | 10.99*** |
| βGARCH | 0.5277 | 14.91*** |
Spline Coefficients
K=10
| γ1 | 0.0955 | 2.11** |
| γ2 | -0.0529 | -0.88 |
| γ3 | -0.0810 | -1.91* |
| γ4 | 0.1248 | 2.82*** |
| γ5 | -0.1999 | -5.23*** |
| γ6 | 0.2104 | 5.69*** |
| γ7 | -0.1319 | -3.95*** |
| γ8 | -0.0173 | -0.55 |
| γ9 | 0.1286 | 4.06*** |
| γ10 | -0.1101 | -4.71*** |
0.793
Persistence3d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 2.8398 | 4.22*** |
α ARCH Response to squared shocks | 0.2652 | 10.99*** |
β GARCH Volatility persistence | 0.5277 | 14.91*** |
Spline Coefficients
K=10
| γ1 | 0.0955 | 2.11** |
| γ2 | -0.0529 | -0.88 |
| γ3 | -0.0810 | -1.91* |
| γ4 | 0.1248 | 2.82*** |
| γ5 | -0.1999 | -5.23*** |
| γ6 | 0.2104 | 5.69*** |
| γ7 | -0.1319 | -3.95*** |
| γ8 | -0.0173 | -0.55 |
| γ9 | 0.1286 | 4.06*** |
| γ10 | -0.1101 | -4.71*** |
Persistence:
0.793
Half-life:
3 days
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