V-Lab
FT Wilshire 5000 Index Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Friday, July 17th, 2026
1 Day
12.38%
decreased by 0.19%
1 Week
12.85%
increased by 0.28%
1 Month
14.24%
increased by 1.67%
Analysis last updated: Wednesday, September 2, 2026 at 04:38 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 1, 1990 to Jul 16, 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
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 | 1.2319 | 7.62*** |
| αARCH | 0.1066 | 10.35*** |
| βGARCH | 0.8613 | 72.13*** |
Spline Coefficients
K=6
| γ1 | 0.0834 | 5.99*** |
| γ2 | -0.1308 | -5.81*** |
| γ3 | 0.0725 | 4.52*** |
| γ4 | -0.0470 | -3.39*** |
| γ5 | 0.0454 | 2.97*** |
| γ6 | -0.0342 | -2.93*** |
0.968
Persistence21d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.2319 | 7.62*** |
α ARCH Response to squared shocks | 0.1066 | 10.35*** |
β GARCH Volatility persistence | 0.8613 | 72.13*** |
Spline Coefficients
K=6
| γ1 | 0.0834 | 5.99*** |
| γ2 | -0.1308 | -5.81*** |
| γ3 | 0.0725 | 4.52*** |
| γ4 | -0.0470 | -3.39*** |
| γ5 | 0.0454 | 2.97*** |
| γ6 | -0.0342 | -2.93*** |
Persistence:
0.968
Half-life:
21 days
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