V-Lab
S&P Total Market Index Spline-GARCH Volatility Analysis
Volatility prediction for Friday, September 11th, 2026
1 Day
11.42%
increased by 0.07%
1 Week
11.81%
increased by 0.46%
1 Month
12.97%
increased by 1.62%
Analysis last updated: Thursday, September 10, 2026 at 11:03 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Mar 30, 2006 to Sep 4, 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 19 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 | 0.8618 | 5.96*** |
| αARCH | 0.1298 | 8.73*** |
| βGARCH | 0.8336 | 48.09*** |
Spline Coefficients
K=3
| γ1 | -0.0324 | -2.68*** |
| γ2 | 0.0618 | 3.14*** |
| γ3 | -0.0545 | -2.46** |
0.963
Persistence19d
Half-lifeτ
Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.8618 | 5.96*** |
α ARCH Response to squared shocks | 0.1298 | 8.73*** |
β GARCH Volatility persistence | 0.8336 | 48.09*** |
Spline Coefficients
K=3
| γ1 | -0.0324 | -2.68*** |
| γ2 | 0.0618 | 3.14*** |
| γ3 | -0.0545 | -2.46** |
Persistence:
0.963
Half-life:
19 days
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