V-Lab
State Street SPDR S&P 500 ETF Trust Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Tuesday, September 29th, 2026
1 Day
12.67%
increased by 0.11%
1 Week
13.01%
increased by 0.45%
1 Month
14.03%
increased by 1.47%
Analysis last updated: Monday, September 28, 2026 at 09:55 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 29, 1993 to Sep 25, 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 18 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 | 0.7033 | 4.64*** |
| αARCH | 0.1115 | 9.78*** |
| βGARCH | 0.8508 | 63.54*** |
Spline Coefficients
K=7
| γ1 | 0.0556 | 1.77* |
| γ2 | -0.1412 | -3.24*** |
| γ3 | 0.1606 | 6.42*** |
| γ4 | -0.1373 | -5.85*** |
| γ5 | 0.1046 | 3.60*** |
| γ6 | -0.0496 | -1.70* |
| γ7 | 0.0032 | 0.15 |
0.962
Persistence18d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.7033 | 4.64*** |
α ARCH Response to squared shocks | 0.1115 | 9.78*** |
β GARCH Volatility persistence | 0.8508 | 63.54*** |
Spline Coefficients
K=7
| γ1 | 0.0556 | 1.77* |
| γ2 | -0.1412 | -3.24*** |
| γ3 | 0.1606 | 6.42*** |
| γ4 | -0.1373 | -5.85*** |
| γ5 | 0.1046 | 3.60*** |
| γ6 | -0.0496 | -1.70* |
| γ7 | 0.0032 | 0.15 |
Persistence:
0.962
Half-life:
18 days
Other State Street SPDR S&P 500 ETF Trust Analyses
Other Zero Slope Spline-GARCH Analyses on ETFs