V-Lab
Dow Jones Transportation Average Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Monday, September 21st, 2026
1 Day
20.14%
decreased by 0.58%
1 Week
20.48%
decreased by 0.24%
1 Month
21.47%
increased by 0.75%
Analysis last updated: Saturday, September 19, 2026 at 12:05 AM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 2, 1990 to Sep 18, 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 16 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 | 0.9103 | 7.08*** |
| αARCH | 0.0820 | 7.71*** |
| βGARCH | 0.8766 | 54.68*** |
Spline Coefficients
K=9
| γ1 | -0.0319 | -0.97 |
| γ2 | 0.1160 | 2.12** |
| γ3 | -0.1777 | -4.20*** |
| γ4 | 0.1547 | 5.10*** |
| γ5 | -0.1017 | -3.24*** |
| γ6 | 0.0491 | 1.44 |
| γ7 | 0.0187 | 0.51 |
| γ8 | -0.0456 | -1.21 |
| γ9 | 0.0188 | 0.69 |
0.959
Persistence16d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.9103 | 7.08*** |
α ARCH Response to squared shocks | 0.0820 | 7.71*** |
β GARCH Volatility persistence | 0.8766 | 54.68*** |
Spline Coefficients
K=9
| γ1 | -0.0319 | -0.97 |
| γ2 | 0.1160 | 2.12** |
| γ3 | -0.1777 | -4.20*** |
| γ4 | 0.1547 | 5.10*** |
| γ5 | -0.1017 | -3.24*** |
| γ6 | 0.0491 | 1.44 |
| γ7 | 0.0187 | 0.51 |
| γ8 | -0.0456 | -1.21 |
| γ9 | 0.0188 | 0.69 |
Persistence:
0.959
Half-life:
16 days
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