V-Lab
BASF SE Spline-GARCH Volatility Analysis
Volatility prediction for Tuesday, October 6th, 2026
1 Day
21.55%
decreased by 0.54%
1 Week
21.71%
decreased by 0.38%
1 Month
22.21%
increased by 0.12%
Analysis last updated: Tuesday, October 6, 2026 at 06:44 PM UTC
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News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 2, 1990 to Oct 2, 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
Spline-GARCH Model
Tap to view equation
Time-varying baseline: volatility reverts to a slowly-shifting spline trend
| Param | Value | t-stat |
|---|---|---|
| ωconst | 1.1241 | 5.81*** |
| αARCH | 0.0683 | 8.27*** |
| βGARCH | 0.8990 | 78.28*** |
Spline Coefficients
K=6
| γ1 | 0.0478 | 3.13*** |
| γ2 | -0.0880 | -3.85*** |
| γ3 | 0.0728 | 5.13*** |
| γ4 | -0.0579 | -4.87*** |
| γ5 | 0.0542 | 3.96*** |
| γ6 | -0.0688 | -3.02*** |
0.967
Persistence21d
Half-lifeτ
Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.1241 | 5.81*** |
α ARCH Response to squared shocks | 0.0683 | 8.27*** |
β GARCH Volatility persistence | 0.8990 | 78.28*** |
Spline Coefficients
K=6
| γ1 | 0.0478 | 3.13*** |
| γ2 | -0.0880 | -3.85*** |
| γ3 | 0.0728 | 5.13*** |
| γ4 | -0.0579 | -4.87*** |
| γ5 | 0.0542 | 3.96*** |
| γ6 | -0.0688 | -3.02*** |
Persistence:
0.967
Half-life:
21 days
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