V-Lab
PSI 20 Portuguese Stock Index Spline-GARCH Volatility Analysis
Volatility prediction for Wednesday, September 16th, 2026
1 Day
13.19%
decreased by 0.22%
1 Week
13.39%
decreased by 0.02%
1 Month
13.95%
increased by 0.54%
Analysis last updated: Tuesday, September 15, 2026 at 06:43 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Dec 30, 1992 to Sep 11, 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 14 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 | 0.8153 | 5.60*** |
| αARCH | 0.1480 | 10.10*** |
| βGARCH | 0.8048 | 49.36*** |
Spline Coefficients
K=7
| γ1 | 0.0937 | 3.68*** |
| γ2 | -0.1953 | -5.49*** |
| γ3 | 0.1879 | 8.22*** |
| γ4 | -0.1234 | -5.49*** |
| γ5 | 0.0196 | 0.81 |
| γ6 | 0.0480 | 1.91* |
| γ7 | -0.0630 | -1.64 |
0.953
Persistence14d
Half-lifeτ
Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.8153 | 5.60*** |
α ARCH Response to squared shocks | 0.1480 | 10.10*** |
β GARCH Volatility persistence | 0.8048 | 49.36*** |
Spline Coefficients
K=7
| γ1 | 0.0937 | 3.68*** |
| γ2 | -0.1953 | -5.49*** |
| γ3 | 0.1879 | 8.22*** |
| γ4 | -0.1234 | -5.49*** |
| γ5 | 0.0196 | 0.81 |
| γ6 | 0.0480 | 1.91* |
| γ7 | -0.0630 | -1.64 |
Persistence:
0.953
Half-life:
14 days
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