V-Lab
Pakistan Intl Bulk Terminal Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Monday, September 21st, 2026
1 Day
48.16%
increased by 2.31%
1 Week
49.78%
increased by 3.93%
1 Month
52.85%
increased by 7.00%
Analysis last updated: Sunday, September 20, 2026 at 02:43 AM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 16, 2014 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 5 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 | 1.7035 | 11.77*** |
| αARCH | 0.1071 | 6.22*** |
| βGARCH | 0.7743 | 19.56*** |
Spline Coefficients
K=4
| γ1 | 0.2866 | 6.73*** |
| γ2 | -0.4090 | -5.81*** |
| γ3 | 0.2001 | 3.58*** |
| γ4 | -0.1153 | -2.97*** |
0.881
Persistence5d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.7035 | 11.77*** |
α ARCH Response to squared shocks | 0.1071 | 6.22*** |
β GARCH Volatility persistence | 0.7743 | 19.56*** |
Spline Coefficients
K=4
| γ1 | 0.2866 | 6.73*** |
| γ2 | -0.4090 | -5.81*** |
| γ3 | 0.2001 | 3.58*** |
| γ4 | -0.1153 | -2.97*** |
Persistence:
0.881
Half-life:
5 days
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