V-Lab
Korea Stock Exchange KOSPI 200 Index Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Friday, September 11th, 2026
1 Day
41.80%
decreased by 2.35%
1 Week
40.94%
decreased by 3.21%
1 Month
38.00%
decreased by 6.15%
Analysis last updated: Saturday, September 12, 2026 at 12:51 AM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 3, 1990 to Sep 3, 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
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 | 1.0837 | 5.88*** |
| αARCH | 0.0820 | 9.56*** |
| βGARCH | 0.8861 | 79.15*** |
Spline Coefficients
K=9
| γ1 | -0.0093 | -0.25 |
| γ2 | 0.0976 | 1.82* |
| γ3 | -0.2191 | -6.20*** |
| γ4 | 0.1960 | 5.49*** |
| γ5 | -0.0773 | -2.02** |
| γ6 | 0.0025 | 0.07 |
| γ7 | 0.0427 | 1.30 |
| γ8 | -0.0329 | -0.97 |
| γ9 | -0.0156 | -0.56 |
0.968
Persistence21d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.0837 | 5.88*** |
α ARCH Response to squared shocks | 0.0820 | 9.56*** |
β GARCH Volatility persistence | 0.8861 | 79.15*** |
Spline Coefficients
K=9
| γ1 | -0.0093 | -0.25 |
| γ2 | 0.0976 | 1.82* |
| γ3 | -0.2191 | -6.20*** |
| γ4 | 0.1960 | 5.49*** |
| γ5 | -0.0773 | -2.02** |
| γ6 | 0.0025 | 0.07 |
| γ7 | 0.0427 | 1.30 |
| γ8 | -0.0329 | -0.97 |
| γ9 | -0.0156 | -0.56 |
Persistence:
0.968
Half-life:
21 days
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