V-Lab
MSCI World Spline-GARCH Volatility Analysis
Volatility prediction for Friday, September 4th, 2026
1 Day
9.92%
increased by 1.39%
1 Week
10.18%
increased by 1.65%
1 Month
10.95%
increased by 2.42%
Analysis last updated: Friday, September 4, 2026 at 11:28 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 1, 1990 to Aug 27, 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 18 trading days.
τ
Spline-GARCH Model
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Time-varying baseline: volatility reverts to a slowly-shifting spline trend
| Param | Value | t-stat |
|---|---|---|
| ωconst | 1.3057 | 7.02*** |
| αARCH | 0.1125 | 10.04*** |
| βGARCH | 0.8493 | 63.95*** |
Spline Coefficients
K=8
| γ1 | 0.0255 | 1.09 |
| γ2 | 0.0239 | 0.63 |
| γ3 | -0.1284 | -4.65*** |
| γ4 | 0.1636 | 6.67*** |
| γ5 | -0.1729 | -7.34*** |
| γ6 | 0.1488 | 5.54*** |
| γ7 | -0.0718 | -2.43** |
| γ8 | -0.0033 | -0.07 |
0.962
Persistence18d
Half-lifeτ
Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.3057 | 7.02*** |
α ARCH Response to squared shocks | 0.1125 | 10.04*** |
β GARCH Volatility persistence | 0.8493 | 63.95*** |
Spline Coefficients
K=8
| γ1 | 0.0255 | 1.09 |
| γ2 | 0.0239 | 0.63 |
| γ3 | -0.1284 | -4.65*** |
| γ4 | 0.1636 | 6.67*** |
| γ5 | -0.1729 | -7.34*** |
| γ6 | 0.1488 | 5.54*** |
| γ7 | -0.0718 | -2.43** |
| γ8 | -0.0033 | -0.07 |
Persistence:
0.962
Half-life:
18 days
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