V-Lab
Microsoft Corp Spline-GARCH Volatility Analysis
Volatility prediction for Monday, September 21st, 2026
1 Day
30.19%
decreased by 0.60%
1 Week
31.10%
increased by 0.31%
1 Month
33.69%
increased by 2.90%
Analysis last updated: Friday, September 18, 2026 at 10:41 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 2, 1990 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 15 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 | 1.2653 | 6.31*** |
| αARCH | 0.0810 | 8.90*** |
| βGARCH | 0.8752 | 70.33*** |
Spline Coefficients
K=9
| γ1 | -0.0202 | -0.60 |
| γ2 | 0.0872 | 1.65* |
| γ3 | -0.1754 | -4.25*** |
| γ4 | 0.1957 | 5.33*** |
| γ5 | -0.1238 | -2.98*** |
| γ6 | 0.0491 | 0.89 |
| γ7 | -0.0179 | -0.35 |
| γ8 | 0.0120 | 0.23 |
| γ9 | 0.0357 | 0.35 |
0.956
Persistence15d
Half-lifeτ
Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.2653 | 6.31*** |
α ARCH Response to squared shocks | 0.0810 | 8.90*** |
β GARCH Volatility persistence | 0.8752 | 70.33*** |
Spline Coefficients
K=9
| γ1 | -0.0202 | -0.60 |
| γ2 | 0.0872 | 1.65* |
| γ3 | -0.1754 | -4.25*** |
| γ4 | 0.1957 | 5.33*** |
| γ5 | -0.1238 | -2.98*** |
| γ6 | 0.0491 | 0.89 |
| γ7 | -0.0179 | -0.35 |
| γ8 | 0.0120 | 0.23 |
| γ9 | 0.0357 | 0.35 |
Persistence:
0.956
Half-life:
15 days
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