V-Lab
American Express Co Spline-GARCH Volatility Analysis
Volatility prediction for Friday, September 11th, 2026
1 Day
20.45%
decreased by 0.60%
1 Week
20.90%
decreased by 0.15%
1 Month
22.41%
increased by 1.36%
Analysis last updated: Thursday, September 10, 2026 at 09:50 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 2, 1990 to Sep 4, 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 31 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 | 1.5290 | 6.99*** |
| αARCH | 0.0828 | 10.44*** |
| βGARCH | 0.8953 | 97.47*** |
Spline Coefficients
K=6
| γ1 | 0.0600 | 3.95*** |
| γ2 | -0.1086 | -4.51*** |
| γ3 | 0.0901 | 5.41*** |
| γ4 | -0.0692 | -4.05*** |
| γ5 | 0.0600 | 2.49** |
| γ6 | -0.0757 | -1.92* |
0.978
Persistence31d
Half-lifeτ
Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.5290 | 6.99*** |
α ARCH Response to squared shocks | 0.0828 | 10.44*** |
β GARCH Volatility persistence | 0.8953 | 97.47*** |
Spline Coefficients
K=6
| γ1 | 0.0600 | 3.95*** |
| γ2 | -0.1086 | -4.51*** |
| γ3 | 0.0901 | 5.41*** |
| γ4 | -0.0692 | -4.05*** |
| γ5 | 0.0600 | 2.49** |
| γ6 | -0.0757 | -1.92* |
Persistence:
0.978
Half-life:
31 days
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