V-Lab
US Dollar to Gold Troy Ounce Spline-GARCH Volatility Analysis
Volatility prediction for Thursday, September 10th, 2026
1 Day
23.69%
decreased by 0.26%
1 Week
24.03%
increased by 0.08%
1 Month
24.93%
increased by 0.98%
Analysis last updated: Wednesday, September 9, 2026 at 08:15 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Mar 27, 2013 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 10 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 | 1.5516 | 3.35*** |
| αARCH | 0.0543 | 4.33*** |
| βGARCH | 0.8785 | 33.94*** |
Spline Coefficients
K=4
| γ1 | 0.0228 | 0.54 |
| γ2 | -0.0024 | -0.04 |
| γ3 | -0.0452 | -1.17 |
| γ4 | 0.1061 | 2.98*** |
0.933
Persistence10d
Half-lifeτ
Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.5516 | 3.35*** |
α ARCH Response to squared shocks | 0.0543 | 4.33*** |
β GARCH Volatility persistence | 0.8785 | 33.94*** |
Spline Coefficients
K=4
| γ1 | 0.0228 | 0.54 |
| γ2 | -0.0024 | -0.04 |
| γ3 | -0.0452 | -1.17 |
| γ4 | 0.1061 | 2.98*** |
Persistence:
0.933
Half-life:
10 days
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