V-Lab
US Dollar to Gold Troy Ounce Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Tuesday, September 8th, 2026
1 Day
20.07%
decreased by 0.58%
1 Week
19.93%
decreased by 0.72%
1 Month
19.58%
decreased by 1.07%
Analysis last updated: Monday, September 7, 2026 at 07:10 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 9 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 | 2.0270 | 3.26*** |
| αARCH | 0.0505 | 3.89*** |
| βGARCH | 0.8715 | 29.05*** |
Spline Coefficients
K=8
| γ1 | 0.3036 | 2.19** |
| γ2 | -0.4335 | -2.36** |
| γ3 | 0.2322 | 2.25** |
| γ4 | -0.0974 | -0.57 |
| γ5 | -0.0567 | -0.25 |
| γ6 | 0.0501 | 0.27 |
| γ7 | 0.1185 | 0.98 |
| γ8 | -0.2088 | -2.93*** |
0.922
Persistence9d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 2.0270 | 3.26*** |
α ARCH Response to squared shocks | 0.0505 | 3.89*** |
β GARCH Volatility persistence | 0.8715 | 29.05*** |
Spline Coefficients
K=8
| γ1 | 0.3036 | 2.19** |
| γ2 | -0.4335 | -2.36** |
| γ3 | 0.2322 | 2.25** |
| γ4 | -0.0974 | -0.57 |
| γ5 | -0.0567 | -0.25 |
| γ6 | 0.0501 | 0.27 |
| γ7 | 0.1185 | 0.98 |
| γ8 | -0.2088 | -2.93*** |
Persistence:
0.922
Half-life:
9 days
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