CBOE Amazon Volatility Index Zero Slope Spline-GARCH Volatility Analysis
Volatility prediction for Thursday, October 22nd, 2026
1 Day
79.61%
increased by 1.13%
1 Week
101.86%
increased by 23.38%
1 Month
112.11%
increased by 33.63%
Analysis last updated: Thursday, October 22, 2026 at 11:37 AM UTC
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News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 7, 2011 to Oct 16, 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 1 trading day.
τ
Zero Slope Spline-GARCH Model
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Time-varying baseline: volatility reverts to a slowly-shifting spline trend
| Param | Value | t-stat |
|---|---|---|
| ωconst | 1.1314 | 5.88*** |
| αARCH | 0.5324 | 5.13*** |
| βGARCH | 0.0150 | 0.92 |
Spline Coefficients
K=4
| γ1 | 0.0888 | 2.36** |
| γ2 | -0.1705 | -2.93*** |
| γ3 | 0.1122 | 2.82*** |
| γ4 | -0.0287 | -1.23 |
0.547
Persistence1d
Half-lifeτ
Zero Slope Spline-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.1314 | 5.88*** |
α ARCH Response to squared shocks | 0.5324 | 5.13*** |
β GARCH Volatility persistence | 0.0150 | 0.92 |
Spline Coefficients
K=4
| γ1 | 0.0888 | 2.36** |
| γ2 | -0.1705 | -2.93*** |
| γ3 | 0.1122 | 2.82*** |
| γ4 | -0.0287 | -1.23 |
Persistence:
0.547
Half-life:
1 days
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