S&P Total Market Index GJR-GARCH Volatility Analysis
Volatility prediction for Friday, October 23rd, 2026
1 Day
14.86%
increased by 2.14%
1 Week
15.03%
increased by 2.31%
1 Month
15.56%
increased by 2.84%
Analysis last updated: Thursday, October 22, 2026 at 11:08 PM UTC
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News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Mar 30, 2006 to Oct 16, 2026Model Insight
This asset exhibits a strong leverage effect: volatility responds almost entirely to negative shocks. The ARCH response to positive shocks is negligible.
σ
GJR-GARCH Model
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Leverage: volatility responds almost entirely to negative shocks
| Param | Value | t-stat |
|---|---|---|
| ωconst | 0.0336 | 3.74*** |
| αARCH | 0.0100 | 0.38 |
| βGARCH | 0.8642 | 45.56*** |
| γleverage | 0.1977 | 5.21*** |
0.973
Persistence25d
Half-lifeσ
GJR-GARCH Model
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| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.0336 | 3.74*** |
α ARCH Response to squared shocks | 0.0100 | 0.38 |
β GARCH Volatility persistence | 0.8642 | 45.56*** |
γ leverage Additional response to negative shocks | 0.1977 | 5.21*** |
Persistence:
0.973
Half-life:
25 days
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