V-Lab
US Dollar to Brazilian Real GJR-GARCH Volatility Analysis
Volatility prediction for Tuesday, September 8th, 2026
1 Day
7.83%
decreased by 0.24%
1 Week
7.97%
decreased by 0.10%
1 Month
8.46%
increased by 0.39%
Analysis last updated: Monday, September 7, 2026 at 07:13 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Dec 22, 1992 to Sep 4, 2026Model Insight
With persistence 0.992, volatility shocks have a half-life of 82 trading days (~0.3 years), close to a unit root, so long-run forecasts are highly sensitive to this estimate.
Inverse leverage: Positive returns increase volatility 115% more than negative returns
σ
GJR-GARCH Model
Tap to view equation
High persistence: persistence 0.992, shock half-life ~82 daysInverse leverage: Positive returns increase volatility 115% more than negative returns
| Param | Value | t-stat |
|---|---|---|
| ωconst | 0.0063 | 1.27 |
| αARCH | 0.0997 | 6.64*** |
| βGARCH | 0.9185 | 130.95*** |
| γleverage | -0.0533 | -2.12** |
0.992
Persistence82d
Half-lifeσ
GJR-GARCH Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.0063 | 1.27 |
α ARCH Response to squared shocks | 0.0997 | 6.64*** |
β GARCH Volatility persistence | 0.9185 | 130.95*** |
γ leverage Additional response to negative shocks | -0.0533 | -2.12** |
Persistence:
0.992
Half-life:
82 days
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