US Dollar to Brazilian Real GJR-GARCH Volatility Analysis
Volatility prediction for Monday, October 19th, 2026
1 Day
12.74%
decreased by 0.49%
1 Week
12.76%
decreased by 0.47%
1 Month
12.84%
decreased by 0.39%
Analysis last updated: Sunday, October 18, 2026 at 02:54 PM UTC
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News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Dec 22, 1992 to Oct 16, 2026Model Insight
With persistence 0.992, volatility shocks have a half-life of 83 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 117% more than negative returns
σ
GJR-GARCH Model
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High persistence: persistence 0.992, shock half-life ~83 daysInverse leverage: Positive returns increase volatility 117% more than negative returns
| Param | Value | t-stat |
|---|---|---|
| ωconst | 0.0064 | 1.27 |
| αARCH | 0.1004 | 6.63*** |
| βGARCH | 0.9184 | 130.44*** |
| γleverage | -0.0541 | -2.14** |
0.992
Persistence83d
Half-lifeσ
GJR-GARCH Model
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| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.0064 | 1.27 |
α ARCH Response to squared shocks | 0.1004 | 6.63*** |
β GARCH Volatility persistence | 0.9184 | 130.44*** |
γ leverage Additional response to negative shocks | -0.0541 | -2.14** |
Persistence:
0.992
Half-life:
83 days
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