US Dollar to South African Rand GJR-GARCH Volatility Analysis
High-persistence model: shocks decay very slowly, so the theoretical long-run value may not be practically meaningful
Volatility prediction for Monday, July 13th, 2026
1 Day
13.66%
1 Week
13.69%
1 Month
13.82%
Analysis last updated: Sunday, July 12, 2026 at 03:05 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 2, 1990 to Jul 10, 2026Model Insight
Estimated persistence of 1.000 is at or above 1 (non-stationary): volatility shocks do not decay and the long-run variance is undefined, so long-horizon forecasts should be treated with caution.
Inverse leverage: Positive returns increase volatility 83% more than negative returns
GJR-GARCH Model
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| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.0017 | 9.71*** |
α ARCH Response to squared shocks | 0.0788 | 26.45*** |
β GARCH Volatility persistence | 0.9391 | 532.66*** |
γ leverage Additional response to negative shocks | -0.0358 | -9.47*** |
Persistence:
1.000
Half-life:
-
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