US Dollar to South African Rand MF2-GARCH Volatility Analysis
Volatility prediction for Monday, October 19th, 2026
1 Day
8.21%
1 Week
8.54%
1 Month
8.91%
Analysis last updated: Sunday, October 18, 2026 at 03:14 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 2, 1990 to Oct 16, 2026Model Insight
This asset shows a rare inverse leverage effect: positive returns raise next-day volatility 307% more than negative returns. Volatility rises more after gains than after losses, the reverse of the usual leverage effect and uncommon among risky assets.
MF2-GARCH Model
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| Param | Value | t-stat |
|---|---|---|
| mwindow | 21 | |
| αARCH | 0.1724 | 5.79*** |
| βGARCH | 0.7098 | 18.58*** |
| γleverage | -0.1300 | -4.64*** |
| λ₁tau intercept | 0.0013 | 2.31** |
| λ₂forecast adj. | 0.0570 | 6.71*** |
| λ₃tau persistence | 0.9430 | 110.69*** |
0.817
Persistence3d
Half-lifeMF2-GARCH Model
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| Parameter | Value | t-statistic |
|---|---|---|
m window Rolling window length | 21 | |
α ARCH Response to squared shocks | 0.1724 | 5.79*** |
β GARCH Volatility persistence | 0.7098 | 18.58*** |
γ leverage Additional response to negative shocks | -0.1300 | -4.64*** |
λ₁ tau intercept Baseline long-term coefficient | 0.0013 | 2.31** |
λ₂ forecast adj. Forecast performance sensitivity | 0.0570 | 6.71*** |
λ₃ tau persistence Long-term factor persistence | 0.9430 | 110.69*** |
Persistence:
0.817
Half-life:
3 days
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