US Dollar to South African Rand GAS-GARCH Student T Volatility Analysis
Volatility prediction for Monday, October 19th, 2026
1 Day
10.81%
decreased by 0.44%
1 Week
10.84%
decreased by 0.41%
1 Month
10.94%
decreased by 0.31%
Analysis last updated: Sunday, October 18, 2026 at 03:09 PM UTC
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News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 2, 1990 to Oct 16, 2026Model Insight
With persistence 0.998, volatility shocks have a half-life of 356 trading days (~1.4 years), close to a unit root, so long-run forecasts are highly sensitive to this estimate. Returns follow a Student-t distribution with v = 2.82 degrees of freedom, capturing fatter tails than a normal distribution.
𝑓
GAS-GARCH-T Model
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High persistence: persistence 0.998, shock half-life ~356 daysv = 2.82 · fat tails
| Param | Value | t-stat |
|---|---|---|
| ωconst | 1.0236 | 1.79* |
| αARCH | 0.0377 | 26.61*** |
| βGARCH | 0.9981 | 1,039.64*** |
| νDF | 2.8218 | 42.59*** |
0.998
Persistence356d
Half-life𝑓
GAS-GARCH-T Model
Tap to view equation
| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 1.0236 | 1.79* |
α ARCH Response to squared shocks | 0.0377 | 26.61*** |
β GARCH Volatility persistence | 0.9981 | 1,039.64*** |
ν DF Student-t tail thickness | 2.8218 | 42.59*** |
Persistence:
0.998
Half-life:
356 days
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