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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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Date Range:

from

10/18/2024

to

10/18/2026

6M ·

1Y ·

2Y ·

5Y ·

10Y ·

All

graph of US Dollar to South African Rand GAS-GARCH-T

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Jan 2, 1990 to Oct 16, 2026

Model 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

Tap to view equation

High persistence: persistence 0.998, shock half-life ~356 daysv = 2.82 · fat tails
ParamValuet-stat
ωconst1.0236
1.79*
αARCH0.0377
26.61***
βGARCH0.9981
1,039.64***
νDF2.8218
42.59***

0.998

Persistence

356d

Half-life
𝑓

GAS-GARCH-T Model

Tap to view equation

ParameterValuet-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