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US Dollar to Brazilian Real GAS-GARCH Student T Volatility Analysis

Volatility prediction for Monday, October 19th, 2026

1 Day

15.44%

decreased by 0.87%

1 Week

15.43%

decreased by 0.88%

1 Month

15.42%

decreased by 0.89%

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 Brazilian Real GAS-GARCH-T

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Dec 22, 1992 to Oct 16, 2026

Model Insight

With persistence 0.999, volatility shocks have a half-life of 693 trading days (~2.7 years), close to a unit root, so long-run forecasts are highly sensitive to this estimate. Returns follow a Student-t distribution with v = 2.29 degrees of freedom, capturing fatter tails than a normal distribution.

𝑓

GAS-GARCH-T Model

Tap to view equation

High persistence: persistence 0.999, shock half-life ~693 daysv = 2.29 · fat tails
ParamValuet-stat
ωconst0.7155
2.63***
αARCH0.0451
33.78***
βGARCH0.9990
2,574.74***
νDF2.2934
463.30***

0.999

Persistence

693d

Half-life
𝑓

GAS-GARCH-T Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

0.7155
2.63***
α

ARCH

Response to squared shocks

0.0451
33.78***
β

GARCH

Volatility persistence

0.9990
2,574.74***
ν

DF

Student-t tail thickness

2.2934
463.30***

Persistence:

0.999

Half-life:

693 days