Skip to main content
V-Lab
V-Lab

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

Volatility prediction for Tuesday, September 29th, 2026

1 Day

10.97%

decreased by 0.50%

1 Week

10.98%

decreased by 0.49%

1 Month

11.00%

decreased by 0.47%

Analysis last updated: Monday, September 28, 2026 at 07:10 PM UTC

Press Delete or Backspace to remove this series.
Date Range:

from

to

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 Sep 25, 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 = 2.30 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 = 2.30 · fat tails
ParamValuet-stat
ωconst0.7093
2.63***
αARCH0.0452
33.74***
βGARCH0.9990
2,574.74***
νDF2.2958
458.43***

0.999

Persistence

693d

Half-life
𝑓

GAS-GARCH-T Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

0.7093
2.63***
α

ARCH

Response to squared shocks

0.0452
33.74***
β

GARCH

Volatility persistence

0.9990
2,574.74***
ν

DF

Student-t tail thickness

2.2958
458.43***

Persistence:

0.999

Half-life:

693 days