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Defiance BMNR Option Income ETF GAS-GARCH Student T Volatility Analysis

Volatility prediction for Tuesday, July 28th, 2026

1 Day

76.78%

increased by 13.50%

1 Week

77.17%

increased by 13.89%

1 Month

78.62%

increased by 15.34%

Analysis last updated: Tuesday, July 28, 2026 at 02:21 AM UTC

Date Range:

from

to

6M ·

All

graph of Defiance BMNR Option Income ETF GAS-GARCH-T

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Nov 25, 2025 to Jul 24, 2026

Model Insight

With persistence 0.994, volatility shocks have a half-life of 119 trading days (~0.5 years), close to a unit root, so long-run forecasts are highly sensitive to this estimate. Returns follow a Student-t distribution with v = 50.20 degrees of freedom, capturing fatter tails than a normal distribution.

𝑓

GAS-GARCH-T Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

43.6611
3.44***
α

ARCH

Response to squared shocks

0.0778
2.45**
β

GARCH

Volatility persistence

0.9942
299.10***
ν

DF

Student-t tail thickness

50.2019
0.07

Persistence:

0.994

Half-life:

119 days