V-Lab
Ulta Beauty Inc GAS-GARCH Student T Volatility Analysis
Volatility prediction for Monday, October 5th, 2026
1 Day
33.17%
decreased by 0.56%
1 Week
33.42%
decreased by 0.31%
1 Month
34.42%
increased by 0.69%
Analysis last updated: Friday, October 2, 2026 at 11:09 PM UTC
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News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Oct 25, 2007 to Oct 2, 2026Model Insight
With persistence 0.998, volatility shocks have a half-life of 322 trading days (~1.3 years), close to a unit root, so long-run forecasts are highly sensitive to this estimate. Returns follow a Student-t distribution with v = 3.75 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 ~322 daysv = 3.75 · fat tails
| Param | Value | t-stat |
|---|---|---|
| ωconst | 20.2153 | 1.67* |
| αARCH | 0.0614 | 17.08*** |
| βGARCH | 0.9978 | 940.48*** |
| νDF | 3.7542 | 11.60*** |
0.998
Persistence322d
Half-life𝑓
GAS-GARCH-T Model
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| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 20.2153 | 1.67* |
α ARCH Response to squared shocks | 0.0614 | 17.08*** |
β GARCH Volatility persistence | 0.9978 | 940.48*** |
ν DF Student-t tail thickness | 3.7542 | 11.60*** |
Persistence:
0.998
Half-life:
322 days
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