V-Lab
Bayerische Motoren Werke AG GJR-GARCH Volatility Analysis
Volatility prediction for Friday, September 11th, 2026
1 Day
25.01%
decreased by 0.61%
1 Week
25.14%
decreased by 0.48%
1 Month
25.61%
decreased by 0.01%
Analysis last updated: Friday, September 11, 2026 at 07:11 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
Jan 2, 1990 to Sep 4, 2026Model Insight
With persistence 0.992, volatility shocks have a half-life of 82 trading days (~0.3 years), close to a unit root, so long-run forecasts are highly sensitive to this estimate.
Leverage: Negative returns increase volatility 163% more than positive returns
σ
GJR-GARCH Model
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High persistence: persistence 0.992, shock half-life ~82 daysLeverage: Negative returns increase volatility 163% more than positive returns
| Param | Value | t-stat |
|---|---|---|
| ωconst | 0.0335 | 3.76*** |
| αARCH | 0.0285 | 4.24*** |
| βGARCH | 0.9399 | 151.61*** |
| γleverage | 0.0464 | 2.90*** |
0.992
Persistence82d
Half-lifeσ
GJR-GARCH Model
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| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.0335 | 3.76*** |
α ARCH Response to squared shocks | 0.0285 | 4.24*** |
β GARCH Volatility persistence | 0.9399 | 151.61*** |
γ leverage Additional response to negative shocks | 0.0464 | 2.90*** |
Persistence:
0.992
Half-life:
82 days
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