V-Lab
US Dollar to Indian Rupee GJR-GARCH Volatility Analysis
High-persistence model: shocks decay very slowly, so the theoretical long-run value may not be practically meaningful
Volatility prediction for Wednesday, September 9th, 2026
1 Day
3.36%
1 Week
3.37%
1 Month
3.40%
Analysis last updated: Tuesday, September 8, 2026 at 07:11 PM UTC
News Impact Curve
How returns affect tomorrow's volatilityVolatility Forecast
How volatility evolves over timeParameter Estimates
May 30, 1990 to Sep 4, 2026Model Insight
With persistence 1.000, volatility shocks have a half-life of 1386294 trading days (~5501.2 years), close to a unit root, so long-run forecasts are highly sensitive to this estimate.
Inverse leverage: Positive returns increase volatility 117% more than negative returns
GJR-GARCH Model
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| Param | Value | t-stat |
|---|---|---|
| ωconst | 0.0001 | 3.03*** |
| αARCH | 0.0847 | 6.84*** |
| βGARCH | 0.9381 | 116.39*** |
| γleverage | -0.0457 | -2.94*** |
1.000
Persistence1386294d
Half-lifeGJR-GARCH Model
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| Parameter | Value | t-statistic |
|---|---|---|
ω const Unconditional variance weight | 0.0001 | 3.03*** |
α ARCH Response to squared shocks | 0.0847 | 6.84*** |
β GARCH Volatility persistence | 0.9381 | 116.39*** |
γ leverage Additional response to negative shocks | -0.0457 | -2.94*** |
Persistence:
1.000
Half-life:
1386294 days
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