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CBOE Skew Index GJR-GARCH Volatility Analysis

Volatility prediction for Thursday, October 1st, 2026

1 Day

31.83%

decreased by 0.74%

1 Week

32.30%

decreased by 0.27%

1 Month

34.06%

increased by 1.49%

Analysis last updated: Thursday, October 1, 2026 at 11:30 AM UTC

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Date Range:

from

09/30/2024

to

09/30/2026

6M ·

1Y ·

2Y ·

5Y ·

10Y ·

All

graph of CBOE Skew Index GJR-GARCH

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Jan 2, 1990 to Sep 25, 2026

Model Insight

With persistence 0.996, volatility shocks have a half-life of 154 trading days (~0.6 years), close to a unit root, so long-run forecasts are highly sensitive to this estimate.

Inverse leverage: Positive returns increase volatility 165% more than negative returns

σ

GJR-GARCH Model

Tap to view equation

High persistence: persistence 0.996, shock half-life ~154 daysInverse leverage: Positive returns increase volatility 165% more than negative returns
ParamValuet-stat
ωconst0.0780
3.30***
αARCH0.1558
5.61***
βGARCH0.8883
82.87***
γleverage-0.0970
-2.45**

0.996

Persistence

154d

Half-life
σ

GJR-GARCH Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

0.0780
3.30***
α

ARCH

Response to squared shocks

0.1558
5.61***
β

GARCH

Volatility persistence

0.8883
82.87***
γ

leverage

Additional response to negative shocks

-0.0970
-2.45**

Persistence:

0.996

Half-life:

154 days