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V-Lab

CBOE S&P 500 One-Year Volatility Index APARCH Volatility Analysis

Volatility prediction for Friday, August 14th, 2026

1 Day

23.84%

increased by 3.62%

1 Week

27.10%

increased by 6.88%

1 Month

35.26%

increased by 15.04%

Analysis last updated: Friday, August 14, 2026 at 11:32 AM UTC

Date Range:

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to

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graph of CBOE S&P 500 One-Year Volatility Index APARCH

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Jan 3, 2007 to Aug 7, 2026

Model Insight

This asset shows a rare inverse leverage effect: positive returns raise next-day volatility 209% more than negative returns. Volatility rises more after gains than after losses, the reverse of the usual leverage effect and uncommon among risky assets. The volatility power δ = 0.79 sits below 2, so large shocks influence volatility less than quadratically, a more outlier-robust response than standard GARCH.

σ

APARCH Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

0.1948
12.61***
α

ARCH

Response to squared shocks

0.1949
15.13***
β

GARCH

Volatility persistence

0.7649
51.34***
γ

leverage

Additional response to negative shocks

-0.6146
-10.17***
δ

power

Transformation power

0.7877
14.59***

Persistence:

0.915

Half-life:

8 days