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V-Lab

S&P 500 Equal Weight Index (EWI) Zero Slope Spline-GARCH Volatility Analysis

Volatility prediction for Monday, October 12th, 2026

1 Day

11.42%

decreased by 0.09%

1 Week

11.79%

increased by 0.28%

1 Month

12.95%

increased by 1.44%

Analysis last updated: Saturday, October 10, 2026 at 02:27 AM UTC

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Date Range:

from

10/09/2024

to

10/09/2026

6M ·

1Y ·

2Y ·

5Y ·

10Y ·

All

graph of S&P 500 Equal Weight Index (EWI) S0GARCH

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Jan 1, 1990 to Oct 9, 2026

Model Insight

This model fits a time-varying baseline (a spline), so volatility mean-reverts toward a slowly-shifting long-run level rather than a constant. Short-run deviations decay with a half-life of 26 trading days.

τ

Zero Slope Spline-GARCH Model

Tap to view equation

Time-varying baseline: volatility reverts to a slowly-shifting spline trend
ParamValuet-stat
ωconst1.3487
7.29***
αARCH0.1003
9.60***
βGARCH0.8730
73.52***
∑γi Spline Coefficients
K=6
γ10.0775
5.60***
γ2-0.1149
-5.17***
γ30.0571
3.52***
γ4-0.0403
-2.81***
γ50.0411
2.67***
γ6-0.0284
-2.43**

0.973

Persistence

26d

Half-life
τ

Zero Slope Spline-GARCH Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

1.3487
7.29***
α

ARCH

Response to squared shocks

0.1003
9.60***
β

GARCH

Volatility persistence

0.8730
73.52***
∑γi Spline Coefficients
K=6
γ10.0775
5.60***
γ2-0.1149
-5.17***
γ30.0571
3.52***
γ4-0.0403
-2.81***
γ50.0411
2.67***
γ6-0.0284
-2.43**

Persistence:

0.973

Half-life:

26 days