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V-Lab
V-Lab

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

Volatility prediction for Monday, September 21st, 2026

1 Day

12.04%

decreased by 0.21%

1 Week

12.37%

increased by 0.12%

1 Month

13.43%

increased by 1.18%

Analysis last updated: Saturday, September 19, 2026 at 12:03 AM UTC

Date Range:

from

to

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 Sep 18, 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 25 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
ωconst1.3526
7.33***
αARCH0.1004
9.59***
βGARCH0.8728
73.28***
γi Spline Coefficients
K=6
γ10.0783
5.63***
γ2-0.1160
-5.20***
γ30.0577
3.56***
γ4-0.0413
-2.88***
γ50.0426
2.75***
γ6-0.0295
-2.52**

0.973

Persistence

25d

Half-life
τ

Zero Slope Spline-GARCH Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

1.3526
7.33***
α

ARCH

Response to squared shocks

0.1004
9.59***
β

GARCH

Volatility persistence

0.8728
73.28***
γi Spline Coefficients
K=6
γ10.0783
5.63***
γ2-0.1160
-5.20***
γ30.0577
3.56***
γ4-0.0413
-2.88***
γ50.0426
2.75***
γ6-0.0295
-2.52**

Persistence:

0.973

Half-life:

25 days