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V-Lab
V-Lab

S&P Total Market Index Spline-GARCH Volatility Analysis

Volatility prediction for Friday, September 11th, 2026

1 Day

11.42%

increased by 0.07%

1 Week

11.81%

increased by 0.46%

1 Month

12.97%

increased by 1.62%

Analysis last updated: Thursday, September 10, 2026 at 11:03 PM UTC

Date Range:

from

to

6M ·

1Y ·

2Y ·

5Y ·

10Y ·

All

graph of S&P Total Market Index SGARCH

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Mar 30, 2006 to Sep 4, 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 19 trading days.

τ

Spline-GARCH Model

Tap to view equation

Time-varying baseline: volatility reverts to a slowly-shifting spline trend
ParamValuet-stat
ωconst0.8618
5.96***
αARCH0.1298
8.73***
βGARCH0.8336
48.09***
γi Spline Coefficients
K=3
γ1-0.0324
-2.68***
γ20.0618
3.14***
γ3-0.0545
-2.46**

0.963

Persistence

19d

Half-life
τ

Spline-GARCH Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

0.8618
5.96***
α

ARCH

Response to squared shocks

0.1298
8.73***
β

GARCH

Volatility persistence

0.8336
48.09***
γi Spline Coefficients
K=3
γ1-0.0324
-2.68***
γ20.0618
3.14***
γ3-0.0545
-2.46**

Persistence:

0.963

Half-life:

19 days