Skip to main content
V-Lab
V-Lab

Vanguard S&P 500 ETF Zero Slope Spline-GARCH Volatility Analysis

Volatility prediction for Tuesday, September 29th, 2026

1 Day

12.99%

increased by 0.19%

1 Week

13.53%

increased by 0.73%

1 Month

15.03%

increased by 2.23%

Analysis last updated: Monday, September 28, 2026 at 09:57 PM UTC

Press Delete or Backspace to remove this series.
Date Range:

from

to

6M ·

1Y ·

2Y ·

5Y ·

10Y ·

All

graph of Vanguard S&P 500 ETF S0GARCH

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Sep 9, 2010 to Sep 25, 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 14 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
ωconst1.1445
7.44***
αARCH0.1568
7.92***
βGARCH0.7953
33.53***
∑γi Spline Coefficients
K=2
γ10.0193
2.70***
γ2-0.0251
-2.76***

0.952

Persistence

14d

Half-life
τ

Zero Slope Spline-GARCH Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

1.1445
7.44***
α

ARCH

Response to squared shocks

0.1568
7.92***
β

GARCH

Volatility persistence

0.7953
33.53***
∑γi Spline Coefficients
K=2
γ10.0193
2.70***
γ2-0.0251
-2.76***

Persistence:

0.952

Half-life:

14 days