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V-Lab

S&P BSE SENSEX Index Zero Slope Spline-GARCH Volatility Analysis

Volatility prediction for Monday, July 27th, 2026

1 Day

12.12%

decreased by 0.35%

1 Week

12.23%

decreased by 0.24%

1 Month

12.58%

increased by 0.11%

Analysis last updated: Friday, July 24, 2026 at 12:03 PM UTC

Date Range:

from

to

6M ·

1Y ·

2Y ·

5Y ·

10Y ·

All

graph of S&P BSE SENSEX Index S0GARCH

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Jan 1, 1990 to Jul 24, 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 23 trading days.

τ

Zero Slope Spline-GARCH Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

1.2032
5.59***
α

ARCH

Response to squared shocks

0.0912
8.94***
β

GARCH

Volatility persistence

0.8788
72.36***
γi Spline Coefficients
K=9
γ1-0.1303
-2.68***
γ20.2535
3.49***
γ3-0.2539
-5.14***
γ40.2497
5.15***
γ5-0.1992
-4.36***
γ60.0984
2.42**
γ70.0040
0.10
γ8-0.0407
-0.89
γ90.0279
0.84

Persistence:

0.970

Half-life:

23 days