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Merck KGaA GAS-GARCH Student T Volatility Analysis

Volatility prediction for Monday, September 21st, 2026

1 Day

19.31%

increased by 0.60%

1 Week

19.56%

increased by 0.85%

1 Month

20.46%

increased by 1.75%

Analysis last updated: Saturday, September 19, 2026 at 08:50 PM UTC

Date Range:

from

to

6M ·

1Y ·

2Y ·

5Y ·

10Y ·

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graph of Merck KGaA GAS-GARCH-T

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Oct 20, 1995 to Sep 18, 2026

Model Insight

With persistence 0.991, volatility shocks have a half-life of 73 trading days (~0.3 years), close to a unit root, so long-run forecasts are highly sensitive to this estimate. Returns follow a Student-t distribution with v = 4.39 degrees of freedom, capturing fatter tails than a normal distribution.

𝑓

GAS-GARCH-T Model

Tap to view equation

High persistence: persistence 0.991, shock half-life ~73 daysv = 4.39 · fat tails
ParamValuet-stat
ωconst3.5115
0.86
αARCH0.0445
5.81***
βGARCH0.9905
87.93***
νDF4.3863
1.84*

0.991

Persistence

73d

Half-life
𝑓

GAS-GARCH-T Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

3.5115
0.86
α

ARCH

Response to squared shocks

0.0445
5.81***
β

GARCH

Volatility persistence

0.9905
87.93***
ν

DF

Student-t tail thickness

4.3863
1.84*

Persistence:

0.991

Half-life:

73 days