Updated 23/11/2024
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Article 8 - Downward and upward calibrated shock with the historical method

Article 8

Downward and upward calibrated shock with the historical method

1.   Under the historical method, institutions shall determine the downward calibrated shock from a time series of 10 business days returns for a non-modellable risk factor in accordance with the following formula:

Formula

where:

Ret denotes the time series of 10 business days returns of the non-modellable risk factor;

Formula
is the estimate of the left-tail expected shortfall for the time series Ret calculated in accordance with Article 11(1);

N is the number of returns in the time series Ret.

2.   Institutions shall determine the upward calibrated shock from a time series of 10 business days returns for a non-modellable risk factor with the historical method in accordance with the following formula:

Formula

where:

Ret denotes the time series of 10 business days returns of the non-modellable risk factor;

Formula
is the estimate of the right-tail expected shortfall for the time series Ret calculated in accordance with Article 11(2);

N is the number of returns in the time series Ret.