Article 11
Estimators of the expected shortfall
1. Institutions shall calculate the estimate of the left-tail expected shortfall of a time series X in accordance with the following formula:
where:
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N is the number of observations in the time series; |
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α = 2,5 %; |
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] denotes the integer part of the product α ×N; |
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denotes the i-th smallest observation in the time series X. |
2. Institutions shall calculate the estimate of the right-tail expected shortfall of a time series X in accordance with the following formula:
where:
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( ) is the estimate of left-tail expected shortfall for the time series calculated in accordance with paragraph 1. |