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New version applies from 18/01/2015. 360 provisions change. Later versions: 02/04/2016, 15/09/2017, 01/01/2019, 08/07/2019, 01/01/2020, 30/07/2020, 15/04/2021, 02/08/2022, 14/11/2024, 30/01/2027. Article 201 changes in this version: compare with the current text.

Article 201 - Variance of the loss distribution of type 1 exposures

Article 201
Variance of the loss distribution of type 1 exposures

1.The variance of the loss distribution of type 1 exposures as referred to in paragraph 4 of Article 200 shall be equal to the sum of V inter and V intra .

2.V inter shall be equal to the following:

V_{\mathrm{inter}} = \sum_{(j,k)} \frac{\mathrm{PD}_{\mathrm{k}} \cdot (1 - \mathrm{PD}_{\mathrm{k}}) \cdot \mathrm{PD}_{\mathrm{j}} \cdot (1 - \mathrm{PD}_{\mathrm{j}})}{1.25 \cdot (\mathrm{PD}_{\mathrm{k}} + \mathrm{PD}_{\mathrm{j}}) - \mathrm{PD}_{\mathrm{k}} \cdot \mathrm{PD}_{\mathrm{j}}} \cdot \mathrm{TLGD}_{\mathrm{j}} \cdot \mathrm{TLGD}_{\mathrm{k}}

where:

(a)

the sum covers all possible combinations (j,k) of different probabilities of default on single name exposures in accordance with Article 199;

(b)

TLGDj and TLGDk denote the sum of losses -given- default on type 1 exposures from counterparties bearing a probability of default PDj and PDk respectively.

3.V intra shall be equal to the following:

V_{\mathrm{intra}} = \sum_{\mathrm{j}} \frac{1.5 \cdot \mathrm{PD}_{\mathrm{j}} \cdot (1 - \mathrm{PD}_{\mathrm{j}})}{2.5 - \mathrm{PD}_{\mathrm{j}}} \cdot \sum_{\mathrm{PD}_{\mathrm{j}}} \mathrm{LGD}_{\mathrm{i}}^2

where:

(a)

the first sum covers all different probabilities of default on single name exposures in accordance with Article 199;

(b)

the second sum covers all single name exposures that have a probability of default equal to PDj;

(c)

LGDi denotes the loss-given-default on the single name exposure i.

Official text · consolidated version 17/01/2015 (no longer in force) Open full page ↗
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