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Solvency II Standard Formula SCR: Correlations

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In the standard formula SCR computation individual sub-component capital charges (or individual component charges) are typically aggregated using a correlation coefficient based approach. This involves calculating the overall charge using a formula along the lines, where  is the capital charge for a given component element:

 

 

 

The correlations proposed changed as the consultation process developed, with different ones proposed in QIS4, CP74, in the final Level 2 guidance developed in response to feedback on CP74 and in the final Solvency II Delegated Act.

 

The Nematrian website makes available the following tools to help manipulate these correlations:

 

(a)    MnSolvencyII_SCRSFStressSetNames. Indicates acceptable stress set names (e.g. “DA” for the correlations contained in the final Solvency II Delegated Act).

 

(b)   MnSolvencyII_SCRSFOverallStressNames. Indicates acceptable stress names for a given StressSetName, e.g. ‘market’ and ‘life’.

 

(c)    MnSolvencyII_SCRSFOverallCorrs. Provides an array containing the correlation matrix. If there are  different stress names then is an array with  terms, ordered consistently with the ordering of the stress names given in (b).

 

(d)   MnSolvencyII_SCRSFCombineStresses. Combines different stresses using the correlation matrix and stress names as above. Works for sub-modules as well as the overall computation of the ‘Basic’ SCR.

 

Version dated 7 December 2015

 


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