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New version applies from 02/04/2016 — introduced by Commission Delegated Regulation (EU) 2016/467, Commission Delegated Regulation (EU) 2016/2283. 363 provisions change. Later versions: 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 117 changes in this version: compare with the current text.

Article 117 - Standard deviation for non-life premium and reserve risk

Article 117
Standard deviation for non-life premium and reserve risk

1. The standard deviation for non-life premium and reserve risk shall be equal to the following:

\sigma_{\mathrm{nl}} = \frac{1}{V_{\mathrm{nl}}} \cdot \sqrt{\sum_{\mathrm{s,t}} \mathrm{CorrS}_{(\mathrm{s,t})} \cdot \sigma_{\mathrm{s}} \cdot V_{\mathrm{s}} \cdot \sigma_{\mathrm{t}} \cdot V_{\mathrm{t}}}

where:

((a))

Vnldenotes the volume measure for non-life premium and reserve risk;

((b))

the sum covers all possible combinations (s,t) of the segments set out in Annex II;

((c))

CorrS(s,t)denotes the correlation parameter for non-life premium and reserve risk for segmentsand segmenttset out in Annex IV;

((d))

σsandσtdenote standard deviations for non-life premium and reserve risk of segmentssandtrespectively;

((e))

VsandVtdenote volume measures for premium and reserve risk of segmentssandt, referred to in Article 116, respectively.

2. For all segments set out in Annex II, the standard deviation for non-life premium and reserve risk of a particular segment s shall be equal to the following:

\sigma_{\mathrm{s}}=\frac{\sqrt{\sigma_{(\mathrm{prem},\mathrm{s})}^{2} \cdot V_{(\mathrm{prem},\mathrm{s})}^{2}+\sigma_{(\mathrm{prem},\mathrm{s})} \cdot V_{(\mathrm{prem},\mathrm{s})} \cdot \sigma_{(\mathrm{res},\mathrm{s})} \cdot V_{(\mathrm{res},\mathrm{s})}+\sigma_{(\mathrm{res},\mathrm{s})}^{2} \cdot V_{(\mathrm{res},\mathrm{s})}^{2}}}{V_{(\mathrm{prem},\mathrm{s})}+V_{(\mathrm{res},\mathrm{s})}}

where:

((a))

σ(prem,s)denotes the standard deviation for non-life premium risk of segmentsdetermined in accordance with paragraph 3;

((b))

σ(res,s)denotes the standard deviation for non-life reserve risk of segmentsas set out in Annex II;

((c))

V(prem,s)denotes the volume measure for premium risk of segmentsreferred to in Article 116;

((d))

V(res,s)denotes the volume measure for reserve risk of segmentsreferred to in Article 116.

3. For all segments set out in Annex II, the standard deviation for non-life premium risk of a particular segment shall be equal to the product of the standard deviation for non-life gross premium risk of the segment set out in Annex II and the adjustment factor for non-proportional reinsurance. For segments 1, 4 and 5 set out in Annex II the adjustment factor for non-proportional reinsurance shall be equal to 80 %. For all other segments set out in Annex the adjustment factor for non-proportional reinsurance shall be equal to 100 %.

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