The Effect of Non-Proportional Reinsurance: A Revision of Solvency II Standard Formula

Solvency II Standard Formula provides a methodology to recognise the risk-mitigating impact of excess of loss reinsurance treaties in premium risk modelling. We analyse the proposals of both Quantitative Impact Study 5 and Commission Delegated Regulation highlighting some inconsistencies. This paper...

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Main Author: Gian Paolo Clemente
Format: Article
Language:English
Published: MDPI AG 2018-05-01
Series:Risks
Subjects:
Online Access:http://www.mdpi.com/2227-9091/6/2/50
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spelling doaj-cbf3bc3cfcd54947b56957244e335ea22020-11-24T22:55:19ZengMDPI AGRisks2227-90912018-05-01625010.3390/risks6020050risks6020050The Effect of Non-Proportional Reinsurance: A Revision of Solvency II Standard FormulaGian Paolo Clemente0Department of Mathematics, Finance and Econometrics, Università Cattolica del Sacro Cuore, Largo Gemelli 1, 20123 Milano, ItalySolvency II Standard Formula provides a methodology to recognise the risk-mitigating impact of excess of loss reinsurance treaties in premium risk modelling. We analyse the proposals of both Quantitative Impact Study 5 and Commission Delegated Regulation highlighting some inconsistencies. This paper tries to bridge main pitfalls of both versions. To this aim, we propose a revision of non-proportional adjustment factor in order to measure the effect of excess of loss treaties on premium risk volatility. In this way, capital requirement can be easily assessed. As numerical results show, this proposal appears to be a feasible and much more consistent approach to describe the effect of non-proportional reinsurance on premium risk.http://www.mdpi.com/2227-9091/6/2/50Solvency IIpremium risk capital requirementnon-proportional reinsurancecollective risk models
collection DOAJ
language English
format Article
sources DOAJ
author Gian Paolo Clemente
spellingShingle Gian Paolo Clemente
The Effect of Non-Proportional Reinsurance: A Revision of Solvency II Standard Formula
Risks
Solvency II
premium risk capital requirement
non-proportional reinsurance
collective risk models
author_facet Gian Paolo Clemente
author_sort Gian Paolo Clemente
title The Effect of Non-Proportional Reinsurance: A Revision of Solvency II Standard Formula
title_short The Effect of Non-Proportional Reinsurance: A Revision of Solvency II Standard Formula
title_full The Effect of Non-Proportional Reinsurance: A Revision of Solvency II Standard Formula
title_fullStr The Effect of Non-Proportional Reinsurance: A Revision of Solvency II Standard Formula
title_full_unstemmed The Effect of Non-Proportional Reinsurance: A Revision of Solvency II Standard Formula
title_sort effect of non-proportional reinsurance: a revision of solvency ii standard formula
publisher MDPI AG
series Risks
issn 2227-9091
publishDate 2018-05-01
description Solvency II Standard Formula provides a methodology to recognise the risk-mitigating impact of excess of loss reinsurance treaties in premium risk modelling. We analyse the proposals of both Quantitative Impact Study 5 and Commission Delegated Regulation highlighting some inconsistencies. This paper tries to bridge main pitfalls of both versions. To this aim, we propose a revision of non-proportional adjustment factor in order to measure the effect of excess of loss treaties on premium risk volatility. In this way, capital requirement can be easily assessed. As numerical results show, this proposal appears to be a feasible and much more consistent approach to describe the effect of non-proportional reinsurance on premium risk.
topic Solvency II
premium risk capital requirement
non-proportional reinsurance
collective risk models
url http://www.mdpi.com/2227-9091/6/2/50
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