Surplus Sharing with Coherent Utility Functions

We use the theory of coherent measures to look at the problem of surplus sharing in an insurance business. The surplus share of an insured is calculated by the surplus premium in the contract. The theory of coherent risk measures and the resulting capital allocation gives a way to divide the surplus...

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Main Authors: Delia Coculescu, Freddy Delbaen
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Risks
Subjects:
Online Access:http://www.mdpi.com/2227-9091/7/1/7
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author Delia Coculescu
Freddy Delbaen
author_facet Delia Coculescu
Freddy Delbaen
author_sort Delia Coculescu
collection DOAJ
description We use the theory of coherent measures to look at the problem of surplus sharing in an insurance business. The surplus share of an insured is calculated by the surplus premium in the contract. The theory of coherent risk measures and the resulting capital allocation gives a way to divide the surplus between the insured and the capital providers, i.e., the shareholders.
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spelling doaj.art-42266150a0654a0bb470f3612d0a2e5f2022-12-21T17:24:48ZengMDPI AGRisks2227-90912019-01-0171710.3390/risks7010007risks7010007Surplus Sharing with Coherent Utility FunctionsDelia Coculescu0Freddy Delbaen1Institut für Banking und Finance, Universität Zürich, Plattenstrasse 32, 8032 Zürich, SwitzerlandDepartement für Mathematik, ETH Zürich, Rämistrasse 101, 8092 Zürich, SwitzerlandWe use the theory of coherent measures to look at the problem of surplus sharing in an insurance business. The surplus share of an insured is calculated by the surplus premium in the contract. The theory of coherent risk measures and the resulting capital allocation gives a way to divide the surplus between the insured and the capital providers, i.e., the shareholders.http://www.mdpi.com/2227-9091/7/1/7coherencemonetary utilityinsurance benefitbenefit sharing
spellingShingle Delia Coculescu
Freddy Delbaen
Surplus Sharing with Coherent Utility Functions
Risks
coherence
monetary utility
insurance benefit
benefit sharing
title Surplus Sharing with Coherent Utility Functions
title_full Surplus Sharing with Coherent Utility Functions
title_fullStr Surplus Sharing with Coherent Utility Functions
title_full_unstemmed Surplus Sharing with Coherent Utility Functions
title_short Surplus Sharing with Coherent Utility Functions
title_sort surplus sharing with coherent utility functions
topic coherence
monetary utility
insurance benefit
benefit sharing
url http://www.mdpi.com/2227-9091/7/1/7
work_keys_str_mv AT deliacoculescu surplussharingwithcoherentutilityfunctions
AT freddydelbaen surplussharingwithcoherentutilityfunctions