Investing in your own and peers' risks : the simple analytics of P2P insurance

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<title>Investing in your own and peers' risks</title>
<subTitle>: the simple analytics of P2P insurance</subTitle>
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<namePart>Denuit, Michel</namePart>
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<abstract displayLabel="Summary">This paper studies a peer-to-peer (P2P) insurance scheme where participants share the first layer of their respective losses while the higher layer is transferred to a (re-)insurer. The conditional mean risk sharing rule proposed by Denuit and Dhaene (Insur Math Econ 51:265270, 2012) appears to be a very convenient way to distribute retained losses among participants, as shown by Denuit (ASTIN Bull 49:591617, 2019). The amount of contributions paid by participants is determined by splitting it into the price of the stop-loss protection limiting the community's total payout and an appropriate provision for the coverage of the lower layer which is mutualized inside the P2P community. As an application, the paper considers the case of a P2P insurance scheme when losses are modeled by independent compound Poisson sums with integer-valued severities (resulting from discretization). Some extensions are also discussed.

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<note type="statement of responsibility">Michel Denuit</note>
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<topic>Matemática del seguro</topic>
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<topic>Cálculo actuarial</topic>
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<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20090041721">
<topic>Distribución Poisson-Beta</topic>
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<title>European Actuarial Journal</title>
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<publisher>Cham, Switzerland  : Springer Nature Switzerland AG,  2021-2022</publisher>
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<identifier type="local">MAP20220007085</identifier>
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<text>07/12/2020 Número 2 - diciembre 2020 , p. 335-359</text>
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