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Joint insolvency analysis of a shared MAP risk process : a capital allocation application

Recurso electrónico / Electronic resource
Registro MARC
Tag12Valor
LDR  00000cab a2200000 4500
001  MAP20170033172
003  MAP
005  20171103132710.0
008  171017e20170605esp|||p |0|||b|spa d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
24500‎$a‎Joint insolvency analysis of a shared MAP risk process‎$b‎: a capital allocation application‎$c‎Jun Cai... [et al.]
520  ‎$a‎In recent years, multivariate insurance risk processes have received increasing attention in risk theory. First-passage-time problems in the context of these insurance risk processes are of primary interest for risk management purposes. In this article we study joint-ruin problems of two risk undertakers in a proportionally shared Markovian claim arrival process. Building on the existing work in the literature, joint-ruinrelated quantities are thoroughly analyzed by capitalizing on existing results in certain univariate insurance surplus processes. Finally, an application is considered where the finite-time and infinite-time joint-ruin probabilities are used as risk measures to allocate risk capital among different business lines. The proposed joint-ruin allocation principle enables us to not only capture the risk dynamics over a given time horizon, but also overcome the cross-subsidizing effect of many existing allocation principles.
650 4‎$0‎MAPA20080588953‎$a‎Análisis de riesgos
650 4‎$0‎MAPA20080572730‎$a‎Mapa de riesgos
7730 ‎$w‎MAP20077000239‎$t‎North American actuarial journal‎$d‎Schaumburg : Society of Actuaries, 1997-‎$x‎1092-0277‎$g‎05/06/2017 Tomo 21 Número 2 - 2017 , p. 178-192