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Hedging of unit-linked life insurance contracts with unobservable mortality hazard rate via local risk-minimization

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1001 ‎$0‎MAPA20140007615‎$a‎Ceci, Claudia
24510‎$a‎Hedging of unit-linked life insurance contracts with unobservable mortality hazard rate via local risk-minimization‎$c‎Claudia Cecia, Katia Colaneria, Alessandra Cretarolab
520  ‎$a‎In this paper we investigate the local risk-minimization approach for a combined financial-insurance model where there are restrictions on the information available to the insurance company. In particular we assume that, at any time, the insurance company may observe the number of deaths from a specific portfolio of insured individuals but not the mortality hazard rate. We consider a financial market driven by a general semimartingale and we aim to hedge unit-linked life insurance contracts via the local risk-minimization approach under partial information. The FöllmerSchweizer decomposition of the insurance claim and explicit formulas for the optimal strategy for pure endowment and term insurance contracts are provided in terms of the projection of the survival process on the information flow. Moreover, in a Markovian framework, this leads to a filtering problem with point process observations
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20080555306‎$a‎Mortalidad
650 4‎$0‎MAPA20080611569‎$a‎Minimización de riesgos
650 4‎$0‎MAPA20080586294‎$a‎Mercado de seguros
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
7001 ‎$0‎MAPA20150006707‎$a‎Colaneria, Katia
7001 ‎$0‎MAPA20150006714‎$a‎Cretarolab, Alessandra
7730 ‎$w‎MAP20077100574‎$t‎Insurance : mathematics and economics‎$d‎Oxford : Elsevier, 1990-‎$x‎0167-6687‎$g‎12/01/2015 Volumen 60 Número - enero 2015 , p. 47-60