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Optimal proportional insurance under claim habit

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084  ‎$a‎6
24500‎$a‎Optimal proportional insurance under claim habit‎$c‎Jingyi Cao...[et al.]
520  ‎$a‎This paper analyzes a two-period optimal insurance problem in which a policyholder with meanvariance preferences purchases proportional insurance, and premiums depend on claim history through a variance-based principle. We derive the time-consistent optimal strategy in closed form and the constant precommitment strategy in semi-closed form. For the general precommitment case, we obtain a semi-explicit second-period solution and a numerical first-period solution. We also compare the three optimal strategies and study how key parameters influence decisions and value functions
650 4‎$0‎MAPA20080592011‎$a‎Modelos actuariales
650 4‎$0‎MAPA20080557379‎$a‎Bonus-malus
650 4‎$0‎MAPA20080594633‎$a‎Análisis de varianza
650 4‎$0‎MAPA20080603120‎$a‎Procesos estocásticos
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
7001 ‎$0‎MAPA20260001609‎$a‎Cao, Jingyi
7102 ‎$0‎MAPA20100017661‎$a‎International Actuarial Association
7730 ‎$w‎MAP20077000420‎$g‎19/01/2026 Volume 56 Issue 1 - January 2026 , p. 220 - 242‎$x‎0515-0361‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association