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Index insurance design

Recurso electrónico / Electronic resource
Registro MARC
Tag12Valor
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001  MAP20190019484
003  MAP
005  20220911202854.0
008  190621e20190501esp|||p |0|||b|spa d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
100  ‎$0‎MAPA20190008341‎$a‎Zhang, Jinggong
24510‎$a‎Index insurance design‎$c‎Jinggong Zhang, Ken Seng Tan, Chengguo Weng
300  ‎$a‎34 p.
520  ‎$a‎In this article, we study the problem of optimal index insurance design under an expected utility maximization framework. For general utility functions, we formally prove the existence and uniqueness of optimal contract and develop an effective numerical procedure to derive the optimal solution. For exponential utility and quadratic utility functions, we obtain analytical expression of the optimal indemnity function. Our results show that the indemnity can be a highly nonlinear and even non-monotonic function of the index variable in order to align with the actual loss variable so as to achieve the best reduction in basis risk. Due to the generality of model setup, our proposed method is readily applicable to a variety of insurance applications including index-linked mortality securities, weather index agriculture insurance, and index-based catastrophe insurance. Our method is illustrated by numerical examples where weather index insurance is designed for protection against the adverse rice yield using temperature and precipitation as the underlying indices. Numerical results show that our optimal index insurance significantly outperforms linear-type index insurance contracts in terms of basis risk reduction.
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20080598358‎$a‎Productos de seguros
650 4‎$0‎MAPA20080633578‎$a‎Índices estadísticos de accidentabilidad
700  ‎$0‎MAPA20100003206‎$a‎Seng Tan, Ken
7001 ‎$0‎MAPA20080119546‎$a‎Weng, Chengguo
7730 ‎$w‎MAP20077000420‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎0515-0361‎$g‎01/05/2019 Volumen 49 Número 2 - mayo 2019 , p. 491-523