Basis risk management and randomly scaled uncertainty

This paper proposes a method for quantifying the basis risk present in index-based insurance. It applies when the inherent uncertainty is represented by a randomly scaled variable. This turns out to be a reasonable assumption in a number of practical situations. Several properties of such a variable...

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Detalles Bibliográficos
Autores: Claramunt Bielsa, M. Mercè, Lefèvre, Claude, Loisel, Stéphane, Montesinos, Pierre
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2022
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/191965
Acceso en línea:https://hdl.handle.net/2445/191965
Access Level:acceso abierto
Palabra clave:Risc (Assegurances)
Funcions convexes
Incertesa
Variables aleatòries
Risk (Insurance)
Convex functions
Uncertainty
Random variables
Descripción
Sumario:This paper proposes a method for quantifying the basis risk present in index-based insurance. It applies when the inherent uncertainty is represented by a randomly scaled variable. This turns out to be a reasonable assumption in a number of practical situations. Several properties of such a variable are first briefly studied. Their order in the s-convex sense is discussed and the associated extreme distributions are obtained to generate the worst situations. In each scenario, the basis risk consequences are then assessed using a penalty function that takes into account the risk tolerances of the protection buyer. Basis risk limits for a fixed budget can also be set. The proposed approach is illustrated by a few simple examples.