Optimal control strategies for the premium policy of an insurance firm with jump diffusion assets and stochastic interest rate
In this paper, we present a stochastic optimal control model to optimize an insurance firm problem in the case where its cash-balance process is assumed to be described by a stochastic differential equation driven by Teugels martingales. Noticing that the insurance firm is able to control its cash-b...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/193322 |
| Acceso en línea: | https://hdl.handle.net/2445/193322 |
| Access Level: | acceso abierto |
| Palabra clave: | Equacions diferencials estocàstiques Martingales (Matemàtica) Processos de Lévy Risc (Assegurances) Stochastic differential equations Martingales (Mathematics) Lévy processes Risk (Insurance) |
| Sumario: | In this paper, we present a stochastic optimal control model to optimize an insurance firm problem in the case where its cash-balance process is assumed to be described by a stochastic differential equation driven by Teugels martingales. Noticing that the insurance firm is able to control its cash-balance dynamics by regulating the underlying premium rate, the aim of the policy maker is to select an appropriate premium in order to minimize the total deviation of the state process to some pre-set target level. As a part of stochastic maximum principle approach, a verification theorem is used to fulfill this achievement. |
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