Centro de Documentacion de Fundación MAPFRE - Optimal dividends paid in a foreign currency for a Lévy Insurance risk model

MAP20210026348

Optimal dividends paid in a foreign currency for a Lévy Insurance risk model / Julia Eisenberg, Zbigniew Palmowski

Sumario: This article considers an optimal dividend distribution problem for an insurance company where the dividends are paid in a foreign currency. In the absence of dividend payments, our risk process follows a spectrally negative Lévy process. We assume that the exchange rate is described by a an exponentially Lévy process, possibly containing the same risk sources like the surplus of the insurance company under consideration. The control mechanism chooses the amount of dividend payments. The objective is to maximize the expected dividend payments received until the time of ruin and a penalty payment at the time of ruin, which is an increasing function of the size of the shortfall at ruin. A complete solution is presented to the corresponding stochastic control problem. Via the corresponding HamiltonJacobiBellman equation we find the necessary and sufficient conditions for optimality of a single dividend barrier strategy. A number of numerical examples illustrate the theoretical analysis

En: North American actuarial journal. - Schaumburg : Society of Actuaries, 1997- = ISSN 1092-0277. - 06/09/2021 Tomo 25 Número 3 - 2021 , p. 417-437

1. Gerencia de riesgos . 2. Moneda . 3. Reparto de dividendos . I. Palmowski, Zbigniew . II. Título.