The Optimal Dividend Problem and the Voluntary Ruin Barrier in the Compound Poisson Model with Debit Interest
Jinyan Zhao, Liu Guoxin
Abstract
Jinyan Zhao, Liu Guoxin
Abstract
We consider the optimal dividend problem in the restricted dividend rate setting in the compound Poisson model with debit interest. And find a new ruin barrier-voluntary ruin barrier below which the insurers would rather stop their activities than continue taking the debit. Explicit solutions are given out when the claim amount distribution is exponential.
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We consider the optimal dividend problem in the restricted dividend rate setting in the compound Poisson model with debit interest. And find a new ruin barrier-voluntary ruin barrier below which the insurers would rather stop their activities than continue taking the debit. Explicit solutions are given out when the claim amount distribution is exponential.
Key concepts: Dividend, Poisson distribution, Exponential distribution, Exponential function, Interest rate, Ruin theory, Compound Poisson process, Mathematics