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Optimal dividends in the dual model. (English) Zbl 1131.91026
The authors study the optimal dividend problem in case the surplus of a company is modelled as $U(t)=u-ct+S(t)$ where $$u$$ is the initial surplus, $$c$$ is the rate of expenses and $$S$$ is a compound Poisson process with positive jumps. This so-called dual model would be appropriate for companies that exhibit occasional gains, such as pharmaceutical or petroleum companies, in contrast to the more classical ’primal’ model that is suitable for insurance companies. The authors describe several methods to find the level of the optimal dividend and provide numerical illustrations.

##### MSC:
 91G50 Corporate finance (dividends, real options, etc.) 91B30 Risk theory, insurance (MSC2010) 60G51 Processes with independent increments; Lévy processes
##### Keywords:
compound Poisson process; positive jumps; barrier strategy
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##### References:
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