Summary
A model of stochastic processes is being developed which is suitable for dealing with problems of the collective theory of risk. The capital of an insurance company is represented as a stochastic process. With the help of this model an optimum payment of dividends can be found, that is the one for which with due consideration of the probability of ruin the expected rate of all dividend payments becomes a maximum.
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References
VergleicheWolff, “Versicherungsmathematik”, Springer-Verlag Wien, 1970 u. die dort angegebene Literatur.
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Wolff, KH. Optimale Dividendenzahlungen. Blätter DGVFM 9, 445–447 (1970). https://doi.org/10.1007/BF02809016
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DOI: https://doi.org/10.1007/BF02809016