Abstract
In this paper a dual model of classical risk theory is considered to study the expected value of discounted dividends using imbedding method. The optimal dividend strategy is obtained in different forms. By the same technique the classical model is also analyzed. Further in the dual model expenses of a company are taken as proportional to the surplus to obtain optimal barrier strategy. We also consider a model with two components of incomes to the company in analyzing the optimal dividend strategy. In the dual model jump-diffusion is also introduced to determine the two components of dividends due to jump-gains and jump-diffusion.
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