The dual risk model is a popular model in finance and insurance, which is mainly used to model the wealth process of a venture capital or high tech company. Optimal dividends have been extensively studied in the literature for the dual risk model. It is well known that the value function of this optimal control problem does not yield closed-form formulas except in some special cases. In this paper, we study the asymptotics of the optimal dividends problem when the parameters  go to either zero or infinity. Our results provide us insights to the optimal strategies and the optimal values when the parameters are extreme.
The dual risk model is a popular model in finance and insurance, which is often used to model the wealth process of a venture capital or high tech company. Optimal dividends have been extensively studied in the literature for the dual risk model. It is well known that the value function of this optimal control problem does not yield closed-form solutions except in some special cases. In this paper, we study the asymptotics of the optimal dividends problem when the parameters of the model go to either zero or infinity. Our results provide insights to the optimal strategies and the optimal values when the parameters are extreme.
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mainly
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formulas
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of the model
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us