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On two actuarial quantities for the compound Poisson risk model with tax and a threshold dividend strategy 被引量:1

On two actuarial quantities for the compound Poisson risk model with tax and a threshold dividend strategy
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摘要 In this paper, we consider a compound Poisson risk model with taxes paid according to a loss-carry-forward system and dividends paid under a threshold strategy. First, the closed-form expression of the probability function for the total number of taxation periods over the lifetime of the surplus process is derived. Second, analytical expression of the expected accumulated discounted dividends paid between two consecutive taxation periods is provided. In addition, explicit expressions are also given for the exponential individual claims. In this paper, we consider a compound Poisson risk model with taxes paid according to a loss-carry-forward system and dividends paid under a threshold strategy. First, the closed-form expression of the probability function for the total number of taxation periods over the lifetime of the surplus process is derived. Second, analytical expression of the expected accumulated discounted dividends paid between two consecutive taxation periods is provided. In addition, explicit expressions are also given for the exponential individual claims.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2013年第1期27-39,共13页 高校应用数学学报(英文版)(B辑)
基金 Supported in part by the National Natural Science Foundation of China, the Guangdong Natural Science Foundation (S2011010004511) the Fundamental Research Funds for the Central Universities of China (201120102020005)
关键词 Compound Poisson risk model total number of taxation periods expected accumulated discounted dividends. Compound Poisson risk model, total number of taxation periods, expected accumulated discounted dividends.
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