Abstract: The compound Poisson risk model is a probabilistic model commonly used to evaluate the financial risk of an insurance company. This model assumes that claims arrive according to a Poisson process and that claim sizes follow an independent probability distribution. This paper presents an extension of this model, incorporating a dividend payment strategy with a constant threshold b. This extension allows for a better representation of the reality of insurance companies, which typically pay dividends to their shareholders. The traditional assumption of independence between claim sizes and interclaim intervals is also relaxed in this extension. This relaxation allows for recognition of the potential dependence between these variables, which can have a significant impact on the company’s ruin probability. The Spearman copula is used to model the dependent structure between claim sizes and interclaim intervals. The Spearman copula is a function that measures the degree of dependence between two variables. It is used in many fields, including insurance, finance, and statistics. The study focuses on the Laplace transform of the adjusted penalty function. The adjusted penalty function is a function that allows for the determination of the company’s ruin probability. The results of the study show that the dependence between claim sizes and interclaim intervals can have a significant impact on the company’s ruin probability. In particular, positive dependence between these variables can increase the ruin probability.Abstract: The compound Poisson risk model is a probabilistic model commonly used to evaluate the financial risk of an insurance company. This model assumes that claims arrive according to a Poisson process and that claim sizes follow an independent probability distribution. This paper presents an extension of this model, incorporating a dividend payment stra...Show More