2 articles for “Cramer-Lundberg model”

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Research ArticleOpen accessPhrase in the titleDividend Maximization in the Cramer-Lundberg Model using Homotopy Analysis MethodJuma Kasozi, Fred Mayambala, Charles Wilson MaheraProblem statement: We used the Homotopy Analysis Method (HAM) to numerically compute the value function of the dividend payment in the basic insurance process. Approach: The process is a constant income stream from premiums which is subtracted a claim process of the Poisson type. Further, an allowance for payment of dividends to share holders was incorporated. Results: The case when … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 31 Jan 2011 · 7,018 accessesView PDF Cite

Research ArticleOpen accessIn the abstractFlow of Dividends under a Constant Force of InterestJuma Kasozi, Jostein PaulsenThis study addresses the issue of maximization of dividends of an insurer whose portfolio is exposed to insurance risk. The insurance risk arises from the classical surplus process commonly known as the Cramér-Lundberg model in the insurance literature. To enhance his financial base, the insurer invests in a risk free asset whose price dynamics are governed by a constant force … …American Journal of Applied Sciences, Vol. 2, Issue 10 · 31 Oct 2005 · 7,386 accessesView PDF Cite