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dc.contributor.advisorTaksar, Michael I., 1949-eng
dc.contributor.authorChen, Peimin, 1978-eng
dc.date.issued2010eng
dc.date.submitted2010 Falleng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on December 7, 2010).eng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionDissertation advisor: Dr. Michael Taksar.eng
dc.descriptionVita.eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionPh. D. University of Missouri--Columbia 2010.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mathematics.eng
dc.description.abstractIn this dissertation, I discuss the optimization of dividends of reinsurance companies with the terminal bankruptcy model, in which some money would be returned to shareholders at the state of terminal bankruptcy, meanwhile the tax rate and the In this dissertation, I discuss the optimization of dividends of reinsurance companies with the terminal bankruptcy model, in which some money would be returned to shareholders at the state of terminal bankruptcy, meanwhile the tax rate and the fixed transaction cost for each dividend are considered. The mathematical problem of maximizing the summation of expected total discounted dividends before bankruptcy and expected discounted returned money at the state of terminal bankruptcy becomes a mixed classical-impulse stochastic control problem. In order to solve this problem, I reduce it to quasi-variational inequalities with nonzero boundary condition. The main contribution of this dissertation is to explicitly construct and verify solutions of these inequalities, and to consequently present the optimal policy. As an application, the solution of the optimization of dividends under the nonterminal bankruptcy model is provided in the end.eng
dc.format.extentvii, 82 pageseng
dc.identifier.oclc705362495eng
dc.identifier.urihttps://hdl.handle.net/10355/10246
dc.identifier.urihttps://doi.org/10.32469/10355/10246eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Graduate School. Theses and Dissertations. Dissertations. 2010 Dissertationseng
dc.subject.lcshDividendseng
dc.subject.lcshLearning models (Stochastic processes)eng
dc.subject.lcshBankruptcyeng
dc.subject.lcshStochastic control theoryeng
dc.titleClassical and impulse stochastic control on the optimization of the dividends for the terminal bankruptcy model and its applicationeng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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