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In this paper, the surplus of an insurance company is modeled by a Markovian regimeswitching diffusion process. The insurer
decides the proportional reinsurance and investment so as to increase revenue. The regime-switching economy consists of a
fixed interest security and several risky shares. The optimal proportional reinsurance and investment strategies with no short-selling
constraints for maximizing an exponential utility on terminal wealth are obtained. 相似文献
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30多年的改革开放,使得我国民营经济取得了快速发展。目前,我国民营经济总最已经占到了整个国民经济总量的一半以上,其中小微企业数最更是占到80%以上。但由于机制的不完善,民间资本投资难,中小微型企业融资难的尴尬情况也伴随着我国的改革开放进程日渐显现。 相似文献
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We study optimal investment and proportional reinsurance strategy in the presence of inside information. The risk process is assumed to follow a compound Poisson process perturbed by a standard Brownian motion. The insurer is allowed to invest in a risk-free asset and a risky asset as well as to purchase proportional reinsurance. In addition, it has some extra information available from the beginning of the trading interval, thus introducing in this way inside information aspects to our model. We consider two optimization problems: the problem of maximizing the expected exponential utility of terminal wealth with and without inside information, respectively. By solving the corresponding Hamilton-Jacobi-Bellman equations, explicit expressions for their optimal value functions and the corresponding optimal strategies are obtained. Finally, we discuss the effects of parameters on the optimal strategy and the effect of the inside information by numerical simulations. 相似文献