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引用本文:ŷ��,���,����Ⱥ,�ܽ���. ͨ�ͷ����µ�³������Ͷ��������ٱ��������о�[J]. 应用概率统计, 2016, 32(1): 89-100
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Robust Optimal Portfolio and Reinsurance for an Insurer under Inflation Risk
OU Hui,HUANG Ya,YANG Xiangqun,ZHOU Jieming. Robust Optimal Portfolio and Reinsurance for an Insurer under Inflation Risk[J]. Chinese Journal of Applied Probability and Statisties, 2016, 32(1): 89-100
Authors:OU Hui  HUANG Ya  YANG Xiangqun  ZHOU Jieming
Affiliation:College of Mathematics and Computer Sciences, Performance Computing and Stochastic Information Processing (Ministry of Education of China), Hunan Normal University; College of Business Administration, Hunan University
Abstract:??In this paper, we investigate a robust optimal portfolio andreinsurance problem under inflation risk for an ambiguity-averse insurer (AAI), who worriesabout uncertainty in model parameters. We assume that the AAI is allowed to purchaseproportional reinsurance and invest his/her wealth in a financial market which consists ofa risk-free asset and a risky asset. The objective of the AAI is to maximize the minimalexpected power utility of terminal wealth. By using techniques of stochastic control theory,closed-form expressions for the value function and optimal strategies are obtained.
Keywords:robust control  power utility  portfolio  reinsurance  inflation  
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