Research On Optimal Insurance Strategy Under Ambiguity Condition

In recent years,with the number of company in insurance industry increasing and the scale of such companies expanding,the number of personnel engaged in relevant insurance sectors has also been on the rise.The alteration of people's concept and the transition of investment and consumption,as well as the change of insurance awareness and conception,have boosted the improvement of their purchase desire.In the meanwhile,the government has also scaled up support in the insurance industry,as demonstrated in the policy of "ten points" Suggestions for Developing and Reforming Insurance Sector set out by the State Council.As they pointed out that all regions and departments should understand and realize the significance of stepping up efforts to reform and develop insurance sector.In such a context,the insurance industry could grow in an orderly way.Taking into consideration the huge figure of economy in China,we should continue our related research in the insurance sector.Based on real facts,the thesis aims to introduce a smooth ambiguity expected unity model by considering the ambiguity of loss distribution from the perspective of insurance applicant,thus seeking the optimized solution for designing insurance strategies and finding the optimal solution for deductible in a specific payment structure.In the process of seeking solution through modeling,the author is intended to design insurance strategies through mathematic ways and seek optimal insurance strategies that are not only reasonable but acceptable for insurers and insurance applicants.By applying real unity function,ambiguity function and loss distribution,the author is able to seek the formula of deductible in an optimal payment structure.The thesis consists of three chapters.The first chapter,called introduction,mainly gives an introduction to this paper 's research background,a summary of insurance research and main content and elaborates on the status quo of insurance strategy research in the context of optimal insurance design and ambiguity at home and abroad.The second chapter is made up of three partshaving a detailed description of relevant theories related to model building,introducing the basic concept of insurance and the basic form of payment function and knowing that insurance strategy can generally be divided into such categories as deductible and payment with upper limit;analyzing the risk measure of expectation unity,making clear different attitudes and their measure methods by citing an example of gambling game when they face risks;and proving the optimal solution under a constrained condition through mathematic analysis.The third chapter includes two components.First,from the perspective of insurance applicant and through model building,the author seeks the form of optimal payment structure in the context of no ambiguity and applies it to the form and continues to seek the formula of optimal deductible;second,by introducing a smooth ambiguity aversion model and by applying real unity function and ambiguity function as well as loss distribution to the model,the author seeks the formula of optimal deductible in the optimal payment structure.