In this paper, by analysing relationship between insurance premium and insurance compensation, the derivative assets pricing theory and the partial differential equation are used to studythe pricing of insurance prod...In this paper, by analysing relationship between insurance premium and insurance compensation, the derivative assets pricing theory and the partial differential equation are used to studythe pricing of insurance products and establish insurance price models. In addition, insurance priceformulas for several general insurance types are also presented. The insurance pricing method thatis given in the paper doesn't depend on mortality ratio and the probability distribution of losses.It is an obvious difference between the insurance pricing method in the paper and the traditionalinsurance pricing methods. Thereby, this paper serves to develop a insurance pricing method, andhas important practical or immediate significance. Finally, the application of the method is given.展开更多
Traditional portfolio theory assumes that the return rate of portfolio follows normality. However, this assumption is not true when derivative assets are incorporated. In this paper a portfolio selection model is deve...Traditional portfolio theory assumes that the return rate of portfolio follows normality. However, this assumption is not true when derivative assets are incorporated. In this paper a portfolio selection model is developed based on utility function which can capture asymmetries in random variable distributions. Other realistic conditions are also considered, such as liabilities and integer decision variables. Since the resulting model is a complex mixed integer nonlinear programming problem, simulated annealing algorithm is applied for its solution. A numerical example is given and sensitivity analysis is conducted for the model.展开更多
文摘In this paper, by analysing relationship between insurance premium and insurance compensation, the derivative assets pricing theory and the partial differential equation are used to studythe pricing of insurance products and establish insurance price models. In addition, insurance priceformulas for several general insurance types are also presented. The insurance pricing method thatis given in the paper doesn't depend on mortality ratio and the probability distribution of losses.It is an obvious difference between the insurance pricing method in the paper and the traditionalinsurance pricing methods. Thereby, this paper serves to develop a insurance pricing method, andhas important practical or immediate significance. Finally, the application of the method is given.
文摘Traditional portfolio theory assumes that the return rate of portfolio follows normality. However, this assumption is not true when derivative assets are incorporated. In this paper a portfolio selection model is developed based on utility function which can capture asymmetries in random variable distributions. Other realistic conditions are also considered, such as liabilities and integer decision variables. Since the resulting model is a complex mixed integer nonlinear programming problem, simulated annealing algorithm is applied for its solution. A numerical example is given and sensitivity analysis is conducted for the model.
