The Study On Actuary Model Of Life Insurance Under Stochastic Interest Rate

Life insurance is a kind of long-term economic action. Government's policies, economic cycle and etc would cause uncertainties during the insurance period, which also means the risk. Therefore, the usage of fixed rate would lead to a huge difference between the expected result and the real result.People began to notice that the risk come together with the randomicity of the rate is huge for insurance company. According to the traditional actuary theory, the risk caused by the randomicity of death rate can be decentralized by selling lots of insurances slips, but the situation is if the insurance slips' rate is quite close to the real rate, the risk will only taken by the insurance company, once it happen, the insurance company would bankrupt. In order to decrease the risk might caused by the change in rate, insurance company used to use a comparison lower rate, but this would increase the insurance holder's cost, lead to the decrease in the number of insurance holders. Therefore, the better way to solve this problem is to use random rate model.The life insurance and the annuity insurance are two fundamental modes in the life insurance operation, this article to these two kind of safe forms essence calculated the technology conducts the research, separately has established under the stochastic interest rate the entire separate as well as the continual life insurance fine calculates the model. Under the continual condition, carried on the stochastic interest rate winner model the promotion to establish has obeyed in the mortality rate under the even distribution the life insurance fine to calculate the model, and from this produced the essence which two kind of special annuities paid to calculate was presently worth the mold to break downThe thesis includes 5 sections:Section 1: exordium, explained the study background, purpose and method.Section 2: start form the basic principles, analyzed the measurement of rate, the basic principle involved, and the common measure method.Section3: under the third chapter quite systematic elaboration fixed interest rate life insurance fine has calculated the basic principle: Including fine calculates the current value the basic definition, the survival function nature, the determination annuity several kind of forms, the life periodic table in the formulation mortality rate supposition time vital role.