Studies On Life Insurance Actuarial Method And Applications

The subject makes the detailed summary to the elementary knowledge,the birth and the development of insurance and the world insurance business and our country insurance business.Introduces the elementary knowledge of the actuarial , compares the domestic's actuarial development condition with the foreign's, makes the detailed summary to the basic theory principle of the life insurance.The article does the thorough research to the life insurance actuarical method,based on the probability,the mathematics statistic,the actuarial mathematics,the risk theory,the interest theory,the insurance science,the smoothing mathematics ,the life science, the operational research and the psychology.At last ,the article constructs multianalysis life insurance actuarial model.It consists of five chapters:Chapter One: The subject makes the detailed summary to the elementary knowledge, the birth and the development of insurance and the world insurance business and our country insurance business. Introduces the elementary knowledge of the actuarial , compares the domestic's actuarial development condition with the foreign's .Chapter Two: Makes the detailed summary to interest theory, annuity theory, life model, life table function.Chapter Three: Third chapter introduces the concept of the premium and the actuarial present value, as well as make the detailed summary to the main kind of insurance that the pure insurance premium and the balanced pure insurance premium. At last , the chapter summarize the actuarial present value for the different survival annuity.Chapter Four: First basic supposition of the fixed price is introduced, namely mortality rate, interest rate, failure rate, expense rate, average insured value. Then the method on the products pricing of the property share and the discount cash flow are introduced, and the two methods are made the comparison, the products pricing law of the property share is made improvement . Moreover the pure insurance premium is carried on the certain innovation. Finally, a basic principle (expected utility principle)on the products pricing is introduced, and the application in the pure premium on the multi-element risk model.Chapter Five: There are the most innovates in this chapter. First, the family condition in the future is analysed. In analysing about muliti-life function, introducing the situation of three element,especially while considering the death order, consider a person dies before other two people, but these two people are a kind of state of jointly surviving. Second,two kinds of association situations and two models are considered here. The first place is the couple and only children, the second place is couple own. At the last, the actuarial present value on the life insurance and annuity are calculatedChapter Six : Summary and prospect of the article is here.