Joint Insurance Actuarial Model Based On The Random Interest Rate And Lives Dependent State

Actuarial science applies the knowledge and principles of mathematics,finance,insurance and demography in the quantitative analysis of all aspects within the mana-gement of the insurance industry,providing scientific basis and tools for raising the level of management and making strategies.With the development of insurance,actuarial science is more and more important.Life insurance is a long-term business.Interest rate is an important factor in calculating of premium and reserves.The traditional actuarial theory mainly use deterrninistic interest rate.However,with the rapid development of finance,interest rate changes fast with market,policy and so on,so considering random interest rates in life insurance is necessary.Introduced in this paper,based on the random interest rate and more life dependent state joint insurance actuarial model,especially for the random interest rate and life more dependent comprehensive consideration,expounds in detail.Based on the joint insurance actuarial model,first considering a variety of states(such as endowment insurance,disabi-lity insurance,life insurance,etc.)under the combination of policy and join the random interest rate and the influent factors of life more dependency,introduces the Markov state model to describe include life insurance,disability,annuities multiple state policy.Second to further introduce the randomness of the interest rates and joint function,using the classic Wiener process model and the Common Shock model,study on the random interest rate and life more dependent under the influence of the combination of a variety of state insurance actuarial model.