Discussion About Some Annuities And Life Annuities

In this paper, firstly the fluctuation of the interest rate and the research situation of the life insurance actuary models with random interest rate are introduced as well as the elementary notion about life annuities and annuities. On the basis of this, some annuities and life annuities with certain interest rate are more discussed. The property of m power of the present value about the discrete and continuous annuities is found as well as some recursion formulae and differential equations about some life annuities. On the other hand, the moment, the second moment and variance of the present value random variables about some life annuities and annuities with random interest rate are gotten.