You are given a life table with a oneyear select period Give

You are given a life table with a one-year select period. Given also that e[85] = 5.556, and that deaths are uniformly distributed over the year of age, find e[86]. The Following is given using ACTUARIAL NOTATION.

Solution

(e)_[85] = 0.5*q_[85] + 1.5*1|q_[85] + 2p_[85]*(2 + (e)_[87])
q_[85]= 100/1000
1|q_[85]=(900 - 750)/1000
2p_[85]=750/1000
ie. (e)_[87] = 5.0413333

ans: (e)_[86] = 0.5*q_[86] + p_[86]*(1+5.041333)
= 0.5*(100/850) + (750/850)*(1+5.041333)
= 5.39