The option is not A because, the formula written doesn't belong to increasing endowment assurance (IA)_x:n , but it belongs to the increasing term assurance.

I'm not sure if the answer is;

B - because, Increasing assurance formula is (I)x = (1+i)^1/2.(IA)x and I'm not sure if this applies to the endowment assurance as well. However, in one of my lecture slides, it is written that (I)x:n (endowment increasing assurance) = (I) term + (I) pure endowment , and deriving leads to: (1+i)^1/2(IA)_x:n term + N. (IA)_x:n pure endowment

C - EPV if death benefit n in the first year then decreases by 1 per subsequent year is (n+1)A_x:n term - (IA)_x:n term. in the question it says the first year benefit with n-1, that's why n only is possible

D

, Please give explanation

Which of the following is true? Select one: a. (IA)x:n=(IA)xvnnpx((IA)x+n+nAx+n) b. (IA)x:n(1+i)21(IA)x:n c. nAx:n1(IA)x:n1 is a n-year decreasing term assurance with first year benefit n1 and decreasing with 1 pa. d. None of the above