Consider the following fully discrete special insurance issued to (35). You are given

The death benefit 0, o.w.

bk = 100e0.02(k11), The premium rate

k = 11, 12, ..., 30

C(20k), k= 0, o.w.

The annuity rate 0, o.w.

(a) Find C. (b) Define the prospective loss.

k=0,1,...,14

gk = =8%and(x)=1/(102x)for0

0.01(k30) 1000e

,

k = 30, 31, ...

.

(c) Define and find 5V and 35V (retrospectively and prospectively). (d) Find Pr[5L 5].

1. Consider the following fully discrete special insurance issued to (35). You are given The death benefit 0.W. bk {i 0, 100e0.02(k-11), k= 11, 12, ..., 30 The premium rate Tk { C(20 k), k = 0, 1, ..., 14 0, 0.w. The annuity rate 0.w. 9k { 0, 1000e0.01(k-30), k = 30, 31, ... .8=8% and u(I) = 1/(102 x) for 0 5). 1. Consider the following fully discrete special insurance issued to (35). You are given The death benefit 0.W. bk {i 0, 100e0.02(k-11), k= 11, 12, ..., 30 The premium rate Tk { C(20 k), k = 0, 1, ..., 14 0, 0.w. The annuity rate 0.w. 9k { 0, 1000e0.01(k-30), k = 30, 31, ... .8=8% and u(I) = 1/(102 x) for 0 5)