Picture as attached. Course is Actuarial Financial Mathematics.

Sufcient work must be shown to get complete credit. Write your solutions clearly and circle your nal answer. Whenever possible, please give answers to three decimal places e.g., xx.xxx% and $xx,xxx.xxx. 1. You are given: (i) The force of interest at time t is kt3. (ii) R is the present value of a four year continuously increasing annuity which has a rate of payment of mt3 at time t. Calculate R. _ k (A) k 711:8 4 64k (B) k "f (C) 1'"; M (D) 12864]: m(1 66416) (E) T