Answer the following question

A life insurance company sells with-profit whole life policies, with the sum assured payable immediately on the death of the life assured and with premiums payable annually in advance ceasing with the policyholder's death or on reaching age 65 if earlier. The company markets two versions of this policy, one with simple reversionary bonuses and the other with compound reversionary bonuses. In both cases the bonuses are added at the end of the policy year. The company prices the products using the following basis: Mortality AM92 Select Interest 4% per annum Expenses initial (250 renewal 2% of second and subsequent premiums claim $150 at termination of contract Bonuses simple 6% of basic sum assured per annum compound 4% of accumulated sum assured and bonuses per annum (i) Write down an expression for the gross future loss at the point of sale for each of these policies, assuming they are sold to a life aged x exact (x