Answer the following questions kindly.

Question 1

The premiums under a whole life assurance with sum assured S issued to a life aged x are payable annually in advance throughout life. The premium is calculated assuming that the following expenses will be incurred: Initial expenses: Renewal expenses: 100k % of each premium after the first Claim related expenses: 100c % of the sum assured Write down equations linking the gross premium reserves at the end of successive policy years. [4]A life table with a select period of 2 years is based on rates of mortality, which satisfy the following relationship: (0 (ii) 1 91kg\" =ED