Annuity A has 20 years annual payments as follows:- i) The first payment is 1000 made at the end of the first year. ii) iii) The subsequent payments increase by 3% from the previous years. The effective interest rate is 5% per annum. Annuity B has 20 years annual payments as follows:- i) The first payment is X made at the end of the first year. ii) The subsequent payments increase by X from the previous years. iii) The effective interest rate is 6% per annum. Annuity C is an annuity immediate of 20-year annual level payments with effective interest rate of 7% per annum. Evaluate, (a) Present value of Annuity A [6 marks] (b) X if present value of Annuity A is equal to present value of Annuity B. [3 marks] (c) Level payment of Annuity C if present value of Annuity C is TWICE the present value of Annuity A. [3 marks] (d) Sum of future value of these annuities at the end of 20 years. [3 marks]