As a small financial analyst, you have been selected by a client to provide assistance in the following cases:

A. Explain why the Future Value of an annuity due is always greater than the Future Value of an ordinary annuity with the same rate of return and the same amount of periods. (4 marks)

B. Marcia is planning to buy a car in five years time. She estimates that the car would cost $2,500,000.000. Given that the existing interest rate is 12 %, how much money should she invest now? (5 marks)

C. Marcia has an option to invest in an insurance policy at a rate of 20 % to achieve her goal of purchasing the car for $ 2,500,000. How much should she invest at the beginning of each year for the next 5 years in order to achieve her goal? (5 marks)

D. If the interest rate decreases from 20% to 15%, by how much would Marcias annual investment in part C. change? (6 marks) (Total 20 marks)