QUESTION 2 (25 MARKS)

a) Ranjita is going to graduate from Multimedia University three years from now. She is confident of earning a monthly salary of RM2,500 for her first job.

i) If she plans to save RM10,000 as the down payment for buying a new car after 2 years, how much must Ranjita save monthly in a savings account with an interest rate of 2% p.a. compounding monthly. (5 marks)

ii) Assuming Ranjia has managed to save RM10,000 after 2 years, compute the monthly installment for a 7-year hire purchase charging 4% p.a. to acquire a new car worth RM70,000. (5 marks)

b) Jonas has invested in an annuity policy fund which requires him to place an annual deposit of RM10,000 for the next 20 years. During this period, an interest rate of 10% p.a. will be earned for the first 5 years, followed by an interest rate of 8% p.a. for the next 5 years and 6% p.a. for the remaining years. Compute the accumulated amount at the end of 20 years. (15 marks)