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Question 2 a. 3 3 Auto Scroll Read Mode Background" Screen Grab Find and As a young graduate, you have plan to buy your dream car in three years time. You believe that the car will cost RM50,000 at that time. You have two sources of money to reach your goal of RM50,000. First, you will save money for the next three years in a money market fund that will give return of 8% annually. You plan to invest RM5,000 annually to this fund. You will make yearly investments at the BEGINNING of the year. The second source of money will be getting a car loan on the day you buy the car. You anticipate the car dealer to charge you 6% per annum for the loan with monthly compounding for a term of 60 months. To buy your dream car, what monthly car payment will you anticipate? Assume the first payment will be made one month after the car is purchased. [6 marks] Activate Wir MD148% - b. C. Auto Scroll Read Mode Background" Screen Grab Find and [b marks] In five years time, you plan to pursue your further study on DBA. You know that graduate studies can be expensive and you estimate that it will cost RM50,000 per year for tuition fee and other expenses. These payments will be made at the BEGINNING of the year. To have enough money to attend graduate school, you have decided to start saving TODAY by investing in a money market fund that pays 4% per annum with monthly compounding. You will make monthly deposits into the account starting TODAY for the next five years. How much will you need to deposit each month to have enough money for graduate school? (Assume that money that is not withdrawn remains in the account during graduate school and the DBA will take three years to complete) HB 00 [6 marks] Activate Win If you can earn 5% (compounded annually) on an investment, how long does it take for your money to triple? Go to Settings fo 回访口 148% + PDF to Word PDF to Picture C. d. 0 Annotate DOD00 Rotate 0 00- H Auto Scroll Read Mode Background" Screen Grab Find and [6 marks] If you can earn 5% (compounded annually) on an investment, how long does it take for your money to triple? [4 marks] You are offered a security that will pay you RM2,500 at the end of the year forever. If your discount rate is 8%, what is the most you are willing to pay for this security? [4 marks] [TOTAL: 20 MARKS]

Answer :

To buy the dream car, the anticipated monthly car payment will be RM861.45.

Calculate the future value of savings in the money market fund.

Annual investment = RM5,000

Number of years = 3

Interest rate = 8% compounded annually

Using the future value formula: FV = P(1 + r)^n

FV = RM5,000 * (1 + 0.08)^3 = RM6,120

Determine the loan amount needed to reach the goal.

Dream car cost = RM50,000

Savings in the money market fund = RM6,120

Loan amount needed = RM50,000 - RM6,120 = RM43,880

Calculate the monthly car payment.

Loan term = 60 months

Interest rate = 6% per annum with monthly compounding

Using the loan repayment formula: PMT = (r * PV) / (1 - (1 + r)^-n)

Where PMT is the monthly payment, r is the monthly interest rate, PV is the loan amount, and n is the number of months.

Monthly interest rate = 6% / 12 = 0.005

PMT = (0.005 * RM43,880) / (1 - (1 + 0.005)^-60) ≈ RM861.45

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