Question 4 (25 marks) (a) You have just taken out a loan that you need to pay off 18 months from now with a single payment. You plan to make two equal deposits of $100,000 each into a return-guaranteed investment account that will ensure you to have the exact amount to pay off the loan. The first deposit will be made today while the second payment eight months from now. The account earns a monthly interest rate of 1%. (1) What is the size of the loan that you have taken? (3 marks) (ii) Calculate the total amount of interests that you have paid for this loan. (4 marks) (iii) Continued from part (). Now suppose the loan repayment arrangement allows you to pay off the loan by monthly instalments (instead of a single payment in 18 months). Determine the size of the payments if the first payment is to be made today (i.e., at the beginning of each month). (4 marks)