Note: Round your answers to 2 decimal places, unless stated otherwise. Ignore $ sign and commas in expression like 10,000 etc... Five years ago, Phuc purchased a new house. He was able to obtain a 30-year 4.5% (per annum, compounded monthly) amortised loan but he had to put down a 20% deposit. The loan requires end-of-month repayments of $2,000 where the first payment was due a month after the loan was taken. He had enough savings for the down payment and he has never skipped any payment so far. a) What is the original loan amount? [2 marks] b) What is the cost of the house that he purchased? [2 marks] S c) How much does he owe the bank now, assuming that the 60th payment has been made? [3 marks] $ d) After the 60th payment, Phuc asked the bank to freeze the repayments while he was looking for another job due to COVID. The bank agreed to give Phuc a 6-month freeze on repayments; however, interest still accrues during the repayment freeze period. Phuc is confident that he will be able to find a job very soon and he still wants to fully repay the loan at the original date. What will his new monthly repayment be when he recommences payments in 6 months' time? [3 marks] Note: the following parts are independent of part d) e) Suppose that after the 60th payment, the bank reduced the interest rate to 2.5% (per annum, compounded monthly). Calculate the new monthly repayment assuming the loan must be paid off on the original agreed on date. [2 marks] $ f) Assume that after the 60th payment, Phuc found a new job and he is able to make repayments of $3,000 per month. The bank allows Phuc to pay off the loan early without any penalty. The interest rate is still 3.6% per annum, compounded monthly. In how many years after the 60th payment can Phuc fully pay off the loan in this case? [3 marks] years