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 25-year 4.5% (per annum, compounded quarterly) amortised loan but he had to put down a 20% deposit. The loan requires end-of-quarter repayments of $2,500 where the first payment was due 3 months 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] $ 149622.66 b) What is the cost of the house that he purchased? [2 marks] $ 187028.33 C) How much does he owe the bank now, assuming that the 20th payment has been made? [3 marks] $ 131418.28 d) After the 20th 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 quarterly repayment be when he recommences payments in 6 months' time? [3 marks] $ 2596.94 Note: the following parts are independent of part d) e) Suppose that after the 20th payment, the bank reduced the interest rate to 3.0% (per annum, compounded quarterly). Calculate the new quarterly repayment assuming the loan must be paid off on the original agreed on date. [2 marks] $ 2190.3