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Question d + question e + question f please Note: Round your answers to 2 decimal places, unless stated otherwise. Ignore $ sign and commas

Question d + question e + question f please image text in transcribed
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 6.0% (per annum, compounded semi-annually amortised loan but he had to put down a 10% deposit . The loan requires half-yearly repayments of $15,000 where the first payment was due 6 months after the loan was taken. He had enough savings for the down payment and he has never skipped any payment so far. What is the original loan amount? [2 marks] b) What is the cost of the house that he purchased? [2 marks] c) How much does he owe the bank now, assuming that the 10th payment has been made? [3 marks] . d) After the 10th 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 half-yearly 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 10th payment, the bank reduced the interest rate to 50% (per annum, compounded semi-annually Calculate the new half- yearly repayment assuming the loan must be paid off on the original agreed on date 12 marks) $ Assume that after the 10th payment, Phuc found a new job and he is able to make repayments of $25,000 per half-year. The bank allows Phuc to pay off the loan early without any penalty. The interest rate is still 6.0% per annum, compounded semi-annually. In how many years after the 10 payment can Phuc fully pay off the loan in this case? [3 marks] years

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