Peter has a housing loan with UOB Bank before the COVID19 pandemic broke out. The details of the loan are as follows: Principal: $1,000,000 Interest rate: 4% per annum Tenure: 25 years Repayment: Amortization with monthly repayment. The lives of many were affected with jobs lost and businesses declining by the pandemic. Peter was adversely affected, too, and was unable to service his loan. Many banks, UOB included, showed compassion by allowing homeowners to defer full loan repayments by paying interest only for 18 months as a relief. When this was announced, Peter had just paid the 120th instalment of his housing loan. (a) Compute the monthly repayment before the pandemic broke out? (5 marks) (b) Compute how much Peter has to pay each month during the relief period? (5 marks) (c) Compute how much Peter is still owing the bank at the end of the relief period? (4 marks) (d) Compute the monthly repayment when the loan repayment resumes if he still plans to discharge the loan fully at the end of the 25th year? (5 marks) (e) Compute how many more months he needs to extend the loan from the original 25 years if the monthly repayment in part (a) above is maintained when the repayment resumes? Show your workings and also justify your answer intuitively. (6 marks) (f) Upon repayment resumption, what if Peter wishes to maintain the same repayment in part (a) and still discharging the loan at the end of 25th year, compute how much the final balloon payment should be at that time?