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Problem 4 (13 marks) A person borrows an amount of $120000. He agrees to repay the loan by m level quarterly regular payment with amount

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Problem 4 (13 marks) A person borrows an amount of $120000. He agrees to repay the loan by m level quarterly regular payment with amount $X each plus 1 balloon payment to be paid 3 months after the mth repayment. It is also given that the loan charges compound interest at a quarterly effective interest rate i > 0. You are given that The outstanding balance at kth repayment date is OLBK = 59471.358. The outstanding balance at (k + 4)th repayment date is OLBk+4 49865.692. The outstanding balance at (k + 12)th repayment date is OLBk+12 = 27559.263. (* Here, k + 12 = m) Question Find the total amount of interest paid by the borrower over the entire loan. . . = Problem 4 (13 marks) A person borrows an amount of $120000. He agrees to repay the loan by m level quarterly regular payment with amount $X each plus 1 balloon payment to be paid 3 months after the mth repayment. It is also given that the loan charges compound interest at a quarterly effective interest rate i > 0. You are given that The outstanding balance at kth repayment date is OLBK = 59471.358. The outstanding balance at (k + 4)th repayment date is OLBk+4 49865.692. The outstanding balance at (k + 12)th repayment date is OLBk+12 = 27559.263. (* Here, k + 12 = m) Question Find the total amount of interest paid by the borrower over the entire loan. . . =

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