Bonus Problem 3 (25 marks) A borrower has borrows an amount L from the bank today and agrees to repay the loan by 5n monthly repayment made at the end of every month. You are given that The first repayment will be made 1 month after today. The repayment amount of each of first 2n repayments is $X and the repayment amount of each of remaining 3n repayments is $Y. The loan charges compounded interest at a monthly effective interest rate i. Suppose that the outstanding balance at (2n)th repayment date equal to 60% of the loan principal (i.e. OLB2n = 0.6), which of the following statement must be true? Choose the best answer and provide mathematical justification to your answer. (A) X >Y (B) X = Y (C) XY (B) X = Y (C) X