A bank grants a loan with the following characteristics: Duration: 5 years Nominal: 100 000 Coupon: 12% base 30/360 Constant monthly reimbursements m Question 1: can you give us the value of m and for each months the amount of principal and interests paid, the amount of remaining principal? What is the initial duration and modified duration? Question 2: each month 6% of the remaining principal (after standard reimbursement) is reimbursed by anticipation. Can you recalculate the elements of question 1? Question 3: Actually, the yield curve is flat at 5%, can you calculate the initial value of the loan under assumptions of question 1 and 2? Can you explain the difference of price if any?