You have a credit card debt which is attracting interest at 18:5% per annum

(APR) with monthly compounding. The bank has told you that if you pay $328:37 per month it will take you exactly 107 months to pay o. the debt. Instead, you want to pay it o. faster by paying a larger amount each month. You believe that you can a.ord to pay $360 per month, and you will not use the credit card to make any more purchases.

(a) Find the e.ective monthly interest rate. Find the PV of the debt.

(b) How long will it take you to clear the debt if you raise your monthly payment to $360? Answer

in months with at least two decimal places. Assume that all payments are made at the end of each

month