Problem 3: Bank Balances and Deposits [7 Points] Suppose that we exist in a banking system with a mandated reserve ratio of 12%. Suppose that the banks in this system have no capital themselves ($01 but do still have deposits. Suppose to begin that there is no cash drain {0%} to begin with. 11. Suppose that there is a new deposit into a bank of 100 dollars. How much will this deposit change the total quantity of deposits in this banking system? [1 point] 12. If the total banking system has $8,000 in deposits across the whole system, then what must have been the initial deposit into this banking system to generate these $8,000 in total deposits? [2 points] Using the initial quantity of deposits that you calculated in the previous question [012}, answer the following final two questions: 13. If the Central Bank lowers the reserve ratio from 12% to 10%, how much would this change the quantity of deposits across the total banking system? [2 points] 14. Suppose that the reserve ratio remains at 10%. Ifthere was also a cash drain of 10%, what would be the quantity of deposits across the total banking system? [2 points]