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The bank you own has the following balance sheet:Assets LiabilitiesReserves $75 million Deposits $500 millionLoans $525 million Bank capital $100 millionIf the bank suffers a deposit outflow of $50 million with a required reserve ratio ondeposits of 10%, what actions should you take?

Question

The bank you own has the following balance sheet:Assets LiabilitiesReserves 75millionDeposits75 million Deposits 500 millionLoans 525millionBankcapital525 million Bank capital 100 millionIf the bank suffers a deposit outflow of $50 million with a required reserve ratio ondeposits of 10%, what actions should you take?

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Solution

First, let's understand the current situation. The bank has 75millioninreserves,75 million in reserves, 525 million in loans, 500millionindeposits,and500 million in deposits, and 100 million in bank capital. The total assets (75million+75 million + 525 million) equal the total liabilities (500million+500 million + 100 million), which means the bank is currently balanced.

Now, let's consider the deposit outflow of 50million.Thismeansthatthetotaldepositswilldecreaseto50 million. This means that the total deposits will decrease to 450 million (500million500 million - 50 million).

The required reserve ratio is 10%, which means that the bank needs to keep 10% of its total deposits as reserves. So, after the deposit outflow, the required reserves will be 45million(45 million (450 million * 10%).

Currently, the bank has 75millioninreserves.Afterthedepositoutflow,thebankwillstillhave75 million in reserves. After the deposit outflow, the bank will still have 30 million in reserves (75million75 million - 45 million), which is more than the required amount.

However, the bank's total liabilities will decrease because of the deposit outflow. The new total liabilities will be 550million(550 million (450 million in deposits + $100 million in bank capital).

To balance the bank's books, the total assets also need to decrease to 550million.Thismeansthatthebankneedstoreduceitsloansby550 million. This means that the bank needs to reduce its loans by 50 million (625million625 million - 550 million).

In conclusion, to handle the deposit outflow of 50millionwitharequiredreserveratioof1050 million with a required reserve ratio of 10%, the bank should reduce its loans by 50 million. This will keep the bank's balance sheet balanced while still meeting the required reserve ratio.

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