Final answer:
To calculate the initial balance sheet of Bank Three under the current reserve requirement of 8%, we need to determine the required reserves. After the Federal Reserve decreases the reserve requirement to 5%, the new balance sheet of Bank Three would have the updated required reserves.
Step-by-step explanation:
To calculate the initial balance sheet of Bank Three under the current reserve requirement of 8%, we need to determine the required reserves. The required reserves can be calculated by multiplying the transaction deposits by the reserve requirement percentage:
Required Reserves = Transaction Deposits * Reserve Requirement
In this case, the required reserves would be:
Required Reserves = $500 million * 8% = $40 million
The initial balance sheet of Bank Three would be:
- Assets: Transaction Deposits - $500 million, Reserves - $40 million
- Liabilities: None
After the Federal Reserve decreases the reserve requirement to 5%, the new required reserves would be:
New Required Reserves = $500 million * 5% = $25 million
The new balance sheet of Bank Three after the reserve requirement change would be:
- Assets: Transaction Deposits - $500 million, Reserves - $25 million
- Liabilities: None