The Federal Reserve sells $5 million of bonds to a bank, and the bank pays for the bonds by decreasing its reserves. If the reserve requirement is 5%, by how much will the bank's deposits change? Assume the bank has no excess reserves at the Fed.(Include the appropriate sign in your answer if needed.)$100 million
Question
The Federal Reserve sells 100 million
Solution
The Federal Reserve selling 5 million. The reserve requirement is the percentage of deposits that a bank must hold as reserves. In this case, the reserve requirement is 5%.
To find out how much the bank's deposits will change, we need to calculate the amount of deposits that $5 million in reserves can support. We can do this using the formula:
Change in deposits = Change in reserves / Reserve requirement
Substituting the given values into the formula:
Change in deposits = -$5 million / 0.05
Change in deposits = -$100 million
So, the bank's deposits will decrease by $100 million.
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