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A customer initially deposits $25,000

into a bank that is subject to a 10% reserve requirement, and the
bank then lends its excess reserves. Explain how, after the loan,
the money supply has increased to $47,500. How much does the
bank have in reserves?

1 Answer

6 votes

Step-by-step explanation:

When the customer deposits $25,000 into the bank, the bank is required to keep 10% of that amount in reserve, which is $2,500. This leaves the bank with $22,500 in excess reserves that it can lend out to borrowers.

Assuming the bank lends out all of its excess reserves, the borrower will receive the $22,500 loan, which will then be deposited into another bank account. Let's assume that the recipient of the loan deposits the entire $22,500 back into the same bank that made the loan.

At this point, the bank has $47,500 in total deposits ($25,000 initial deposit + $22,500 loan deposit). However, the bank is still required to keep 10% of these deposits in reserve, which is $4,750. This means the bank has $42,750 in excess reserves that it can lend out again.

Therefore, the initial deposit of $25,000 has resulted in a total increase in the money supply of $47,500 ($25,000 initial deposit + $22,500 loan deposit). The bank's reserves are $4,750 ($2,500 initial reserve + $2,250 from the loan deposit).

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