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19 February, 22:36

A bank currently has $50 million in deposits, $6 million in cash in the vault, $4 million on deposit with Fed, and $5 million in government securities. The reserve ratio is 20 percent. A new deposit is made million. What is the maximum size loan the bank can make once the check clears?

a.$800,000

b.$5.8 million

c. 0

d.$1 million

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  1. 19 February, 23:14
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    A) $800,000

    Explanation:

    Since the current reserve ratio is 20%, and the bank has no excess reserves, then the maximum it can lend if it receives $1 is $800,000.

    The bank has currently $50 million in deposits and $10 million in reserves ($6 million in cash and $4 million in the Fed), so its reserves are exactly 20% of its total deposits. So if any new deposits are received, the bank will have to keep as reserves 20% of it ( = $1,000,000 x 20% = $200,000).

    This type of banking system is called the fractional banking system because banks are only required to keep a fraction of the money they receive as deposits and they can lend the rest to other clients.
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