Assume that the banking system is loaned up and that any open-market purchase by the Fed directly increases reserves in the banks. If the required reserve ratio is 0, by how much could the money supply expand if the Fed purchased $2 billion worth of bonds?
Solution:
First, derive the money multiplier:
Money multiplier = "\\frac{1}{r} = \\frac{1}{0} = 0"
Change in money supply = Change in money reserves "\\times" the multiplier
Change in money supply = 2 "\\times" 0 = 0
The money supply will not expand or change if the required reserve ratio is equal to zero.
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