How to find the effect of reserve requirements on money supply - AP Macroeconomics

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Question

At a particular bank, the reserve ratio is 10% and excess reserves are $300. The maximum expansion of the money supply that can be generated by that bank is                 .

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Answer

The money multiplier is equal to 1/r, where r is the reserve ratio. In this example, the money multiplier is 1/.1 = 10.

Since the bank has $300 in excess reserves, it can loan out the entire $300, which we then multiply by the money multipler to find the total expansion of the money supply:

The maximum expansion of the money supply generated by that bank is therefore $3000.

If you selected $300, you may have forgotten to multiply by the money multipler.

If you selected $30, you may have multiplied by r rather than 1/r.

If you selected $30,000, you may have thought that the reserve ratio was 1 percent rather than 10 percent.

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