Suppose that the banking system has excess reserves of $10
million, the desired reserve ratio is 10 percent and the
currency drain ratio is 40 percent. By how much will the quantity
of money increase?
A) $28 million.
B) $50 million.
C) $22 million.
D) $40 million.
E) $12.5 million.
Answer : The answer is option A.
Given,
Reserve = $10 million.
Desired reserve ratio = 10% = 0.1
Currency drain ratio = 40% = 0.4
Money multiplier = (1 + Currency drain ratio) / (Currency drain ratio + Desired reserve ratio)
=> Money multiplier = (1 + 0.4) / (0.4 + 0.1)
=> Money multiplier = 1.4 / 0.5
=> Money multiplier = 2.8
Money supply = Reserve * Money multiplier
=> Money supply = 10 * 2.8
=> Money supply = $28 million.
Therefore, here money supply increases by $28 million.
So, option A is correct.
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