Assuming initially that the required reserve ratio = 10%, the currency-deposit ratio = 75%,and the excess reserve ratio = 156%, an increase in the currency-deposit ratio to 150% causesthe M1 money multiplier to ________, everything else held constant.A) increase from 0.73 to 0.78B) decrease from 0.73 to 0.61C) increase from 1.54 to 1.67D) decrease from 1.67 to 1.54
Question
Assuming initially that the required reserve ratio = 10%, the currency-deposit ratio = 75%,and the excess reserve ratio = 156%, an increase in the currency-deposit ratio to 150% causesthe M1 money multiplier to ________, everything else held constant.A) increase from 0.73 to 0.78B) decrease from 0.73 to 0.61C) increase from 1.54 to 1.67D) decrease from 1.67 to 1.54
Solution
The M1 money multiplier is calculated using the formula:
1 / (Required Reserve Ratio + Currency-Deposit Ratio - Excess Reserve Ratio)
Initially, the M1 money multiplier is:
1 / (10% + 75% - 156%) = 1 / (-71%) = -1.41
However, this is a negative number, which is not possible in this context. There may be a mistake in the initial conditions given.
If we assume that the excess reserve ratio is actually 56% (not 156%), the initial M1 money multiplier would be:
1 / (10% + 75% - 56%) = 1 / 29% = 3.45
If the currency-deposit ratio increases to 150%, the new M1 money multiplier would be:
1 / (10% + 150% - 56%) = 1 / 104% = 0.96
So, the M1 money multiplier would decrease, but not to any of the values given in the options. Please check the initial conditions and the options given.
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