Questions: Suppose the reserve requirement is set at 14 percent and excess reserves are 36 million. What is the money multiplier?

Suppose the reserve requirement is set at 14 percent and excess reserves are 36 million. What is the money multiplier?
Transcript text: Suppose the reserve requirement is set at 14 percent and excess reserves are $\$ 36$ million. What is the money multiplier?
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Solution

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To determine the money multiplier, we use the formula:

\[ \text{Money Multiplier} = \frac{1}{\text{Reserve Requirement Ratio}} \]

Given that the reserve requirement is 14 percent, we convert this percentage into a decimal for the calculation:

\[ \text{Reserve Requirement Ratio} = 0.14 \]

Now, we calculate the money multiplier:

\[ \text{Money Multiplier} = \frac{1}{0.14} \approx 7.14 \]

Therefore, the answer is the first one: 7.14.

Explanation for each option:

  • 7.14: This is the correct answer, as calculated using the formula for the money multiplier with a reserve requirement of 14 percent.
  • 0.07: This is incorrect. It seems to be a misinterpretation of the reserve requirement ratio itself, not the money multiplier.
  • 257.14: This is incorrect. It is an unrealistic value for a money multiplier given a reserve requirement of 14 percent.
  • 5.04: This is incorrect. It does not match the calculated value for the money multiplier with the given reserve requirement.

In summary, the correct money multiplier given a reserve requirement of 14 percent is 7.14.

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