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.