the Fed decides to stimulate the economy by increasing monetary
circulation. How much should the Fed change the reserve requirement
ratio (r) to increase the current multiplier coefficient from 7 to
15 in the next period? Find the difference between r1 and
r0.
Multiplier Coefficient is related to Reserve Requirement Ratio as:
Multiplier Coefficient= 1/(Reserve Requirement Ratio)
This means that If Reserve Requirement Ratio is 10%, Banks can lend 90% of its deposits and money supply should be 10 times the reserves.
Given current multiplier coefficient is 7. So, Reserve Requirement Ratio= 1/(Multiplier Coefficient)= 1/7= 14.29%
Multiplier Coefficient in next period is 15. So Reserve Requirement Ration next period is 1/15= 6.67%
Change is 14.29%-6.67%= 7.62%
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