ECO - 252 Macroeconomics
2. Assume people hold no currency and no travelers' checks, banks loan out all excess reserves, the required reserve ratio is 8%, and the current money supply is $200 billion.
a. What would be the new money supply if the Fed conducts an open market sale of existing bonds worth $2 billion?
b. What would be the new money supply if the Fed conducts an open market purchase of existing bonds worth $2 billion? Start with the current money supply of $200 billion.
Since banks hold no excess reserves, reserve kept by banks=8%=0.08
Money multiplier=1/r=1/0.08=12.5
Money multiplier is the change in money supply due to additional unit of high powered money.
A) when fed conducts an open marlet sale of $2billion, which leads to decrease the high powered money by $2 billiion which will lead to change/decrease in money supply by 12.5*2=25 billion.
Thus new money supply=200-25=175billion
B) open market purchase of $2billion,will increase high powered by 2billion which will increase the money supply by 25billion. Thus new money supply=200+25=$225billion
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