When the money supply grows, the inflation rate increases.This can be explained with the help of quantity theory of money which says that MV=PY where M= money supply , V= velocity of money ,P= price level,Y=output. Assuming Y and V to be constant ,there is a one to one relationship between money supply and price level.So, if money supply grows,price will increase and therefore inflation rate increases.
When the money supply decreases ,inflation rate also decreases. We know MV=PY where M= money supply , V= velocity of money ,P= price level,Y=output. Assuming Y and V to be constant ,there is a one to one relationship between money supply and price level.So, if money supply decreases,inflation rate also decreases.
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