During the late 70s and early 80s, the U.S. economy faced an inflationary period. The chairman of the Fed at that time, Paul Vocker, pursued a monetary policy to reduce inflation in the long run. The principal method used by the Federal Reserve to change the money supply is through open market operations.
(a) In order to reduce inflation, the Fed will have to reduce the amount of money in the economy. This will happen if it sells the bonds as people purchase and pay for it which takes the money out of the banking system.
(b) Quantity theory of Money: MV = PY
Fisher equation: real interest rate = nominal interest rate - inflation
In the long run, an increase or decrease in the money supply does not lead to changes in any real variables and only inflation increases one for one.
Thus, as a result of monetary contraction, prices will fall and nominal output = pricest*output will also fall. Since the output remains the same, the Real GDP will not change. As the prices are falling inflation will also fall and the nominal interest rates will rise. The money demand is not affected by changes in the money supply. The real interest rates will also fall (from fisher equation).
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