The rate of change of the price level as a result of the increase in the money supply caused by the Fed's purchase of bonds will be 5%
How to explain
The Federal Reserve buying bonds increases the money supply, boosting overall demand. This rise in demand influences prices, with the speed of price changes linked to money supply growth and money circulation speed.
Let's assume that the Fed purchases $100 billion worth of bonds. This will increase the money supply by $100 billion.
Let's also assume that the velocity of money is 5. This means that each dollar in the money supply is used to purchase $5 worth of goods and services.
As a result of the increase in the money supply, the aggregate demand will increase by $500 billion ($100 billion * 5).
This increase in aggregate demand will lead to an increase in the price level of 5%.
Therefore, the rate of change of the price level as a result of the increase in the money supply caused by the Fed's purchase of bonds will be 5%.
The Complete Question
Following a price level decrease, the quantity of money demanded at the initial interest rate of 6% will be less than the quantity of money supplied by the Fed at this interest rate. As a result, individuals will attempt to reduce their money holdings. In order to do so, they will sell bonds and other interest-bearing assets. As a result, bond issuers will realize that they can lower interest rates until equilibrium is restored in the money market at an interest rate of 4%.
At what rate will the price level change as a result of the increase in the money supply caused by the Fed's purchase of bonds?