Suppose that each 0.1-percentage-point increase in the equilibrium interest rate induces a $5 billion decrease in real planned investment spending by businesses. In addition, the investment multiplier is equal to 4, and the money multiplier is equal to 3. Furthermore, every $9 billion decrease in the money supply brings about a 0.1-percentage-point increase in the equilibrium interest rate. Use this information to answer the following questions under the assumption that all other things are equal.
a. How much must real planned investment decrease if the Federal Reserve desires to bring about an $80 billion decrease in equilibrium real GDP?
b. How much must the money supply change for the Fed to induce the change in real planned investment calculated in part (a)?
c. What dollar amount of open market operations must the Fed undertake to bring about the money supply change calculated in part (b)?