70. Suppose the money demand function is
MD = P × [(0.25 × Y) − (100 × i)],
where Y is expressed in billions of dollars and i is expressed in percentage points.
a. Suppose that initially P = 2, Y = 5,000, and i = 5. If income rises to 6,000, what is the new
equilibrium nominal interest rate?
b. Suppose that initially P = 3, Y = 4,000, and i = 7. If the price level falls to 2, what is the new
equilibrium nominal interest rate?
71. Suppose, the money-demand equation is given by
MD = P × [(0.25 × Y) − (15 × i)],
where P is the price level, Y is the level of output in billions, and i is the interest rate in percentage points. Initially, P
= 2, Y = $500, and i = 3. If Y rises to $600 and the price level does not change, by how much should the Fed change
the money supply if it wants to keep the nominal interest rate unchanged? Should the money supply rise or fall, and
by how much? Use the liquidity-preference framework and show a diagram of this situation.