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.

What will be an ideal response?


The initial level of the money supply must be such that the quantity of money supplied equals the quantity of money demanded, so?

 S = 2 × [(0.25 × 500) ? (15 × 3)] = 160.
?With Y rising to 600 and the nominal interest rate remaining at 3, then the money supply must increase so that the quantity of money supplied equals the quantity of money demanded, so?
 S = 2 × [(0.25 × 600) ? (15 × 3)] = 210.
?The Fed must increase the money supply by 50.?To illustrate this, use the standard liquidity-preference framework, in which the money-demand curve shifts to the right. Then the money supply curve must shift to the right as well, such that the new supply and demand curves intersect at the initial interest rate.

Business

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