Increase in expected inflation shifts:
Buy $50 m bonds.
To increase the money supply by $5 billion with a required reserve ratio (RR) of 10%, the Federal Reserve should purchase $50 million in bonds, because this amount will effectively leverage the reserve requirement to achieve the desired increase in overall money supply.
When the Fed buys $50 million in bonds, it adds this amount directly to the banking reserves. With a 10% reserve requirement, banks can create up to $500 million in new money through the money multiplier effect (1/RR = 1/0.10 = 10). Thus, the initial purchase leads to a total potential increase in the money supply of $5 billion.
Selling $50 million in bonds would decrease the reserves of the banking system, thereby contracting the money supply rather than expanding it. This action would diminish the banks’ ability to lend, resulting in a decrease in the overall money supply, which contradicts the goal of increasing it by $5 billion.
While buying $500 million in bonds would indeed lead to a substantial increase in reserves, it would exceed the target increase of $5 billion in the money supply. The required reserve ratio indicates that this purchase would lead to a money supply increase of $5 trillion, which is far beyond the intended goal.
Purchasing $5 billion in bonds would also greatly exceed the goal of increasing the money supply by $5 billion. This action would drastically inflate the reserves and lead to an excessive increase in the money supply, creating potential inflationary pressures and destabilizing the economy.
To meet the target of increasing the money supply by $5 billion with a 10% reserve requirement, the most effective action is to buy $50 million in bonds. This amount utilizes the reserve requirement in such a way that the resulting money multiplier effect will yield the desired increase without overshooting the target. Other options either contract the money supply or result in excessive monetary expansion.
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