Question

8. The reserve requirement, open market operations, and the money supply Assume that banks do not hold excess reserves and that households do not hold currency, so the only form of money is demand deposits. To simplify the analysis, suppose the banking system has total reserves of $500. Determine the money multiplier and the money supply for each reserve requirement listed in the following table. Reserve Requirement (Percent) Money Supply (Dollars) Simple Money Multiplier A lower reserve requirement is associated with a_ money supply. Suppose the Federal Reserve wants to increase the money supply by $200. Again, you can assume that banks do not hold excess reserves and that households do not hold currency. If the reserve requirement is 10%, the Fed will use open-market operations to S w orth of U.S. government bonds. Now, suppose that, rather than immediately lending out all excess reserves, banks begin holding some excess reserves due to uncertain economic conditions. Specifically, banks increase the percentage of deposits held as reserves from 10% to 25%. This increase in the reserve ratio causes the money multiplier to t o Under these conditions, the Fed would need to worth of U.S. government bonds in order to increase the money supply by $200. Which of the following statements help to explain why, in the real world, the Fed cannot precisely control the money supply? Check all that apply. The Fed cannot control whether and to what extent banks hold excess reserves. The Fed cannot prevent banks from lending out required reserves. The Fed cannot control the amount of money that households choose to hold as currency.

Answer 1

When r = 5% , money multiplier is 1 / 0.05 = 20, and money supply is 500 * 20 = $10, 000

When r = 10%, money multiplier is 1/ 0.1 = 10, and money supply is 500* 10 = $5000

In order to increase money supply by $200 at 10% reserve ratio, government must create open market operations to $200 * 0.1 = $20 worth of US government bonds.

The increase in r from 10% to 25% decreases the multiplier from 10 to 4. In such conditions the Fed needs to create $ 200 * 0.25 = $50 worth of government bonds.

The fed cannot control money supply because :

The Fed cannot control whether and to what extent banks hold excess reserves.

The Fed cannot control the amount of money that households choose to hold as currency.