Modern Money Mechanics
A Workbook on Bank Reserves and Deposit Expansion
Federal Reserve Bank of Chicago
Page 6
Bank deposits - How They Expand or Contract
Let us assume that expansion in the money stock is desired by the Federal Reserve to achieve its policy objectives. One way the central bank can initiate such an expansion is through purchases of securities in the open market. Payment for the securities adds to bank reserves. Such purchases (and sales) are called "open market operations."
How do open market purchases add to bank reserves and deposits?
Suppose the Federal Reserve System, through its trading desk at the Federal Reserve Bank of New York, buys $10,000 of Treasury bills from a dealer in U.S. government securities. In today's world of computerized financial transactions, the Federal Reserve Bank pays for the securities with an "electronic" check drawn on itself. Via its "Fedwire" transfer network, the Federal Reserve notifies the dealer's designated bank (Bank A) that payment for the securities should be credited to (deposited in) the dealer's account at Bank A. At the same time, Bank A's reserve account at the Federal Reserve is credited for the amount of the securities purchase. The Federal Reserve System has added $10,000 of securities to its assets, which it has paid for, in effect, by creating a liability on itself in the form of bank reserve balances. These reserves on Bank A's books are matched by $10,000 of the dealer's deposits that did not exist before. See illustration 1.
How the Multiple Expansion Process Works
If the process ended here, there would be no "multiple" expansion, i.e., deposits and bank reserves would have changed by the same amount. However, banks are required to maintain reserves equal to only a fraction of their deposits. Reserves in excess of this amount may be used to increase earning assets - loans and investments. Unused or excess reserves earn no interest. Under current regulations, the reserve requirement against most transaction accounts is 10 percent. Assuming, for simplicity, a uniform 10 percent reserve requirement against all transaction deposits, and further assuming that all banks attempt to remain fully invested, we can not trace the process of expansion in deposits which can take place on the basis of the additional reserves provided by the Federal Reserve System's purchase of U.S. government securities.
The expansion process may or may not begin with Bank A, depending on what the dealer does with the money received from the sale of securities. If the dealer immediately writes checks for $10,000 and all of them are deposited in other banks, Bank A loses both deposits and reserves and shows no net change as a result of the System's open market purchase. However, other banks have received them. Most likely, a part of the initial deposit will remain with Bank A, and a part will be shifted to other banks as the dealer's checks clear.
It does not really matter where this money is at any given time. The important fact is that these deposits do not disappear. They are in some deposit accounts at all times. All banks together have $10,000 of deposits and reserves that they did not have before. However, they are not required to keep $10,000 of reserves against the $10,000 of deposits. All they need to retain, under a 10 percent reserve requirement, is $1,000. The remaining $9,000 is "excess reserves." This amount can be loaned or invested. See illustration 2.
If business is active, the banks with excess reserves probably will have opportunities to loan the $9,000. Of course, they do not really pay out loans from the money they receive as deposits. If they do this, no additional money would be created. What they do when they make loans is to accept promissory notes in exchange for credits to the borrower's transaction accounts. Loans (assets) and deposits (liabilities) both rise by $9,000. Reserves are unchanged by the loan transactions. But the deposit credits constitute new additions to the total deposits of the banking system. See illustration 3.
Dollar amounts used in the various illustrations do not necessarily bear any resemblance to actual transactions. For example, open market operations typically are conducted with many dealers and in amounts totaling several billion dollars.
Indeed, many transactions today are accomplished through an electronic transfer of funds between accounts rather than through issuance of a paper check. Apart from the timing of posting, the accounting entries are the same whether a transfer is made with a paper check or electronically. The term "check" therefore, is used for both types of transfers.
For each bank, the reserve requirement is 3 percent on a specified base amount of transaction accounts and 10 percent on the amount above this "low reserve tranche" - at $25 million, and provided for it to change annually in line with the growth in transaction deposits nationally. The low reserve tranche was $41.1 million in 1991 and $42.2 million in 1992. The GarrSt. Germain Act of 1982 further modified these requirements by exempting the first $2 million of reservable liabilities from reserve requirements. Like the low reserve tranche, the exempt level is adjusted each year to reflect growth in reservable liabilities. The exempt level was $3.4 million in 1991 and $3.6 million in 1992.
Page 7
Deposit Expansion

1. When the Federal Reserve Bank purchases government securities, bank reserves increase. This happens because the seller of the securities receives payment through a credit to a designated deposit account at a bank (Bank A) which the Federal Reserve effects by crediting the reserve account of Bank A.
The customer deposit at Bank A likely will be transferred, in part, to other banks and quickly loses its identity amid the huge inter bank flow of deposits.
(return to article at reference to illustration 1)

2. As a result, all banks taken together now have "excess" reserves on which deposit expansion can take place.
(return to article at reference to illustration 2)
Expansion-Stage 1

3. Expansion takes place only if the banks that hold these excess reserves (Stage 1 banks) increase their loans or investments. Loans are made by crediting the borrower's deposit account, i.e., by creating additional deposit money.
(return to article at reference to illustration 3)
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