Topic 2: Money Creation: The Basics


Before analyzing the process of money creation, we must first review the nature of money and the reason why it exists. Money exists in order to facilitate the making of transactions---it saves the labour and capital resources that would have to be used if barter were the only method of exchange. Money consists of cash-in-pocket, bank deposits that can be transferred by cheque and, depending on how broadly we define it, other bank deposits and highly "liquid" assets that can be quickly converted into cash at prices known in advance. In the discussion that follows, money will be defined simply as cash-in-hand plus bank deposits.

In modern economies the money supply is determined by the government. The government puts money in circulation every time it buys goods or assets from the private sector and takes it out of circulation by levying taxes on the private sector and selling assets to private institutions and individuals. When the government exchanges money for goods or securities the stock of money in private hands necessarily goes up. And when it sells assets to the private sector or levies taxes, the money it receives goes out of circulation.

We must distinguish here between two branches of government---the treasury and the central bank. The job of the treasury is to budget the government's expenditures and finance them either by levying taxes or borrowing. Since every dollar it spends must be raised through taxes or borrowing, the treasury's actions do not change the money supply.

It is the central bank's job to manage the money supply. It puts money in circulation by purchasing bonds from the private sector and takes it out of circulation by selling bonds to the private sector. These actions are called open market operations. The central bank also manages the government's deposit accounts on which cheques are written to pay the government's expenditures---these deposits typically are in part with the commercial banks and in part with the central bank itself.

The treasury normally issues bonds to finance some portion of the government's expenditures. The central bank then buys in the open market an amount of these sufficient to put in circulation the appropriate quantity of money. In some cases the central bank may buy bonds directly from the Treasury, who puts the funds in circulation when it makes government expenditures with them.

Things are more complicated than this, however, because part of the money supply consists of deposits in the commercial banks---quite apart from the amount of cash in circulation, any change in the amount of these deposits will also change the money supply. We must therefore investigate the forces causing bank deposits to change. Commercial banks are profit-making firms who borrow funds from depositors and lend them out to households and businesses at rates of interest that are above the interest rates paid on the deposits. The excess of interest received over interest paid minus the costs of managing their loans and deposits represents the banks' profits.

The balance sheet of a typical bank is given in Table 1. From the principles of double-entry bookkeeping, total assets shown on the left must exactly equal total liabilities and net worth shown on the right.

Table 1.    First City Bank

Assets

    (thousands of $)    

Liabilities

Cash Reserves     3,000 30,000    Deposits
Government Bonds 10,000
Loans                  22,000

              Net Worth

5,000 Equity
Total35,000                   35,000Total

Not all the funds the banks obtain from deposits can be loaned out. Some portion must be kept as cash reserves to meet any demands of depositors to withdraw cash. Although it is not shown in the figure, these reserves consist of cash-on-hand plus deposits with the central bank that can be immediately converted into cash. Banks will also normally hold some government bonds and other interest earning assets in addition to their commercial loans.

Table 2.    First City Bank

Assets

    (thousands of $)    

Liabilities

Cash Reserves     3,100 30,100    Deposits
Government Bonds 10,000
Loans                  22,000

              Net Worth

5,000 Equity
Total35,100                   35,100Total

Suppose that the central bank buys $100 of bonds from someone in the private sector who deposits the funds in the commercial bank depicted in Table 1. This will increase the bank's deposits and its reserves by $100, as shown above in Table 2. Since the bank only needs, say, $10 of reserves to back the additional $100 of deposits, it loans out $90. The bank's balance sheet is then shown in Table 3.

Table 3.    First City Bank

Assets

    (thousands of $)    

Liabilities

Cash Reserves     3,010 30,100    Deposits
Government Bonds 10,000
Loans                  22,090

              Net Worth

5,000 Equity
Total35,100                   35,100Total

But there is more. The person who took out the loan spends the funds and the person receiving them deposits the money in her bank, shown in Table 4.

Table 4.    Second City Bank

Assets

    (thousands of $)    

Liabilities

Cash Reserves     2,000 20,000    Deposits
Government Bonds 5,000
Loans                  17,000

              Net Worth

4,000 Equity
Total24,000                   24,000Total

That bank's reserves and deposits will increase by $90, as shown in Table 5. The money supply has now increased by $190 as a result of the central bank's open market operation---deposits have increased by $100 in the first bank and by $90 in the second. Now the second bank only needs to hold, say, $9 in reserves to back the additional deposit of $90, so it will loan out $81, which will be deposited in a third bank. The money supply is then higher by $100 + $90 + $81 = $271. The third bank, in turn, will loan out a portion of these $81 and keep only a fraction as reserves. This loan will be deposited again, and so on.

Table 5.    Second City Bank

Assets

    (thousands of $)    

Liabilities

Cash Reserves     2,090 20,090         Deposits
Government Bonds 5,000
Loans                  17,000

              Net Worth

4,000 Equity
Total24,090                   24,090Total

So the ultimate effect of a $100 open market purchase of bonds by the central bank will be an expansion in the money supply of some multiple of that amount. A decision on the part of the public to hold $100 less cash and $100 more deposits will have exactly the same effect. Deposits and reserves will initially rise by $100 followed by a multiplier effect as the excess reserves are repeatedly loaned out and redeposited.

To understand the overall effects of monetary expansions of the sort outlined above we must distinguish between base Money or high-powered money and the money supply itself. High-powered or base money is the cash or reserve base upon which the banking system can create deposits. It equals the reserves of the banking system plus the public's cash holdings---the latter potentially can be deposited in banks and augment reserves. Thus

    1.    H  =  C  +  R 

where  H  is the stock of base or high-powered money,  C  is the stock of currency held by the public and  R  is the stock of bank reserves.

The money supply, denoted by  M , is defined for our purposes as cash held by the public plus deposits in banks, denoted by  D 

    2.    M  =  C  +  D 

The ratio of the money supply to base or high powered money, denoted by  mm  is then equal to

    3.    mm  =  M/H  =  (C  +  D) / (C  +  R)

Dividing both the numerator and denominator of the right-hand side of Equation 3 by  D,  we get

    4.    mm  =  (C/D  +  1) / (C/D  +  R/D)  =   (c + 1) / (c + f)

where  c  =  C/D  is the public's desired ratio of cash to deposit holdings and  f  =  R/D  is the commercial banking system's desired ratio of reserves to deposits. If the banking system's desired reserve ratio or the public's desired cash to deposit ratio falls the money multiplier will increase, as will the money supply associated with any given stock of base money.

The effects of changes in  c  and  f  on  mm  can be best seen by plugging some numbers into Equation 4. Suppose that the private sector's desired currency/deposit ratio is 0.2 and the banking system's desired reserve/deposit ratio is 0.1. Then

        mm  =  (c + 1) / (c + f)  = 1.2 / 0.3 = 4

resulting in a money supply equal to four times the stock of high-powered money. Now let the reserve/deposit ratio  f  rise to 0.2. The money multiplier falls to

        mm  =  (c + 1) / (c + f)  = 1.2 / 0.4 = 3

and the money supply becomes only three times the stock of base money. If  c  then rises to 0.3 the money multiplier becomes

        mm  =  (c + 1) / (c + f)  = 1.3 / 0.5 = 2.6

at which point the money supply will be only 2.6 times the stock of high-powered money.

The central bank can control the stock of base money by its open market operations but private sector decisions determine how big the stock of money associated with this stock of base money will be. Since

    5.    M  =  mm H  =  [(c + 1) / (c + f)] H

the central bank, to keep the money supply at a desired level, must continually adjust  H  to offset the effects of changes in  c  and  f  on  mm  and  M .

It is time for another test. Be sure to think up your own answers before accessing the ones provided.

Question 1
Question 2

Choose Another Topic in the Lesson