Presentation on theme: "Chapter objectives Money supply Theories of money demand"— Presentation transcript:
0Money Supply and Money Demand CHAPTER EIGHTEENMoney Supply and Money Demand
1Chapter objectives Money supply Theories of money demand how the banking system “creates” moneythree ways the Fed can control the money supplywhy the Fed can’t control it preciselyTheories of money demanda portfolio theorya transactions theory: the Baumol-Tobin model
2Banks’ role in the money supply The money supply equals currency plus demand (checking account) deposits:M = C + DSince the money supply includes demand deposits, the banking system plays an important role.
3A few preliminaries assets include reserves and outstanding loans Reserves (R ): the portion of deposits that banks have not lent.To a bank, liabilities include deposits,assets include reserves and outstanding loans100-percent-reserve banking: a system in which banks hold all deposits as reserves.Fractional-reserve banking: a system in which banks hold a fraction of their deposits as reserves.You might explain why deposits are liabilities and why reserves and loans are assets.
4With no banks, D = 0 and M = C = $1000. SCENARIO 1: No BanksWith no banks, D = 0 and M = C = $1000.In this and the following examples, we assume there’s $1000 in currency circulating in the economy.We then compare the size of the money supply in different scenarios about the banking system: no banks, 100% reserve banking, and fractional reserve banking.
5SCENARIO 2: 100 Percent Reserve Banking Initially C = $1000, D = $0, M = $1000.Now suppose households deposit the $1000 at “Firstbank.”After the deposit, C = $0, D = $1000, M = $1000.100% Reserve Banking has no impact on size of money supply.FIRSTBANK’S balance sheetAssetsLiabilitiesreserves $1000deposits $1000
6SCENARIO 3: Fractional-Reserve Banking Suppose banks hold 20% of deposits in reserve, making loans with the rest.Firstbank will make $800 in loans.The money supply now equals $1800:The depositor still has $1000 in demand deposits,but now the borrower holds $800 in currency.FIRSTBANK’S balance sheetAssetsLiabilitiesreserves $1000deposits $1000reserves $200loans $800
7SCENARIO 3: Fractional-Reserve Banking Thus, in a fractional-reserve banking system, banks create money.The money supply now equals $1800:The depositor still has $1000 in demand deposits,but now the borrower holds $800 in currency.FIRSTBANK’S balance sheetAssetsLiabilitiesdeposits $1000reserves $200loans $800
8SCENARIO 3: Fractional-Reserve Banking Suppose the borrower deposits the $800 in Secondbank.Initially, Secondbank’s balance sheet is:But then Secondbank will loan 80% of this depositand its balance sheet will look like this:SECONDBANK’S balance sheetAssetsLiabilitiesdeposits $800reserves $160loans $640reserves $800loans $0Maybe the borrower deposits the $800 in the bank. Or maybe the borrower uses the money to buy something from someone else, who then deposits it in the bank. In either case, the $800 finds its way back into the banking system.
9SCENARIO 3: Fractional-Reserve Banking If this $640 is eventually deposited in Thirdbank,then Thirdbank will keep 20% of it in reserve, and loan the rest out:THIRDBANK’S balance sheetAssetsLiabilitiesdeposits $640reserves $640loans $0reserves $128loans $512Again, the person who borrowed the $640 will either deposit it in his own checking account, or will use it to buy something from somebody who, in turn, deposits it in her checking account. In either case, the $640 winds up in a bank somewhere, and that bank can then use it to make new loans.
10Finding the total amount of money: Original deposit = $1000+ Firstbank lending = $ 800+ Secondbank lending = $ 640+ Thirdbank lending = $ 512+ other lending…Total money supply = (1/rr ) $ where rr = ratio of reserves to depositsIn our example, rr = 0.2, so M = $5000
11Money creation in the banking system A fractional reserve banking system creates money,but it doesn’t create wealth:bank loans give borrowers some new moneyand an equal amount of new debt.
12A model of the money supply exogenous variablesthe monetary base, B = C + Rcontrolled by the central bankthe reserve-deposit ratio, rr = R/Ddepends on regulations & bank policiesthe currency-deposit ratio, cr = C/Ddepends on households’ preferences
13Solving for the money supply: whereThe point of all this algebra is to express the money supply in terms of the 3 exogenous variables described on the preceding slide.
14The money multiplier If rr < 1, then m > 1 If monetary base changes by B, then M = m Bm is called the money multiplier.
15Exercise where Determine impact on money supply. Suppose households decide to hold more of their money as currency and less in the form of demand deposits.Determine impact on money supply.Explain the intuition for your result.Solution:1. An increase in cr causes the money multiplier and therefore M itself to fall. An increase in cr raises both the numerator and denominator of the expression for m. But since rr < 1, the denominator is smaller than the numerator, so a given increase in cr willincrease the denominator proportionally more than the numerator, causing a decrease in m. If your students know calculus, they can use the quotient rule to find (dm/dcr) < 0.2. If households deposit less of their money, then banks can’t make as many loans, so the banking system won’t be able to “create” as much money.The following slide shows the solution.
16Solution to exerciseImpact of an increase in the currency-deposit ratio cr > 0.An increase in cr increases the denominator of m proportionally more than the numerator. So m falls, causing M to fall too.If households deposit less of their money, then banks can’t make as many loans, so the banking system won’t be able to “create” as much money.
17Three instruments of monetary policy Open market operationsReserve requirementsThe discount rate
18Open market operations definition: The purchase or sale of government bonds by the Federal Reserve.how it works: If Fed buys bonds from the public, it pays with new dollars, increasing B and therefore M.Why it’s called “open market operations”:The “operations” are the buying and selling. The market in which U.S. Treasury bonds are traded is “open” in the sense that anyone---you, me, the Fed---can buy or sell in this market.
19Reserve requirementsdefinition: Fed regulations that require banks to hold a minimum reserve-deposit ratio.how it works: Reserve requirements affect rr and m: If Fed reduces reserve requirements, then banks can make more loans and “create” more money from each deposit.
20The discount ratedefinition: The interest rate that the Fed charges on loans it makes to banks.how it works: When banks borrow from the Fed, their reserves increase, allowing them to make more loans and “create” more money.The Fed can increase B by lowering the discount rate to induce banks to borrow more reserves from the Fed.
21Which instrument is used most often? Open market operations: Most frequently used.Changes in reserve requirements: Least frequently used.Changes in the discount rate: Largely symbolic; the Fed is a “lender of last resort,” does not usually make loans to banks on demand.Why not reserve requirements? Making them too low creates a risk of bank runs. Making them too high makes banking unprofitable.In addition, banking would be difficult if the Fed changed reserve requirements frequently.
22Why the Fed can’t precisely control M whereHouseholds can change cr, causing m and M to change.Banks often hold excess reserves (reserves above the reserve requirement).If banks change their excess reserves, then rr, m and M change.
23CASE STUDY: Bank failures in the 1930s From 1929 to 1933,Over 9000 banks closed.Money supply fell 28%.This drop in the money supply may have caused the Great Depression.It certainly contributed to the Depression’s severity.
24Table 18-1: The Money Supply and its Determinants: 1929 and 1933 Source: Adapted from Milton Friedman and Anna Schwartz, A Monetary History of the United States, (Princeton, NJ: Princeton University Press, 1963), Appendix A.cr rose due to loss of confidence in banks
25Table 18-1: The Money Supply and its Determinants: 1929 and 1933 rr rose because banks became more cautious, increased excess reserves
26Table 18-1: The Money Supply and its Determinants: 1929 and 1933 The rise in cr and rr reduced the money multiplier.
27Could this happen again? Many policies have been implemented since the 1930s to prevent such widespread bank failures.Example: Federal Deposit Insurance, to prevent bank runs and large swings in the currency-deposit ratio.
28Money Demand Two types of theories: Portfolio theories emphasize “store of value” functionrelevant for M2, M3not relevant for M1. (As a store of value, M1 is dominated by other assets.)Transactions theoriesemphasize “medium of exchange” functionalso relevant for M1Why portfolio theories are not relevant for M1:As a store of value, M1 is dominated by other assets: other assets serve the store of value function as well as M1, but offer a better risk/return profile, so there is no reason why anybody would hold M1 for a store of value.
29A simple portfolio theory Intuition for the signs:Stocks and bonds are alternatives to money. An increase in their expected returns makes money less attractive, and thus reduces desired money holdings.The real return to holding money is -e. An increase in e is a decrease in the real return to holding money, which would cause a decrease in desired money balances.And finally, an increase in wealth causes an increase in the demand for all assets.
30The Baumol-Tobin Model A transactions theory of money demand.Notation:Y = total spending, done gradually over the yeari = interest rate on savings accountN = number of trips consumer makes to the bank to withdraw money from savings accountF = cost of a trip to the bank (e.g., if a trip takes 15 minutes and consumer’s wage = $12/hour, then F = $3)In the Baumol-Tobin model, we assume that the consumer’s wealth is divided between cash on hand and savings account deposits. The savings account pays interest rate i, while cash pays no nominal interest.Alternatively, we can think of “money” in the Baumol-Tobin model as representing all monetary assets, including some that pay interest. Then, i in the model would be the interest rate on non-monetary assets (e.g. stocks & bonds) minus the interest rate on monetary assets (interest-bearing checking & money market deposit accounts). F would be the cost of converting non-monetary assets into monetary ones, such as a brokerage fee. The decision about how often to pay the brokerage fee is analogous to the decision about how often to make a trip to the bank.
31Money holdings over the year Time1N = 1Average = Y/ 2Figure 18-1 on p.493.Our first step: compute average money holdings as a function of N. (Then, we will find the optimal value of N.)If N=1, then the consumer withdraws $Y from her savings account at the beginning of the year. As she spends it gradually throughout the year, her money holdings fall.
32Money holdings over the year Time11/2N = 2YY/ 2Average = Y/ 4Figure 18-1 on p.493.If N = 2, consumer makes one trip at the beginning of the year, withdraws half of the money she will spend throughout the year. She spends it gradually over the first half of the year until it runs out. Then she makes another trip, withdrawing enough money to last her the second half of the year, and spends it down gradually.
33Money holdings over the year 1/32/3Money holdingsTime1N = 3YAverage = Y/ 6Y/ 3Figure 18-1 on p.493.
34The cost of holding money In general, average money holdings = Y/2NForegone interest = i (Y/2N )Cost of N trips to bank = F NThus,Given Y, i, and F, consumer chooses N to minimize total cost
35Finding the cost-minimizing N Figure 18-2 on p.495.(For any value of N, the height of the red line equals the height of the blue line plus the height of the green line at that N.)This slide shows the graphical derivation of N*.The following slide uses basic calculus to derive an expression for N*. It is “hidden” and can be omitted without loss of continuity. If you display it, then before leaving this slide you might point out that the slope of the cost function equals zero at N*.
36Finding the cost-minimizing N Take the derivative of total cost with respect to N, then set it equal to zero:This slide uses calculus to derive N*.Solve for the cost-minimizing N*
37The money demand function The cost-minimizing value of N :To obtain the money demand function, plug N* into the expression for average money holdings:If you did not show your students the slide with the calculus derivation of the expression for N*, then you can just say “it turns out that N* is equal to this expression….”Money demand depends positively on Y and F, and negatively on i .
38The money demand function The Baumol-Tobin money demand function:How the B-T money demand func. differs from the money demand func. from previous chapters:B-T shows how F affects money demandB-T implies that the income elasticity of money demand = 0.5, interest rate elasticity of money demand = 0.5Page 495 of the text contains a very nice paragraph discussing things that alter F, and hence money demand:automatic teller machinesinternet bankingwages (higher wages increase the opportunity cost of time spent visiting the bank)bank or brokerage fees
39EXERCISE: The impact of ATMs on money demand During the 1980s, automatic teller machines became widely available.How do you think this affected N* and money demand? Explain.
40Financial Innovation, Near Money, and the Demise of the Monetary Aggregates Examples of financial innovation:many checking accounts now pay interestvery easy to buy and sell assetsmutual funds are baskets of stocks that are easy to redeem - just write a checkNon-monetary assets having some of the liquidity of money are called near money.Money & near money are close substitutes, and switching from one to the other is easy.
41Financial Innovation, Near Money, and the Demise of the Monetary Aggregates The rise of near money makes money demand less stable and complicates monetary policy.1993: the Fed switched from targeting monetary aggregates to targeting the Federal Funds rate.This change may help explain why the U.S. economy was so stable during the rest of the 1990s.
42Chapter summary1. Fractional reserve banking creates money because each dollar of reserves generates many dollars of demand deposits.2. The money supply depends on themonetary basecurrency-deposit ratioreserve ratio3. The Fed can control the money supply withopen market operationsthe reserve requirementthe discount rate
43Chapter summary 4. Portfolio theories of money demand stress the store of value functionposit that money demand depends on risk/return of money & alternative assets5. The Baumol-Tobin modelis an example of the transactions theories of money demand, stresses “medium of exchange” functionmoney demand depends positively on spending, negatively on the interest rate, and positively on the cost of converting non-monetary assets to money