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Mishkin Eakins - Financial Markets and Institutions, 7e (2012)

Banking System

Federal Reserve System

Assets

Liabilities

Assets

Liabilities

Reserves


+$100

Discount


loans 

+$100


Discount

loans 


+$100

Reserves


+$100

We thus see that a discount loan leads to an expansion of reserves, which



can be lent out as deposits, thereby leading to an expansion of the 

monetary base and the money supply.

Similar reasoning indicates that when



a bank repays its discount loan and so reduces the total amount of discount

lending, the amount of reserves decreases along with the monetary base

and the money supply.

The Market for Reserves and the Federal Funds Rate

We have just seen how open market operations and discount lending affect the balance

sheet of the Fed and the amount of reserves. Now we will analyze the market for

reserves to see how the resulting changes in reserves affect the federal funds rate,



the interest rate on overnight loans of reserves from one bank to another. The fed-

eral funds rate is particularly important in the conduct of monetary policy because it

is the interest rate that the Fed tries to influence directly. Thus, it is indicative of the

Fed’s stance on monetary policy.

Open market operations and discount policy are the principal tools that the Fed

uses to influence the federal funds rate. In addition, there is a third toolreserve



requirements, the regulations making it obligatory for depository institutions to

keep a certain fraction of their deposits as reserves with the Fed. We will also ana-

lyze how reserve requirements affect the market for reserves and thereby affect

the federal funds rate.

Demand and Supply in the Market 

for Reserves

The analysis of the market for reserves proceeds in a similar fashion to the analysis

of the bond market we conducted in Chapter 4. We derive a demand and supply curve

for reserves. Then the market equilibrium in which the quantity of reserves

demanded equals the quantity of reserves supplied determines the federal funds rate,

the interest rate charged on the loans of these reserves.

Demand Curve

To derive the demand curve for reserves, we need to ask what happens

to the quantity of reserves demanded, holding everything else constant, as the federal funds

rate changes. Recall from the previous section that the amount of reserves can be split

up into two components: (1) required reserves, which equal the required reserve ratio times

the amount of deposits on which reserves are required, and (2) excess reserves, the addi-

tional reserves banks choose to hold. Therefore, the quantity of reserves demanded equals

required reserves plus the quantity of excess reserves demanded. Excess reserves are insur-

ance against deposit outflows, and the cost of holding these excess reserves is their oppor-

tunity cost, the interest rate that could have been earned on lending these reserves out,

minus the interest rate that is earned on these reservesi



er

.

Before 2008, the Federal Reserve did not pay interest on reserves, but since the



autumn of 2008, the Fed has paid interest on reserves at a level that is set at a fixed

amount below the federal funds rate target and therefore changes when the target

changes (see the Inside the Fed box, “Why Does the Fed Need to Pay Interest on

Reserves?”). When the federal funds rate is above the rate paid on excess reserves, i



er

,

as the federal funds rate decreases, the opportunity cost of holding excess reserves



falls. Holding everything else constant, including the quantity of required reserves, the

quantity of reserves demanded rises. Consequently, the demand curve for reserves, R



d

,

slopes downward in Figure 10.1 when the federal funds rate is above i



er

. If however,

the federal funds rate begins to fall below the interest rate paid on excess reserves i

er

,

banks would not lend in the overnight market at a lower interest rate. Instead, they would



just keep on adding to their holdings of excess reserves indefinitely. The result is that the

demand curve for reserves, R



d

, becomes flat (infinitely elastic) at i



er

in Figure 10.1.

Supply Curve

The supply of reserves, R



s

, can be broken up into two components:

the amount of reserves that are supplied by the Fed’s open market operations, called

nonborrowed reserves (NBR), and the amount of reserves borrowed from the Fed,

called borrowed reserves (BR). The primary cost of borrowing from the Fed is

the interest rate the Fed charges on these loans, the discount rate (i

d

). Because bor-

rowing federal funds from other banks is a substitute for borrowing (taking out

discount loans) from the Fed, if the federal funds rate i



ff

is below the discount rate



i

d

, then banks will not borrow from the Fed and borrowed reserves will be zero



218

Part 4 Central Banking and the Conduct of Monetary Policy




Chapter 10 Conduct of Monetary Policy: Tools, Goals, Strategy, and Tactics


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