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Working Paper Series

Interest Rates and the Conduct of
Monetary Policy

WP 90-06

This paper can be downloaded without charge from:
http://www.richmondfed.org/publications/

Marvin Goodfriend
University of Chicago
Federal Reserve Bank of Richmond

Working Paper 90-6

INTEREST RATES
AND THE
CONDUCT OF MONETARY POLICY

Marvin Goodfriend*

University of Chicago
and
Federal Reserve Bank of Richmond

August 1990

*The paper was written while the author was Visiting Associate Professor at the
Graduate School of Business, University of Chicago. It was written for the April
1990 Carnegie-Rochester Conference on Public Policy. The author would like to
thank Tim Cook, Mike Dotsey, Bob Hetzel, and Alan Stockman for helpful
discussions.
The views expressed here do not necessarily reflect those of the
Federal Reserve Bank of Richmond.

INTEREST RATES
AND THE
CONDUCT OF MONETARY POLICY

Abstract
The paper describes key aspects of actual Federal Reserve interest
rate targeting procedures and addresses a number of issues in light of these
stylized facts.
It reviews the connection between rate smoothing and price
It critiques interest rate targeting as inflation tax
level trend-stationarity.
smoothing.
It argues that stabilization policy implemented by interest rate
targeting may inadvertently induce martingale-like behavior in nominal rates and
inflation. The paper explains why central bankers prefer continuity of the short
Lastly, it surveys empirical evidence of the
rate and indirect rate targeting.
Fed's influence over short-term interest rates.
(JEL: 311)

INTRODUCTION
However disruptive the inflation instability of the 196Os, 70s and 80s may
have been, it afforded a chance to observe the extent to which nominal interest
rates moved with money growth, inflation, and expected inflation as Irving Fisher
Data through 1971

(1930) predicted.

provided evidence that short-term nominal

rates moved in large part with changes in expected inflation, e.g., Fama (1975)
While data from the period thereafter indicated

and Nelson and Schwert (1977).

a more important role for real rate variability, e.g., Hamilton (1985).
inflation

rate rose

October 1979

and became more volatile,

the Fed announced

As the

its famous

move toward reserve targeting.

The experience with reserve targeting from October 1979

1982 renewed interest in the instrument problem.

Poole (1970)

to the fall of

had analyzed the

choice of reserves vs interest rate targeting in a point in time model with a
fixed price level.

Sargent and Wallace (1975)

addressed the problem in a fully

dynamic context with a variable price level and variable inflation expectations.
They argued that in a flexible price model with rational expectations,
rate targeting made the price level indeterminate.

But McCallum

interest

(1981)

showed

that interest rate targeting was consistent with a fully determinate equilibrium
as long as the interest rate instrument was employed as part of a rule that
targeted the money stock.
McCallum's
with

rational

optimizing

paper reconciled actual Federal Reserve interest rate policy

expectations

model,

monetary

economics.

he showed how a monetary

Although

by

Goodfriend

(1987)

to

show

was

not

an

rule could be made to manipulate

inflation expectations in order to smooth the interest rate.
exploited

his

how

interest

The idea was later

rate

smoothing

by

an

optimizing central bank could explain non-trend-stationary price level behavior.
Barro

(1989) augmented

Goodfriend's

model to investigate

the consequences

of

2
random walk

interest rate targeting.

At about the same time, Mankiw

(1987)

interpreted highly persistent interest rate targeting as optimal inflation tax
smoothing.

Thus Federal

Reserve

interest rate targeting

came to be seen as

potentially explaining the actual highly persistent behavior of nominal interest
rates and inflation.
At a more institutional level, the shift in Fed operating procedures from
tight

Federal

funds rate targeting

in the 197Os, to the 1979-82 nonborrowed

reserve procedures, to borrowed reserve targeting thereafter rekindled interest
in the technical details of policy implementation.
and others,

noticed

Brunner and Meltzer, Poole,

that because reserve requirements

were lagged during

the

early 8Os, weekly nonborrowed reserve targeting was closely related to borrowed
reserve targeting.

They pointed out that the latter was essentially

the noisy

Federal funds rate targeting procedure that the Fed had used in the 195Os, 6Os,
and early

70s.

We will

see below that the Fed also switched

in the 1920s.

From this

to indirect targeting

7ooks less

interest rate targeting to borrowed reserve targeting
perspective,

the recent

switch

from direct

from explicit

anomalous.
Except for the period from 1934 to the end of the 1940s when short-term
interest rates were near zero or pegged, the Fed has always employed either a
direct or an indirect Federal funds rate policy instrument.

This paper contains

a description of the key features of the Fed's interest rate targeting procedure
based on data assembled in Cook and Hahn (1989), and on the views of financial
market

participants

and

Fed officials.

motivate recent theoretical
that must be explained

developments.

These

are

the

stylized

facts

that

They are the empirical regularities

in order to understand the practical

implementation

of

3
monetary

Moreover,

policy.

awareness

of these regularities

is essential

to

interpret empirical evidence on the Fed's influence over market rates.
The plan of the paper is as follows.
interest rate targeting

procedures

are described

issues are discussed in Section II,
in time

instrument

smoothing

in

a

choice

Key features of the Federal Reserve's
in Section

Theoretical

I.

beginning with a brief review of the point
A discussion

problem.

dynamic-rational-expectations

of the mechanics

model

follows,

emphasizing

consequences for the money stock and price level generating processes.

III

of rate

Section

discusses interest rate targeting as inflation tax smoothing.
Section IV suggests how the high degree of persistence the Fed imparts to

the Federal funds rate might naturally arise as a by-product of macroeconomic
stabilization policy.
use indirect,
targeting.

It

also suggests an explanation for the Fed's tendency to

i.e., borrowed

The discussions,

reserve,

rather than direct

Federal

funds rate

in turn, motivate central banker preferences for a

continuity of the short rate.
Finally,
dominant

Section

influence

begins with Miron's
eliminated

the

V

surveys

on the process

(1986)

interest

rate

seasonal

targeting

pointed

short-term

(1987)

the

exerts

interest rates.

evidence

converted

Fed

the

a

It

that the Fed

three-month

rate

finding

effect of Federal funds rate target changes on money

out

by

It

also reviews the implications of interest

Mankiw

expectations theory of the term structure.
rate targeting,

and

that

Next, it reviews Cook and Hahn's (1989)

market rates at longer maturities.
rate

generating

evidence

and Mankiw et al.'s

approximately to a martingale.
of a highly significant

empirical

Fama's (1984)

and

Miron

for

tests

of

the

And it interprets, in terms of funds

and Hardouvelis's

information in the Treasury yield curve.

(1986)

(1988)

findings of predictive

4

I.

ASPECTS OF FEDERAL RESERVE INTEREST

RATE TARGETING

The standard view among Fed officials and financial market participants is
that the Fed has a dominant
interest rates.

influence on the evolution

of short-term

market

We may characterize the important aspects of the Fed's policy

procedure pertaining to interest rates as follows:
Throughout

1)

its history,

the Fed's policy

Federal funds rate or its equivalent.

instrument

has been the

At times, it has targeted

the Federal

funds rate directly in a narrow target band, but more often it has targeted the
overnight rate indirectly using the discount rate and borrowed reserve targets.
2)

The Federal funds target has not been adjusted immediately in response

to new information.
only

after

change.

Rather, the target has been adjusted at irregular intervals

sufficient

information

has been

accumulated

to trigger

a target

Target changes are essentially unpredictable at forecast horizons longer

than a month or two.
3)

Target

changes

occur

in relatively

small

steps of 25 to 50 basis

points, though on occasions they have been considerably
4)

bigger.

Though they have often been separated in time by weeks or months, some

target changes

have been followed

in relatively

rapid succession

(one or two

weeks apart) by further changes in the same direction.
5)

The

Fed

is

understood

to

dislike

"whipsawing

the

market,"i.e.,

following a target change too closely with a change in the opposite direction.
A

target

change

establishes

the

presumption

that

absent

significant

new

information, the target will not be soon reversed.
6) According to market participants, money market interest rates of longer
maturities

are determined

(up to a term premium) by the average expected level

5
of the Federal

funds rate over the relevant

time

horizon

(abstracting

from

default risk).
7)

The Fed adjusts its funds rate target over time in an effort to achieve

a favored mix of goals for unemployment, inflation, credit market conditions, and
the exchange rate.
Comment:

On occasion the Fed and the markets may react to new information

simultaneously.

In such cases it should not be said that a Federal funds rate

target change causes a change in market rates since the Fed is merely reacting
to events in much the same way as the private sector does.

More generally, to

the extent that we believe the Fed reacts purposefully to economic events, we
should not say that funds rate target changes are ever the fundamental cause of
market

rate changes,

since both are driven

by more

fundamental

shocks.

Of

course, such shocks may originate either in the private sector or in the Fed, the
latter as policy mistakes or shifts in political pressure on the Fed.
Nevertheless, the above points do assert that Federal funds rate targeting
has substantially altered the timing and magnitude of the way fundamental shocks
impact on market

interest rates.

Furthermore, because the Federal funds rate

target reacts discontinuously to new information, to forecast target changes the
public must
political

assess the Fed's view of incoming data as well

influence on the Fed.

as any shifting

Such factors specific to Fed interest rate

targeting (those that give rise to Fed watching as opposed to economy watching)
must be added to any list of fundamental determinants of the process generating
market interest rates.

6

II. INTEREST RATE SMOOTHING AND MONETARY THEORY

The Federal funds rate targeting procedure described in Section I, by which
the Federal Reserve purposefully

influences the evolution of interest rates, is

broadly known as interest rate smoothing.

Since the procedure described above

may be said to smooth interest rates in a number of ways, however, there is often
confusion

about

what

smoothing

means.

policy, this may not be a problem.
rate smoothing,
being modelled
Various
addressed

For general

discussions

of monetary

But for theoretical discussions

of interest

it is essential to be clear about what aspect of smoothing

is

and what is not.
aspects of the Federal funds rate targeting procedure

in the theoretical

literature.

have been

Poole (1970) studied the conditions

under which the Fed should target bank reserves or the Federal funds rate at a
point in time.
the

feasibility

maintaining

He was concerned with point 1 above.
of

avoiding

a continuity

of

fluctuations
the

short

rate

continuity

of the short rate captures

Goodfriend

(1987) studied the consequences

sense of minimizing

surprise

really captured in point 3.
extent
focused

that they eliminate
on

choosing

the

changes

the
over

the behavior

(1981) addressed

interest

rate,

time.

Roughly

in points

i.e.,

speaking,

1 and 3 above.

of interest rate smoothing

in rates.

of

in the

This aspect of smoothing

is

But it is also captured in points 1 and 2, to the
temporary

Federal

constancy in interest rates.

in

McCalJum

surprise

funds

rate

rate movements.
target

to maintain

Barro

(1989)

an expected

He studied the random walk nature of Federal funds

rate targeting implicit in the idea that target changes are unforecastable.

Thus

Barro studied aspects of smoothing captured in points 1 and 2, though he ignored
the fact that target changes are triggered discontinuously

in response to the

7
flow

of

new

information.

Interest

deterministic

seasonals

theoretically

in Barro (1989).

rate

smoothing

as studied empirically

can

also

(1986)

by Miron

mean

removing

and modelled

The most extreme form of rate smoothing, a peg,

has also been studied theoretically, e.g., McCallum (1986).
The remainder of this section reviews the instrument choice problem and the
mechanics and consequences of minimizing rate surprises in the context of optimal
dynamic stabilization policy.
in Section III.
we

focus

in

Seasonality

Random walk interest rate targeting is discussed

Continuity in the short rate is discussed in Section IV,
more

detail

on

some

institutional

and pegging were mentioned

aspects

for completeness,

of

Fed

where

behavior.

but will be ignored

here.

II.1

Instrument Choice
Poole (1970)

problem.

provided the classic statement and solution of the instrument

The problem arises because policy must be implemented by predetermining

a variable

on a period-by-period

basis.

He recognized

instrument would not matter in a world of certainty.
knew

the

model

of

contemporaneously,

the

economy

and

could

of

If the monetary authority

observe

aggregate

variables

any feasible outcome could be achieved by setting either the

Federal funds rate or aggregate bank reserves.
confronting

that the choice

policymakers,

To model the uncertainty actually

Poole imagined the IS

and LM relationships

in the

assumed model economy to be disturbed by contemporaneously unobservable shocks.
Likewise,

he

contemporaneous

assumed

implicitly

that

because

of

a

data

aggregate output was unobservable as well.

processing

lag,

Hence, the policy

instrument had to be chosen before the IS and LM relationships could be located
for sure.

8

Poole saw that if output deviates from a target level mainly because of IS
shocks, then output is best stabilized by holding bank reserves constant.
if the deviation

in output is mainly due to LM disturbances

then the interest

But Poole also recognized that under a

rate should be the policy instrument.
reserve instrument, themonetary

And

authority could observe contemporaneous interest

rate movements which contained information about unobservable

IS and LM shocks.

,He worked

could

out a combination

contemporaneous

by which

bank reserves

authority

is interesting for our purposes because

might wish to directly

in time

to

analysis,

carried

out

it shows why a

alter the interest rate generating

process in pursuit of deeper stabilization policy goals.
point

respond

interest rate information to better stabilize aggregate output.

Poole's analysis
monetary

policy

assuming

a fixed

Yet Poole's is only a
price

level

and zero

expected inflation.

II.2

Rate

Smoothing and the

Goodfriend's

Price

Level

Generating

(1987) model may be approached

analysis to a flexible price-rational

expectations

Process
as an extension
model.

of Poole's

Goodfriend

assumed

that the central bank chooses its money supply rule to minimize fluctuations
aggregate output arising from one-period-ahead price level forecast errors.
he

assumed

variability

that

the

to minimize

central

bank

any distortions

incomplete indexation of contracts.
LM relationships,

wishes

to

minimize

that might

expected

And

inflation

arise due to costly

He also assumed disturbances

in

and

to the IS and

as well as aggregate output and prices, to be observable with

a one period lag.
The new feature in Goodfriend's model is a money supply rule that allows
the

central

bank

to choose

the contemporaneous

money

stock

response

to an

9

interest rate innovation a&

the extent to which the contemporaneous money stock
If the offset is exact, then the money

response is offset in the next period.

stock will be trend stationary, otherwise it won't be.
persistence

in the model,

so the

price

There is no real-side

level generating

process

is trend-

stationary if and only if the money stock is.
Goodfriend
macroeconomic

found

that

stabilization

if

the

central

bank

of output and inflation,

stationary process for money and prices.

is

concerned

only

with

it will choose a trend-

A combination

policy a la Poole is

optimal with an exact offset.
The reason is as follows.

The central bank adjusts the current money stock

M, so that its best guess of the current price level P,, conditional on observing
the interest rate rt, equals the price level expected as of last period.

To

achieve constant conditional expected inflation (assumed zero for simplicity),
it would like to make the conditional

expected future price level equal last

period's expectation of the current price level.

link between

M
t

EP

t tt1

=

EP.

t-1

t

and

E M
t t+1

and setting the latter at a constant such that

Breaking the link between M

and trend-stationary

This is done by breaking any

t

and E M

t

tt1

means complete offset

money and prices.

In the second part of his paper, Goodfriend showed that coupling a concern
for rate smoothing with its other stabilization objectives induces a central bank
to make the price level non-trend-stationary.
trend-stationary

money

when

the

rate

first a

supply rule. To smooth the interest rate beyond that

associated with macroeconomic
money

To see why, consider

rises

stabilization policy, the central bank adds more
and

drains

more

when

it

falls.

Whereas

the

10
contemporaneous

conditional covariance between the interest rate and the price

level was made

zero before,

stationarity,

rate

rate

therefore,

smoothing makes

smoothing

raises

it positive.

one-period-ahead

With

trend-

price

level

forecast error variance and yields greater output instability.
But in Goodfriend's model a central bank wishing to avoid such output
instability could make M

t

respond to r

as before and instead make E M

t

t

tt1

respond negatively to r . Thus the interest rate could be smoothed by generating
t
negative expected.money
when rt fell.

growth when rt rose and positive expected money growth

The central bank would thereby transform temporary shocks to the

interest rate into permanent shocks to the money stock and the price level.

The

latter would no longer be trend-stationary but would drift through time randomly.
Goodfriend
determinate

thus explained how an optimizing central bank could produce a

though non-trend-stationary

The idea was later used

price level.

by Barro to model non-trend-stationary

inflation.

Goodfriend's analysis is consistent with the monetarist view that interest
rate smoothing creates macroeconomic instability, e.g., Poole (1978,
Rate

smoothing

with

trend-stationarity

greater output instability.
output

instability

if

makes

money

pp. 106-10).

too procyclical,

causing

The new idea is that rate smoothing need not cause
the

money

supply

process

is

made

non-trend-

stationary.
A recent empirical
Schwartz (1990)

study of U.K. monetary policy by Bordo, Choudhri, and

finds that if the Bank of England had followed a trend-stationary

money supply rule since.the mid 197Os,

it would have reduced the variance of the

stochastic trend in prices by more than one half.

They suggest that interest

11
rate smoothing may well have induced the Bank of England to allow money stock
"base drift" to reduce the predictability of the trend price level.
There may exist other mechanisms that generate non-trend-stationary
and prices.
does so.

Van Hoose (1989)

money

has argued that the Fed's monetary targeting itself

He uses a version of Goodfriend's model in which either an interest

rate or a total reserves instrument is set period-by-period

at levels that are

expected to make the quantity of money demanded equal to the desired target.

The

key point is that the instrument does not respond to new information received
within the period to which

it pertains.

combination policy is ruled out.

So whichever

instrument

is used, a

Using an interest rate instrument is an extreme

form of smoothing and so clearly implies non-trend stationarity for exactly the
reasons argued by Goodfriend.

Since the Fed has never used a total reserves

instrument, that could not be an alternative explanation for actual price level
non-trend-stationarity.
Goodfriend's model is only about the consequences of rate smoothing.

It

merely suggests that central banks smooth interest rates to cushion the banking
system against interest rate shocks.
detail.

His explanation

Cukierman

(1989)

works out the idea in

is based on the fact that the interest rate on loan

contracts is determined prior to the determination of the cost of funds to banks.
Unanticipated

credit or money demand shocks after banks have entered into loan

commitments create a negative correlation between competitive deposit rates and
bank profits.

Rate smoothing protects the banking system against such negative

cash flows and the risk of widespread

It

insolvencies.

would appear feasible for loan rates to float daily with the Federal

funds rate, or for banks to hedge their loan commitments by holding time deposits
of similar maturity.

Is

the fact that they generally do not choose to do so

12

itself a consequence of central bank rate smoothing?

One would want to analyze

the social value of rate smoothing more fully in a model in which banks choose
the

optimal

level

of capital

together

with

the

extent

to which

they

hedge

interest rate risk.
Of course, during a potential liquidity crisis the central bank ought to
follow Bagehot's

(1873) advice and defend a short-term rate ceiling to prevent

interest rate spikes from creating widespread insolvencies.
Federal funds rate automatically
insolvency

Now, targeting the

protects the banking system against risk of

in the event of a liquidity crisis.

But it would be sufficient

to

announce and defend a ceiling suitably above the current normal range of market
rates.

It is difficult to understand the Fed's inclination to target the Federal

funds rate period-by-period

III.

INTEREST

in terms of lender of last resort concerns.

RATE TARGETING AS INFLATION

TAX SMOOTHING

Highly persistent interest rate targeting cannot be explained as financial
market stabilization

policy.

After all, our current saving and loan problems

began with the unexpected persistently high interest rates of the 1970s and early
80s.

The attractiveness

of Mankiw's

(1987) view of rate targeting

as optimal

inflation tax smoothing is that it predicts highly persistent nominal interest
rates, inflation, and money growth such as we have observed in recent decades.
The theory
(1979) optimal
sources.
The

second

as expressed

tax smoothing

by Mankiw
model.

is basically

The government

an extension
raises

of Barro's

revenue

from two

The first is a tax on output, such as an income tax or a sales tax.
is seigniorage,

the printing

of new money.

The government

must

satisfy a present value budget constraint by adjusting tax rates on goods and
money as it receives new information on its revenue requirements over time.

The

13

goal of the government is to minimize the expected present value of dead-weight
losses due to the use of distortionary taxes.
Expected dead-weight losses areminimized

by maintaining expected constancy

in both the goods tax rate and the nominal interest rate.

The real interest rate

is assumed constant, so the nominal rate moves with expected inflation, which is
also a martingale.

The theory implies that the contemporaneous

marginal dead-

weight costs of raising revenue through direct taxation or seigniorage should be
equal.

So the level of direct taxation should move together with inflation and

nominal interest rates.

The theory of optimal seigniorage

gets support from

evidence, documented by Mankiw, that nominal rates and inflation in the post war
U.S. positively covary with government receipts as a percent of GNP.
Mankiw does not discuss how a central bank could actually implement optimal
inflation

tax

smoothing.

For

this

one

must

supplements Goodfriend's model in two ways.
an exogenous

random

walk.

to

Barro

(1989).

Barro

He makes the interest rate target
shocks

and deterministic

seasonals to money demand and the ex ante real interest rate.

So modified, Barro

tests the model's implications on U.S. data from 1890 to 1985.

Roughly speaking,

Barro

checks

restriction

(0,1,2)
the

the

walk

he adds permanent

interest

rate

feature

of

the model,

and

the

that both money growth and inflation should each follow an ARIMA

process.
interwar

random

And

go

He rejects the model on pre-Fed data, finds mixed results for

period,

but cannot

reject the model

for the post-World

War

II

period.
Barro's work appears to provide support for the tax smoothing theory of
monetary policy.

However, a closer look reveals that he uses the tax smoothing

theory merely to motivate including the random walk interest rate target in the
model.

Though he offers no alternative

theory, he admits that interest rate

14

targeting could have nothing to do with fiscal concerns.
potentially

supportive

targeting,

of other

explanations

for

So Barro's work is also

random

walk

interest

rate

such as one sketched in Section IV below.

Poterba and Rotemberg (1990) extend Mankiw's empirical analysis to Japan,
France,

Germany,

and the U.K.,

but find

a significant

between inflation and tax rates only in Japanese data.
with mixed results, unit root tests and cointegration
sample of ten industrialized

positive

association

Grilli (1988) reports,
tests of the theory on a

countries.

At the theoretical level, Kimbrough (1986) and Lucas (1986) have suggested
that

modelling

money

as

an

intermediate

good

can

overturn

the

traditional

conclusion that the inflation tax should be used in a second-best world.

If the

tax rate on final output is set optimally, taxing money is inefficient.

Barro

points out, however, that a positive tax rate on money allows the government to
tax output in the underground economy, and that if the main existing taxes are
on some factor inputs, especially labor, then it may be desirable to tax other
inputs

such

detail.

as monetary

services.

Woodford

(1988) surveys

these

issues

in

In Mankiw's words, the precise circumstances under which the use of the

inflation tax is second-best optimal remain an unsettled issue.
Mankiw's

model

of optimal

seigniorage

makes

expected

money

growth

inflation react to new information on government revenue requirements.
an optimal inflation tax rule should also allow the contemporaneous
and price

level

to

react

to such

news.

The

inflation amounts to an ex post capital levy.

revenue

obtained

and

However,

money stock
by

surprise

As with other surprise capital

levies, surprise inflation raises revenue with little dead-weight loss.

Although

systematic inflation surprises cannot arise in rational expectations equilibrium,
the rule would optimally allow for inflation surprises contingent on innovations

15
to expected government

revenue requirements.

Judd

(1989)

makes

some related

points in a more general analysis of the role for surprise contingent capital
levies in a dynamic-stochastic
On this basis,

economy.

one can question

of rate

targeting should be interpreted as optimal inflation tax policy at all.

Recall,

in assuming that the central bank minimized

period ahead price level forecast errors.
a concern

for stabilization

Barro's

(1988)

model

that he followed Goodfriend

whether

policy,

one-

While such might be well motivated by

it is contrary

to optimal

inflation tax

policy.

IV.

CONTINUITY

OF THE SHORT RATE

This section asks why central bankers themselves might have a preference
for maintaining

continuity of the short rate.

The preference is reflected in

the Fed's use of a Federal funds rate policy instrument
reserve instrument.

It

rather than a bank

is also evident in the reluctance to change the target

frequently and in the reluctance to change targets in steps bigger than 25 or 50
basis points.

The tendency is, however, not a hard and fast rule so that target

changes may occur more frequently and step sizes may be bigger in periods of
greater underlying

volatility,

e.g., the period from October

1979

to October

1982.
The purpose of this section is two-fold.

It is to offer an alternative

explanation for the high degree of persistence the Fed imparts to interest rates,
and to understand its preference for indirect rather than direct Federal funds
rate targeting.

In so doing, we will develop an understanding of central banker

preferences for continuity of the short rate.

16

IV.1

Stabilization

and the Persistence of Interest

Rates

While it may be possible to rationalize temporary rate smoothing as optimal
financial stabilization policy, it doesn't seem reasonable to rationalize highly
persistent rates this way.

The tax rate smoothing theory is appealing because

it predicts highly persistent rates.

But there is little evidence that the Fed

considers fiscal implications when it routinely adjusts its Federal funds rate
target.

So we

seek to understand

how the routine

pursuit

of macroeconomic

stabilization policy might induce the Fed to impart martingale-like
short-term

behavior to

interest rates.

An argument

to this effect might run as follows.

The Fed adjusts

its

Federal funds rate target over time in an effort to stabilize unemployment

and

inflation as best it can.

Output and prices do not respond directly to weekly

Federal funds rate movements, but only to rates of at least three or sixth months
maturity.
stabilizing

Hence,

the

Fed

and manipulating

targets

the

longer-term

Federal

funds

money

market

rate with
rates.

the

aim

of

Let's

say

it

chooses a current week's Federal funds rate target for its effect on the threemonth rate for the following thirteen weeks.

As point 6 in Section I asserts,

the market determines the three-month rate (abstracting from a time-varying term
premium and default risk) as the average expected level of the Federal funds rate
over the next three months.
loan with

a three-month

Federal funds overnight

To see why, note that a bank may fund a three month

certificate

of deposit,

or

for the next three months.

it could

plan to borrow

So cost minimization

and

competition among banks keep the CD rate in line with the average expected future
Federal funds rate.

Bank loan rates are linked to expected future funds rates

by a similar argument.

And arbitrage among holders of money market securities

links Treasury bill and commercial paper rates to CD rates of similar maturity.

17
Since longer-term rates are determined as an average of expected future
Federal funds rates, the Fed could target the three-month rate with a variety of
expected

future

Federal

funds

rate paths.

maintain

an expected constancy

months.

Since simplicity is highly valued in communicating policy intentions,

But clearly

the

simplest

is to

in the Federal funds rate for the next three

it is easy to understand why the Fed might manage its Federal funds rate target
so as to maintain an expected constancy of the Federal funds rate over any threemonth period.
expected

But we can say more.

constancy

Adjusting the target so as to maintain an

in the Federal funds rate for three months

rules out any

expected change in the three-month rate in any week of the upcoming three-month
period.

This, in turn, implies an expected constancy forever.

So even though

the Fed may care only about controlling the current three-month rate, doing so
by maintaining a three-month expected constancy of the Federal funds rate tends
to impart a more permanent expected constancy to interest rates.
Thus we can appreciate how the pursuit of stabilization policy itself may
tend to impart a high degree of persistence to short-term interest rates.

We

have not said anything yet about the ex ante real interest rate.

But suppose

real rate shocks, whether or not they are influenced by monetary

policy, are

transitory.

Then the

interaction

interest rate generating

between the Fed's martingale-like

process and the ex ante real rate process

highly persistent component in the inflation generating process.

nominal
implies a

This view would

explain inflation persistence not as optimal tax smoothing, but as the outcome
of an expected continuity that the central bank builds into the short rate in the
pursuit of stabilization policy.
Continuity plays another role here as well.

The Federal funds rate target

is not changed in response to new information received daily or even weekly.

By

18
point

2 of

Section

accumulation

I, target

of new information

such, in practice

changes

occur

discontinuously

only

after

is deemed sufficient to trigger a change.

it may be possible to predict somewhat the likelihood

target change before it occurs.

an
AS

of a

Thus the expected future funds rate may vary

around the prevailing Federal funds rate target causing the Fed to lose leverage
over, say, the three-month
changes

itself

minimizes

rate.

To some extent,

somewhat

the

loss

of

understand point 3 of Section I in this regard.
to relatively

the infrequency

control.

But

By restricting

one

of target
may

also

target changes

small steps of 25 or 50 basis points, the Fed reduces the extent

to which the expected future funds rate will vary around the current target.
course there is a tradeoff here.

For the restriction

Of

to be credible, the Fed

must actually delay or spread out target changes that it might otherwise like to
make immediately.

IV.2

Direct

vs Indirect

Point

Federal

1 of Section

Funds Rate

I described

Targeting

the Federal

Reserve

as having

either direct or indirect Federal funds rate targeting throughout

employed

its history.

This section contrasts direct and indirect targeting, and reviews briefly their
history.

It also discusses the costs and benefits of each from the point of view

of a central bank.
The
operations

Fed targets
to defend

allowed to move.

the

Federal

a relatively

funds rate directly

by using

open

market

narrow band within which the funds rate is

For example, from 1975 to October 1979 the range was commonly

25 basis points, see Cook and Hahn (1989, app. A).
means moving the band up or down.
within the band, triggering

In practice, a target change

One can imagine the funds rate bouncing around

"defensive" open market operations whenever it hits

19
A target change becomes apparent to the

the upper or lower intervention points.

market whenever the rate moves beyond a previously defended point.
funds

rate

targeting,

the

market

understands

target

changes

Under direct
clearly

and

immediately by merely observing Federal funds rate movements.
Indirect funds rate targeting is more complicated.

Here the Fed estimates

the banking system's demand for reserves, and provides the bulk of those reserves
through open market purchases.

But it forces the banking system to borrow a

small fraction from the discount window.

Given the non-price-rationing

at the

discount window, the quantity of discount borrowing that banks are willing to do
depends positively on the spread between the Federal funds rate and the discount
rate.

So for a given discount rate, targeting borrowed reserves allows the Fed

to target the Federal funds rate indirectly.
targeting,

however,

borrowed

reserve

In contrast to direct funds rate

targeting

is

inherently

noisy

because

borrowing cannot be targeted exactly and because the demand schedule for borrowed
reserves itself is unstable.
rate combination

In other words, a given borrowed reserve-discount

will tend to tie the funds rate only loosely

to a target.

Moreover, since there is no narrow band within which the rate is clearly kept,
it is not as obvious to the market what the target is.

And it generally takes

the market longer to perceive changes in the target.
During the early years of the Federal Reserve System, there was no nonprice-rationing at the discount window and the discount rate was the Fed's policy
instrument.

In 1919 and 1920 discount window borrowing even exceeded member bank

reserve balances at the Fed.

Consequently, the overnight loan rate, e.g., then

the call loan rate, was directly

192os,

Fed

nonborrowed

open

market

reserves.

linked to the discount

security
And

the

purchases

largely

Fed gradually

came

rate.

replaced
to treat

Later in the
borrowed

with

borrowing

as a

20
privilege and not a right.

Having effectively introduced non-price-rationing

at

the window, the Fed then began to target the Federal funds rate indirectly with
a borrowed reserve target.
In the 193Os, interest rates declined to a fraction of the levels
averaged in the 20s.
market

rates,

Essentially,

so

they

had

The discount rate was reduced but not allowed to fall below

discount

window

borrowing

was

negligible

from

1934

on.

short rates were near zero during this period and the Fed did not

bother to target them either directly or indirectly.
policy was constrained

During the 4Os, monetary

by the wartime and postwar interest rate peg.

When monetary policy regained its independence after the 1951 Accord, the
Fed returned to the indirect Federal funds rate targeting procedure it had used
in the late 20s and early 30s.

At the time the procedures were known as "free

reserve" or "net borrowed reserve" targeting,

see Brunner and Meltzer

(1964).

The Fed continued to target the Federal funds rate indirectly until the early

197Os,

when it shifted gradually to directly targeting the Federal funds rate

within a narrow band.
The period of nonborrowed reserve targeting between October 1979 and the
fall of 1982 was one in which the Fed was willing to allow a more volatile funds
rate.

But while strictly targeting nonborrowed reserves could

funds rate to be determined

automatically

by market forces,

have allowed the
in practice,

funds rate was usually indirectly controlled by a borrowed reserve target.

the
Cook

(1989) has documented that roughly two-thirds of the movement in the funds rate
during this period was due to deliberate discretionary

actions of the Fed, e.g.,

changing the discount rate or the borrowed reserve target.
Since

1982

the

Fed

appears

to

have

completely

reverted

targeting procedures akin to those of the 2Os, 5Os, and 60s.

to

indirect

Recently, there is

21

some evidence of a gradual return to direct targeting within

a narrow band,

though that has not yet been formalized in the Directive.
Why has the Fed employed both direct and indirect procedures for targeting
the Federal funds rate?
the purpose

Direct targeting would appear to have an advantage for

of controlling,

say, the three-month

rate.

It communicates

the

current target exactly to the market, and allows the market to pick up a target
change immediately.
But we can appreciate what the Fed perceives to be the benefit of indirect
targeting

in the

following

two statements.

The

first

statement

is one by

Governor Strong from 1927:
...It seems to me that the foundation for rate changes can be more
safely and better laid by preliminary operations in the open market
than would be possible otherwise, and the effect is less dramatic
and less alarming to the country if it is done in that way than if
we just make advances and reductions in our discount rate....[Strong
1927, p. 3331
The second statement

is one by Chairman Greenspan

from 1989.

He is

talking about whether the Fed should be mandated to publicly state its current
Federal funds rate target
discussed

below,

this

and announce

issue

is closely

immediately a target change.
related

to the perceived

But as

benefit

indirect targeting.
Chairman Greenspan says:
The immediate disclosure of any changes in our operating targets
would make this information available more quickly to all who were
interested, but it would have costs.
Simply put, this provision
would take a valuable policy instrument away from us.
It would
reduce our flexibility to implement decisions quietly at times to
achieve a desired effect while minimizing possible financial market
disruptions.
Currently, we can choose to make changes either quite
publicly or more subtly, as conditions warrant. With an obligation
to announce all changes as they occurred, this distinction would
evaporate; all moves would be accompanied by announcement effects
akin
to
with
those
currently
associated
discount
rate
changes.... [Greenspan 1989, pp. 14-151

of

22
Remarkably, although the statements were made sixty years apart, they make
essentially

the

same point.

Any direct

interest

rate

targeting

procedure,

especially one in which the current target is publicly announced, would likely
give a target change the status of a major news event.
best that routine target changes not make the news.
reserve, targeting gives the Fed that option.

But the Fed believes it
Indirect,

i.e., borrowed

It allows the Fed to control the

current funds rate without defending a narrow target band, so the market at large
cannot easily see the target.
transmit

Fed intentions

quietly for two reasons.

Fed watchers follow the funds rate target and thus

to the market.

continuity

changes

can be brought

about

Open market operations can be used to gradually change

the borrowed reserve target.
resolved gradually.

Target

And the uncertainty surrounding target changes is

By stretching out a target change, i.e., by maintaining

a

of the short rate, the Fed can keep its target change out of the

headlines.

Essentially,

perception

of its target

it does so by assuring that a change
is not sufficiently

newsworthy

in the general

on any one day.

Of

course, by using the discount rate to change the funds rate target, the Fed can
always grab the headlines
We
targeting.

can

thus

if it wants to.

appreciate

the

perceived

The option to quietly change

benefit

of

indirect

its target, however,

funds

rate

is not without

cost.

It opens the door to having its target misinterpreted,

e.g., Wessel and

Herman

(1989).

a risk of being

misinterpreted

The

Fed faces a tradeoff.

if it wants

It must

accept

the option to quietly change

its target.

We may

understand the Fed's choice of direct vs indirect targeting as driven by shifts
in its perception of the cost of being misinterpreted
avoiding the headlines.

relative to the benefit of

23
V. EMPIRICAL

EVIDENCE AND IMPLICATIONS

The paper has explored the view that the Fed dominates the evolution of
short-term

interest rates.

This section surveys empirical

founding of the Fed and from the 1970s that demonstrates
rates.

evidence

from the

the Fed‘s power over

The evidence supports the expectations theory of the term structure as

embodied

in point 6 of Section

implications

for conventional

I.

tests

Federal funds rate targeting
of the expectations

theory

itself has
of the term

structure that are discussed briefly.

V.l

The Founding

of the

Fed

The Federal Reserve radically

altered the character of short-term

movements when it began operations in 1914.

rate

Consider one measure of the short-

term rate, the monthly average New York call loan rate as reported in Macaulay
(1938).

Prior to the creation of the Fed, this rate rose suddenly and sharply

from time to time.

For example, in October 1867, after remaining between 4 and

7 percent for the previous three years, the call loan rate rose suddenly from 5.6
to 10.8 percent.

Although this change seems large by post-war U.S. standards,

similar episodes ocurred 26 times beween the Civil War and the creation of the
Fed.

Moreover,

surprising

frequency,

Accompanying
much less

sudden

changes
on

8

of over

occasions

10 percentage
during

the

points
same

occurred

49-year

with

period.

these sudden upward jumps in call loan rates were similar though

severe movements

in 60- to go-day commercial

paper

rates.

These

episodes were distinctly temporary, ranging from one to four months, with many
lasting for no more than one month.

Such extreme temporary spikes are absent

from interest rate behavior since the creation of the Fed.

24

Another

distinctive

feature of the period before the Fed was the large
According to Miron (1986),

seasonal in short-term rates.
variation

of the call loan rate from 1890

to 1908

the average seasonal

ranged from a peak of t4.6

percent in January to a trough of -1.39 percent in June.
annual mean
winter.

By

Rates were at their

in the spring, below it in summer, and above
the

1920s

the

prominent

interest

rate

it in the fall and

seasonal

had

virtually

disappeared.
Mankiw

et al. (1987)

documented

a substantial

process generating the three-month time loan rate.
found the rate to be quickly mean-reverting
between 1920

and 1933

change

in the stochastic

Between 1890

and 1910,

and highly seasonal.

they

By contrast,

they found it to be close to a random walk. Mankiwet

al.

also examined the relation between three- and six-month rates before and after
the founding of the Fed.

The two rates moved together more closely in the later

period, as predicted by the expectations theory of the term structure given the
greater persistence

of the three-month rate.

The evidence strongly suggests that the Fed altered the process generating
short rates.
rates.

Yet Mankiw et al. do not explain how the Fed was able to smooth

The problem is that the U.S. was on a gold standard during the period,

and the Fed was committed to maintain a fixed dollar price of gold.

How then was

the Fed able to pursue a second objective, namely, interest rate targeting?
answer, worked out in Goodfriend

(1988),

of policy freedom under a gold standard.
money

and

gold.

Goodfriend

explained

The

is that a central bank has two degrees
It can choose policy rules for both
how

the

Fed

stockpiled

excess

gold

reserves, and allowed its stockpile to vary in support of the fixed dollar price
of gold while using monetary policy to target the interest rate.

25
V.2

Federal Funds Rate Targeting in the 1970s
The standard test of the Fed's influence on interest rates is to regress

rates on current and past money growth.

The regressions yield little support for

the view that the Fed can influence rates, see Reichenstein (1987).

However, one

may question the findings by noting, as Mishkin (1982) did, that such tests may
be misspecified

if the Fed smooths

Indeed,

rates.

interest

rate targeting

requires the Fed to accommodate changes in money demand to support the current
target.

So there need be no close relationship between observed changes in money

growth and interest rates.
Cook and Hahn (1989) test for evidence of the Fed's influence on rates by
examining the reaction of interest rates to Fed target changes.
the reaction of rates to target changes
September

1979.

They estimate

in the period from Sepember

1974 to

This period is unique in that the Fed controlled the Federal

funds rate so closely that market participants could identify most target changes
on the day they were first implemented, and the changes were reported

in the

financial press the following day.
Cook and Hahn found that changes in the Federal funds rate target were
followed
movements

by large movements

in the same direction

in intermediate-term

long-term rates.

in short rates,. moderate

rates, and small but significant movements

in

The 3-,6-, and 12-month bill rates all moved by about 50 basis

points in response to a 1 percentage point change in the funds rate target.
3-year bond rate moved by 29 basis points.

The

The lo-year bond rate move was 13

basis points. And the 20-year bond rate moved 10 basis points.

All regression

coefficients were significant at the 1% level.
The similar response of 3-, 6- and 12-month bill rates to target changes
is striking confirmation of the idea that the Fed maintains an expected constancy

26
in the Federal funds rate for periods as long as a year.

But the declining

responses of 3- to 20-year bond rates are consistent with slow mean reversion in
rates.

In this regard, Cook and Hahn's findings are broadly consistent

with

those of Fama and Bliss (1987).
A particularly

interesting aspect of Cook and Hahn's results is that bill

rates move by only about 50 percent of a target change.

This suggests that on

average the market has already built into rates about half of each target change
by the day it occurs.

Roughly speaking, about half of each target change appears

to be expected by the time it happens.

IV.1

that, given

forecastable

the Fed's targeting

to some extent.

This supports the conjecture in Section
procedures,

target

changes

ought to be

The similarity of the response of 3- to 12-month

bills, however, implies that any forecastability must be limited to a horizon of
only a month
Hardouvelis

or so.

(1988).

We find just this sort of evidence
Fama, for example,

presents evidence

in Fama

(1984)

and

that the one-month

forward rate has power to predict the spot rate one month ahead.
The
assumption

interpretation
that movements

rates and not the reverse.

of Cook and Hahn's

regression

results

rests

in the funds rate target caused movements

on the

in other

They defend their assumption as follows:

The Desk changed the funds rate target in this period either under
instructions
from
the
FOMC
or
under
the
Desk's
explicit
As we document in a
interpretation of the latest FOMC directive.
working paper (1989),
in all but five of the former cases the actual
change in the target lagged the FOMC instructions by one or more
days, and in about half of the latter cases the market's perception
of a change in the target lagged the Desk's decision to change the
target by at least
one day.
In these cases the reverse causation
argument makes no sense because changes in the target initially
decided on prior to the day they were reported to have occurred by
the Journal could not possibly have been made on the basis of the
movement in market rates that day.
[Cook and Hahn 1989, p. 3421.

27
Cook and Hahn go on to say that 20 out of the 76 target changes in their
sample did occur on the same day as the Wall Street Journal reported them.

But they reestimated

argued that even these were unlikely to be contaminated.
their

basic

regression

leaving

out

the

suspect

They

observations,

without

significantly different results.

V.3

Implications for Tests of the Expectations
Theory of the Term Structure
The views of market participants together with Cook and Hahn's findings

constitute

strong evidence that expectations of the future level of the funds

rate influence current market rates.

Yet a recent group of papers that have

studied the slope of the money market yield curve have found little;

if any,

support for the expectations theory of the term structure, see references in Cook
and Hahn (1989).

The standard test of the expectations theory in these papers

is to regress the change in the 3-month rate from period t to period ttl
difference between the 6-month and 3-month spot rates in period t.

on the

Mankiw and

Miron (1986)

pointed out that in the presence of a time-varying term premium, the

coefficient

in such a regression tends to be biased downward.

proportion

The greater the

of the variance of the yield curve slope due to the expected term

premium and the less due to the expected change in the 3-month rate, the greater
will be the downward bias.
Cook and Hahn showed that the slope of the yield curve from three to twelve
months

is not responsive

to new information

influence interest rate expectations.

(funds rate target changes) that

So the variance of the yield curve slope

over this range is likely to be dominated

by movements

in the term premium.

Thus, as Mankiw and Miron argued, the conventional test of the expectations

28
theory performs poorly in the presence of interest rate targeting as practiced
by the Federal Reserve.
CONCLUSION
The paper described

key features of the Federal Reserve's

interest rate

targeting procedures and addressed a number of issues in light of these stylized
facts.

It pointed out various ways in which the procedures may be said to smooth

rates, and identified each with one or more theoretical model of rate smoothing.
The theoretical models all had in common the idea that interest rates are
smoothed by manipulating

expected money growth and inflation.

This suggested,

in turn, that rate smoothing may be an important determinant

of the inflation

generating
inflation

process.
and

At

tends

a minimum,

to

induce

rate

smoothing

can

imply more

non-trend-stationarity

in

the

persistant

price

level.

Moreover, policy that maintains an expected constancy in rates tends to induce
non-trend-stationarity
There was

in the inflation rate.

some question

expected constancy

in rates.

about what motivates

the Fed to maintain

One possibility, critiqued

such rate smoothing is optimal inflation tax smoothing.

near

in the paper, is that

An alternative argument

advanced in the paper is that stabilization policy, implemented by interest rate
targeting,
inflation.

inadvertantly

induces martingale-like

Thus we saw Fed rate targeting as potentially explaining the actual

high degree of inflation persistence in the U.S.
is radical

behavior in nominal rates and

for two reasons.

It reverses

The rate targeting perspective

the usual

view of the relationship

between inflation and interest rates, and it suggests that explaining the process
generating inflation involves understanding central bank interestratetargeting.

29
As described

in the paper, instead of targeting the funds rate within a

narrow band, the Fed has often chosen to target it loosely using borrowed reserve
The resulting

objectives.
target, makes
relationship

noise

in the funds rate obscures

the funds rate appear free of Fed influence,

the underlying
and weakens

the
This

between the funds rate and longer-term money market rates.

point bears repeating because it tends to complicate empirical investigation of
the stylized

facts of rate targeting

presented

here.

Empirical

work

could

proceed, though, by recognizing that longer-term rates would be closely related
to

the market's

estimate

of

the

underlying

borrowed

reserve

target;which

indicates the Fed's intentions for the current and expected future funds rates.
We saw that indirect funds rate targeting is valued by the Fed because it
gives the central bank the option of quietly changing its target.
works

by

obfuscation,

misinterpreted.

however,

it

raises

the

risk

of

the

Because it

target

being

This suggested that the Fed's tendency to shift back and forth

from direct to indirect targeting is driven by perceived shifts in the cost of
being misinterpreted vs making the headlines.

It is hard to imagine environments

with stable preferences that allow such relative costs to vary over time.

But

progress

our

on

this

question

would

make

an

important

contribution

to

understanding of central banking.
The last section of the paper surveyed empirical evidence from the founding
of the Fed and the 1970s demonstrating
rates.

the Fed's power over market

interest

It nicely supported a number of the stylized facts preseneted

beginning.

Even the greatest

skeptic of the Fed's power

at the

to systematically

influence market interest rates should find the evidence surveyed here troubling.
Of course, all this says nothing about the Fed's power over ex ante real interest
rates.

But we need to take first things first.

30
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Bagehot, W.
(1873)
Barro, R.

Lombard Street, New York: Arno Press, (1978).

(1989)

Interest Rate Targeting, Journal of Monetarv Economics, 23: 3-30.

(19;s)

On the Determination
Economy, 87: 940-71.

of the Public Debt, Journal

of Political

Bordo, M:, Choudri, E., and Schwartz, Anna.
Price-Level
Drift,
and
Base
(1990)
Money
Stock
Targeting,
Predictability: Lessons from the U.K. Experience, Journal of
Monetarv Economics, 25: 253-72.
Brunner, K. and A. Metzer
(1964)
The Federal Reserve's Attachment to the Free Reserves Conceut.
Subcommittee on Domestic Finance. House Committee on Banking and
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Cook, T.

(1989)

Determinants
of the Federal Funds Rate: 1979-1982,
Reserve Bank of Richmond Economic Review, 75: 3-19.

Federal

Cook, T. and Hahn T.
(1989)
The Credibility of the Wall Street Journal in Reporting the
Timing and Details of Monetary Policy Events, Federal Reserve
Bank of Richmond, Workinq Paoer Series, No. 89-5.

(1989)

Cukierman, A.

(1989)

Fama, E. F.
(1984)

The Effect of Changes in the Federal Funds Rate Target on Market
Interest Rates in the 197Os, Journal of Monetarv Economics, 24:
331-351.

Why Does the Fed Smooth Interest

The Information in the
Economics, 13: 509-528.

Term

Rates? Tel-Aviv University.

Structure,

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Financial

Fama, E.F., and Bliss, R.R.
(1987)
The Information in Long-Maturity Forward Rates, American Economic
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Fisher, I.

(1930)

The Theorv of Interest, New York:

Macmillan.

31

Goodfriend, M.

(1988)

(1987)

Central Banking Under the Gold Standard, K. Brunner and A. H.
Meltzer (eds.). Carnegie-Rochester Conference Series on Public
Policy, 29: 85-128.
'Interest Rate Smoothing and Price Level
Journal of Monetarv Economics, 19: 335-348.

Trend-Stationarity,

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