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October 7} 1977

InterestRates:Money Demand
The money-demand approach to
interest-rate determination is considerably more complex than the
inflation-expectations approach
which we analyzed in our article
last week. Among other reasons}
this approach assigns an important
role to economic variables other
than the rate of inflation.
According to the money-demand
approach} short-term interest rates
are determined by the tension between the level of transactions in an
economy and the availability of the
means of settlement. One common
"measure of this tension is velocity}
the rate at which
changes
hands in an
There are as
many measures of velocity as there
are definitions of income and money} but it is common to use V1-the
ratio of nominal GNP to M1J with
the latter defined to include currency plus demand deposits.
According to the theory} when the
level of business activity and GNP
rises} cash needs increase. If this is
not accommodated by a proportional rise in the money supply}
then V1 will increase. To induce
people to adapt to the use of relatively less cash} i.e. higher velocity}
interest rates must rise.

(money demandL (2) forecasting
the behavior of the Federal Reserve
(money supply)} and (3) forecasting
the interaction between the economy and the Fed.
The economy
In the theory of money demand the
value of transactions determines
the demand for money} but in practice some measure of nominal income is used-commonly GNP}
personal income, or personal consumption expenditures-to proxy
for this value. Whether the quarterto-quarter variation in nominal income is due to variation in real
income or to variation in prices is
not significant. In determining the
demand for money} any rise in
nominal GNP will have a positive
influence on interest rates. This fact
makes the interest-rate predictions
following from the inflationexpectations approach sometimes
similar to the money-demand forecasts}since an increase in the rate of
inflation with real economic growth
unchanged will also add to nominal
income directly. That is} higher inflation increases velocity and tends
to push interest rates upward-a
•
similarity to the inflationexpectations approach.

The Federal Reserve
The determination of short-term
interest rates through a moneydemand relationship divides itself
nicely into three parts: (1) forecasting the behavior of the economy

A reduction in the amount of money available with nominal GNP unchanged means that the available
money balances must roll over
more frequently-i.e. velocity goes

(continued on page 2)

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Opinions

expressed in this nevvsletter do not

necessariiy reflect the views of the rnanageITlentof the
federal R.eserveBank of San Francisco,nor of the Board
of Govemors of the Federa! ReserveSystem.

up, putting upward pressure on
interest rates.Thus the ability to
influence the quantity of money,
according to the theory of money
demand, is the source of the Federal Reserve1sinfluence upon interest
rates.This meansthat the future
pattern of money-demanddetermined interest rates depends
to a great extent upon the rate of
money growth the Fed will provide.
At first glance, the task of estimating the Fed's intentions for money
growth-for M1 (currency plus
bank demand deposits), M2 (M1
pl.us.banktime deposits) and M 3,
(M2 plus thrift-institution
deposits)-would seem to be a simple matter. Since early 1975the
Chairman of the Federal Reserve
has provided the banking committees of Congresswith a quarterly
statement of the Fed's intended
monetary growth rates for the year
ahead. But interpretation of these
intended growth rates is not a simple matter, becauseof several factors which make Fed intentions
difficult to translate into information useful for forecasting interest
rates.
First, intended money growth rates
are given as a range. (For example,
in the fourth quarter of 1975,M1
growth-rate targets were 4.5 to 7.5
percent for the four quarters
ahead.) The interest rate consistent
with M, growth of 4.5 percent in
the first quarter of 1976would be
higher than the interest rate consistent with 7.5-percent growth.

2

Second, the intended moneygrowth rates are subject to alteration with unexpected changes in
the economic environment. When
the economy behavesin unexpected ways, monetary policy may
change.
Finally, it is not alwayspossible for
the Fed to achieve its intended
. targets, as we can see by considering the targets established for the
period from the fourth quarter of
1975to the fourth quarter of 1 9764.5 to 7.5 percent for M1 (as noted
above) and 8 to 10.5 percent for M 2.,
During this one-year period actuai
money growth for M, was 5.5 percent, in line with Fed intentions;
but 10.9 percent for M 2 , considerably more than intended. In this case
the Fed's intended growth-rate targets for the two kinds of monetary
aggregateswere inconsistent with
one another, and it was therefore
impossible for the Fed to perform
as intended.
Additionally, the interaction of economic factors and Federal Reserve
policy factors is important for forecasting short-term interest rates in
the more distant future. An increasein nominal income without
an increasein money growth will
push interest rates upward, but as
time passes,the higher interest
rateswill restrain investment and
tend to bring economic growth
back down. Similarly, an unexpectedly high rate of growth in money
stock will reduce interest rates, but
these lower rateswi II then strengthen investment and eventually a
more rapid pace of economic activity will tend to push interest rates
back up.

Percent

220
200

Treasury Bill Rate
Change from Trough

1 80

160
1 40
1 20
1 00

1975-77
Quarters

ExpectationsliS. money demand
It is possible to exaggerate the conflict between the inflationexpectations approach and the
money-demand approach. The
money-demand approach, as described here, is believed by some
economists all of the time, and -by
all economists some of the time.
Eugene Fama, an advocate of the
inflation-expectations approach,
made a relevant point in describing
the pre-1951 period, when the
Treasury-bill rate was pegged by
the Fed, as one where "a rich and
obstinate investor saw to it that
Treasury-bill rates did not adjust to
predictable changes in inflation
rates." In other words, most economists including Fama would agree
that, because of monetary influences, temporary variations in real
returns are possible-which is
another way of saying that interest
rates do not necessarily represent
efficient forecasts of inflation.
Similarly, few economists today
would challenge the idea that a permanent increase in the rate of
inflation, under conditions where
all market participants are fully
aware of this change in the economic environment, would raise
interest rates by the amount of the
increased inflation. So the consensus seems to be that, in the long
run, levels of interest rates are determined by inflation, and in the
short run, rates are substantially
influenced by the Federal Reserve.
The debate is about the length of
the short run.
Interest rates today
Looking back upon the first half of
1977, analysts have examined a
3

after Trough

number of reasons for low interest
rates, such as relatively high foreign
demand for U.S. securities and
greater than usual corporate liquidity. But these after-the-fact explanations of interest-rate behavior make
poor predictors of future interest
rates.
In the first half of 1977, short-term
interest rates should have risen
sharply, according to either of the
approaches that we have analyzed.
Inflation rates exceeded 6 percent
and temporarily went as high as 10
percent, suggesting according to
the inflation-expectations approach
that short-term interest rates should
have risen in tandem with the earlyyear price upsurge. Furthermore,
money growth rates were low in
comparison to the rapid rise in
nominal GNP-i.e. velocity was
higher than expected-and this,
according to the money-demand
approach, also should have meant
higher interest rates.
However, the increasing velocity of
the post-1975 recovery and the
stable levels of interest rates have
not been typical of the velocityinterest rate patterns of earlier recoveries, so that money-demand
relationships have been'wide of the
mark for some time. This partly •
reflects recent changes in tax laws,
and partly a tendency of individuals
and firms to use their cash balances
more efficiently in the wake of the
extremely high interest rates of
1974.
Kurt Dew

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BANKING DATA-TWELfTH FEDERALRESERVE
DISTRICT
SelectedAssetsand liabilities
large CommercialBanks
Loans (gross, adjusted) and investments*
Loans (gross, adjusted)-total
Security loans
Commercial and industrial
Real estate
Consumer instalment
U.S. Treasury securities
Other securities
Deposits (less cash items)-total*
Demand deposits (adjusted)
U.S. Government deposits
Time deposits-total*
States and political subdivisions
Savings deposits
Other time deposits:j:
Large negotiable CD's

Weekly Averages
of Daily Figures
Member Bank ReservePosition
ExcessReserves (+)/Deficiency (-)
Borrowings
Net free(+)lNet borrowed (-)

Amount
Outstanding

9121/77
100,952
78,230
1,762
24,030
25,832
13,544
8,473
14,249
98,327
27,949
528·
68,304
5,279
31,666
29,106
11,471

Change
from

9/14/77
+
+

-

+
+
+
+

+
+
+
+
+
+

Week ended

Change from
year ago
Dollar
Percent

63
312
151
217
97
146
39
288
959
781
33
281
29
17
59
85

+
+
.+
+
+
+

+
+
+
+
+

+
+
+

+ 12.16
+ 14.87
- 15.69
+ 8.34
+ 24.30
+ 15.82
- 8.34
+ 12.60
+ 10.45
+ 10.82
+ 8.42
+ 10.18
- 0.71
+ 15.92
+ 8.24
+ 3.09

10,948
10,125
239
1,850
5,050
1,850
771
1,594
9,300
2,728
41
6,312
38
4,350
2,216
344

Week ended

• Comparable
year-ago period

9/21177

9/14/77

+

30
41
11

+
+

49
10
39

+

694

+

686

+

297

+

411

+

358

+

405

15
0
15

FederalFunds-Seven LargeBanks
Interbank Federal fund transactions
Net purchases (+)/Net sales (-)
Transactions with U.S. security dealers
Net loans (+)lNet borrowings (-)

*Includes items not shown separately. :j:lndividuals, partnerships and corporations.

Editorial commentsmay be addressedto the editor (William Burke) or to the author, •••
Information on this and other publications can be obtained by calling or writing the Public
Information Section, Federal ReserveBank of San Francisco,P.O. Box 7702, San Francisco94120.
Phone(415) 544-2184.