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DEMAND DEPOSITS:
A COMPARISON OF THE BEHAVIOR OF
HOUSEHOLD AND BUSINESS BALANCES
Bruce J. Summers

Demand
deposits held by households
and nonfinancial businesses account for nearly 70 percent of
all demand balances and about one-quarter
of the
Since
commercial
banking
system’s total deposits.
they represent an important source of bank funds, an
understanding
of the behavior
of these two categories of demand
deposits is of great operational
significance
to liabilities managers.
Short-run
variation in these balances must be accommodated
by
adjusting
the secondary
reserve position of a bank
or by engaging in offsetting transactions
in the market for purchased funds. Moreover, applying knowledge about the underlying
trends in demand deposits
of different ownership classes can aid in forecasting
future balance sheet changes.
Privately
held demand deposits also represent
a
large part of the money supply.
If there are significant differences
in the behavior of balances owned
by households
and businesses,
then understanding
these differences
could help in interpreting
money
Financial
analysts
interested
in
supply changes.
explaining
money stock movements,
therefore,
also
have reason to compare the behavior of household
and business demand balances.
The purpose of this article is to describe and explain some of the major types of variation in demand
deposit balances.
It will be shown that there are
significant differences in both the short- and long-run
behavior of demand balances owned by households
and businesses, and that these differences have implications for the efficiency with which commercial bank
liabilities are managed.1
The article is organized
in four sections.
The
first section briefly reviews changes in the composition of the banking system’s liabilities since the late
1940’s.
Section two describes the survey data that
provide information
on private demand deposits by
1 This analysis of demand deposits complements
other
recent work [3, 4] dealing with the behavior of various
categories
of bank and thrift institution
time deposit
liabilities.

2

ECONOMIC

Section three analyzes sources of
ownership
class.
long- and short-run
variation
in household and nonfinancial business demand balances over the period
1971-1978.
Specific topics addressed in this section
include the trend-cycle behavior of demand deposits,
differences in deposit behavior by bank size, and the
The final section suminfluence
of seasonality.
marizes the article’s main conclusions.
HISTORICAL

CHANGES

IN BANK

LIABILITIES

Table I summarizes
secular changes in commercial bank liabilities
starting
in the late 1940’s and
extending through 1978. Over this period, net total
deposits of all commercial
banks, defined as total
demand and time deposits exclusive of deposits due
to other commercial
banks, increased
from $132.4
billion to $918.9 billion, or at a compounded
annual
This growth rate, while subrate of 7.16 percent.
stantial, nonetheless
failed to match the compounded
annual increase in total assets of 7.64 percent.
Consequently,
total deposits as a percent of total assets
fell from nearly 86 percent
in 1950 to about 76
percent in 1978, as is shown in column 2 of Table I.
This erosion in the deposit share of total bank liabilities was made up with nondeposit
sources of
funds, e.g., Eurodollars,
Federal
funds purchases
and repurchase agreements,
and the like. These nondeposit sources of funds do not generally come under
the Regulation
Q limitations
placed on interest payments.
While total deposits were declining in importance
on the banking system’s balance sheet, the composition of deposit liabilities
was also undergoing
dramatic change.
This trend is reflected in columns 3
and 4 of Table I, which show, respectively,
the dollar
amount of IPC (individuals,
partnerships,
and corporations)
demand deposits and such deposits as a
percent
of net total demand
and time deposits.
Private
demand deposits declined from almost 61
percent of net total deposits in 1950 to just over 30

REVIEW, JULY/AUGUST

1979

percent in 1978.
This large drop in the ratio of
private demand deposits to net total deposits reflects
a major shift in public preferences from noninterestearning demand balances to time balances.
Growth
in other types of demand deposits, primarily government deposits, did not increase over’ this period.
While not shown here, the ratio of private demand
deposits to total demand deposits net of interbank
balances remained fairly constant at around 80 to 83
percent between 1950 and 1978.
The increase in IPC demand deposits in column 3
of Table I from $80.7 billion to $279.8 billion represents a compound
annual rate of increase of only
4.54 percent, versus 9.39 percent for total time deposits.
It should be noted that total time deposits
include
all time deposits,
ranging
from regular
savings to negotiable certificates of deposit (CD’s).
The growth rates on these different types of time
deposits have varied depending, among other things,
on market interest rates relative to Regulation
Q
interest
rate ceilings and bank innovations
in the
deposit area. For example, the negotiable CD became
a major source of bank funds only in the early 1960’s,

when an active secondary
market opened for such
instruments.
This institutional
change helps explain
the acceleration
in the rate of decline in the share of
private demand to total deposits that occurred between the decade of the 1950’s and the decade of the
1960’s. The IPC demand deposit share declined by
only 6.1 percentage points in the 1950’s but then by
14.8 percentage
points during
the 1960’s.
Also,
Regulation
Q deposit rate ceilings were increased by
steps beginning in the early 1970’s [4], further helping explain the continued, although somewhat slower,
erosion in the demand deposit share.
The IPC demand deposit share declined 9.6 percentage
points
during the eight-year
period 1970-78.
Ownership
of private demand deposit balances at
commercial banks is dominated by two groups, households and nonfinancial
businesses.
Together,
they
accounted for about $230 billion or 82 percent of total
private demand deposit balances in 1978. The last
four columns of Table I summarize
the behavior of
household
and nonfinancial
business balances from
1947-49 through 1978. A consistent
data series on
demand deposits by ownership class is available only

FEDERAL RESERVE BANK OF RICHMOND

3

from 1970. These data are shown in columns

5 and 7

for households

respec-

tively.
total

Households
private

businesses
ing

and

something
various

businesses,

for roughly

deposits,

for roughly

of

between
other

account

demand

account

proportion

nonfinancial

total

while

one-half.

private

e.g., financial

of

The remain-

demand

15 and 20 percent,

groups,

one-third
nonfinancial

deposits,

is owned
businesses

by
and

foreigners.
The shares of private demand deposits owned by
households
and nonfinancial
businesses,
shown in
columns 6 and 8 of Table I, have not been steady
over time.
Household
deposits have been growing
relatively faster than business deposits for a number
of years.
In fact, the compound
annual
rate of
growth of household demand deposits over the eightyear period 1970-78 is 8.32 percent, about a third
greater than the 6.17 percent rate for nonfinancial
business
deposits.
In the last three years of this
period, however, the growth rate of household
demand deposits decelerated to 7.49 percent while the
nonfinancial
business
demand deposit growth
rate
remained
steady.
This change in relative growth
rates is reflected in the stabilization
of the household
share of IPC demand deposits at about 33.2 to 33.3
percent starting in 1975.
THE DEMAND DEPOSIT OWNERSHIP

SURVEY

Detailed information
on the classification
of privately owned commercial bank deposits is, with one
exception,
not available
from the regular
reports
required of all banks. Schedule F of the Consolidated
Report of Condition
requires separate reporting
of
savings balances owned by “individuals
and nonprofit
organizations”
and “corporations
and other profit
organizations.”
Separate reporting of demand and
time deposits by ownership
classification
is not required.
In the case of time deposits, however, deposits greater than $100,000 in size are listed on the
face of the report in a memorandum
item.
This
allows separation
of time balances
into small and
large deposit categories,
a division which probably
reflects the distinction
between
individual
versus
corporate
and governmental
ownership
fairly accurately.
In the case of demand deposits, however, no
such distinctions
are possible.
Table I suggested that the behavior of private demand
deposits
varies
significantly
by ownership
class.
One source of information,
namely the Demand Deposit Ownership
Survey (DDOS),
allows
analysis
of private
demand deposits by ownership
classification.
This section will briefly describe the
4

ECONOMIC

survey
data.2

and its relationship

to published

money

stock

The DDOS, begun in June 1970, is based on a
nationwide sample of banks stratified by size. These
sample data are used to develop estimates of demand
deposits by ownership class. Large weekly reporting
banks report daily data for each month, while the
smaller banks report daily data for the last month of
each quarter.
Using these reports, it is possible to
make daily average estimates of monthly IPC deposit
ownership at large banks, and daily average estimates
for the last month of each quarter of IPC deposit
ownership
at all banks.
These estimates are published in the Federal Reserve Bulletin. It has been
noted [6] that the first 6 months of data collected
under the survey may be unreliable
due to start-up
reporting
and editing problems.
DDOS reporting
banks classify IPC demand deposits into five ownership categories : financial businesses, nonfinancial
businesses,
consumer,
foreign,
and all other domestic depositors.
The nonfinancial
business and consumer
data for June of each year
are listed in Table I. These two categories are the
largest of the five. The nonfinancial
business category includes both industrial
and professional
acThe consumer category includes individual
counts.
and family accounts, as well as personal trust accounts not under the control of bank trust departments.
DDOS data differ from published money stock data
in three important
respects.
First, M1 includes not
only demand deposits but also currency.
Second,
the demand deposit component
of M1 includes not
only IPC deposits but several other categories
as
well, e.g., state and local government
demand deposits and demand deposits of foreign banks.
Finally, and most important,
the demand deposit component of M1 is adjusted
to exclude cash items in
process of collection
(CIPC)
and Federal Reserve
float. DDOS deposit data include CIPC and float.
After taking these various differences into account,
it is possible to arrive at a close reconciliation
of
DDOS private demand deposit data and the private
demand
deposit component
of M1. It has been
shown that total IPC demand deposits, as estimated
quarterly
from the DDOS, differ from an estimate
of gross IPC deposits derived from M1 by an average
of only .4 percent over the period starting in the
third quarter of 1970 and ending in the first quarter
of 1976 [6].

2 This summary

is based on two articles prepared by the

staff of the Federal

REVIEW, JULY/AUGUST

1979

Reserve

Board

[6, 11].

ANALYSIS

OF VARIATION IN PRIVATE
DEMAND DEPOSITS

Very little analytical
use has been made of the
DDOS,
probably
because
of the relatively
short
history of the data series.
Now, however, several
years of data covering the 1970’s are available for
analysis.
This section of the article examines
and
compares the behavior of household and nonfinancial
business demand deposits using DDOS data.
Explaining
Changes
in Demand
Deposits
The
composition
of the banking
system’s balance sheet
largely reflects the preferences
of individuals
and
businesses
for incurring
certain types of financial
liabilities
(bank loans) and holding certain types of
financial assets (bank deposits).
One type of financial asset held with the banking system, namely demand deposits, accounts for about three-quarters
of
M1, which is the narrowly
defined money stock.
It is useful, therefore,
to relate changes in private
demand deposits to some of the key factors that are
considered
important
in explaining
the demand for
money.
These factors include real income, the average price level, the opportunity
cost of holding money
(demand
deposits),
and institutional
arrangements
in the financial system. While the significance of the
various economic factors is clear, institutional
arrangements
require a bit more description.
Institutional
arrangements
influencing
the public’s
holdings of demand deposits include the regulations
under which suppliers
of demand deposits operate
and the availability
of money substitutes.
The most
significant regulation is Regulation
Q, which governs
the amount of interest that can be paid on various
categories of bank deposits.
Under Regulation
Q,
interest payments
on demand deposit balances are
expressly prohibited.
This feature of the institutional
background
to money demand has been unchanged
since 1933.
Other aspects of the institutional
environment,
however, are changing rapidly.
In particular, recent years have witnessed the introduction
of a number of financial innovations
that are either
close substitutes
for demand deposits or that allow
the public to economize on demand deposit balances.
Examples
pertaining
to households
include NOW
accounts,
which are direct substitutes
for demand
deposits, and automatic transfer services, which permit the convenient
and low cost transfer of funds
into and out of demand accounts.3
In the case of
3 See [1] for a discussion of the background
to and implications of automatic transfer services.
The U. S. Circuit
Court for the District
of Columbia ruled on
April 20,
1979 that automatic transfer
services are not authorized
under current
law, but gave until January
1, 1980 for
banks to comply with the order.

Table II

ANNUAL RATE OF CHANGE IN DEMAND DEPOSIT
BALANCES MINUS ANNUAL RATE OF CHANGE
IN NOMINAL GNP1
Period
1971

Households

IV

1972 I

-

II

-

1973

-

3.07

-

0.99

1.40

-

0.14

0.00

0.99

IV

0.31

0.62

I

6.61

-

1.33

0.63

-

2.72

II

-

III

-

2.23

-

5.36

IV

-

4.56

-

5.63

-

0.43

-

3.45

II

-

2.10

-

3.11

III

-

3.71

-

3.04

-

1.83

-

4.09

-

0.69

-

1.66

0.59

-

1.59

-

3.91

-

6.24

-

5.76

-

6.24

IV
1975 I
II
Ill
IV
1976 I

1978

0.03
7.79

III

1974 I

1977

Nonfinancial
Businesses

- 10.92

-11.38

II

-11.55

-11.68

Ill

-

4.94

-

6.39

IV

-

3.78

-

5.40

I

-

3.99

-

2.67

II

-

4.05

-

4.25

III

-

3.83

-

6.84

IV

-

1.87

-

2.14

2.30

-

5.14
5.29

I
II

-

1.37

-

III

-

1.17

-

0.46

IV

-

5.91

-

6.05

1 Percentage

change from the same quarter

one year

ago.

businesses,
cash management
and short-term
investment services are often used to reduce average demand balances.4
The net effect of such financial
innovations
is to reduce the public’s need for demand
deposit balances.
The combined effects of these economic and institutional factors on demand deposits can be calculated
approximately
using the concept of deposit velocity.
There are two variations of the concept of velocity,
namely income velocity and transactions
velocity.
Income velocity is calculated by dividing the stock of
demand deposits into nominal income, while transactions velocity is proxied by dividing average de4 See [5] for a comprehensive
discussion
of the cash
management
techniques currently available to businesses.
It is clear from reading Garvy and Blyn [7] that corporate cash management
opportunities
have been developing for many years.

FEDERAL RESERVE BANK OF RICHMOND

5

mand deposit balances into total debits against demand deposit accounts for a specified period.
Both
variations measure essentially the same thing, i.e., the
efficiency with which demand deposits are used. An
increase in velocity, for instance, signifies that nominal income and/or
transactions
are increasing faster
than nominal demand deposit balances.
The income
and transactions
velocity of demand
deposits are
highly correlated and have been increasing steadily in
the period since World War II [7].
This upward
trend in velocity likely reflects the increased oppor-

6

ECONOMIC

tunity costs of holding money as well as the increased
availability
of close substitutes
for demand deposits.
Later in this article, the concept of velocity will be
used to interpret
the significance
of differences
between household and business demand deposit and
income growth rates.
Trends
and Cycles
in Demand
Deposits
The
data reviewed in Table I indicated that private demand deposits have grown constantly
over the past
three decades, but that this growth has fallen short of

REVIEW, JULY/AUGUST

1979

the growth in time deposits.
Moreover,
the data
indicated that trend growth has differed for household and nonfinancial
business demand deposit balances.
As mentioned
earlier, real income and the average
price level are two key economic factors explaining
the public’s desired holdings
of demand deposits.
These factors are separate components
of nominal,
or current
dollar income.
The real component
of
nominal income explains real changes in purchasing
power, while the price component
explains changes

The information
in Table II
due simply to inflation.
is intended
to help show the influence
of nominal
income changes on demand deposits.
Table II lists
the difference between the annual rates of change,
measured as the percent change from the same quarterly level one year ago, between (1) household demand deposits and nominal GNP and (2) nonfinancial business
demand
deposits and nominal
GNP.
The period covered is 1971 IV through 1978 IV and
the deposit and nominal GNP data used to compute
the growth rates are seasonally adjusted.
The growth

FEDERAL RESERVE BANK OF RICHMOND

7

rates for nominal GNP and both household and nonfinancial business demand deposits are all positive
over this period.
If demand
deposit
balances
were growing
at
roughly the same rate as nominal income, then the
values of the differences in deposit and nominal GNP
growth rates listed in Table II would all fall around
zero. Clearly, this is not the case. With only several
exceptions, most of which are clustered in the early
1970’s, the differences are negative.
This shows that
both household
and nonfinancial
business
demand
deposit balances have been growing at rates below
those for nominal GNP.
The average shortfall from
nominal GNP growth is 2.71 percentage
points for
household
balances and 3.96 percentage
points for
The implication
of
nonfinancial
business balances.
this information
for liabilities managers is that pro-

8

ECONOMIC

spective changes in nominal income can provide a
guide to the outlook for demand deposits.
Moreover,
the larger shortfall for business balances suggests
that the factors explaining
demand deposit growth
have influenced the business sector differently
than
the household sector.
In view of these differences,
it would be interesting
to examine the behavior of
these two major sectors more closely.
Charts la and lb each plot two series of quarterly
demand deposit growth
rates for households
and
These series
nonfinancial
businesses,
respectively.
are for nominal deposits and real deposits, or nominal
balances deflated by a price index.
In addition,
Chart la shows a plot of the annual growth rate in
real personal income while Chart lb shows a plot of
the growth rate in real business
sales.
The real
income and sales series are assumed
to be good

REVIEW, JULY/AUGUST

1979

proxies for the volume of transactions
entered into
by the household and nonfinancial
business sectors,
respectively.
The price deflator used for households
is the Consumer
Price Index,
and that used for
businesses
is the Producer
Price Index
These
charts are useful for separating
the effects of price
level changes from real factors on public decisions
about the quantity of demand balances held,
Assuming that demand deposits are held to finance
transactions,
the demand for such balances can be
related to the volume of transactions
and the average
price per transaction.
Other things being equal, a
rise in the average price level would require a proportionate
rise in checking balances if a steady volume of real transactions
is to be maintained.
Likewise, an increase in the volume of real transactions
would also require a proportionate
rise in checking
balances held, all other things being equal. Compare
first the nominal demand deposit growth rates with
the real demand deposit growth rates for households
on Chart la and the nominal demand deposit growth
rates with the real demand deposit growth rates for
nonfinancial
businesses
on Chart lb.
The real deposit growth rates are almost always lower than the
nominal growth rates for both households and busi-

nesses. These comparisons
show that inflation is an
important
factor explaining
growth in the public’s
transactions
balances.
To what extent, however, do
changes in real income and transactions
explain
changes in price deflated demand deposit balances?
Compare
now the real demand
deposit growth
rates with the real income growth rates for households on Chart 1a and the real demand
deposit
growth rates with the real sales growth rates for
nonfinancial
businesses on Chart 1b. With only one
exception in the period starting 1973 II, the growth
rates for real personal
income in Chart la exceed
the growth rates for household real demand balances
(the exception is 1978 I).
With only three exceptions in the period starting
1972 III, the growth
rates for real business sales in Chart lb exceed the
growth rates for nonfinancial
business real demand
balances (the exceptions are 1975 I-III).
Thus, it
appears that, since at least mid-1973 in the case of
households and the end of 1972 in the case of nonfinancial businesses,
growth in real demand deposit
balances has been less than growth in the volume of
real transactions.
The amount by which real demand
deposit growth has fallen short of growth in real
transactions,
moreover,
has been substantial.
Since

FEDERAL RESERVE BANK OF RICHMOND

9

Table III

DEMAND DEPOSIT STABILITY AT
SMALL AND LARGE BANKS
DEMAND

DEPOSITS OF HOUSEHOLDS
SER/Mean of
dependent variable

Small bank

.962

.0102

Large bank

.967

.0070

DEMAND DEPOSITS OF NONFINANCIAL

BUSINESSES
SER/Mean of
dependent variable

Small bank

.975

.0081

Large bank

.966

.0042

These results ore for quarterly time series regressions covering
the period 1970 IV through 1978 IV using seasonally adjusted
DDOS data.
The regressions are of the form
1n Y =
where Y =

seasonally

a +

b X,

adjusted demand

deposits and X =

time.

1973 II, household real demand deposit growth has
on average been about 3 percentage points below real
income growth, while since 1972 III nonfinancial
business real demand deposit growth has been on
average about 5 percentage
points below real sales
growth.
These findings imply that demand deposit velocity
has risen since the early 1970’s, or stated another
way that money balances have been used more efficiently.
More efficient use of demand deposits is
consistent with the view that money demand is partly
a function of the opportunity
costs of holding balances
that earn no interest.
In addition, increasing demand
deposit velocity lends support to the idea that the
public has benefited from the availability
of new cash
management
technology.
Differences
by Size of Bank
DDOS
data indicate that at the end of 1978 large banks held $37.8
billion in household
demand deposits, or about 40
percent
of the household
sector’s total holdings.
They also held $75.3 billion in nonfinancial
business
demand deposits, or about 52 percent of the nonfinancial
business
sector’s total holdings.
Large
banks thus account for almost half of the combined
demand balances of households and businesses.
This
section will examine whether or not demand deposit
growth differs by bank size class.
Charts 2a and 2b show annual rates of change for
household and nonfinancial
business nominal demand
deposit balances on a quarterly basis by size of bank.
The pattern of growth rates for large banks appears
to differ from that of small banks, for both household
10

ECONOMIC

and nonfinancial
business deposits, in two respects:
(1) the large bank growth rates are generally lower
than the small bank growth rates and (2) there
appears to be generally less variation
in the growth
rate fluctuations
for large banks.
The average annualized
quarterly
growth rate for household
demand balances is 8.8 percent at small banks versus
6.1 percent at large banks; for nonfinancial
business
demand balances the average rate is 9.2 percent at
small banks and 4.2 percent at large banks.
In both
deposit categories, therefore,
demand balances have
grown substantially
more at small than at large banks
since late 1971. The difference in growth rates is
especially noticeable in nonfinancial
business deposits,
however, the large bank average growth rate being
less than half the small bank growth rate.
The patterns
of the growth rates on Charts 2a
and 2b suggest that there may be a convergence
occurring in the large and small bank series in recent
years.
Since about mid-1974, the large and small
bank series for household sector deposits have moved
more closely together than in the prior period. This
convergence
is also visible on Chart 2b for nonfinancial business deposits, although it does not appear as
strong as in the case of household deposits.
These results support the conclusion
that demand
deposit growth has been stronger
at smaller, compared to larger, banks during the 1970’s. There are
several possible explanations
for the stronger growth
at smaller banks, including
higher income growth
for the customers of smaller institutions,
lower costs
of demand deposit services at smaller banks, and
greater availability
of cash management
services at
the larger banks.
Whatever
the reasons, however,
it appears that managers of smaller banks are beginning to face the lower demand deposit growth rates
already experienced
by larger institutions.
Longer-run
Demand
Deposit
Stability
Inspection of Charts 2a and 2b makes it clear that there is
considerable
cyclical variation
in demand
deposit
growth.
As mentioned above, the pattern of cyclical
variation
does not appear to be the same for the
small compared to large bank groups.
The significance of cyclical instability
for household and business demand deposits will be examined here for both
small and large commercial
banks.
One way to focus on the longer-run
cyclical variation in demand deposits is to examine the deviations
of seasonally
adjusted
demand deposits from their
underlying
trend.
To accomplish
this, the series
being examined must first be seasonally adjusted to
eliminate
recurring
short-run
influences
that are
possible sources of variation.
Then a long-run trend

REVIEW, JULY/AUGUST

1979

can be computed by relating the movements
in the
seasonally
adjusted
series to time.
The trend is
obtained from a regression ‘equation with the relevant deposit series as the dependent
variable
and
time as the sole explanatory
variable.
The residuals
resulting from such a regression
represent the cyclical movements
in the series. Measures of such variation are presented in Table III for quarterly household and nonfinancial
business demand deposit series
of both small and large banks covering the eight-year
period 1970 IV to 1978 IV.
The first column
of determination,
for regression

III

adjusted
equations

terly seasonally
pendent

in Table

variable

for degrees
that

adjusted

gives the coefficient

demand

and time

of freedom,

have the log of quardeposits

as the de-

as the sole independent,

or explanatory
variable.
These coefficients
are all
quite high, indicating in each case that over 96 percent of the variation
This result

mary component
sured
centage

in the series

is not unexpected,
of many

in stock form.

is trend-related.

since trend

financial

Nevertheless,

of the variation

is the pri-

time series

in demand

mea-

the small
deposits

per-

not ex-

plained by trend, or roughly 4 percent, represents
a
significant
amount
of dollar variation,
especially
when viewed
The

degree

over shorter
of cyclical

series can be measured
called the standard
Like a standard
dence

interval

variation

using

error

deviation,
measured

time periods.
in the

the regression

deposit
statistic

of the regression

(SER).

the SER provides

a confi-

in the

same

units

as the

series being analyzed.
One SER, for example, represents the zone around the regression
line (in this
case, the trend line) within which roughly two-thirds
of all deviations are expected to fall. Although the
four series considered in Table III are all measured
in dollars, their SER’s cannot be used to directly
compare the relative degree of variation of household
and nonfinancial
business demand deposits at small
and large banks.
This is the case inasmuch as each
series is of different absolute size: in 1978 IV seasonally adjusted household demand deposits at small
banks totaled $58.1 billion versus $37.8 billion at
large banks, while seasonally
adjusted
nonfinancial
business demand deposits totaled $70.9 billion versus
$75.3 billion at large banks.
Other things equal, the
dollar deviation
around
a higher demand
deposit
series is expected to be greater than the dollar deviSize
ation around a lower demand deposit series.
differences must be taken into account when evaluating the relative degree of stability among the four
demand deposit series in Table III.

To adjust
demand

for differences

deposits

by its mean

series,

the SER

for each is divided

The

resulting

may be called standardized

SER’s,

the second
express

value.

in the levels of the four

column

the SER

of Table

III.

of each series.

The standardized

can be directly

compared

holds and businesses
The
stability

figures

These

as a percentage

tive degree of variation

which
in

numbers

of the mean value
SER’s

in Table III

to gain an idea of the relain demand

held in small

in Table

of household

numbers,

are presented

III

demand

less than the cyclical stability

show

deposits

of house-

and large
that

deposits

banks.

the cyclical

is considerably

of nonfinancial

business

demand
deposits.
For small banks, the SER is
greater than 1 percent of the mean of the household
demand deposits series versus 0.81 percent for nonfinancial
business
demand deposits:
this indicates
about 25 percent more variation
in household balances than in business balances at small banks. Likewise, the SER is equal to 0.70 percent of the mean of
the household demand deposit series for large banks
versus 0.42 percent for nonfinancial
business balances; this indicates about 66 percent more variation
in household balances than in business balances at
large banks.
At both small and large banks, therefore, nonfinancial
business
demand
deposits offer
considerably
more cyclical stability than do household demand deposits.
Further examination
of the standardized
SER’s in
Table III provides another interesting
comparison,
namely that between
demand
deposit stability
at
small versus large banks.
Recall the discussion
of
differences in demand deposit growth by size of bank
centering
around Charts 2a and 2b. It was shown
that the average annualized
quarterly
growth rates
for both household and nonfinancial
business demand
balances were significantly
greater at small compared
to large banks.
Moreover,
the pattern
of growth
rates plotted on Charts 2a and 2b make it appear
that there is less variation in growth rate fluctuations
for large banks.
This latter point is confirmed
in
Table III.
The cyclical variation
in household demand deposits is about 45 percent less at large compared to small banks
(0.70 percent
versus
1.02
percent) and over 90 percent less in the case of nonfinancial
business
demand
deposits
(0.42 percent
versus 0.81 percent).
Short-run
Demand
Deposit
Stability
While
cyclical forces are a significant
source of longer-run
variation
in demand
deposits,
seasonal forces are
responsible for considerable
short-run variation.
The
influence of seasonality
on the short-run
stability of

FEDERAL RESERVE BANK OF RICHMOND

11

household and nonfinancial
business demand
held at large banks will be examined
here.5

deposits

The money holdings of the public are subject to
significant
changes on a seasonal basis.
Although
both demand deposit and currency holdings are subject to such short-run
variation,
seasonality
is concentrated in the deposit part of total money holdings.
Based on examination
of the demand deposit component of M1, it would appear that April, December,
and January,
but especially the latter two months,
are periods of peak seasonal demand for checking
deposit balances,
with offsetting
seasonal weakness
distributed
over the rest of the year [9].
Seasonal
variations in the demand for checking balances, however, are not identical for households and businesses.

usually large at these times.
The January
peak is
over 2 percentage
points above and the April peak
over 5 percentage
points above the yearly average
level of demand deposits.
These seasonal peaks are
explained by what has been termed the “Christmas
cycle,” which reflects the rising demand for transactions balances associated with increased spending
during the holiday season, and by tax payments of
individuals
in April [2]. June, July, and December
are months of moderate positive seasonality.
February has a substantially
negative seasonal factor, while
the months of March, May, and August
through
November
have moderately
negative factors.

Charts 3a and 3b depict, respectively,
the monthly
seasonal factors for household and nonfinancial
business demand deposits of large banks.
Two sets of
factors, one for 1971 and another for 1978, are plotted
in each of the charts.
Looking first at Chart 3a for
household balances, it can be seen that January
and
especially
April are months of substantial
positive
seasonality,
i.e., household demand deposits are un-

Chart 3b shows that the seasonal demand for deposit balances
by businesses
centers
around
the
Christmas
season.
Seasonal demands are depressed
or roughly neutral throughout
most of the year, with
a seasonal surge beginning in October and peaking in
December.
The December peak for large banks is
nearly 6 percentage points above the yearly average
level of demand.
This declines to about 2 percentage
points above average in January before subsequently
falling below average in February.6

5 Monthly
seasonal factors cannot be computed
for all
commercial
banks since only quarterly data are available
for this group.

6 Note that the Christmas
seasonal peak in demand deposits occurs in January for households
but December
for businesses.
The increased business activity associated

12

ECONOMIC

REVIEW, JULY/AUGUST

1979

Comparison
of the 1971 and 1978 factors reflects
a remarkable
degree of stability in the seasonal patterns of both household and business demand deposits
over the seven-year
period.
The only case of a shift
in the direction of the seasonal is in June for households, where the change is from slightly negative to
moderately
positive
seasonality.
This stability
in
seasonal patterns
over time means that short-run
changes in demand deposits due to seasonal influences are largely predictable, thus considerably
easing
the task of adjusting
to such variations
in demand
deposits.
A comparison
of the large bank 1978 monthly
factors in Charts 3a and 3b suggests that the seasonal
patterns
exhibited
by household
and nonfinancial
business demand deposit balances are somewhat offFor instance,
the year-end
factors lying
setting.
above 100.0 for businesses are offset by lower values
for households, and the converse appears true in the
second quarter.
This implies that the mix of an individual bank’s private demand deposits between households and nonfinancial
businesses
can also influence
short-run balance sheet stability.7 The significance of
the demand deposit mix for short-run
balance sheet
stability can be evaluated by comparing the standard
deviation for several different balance sheet combinations of household and business demand deposits.
Assume

for a moment

that a bank has all houseIn this extreme case, the
hold demand deposits.
standard deviation of the monthly seasonal factors in
Chart 3a around the neutral value would be 2.08
percent.
At the opposite extreme where a bank has
all business demand deposits, the standard deviation
of the monthly seasonal factors in Chart 3b for nonfinancial
business
deposits would be 2.45 percent.
Now assume that a bank has an equal mix of demand
deposits, half household and half nonfinancial
business. The seasonal factors for each category of deposits have equal weight on the balance sheet, and
they can be averaged across months to get monthly
average factors for the equally weighted mix of de-

posits.

In this case,

weighted

average

a significant
discussed
ation

reduction

above.

is important

the standard

Thus,

from

deposits

the two extreme

7 A special 1968 survey of demand
deposit
ownership
conducted
by the FDIC
showed
that there is great
diversity in the deposit mix by state [10]. The proportion of IPC demand deposits held by businesses
ranged
from a high of 73 percent in New York to a low of 33
percent in Idaho and North Dakota.
The all bank average was 59 percent.

cases

deposits

the total seasonal
that a bank

vari-

will face.8

The demand deposit mix which minimizes
total
seasonal variation can be determined
using the formula for calculating
the variance of a linear combination of random variables
[8, p. 168].
Applying
this method to monthly
seasonal factors for 1978
shows that a combination
of 59 percent household balances and 41 percent business balances would minimize total seasonal variation
in demand deposits.
Using all the monthly seasonal factors for the years
1971 through. 1978 gives results that are very close
to those based only on 1978 data, namely, a combination of 62 percent household balances and 38 percent
The closeness
of the results
business
balances.9
reflects the relatively unchanging
pattern of seasonThe actual not seasonally adality over the period.
justed large bank demand deposit mix as of December 1978 was 32.6 percent household and 67.4 percent business.
8 As noted earlier, the mix between household and business demand deposits has changed significantly
over the
past three decades, with the household
share growing
steadily.
Since the seasonal behavior of household and
business balances varies greatly, the changing composition of total private demand deposits
is probably
an
important
factor helping explain shifts in the seasonal
pattern] of M1 described in [9].
9 The variance in total demand deposits
fluences,
is given by the formula:

due to seasonal

in-

where
is the correlation coefficient of the monthly seasonal factors for household and business demand deposits.
kH and kB arc weights showing the respective proportions of
household and business demand deposits to total demand
deposits. Since there is a constraint that kH + kB = 1, (1)
can be expressed as

Setting the first derivative
with the holiday starts several months before December,
as firms place orders and accumulate inventories,
giving
Firms
rise to greater
demand for payments
balances.
rapidly reduce their demand deposit balances once the
holiday activity tapers off.
Households
apparently
pay
for a large share. of Christmas
purchases
on a delayed
basis, causing
their demand deposit balances to peak in
January

of the

1.72 percent,

the mix of demand

in determining

in demand

deviation

seasonal factors equals

equal to zero

and solving for kH gives

The second order condition for a minimum holds if the second
derivative

is positive, where

Following this procedure using monthly seasonal factors
for 1978 gives
= .12, kH = .59, and a positive value for
equation (4). Using all the monthly seasonal factors for the
years 1971 through 1978 gives
= .15, kH = .62, and a
positive value for equation (4).

FEDERAL RESERVE BANK OF RICHMOND

13

CONCLUSIONS

classification influences the overall degree of seasonal
variation
in a commercial
bank’s demand deposits.

Although
steadily declining in importance
on the
commercial banking
system’s balance sheet since at
least 1950, demand deposits nonetheless
remain an
important
source of funds.
In fact, privately owned
demand deposits in 1978 equaled over 30 percent of
total deposits net of interbank
balances.
The two
most important
suppliers of demand deposits to commercial banks are households and nonfinancial
busiHouseholds
owned 33.2 percent of total
nesses.
private demand balances, or about $93 billion in 1978,
while nonfinancial
businesses owned 49.2 percent, or
about $138 billion.
This article examines the time
series behavior
of these two ownership
categories
using the Federal Reserve’s Demand Deposit Ownership Survey.
Inflation is an important
factor causing the public
to hold increasingly
larger transactions,
or demand
deposit balances.
When nominal
demand deposits
are deflated by the price level to get real balances,
however, it is found that the growth rates of real
demand deposit balances of both households and nonfinancial businesses
have been less than the growth
rates of real income since at least the early 1970’s.
Since the second quarter of 1973, growth in household real demand deposits has on average been about
3 percentage
points below growth in real income.
Since the third quarter of 1972, growth in nonfinancial business
real demand deposits has on average
been about 5 percentage points below growth in real
sales.
Thus, both households
and businesses
have
economized
on their holdings of cash balances to a
significant
extent, although businesses have done so
more than have households.
The longer-run
mand

deposits

mand

deposit

at smaller

trend

and cyclical

is not constant
growth

compared

behavior

of de-

by size of bank.

has been
to larger

considerably
banks

De-

greater

at larger

Seasonal

compared

influences

lead

to smaller

banks.

to significant

short-run

variation
in demand deposit balances.
Comparison
of seasonal factors for the years 1971 and 1978, however, shows that changes over this period have been
minor.
Consequently,
the seasonal influences affecting short-run
variation
in both household and nonfinancial
business
demand deposits are to a large
degree predictable.
The seasonal patterns exhibited
by the demand deposit balances of households
and
nonfinancial
businesses
are
partially
offsetting.
Therefore, the mix of demand balances by ownership
14

ECONOMIC

findings

and

should

financial

help bank

analysts

of short-

and long-run

demand

deposits.

Perhaps

eral conclusion
is that there
havior
This

are striking

points

contrasts

out the importance

deposits

held by households

separate

sources

Moreover,

purposes.
lowing

a

from

between

disaggregated

demand

and businesses

approach

the bebalances.

of treating

the information

gen-

the analysis

demand

for liabilities

the

in private

the most interesting

and business

of funds

man-

understand

variation

that can be drawn

of household

liabilities

better

patterns

as two

management
gained
to

by fol-

explaining

changes in demand deposits should lead to a better
understanding
of money stock movements.

References
1.

Broaddus,
Alfred.
“Automatic
Transfers
from
Savings to Checking:
Perspective
and Prospects.”
Economic Review, Federal
Reserve
Bank of Richmond (November/December
1978), pp. 3-13.

2. Broaddus,
Alfred
and Cook, Timothy
Q. “Some
Factors
Affecting
Short-Run
Growth Rates of the
Economic Review, Federal
ReMoney Supply.”
serve
Bank of Richmond
(November/December
1977), pp. 2-18.
3. Cook, Timothy
Q.
“The Impact
of Large Time
Deposits
on the Growth
Rate of M2.” Economic
Review,
Federal
Reserve
Bank
of Richmond
(March/April
1978), pp. 17-20.
4.

“Regulation
Q and the Behavior
of
Savings
and Small Time Deposits
at Commercial
Banks and the Thrift Institutions.”
Economic Review, Federal Reserve Bank of Richmond
(November/December
1978), pp. 14-28.

5. Donoghue,
William
E.
The Cash Management
Manual. Holliston,
Massachusetts
: Cash Management Institute,
1977.
6.

for both house-

hold and nonfinancial
business balances.
The cyclical
stability of demand balances, however, is considerably
greater

These
agers

Farr,
Helen T., Porter,
Richard
D. and Pruitt,
Eleanor M. “Demand Deposit Ownership
Survey,”
in Improving the Monetary Aggregates:
Staff
Papers.
Washington,
D. C.: Board of Governors
of the Federal
Reserve
System, November
1978.

7. Garvy, George and Blyn, Martin R. The Velocity
of Money.
Federal
Reserve
Bank of New York,
October 1969.
8. Hogg, Robert V. and Craig, Allen T. Introduction
to Mathematical Statistics. 3rd edition. New York:
The Macmillan
Company,
1970.
9.

Lawler, Thomas A. “Seasonal
Adjustment
of the
Money Stock:
Problems
and Policy Implications.”
Economic Review, Federal
Reserve
Bank of Richmond (November/December
1977), pp. 19-27.

10.

Mitchell, Mary T. Business Holdings of Demand
Deposits in Insured Commercial
Banks, June 1968.
Federal
Deposit
Insurance
Corporation,
August,
1970.

11.

“Survey
Reserve

REVIEW, JULY/AUGUST

of Demand Deposit Ownership.”
Bulletin (June 1971), pp. 456-67.

1979

Federal

MONEY MARKET MUTUAL FUNDS:
A Reaction To Government Regulations Or
A Lasting Financial Innovation?
Timothy Q. Cook and Jeremy G. Duffield

One of the most remarkable changes in the nation’s
financial system in recent years has been the rapid
growth of money market mutual funds (MMFs).
These funds are open-end investment
companies that
invest only in short-term
money market instruments.
Although
the first MMF started offering shares to
the public in 1972, prior to 1974 there were only a
couple of MMFs.
The establishment
of many new
MMFs followed the very high money market rates
in 1974 and by the end of 1975 there were roughly
35 MMFs in existence with assets totaling just under
$4 billion.
The level of MMF assets remained in a
range of $3 to $4 billion until late 1977. At that time,
interest
rates began to rise and aggregate
MMF
assets increased sharply. When short-term rates continued to rise in 1978, MMF growth accelerated and
in the first five months of 1979 outstanding
shares
grew by more than $2 billion a month. As shown in
Chart 1, the rapid growth in MMF shares was accompanied
by equally rapid growth in shareholder
accounts, to a level of about 1 million in May 1979.l

in which case payment by the MMF is either mailed
to the investor or remitted by wire to the investor’s
bank account.
The purpose of this article is to examine the reasons underlying
the explosive
growth
of MMFs.
There are two explanations
for this growth, both
stressing a different broad function served by MMFs.
The first explanation
is that MMFs are primarily
a means for providing access to money market yields.
According to this view, government
regulations
and
minimum purchase requirements
in the money market have significantly
limited the ability of some investors to realize market yields on short-term
inMMFs provide such investors
an opvestments.

The general operating characteristics
of MMFs are
fairly standard, although there are some differences.
Investors purchase and redeem MMF shares without
paying a sales charge.
Expenses of the funds are
Minimum initial
deducted daily from gross income.
investments
for most funds vary from $500 to $5,000,
although a very small number of funds require no
minimum
and others, designed for institutional
investors only, require minimums of $50,000 or more.
The yield paid to the shareholder of a MMF depends
primarily
on the yields of the securities held by the
fund but is also dependent
on the expenses of the
Most funds have a
fund and its accounting policies.
checking option that enables shareholders
to write
checks of $500 or more.
Shares can also be redeemed at most MMFs by telephone or wire request,
1 The shareholder
accounts data are somewhat difficult to
interpret
because MMFs differ in how they report accounts of bank trust departments
and other institutional
investors.
In some cases a bank trust department
is
treated as one account.
In other cases each of the accounts
of the bank trust department
are treated
as
separate accounts.
FEDERAL RESERVE BANK OF RICHMOND

15

portunity
to bypass these obstacles and earn a rate
of return close to the yield of money market instruments.
To the extent that this explanation
is valid,
one can argue that changes in certain government
regulations
would largely eliminate
the appeal of
MMFs.
The second explanation
for the growth of MMFs
is that they fill a vacuum in the financial
system,
which previously lacked an intermediary
specializing
exclusively
in short-term
assets and liabilities.
According to this view, the growth in MMFs represents a permanent
change in the way many institutional and individual investors manage their liquid
This change has occurred because MMFs
assets.
offer these investors the advantages that result from
the pooling of large amounts of short-term
funds.2
Briefly, the possible advantages
are:
Economies of Scale By pooling the funds of many
investors, the MMF may experience
lower administrative and operating costs per dollar of assets than
the investors
themselves
could achieve.
Consequently, a MMF may be able to offer some investors
a higher rate of return net of expenses than is available to them through
direct investment
in money
market instruments.
Liquidity and Divisibility Money fund shares can
be purchased and sold on any business day without
a sales charge.
Also, because of the short-term
nature of the money market instruments
purchased by
MMFs, the investor faces a relatively
small probability of loss of principal due to interest rate fluctations.
Consequently,
a purchase
of money
fund
shares represents
a highly liquid investment.
The
checking option offered by most MMFs further enhances the liquidity of this investment.
MMFs are
able to offer such liquidity because of the relatively
large size of their portfolios, which allows them to
schedule maturities
so that they usually can meet redemption requests without selling securities prior to
In addition,
after satisfying
the initial
maturity.
minimum
investment
requirement,
additions
to and
withdrawals
from MMFs can generally be made in
very small amounts.
By contrast,
a direct investment in money market instruments
lacks this divisibility.
Diversification
The MMF
diversifies
its portfolio by purchasing
instruments
of a wide variety of
issuers.
This might expose investors
in the fund
to lower levels of risk than if they invested
their
funds directly in the money market.
2 The functions of financial
in Van Horne [13].
16

intermediaries

are discussed

ECONOMIC

Of course, these two explanations
for the growth
of MMFs are not mutually exclusive.
In fact, the
central conclusion
of this article is that the growth
of MMFs has been due to both (1) their ability to
provide access to the money market to those previously excluded and (2) the advantages
they offer
some investors as an alternative
to direct investment
in the money market.
This conclusion
is based on
a discussion, presented in Section I of this paper, of
the factors influencing
the participation
in MMFs by
the three major categories of MMF investors, and on
estimates, presented in Section III, of the sources of
MMF growth.
Section II discusses the determinants
of the yields paid by MMFs to shareowners.
I.
This

MONEY MARKET
section

the attractiveness
gories of MMF
in the order

discusses

the factors

of MMFs
investors.

of their

FUND INVESTORS
contributing

for the three major

to
cate-

The sectors are discussed

importance

as MMF

investors

as of the end of 1978. The two major categories of
MMF investors
are individuals
and bank trust departments.
The third most important
investor category is corporations,
although
this sector holds a
much smaller proportion
of total MMF shares than
individuals
and bank trust departments.
This ordering- (1)
individuals,
(2) bank trust departments,
and (3) corporations-is
also the order of the relative
importance
of access to money market yields as an
explanation
for the use of MMFs by these investors.
That is, this explanation
appears to be an important
one underlying
the use of MMFs by individuals.
The access explanation
applies to a lesser extent to
bank trust departments
and appears to be of negligible importance as an explanation
for corporate use of
MMFs.
For these investors, and also for those individuals who do have access to the money market,
the other advantages
offered by the MMF as a financial intermediary
for short-term
funds appear to
provide
the primary
explanation
for the use of
MMFs.
Individuals The
role of MMFs in providing
access to money market yields is the most prevalent explanation for the use of MMFs by individuals.
According to this explanation,
the small individual
investor has been unable to earn market yields because of minimum
purchase
requirements
in the
money market and because regulations
limit the rate
that can be paid on time and savings deposits at depository institutions.
MMFs are attractive to small
savers because they provide a means to circumvent
these obstacles.

REVIEW, JULY/AUGUST

1979

Purchases of money market instruments
other than
Treasury
bills usually
require
investmentsof at
least $25,000 and more often $100,000 or more.
Furthermore,
since 1969, purchases of Treasury bills
have required
a minimum
investment
of $10,000.
In June 1978 banks and thrift institutions
were authorized to issue 6-month
“money market certificates” with maximum
issuing
rates tied to the
average 6-month
Treasury
bill discount rate established at the weekly Treasury
bill auctions.
These
certificates,
however, carry the same minimum
investment of $10,000 as Treasury bills. Consequently,
the only short-term
investment
option facing the investor with less than $10,000 has been to deposit
his funds in small time and savings deposits at the
The rates paid on these dedeposit institutions3.
posits are subject to ceilings established under ReguQ of the Federal Reserve Act.
In recent years most banks and thrifts have offered the maximum
rates allowed by Regulation
Q.
Consequently,
the spread between
money market
rates and Regulation
Q ceiling rates is an indicator
of the cost of limited access to the money market encountered by savers with less than $10,000 of shortterm funds.
Chart 2 shows the differentials
between
the 3-month Treasury bill rate and the Regulation
Q
passbook savings ceiling rate at thrift institutions
(RTB-RPS)
and between the 3-month certificate of
deposit rate and the thrift passbook rate (RCDRPS).
The difference between the two lines is the
differential
between the 3-month CD and Treasury
bill rates.
As shown in Chart 2, for much of the past decade
money market interest rates have been significantly
higher than the savings deposit ceiling rate.
The
magnitude of the spread between the 3-month Treasury bill rate and the savings deposit rate in such
periods as 1973-74 and 1978-79 illustrates
the disadvantage
suffered in periods of high interest rates
by individuals
with less than $10,000 to invest.
For
these individuals
MMFs are attractive because they
provide the only access to going money market
yields.
Even for individuals
to invest in Treasury

possessing the $10,000 needed
bills or money market certifi-

3 Actually, there are two minor exceptions
to this stateFirst. as of July 1979, small savers have been
ment.
allowed to pool their funds
to meet the $10,000 minimum
necessary to purchase money market certificates.
Second,
long-term
U. S. government
securities are issued in denominations
of less than $10,000.
As these securities
approach
maturity
they effectively
become short-term
investments.
Transactions
costs, however, substantially
reduce the yield of such an investment
to the small
investor.

cates, there may be circumstances
under
which
limited access to the yields of other types of money
market instruments
influences
their decision to use
Chart 2 shows that in past periods of high
MMFs.
interest rates, Treasury
bill rates have often been
well below other money market rates.
For instance,
the spread between the quarterly
average 3-month
CD and Treasury
bill rates reached levels of 350
basis points in mid-1974 and in 1978 was as high as
150 basis points.
In periods of rising spreads between the rates of other money market instruments
such as CDs and commercial
paper and the rate on
Treasury bills, the yields paid by many money market
funds will rise relative to the yield on bills. In these
circumstances
individuals
holding
bills or money
market certificates may use MMFs to gain access to
yields on money market instruments
other than bills.4
While the role of MMFs in providing small savers
access to money market yields has undoubtedly
been
4 This assumes that the rise in the spread between CD
and Treasury bill yields was not solely due to an increase
in default risk. This argument
is made by Cook [6].

FEDERAL RESERVE BANK OF RICHMOND

17

an important factor contributing
to the use of MMFs
by individuals,
evidence on average size of individual
MMF accounts, presented
later in the paper, indicates that many individuals
who have sufficient funds
to invest directly in money market instruments,
or at
least in Treasury
bills, are also using MMFs.
For
these individuals
the benefits of financial intermediation, not access, provide the key attraction of MMFs.
This is an important
distinction
because it implies
that even in the absence of Regulation
Q ceilings at
the deposit institutions,
individual
use of MMFs
would continue.
Two uses of MMFs by individuals
deserve special
attention
because they represent
innovations
in the
management
of liquid assets. The first innovation
is
the large-scale use of MMFs by stockbrokers
for the
purposes of investing
their clients’ balances.
Many
large brokerage
firms have established
their own
MMFs.
Most of these are open to the general public
but are used mainly by the brokers of the firm as a
liquid parking place for investors’ funds that become
available
after a sale of stock shares, bonds, etc.
Many brokers unaffiliated
with a MMF use MMFs
for the same purpose.
Previously
after a sale of securities, an investor’s
funds would either have remained uninvested,
been placed in a savings account
or a relatively
low-yielding
account offered by the
broker, or been invested directly in a money market
instrument
if the amount of funds made this posThe increased liquidity and divisibility MMFs
sible.
provide relative to direct money market investment
are probably especially important
to this type of investor.
Consequently,
as a competitive
measure,
many brokers are using MMFs to ensure that their
investors remain fully invested at market rates.
The second innovation
is the use of exchange
privileges between MMFs and other funds in a mutual fund group.
These arrangements
allow MMF
investors to exchange their MMF shares for shares
in any of the other mutual funds in the group, at that
fund’s share price, plus a sales charge if it is a load
fund.
Also, shareholders
in any of the other funds
can exchange their shares for the MMF shares. The
exchange
privilege
offers individual
investors
the
benefit of added flexibility
in their investment
decisions, allowing them to move in or out of differing
types of mutual funds with little or no transactions
Just under half of the mutual fund groups
costs.
whose share prices are listed in the Wall Street
Journal have established MMFs.
Bank Trust Departments
The second important
user of money market funds is bank trust departments.
Trust departments
serve as fiduciaries
for
18

ECONOMIC

numerous
types of accounts which can broadly be
divided. into two groups : (1) personal trusts and
estates and (2) employee benefit accounts.
If funds
from these accounts were invested separately, many
of the potential advantages of intermediation,
such as
diversification
and
reduced
administrative
costs,
would be lacking.
Furthermore,
individual accounts
of the bank trust department
can have the same kind
of limited access problem
faced by individual
investors.
Some of these accounts
have less than
$10,000 in short-term
assets. Consequently,
the only
available short-term
investment
is time and savings
deposits which, as shown above, has frequently paid
rates well below money market rates.
In order to gain the advantages
of intermediation,
trust departments
can establish
“collective
investment funds” under Regulation
9 of the Comptroller
Collective
investment
funds for
of the Currency.
accounts of personal
trusts and estates are called
“common trust funds.”
Collective investment
funds
pool monies from different accounts of the trust department and invest them collectively.
Two types of
collective investment
funds have developed for the
investment
of short-term
funds.
The first type to
evolve was the “variable amount note” (also called a
“master note”), which is a revolving loan agreement,
generally
without
a specified maturity,
negotiated
Monies from various
with a business
borrower.”
accounts in the trust department
can be put into the
variable amount note and withdrawn
from it without
fees as the need arises.
The rate paid by the borrower of the variable amount note is most commonly
the “180 day commercial
paper rate placed directly
by major finance companies”
posted in the Wall
Street Journal.6
While the variable amount note is widely used by
bank trust departments,
it has some limitations.
First, the participating
accounts
gain little in the
way of diversification.
Second, the agreement with
the borrower typically specifies maximum and minimum limits between which the size of the variable
amount note must vary. These limitations reduce the
liquidity of a variable amount note investment
and
may necessitate
agreements
with several borrowers,
each of which requires a separate plan, thereby increasing administrative
expenses.
As a result of the weaknesses
of the variable
amount note, a second type of collective investment
funds for short-term
investments,
called a “short5 The variable amount note is a type of collective investment fund established under Regulation 9.18(c)(2)(ii) of
the Comptroller of the Currency.
6 See [1], p. 25.

REVIEW, JULY/AUGUST

1979

term investment
fund (STIF),”
has grown in usage
by bank trust departments,
STIFs
are essentially
MMFs operated by the bank trust departments
for
their own accounts.
The STIF
pools funds from
individual
accounts of the trust department
and invests those funds in a variety of short-term
money
market instruments.
Almost all STIFs fall into
The first group is for accounts
estates.

These

9.18(a)(1)
ceive

STIFs,

operated

of the Comptroller

tax-exempt

status

income

earned

by the fund

pating

accounts.

the

interest

exceeding
The

Regulation

second
is for

stock

the

bonus,

the

STIFs

that

to partici-

are also limited
can

have

of the value

of STIF,
of the

and

by
an

of the

operated

Comptroller

accounts
thrift,

re-

condition

is distributed

no participant

type

Regulation

of the Currency,

10 percent

9.18(a)(2)

Currency,
sharing,

that

under

under

These

requirement

fund.

two broad categories.
of personal trusts and

under
of the

of pension,

profit

self-employed

re-

tirement plans that are exempt from taxation under
the Internal Revenue Code. Because the contributing
accounts are themselves tax-exempt,
the second type
of STIF does not have to distribute
income to the
participating
accounts in order to acquire tax-exempt
status.
In addition, this type of STIF. is not subject
to the requirement
that no participant’s
interest exceeds 10 percent.
Under IRS regulations,
monies of
personal trust and estate accounts and “tax-exempt”
accounts cannot be mixed.
Hence, if a bank trust
department
wishes to provide STIF services to both
types of accounts, it must establish both a 9.18(a)(1)
STIF and a 9.18(a)(2)
STIF.
Unlike
all other types of collective
investment
funds, which have to value their assets on a current
market basis, STIFs
are permitted
to value their
assets on a cost basis and use the “straight-line
accrual” method for calculating
income of the trust.
Under this method the difference between cost and
anticipated
redemption
value at maturity
is accrued
in a straight-line
basis. This accounting procedure is
generally
preferred
by trust departments
because it
smooths out the flow of income to participating
accounts.
(An expanded
discussion
of straight-line
accrual versus market valuation accounting
methods
is given in the Box)
In granting this exemption to
STIFs, the Comptroller of the Currency has imposed
fairly strict restrictions
on the portfolios of STIFs.
They are:
1. 80 percent of investments
must be payable
demand or have a maturity
not exceeding
days,

on
91

2.

assets
under

of the fund must
usual circumstances,

be held to maturity

3.

not less than 40 percent of the value of assets
of the fund must be composed of cash, demand
obligations,
and assets that mature
on the
fund’s next business day.7

If bank trust departments
have the option of operating a STIF,
why do so many use money market
funds?
There are two possible answers to this question.
The first is that restrictive
regulations
on
STIFs induce bank trust departments
to use MMFs,
at least for some of their accounts.
STIFs
are
affected by both Comptroller
of the Currency regulations and various state regulations.
As explained
above, the Comptroller
of the Currency’s regulations
impose fairly stringent
conditions
on the portfolios
of STIFs.
In addition,
regulations
require that
separate funds be established for accounts of personal
trusts and estates and for employee benefit plans.
Furthermore,
under Comptroller
of the Currency
regulations,
agency accounts of personal trusts and
estates are not permitted to invest in common trust
funds.
Agency accounts
are those for which the
owner retains title to the property and only delegates
to the bank trust department
certain responsibilities.
The state regulation
most seriously affecting the
establishment
of STIFs
was a New York law that
imposed heavy reporting requirements
on STIFs for
personal trust and estate accounts.8
As a result of
these requirements,
almost no 9.18(a)(1)
STIFs
have been established in New York. Since at the end
of 1977 New York bank trust departments
had 29.3
percent of all trust department
assets, this regulation
probably directed a significant
amount of money to
MMFs that otherwise might have gone into STIFs.
The heavy reporting
requirements
on STIFs
were
eliminated by a revision in the New York law passed
in mid-1979.

7 The aggregate portfolio

of STIFs appears to reflect the
Comptroller
of the Currency’s regulations.
In a survey
of collective
investment
funds at the end of 1978 conducted by the Comptroller
of the Currency, 24 percent of
total STIF assets was variable amount notes (“master
notes”), 56.9 percent was commercial
paper, 4.3 percent
was U. S. Treasury and agency securities, and .8 percent
was cash. The remaining 14 percent was mostly time and
savings deposits, although a small. part was bankers’ acceptances
and repurchase
agreements.
(Because of the
way the data were collected, it was not possible to separate CDs from other time and savings deposits.)
8 The New York law required a periodic accounting from
common trust funds for personal
trust and estate accounts before the surrogate
court.
This accounting
required a record of all transactions
of the fund.
cause of the volume of transactions
of a STIF,
this
required accounting
discouraged
N. Y. banks from establishing 9.18(a)(l)
STIFs.

FEDERAL RESERVE BANK OF RICHMOND

19

Box

MMF ASSET VALUATION

There are two commonly used methods of valuing a
MMF’s portfolio
of assets and of calculating
yields:
the mark-to-market
and
the amortized
cost
or
straight-line
accrual methods.
The issue of the most
appropriate
method
has been hotly debated.
The
following paragraphs
describe the various accounting
techniques and then explain the arguments
in the controversy over which method is more appropriate
for
MMFs.
The most important
distinction
between
the accounting policies of MMFs is in the method used to
determine
the asset value of the investment
portfolio.
Marking-to-market,
as its name implies, involves appraising
portfolio
assets at their estimated
market
value.
In the case of securities
for which active
secondary
markets
exist, this means valuing the security at its most recent bid price, or alternatively,
at
the mean of the most recent bid and asked prices.
Securities which are not actively traded, such as commercial
paper, are generally
valued by comparison
with marketable
securities of similar type, yield, quality, and time to maturity.
In contrast to mark-to-market,
amortized
cost valuation does not allow changes in market interest rates
to affect the value of the MMF’s
portfolio.
The
amortized
cost method establishes
the cost of a security on the date of purchase (or sometimes
the market value on a date after purchase)
as its “fair value.”
The difference
between
the security’s
cost and its
redemption
value at maturity
is accrued daily on a
straight-line
basis as an increase in the value of the
asset.
Under
both mark-to-market
and amortized
cost
methods of valuation,
“net asset value” of a fund is
the calculated
asset value of the portfolio minus the
“income” earned that day.
The fund’s net income,
income minus expenses,
is credited
to shareholders’
accounts daily and usually paid monthly.
The MMF’s
share price is the net asset value divided by the
number of shares outstanding.
The amortized
cost valuation
method
leads to a
constant
share price because each security’s value is
“locked in” on the purchase date and the straight-line
increase in its value (the income earned on the security)
is credited
as dividends,
after expenses
are
deducted, to shareholders
daily.
The net asset value
per share could change only if the MMF found it
necessary to sell a security at a price different from its
asset value determined
by amortized
cost or if the issuer of one of the securities in the portfolio defaulted.
Among
MMFs
that value by marking-to-market
there is considerable
variation in the method of determining share price. There are three methods:
maintain
a constant
share price,
(1) Many MMFs
usually
$1.00, allowing
the number
of shares
owned by each shareholder
to vary.
Interest income and capital appreciation
(realized
or unrealized)
net of expenses
accrue
daily to the
shareholder
in the form of additional
shares.
If
the MMF’s expenses and capital depreciation
are
greater
than its interest
income that day, each

20

ECONOMIC

AND YIELD DETERMINATION

investor’s shares will be correspondingly
reduced.
(2) Another group of MMFs ordinarily
maintains
a
constant share price, but reflects increases in portfolio value by increasing
dividends.
Similarly, a
depreciating
portfolio is-reflected
in reduced dividends.
In the event that unrealized
and realized
capital losses plus expenses are greater than daily
interest income. the MMF will first respond by
reducing dividends already credited to shareholders during the month, and if this is not sufficient,
the MMF will lower its share price.
(3) Unlike the other two groups of MMFs that markto-market,
a third group does not include unrealized capital gains or losses in the calculation
of
income but allows the net asset value and the
share price to fluctuate with market interest rates.
If rates rise (fall), the share price will fall (rise).
The extent of the change in share price will depend on the maturity
schedule
of the portfolio
and the magnitude of the change in market rates.
In this case, the shareholder
has two variables to
monitor
to determine
his effective
yield:
dividends and share price.
The distinctive feature of amortized cost valuation is
that it isolates the share pricing and daily yield determination from the fluctuations
of the market.
The
greater stability, both in principal and in daily yield,
that this method
leads to, relative to the mark-tomarket method, is very appealing
to certain institutional investors,
especially
bank trust departments,
who have difficulty justifying
to their clients yields
that vary widely from day to day. For these reasons,
most trust departments
consider
amortized
cost to
be the preferable
valuation
method,
and some even
consider
MMFs
using mark-to-market
valuation
to
be an unacceptable
form of investment.
Despite the preference
of bank trust departments
for amortized
cost valuation, the Securities
and Exchange Commission
has stated in an interpretative
release that MMFs may use amortized
cost valuation
only for securities of 60 days or less to maturity and
that mark-to-market
valuation must be used for securities of longer maturity.l
The Commission
has
argued that amortized cost is an inappropriate
method
of determining
the asset value of securities
of more
than 60 days to maturity because it does not take into
account changes in market value and, therefore,
the
interest of existing shareholders
could be diluted under
certain circumstances.
Such a situation could occur if
market interest
rates rise (fall) and there are substantial net redemptions
(sales) of the MMF’s shares.
For instance, if interest rates rise, the market value
of the MMF’s assets will fall below the value “locked
in” by amortized
cost valuation.
(The extent of the
fall is directly related to the length of maturity
of
the fund’s portfolio.)
Hence, the MMF’s assets are
“overvalued”
in the sense that the fund is carrying
them at a value above their market value.
If share
redemptions
subsequently
exceed sales and if the fund.
1 SEC Release,

REVIEW, JULY/AUGUST

1979

No. IC-9786,

May 31, 1977.

is forced to sell securities prior to maturity
to meet
redemption
requests, these securities are sold at prices
below that at which they are valued by the fund.
Shareowners
redeeming
their shares are paid the constant share price, but remaining shareholders
are stuck
with a portfolio of lower asset value per share.
This
must be reflected
in lower dividends
or a reduced
share price for remaining shareholders.
In the case of falling interest rates, the appreciation
of portfolio
assets accrues immediately
to existing
shareholders
under mark-to-market
valuation.
But
under amortized cost, this benefit accrues in the form
of higher (relative to the market)
daily income.
If
share sales exceed redemptions,
however, this benefit
must be spread across more shares.
As a result, the
return to existing shareholders
is diluted.
Although
some MMFs, many of them dealing exclusively with institutions,
have sought permission
to
use amortized cost, the SEC has continued its efforts
to restrict the use of amortized cost. The Commission
did grant temporary
exemptions
under certain conditions in November
1977 to 10 MMFs
and shortly
afterwards
to 4 others, until full judicial disposal of
the matter.
However, prior to the beginning
in November 1978 of the hearing that was to resolve the
issue, the majority of the funds involved arrived at a
compromise.2
They agreed to use mark-to-market
valuation for assets of more than 60 days to maturity
and to maintain a dollar-weighted
average maturity of
120 days or less (to minimize
fluctuations
in asset
value).
In return they were permitted
by the SEC
to price their shares to the nearest one penny on a
$1.00 share price (“penny rounding”)
instead of the
one-tenth of a penny accuracy the SEC had previously
required.
“Penny-rounding”
was considered an adequate alternative to amortized
cost by the MMFs who joined
this agreement,
because it was thought to enable the
funds to maintain
a constant
share price and thus
provide a very stable investment
for institutions.
The
MMF’s share price would not diverge from $1.00 unless the fund’s net asset value per share went to
$0.9949 or $1.0050, an event thought unlikely given the
agreed restriction
on the maturity of the portfolio.
Some bank trust departments
found even this valuation method unacceptable.
One MMF that had used
amortized
cost but agreed
to the penny-rounding
compromise
lost one bank trust department’s
investment of $44 million. The MMFs involved in the legal
dispute
that did not agree to the penny-rounding
compromise
have continued the litigation over the use
of amortized
cost.
At the time of writing, offers of
settlement
which, if accepted, would allow the use of
amortized
cost under certain restrictions
have been
filed by the MMFs participating.
The SEC’s Division
of Investment
Management
has recommended
these
offers of settlement
be approved.
The decision of the
Commission
is pending.
2 SEC Release,

No. IC-10451,

October

26, 1978.

While the regulations
cited above may have had
some impact on the decision of bank trust departments to use STIFs,
the advantage
of size in the
operation of short-term
financial intermediaries,
such
as STIFs
and MMFs, has probably been a more
important
determinant.
According
to this line of
reasoning,
small- and medium-sized
bank trust departments use MMFs rather than establishing
STIFs
because the greater size of MMFs enables them to
better provide
the benefits
of intermediation
discussed earlier. A potentially key benefit is economies
of scale resulting
in lower average costs for large
MMFs (and large STIFs)
than for relatively small
STIFs.
In the presence of these economies of scale,
small- and medium-sized
trust departments
could
earn a higher yield net of expenses for their accounts
by placing their short-term
funds in MMFs than by
establishing
STIFs.
If this second explanation
for the use of MMFs
by bank trust departments
is accurate, there should
be a positive relationship
between the size of bank
trust departments
and their use of STIFs.
That is,
larger bank trust departments
should be more likely
to establish STIFs than smaller bank trust departA survey of collective investment
funds at
ments.
the end of 1978 provides convincing
evidence of
this relationship.
This survey, done by the Comptroller of the Currency,
covered almost 1000 bank
trust departments
and included almost all of those
that operate collective investment
funds.
Ninety-six
banks in the survey had STIFS.9
Of these, 68 were
national banks.
By comparing
the bank trust departments
in this group with the total universe of
national
bank trust departments,
it is possible to
get a distribution
of STIFs
according
to size of
bank trust department.
This distribution
is shown
in Table I. The table shows negligible use of STIFs
by bank trust departments
with less than $100 million in assets and only slight use by trust departments with $100 million to $500 million in assets.
In contrast,
38.5 percent of the trust departments
with assets of $500 million to $1 billion had STIFs
and 64.6 percent of the departments
with assets of
greater than $1 billion had STIFs.10
Finally,
it
9 These 96 banks operated a total of 147 STIFs.
Total
assets of these STIFs were $15.2 billion.
Seventy-six
of
the STIFs, with $4.4 billion of assets, were 9.18(a)(1)
funds, while 69 of the STIFs, with $10.4 billion of assets,
The other two funds were
were 9.18(a)(2)
funds.
covered by Section 9.18(c)(5)
of Regulation
9.
10 All of the percentages
in Table I may be understated
somewhat because the data on STIFs were collected from
the common
trust fund survey before the survey was
This would not, however,
checked for delinquencies.
have a significant
effect on the relative magnitude
of the
percentages
shown in Table I.

FEDERAL RESERVE BANK OF RICHMOND

21

slightly longer
money market.

Table I

THE DISTRIBUTION OF STlFs
BY SIZE OF BANK TRUST DEPARTMENT
(National

Size of Bank
Trust Department

Banks Only)

No. of Trust
Departments

No. of Trust
Departments
with STlFs

Percent

Less than $10 million

960

0

0.0

$10 to $25 million

248

1

0.4

$25 to $100 million

295

2

0.7

$100 to $500 million

191

19

9.9

$500 million to $1 billion

39

More

48

15
31

64.6

than

$1 billion

38.5

Note:
Bank trust departments
reporting zero assets were excluded from the sample. The bank trust department distribution is as of December 31, 1977; the STIF survey data were
collected for fiscal year end dotes ranging over 1978.
Sources: “Common Trust Fund Survey-1978,”
Comptroller of the
Currency; “Trust Assets and Number of Accounts of National
Banks With Trust Departments as of December 31, 1977,”
Comptroller of the Currency.

should be noted that many bank trust departments
that have STIFs
nevertheless
use MMFs to some
extent, especially for those agency accounts that are
not permitted to be invested in common trust funds.
STIFs,
themselves, may also invest in MMFs as a
means of satisfying the 40 percent liquidity require-,
ment.
These survey results make it clear that size is the
primary factor underlying
a bank trust department’s
decision on whether or not to operate a STIF.11 The
third article in this Review provides empirical support for the, contention
that there are economies of
scale in the operation
of financial intermediaries
for
short-term
funds.
These economies of scale provide
an explanation
for the decision of small- and mediumsized trust departments
to use MMFs rather than
operate their own STIFs.
Corporations
A third category
of MMF investors is nonfinancial
corporations.
While this sector
has a very large amount of funds held in short-term
financial assets, its use of MMFs to date has been
limited relative to individuals
and bank trust departments. In discussing the attractiveness
of MMFs as
an investment
alternative
for nonfinancial
corporations, it is useful to consider two components
of corporate liquid financial holdings : ( 1) assets held for
transactions
purposes
and (2) assets held for a
11 Bent [2] asked marketers of STIF computer packages
at an ABA Midcontinent
Trust
Convention
at what
level a STIF made economic sense. The reply was that
“a department
with $500 million in assets would realize
an advantage.”
That reply is consistent
with these
survey results.

22

ECONOMIC

REVIEW,

period

and

usually

invested

in the

MMFs and Transactions Balances As noted, most
MMFs offer checking for amounts of $500 or more.
The payment of explicit interest on demand deposits
at banks is prohibited
by the Banking Act of 1933.
Since corporations
hold a large amount of demand
deposits, the opportunity
to write large checks on
MMF shares would appear to have created a potential role for MMFs in corporate cash management.
The comparison
of money market fund shares to
demand deposits, however, is complicated by the fact
that banks do pay an implicit rate of return on demand deposits,
This return is paid in the form of
lines of credit, use of credit, cash management
serClearly, MMF
vices and other banking
services.
shares cannot be considered a substitute for demand
deposits held to compensate
a bank for services it
alone provides.
To the extent that the checking
privilege of most MMFs can be substituted
for this
service provided
by banks, however,
MMFs
may
enable corporations
to reduce the amount
of compensating
balances held.12
The regulatory
on demand
porate
(RP)

prohibition

deposits

involvement
market.

of payment

has encouraged
in

the

Corporate

substantial

repurchase

demand

of interest

deposits

cor-

agreement
in excess

of compensating
balances are often invested
overnight in RPs arranged
through the bank.
A comparison of rates offered on RPs by government
securities dealers and average MMF yields for 1978
and the first four months of 1979 shows very little
difference.13
As bank fees for investing in overnight
RPs are likely to be higher than the cost of investing
in MMF shares, which consists only of wire charges,
MMFs appear to have offered corporations
a competitive alternative
to RPs in this period.
Also,
MMFs appear to provide an overnight
investment
opportunity
for those corporations
without sufficient
funds to meet the substantial
minimum
purchase
requirements
on RPs.
Despite the fact that MMFs appear to represent a
partial substitute
for conventional
means of holding
12Also there are some banking
services that may be
paid for in fees, rather than by holding compensating
balances.
To the extent that paying fees allows the corporation
to economize
on its demand deposit holdings,
funds are freed for investment
elsewhere.
If the corporation wishes to keep these funds liquid, MMFs might
be an attractive
option.
13MMF

yields

used in this comparison

are from DonogMass. RP yields
by government
securities

hue’s Money Fund Report of Holliston,
are averages
dealers.
JULY/AUGUST

of yields

1979

offered

transactions

balances,

evidence

on MMF

share turn-

turnover rates greater than 8 in the period covered.
One small fund had a turnover rate of 28, suggesting
that its shares were being used for transactions
purposes. In fact, this fund’s turnover rate subsequently
reached a level of over 100, but then dropped sharply
to 2.

over rates strongly suggests that neither corporations
nor other MMF investors have used MMFs extensively for transactions
purposes.
Turnover
rates of
demand deposits, savings deposits, and MMF shares
are presented in Table II. These rates are measured
as total debits or redemptions
in a given month
times 12 (to annualize)
divided by the average level
of deposits or shares outstanding.
The data shown
are for every third month beginning
in July 1977,

Two reasons
porate

use

First,

certain

redemption

the first month the savings deposit turnover
rates
are available.
Over the period shown in the table,
the turnover rate of MMF shares varied from 3 to 4.
In sharp contrast, the turnover
rate of demand deposits was in a range of 128 to 157 per year.
The
turnover
rate for MMF
shares is about halfway
between the turnover
rates for business savings deposits and individual savings deposits.
After adjusting for the greater percentage of business and other
institutional
money in MMFs, as opposed to savings
deposits, the aggregate
turnover
rate for MMFs is
remarkably
similar to the aggregate turnover rate for
savings deposits.
The aggregate
MMF share turnover rates are so
low, relative to demand deposit turnover rates, that
they strongly indicate that corporations
have not used
MMFs for transactions
purposes to any significant
degree.
It might be argued that since corporations
hold a relatively
small proportion
of MMF shares,
the aggregate data are masking heavy share turnover
among some funds that deal more heavily with corporations.
Examination
of individual
MMF turnover rates, however, provide little support for this
Turnover
rate data for 40 individual
conjecture.
MMFs over an annual period are listed in the accompanying
article [7]. This group of 40 funds encompasses all types of funds, including those that deal
only with institutions
and some that deal heavily with
corporations.
Yet only 2 of the 40 funds had share

MMFs

can be advanced

of

MMFs

features
systems

for

of MMF
lessen

as a substitute

Secondly,

MMFs

to turnover

for

for the limited

transactions
share

the

purchase

and

attractiveness

of

repurchase

may be unwilling

cor-

purposes.

agreements.

to allow shares

very rapidly.

The share purchase
and redemption
systems of
almost
two-thirds
of MMFs
surveyed
prevent
these MMFs from being used by corporations
as a
substitute
for overnight
RPs because a corporation
can not invest in one of these MMFs one day, and
receive payment with one day’s dividends the following day. An investment
in one of these MMFs entails the loss of one day’s dividends (unless shares are
redeemed by check), which results in a significant
reduction
in the rate of return of an investment
placed for just a couple of days. Thus, these MMFs
are not a substitute for overnight RPs, nor do they
provide a competitive yield on an investment for just
a few days.14

14 A survey of MMF prospectuses revealed that 39 of 61
MMFs in the survey effect share purchase and redemption orders once each business day at the close of the
New York Stock Exchange.
Dividends are declared each
business day before share orders are processed.
Therefore, at one of these MMFs, a purchase order effective on
Monday is not credited with dividends until Tuesday.
A
redemption
request on Tuesday would result in the shares
being redeemed
at the close of the NYSE that day.
Remittance
would not be sent until Wednesday
at the
Check-writing
earliest, with only one day’s dividends.
redemption
avoids the loss of a day’s dividends because
shares earn dividends up to and including
the day the
check is presented
to the MMF’s bank.

Table II

TURNOVER

Demand

Deposits

Savings

Deposits

FUNDS

July ‘77

Oct. ‘77

Jan. ‘78

April ‘78

July ‘78

Oct. '78

Jan. ‘79

April ‘79

128.1

134.6

131.5

138.0

139.4

144.1

151.2

156.8

All Customers

1.6

1.7

1.8

1.9

2.0

2.1

2.7

3.2

Business Customers

4.0

4.5

4.7

4.7

5.1

5.8

6.8

7.0

Others

1.5

1.5

1.7

1.8

1.8

1.9

2.5

3.0

3.1

3.3

3.6

3.7

3.5

3.7

3.8

3.1

Money Market

Note:

RATES AT COMMERCIAL BANKS AND MONEY MARKET

Fund Shares

Turnover rate for demand
ally adjusted.

Sources:

deposits are seasonally adjusted.

Federal Reserve Bulletin; Donoghue’s

Turnover

rates for ravings deposits and MMF shares are not season-

Money Fund Report of Holliston, Mass.

FEDERAL RESERVE BANK OF RICHMOND

23

The share purchase and redemption
policies of the
remainder
of the MMFs surveyed potentially
allow
the investor to avoid uninvested
days. Thus, a corporation investing in one of these MMFs on Monday
could earn one day’s dividends and expect remittance
on Tuesday.15
However,
MMF prospectuses
rarely
provide guarantees
as to what day, let alone what
time, remittance
will be sent.
A MMF’s delay in
remitting payment may mean lost investment
opportunities and a lower effective yield for the corporation.
Thus, the attractiveness
of a very short-term
MMF investment
to a corporation
may be diminished
by the uncertainty
as to when remittance
can be
expected, an uncertainty
largely absent in repurchase
Nevertheless,
if one of the MMFs in
agreements.
this second group provides
assurances
remittance
for redeemed shares, a MMF
corporations
pending

a competitive

on the relative

of prompt
could offer

alternative

net yields

to RPs

de-

of the two forms

with a redemption
of shares are relatively
fixed,
while the fees earned by the MMFs
manager and
advisor on an investor’s funds are positively related
to the size of the shareholder’s
investment.
Hence,
the willingness
of a MMF to tolerate turnover
by a
given customer should increase with the average size
of the customer’s investment.
For any share turnover rate there should be an average share level at
which the MMF will permit that rate of turnover.
If the investor is not maintaining
that level then,
under current
institutional
arrangements,
the only
options available to the MMF are to ask the investor

to decrease

MMFs

ments

The second,
for the limited
MMFs
needs.

is a degree
to

serve

Rapid

costs arising

of unwillingness
their

turnover

on the part of

shareholders’
of shares

from bank charges

transactions

involves

significant

for processing

checks

and the MMF’s expenses when shares are redeemed.
MMFs have not developed pricing systems that allocate these costs to individual

shareholders

who turn-

over shares rapidly.
In the absence of such systems,
MMFs sometimes find it necessary to simply restrict
the turnover activity of some investors.
example is provided
by the MMF,
whose
because

turnover

rate

one corporation

sively for transactions

reached
purposes.

discussion

is not meant

as CDs

of direct

investment

MMFs

is solely

mechanism

the

institutions

the

are, like individuals,

to imply

that under
rapid turn-

would a MMF

tolerate

over of its shares

by an investor.

The costs associated

15Shares can be purchased and redeemed in most of
these MMFs
on business
days at noon and at 4 p.m.
Eastern
time.
Dividends
are credited just prior to the
processing
of share orders at either noon or 4, depending
on the MMF, to shareholders
of record.
In the case that
the MMF declares
dividends
at noon, for example,
a
purchase order effected at either noon or 4 p.m. Monday
would first receive dividends
at noon Tuesday. If the
investor’s
redemption
request was received before noon
on Tuesday, shares would be redeemed at noon and payment with a day’s dividends could be expected that afternoon.
ECONOMIC

deposits

short-term

investment
consistent
diversifica-

to be significantly
regulations.

with

in June

MMF

by Regula-

available

with

1979.)

officials

that are using

corporations
funds

affected

was $10.3 billion of corporate

smaller end of the size spectrum,
since

or to use

be noted, however, that small-sized
corwith savings deposits at the depository

Conversations

able

and

The

program

yield

by government

of over

Subsequently,

which

net

do not appear

those corporations

100

on

large
instru-

paper.

market

of liquidity

outstanding

exten-

from

a very

commercial

highest

in this decision

It should
porations

have

in the money

degree

Corporations

affected

orders

to use an in-house

savings

this MMF

of his shares

in money market

dependent

offers

with the desired
tion.

and

of a corporation

A dramatic
cited earlier,

no circumstances

24

such

(There

corporation
was asked to refrain from doing so and
within a month the fund’s turnover
rate plummeted
to 2.
This

also

tion Q ceilings.

a level

was using

corporations

volume of direct investments
decision

purposes

rate

Versus Direct Money Market Investment

Nonfinancial

of investment.
and probably more important,
reason
use of MMF shares for transactions

the turnover

or to refuse to accept new share purchase
the investor.16

MMFs

reveal

that

are at the

which seems reasonsmaller

for investment

amounts

of

are more

likely to benefit from the advantages
a MMF offers
as a financial intermediary.
The ability to offer these
16The rapid growth of MMFs in 1978 resulted in much
speculation on the impact of MMFs on the growth rates
of the monetary
aggregates.
Most of this speculation
centered on whether or not MMFs were a factor contributing
to the slowdown
in the growth rate of M1 in
the fall of 1978. The main argument for the presence of
an effect of MMFs on M1 is that the liquidity of an
investment
in MMFs -especially
the check-writing
feature-makes
them a virtually
perfect,
interest-earning
substitute
to M1 for transactions
purposes.
This argument fails to take into account the almost universal minimum $500 requirement
on checks.
Nor does it consider
the two factors limiting the use of MMFs for transactions
purposes discussed in this section.
In any case the MMF
share turnover rate data provide virtually no support for
the position that MMFs have served as a close substitute
for demand deposits.

REVIEW, JULY/AUGUST

1979

advantages is a corollary of the MMF’s portfolio size.
The greater size of the MMF’s portfolio may enable
the small corporation
to gain greater liquidity and
diversification
than it could get by running
an inhouse money market investment
program.
Also, if
there are economies of scale in the operation of corporate money market investment
programs, as there
appear to be in the operation of MMFs [7], the small
corporation
may gain a higher net yield by investing
through a MMF than through an in-house program.
II.

MONEY

MARKET

FUND YIELDS

The assumption
that MMFs offer rates of return
comparable to money market rates underpin the two
broad explanations
advanced
above for the rapid
growth of MMF assets.
The first emphasized
the
ability of MMFs to provide money market rates to
those previously denied access. The second explanation emphasized the advantages
offered to some investors by MMFs which act as an intermediary
for
short-term
funds.
One such advantage
is that, due
especially to economies of scale, some investors can
gain a higher net rate of return by investing
in a
MMF than by investing directly in the money market.
As both explanations
depend heavily on the
assumption that rates of return on MMF investments
and on other money market instruments
are comparable, this section will examine
the relationship
between MMF and money market yields.
The following section analyzes the growth of MMF assets
in the context
of a MMF yield series developed
below.
A crucial distinction
must be made in comparing
MMF rates with money market rates.
When purchasing a money market security,
the investor
is
quoted a rate of return that he will receive if he holds
that security to maturity,
assuming the issuer does
not default.
A purchaser
of MMF shares, on the
other hand, receives no quotation as to what return
he will gain if he holds his shares for a certain period.
Rather, a yield quoted to the investor on the date of
purchase indicates the annualized
net yield received
on an investment
in the MMF over the past day,
week, month, or year. The actual yield received by
the MMF investor is determined
after he purchases
his shares, and is influenced by many factors.
These
factors are (1) the general level of money market
yields, (2) the composition
of assets of the MMF,
(3) the expenses of the fund absorbed by its shareowners, (4) the movement in interest rates over the
period shares are held and (5) the accounting
procedure used by the fund to calculate share prices and
daily dividends.

The
MMF
investor’s
yield
is fundamentally
dependent
on the interest
accrued
daily on the
MMF’s ever-changing
portfolio of securities.
The
amount of interest accrued depends on the general
level of money market yields and on the type and
maturity of securities held at a given time.
MMFs
vary considerably
in both the type and average maturity of securities held. A large percentage of most
MMFs’
holdings
are in domestic and Eurodollar
CDs, commercial paper and Treasury bills, but various other high grade money market instruments
are
also commonly purchased. A small number of MMFs
have restricted
their portfolio investments
to purchases of government
more risk-averse
composition

securities,

investors.

of all MMFs

1975 to the first

quarter

asset composition

of MMFs

sponsive
stance,

to changes
the large

and other

money

market

to attract

3 shows the asset

from the third

quarter

of 1979.

aggregate

appears

in yield

spread

apparently

Chart

to be quite

differentials.

between
rates

1978 resulted in a significant
ernment securities.

The

For

Treasury

rein-

bill rates

in the latter
movement

of

half of

out of gov-

Another
important
determinant
of the yield received by an investor in a MMF is the expenses
deducted from the income of the fund before dividends

are

expenses

declared
(total

FEDERAL RESERVE BANK OF RICHMOND

each

expenses

day.
minus

The

percent

expenses

of net
absorbed

25

by the fund’s administrator)
to average assets on
annual basis varies in a range from 0.4 to 1.4,
though most funds have net expense ratios of
percent or less.
MMF expenses are discussed
more detail in the third article in this Review.
The extent

of movement

over the period

shares

vestor’s

These

yield.

earned

gains

movements

MMF’s

The magnitude
related

assets.

The

shorter

from

the

value

held

days equal to the average maturity
of the MMF’s
assets. The ex ante yield series was then calculated
using an asset-weighted
average of the five MMFs’
ex ante
yield series.
Finally, 60 basis points were
subtracted
from each month’s annualized
yield to
form a yield series net of expenses.
This 60 basis
points figure
expense
MMFs

ratio

over

market”
or

fund.

Some

accounting

losses

funds,

procedures

(whether

pass

realized

or

basis.

Others,
using “amortized
methods, do not allow unrealized
losses to affect yield.

AVERAGE EX ANTE YIELD SERIES
FOR FIVE LARGEST MMFs

MMF

that

uses

amortized

The accounting
methods
the center of substantial
resolved.

The

Box

various

accounting

outlines

the nature

As noted
post yields,

all quoted

quoted

rate on a money

for MMFs
to-maturity
Table

III

in greater
by

MMF

based on the behavior
market

5.39

90

1977

5.65

83

gains

Dec.

1975

5.41

79

Oct.

1977

6.00

75

daily

Jan.

1976

4.68

119

Nov.

1977

6.01

88

Feb.

1976

4.75

125

Dec.

1977

6.02

87

Mar.

1976

4.80

113

Jan.

1978

6.34

82
87

Apr.

1976

4.49

104

Feb.

1978

6.27

in a

May

1976

4.95

95

Mar.

1978

6.21

91

be

June

1976

5.27

94

Apr.

1978

6.40

80

July

1976

4.98

104

May

1978

6.73

76

Aug.

1976

4.87

111

June

1978

7.31

69

Sept.

1976

4.82

115

July

1978

7.44

65

Oct.

1976

4.46

111

Aug.

1978

7.51

75

detail

MMF

yields

to construct
for

with

1978

8.14

68

Oct.

1978

8.66

60

1977

4.31

105

Nov.

1978

9.55

52

1977

4.25

108

Dec.

1978

9.96

50

Mar.

1977

4.28

98

Jan.

1979

9.56

50

Apr.

1977

4.28

105

Feb.

1979

9.54

54

May

1977

4.99

97

Mar.

1979

9.45

50

June

1977

4.87

102

Apr.

1979

9.28

48

July

1977

4.93

96

ex

over a
the

money

In

market
to yield-

instruments.

an

ex anteaverage

yield

MMFs

by asset size.

The

each MMF’s
ex ante yield for each
determined
by calculating
the yield-to-

maturity on a portfolio with the same asset composition as the MMF, under the assumption
that each
security in the portfolio matured
in the number of
26

Sept.

Feb.

series was constructed
using money market rates and
MMF asset composition
and average maturity
data.
Specifically,
month was

107
122

represents

in concept
market

4.38
4.10

Jan.

are

By contrast,

1976
1976

the

an ex ante yield series

money

such

series for the five largest

yields

Nov.
Dec.

and

held to maturity.

that would be similar
presents

1977

Sept.

MMFs

instrument

yield on a security

series

Aug.

86

may

of a MMF

of time in the past.

to compare

78

5.36

of the MMF’s
market rates.

used

Yield

5.90

used by MMFs have been
controversy,
not yet fully

describes

period

order

valuation

(sales)
(falling)

Date

1975

of the controversy.

above,

yields it is useful

a

Yield

Average
Maturity
(Days)

1975

cost” accounting
capital gains or

cost

methods

certain

the promised

on

Date

Average
Maturity
(Days)

Nov.

The yield of an investor

affected by net redemptions
shares in periods of rising

of the five

among the largest

Oct.

“mark-to-

on these

not)

period

Table Ill

in market

using

1975-78

of the
maturity,

The influence
of capital gains and losses on the
MMF’s yield depends on the accounting
procedures
by the

the

annual

five MMFs.

rates.

used

equal to the average

that were most consistently

of the MMF’s

change

is roughly

or losses

maturity

the average

a given

rate

already

of the gains

in market

resulting

rates
the in-

and also result

to the average

the less the change
portfolio

affect

of the MMF

or losses on the assets

by the MMF.
is inversely

interest

are held also affects

on new assets

in capital

in market

an
al1.0
in

ECONOMIC

Note: The average ex ante yield series for the five largest MMFs
was constructed in the following way: (1) Asset composition
and average maturity data for the five largest MMFs (by
asset size) in each month were collected from Donoghue’s
Money Fund Report of Holliston, Mass. (2) Each MMF’s entire
portfolio was assumed to mature in the number of days
given by the MMF’s average maturity.
Yields for each type
of security held were determined from 1-month, 3-month, and
6-month yield series by extrapolation
and interpolation assuming a linear term structure. For securities for which yield
data were not available,
such as RPs and securities in the
“other” category, the yield was assumed to be the simple
average of the yields on other securities in the portfolio.
All
yields were converted into annualized
percentage rates. (3)
The ex ante yield for each MMF in each month was calculated
as the overage yield on the securities held, weighted by the
percentage of each security type in the portfolio, minus 60
basis points for expenses.
(4) For each month, an assetweighted
average
yield and an asset-weighted
overage
maturity were found for the five MMFs.
Sources: Salomon Brothers, Bond Market Roundup;
Money Fund Report of Holliston, Mass.

REVIEW, JULY/AUGUST

1979

Donoghue’s

The ex ante yield series is a rough estimate of the
net yield that could be expected from a MMF investment held at the time indicated over the period given
by the average maturity
of the MMFs’ portfolio.17
The series is comparable

to yields

instruments

the maturity

portfolio
investment

except
varies
costs.

ing the relative
at a given

time.

that

and the MMF
Thus,

on money

market

of the MMF

yield series is net of

the series is useful in show-

attractiveness

of a MMF

investment

The yield that should be compared

to this MMF yield series depends on the investor in
question.
For individuals
with less than $10,000 to
invest, the relevant alternative
rate is the Regulation

17 The implicit assumption
underlying the construction
of
the ex ante yield series is that interest rates remain constant over the period given by the average maturity.
Expectations
of interest rate fluctuations
will affect the
expected MMF yield for two reasons.
First, as securities
mature new assets are purchased at different rates.
Second, under the mark-to-market
method of valuing MMF
portfolios, the capital gains or losses on the MMF’s portfolio associated with interest rate fluctuations
will accrue
to shareholders
whether they are realized or not.

Q ceiling rate on savings deposits and small shortterm time deposits.
For individuals
with greater
than $10,000, it is the yield on Treasury
bills and
money market certificates
at depository
institutions.
And for investors with sufficient funds to invest in
other money market instruments,
such as commercial
paper and CDs, it is the yield on these instruments.
Of course, as noted, the yields on money market
instruments
are gross yields whereas the MMF yield
series is net of expenses.
III.

GROWTH

OF MMFs

Chart 4 compares (1) the differential between the
ex ante money market fund yield series derived above
and the Regulation Q ceiling rate on savings deposits
at thrift institutions
with (2) monthly changes in the
dollar volume of MMF shares outstanding.
The
chart shows that MMFs experienced
little net contraction in assets during 1976 and the first half of
1977, despite
ex anteMMF yields that were well
below the Regulation
Q ceiling rate for savings de-

FEDERAL RESERVE BANK OF RICHMOND

27

posits. After the spread between the ex ante MMF
rate and the savings deposit rate rose to roughly 100
basis points in late 1977 and early 1978, MMF assets
increased by $0.5 billion per month on average.
The
monthly
changes
in the dollar volume
of MMF
shares outstanding
remained at that level throughout
most of 1978, while the spread between the ex ante
yield series and the savings deposit rate rose to 200
basis points in the middle of the year. After market
interest rates increased further in the fall of 1978,
however, the monthly
increases
in money market
fund shares rose sharply. By the first month of 1979,
the increase in MMF shares was over $2 billion per
month and the monthly
increase remained
at that
level through the first five months of 1979.
The rough association
between
the rise in the
spread between the MMF yield series and the Regulation Q ceiling rate and the increases in money market fund shares explains the belief that the growth of
MMFs was solely a result of funds being withdrawn
from

the deposit

According
MMFs

is to provide

to individuals
significant
the

relatively

While

part of the growth

deposit

much

also represented
of this
and

their

which use MMFs

to manage

in order

to take advantage

resulting

from the pooling

The answer
in MMFs

is simply

has resulted
from
in this

assets.

The

the MMFs
group

a variety

of large amounts

survey
tute

to the money market.

Hence,

growth

of money

market

fund

shares

on the relative
and

conducted

in late 1977,

a number

funds.

excluding

to $6.5 billion

by the

ownership
is also

by the Investment

of shares by

provided

by a

Company

Insti-

The survey

estimated

were given temporary
permission
to use straight-line
accrual
accounting
methods
under certain
conditions.
Two of these conditions
were that the MMFs restrict
themselves
to institutional
investors
and set minimum

account size at $50,000.
19 This classification
and the data used to construct
the
series are taken from Donoghue’s
Money Fund Report,
of Holliston, Mass.

best

of funds.
the growth.
regula-

market
such as

have access

in those sectors

of investor,

of funds

began

to limit their investors
to institutions
(i.e., all investors except individuals)
and to require minimum
28

of a fund

mutual

18 These restrictions were imposed as part of an agreement with the SEC. Under this agreement these MMFs

there is some useful information.
Beginning

individuals

[10] at the end of 1978.

to Regulation
Q.
data on ownership
by type

of

1979.

Information
institutions

had grown

Many

are part

investors

assets

would be aided by a breakdown
of money
shares by investor category.
Large investors,

cannot be attributed
primarily
While there are no comprehensive

group

of different

individual

end of May

of scale

of government

and corporations,

MMFs.19

shows that the group of MMFs

tions or whether it also is due to other advantages
MMFs
offer investors
as a financial
intermediary

bank trust departments

purpose

The chart

departments,

short-term

of whether

general

in the third

having

is the case of

trust

of the economies

a result

other

in the way some

their

to the question

of

true that a

taken

change
bank

(3)

over this period

change

fundamental

yields

by individuals

short-term

medium-sized

by

amounts

the position

and

MMFs.
served

market

of MMFs

of the growth

a lasting

manage

example
small-

into

small

of funds

institutions,

is that

investors

put

it is undoubtedly

the withdrawal

article

and

access to money

having

funds to invest.
from

institutions

to this view, the only function

initial- investments
of $50,000.18
It is possible to
derive a series beginning
at that point in time for
funds that deal only with institutions.
This series
does not include all institutional
money in MMFs,
since many of the other MMFs also have significant
amounts of institutional
money.
Chart 5 shows the
growth of MMFs divided into three groups:
(1)
those MMFs that deal only with institutions,
(2)
general purpose MMFs sponsored by stockbrokers

ECONOMIC

REVIEW, JULY/AUGUST

1979

that 46 percent of the dollar volume of MMF shares
was held by individuals
and 54 percent was held by
institutions
(the rapid growth of the stockbrokersponsored MMFs in 1979 has probably increased the
percent of shares held by individuals).
It seems
likely that at least half and probably
as much as
three-quarters
of the total MMF
shares held by
institutions
at the end of 1978 were held by bank
trust departments.20
With regard to investment
in MMFs by individuals, it is impossible to estimate how much is coming
from individuals
seeking access to the money market
and how much is from individuals
who already had
this access but who are nevertheless
attracted
to
MMFs for other reasons. It appears, however, that a
significant
amount
of money from this source is
coming from individuals
who are not using MMFs
primarily
to gain access to money market yields.
Three pieces of information
support this conclusion.
The first is the rapid growth of the stockbrokersponsored MMFs, which by May 1979 had combined
assets of roughly $10 billion,
Most of the money in
these MMFs comes from individuals
through brokers.21
It seems unlikely
that a large part of the
growth of these MMFs is due to money being withdrawn by small investors from deposit institutions.
Rather it appears that most of the growth in this
group of MMFs has resulted from larger investors
taking
advantage
of the opportunity
offered by
MMFs as an investment
vehicle for funds freed by
the sale of market securities.
The second piece of information
on individual use
of MMFs is data on MMF shares purchased
and
redeemed due to exchanges with other types of mutual funds in a fund group.
These data suggest extensive use of MMFs by individuals
for this purMonthly
purchases
of MMF
shares with
pose.
money redeemed from other funds averaged $178
million a month in the year ending April 1979, and
redemptions
of MMFs for the purpose of buying
shares of other mutual funds in a fund group averaged $135 million per month over the same period.

20 This estimate
is based on conversations
with MMF
The Investment
Company
Institute
survey
officials.
estimates
that at the end of 1978 51.8 percent of institutional shares were held by “total fiduciary
accounts.”
This figure probably
understates
the trust department
percentage
because the survey also estimates
that 20.7
percent of institutional
shares were held by “other institutional accounts”
and 7.6 percent were held by “total
employee
plans.”
Both of these categories
probably
include some funds handled by bank trust departments.
21 Tyson [11] reports that 98 percent of the shareholders
of the largest MMF (with assets of over $4 billion in
June 1979) were already
customers
of the brokerage
firm that operates the fund.

From January
1978 through April 1979 the difference between total MMF share sales due to exchanges and total MMF redemptions
due to exchanges was $619 million.22
This figure is an estimate of the growth of MMFs due to exchanges with
other mutual funds.
Lastly, information
on individual
participation
in
MMFs comes from the Investment
Company Institute survey cited above.
This survey gathered data
on average account size for individuals
and institutions.
The average account size for individual
investors of the 30 MMFs
(representing
43.5% of
total MMF assets) which provided detailed data for
the survey was $11,905.23 Since this figure is above
the $10,000 minimum
required
for purchases
of
Treasury
bills and money market certificates,
it implies that many individual
MMF shareholders
have
these investment alternatives.
Of course, the average
is low enough to indicate that there are many individuals with accounts smaller than $10,000 for whom
MMFs do provide the only access to money market
yields.
Before concluding
this section, it should be noted
that one basic question has not been raised.
If, as
the evidence indicates, MMFs are not only a reaction
to government
regulations
but also represent a new
form of specialization
in the financial markets, what
economic explanation
accounts for the timing of this
new form of specialization?
That is, why did MMFs
spring up in the 1970’s when mutual funds for stocks
and bonds started
decades earlier?
A thorough
answer to that question is beyond the scope of this
However,
one possible explanation
is that
paper.
because MMFs have many more shareholder
transactions than do mutual funds for stocks or bonds,
they were not economically feasible prior to advances
in computer technology in the late 1960’s and 1970’s
that reduced the administrative
and recordkeeping
expenses associated with these transactions.
IV.

CONCLUSION:

THE FUTURE

OF MMFs

The central conclusion
of this paper is that the
rapid growth of MMFs in 1978 and 1979 has been
both a reaction to government
regulations
and a
result of fundamental
changes in the way some institutional and individual
investors manage their short-

22 These figures
pany Institute.

were

provided

by the Investment

Com-

23 The average account size for institutions
of the 30
MMFs that provided detailed data was $34,904. However, as noted in footnote
1, this figure is difficult to
interpret
because of the difference in the way these accounts are treated by different MMFs.

FEDERAL RESERVE BANK OF RICHMOND

29

term financial assets.
A corollary of this conclusion
is that MMFs will survive as a new intermediary
in
the financial markets regardless of the future course
of government
regulations
that have contributed
to
their growth in the past. While the future growth of
MMFs can not be predicted with any certainty, some
limited comments
can be made regarding
the three
major categories of investors discussed in the paper.

trust departments
manage their short-term
assets. A
rough estimate of the amount of funds potentially
available to MMFs from this source is derived in
Table IV.
The information
used in deriving
this
estimate consists of (1) the fraction of short-term
to total assets of bank trust departments
and (2) the
fractions of short-term
funds in different size bank
trust departments
potentially
available to MMFs.

Individuals Regulation
Q ceiling rates on savings
and short-term
time deposits less than $10,000 have
been a major factor underlying
the participation
of
individuals
in MMFs.
As long as MMFs offer small
savers the only means of gaining access to money
market yields, the use of MMFs by individuals
and,
hence, the level of MMF assets will be sensitive to
the differential
between
money market
rates and
Regulation
Q ceiling rates.
Much of the growth of
individual participation
in MMFs, however, is attributable to factors other than the limited access of small
savers.
Individuals
with $10,000 or more to invest
find MMFs
attractive
because of the advantages
they offer as a financial intermediary:
diversification,
liquidity,
possibly higher net yield, etc. Moreover,
the growth of the stockbroker-sponsored
MMFs suggests that MMFs
are attractive
to the individual
investor as a repository
for money available after a
sale of stocks, bonds, or other financial assets.
The
exchange privilege offered by many MMFs in mutual
fund groups is a further, but less important,
reason
why use of MMFs by individuals
should continue
regardless of the future of Regulation
Q.

The first fraction is estimated largely on the basis
of the ratio of STIF assets to total assets for the
national trust departments
that reported STIFs in the
common trust fund survey discussed in Section I.24
This ratio, .067, probably understates
the true ratio
of short-term to total trust department
assets because
money from agency accounts of personal trusts and
estates cannot be put into STIFs.
Consequently,
the
estimate used in Table II is set slightly higher.
The
increase in the estimate is based on the ratio of assets
of agency accounts of personal trusts and estates to
total trust department
assets. For each size category
of bank trust department,
the portion of short-term
funds potentially
available to MMFs
is based primarily on the frequency
of STIF
usage by trust
department
size shown in Table I. The assumption
is that money in, or likely to end
up in,STIFs is not

Bank Trust Departments
The flow of funds into
MMFs from bank trust departments
is primarily
a
basic change in the way small- and medium-sized

potentially

available

Column

to MMFs.

(5) in Table

short-term

funds

IV gives the estimate

potentially

from each trust department

available

for

size category.

of total
MMFs

The total

24 It would be more desirable
to calculate the ratio of
short-term
assets to total assets directly.
Data on trust
assets are collected in the annual survey, Trust Assets of
Insured Commercial Banks [5]. The data, however, are
not collected in a manner that permits
the division of
short-term
and long-term
assets.

Table IV

A ROUGH ESTIMATE

Less than $100
$10-25 million
$25-100

million

million

$100-500

million

$500 million-1 billion
More than

$1 billion

TOTAL

Note:

OF BANK TRUST

DEPARTMENT

SHORT-TERM

TO MMFs

Estimate of Ratio
of Short-Term to
Total Assets

Estimate of Total
Short-Term Assets

Estimate of Fraction
of Short-Term Assets
Available to MMFs

Estimate of Total
Short-Term Assets
Available to MMFs

($ millions)
(1)

(2)

($ millions)
(3) = (1) x (2)

(4)

($ millions)
(5) = (3) x (4)

5,546

.08

444

1.0

444

7,555

.08

604

1.0

604

26,535

.08

2,123

1.0

2,123

59,242

.08

4,739

0.8

3,791

38,128

.08

3,050

0.5

1,525

365,709

.08

29,257

0.2

5,851

40,217

of the estimate in column (2) is described in the text.

Source: Comptroller of the Currency, Federal Deposit insurance Corporation,
Trust Assets of Insured Commercial Banks - 1977.

30

AVAILABLE

Bank
Trust Deportment
Assets

502,715

The derivation

FUNDS

ECONOMIC

14,338

Estimates in column (4) are based on Table I.
and

Board

REVIEW, JULY/AUGUST

1979

of Governors

of the

Federal

Reserve System,

estimate is $14.3 billion.
Of course, this is only a
rough estimate.
(Also, the estimate, which is based
on trust assets at the end of 1977, would be expected
to grow slowly as trust assets increase.)
Nevertheless, the estimate makes the point that the flow of
bank trust department
money into MMFs will probably not continue at the rapid pace of 1978-79.
A
reasonable judgment
is that as of mid-1979 at least
half of the trust department
money potentially available to MMFs was already in these funds.
One caveat should be added. The survey of Trust
Assets of Insured Commercial Banks, from which
the total assets figures in column (1) of Table IV
are taken, omits strictly custodial agency accounts
and corporate trusts and corporate agency accounts.
Strictly custodial agency accounts are those for which
the trust department
neither
exercises
investment
discretion
nor provides investment
advice.25
Corporate trusts and corporate
agency accounts
are
created by a corporation to secure bond issues and for
other purposes.
No data are available on the magnitude of these two items.
Corporations

Nonfinancial
corporations
have used
MMFs only to a fairly limited degree.
MMF share
turnover rate data strongly suggest that MMFs have
not been used extensively
by corporate investors for
transactions
purposes.
The unwillingness
of MMFs
to bear the costs of rapid share turnover is the most
plausible
explanation
for this low turnover.
One
possibility is that pricing systems will evolve in the
MMF industry that allocate the costs of rapid share
turnover
to investors using MMFs for transactions
purposes.
If so, the reluctance of MMFs to tolerate
rapid turnover would diminish, and corporate use of
MMFs as a partial substitute
for demand deposit
balances and as an alternative to RPs might increase.
To date, most of the limited use of MMFs by
corporations
have been due to smaller corporations
which invest in MMFs rather than investing directly

25 There are three types of agency accounts:
(1) strictly
custodial accounts for which the trust department
provides no investment
advice and exercises no investment
discretion;
(2) advisory agency accounts, for which the
bank trustee offers investment
advice; and (3) managing
agency accounts, for which the bank has investment
disStrictly custodial accounts are omitted from the
cretion.
survey of Trust Assets of Insured
Commercial
Banks
because trust departments
have no influence
over the
investment
of the funds in these accounts.

in the money market.
This decision is primarily
based on which investment
alternative
offers the
highest yield net of expenses
consistent
with the
desired degree of liquidity and diversification.
An
analysis of the costs involved in running corporate
money market investment
programs was beyond the
scope of this paper.
If, however, MMFs are able to
offer a higher net yield than some corporations
can
gain through investing directly in the money market,
then it is likely that corporate
use of MMFs will
grow in the future.

References
1.

Bank Administration

stration

ments. Park Ridge,
Institute,
1976.
2.

Institute.

Investments

Task
Illinois

The Trust AdminiTrust Invest: Bank Administration

Force.

Bent, Bruce R. “Sorting Out the Money Market
Funds.”
Trusts and Estates (June
1976), pp.
408-15.

3. Comptroller
of the Currency.
“Trust Assets and
Number of Accounts of National Banks with Trust
Departments as of
December
31, 1977.”
4.

. “Common

Trust

Fund

Survey-1978.”

5.

Federal
Deposit
Insurance
Corporation, and goard of Governors
of the Federal
Reserve System.
Trust Assets of Insured Commercial
Banks - 1977. Washington,
D. C.: Federal Deposit
Insurance
Corporation,
1977.

6.

Cook, Timothy Q. “The Determinants
of Spreads
Between
Treasury
Bill and Other Money Market
Rates.”
Working Paper No. 79-4, Federal Reserve
Bank of Richmond,
August 1979.

7.

and Duffield,
Jeremy
G.
“Average
Costs of Money Market Mutual Funds.”
Economic
Review, Federal Reserve Bank of Richmond
(July/
August 1979).

8.

Donoghue,
William
Manual. Holliston,
stitute, 1977.

E.
The Cash Management
Mass.:
Cash Management
In-

9. Donoghue’s Money Fund Report of Holliston,
Various issues.

Mass.

10.

Investment
stitutional
Washington,

Company Institute.
“Survey of the InActivity
of Money
Market
Funds.”
D. C., July 10, 1979.

11.

Reserve Management
Corporation.
The Effects of
Shareholder Servicing on the Returns to Investors
in 13 Selected Money Funds. New York:
Reserve
Management
Corporation,
1976.

12. Tyson, David O. “Merrill
Lynch Trust
Years Become Largest
Mutual Fund.”
Banker, June 19, 1979, p. 1.

Has in 4
American

C. Financial Market
Cliffs, New Jersey:

Rates and
Prentice-

13.

Van Horne, James
Flows. Englewood
Hall, Inc., 1978.

FEDERAL RESERVE BANK OF RICHMOND

31

AVERAGE COSTS OF
MONEY MARKET MUTUAL FUN
Timothy Q. Cook and Jeremy G. Duffield

This article
presents a discussion and analysis of
the expenses
of money
market
mutual
funds
(MMFs).
The primary motivation
of the study is
to consider a possible explanation
for the extensive
use of MMFs by bank trust departments.
A bank
trust department
has at least three options in managing the short-term
funds of its separate accounts.
First, it can invest the short-term
funds of each account individually
in time and savings deposits and,
if the account has sufficient funds, money market instruments.
Second, the trust department
can operate
a collective investment
fund for money market instruments called a “short-term
investment fund (STIF).”
Under this arrangement,
short-term
funds of various
accounts managed by the trust department
are pooled
and invested collectively.
As a third alternative
the
trust department
can place the short-term
funds of
its accounts in a MMF. With some minor differences,
STIFs and MMFs provide the same services to the
accounts of the bank trust department.
In particular,
both types of funds serve as financial intermediaries
for short-term
funds, thereby enabling investors
to
earn prevailing market rates of return on large money
market instruments.
The decision to establish a STIF
appears to be
largely dependent
on the size of the bank trust department.
The larger the trust department,
the more
likely it is to have a STIF.
Survey data presented in
the accompanying
article [5] demonstrate
this relationship convincingly.
Of the trust departments in
the survey with assets of $100 million or less, fewer
than 1 percent had established
STIFs
and of the
trust departments
with assets of $100 million to $500
million, only about 10 percent had STIFs.
In contrast, almost 40 percent of the trust departments
in
the survey with assets of $500 million to $1 billion
had STIFs and about 65 percent of the departments
with assets of $1 billion or more had STIFs.
Many, if not most, bank trust departments
without
STIFs use MMFs.
A possible explanation
for the
use of MMFs by small- and medium-sized
bank trust
departments
is that both MMFs
and STIFs
are
subject to decreasing average costs as assets increase.
If so, a small- or medium-sized
bank trust department could get a higher yield net of expenses for its
32

ECONOMIC

REVIEW,

accounts by investing in a MMF than by setting up a
relatively
small STIF.
In order to evaluate this
explanation
using MMF expense data, the argument
is made in this paper that MMFs and STIFs
are
subject to most of the same expenses and that the
behavior of the relevant MMF expenses with respect
to asset size can be used as a proxy for the behavior
of STIF expenses.
A second motivation
of the paper is to provide
additional
evidence on the question of the existence
of economies of scale
in the operation
of financial
intermediaries.1
Economies of scale are present when
the long-run operating costs per unit of output of a
business fall as output increases.
MMFs provide a
unique opportunity
to investigate
economies of scale
of financial
institutions
because the “output”
or
“product” of MMFs is more homogeneous
than the
output of other financial intermediaries
such as commercial banks. For the purpose of this paper MMFs
are assumed to produce one output:
the service of
intermediation
in the investment of short-term funds.2
That output is measured in the paper by the dollar
volume of funds for which the MMF is serving as
an intermediary.
I.

TYPES OF MONEY MARKET

FUND EXPENSES

To investigate the two issues raised above, expense
data were gathered
from the annual
reports and
prospectuses
of 40 money market funds.3
The general format under which expense data are reported
1 For a summary
and discussion
of previous
evidence
with regard to economies of scale of financial intermediaries, see Benston
[2].
2 Of course, there are some minor variations
across
MMFs in the nature of services provided to shareowners.
For example, most, but not all, offer checking privileges
and the share redemption
policies of some funds are more
sophisticated
than others.
In general these differences
were too difficult to identify and quantify and, in any
case, were thought
to have a negligible
effect on expenses.
In one instance discussed later in the article an
attempt was made to capture variations in the extent of a
service provided.
3 Initially, the

prospectuses

and

annual

reports

of 57

money market funds were collected. In order to avoid
the possibility of including startup or organizational
expenses in the data, no fund was included in the study if
the beginning
of the expense period reported
was also
the starting date of the fund.
This criterion eliminated
JULY/AUGUST

1979

by MMFs is
fairly standard.
This format is illustrated in Table I, which presents expense data reported by one of the MMFs.
In the table expenses
are grouped
into two broad categories
and seven
subcategories,
consolidating
35 different
items reported by one or more of the MMFs.
The grouping
by items is listed in the Exhibit at the end of the
article.
The two broad expense categories shown in Table
I are operating and nonoperating
expenses.
(This
classification
is made for the purposes of this paper
and is not found in MMF reports.)
Operating
expenses include all expenses incurred by the MMF
in its operations
as an intermediary
for short-term
funds.
In this role it pools money from various
investors and invests that money in short-term money
market instruments.
The expenses considered
here
to be operating
expenses of the MMF are all expenses related to management
and administration
of
the fund, the selection and storage of securities, and
transactions
and communications
with shareowners.
Nonoperating
expenses are those expenses not incurred in the MMF’s operation as a financial intermediary.
The expenses included in this second category are either government
expenses, such as registration fees and taxes, or expenses resulting
from
government
regulations
and requirements,
such as
auditing expenses.
The division of total expenses into operating
and
nonoperating
expenses is necessary to investigate the
issues raised above. First, by definition, the presence
of economies of scale depends on the behavior of
Consequently,
it is necessary
to
operating
costs.
measure and analyze these costs separately.
Second,
in order to use MMF expenses as a proxy for STIF
it is necessary
to identify which MMF
expenses,
expenses are incurred by STIFs.
Since STIFs and
MMFs fulfill the same function,
they should have
similar operating expenses.
Hence, the behavior of
this category of expenses is of particular interest.
A
third reason for making the division between oper12 funds, all of which started in 1977 or 1978. Four
additional
funds were eliminated
because they did not
report some expenses that were absorbed at cost by the
administrator
of the fund and one fund was eliminated
because it was not a no-load fund.
This left 40 funds.
Of these, 39 started operations
at least 6 months prior to
the beginning
of the period for which expenses
were
reported.
The last fund was started 3 months prior to
The data for 39 of the
the expense reporting
period.
funds are annual data while the data for the other fund
are annualized
data reported for an eight-month
period.
The funds have different periods over which they report
expenses and the lag between the end of that period-and
Consequently,
the end
the annual report also varies.
points of the periods used in the study for the 40 funds
vary from May 1977 to December
1978. In every case
the latest available data were used.

ating and nonoperating
expenses is that since, as will
be shown later, the two categories of expenses behave
quite differently as MMF asset size increases, examining them separately aids in an understanding
of the
behavior of total MMF expenses.
The largest operating expense is “management
and
advisory fees.”
Under the organizational
structure
common to virtually all MMFs, the fund is run by
an “administrator”
or an “advisor”
who provides
certain services to the MMF for a fee, which is
specified as a percent of the total assets of the fund,
While there is some variation in the services covered
by the fee, these services usually include : (1) administration
and management
of the fund and (2)
In most
investment
advice and portfolio selection.
cases the administrator
provides both these services,
although in some instances the investment
advisory
service is delegated to a second organization
which
is paid part of the management
and advisory fees.
The annual management
and advisory fees, reported
by all 40 funds, ranged from .32 percent to .625
percent of average assets, with 29 of the firms reporting fees equal to .50 percent of assets.4 The management and advisory fees may also cover other services
Because the
in addition
to the two noted above.
services covered by the management
and advisory
fees vary across funds, the ratio of management
and
advisory fees to total operating expenses also varies
considerably.
The second operating expense category shown in
Table I is reports to shareowners,
which covers
expenses
related to the production
and mailing of
(In some cases nothing
is
shareowner
reports.5
reported under this category, because these expenses
are covered by the management
and advisory fees.)
The third operating expense category, other operating
expenses, covers a number of items. The two major
and most commonly
reported
items are expenses
related to transactions
with shareowners,
including
the distribution
of dividends, and custodial expenses
related to the storage and safekeeping of securities.
Two of the 40 MMFs charge shareowners
a direct

4 Eleven of the funds had management
and advisory fees
schedules that declined as assets rose.
These were not
in all cases the same 11 funds that reported fees other
than ½
of a percentage
point.
Some MMFs had fixed
fees other than ½
of a percentage
point, while others
with declining
fee schedules
had not reached a high
enough asset level for the declining fees to go into effect.
5It can be argued that “reports to stockholders”
does not
belong in the operating expenses category because these
reports
are a response
to government
regulations,
not
investor needs.
However the position taken here is that
even in the absence of these regulations,
shareowners
would demand information
similar to that contained
on
the prospectuses
and annual reports.

FEDERAL RESERVE BANK OF RICHMOND

33

Table I

STANDARD EXPENSE REPORTING FORM OF
MONEY MARKET MUTUAL FUNDS
Account
(thousands)
Operating

Expenses

Management

and Advisory

Fees

Reports to Stockholders
Other Operating

Expenses

Other Expenses
Professional
Directors’

Fees

$202.7

.80

127.6

.50

25.1

.10

50.0

.20

105.1

.41

40.5

.16

Fees

15.0

.06

Registration Fees, Taxes,
Amortization

35.3

.14

Miscellaneous

14.3

.05

307.8

1.21

Total

Expenses

Less Expenses “Waived”
by Administrator
Expenses Absorbed

_

Percent of
Average
Assets

by Shareholders

53.3

.21

254.5

1.00

monthly
service fee.
In this paper those fees are
included in other operating expenses.
The second broad category of expenses includes
all nonoperating
expenses of the MMF.
The first
group of nonoperating
expenses,
professional
expenses, covers auditing
and legal expenses.
The
second, directors’ (or trustees’) fees, is self-explanatory.
A third group of nonoperating
expenses includes state and local taxes, state and SEC registration fees, and amortization
expenses.
Amortization
expenses,
which were reported
by 14 of the 40
MMFs, were the most difficult item to categorize.
Since several of those MMFs stated that part of the
amortization
expenses were related to initial SEC
registration
expenses, it was decided to include this
item with taxes and registration
fees.
The last
grouping is for miscellaneous
expenses.
After calculation
of total expenses,
the administrators of 23 out of 40 MMFs “waived” or “reimbursed” to the fund part of these expenses.
That is,
part of total expenses were not absorbed by shareowners of the fund.
In some cases the waiver was
part of an explicit commitment
by the MMF’s administrator
to place a limit on the expenses of the
fund absorbed
by shareholders.
In the example
shown in Table I, for instance,
the administrator
placed a limit on total annual expenses absorbed by
shareowners
equal to 1.00 percent of the fund’s average assets.
In other cases the waiver is an informal
management
arrangement
not described explicitly in
the prospectus
or annual
report.
In reports
to
stockholders
the waiver is often couched in terms of
34

ECONOMIC

the administrator
“foregoing”
part of the advisory
and management
fees. In some instances the administrator has not only foregone all of the advisory and
management
fees but also absorbed other expenses
of the fund. An important
assumption
made at this
point is that the true measure of total costs of the
fund is total expenses before the waiver.
This assumption will be discussed in more detail later.
Table II lists the expenses in each of the categories described
above for the 40 MMFs.
The
MMFs are arranged
in Table II
by average asset
size. The table also lists the expense waivers and
indicates the percent of total expenses covered by
the waiver. The “share turnover rate,” shown in the
last column of the table, is the rate at which the
MMF’s shares turned over in the period for which
its expenses are shown.
It is measured as total redemptions
of shares divided by the average dollar
volume of shares outstanding.
Total expenses as a
percent
of average
assets of the 40 MMFs
are
graphed in Chart 1.
II.

THE REGRESSION

MODEL

This section specifies a regression
model
MMF costs to three other MMF variables.
three variables are (1) assets, (2) average
size, and (3) share turnover
rate.

relating
These
account

Assets
The first variable related to costs is the
size of the MMF, as measured
by average MMF
assets over the period for which expenses are mea-

REVIEW, JULY/AUGUST

1979

Table II

EXPENSES

AND ASSETS

OF MONEY

MARKET

MUTUAL

FUNDS

($ thousands)

Average
Assets

Management and
Advisory
Fees

Reports to
Shareowners

Other
Operating
Expenses

Professional
Directors'
Expenses
Fees

1.

2,325

11.6

2.0

4.7

1.5

2.

3,911

24.2

4.1

2.4

9.8

3.

6,358

32.1

4.0

22.5

16.3

4.

6,474

32.4

5.4

8.7

7.7

Taxes,
Registration Fees,
and Amortization

2.0

Total
Expenses

Share
Turnover
Rate

Waiver
Percent
or Reimof Total
bursement Expenses

7.0

0.2

29.0

5.6

19.1

1.7

17.0

1.1

58.5

19.4

33.2

3.1

30.5

3.4

108.8

45.2

41.6

1.7

0.7

6.6

7.5

68.9

26.8

38.9

2.5

13.4

0.5

5.

6,556

32.8

12.9

6.8

26.9

3.8

1.4

97.9

5.5

5.6

6.

6,762

33.9

11.0

33.9

19.9

4.1

11.6

114.4

33.9

29.6

2.1

7.

10,165

50.8

5.4

98.0

3.5

4.6

6.9

169.2

32.7

19.3

2.8

8.

12,647

63.2

2.7

50.4

13.6

9.

14,031

70.4

13.0

14.0

15.8

10.

14,436

72.2

21.5

25.7

18.1

3.9

11.

15,024

54.8

20.4

38.2

30.8

12.6

12.

18,443

92.2

11.9

46.5

29.0

4.2

13.

22,563

112.7

8.1

63.3

8.5

14.

24,294

121.5

15.1

28.3

16.0

15.

24,369

121.8

60.7

22.8

16.

25,451

127.6

25.0

50.0

17.

27,107

135.8

11.0

18.

35,707

178.6

3.4

0.4

133.7

112.0

83.8

7.8

17.2

1.2

145.0

39.8

27.4

28.7

15.8

4.5

161.7

89.6

55.4

2.2

26.2

16.1

199.0

49.2

24.7

1.8

14.7

12.5

211.0

72.7

34.4

31.4

8.4

232.4

9.2

18.5

7.5

216.1

116.5

53.9

2.8

1.5

40.1

7.3

254.3

39.8

15.7

6.4

40.5

15.0

35.3

14.3

307.8

53.3

3.6

46.3

23.0

17.0

38.0

24.5

295.5

17.3
—

4.6

84.5

38.9

8.1

27.5

9.5

351.8

33.5

9.5

7.7

13.5

1.4
6.6

4.8

19.

38,337

191.7

8.7

29.0

33.0

5.5

64.4

9.1

341.5

92.3

27.0

4.1

20.

39,539

196.7

14.0

24.5

23.0

2.5

40.3

7.4

308.4

155.9

50.6

2.5

21.

41,776

209.8

14.3

46.3

52.2

16.0

52.9

12.4

403.8

86.3

21.4

3.8

22.

49,876

199.7

18.2

23.6

26.8

2.5

48.0

0.4

319.2

3.3

23.

51,036

256.1

331.7

9.7

485.3

2.7

75.6

24.

59,919

300.3

25.

60,405

300.0

16.0

26.

66,580

333.9

78.0

27.

71,342

321.6

28.

80,636

29.

90,992

30.
31.
32.

170,224

55.3

6.4

2.1

14.0

9.0

108.0

413.9

12.0

14.4

41.2

—

893.4

46.0

60.2

16.6

11.0

43.9

7.2

506.5

302.5

9.1

42.6

39.5

44.9

63.1

11.0

512.8

364.7

9.6

52.1

64.0

24.0

100.1

22.5

637.0

4.7

95,488

479.1

41.0

64.1

30.9

14.1

93.4

3.0

725.7

3.9

144,447

504.4

38.3

48.3

32.0

141.0

16.0

780.0

5.8

685.1

97.5

189.1

16.2

89.7

28.7

1,106.5

4.1
3.1

107.7

13.6

447.0

33.

188,958

942.8

78.2

386.2

43.6

20.2

272.3

51.8

1,795.1

34.

221,348

1,109.9

29.0

169.7

42.8

11.5

94.5

92.0

1,549.4

35.

229,380

1,146.7

82.5

897.5

78.5

13.0

85.6

36.

328,705

1,578.5

32.0

197.6

57.3

14.9

519.3

37.

429,072

1,275.3

13.5

559.8

60.3

18.3

211.8

38.

508,887

1,645.0

24.8

261.7

122.5

66.5

58.1

9.5

2,188.2

39.

557,390

2,229.5

6.4

234.6

83.7

14.0

11.1

30.1

2,609.4

40.

681,582

3,403.5

64.7

780.4

60.5

26.5

264.1

35.0

4,634.8

sured.
marily
These
visory
actions
interest
penses

Many, if not most, MMF expenses are pria function of the size of the MMF portfolio.
expenses
include the management
and adfee and expenses related to security transand storage. As noted earlier, the key area of
in the study is the relationship
between exand assets as assets rise.

Average account size While the preponderance
of
MMF expenses are related to the size of the portfolio, others appear to be related to the number of
Examples
of such expenses
shareholder
accounts.

2,303.8
31.1

2.8
74.5

8.3

8.0
2.1

45.1

8.8

3.8

2.1
10.0

3.8

0.4

2,399.6

3.7

2,170.1

3.0
2.5
101.2
—

3.9

3.2
2.3

are reports to shareholders
and transactions
with
shareholders.
The variable used to capture the impact of these expenses on costs is average account
If two funds have an equal amount of assets, it
is postulated that the one with higher average account
size will have lower costs.6
size.

6 Alternatively,
the number of accounts could be used
instead of average account size. Average account size
was chosen because the number of accounts is closely
correlated
sion.

with asset

FEDERAL RESERVE BANK OF RICHMOND

size, which

is already

in the regres-

35

Share turnover rate
Other things equal, one
would expect administrative
and shareholder
servicing costs of a MMF to vary positively with the share
turnover rate of its shares. In general the higher the
share turnover
rate of a given fund, the more the
shareowners
of that fund are using their shares for
transactions
purposes.
As argued
in the second
article in this Review
the relatively low share turnover rates of MMFs indicate that MMF shares are
more comparable to savings than to demand deposits.
Nevertheless,
to the extent that turnover
rates do
vary across MMFs, one would expect administrative
and shareholder
costs to vary accordingly.
In order to estimate the relationship
between MMF
expenses and MMF asset size, average account size,
and share turnover
rate, the following equation was
specified:
(1)

C= aAbAAScTRd,

where C is total
costs, A assets, AAS average account size, and TR share turnover
rate.
Equation
(1), which is the specification
most commonly used
in cost studies of financial institutions,
has the feature
that the coefficient “b” is the elasticity of expenses
with respect to asset size.
If b is less than 1, a
given percentage
change in assets will result in a
smaller percentage change in total costs.
Prior to the estimation of equation (l), both sides
were divided by A, so that the dependent variable is
average costs, the same measure shown in Chart I :
(2)

C/A

=

aAb-lAAScTRd.

Equation
(2) is nonlinear
and, as such, cannot be
estimated using ordinary least squares.
In order to
estimate the equation using ordinary
least squares,

it is necessary to transform
it into linear form by
expressing the variables as logarithms.
Accordingly,
natural logarithms
of both sides of (2) were taken:
(3)

log(C/A)

= log(a) + (b-l)log(A)
+
c log(AAS)
+ d log(TR).

In this equation the coefficient of log (A) is (b-1).
Hence,
the standard
test of the hypothesis
that
(b-1)
is significantly
different from 0 is equivalent
to the test of whether
b is significantly
different
from 1.
III.

REGRESSION

RESULTS

Table III reports
regression
results
with four
different measures of expenses as the dependent variable.5
Because average account size data for 3 of
the 40 MMFs were not available, these funds were
eliminated
from the sample in the regressions
reAlso in none of the regression
ported in the table.
results did the share turnover rate enter the equation
with a significant
coefficient.
Consequently,
the reported equations do not include that variable.
The first equation reported in Table III is for total
average expenses
(C/A).
The regression
results
support the hypothesis that money market funds are
subject to decreasing
average costs as asset size increases.
The estimate of (b-l)
is -.183
and is
7 All data except the average account size were gathered
from individual MMF stockholder
reports.
The average
account size data were calculated
using individual company asset size and shareholder
accounts
data from
Donoghue
[6]. These data were not available for three
of the funds (1, 12, 24).
For the other funds average
These
account
size was calculated
for each month.
monthly figures were then averaged over the period for
which each fund’s expense data were used.

Table III

REGRESSION RESULTS:
Dependent
Variable

ALL MMFs
Elasticity
of costs
With Respect
to Assets

Constant

log (A)

Log (AAS)

SE

(1) log (C/A)

-2.434
(10.82)

-.183
(8.22)

-.092
(3.92)

.175

.77O

.817

(2) Iog (OC/A)

-3.527
(13.15)

-.101
(3.81)

-.119
(4.26)

.208

.584

.899

(3) log (NOC/A)

-1.441
(2.51)

-.442
(8.37)

.445

.664

.558

(4) log (POC/A)

-2.963
(11.82)

-.146
(5.91)

.194

.690

.854

-.108
(4.12)

All variables are measured in thousands of dollars. Equation 1 has 37 observations.
Equations
Note:
2, 3, and 4 hove 36 observations.
C = total costs, OC = operating costs, NOC = nonoperating
costs, POC = professional fees plus operating costs, A = average assets, AAS = average account
sire.
Figures in parentheses are t-statistics.

36

ECONOMIC

REVIEW, JULY/AUGUST

1979

highly significant.
The implied estimate of the elasticity of expenses
with respect to assets, .817, is
shown on the right-hand
side of the table. The coefficient of the average account size variable also has
the expected sign and is highly significant.
The remaining
regressions
reported
in Table I
relate to the issues raised at the beginning
of this
article.
One of these issues was whether
MMFs
experience
economies of scale.
Equations
(2) and
(3) in Table III break down total average expenses
into average operating costs (OC/A)
and average
nonoperating
costs (NOC/A),
respectively.8
The
coefficient of assets in equation
(2) is significantly
less than 0 at the 1 percent level. The implied elasticity of operating costs with respect to assets is .899.
Since this elasticity is less than 1, these results support the view that MMFs experience
economies of
scale in their operations
as a financial intermediary
for short-term
funds.
Equation
(3) in Table III reports the regression
results for average nonoperating
costs.
The coefficient of log (A) is again highly significant.
The implied elasticity of nonoperating
expenses with respect
to assets is .558. As would be expected, there is not a
statistically
significant
relationship
between average
account size and nonoperating
costs. The regression
results in equation
(3) indicate that the impact of
unit nonoperating
costs on total average costs drops
sharply as asset size increases.
This phenomenon
is
illustrated in Chart 2 which shows the average MMF
total cost curve and the average operating cost curve
implied by the regression
results.
The difference
between the two curves represents average nonoperating costs. At low asset levels average nonoperating
costs are a substantial
part of total average MMF
costs. As asset size increases, however, average nonoperating costs drop sharply. In contrast, the decline
in average operating costs is much more gradual.”

8 Fund 23 is excluded from the sample used in regressions (2), (3), and (4) in Table III because expenses of
that fund were not reported in a way that they could be
divided into the expense categories
used in these regressions.
9 Two aspects of the regression
results should be mentioned at this point.
First, Benston
[2] has suggested
that running the regression
with log (C/A)
biases the
coefficient of log (A) because A is in the denominator
of
the dependent
variable.
To test for this possibility
the
regressions
were rerun using log (C) as the dependent
The resulting
estimates
of the elasticities
of
variable.
cost with respect to assets were virtually unchanged,
as
were the coefficients
of the average account size variable. Second, three of the funds used in the regressions
have average account sizes much larger than the other
The reason for this is that in reporting
the
funds.
number of accounts these MMFs treat all the accounts
of a bank trust department
as one account.
To see if
these funds were having an impact on the regression

Bank Trust
Department
Behavior
The major
question raised at the beginning
of this article was
whether an examination
of the expenses of MMFs
could help explain the extensive usage of MMFs by
small- and medium-sized
bank trust departments.
It
was speculated
that these bank trust departments
might use MMFs to take advantage
of the lower
average expenses experienced
by a larger intermediary for short-term
funds.
The regression results in
Table III indicate that MMFs experience
both declining operating costs and nonoperating
costs in the
If the cost bemanagement
of short-term
funds.
havior of MMFs is used as a proxy for the cost behavior of STIFs,
these results explain why large
bank trust departments
set up STIFs, while smaller
bank trust departments
use MMFs.10
results in Table III, the regressions
were rerun without
the data for these funds (28, 31, 38). The only effect
was to raise the absolute value of the average account
size coefficient.
The t-statistics
of all coefficients
were
little changed.
10 It would be better to deal with the issue directly by
analyzing the cost data of STIFs.
However, these data
More imporwould be extremely
difficult to gather.
tantly, the data would be impossible
to analyze because
some STIF expenses are charged directly to the STIF
while other expenses
are charged
to the bank trust
department.

FEDERAL RESERVE BANK OF RICHMOND

37

Is it reasonable to use the cost behavior of MMFs
as a proxy for the cost behavior of STIFs?
Since
both STIFs
and MMFs fulfill the same functionthe intermediation
of short-term
funds-it
seems
quite reasonable
to assume that the operating
expenses of STIFs are similar to those of MMFs and
exhibit the same behavior as MMF expenses with
respect to asset size. True, STIFs do not have expenses related to transactions
with shareholders,
but
they do have expenses related to transactions
between
the STIF and individual
accounts of the bank trust
department.
In addition,
STIFs
are required
to
publish an annual report and a “plan” similar to a
prospectus.
It is not clear to what extent the nonoperating
costs of MMFs- professional
fees, registration
fees
and taxes,
and directors’
fees- are
incurred
by
STIFs.
One exception is auditing expenses, which
are clearly incurred
by STIFs
since, like MMFs,
they are required to have an annual audit.11 If it is
assumed that STIFs are not subject to the other nonoperating
expenses of MMFs, then the appropriate
aggregate MMF expense category to use as a proxy
for aggregate
STIF expenses is operating costs plus
professional
fees. A regression
with average operating plus average professional
costs (POC/A)
as
the dependent
variable is shown as equation (4) in
Table III.
The estimate of the elasticity of costs
with respect to assets
is .854, again
indicating
declining average costs with respect to asset size.
MMFs of $50 Million or Greater
As shown in
Chart 1, while the negative
relationship
between
average
MMF
costs and asset size appears quite
strong at low asset levels, the relationship
seems
ll See [4].

Table

REGRESSION

RESULTS:

much weaker
addressed

at high asset levels.

in this section

is whether

are sub-

average

operating

costs at high asset levels.

attempt

to answer

this

total costs and decreasing

question,

12 There was very rapid growth in the MMF industry
following the period over which the data for this article
were collected.
As a result, as of mid-1979 there were
many more MMFs with assets of $50 million or greater.
Consequently,
a follow-up
study would have a larger
sample of funds to use in considering
the question of
economies of scale of MMFs with assets of $50 million
or more.

IV

MMFs OF $50 MILLION OR GREATER
Elasticity
of costs
With Respect
to Assets

log (AAS)

(1) log (C/A)

-3.243
(4.56)

-.116
(1.95)

-.087
(2.85)

.213

.386

.884

(2) log (OC/A)

-4.077
(4.38)

-.060
(.77)

-.108
(2.87)

.261

.310

.940

-.706
(.429)

-.503
(3.68)

.463

.440

.497

-3.807
(4.45)

-.080
(1.12)

.240

.332

.920

ECONOMIC

in

MMFs

The regression results for MMFs with $50 million
or greater of assets are shown in Table IV.
The
coefficients of the average
account
size variable are
significant and very close to those in Table III.
The
coefficient of the asset size variable is significant
at
the 10 percent level in the average total costs regression (1) and significant at the 1 percent level in the
average nonoperating
costs regression
(3). In equations (2) and (4) which have average operating
expenses and average operating
plus professional
expenses, respectively,
as the dependent
variables, the
average asset size coefficient is not significantly
different from zero, even at the 20 percent level. Consequently, the results in Table IV provide some evidence that average total MMF costs are negatively
related to asset size even after $50 million.
They
provide minimal support for the presence of decreasing average operating
costs (economies
of scale)
among MMFs with assets
greater than $50 million.
In light of the limited number of observations
used
in the regressions,
the results should be viewed as
tentative.12

-.099
(2.86)

Note:
All variables are measured in thousands of dollars.
Equation 1 has 18 observations.
Equations
2, 3, and 4 have 17 observations.
C = total costs, OC = operating costs, NOC = nonoperating
costs, POC = professional fees plus operating costs, A = average assets, AAS = average account
size. Figures in parentheses ore i-statistics.

38

In an

the regressions

Table III were rerun with data for only those
with assets of $50 million or greater.

log (A)

(4) log (POC/A)

MMFs

average

Constant
---

(3) log (NOC/A)

question

ject to decreasing

Dependent
Variable

A final

REVIEW, JULY/AUGUST

1979

IV.

THE EXPENSE WAIVER

References

As mentioned earlier, many MMF administrators
“waived”
part of the fund’s total expenses in the
reporting
periods covered by this paper.
That is,
rather than passing on all of the MMF’s expenses to
the shareowners,
the MMF’s administrator
absorbed
some of these expenses.
As a result expenses absorbed by shareowners
were often less than total
Throughout
this article it has been asexpenses.
sumed that the expense waiver is a waiver of true
costs. The evidence strongly supports this interpretation.13 Table II shows the waiver as a percent of
total expenses.
The table shows a clear division
between MMFs with less than approximately
$50
million of assets, and those with $50 million or more.
Of the 21 MMFs with less than $50 million of assets,
19 had expense waivers and 13 had expense waivers
Of the 19 MMFs with
of 20 percent or greater.
assets of $50 million or greater, only 4 had expense
waivers and none had a waiver as high as 10 percent.
These data illustrate that the waiver is being used
by the administrators
of the small MMFs to enable
them to compete more effectively
with the large
funds. To the extent that the approach is successful,
a small MMF can grow to an asset level where average costs can be fully passed on to shareowners.
V.
This

article

decline

evidence

costs.

both

to operating

It was argued

costs

that STIFs

of the same types of expenses
and

that

that

as assets increase,

to asset levels of about $50 million.
applies

Barron’s, June

Banking, IV

4. Code of Federal

Regulations.

the behavior

of MMF

5. Cook, Timothy

Market

nation

for the large-scale

Lastly,
waived
and

I.

inversely

related

of this relationship

whereby

larger

of MMFs is closely
A reasonable
to asset size.

funds

small

MMFs

until

they

costs can be fully passed

is that the waiver

is

can be competitive
reach

an

asset

level

on to shareowners.

13 Actually, a special factor was responsible for the size
of Fund No. 8's 83.8 percent waiver, which was easily
the highest

reported.

This money

market

used as a “loss leader” to attract investors
in its fund group.

See Anreder

[1].

fund was being

to other funds

Q., and Duffield, Jeremy G. “Money
Funds:
A Reaction to Government
Lasting
Federal
1979).

Financial
Innovation?”
Reserve
Bank of RichMass.

Expenses
and Advisory Fees

B. Reports to Shareowners
Reports to Shareowners
Printing/Printing
and Postage
Postage
Portage, Supplies, Printing
C. Other Operating Expenses
Shareowner Services
Transfer Agent
Custodian
Custodian and Shareowner Services
Custodian and Transfer Agent
Accounting Services
Bookkeeping
General and Administrative
General and Administrative and
Shareowner Services
Office Salaries
Promotion
Telephone
Rent
Equipment Maintenance
Interest
Service Fees
Bank Transaction and Checking Fees
II.

of expenses

Operating

A. Management

by small- and

that the amount

Volume 12, Section

Times
Reported

be

departments.

pp.

MMF EXPENSE CATEGORIES

funds

by the administrators

a method
where

use of MMFs

trust

it was shown

interpretation
with

bank

1976),

Exhibit

used as a proxy for the behavior of STIF expenses.
If so, then the results presented here offer an explamedium-sized

(June

6. Donoghue’s Money Fund Report of Holliston,
Various issues.

to most
could

Mutual

Regulations
or a
Economic Review,
mond (July/August

nonoperating

expenses

Out the Money Market

and Estates

9.18(b)(5).

average

as money market

1972) : 312-41.

“Sorting

This conclusion
and

(May

3. Bent, Bruce R.
Funds.”
Trusts
408-15.

at least up

are subject

5, 1978, pp. 4-5.

2. Benston, George J. “Economies of Scale of Financial Institutions.”
Journal of Money, Credit and

SUMMARY

has provided

costs of MMFs

1. Anreder, Steven S. “Liquidity Plus Return Adds
Up to a Fresh Surge in Money Market Funds.”

Nonoperating

40
18
13
2
7
11
14
25
5
7
3
2
4

Expenses

A. Professional Expenses
Audit
Legal
Audit and legal
Professional Fees
Audit and Accounting
Legal and Filing

23
23
11
4
1
1

B. Directors’ and Trustees’ Fees
Directors’ Fees
Trustees’ Fees

26
9

C. Registration Fees, Taxes. Amortization
State and Local Taxes.
Registration Fees
Amortization

17
34
14

D. Miscellaneous
Miscellaneous
Insurance

35
3

FEDERAL RESERVE BANK OF RICHMOND

39