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ECONOMIC REVIEW

Additional copies of the ECONOMIC REVIEW may
be obtained from the Research Department, Federal
Reserve Bank of Cleveland, P. O. Box 6387,
Cleveland, Ohio 44101. Permission is granted to
reproduce any material in this publication providing
credit is given.



AVERAGE FUNCTIONAL
COST AND REVENUE
FOR BANKS IN THREE
SIZE CATEGORIES,
1966-1969
Since the mid-1960's, most Federal Reserve Banks have
offered a Functional Cost Analysis (FCA) program w ithout
charge

to

member

banks.1 FCA

is a uniform

cost

accounting system designed to be a bank management tool
and implemented jo in tly by the sponsoring Federal Reserve
Bank and the participating commercial banks. The commer­
cial banks supply certain income, expense, balance sheet,
and activity data to the Federal Reserve Banks; in return,
they receive an analysis of their own income and costs,
broken down by function or activity, along w ith compar­
ative data fo r a group of similar banks. In the FCA
program,

IN THIS ISSUE

as in other Federal

Reserve data collection

activities, individual bank data are considered confidential;
thus, group averages and other techniques are used to avoid

Average Functional Cost and

disclosure.

Revenue fo r Banks in

1

Three Size Categories,

$10 billion. The program was made available in all twelve Federal

1966-1969 ................ 3




Participation is limited to member banks with assets of less than

Reserve districts, beginning in 1970. In the Fourth District, this
program is administered by the Bank Relations and Public Informa­
tion Department, Federal Reserve Bank of Cleveland.

ECONOMIC REVIEW
As an aid to bank management, the Federal

banks, investments, and loans (instalment, real

Reserve publishes cost and revenue figures fo r the

estate, and commercial and agricultural) constitute

participating banks in three different size cate­

the uses of funds. The classification of activities

gories as well as similar data fo r a select group of

into funds-supplying and funds-using categories

high performance banks. Although the primary

permits the calculation of an average cost of

purpose of the FCA program is to provide partici­

money rate3 and an average portfolio yield. These

pating commercial banks w ith a uniform cost

calculations, in turn, assist the participating bank

accounting system fo r major banking functions

in the evaluation of the net pro fitab ility of each

and

improving their

banking function. The earnings of a funds-using

performance

of

function are determined by subtracting the cost of

different size banks is of more general interest.

money and the operating cost from the gross

thereby

operational
Accordingly,

assist

them

efficiency,
this

article

in
the

together and

income o f the particular function. Similarly, the

summarizes the average FCA data published by the

draws

earnings of a funds-supplying function are equal to

Federal Reserve fo r the three size categories. The

the difference between the average portfolio yield

data were derived from the individual reports of all

and the expenses of the funds-supplying function.

participants for 1966-1969— period in which the
a

Thus each funds-using function is charged the

data form at was basically unchanged. Emphasis is

same cost of money rate, and each funds-supplying

placed on the differences in the functional cost

function is credited w ith the same gross yield.

and revenue experience of different size banks and

In addition to the analysis of individual fundssupplying and funds-using functions, FCA also

changes in those differences over time.

generates statements of overall earnings, personnel

THE FUNCTIONAL COST ANALYSIS
PROGRAM AND DATA

productivity and cost, and a breakdown o f costs
and income fo r three auxiliary bank service depart­

Inasmuch as the correct interpretation of FCA

ments that are considered to be neither funds-

data requires some understanding of the concepts

using nor funds-supplying: computer services, trust

and general approach employed by FCA, it is

departments, and safe deposit operations.

necessary to begin w ith a brief introduction to the

The Nature of the Data. The FCA national

program. A note of caution concerning the lim ita­

average reports distinguish three bank size cate­

tions of the data is also appropriate.

gories: total deposits up to $50 m illion (Class 1),

The Framework of FCA. The Functional Cost
Analysis

commercial

total deposits of $50-$200 m illion (Class 2), and

a

total deposits over $200 m illion (Class 3). Each

bank in terms of funds-supplying

annual FCA report fo r the years 1966 through

program

views

the

operation

of

Demand

1969 contains average information (such as an

deposits, time deposits, non-deposit liabilities and

average balance sheet, a statement of source and

capital2 are sources of funds; cash and due from

distribution of income, and a cost-revenue analysis

functions

2

and

funds-using functions.

In the FCA approach, all nondeposit funds are included

3The cost of money is the sum of operating and interest

in capital accounts. Net capital, a frequently used FCA

costs of all funds-supplying functions less any service

concept,

charge or other fee income. In the FCA program, it is

refers to total

nondeposit funds less bank

premises and other fixed assets.

4




used

principally

as a percent

of

available funds.

APRIL 1971

of the various bank functions) fo r these three size

(largest size) bank. The superior record of the

classes. The published figures are computed by

Class 2 bank, when compared w ith

aggregating the reports of the.individual banks in a

resulted from a lower cost per dollar of available

Class 1,

particular class and then dividing by the number of

funds, a factor that outweighed the lower gross

banks in the class, even though all banks in the

portfolio yield of the Class 2 bank. The perfor­

program do not maintain all functions. During

mance of the Class 3 bank was found to have been

1966-1969, the average number of banks in each

adversely affected by a generally lower income per

class was: Class 1, 710; Class 2, 227; and Class 3,

dollar of available funds that was not sufficiently

80. The FCA figures, therefore, obviously refer to

offset by lower costs.

a fictional bank; the balance sheet, functional

The data also indicate that the relative p ro fit­

earnings, and expenses correspond to the average

ability of various bank functions differed fo r the

reported fo r the class. An analyst should not,

three

therefore, impute the characteristics o f the average

1966-1969, the highest net earning loan function

bank

classes.

Over

the

entire

period

bank to individual members o f the class. In order

(per dollar of invested funds) at the Class 1 bank

to keep this point consistently before the reader,

was instalment lending; whereas commercial and

the average FCA figures w ill be discussed as

agricultural lending tended to be among the least

relating only to the Class 1 bank, the Class 2 bank,

profitable. Commercial and agricultural lending,

and the Class 3 bank.

however, was the highest net earning loan function

Generalizations about the entire banking system

(per dollar of invested funds) at the Class 3 bank

from the experience of the average FCA banks

in 1969. The data also indicate that the unit of

should also be tempered by the understanding that

output is important in determining which bank

participation in the Functional Cost program is

class had the lowest average cost fo r any function.

voluntary. The participants do not constitute a

For example, in 1966-1968, the Class 3 bank had

random sample of all commercial banks.

the lowest cost of demand deposits in terms of the

It should also be noted that, for a given year,

cost per dollar of such deposits, but the highest

there are only three observations from which to

cost

infer relationships between cost or revenue and

processing a deposit or clearing a check.

per

unit

of

account

activity,

such

as

size. Finally, the foreword to the FCA National
Average Report warns: "Bank cost accounting is
not

an

exact

science."

For

example,

some

subjective judgment is required in the allocation of

BANK SIZE CLASS AND EARNINGS,
INCOME, AND EXPENSE
For 1966-1969, the Class 2 bank consistently

cost to various functions.

achieved the highest earnings (gross income less

SOME GENERAL FINDINGS

expenses before taxes) per $1,000 of available

Given their limitations, the FCA data patterns
are still o f interest. The data show that, during

funds. The Class 1 bank was second; and the Class
3 bank, third (see Table I).

1966-1969, earnings per dollar of available funds

Total (gross) income and total expenses are also

(the sum of loans and investments plus cash and

shown in Table I to provide an indication of the

due from banks) were highest fo r the Class 2

relative contribution of each to earnings. These

(intermediate size) bank and lowest fo r the Class 3

data indicate that the higher earnings performance




ECONOMIC REVIEW
TABLE I
Income, Expenses, and Earnings per $1,000 of Available Funds
Averaged fo r Banks in Three Size Categories
1966-1969
Banks With
Deposits up to
$50 Million

Banks With
Deposits $50
Million to
$200 Million

Banks With
Deposits Over
$200 Million

(Class 1)

(Class 2)

(Class 3)

$56.25

$54.99

$52.82

39.21
17.04

37.03
17.96

36.26
16.56

58.76

56.73

55.11

41.48
17.28

38.92
17.81

38.17
16.94

62.65

61.25

61.10

43.65
19.00

40.95
20.30

42.27
18.83

68.46

67.45

68.22

46.60
21.86

44.52
22.93

47.47
20.75

1966
Total available
funds income
Total available
funds expenses
Earnings
1967
Total available
funds income
Total available
funds expenses
Earnings
1968
Total available
funds income
Total available
funds expenses
Earnings
1969
Total available
funds income
Total available
funds expenses
Earnings

NOTE: Total available funds income includes earnings from loans, investments,
and service charges. Tax-exempt income has been converted to a taxable
basis in all FCA data. Expenses include the processing and administrative
cost of loans and investments and the "cost of money." Earnings are
before Federal taxes and exclusive of gains or losses from security
transactions.
Source: Functional Cost Analysis National Average Reports

of the Class 2 bank, when compared w ith the Class

tially lower expenses per dollar of available funds

1 bank, was not due to a higher income rate. (In

that more than offset the lower total income per

fact, total income per dollar of available funds

dollar of funds. Expenses per dollar of available

declined as the bank size category increased, w ith

funds were even lower fo r the Class 3 bank in

the partial exception of 1969.) Rather, this higher

1966 and 1967 than fo r the Class 2 bank, but this

ranking of the Class 2 bank was due to substan­

advantage was inadequate to compensate fo r lower

6




APRIL 1971
income per dollar of available funds. Rapidly rising

In order to translate comparative balance sheets

costs at the Class 3 bank in 1968 and 1969

into an explanation of why gross income per dollar

partially offset the relative gains in income per

of available funds declined as bank size increased,

dollar of available funds, so that this bank group

it is necessary to know the yields on the various

continued to lag behind the net earnings perfor­

asset categories.

mance o f the smaller bank groups.

Gross Yields on Portfolio Assets. Table III

In order to see why revenues and costs behaved

contains average gross and net yield data fo r the

as they did fo r the three bank groups, it is

portfolio assets held by the three bank groups for

necessary to examine their asset and liability

the period 1966 through 1969. By a wide margin,

characteristics.

instalment loans had the highest average gross
yield of any item in the bank portfolios. The gross

ASSET CHARACTERISTICS

yields on commercial and agricultural loans, real

The balance sheets of the three categories of

estate mortgages, and investments followed in

FCA banks fo r the period 1966-1969 show some

descending order for all bank classes—
except in

rather persistent differences (see Table II). The

1969,

dollar volume o f cash and balances due from banks

exceeded the gross return on real estate loans.

when

the

gross

yield

on

investments

(as a percent o f total assets) consistently increased

It is important to note that gross yields on all

w ith bank size, while holdings of U. S. Govern­

asset categories did not consistently decline as

ment securities declined. In each year, the Class 2

bank size increased (see Table III). The decline in

bank allocated a larger share of its portfolio to

gross income per dollar of available funds asso­

tax-exempt obligations than the other two groups.

ciated w ith increasing bank size can be explained

Real estate and instalment loans made up a smaller

in terms of a portfolio composition effect. There

proportion of total assets at larger banks than at

are heavier concentrations of high-income instal­

the Class 1 banks, and commercial and agricultural

ment loans in the higher yield portfolios and of

loans increased in importance with average bank

cash and commercial and agricultural loans in the

size. Overall, the Class 3 and Class 2 banks held

lower yield portfolios.

higher proportions of cash and balances due and

Operating Cost and Net Yields on Portfolio

specialized more in commercial loans4 than the

Assets. In addition to gross rates of return on

Class 1 bank. The Class 2 and Class 1 banks

various assets, Table III also shows the effect of

allocated a larger proportion of funds to instal­

operating costs in making and servicing various

ment and real estate loans and U. S. Government

loans and investments. These costs constitute a

securities than the Class 3 bank.

portion of the total available funds expense shown
in Table I; the cost of money is not included in

4 ln

1969, agricultural

loans constituted

less than

2

Table III. Since the FCA approach charges each

percent of the volume of total commercial and agricul­

lending function the same cost of money rate, the

tural loans at FCA banks with deposits over $200 million.

omission of this cost does not affect the relative

For

net yield on different assets. In addition, cost of

the

Class

amounted
commercial

to

1 bank,
over

and

10

however, agricultural
percent

agricultural

of

loans.

the

F unctional

Analysis N ational Average Reports, 1969, p. A17.




loans

volume

of

Cost

money is more appropriately discussed in connec­
tion w ith its source: liab ility structure and cost.
7

ECONOMIC REVIEW

TABLE II
Percentage Distribution of Assets
Averaged fo r Banks in Three Size Categories
1966-1969
Banks With
Deposits up to
$50 Million

Banks With
Deposits $50
Million to
$200 Million

Banks With
Deposits Over
$200 Million

(Class 1)

(Class 2)

(Class 3)

1966
Cash and due from banks
U. S. securities
Tax-exempt obligations
Real estate mortgage loans
Instalment loans
Commercial and agricultural loans
Other

12.03%
19.49
12.06
17.50
12.35
19.99
6.58

13.19%
15.74
13.22
15.18
12.07
24.35
6.25

16.63%
10.56
11.02
13.83
8.62
32.96
6.38

11.73
18.06
12.70
17.38
12.49
7.52

13.17
15.26
14.03
15.52
11.40
23.51
7.11

16.17
11.38
12.15
13.83
8.51
30.91
7.05

11.27
17.28
13.43
17.89
12.33
19.82
7.98

12.97
14.76
15.01
16.18
11.61
22.34
7.13

15.44
11.15
13.30
15.12
9.21
28.88
6.90

11.35
14.77
14.07
18.37
12.94
20.18
8.32

12.76

15.46
8.82
13.02
15.57
9.70
30.60
6.83

1967
Cash and due from banks
U. S. securities
Tax-exempt obligations
Real estate mortgage loans
Instalment loans
Commercial and agricultural loans
Other

20.12

1968
Cash and due from banks
U. S. securities
Tax-exempt obligations
Real estate mortgage loans
Instalment loans
Commercial and agricultural loans
Other
1969
Cash and due from banks
U. S. securities
Tax-exempt obligations
Real estate mortgage loans
Instalment loans
Commercial and agricultural loans
Other

NOTE: Other includes such items as other bonds and stocks, Federal funds sold,
commercial paper, brokers' loans, bankers' acceptances, and bank
premises and real estate.
Source: F unctional Cost Analysis N ational Average Reports

8




12.68
15.57
17.02
12.16
22.84
6.97

APRIL 1971
TA B L E III
Gross Yields, Operating Costs and Net Yields on P ortfolio Assets
Averaged for Banks in Three Size Categories

(percent per annum)
1966-1969
Banks With
Deposits up to
$50 Million

Banks With
Deposits $50
Million to
$200 Million

(Class 1)

(Class 2)

(Class ;

4.79%
0.15
4.64

4.93%
0.12
4.81

5.26%
0.13
5.13

5.80
0.80
5.00

5.77
0.69
5.08

5.88
0.63
5.25

9.49
3.08
6.41

9.16
3.15
6.01

8.84
3.27
5.57

6.03
1.29
4.74

5.91
0.99
4.92

5.91
0.68
5.23

5.03
0.13
4.90

5.14
0.10
5.04

5.40
0.12
5.28

5.96
0.79
5.17

5.95
0.69
5.26

6.12
0.71
5.41

9.81
3.20
6.61

9.51
3.39
6.12

9.51
3.66
5.85

6.33
1.30
5.03

6.17
1.03
5.14

6.19
0.72
5.47

5.78
0.13
5.65

5.99
0.11
5.88

6.23
0.12
6.11

6.12
0.73
5.39

6.13
0.62
5.51

6.3 6
0.62
5.74

9.99
3.15
6.84

9.72
3.33
6.39

10.03
3.92
6.11

6.63
1.26
5.37

6.62
1.03
5.59

6.75
0.80
5.95

6.67
0.15
6.52

6.75
0.12
6.63

7.05
0.16
6.89

6.37
0.71
5.66

6.32
0.63
5.69

6.64
0.67
5.97

10.21
3.35
6.86

9.99
3.64
6.35

10.49
4.08
6.41

7.39
1.31
6.08

7.66
1.08
6.58

7.95
0.84
7.11

Banks W ith
Deposits Over
$200 Million

1966
Investments
Gross yield
Operating cost
Net yield
Real estate mortgage loans
Gross yield
Operating cost
Net yield
Instalment loans
Gross yield
Operating cost
Net yield
Commercial and agricultural loans
Gross yields
Operating cost
Net yield
1967
Investments
Gross yield
Operating cost
Net yield
Real estate mortgages
Gross yield
Operating cost
Net yield
Instalment loans
Gross yield
Operating cost
Net yield
Commercial and agricultural loans
Gross yield
Operating cost
Net yield
1968
Investments
Gross yield
Operating cost
Net yield
Real estate mortgage loans
Gross yield
Operating cost
Net yield
Instalment loans
Gross yield
Operating cost
Net yield
Commercial and agricultural loans
Gross yield
Operating cost
Net yield
1969
Investments
Gross yield
Operating cost
Net yield
Real estate mortgage loans
Gross yield
Operating cost
Net yield
Instalment loans
Gross yield
Operating cost
Net yield
Commercial and agricultural loans
Gross yield
Operating cost
Net yield

N O TE: Operating cost does not include the cost of money and thus is not
equivalent to total functional expense.
Source: F u n ctio n a l Cost A nalysis N ational Average Reports




9

ECONOMIC REVIEW

TABLE IV
Ranking of Asset Categories Based on Average Net Yields
Earned by Banks in Three Size Categories
1966-1969
1966

1967

1968

1969

Banks With Deposits up to $50 Million (Class 1)
I
II
III

IV

instalment loans
real estate loans
commercial and
agricultural loans
investments

instalment loans
real estate loans
commercial and
agricultural loans
investments

instalment loans
investments
real estate loans
commercial and
agricultural loans

instalment loans
investments
commercial and
agricultural loans
real estate loans

Banks With Deposits of $50 to $200 Million (Class 2)
I instalment loans
real estate loans

II

III commercial and
agricultural loans
IV investments

instalment loans
real estate loans

instalment loans
investments

commercial and
agricultural loans
investments

commercial and
agricultural loans
real estate loans

investments
commercial and
agricultural loans
instalment loans
real estate loans

Banks With Deposits Over $200 Million (Class 3)
I instalment loans
II

real estate loans

III commercial and
agricultural loans
IV investments

instalment loans

instalment loans*

commercial and
agricultural loans
real estate loans

investments*

investments

commercial and
agricultural loans
real estate loans

commercial and
agricultural loans
investments
instalment loans
real estate loans

* In 1968, instalment loans and investments had the same average net yield for
C(ass 3 banks.
Source: F unctional Cost Analysis National Average Reports

It is interesting to note that assets w ith the

banks.5 The Class 1 bank, however, reported the

highest gross rates of return generally tended to

lowest cost per dollar of instalment loans. Simi­

have the highest operating costs. As a result, the

larly, the average operating costs for real estate

range of average yields, net of operating costs, was

loans and investments were less fo r the Class 2

much smaller than the range of average gross

bank than fo r the Class 1 bank. The cost of real

yields. The operating costs associated w ith various

estate loans was about the same fo r the Class 3
5

lending activities were obviously not the same for
each bank class. For example, the average per
dollar cost of making and servicing commercial

It should be remembered that if the average cost of some

process is found to vary with firm size, this does not
necessarily mean that the high cost firms are poorly
managed. It may mean only that different size firms are

and agricultural loans was much lower for the

necessarily faced with differences in, for example, the

Class 3 bank than fo r the Class 1 or Class 2

cost of inputs or the technique of production.

10



APRIL 1971
bank as fo r the Class 2 bank, but the cost of
investments was slightly higher for Class 3 than for
Class 2.

L IA B IL IT Y CHARACTERISTICS
AND THE COST OF MONEY
During

1966-1969,

persistent differences in

liability structure by bank size category existed, as
A fter subtracting costs of operation, instalment

was the case w ith the asset side of the balance

loans still had the highest average yield for all bank

sheet (see Table V). Specifically, the liabilities of

categories during 1966-1968. This is shown in

the Class 2 bank included a higher proportion of

Table III and is emphasized in Table IV, which

regular savings accounts and a slightly larger

ranks asset categories on the basis of average net

percentage of demand deposits than either the

yields earned by each bank class. In 1969, instal­

Class 1 or Class 3 banks. Until 1969, the liabilities

ment loans continued to have the highest net yield

of the Class 2 bank also contained the smallest

for the Class 1 bank, but investments rose to first

proportion of certificates of deposit (CDs) and

place for the Class 2 bank. The highest net yield

"other time deposits.”

earned by the Class 3 bank in that year was on

percent of total liabilities, were about the same at

commercial and agricultural loans.

the Class 2 and Class 3 banks, but borrowings

In that year, CDs, as a

(including Federal funds purchased) at the Class 3
To summarize, net earnings per dollar of avail­
able funds were highest fo r the Class 2 bank and

bank were over three times as high as the
proportion of borrowings at the Class 2 bank.

lowest fo r the Class 3 bank during 1966-1969.
This behavior of net earnings reflects differences in

As shown by Table V I, demand deposits had the

gross income and bank costs at the three banks.

lowest

Gross income per dollar of available funds tended

Following demand deposits, in ascending order of

average

cost

of

all

bank

liabilities.

to vary inversely w ith bank size, while total bank

cost, were regular savings accounts, certificates of

costs declined more than bank income from the

deposits and other time deposits, and borrowings

smallest to the intermediate size bank. From the

(except that in 1967, borrowings were unusually

intermediate to the largest bank, total expenses

low in price). Thus, the unique liability structure

per dollar of available funds either declined less

of the Class 2 bank means that this bank was in

than revenue or actually increased. The decrease in

the advantageous position of paying less for funds

reported gross income associated with increasing

than other banks—not because it was always able

bank size appears to be due to differences in

to issue any given liab ility fo r less, but because its

portfolio composition.

liabilities were more heavily concentrated in low
average cost categories.

Asset and yield data, however, are inadequate to
explain

why

total

average

expense

initially

An interesting question is why this bank had
such

a relatively

desirable liab ility

structure.

Unfortunately, the FCA data do not provide a

declined so sharply and hence why earnings per
dollar of available funds were at a peak fo r the

well-defined answer, but rather are consistent w ith

Class 2 bank. For this explanation, it is necessary

a number of possibilities. Whatever the cause,

to broaden the discussion tP include the cost of

however, the consequence of the Class 2 liability

money, which involves liability structure and cost.

structure for the cost of money is unequivocal. As




11

ECONOMIC REVIEW
TABLE V
Distribution of Selected Liabilities
Averaged fo r Banks in Three Size Categories
(percent of total liabilities and capital)
1966-1969

Banks With
Deposits up to
$50 Million

Banks With
Deposits $50
Million to
$200 Million

Banks With
Deposits Over
$200 Million

(Class 1)

(Class 2)

(Class 3)

45.63%
28.60

47.39%
29.61

46.87%
24.73

15.36

11.72

14.46

1.09

1.83

4.45

43.95
26.77

45.69
28.09

45.47
23.27

19.17

15.40

18.51

1.03

1.65

3.32

42.00
25.63

43.89
26.72

43.47
23.47

22.41

18.57

20.33

1.14

1.82

3.90

41.12
23.56

42.65
25.32

41.83
21.57

24.97

20.60

20.30

1.42

2.37

7.66

1966
Demand deposits
Regular savings accounts
Certificates of deposit and
other time deposits
Borrowings and other
liabilities
1967
Demand deposits
Regular savings accounts
Certificates of deposit and
other time deposits
Borrowings and other
liabilities
1968
Demand deposits
Regular savings accounts
Certificates of deposit and
other time deposits
Borrowings and other
liabilities
1969
Demand deposits
Regular savings accounts
Certificates of deposit and
other time deposits
Borrowings and other
liabilities

Source: Functional Cost Analysis National Average Reports

Table V II shows, the Class 2 bank had the lowest

While the overall cost of money was the lowest

cost of money in each year.

at the Class 2 bank in 1966-1969, the behavior of

®The cost of money figures shown in Table V II are

the components of operating cost—processing and

affected not only by liability structure but also by the

administrative costs—
in the demand and time

cost and volume of capital funds at each bank. The capital

deposit functions was sufficiently complex and

funds function, in this paper, is treated only in part; i.e.,
the "borrowings” portion. A complete discussion was
omitted in the interest of brevity and because of the
difficulty of obtaining comparable cost figures on liabil­

revealing to warrant detailed examination.
The Demand Deposit Function. In 1966-1967,

ities and equity capital. For example, the FCA program

demand deposit cost per dollar of demand deposits

does not include dividend payments in the cost of equity.

was lowest at the Class 3 bank and highest at the

12



APRIL 1971
TABLE VI
Total Operating and Interest Cost (Less A ctivity Charges) for Selected Liabilities
Averaged fo r Banks in Three Size Categories
(percent per annum)
Banks With
1966-1969
Banks With
Deposits up to
$50 Million

Deposits $50
Million to
$200 Million

Banks With
Deposits Over
$200 Million

(Class 1)

(Class 2)

(Class 3)

1.47%
3.98

1.33%
4.16

1.25%
4.42

4.14

4.32

4.75

5.10

5.10

5.10

1.57
4.13

1.42
4.24

1.39
4.47

4.45

4.62

4.83

4.37

4.23

4.44

1.74
4.22

1.56
4.34

1.53
4.52

4.79

4.93

5.17

5.49

5.57

6.82

1.76
4.49

1.61
4.59

1.73
4.64

5.06

5.14

5.50

7.62

7.77

9.55

1966
Demand deposits
Regular savings accounts
Certificates of deposit and
other time deposits
Borrowings and other
liabilities*
1967
Demand deposits
Regular savings accounts
Certificates of deposit and
other time deposits
Borrowings and other
liabilities
1968
Demand deposits
Regular savings accounts
Certificates of deposit and
other time deposits
Borrowings and other
liabilities
1969
Demand deposits
Regular savings accounts
Certificates of deposit and
other time deposits
Borrowings and other
liabilities

NOTE: Average cost of borrowings and other liabilities do not include operating
expenses.
* Cost of borrowings for 1966 are not strictly comparable with figures for later
years.
Source: F unctional Cost Analysis N ational Average Reports

Class 1 bank (Table V III). The Class 3 bank,

Another interesting aspect of the data in Table

however, experienced more rapidly rising costs

V III

than the other bank groups; and this advantage

substantial economies of scale in the use of tellers,

eroded to the point that, in 1969, the Class 2 bank

but diseconomies in the use of other support

had the lowest cost per dollar of demand deposits.

personnel in the demand deposit function at the




is an indication

of what appear to be

13

ECONOMIC REVIEW
TABLE VII
Cost of Money*
Averaged for Banks in Three Size Categories
(percent per annum)
1966-1969
1966
Deposits up to $50 million (Class 1)
Deposits $ 5 0 —$200 million (Class 2)
Deposits over $200 million (Class 3)

1967

1968

1969

2.67%
2.58
2.69

2.88%
2.76
2.84

3.14%
3.00
3.15

3.37%
3.26
3.58

* The cost of money is computed by summingthe operating and interest costs of
all funds-supplying functions less any service charge or other fee income and
dividing by the quantity of available funds.
Source: F unctional Cost Analysis N ational Average Reports

Class 3 bank. The larger the bank, the lower the

debits ("on us" checks) and accounts per non­

expense was for teller salaries per dollar of demand

teller employee in the demand deposit function

deposits; but wages, other than for tellers, per

decreased.

dollar of demand deposits were lowest for the

support

Class 2 bank

economies

rather than the Class 3 bank.

Nevertheless,

activities

were

elsewhere.

any

diseconomies

insufficient
As

has

to

already

in

offset
been

Moreover, since 1966, the Class 1 bank had

observed, when measured in terms of cost per

incurred significantly lower expenses than the

dollar of demand deposits, the Class 3 and Class 2

Class 3 bank for these "backroom '' wages per

banks had lower overall demand deposit costs than

dollar

the Class 1 bank.

of

demand

deposits. Other processing

expense (which includes furniture and equipment,

Cost per dollar of demand deposits, however, is

computer, stationery and supply charges) was

not the only measure of cost performance. For

consistently lowest per dollar of deposits fo r the

example, a different picture emerges from an

Class 3 bank. The Class 2 and Class 3 banks—but

examination of the cost of a unit of deposit

never the Class 1 bank—had at various times during

activity in checking accounts, such as cashing a

the four-year period the lowest administrative and

check or accepting a deposit. As Table X shows,

overhead cost per dollar of deposits. As a result,

the per unit cost of every demand deposit activity,

the Class 2 and Class 3 banks had lower total

as well as the annual maintenance charge per

demand deposits costs per dollar of deposits than

account, increased directly w ith bank size. More­

the Class 1 bank.
One measure of the productivity of tellers and
other demand deposit employees at the three

over, the cost difference between bank classes—
and the cost advantage of the Class 1 b a n k increased from 1966 through 1969.

banks is shown in Table IX. A teller at the Class 3

Class 2 and Class 3 banks were able to achieve

bank handled more deposits per day than his

lower costs per dollar of checking account volume

counterpart at the Class 2 or Class 1 bank and

(Table V III) —in spite of higher costs per unit of

cashed as many checks. On the other hand, as the

deposit activity as shown in Table X. This appears

bank size increased, the number of daily home

to be due principally to the fact that deposit

14



APRIL 1971
TABLE V III
Demand Deposit Expense
Averaged fo r Banks in Three Size Categories
(dollars per $1,000 o f demand deposits)
1966-1969
Banks With
Deposits up to
$50 Million

Banks With
Deposits $50
Million to
$200 Million

Banks With
Deposits Over
$200 Million

(Class 1)

(Class 2)

(Class 3)

1966
Teller salaries
Transit and bookkeeping wages
Total processing wages
Other processing expense
Administration and overhead
Total expense

& 3.44
4.19

$ 2.36
5.05

9.74

7.63

6.86

6.86

$ 4.66
5.08

6.45

5.58

7.41
5.28
5.71

23.05

20.07

18.40

4.47
5.58

3.21
4.66

2.31
6.03

10.05
7.50
6.91

7.87
7.25
6.07

8.34
5.98
5.71

24.46

21.19

20.03

4.69
5.36

3.41
4.81

2.69
6.06

10.05
8.14
7.87

8.22
7.49
6.73

8.75
6.90
6.75

26.06

22.44

22.40

4.96
5.48

3.68
4.92

2.85
6.98

10.44
8.75
7.42

8.60
8.05

6.88

9.83
7.71
7.18

26.61

23.53

24.72

1967
Teller salaries
Transit and bookkeeping wages
Total processing wages
Other processing expense
Administration and overhead
Total expense
1968
Teller salaries
Transit and bookkeeping wages
Total processing wages
Other processing expense
Administration and overhead
Total expense
1969
Teller salaries
Transit and bookkeeping wages
Total processing wages
Other processing expense
Administration and overhead
Total expense

Source: F unctional Cost Analysis N ational Average Reports

activity did not rise in proportion to the dollar

Class 1 bank)7 contributed to this lower per dollar

volume o f deposits. The average size of checking

cost; maintenance expense was spread over a larger

accounts at the Class 3 bank ($3,918 in regular

7 Functional

checking accounts in 1969 versus $1,960 for the

1969, p. A8.




Cost Analysis N ational Average Report,

15

ECONOMIC REVIEW
TABLE IX
Output of Employees in the Demand Deposit Function
Averaged fo r Banks in Three Size Categories
1966-1969
Banks With
Deposits up to
$50 Million

Banks With
Deposits $50
Million to
$200 Million

Banks With
Deposits Over
$200 Million

(Class 1)

(Class 2)

(Class 3)

71
84
317
420

71
73
298
335

87
83
246
238

76

96

322
423

79
84
286
325

233
232

75
78
358
459

78
76
303
340

91
80
245
256

75
77
381
480

79
79
325
365

89
80
234
245

1966
Daily deposits per teller
Daily checks cashed per teller
Daily home debits per trans-bookkeeper*
Accounts per trans-bookkeeper
1967
Daily deposits per teller
Daily checks cashed per teller
Daily home debits per trans-bookkeeper
Accounts per trans-bookkeeper

86

t

1968
Daily deposits per teller
Daily checks cashed per teller
Daily home debits per trans-bookkeeper
Accounts per trans-bookkeeper
1969
Daily deposits per teller
Daily checks cashed per teller
Daily home debits per trans-bookkeeper
Accounts per trans-bookkeeper

* Trans-bookkeeper is an abbreviation for all demand deposit employees other
than tellers.
t Unavailable. The published figure is incorrect.
Source: F unctional Cost Analysis N ational Average Reports

dollar volume.

Account activity

(measured in

from the FCA studies indicate that larger size does

terms of weighted home debits, deposits, and

not necessarily imply lower cost. Whether or not

transit checks) per dollar of checking accounts also

average cost rises or falls from one bank size

declined as deposit volume rose. These effects are

category to another depends on the measure of

summarized in Table XI in terms of the number of

output.

activity weight units (including annual mainte­
nance) per dollar of checking account funds for

The Time Deposit Function. Differences in the

the three bank groups. The sharp decrease in

operation of the time deposit function by bank

activity per dollar of checking account funds as

size were similar to those differences observed in

bank size increased is quite apparent.

the operation of the demand deposit function. The

The data regarding the demand deposit function
16



Class 3 bank had the lowest cost in terms of

APRIL 1971
TABLE X
Costs o f Demand Deposit A ctivity and Maintenance
Averaged for Banks in Three Size Categories
(cents per item)

1966-1969
Banks With
Deposits up to
$50 Million

Banks With
Deposits $50
Million to
$200 Million

Banks With
Deposits Over
$200 Million

(Class!)

(Class 2)

(Class 3)

1966
Home debit
Deposit
Transit check*
Regular checking account—annual
maintenancet
Special checking account—
annual
maintenance

6.27 C
8.77
2.30

6.64C
9.29
2.43

1,657.73

1,755.54

1,807.00

552.52

1,023.95

1,053.97

6.89
9.65
2.53

7.34
10.26
2.69

7.92
11.09
2.90

1,823.45

1,939.91

2,095.41

607.75

1,131.49

1,396.78

7.32
10.25
2.68

8.00
11.20
2.93

8.46
11.84
3.10

1,936.98

2,117.04

2,238.39

645.59

1,411.20

1,492.10

7.47
10.46
2.74

8.24
11.53
3.02

9.88
13.83
3.62

1,976.42

2,179.83

2,614.25

658.74

1,089.79

1,742.64

6.83C
9.56
2.50

1967
Home debit
Deposit
Transit check
Regular checking account—
annual
maintenance
Special checking account—annual
maintenance
1968
Home debit
Deposit
Transit check
Regular checking account—
annual
maintenance
Special checking account—
annual
maintenance
1969
Home debit
Deposit
Transit check
Regular checking account—
annual
maintenance
Special checking account—
annual
maintenance

NOTE: Home debits include all "on us” checks plus all charges against checking
accounts.
* Transit checks is a term covering all outgoing clearing items,
t Annual maintenance cost is the average cost to the bank of servicing a deposit,
even if the deposit is inactive.
Source: F unctional Cost Analysis National Average Reports




17

ECONOMIC REVIEW

TABLE XI
Weighted A ctivity Units* Per $1.00 of Checking Account Funds
Averaged fo r Banks in Three Size Categories
1966-1969
1966
Deposits up to $50 million (Class 1)
Deposits $ 50—$200 million (Class 2)
Deposits over $200 million (Class 3)

1967

1968

1969

.935
.746
.634

.919
.732
.627

.920
.721
.657

.926
.739
.634

* One weight unit equals the activity (cost) required to process one transit check.
Since every activity involves a cost, the cost of any given activity may be
expressed as a multiple of the cost of any other activity. FCA uses the cost of a
transit check as the standard unit.
Source: F unctional Cost Analysis N ational Average Reports

TABLE X II
Operating Cost of Time Deposits
Averaged fo r Banks in Three Size Categories
(cost in dollars per $1,000 o f time deposits)
1966-1969
Banks With
Deposits up to
$50 Million

Banks With
Deposits $50
Million to
$200 Million

Banks With
Deposits Over
$200 Million

(Class 1)

(Class 2)

(Class 3)

$2.23
2.23

$2.33
2.23

$2.08
1.99

4.46

4.56

4.07

2.26
2.27

2.37
2.17

2.30
1.73

4.53

4.54

4.03

2.29

2.10

2.46
2.08

2.27
1.89

4.39

4.54

4.16

2.58
2.54

2.77
2.60

2.64
2.15

5.12

5.37

4.79

1966
Processing expense
Administration and overhead expense
Total operating expense
1967
Processing expense
Administration and overhead expense
Total operating expense
1968
Processing expense
Administration and overhead expense
Total operating expense
1969
Processing expense
Administration and overhead expense
Total operating expense

Source: F unctional Cost Analysis N ational Average Reports

18




APRIL 1971
TABLE X III
Cost of Time Deposit A ctivity
Averaged fo r Banks in Three Size Categories
(cents per transaction)
1966-1969
Banks With
Deposits up to
$50 Million

Banks With
Deposits $50
Million to
$200 Million

Banks With
Deposits Over
$200 Million

(Class 1:

(Class 2)

(Class 3)

5 6 .10 0
61.71
173.91

56.69 <
?
62.36
175.74

72.67 C
79.94
225.28

63.07
69.37
195.51

60.53
66.59
187.65

74.42
81.86
230.70

66.79
73.47
207.06

64.59
71.05

200.22

72.66
79.93
225.25

76.71
84.38
237.79

78.82
86.70
244.34

85.01
93.51
263.54

1966
Deposit
Withdrawal
Account opened
1967
Deposit
Withdrawal
Account opened
1968
Deposit
Withdrawal
Account opened
1969
Deposit
Withdrawal
Account opened

Source: F unctional Cost Analysis N ational Average Reports

operating expense per dollar of time deposits
(Table

X II).

Costs per unit of time deposit

activity, however, tell a different story. As Table

BANK SIZE AND PERSONNEL
EXPENDITURE
The

FCA study also compiles and reports

XI11 shows, the Class 1 and Class 2 banks had the

average data on the number of and expenditure for

lowest average cost per transaction unit over the

total personnel for the three bank classes. Much of

four-year period. The Class 3 bank consistently

this information is summarized in Table X IV . The

had the highest per unit cost fo r time deposit

top panel in the Table indicates that the Class 3

activity, just as it had the highest per unit activity

bank was able to operate w ith fewer employees

cost in the demand deposit function. Again, the

per dollar of available funds. This situation is often

Class 3 bank was able to achieve low adminis­

attributed to increased specialization of labor at

trative and processing costs per dollar of time

larger banks, which results in higher overall output

deposits chiefly because deposit activity did not

per employee. As noted in the previous two

increase in proportion to deposit volume.

sections, however, it may also be attributed to the




19

ECONOMIC REVIEW
TABLE X IV
Personnel Use and Cost
Averaged fo r Banks in Three Size Categories
1966-1969
1967

1966

1968

1969

Number of employees per $1,000,000 of available funds
2.10

2.02

1.86

Deposits up to $50 million (Class 1)
Deposits $ 50—$200 million (Class 2)
Deposits over $200 million (Class 3)

1.79
1.59

1.53

1.86
1.67
1.58

1.83
1.69
1.57

$ 5.92
5.97
6.35

6.27
6.81

Annual personnel expense per employee ($1,000 of dollars)
Deposits up to $50 million (Class 1)
Deposits $ 5 0 —$200 million (Class 2)
Deposits over $200 million (Class 3)

$ 5.28
5.35
5.72

$ 5.58
5.64

6.02

6.22

Annual personnel expense in dollars per $1,000 of available funds
Deposits up to $50 million (Class 1)
Deposits $ 5 0 —$200 million (Class 2)
Deposits over $200 million (Class 3)

$ 11.01

$11.27
10.10
9.57

$11.09
9.95
8.75

$11.38
10.60
10.69

9.97
10.03

Personnel expense as a percent of gross income on available funds
Deposits up to $50 million (Class 1)
Deposits $ 50—$200 million (Class 2)
Deposits over $200 million

21.03%
19.48
17.76

20.49%
19.19
18.65

19.23%
18.06
18.01

18.28%
17.46
17.16

Source: F unctional Cost Analysis N ational Average Reports

fact that there was less to be done (account

bank widened during this period of generally

activity was less) per dollar of available funds at

increasing personnel cost.

the Class 3 bank; therefore, fewer personnel were

The net effect of the changing relative produc­

required to process a dollar of funds. During

tiv ity and remuneration at the various banks on

1966-1969, the Class 1 and Class 2 banks had

personnel expense per dollar of available funds is

considerable success in reducing the number of

shown in the third panel of Table X IV . Because of

employees

In

productivity gains at the Class 1 and Class 2 banks

contrast, the ratio of employees to available funds

and larger increases in wages and salaries at the

at the Class 3 bank was practically unchanged

Class 3 bank, the Class 2 bank replaced the Class 3

per

dollar

of

available funds.

from 1967 through 1969.
The second panel in Table XIV reveals that the
Class 3 bank

had higher personnel cost per

bank w ith the lowest personnel expense per dollar
of available funds. As the bottom panel shows,
however,

personnel

expenditure

remained

a

employee than the Class 2 and Class 3 banks. It is

smaller percentage of gross income for the Class 3

also apparent that expense per employee at the

bank than fo r the other two bank groups.

Class 3 bank increased more over the 1966-1969
period than personnel expense in the other bank

A U X IL IA R Y SERVICE FUNCTIONS

groups. The gap between personnel expense per

Three specific service functions are analyzed in

employee at the Class 3 bank and at the Class 1

the functional cost study—
computer services, trust

20




APRIL 1971
TABLE XV
Losses in Auxiliary Bank Service Departments
Averaged fo r Banks in Three Size Categories
(percent of departmental expense)
1966-1969
1966

1967

1968

1969

15.97%
11.51
8.89

13.29%
13.97
10.11

12.51%
13.27
6.11

20.28
9.55
(9.46)

24.18
11.78
(1.59)

27.37
12.24
(1.66)

29.89
17.91
1.92

35.84
37.21
34.35

27.58
32.34
25.44

26.41
30.00
32.70

38.66
39.57
37.57

Computer service department
Deposits up to $50 million (Class 1)
Deposits $50—$200 million (Class 2)
Deposits over $200 million (Class 3)

9.67%
9.87
6.61

Trust department
Deposits up to $50 million (Class 1)
Deposits $50—$200 million (Class 2)
Deposits over $200 million (Class 3)
Safe deposit department
Deposits up to $50 million (Class 1)
Deposits $ 50—$200 million (Class 2)
Deposits over $200 million (Class 3)

NOTE: Profits are in brackets; losses are unbracketed.
Source: F unctional Cost Analysis N ational Average Reports

operations, and safe deposit. Table XV shows that,

SUMMARY

except for the trust department operations of the

This survey of the published FCA bank data for

Class 3 bank, these departments were operated at a

the years 1966-1969 has indicated pronounced

loss throughout the period. The fact that these

differences in the functional revenue and cost

services appear to be provided at a loss does not

flows of the different size banks. Using earnings

necessarily mean that FCA banks would be well

per dollar o f available funds as the criterion, the

advised

service

Class 2 bank consistently achieved the highest

departments are maintained because they generate

to

eliminate

them.

Auxiliary

overall performance, and the Class 3 bank just as

funds and profitable business in other bank depart­

consistently ranked third. The overall superiority

ments. Strictly speaking, all of these losses should,

of the Class 2 bank over the Class 1 bank was due

therefore, be allocated as expense items to those

to substantially lower cost per dollar of available

departments that benefit from the presence of

funds. This more than compensated for the lower

auxiliary service functions in the bank.

O

Such an

gross yield received by the Class 2 bank. The

allocation, however, is not feasible.

relatively inferior performance of the Class 3 bank

0

was

Expenses for computer services performed for specific

due

to

an

unfortunate combination

of

bank functions are allocated to those functions; the

generally lower income and insufficient offsetting

remaining auxiliary service expenses are not allocated.

cost economies.




21

ECONOMIC REVIEW

Differences in asset structure and yield by bank

(except for demand deposits in 1969); but in

size categories were also noted. Specifically, larger

terms of cost per unit of deposit activity, the Class

banks were found to hold higher proportions of

3 bank had the highest cost record. These results

cash and commercial and agricultural loans, while

can be reconciled by the fact that as deposit

the smaller banks' portfolios on average contained

volume grows, deposit activity increases less than

heavier concentrations o f instalment and real

in proportion to deposit volume.

estate loans and U. S. Government securities.

During the period under review,. because of
productivity gains at the Class 1 and Class 2 banks

The liability structure and cost was also seen to

and more rapidly rising labor cost at the Class 3

vary considerably w ith bank size. The Class 2

bank, the Class 2 bank replaced the Class 3 bank in

bank, in particular, was the beneficiary of a

having the lowest personnel expense per dollar of

liability composition that was weighted towards

available funds.

low average cost items. Substantial differences

Generally, a conclusion that may be drawn from

were also found in the cost of producing and

the FCA data is that, during 1966-1969, bank size

maintaining demand and time deposit liabilities.

did make a difference in functional costs and

Viewed in terms of operating cost per dollar of

revenues, and this difference did not always favor

deposits, the Class 3 bank achieved the lowest cost

the largest banks.

22



The

1970 Functional Cost Analysis National Average

Report w ill be available in June 1971 from the Bank
Relations and Public Information
Reserve Bank of Cleveland.

Department, Federal

APRIL 1971

RECENTLY PUBLISHED ECONOMIC COMMENTARIES
OF THE FEDERAL RESERVE BANK OF CLEVELAND

"A Note on the Bank Holding Company Act Amendments of 1970"
March 22, 1971
"Some Aspects of the Auto Recovery"
March 29, 1971
"Bank Holdings of Municipal Obligations (Fourth D istrict)"
April 5, 1971
"U nited States International Trade in Agricultural Products"
April 12, 1971
" A Note on the Current Economic S ituation"
April 19, 1971

Economic Commentary is published weekly and is available w ithout charge. Requests to be added to
the mailing list or fo r additional copies of any issue should be sent to the Research Department,
Federal Reserve Bank of Cleveland, P. 0 . Box 6387, Cleveland, Ohio 44101.



23