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        <title>The financial productivity of public utility companies</title>
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        <pb n="1" />
        UNIVERSITY OF ILLINOIS BULLETIN
Issuer WEEKLY
XXIV SepreEmBER 14, 1926 No. 2
[Entered as seeond-class matter, December 11, 1912, at the post office at Urbana, Illinois,
under the Act of August 24, 1912. Acceptance for mailing at the special rate of postage
provided for in section 1103, Act of October 3, 1917, and authorized July 31, 1918.]
BUREAU OF BUSINESS RESEARCH
COLLEGE OF COMMERCE AND BUSINESS
ADMINISTRATION
BULLETIN NO. 10
THE PRODUCTIVITY RATIOS
OF PUBLIC UTILITY
COMPANIES
PUBLISHED BY THE UNIVERSITY OF ILLINOIS, URBANA
1926
        <pb n="2" />
        It is the purpose of the Bureau of Business
Research of the University of Illinois—

(1) to study and as far as possible to explain
economic and industrial conditions with-
in the State;

(2) to direct attention to experience-tested
practices of good business management;
and,

(3) to investigate methods for securing the
best executivz control of business.
        <pb n="3" />
        BUREAU OF BUSINESS RESEARCH
Cuas. M. Tuomeson, Ph.D., LL.D., Director
A. C. Lrrreeron, AM., C.P.A,, Assistant Director
BULLETIN NO. 10
THE FINANCIAL PRODUCTIVITY "OF
PUBLIC UTILITY COMPANIES
PUBLISHED BY THE UNIVERSITY OF ILLINOIS, URBANA
1926
        <pb n="4" />
        T +
onl 2)

‘ i
.

Lo.
        <pb n="5" />
        PREFACE

In the preface to Bulletin No. 9, the first of this series of studies in
Public Utility ratios, the following statement was made: The useful-
ness of financial ratios depends somewhat upon the opportunity which
individual companies have of comparing their own recent ratios with
other similar ratios as standards. There are two ways in which a
serviceable “standard” for comparison may be obtained. The individual
enterprise may calculate ratios for its business over a sufficiently long
period of time to develop in the minds of its executives an approximate
“standard” for their own enterprise. On the other hand, the attempt
may be made to present a reasonable standard figure for the industry
as a whole so that individuals may compare their own ratios with a
so-called “standard-of-the-industry” ratio.

The Bureau is attempting in these studies to derive reasonable
“standard-of-the-industry” ratios by tabulating data in sufficient quanti-
ties to permit the determination of modal averages, i. e., averages about
which the ratios tend to concentrate. These averages may then be used
as the best available standard ratios.

The modal averages were calculated by an approximation formula.
The formula used is:

I Icx.c
+ f'c + fc
where 1 equals lower limit of the modal group
c equals class interval
fc equals the frequency of the next higher class interval
f'c equals the frequency of the next lower class interval.

To obtain the mode exactly on the basis of given data, arranged as
a frequency distribution, it is necessary to obtain the frequency curve.
The highest ordinate of this curve yields the theoretical mode. It was
felt, however, that for the purposes of this study, the approximated mode
yields a sufficiently accurate figure to indicate characteristic financial
ratios. Determinations of the respective modes by both methods dis-
closed the fact that the approximations yielded results which are quite
close to the more accurately calculated figures.

In the present study two ratios are considered, (1) the ratio of
Gross Revenue to Total Assets, which expresses the productiveness of
the service-producing investment and, (2) the ratio of Gross Revenue
135%
        <pb n="6" />
        to Net Worth, which expresses the number of cents of revenue earned
per dollar of ownership capital and thus gives a picture of the result
of the type of financing. A third ratio is presented in the tables (ratio
of gross revenue to fixed assets) but is not discussed in the text since it
1s so nearly identical with the ratio of revenue to total assets.

The data for each of these two ratios are broken down into sub-
classes for more detailed analysis. In this way an effort is made to
reflect in the tables something of the effect upon the ratio of, (1) geo-
graphical location of the companies, (2) size of company, (3) different
years in the business cycle, and (4) type of operating activity.

Great care has been exercised throughout in standardizing the
figures from the balance sheets used so that the resulting ratios would
be as nearly comparable as possible. This has necessitated in some cases
the elimination of outside investments from the Assets and from Net
Worth. Wherever ratios for an individual company are to be compared
with the averages herein presented, care should be taken to make the
former comparable by likewise excluding outside investments.

Acknowledgement is gratefully made of the helpful criticism and
planning of A. C. Littleton, C.P.A., and of the active assistance of R. D.
Haines, C.P.A. Acknowledgment should be made also to other members
of the Bureau staff for their faithfulness and patience throughout the
tedious process of analyzing these data and of making the many com-
putations which were necessary.

ra

cdl
        <pb n="7" />
        REVENUE
1 THE TOTAL ASSETS RATIO

The term “productivity” is used in the above title to indicate
capacity to produce revenue by the sale of service. For the present
purposes security investments and income from securities have been
eliminated from the financial statements in the process of standardizing
the classification so that the figures used show operating results only.

Two ratios are selected as particularly fitted to picture this revenue
producing capacity. The first one is the ratio of Gross Revenue to
Total Assets and expresses the number of cents of annual gross
revenue per dollar of total assets invested at the end of the year. It
shows the financial productiveness of the service producing (i. e., op-
erating assets) investment. The ratio may be stated in cents per dollar
as, $.164 per $1, or may be cast into the form of a percentage by moving
the decimal point as, 16.4 (i. e., 16% cents per dollar). The latter form
1s the one generally used throughout the bulletin. A relatively large
ratio, such as .18 or .20 for example would indicate that a highly efficient
use of the assets was producing a large return for each dollar invested.
Conversely a low ratio like .02 or .06 would indicate over-investment in
plan or inefficient operating conditions.

The second of the two ratios to be analyzed is the ratio of Gross
Revenue to Net Worth which will be examined in Part II of this bulle-
tin. Tables for a third ratio, Gross Revenue to Fixed Assets are included
in the Appendix for reference, but are not discussed in the text because
these ratios are so nearly like the ratios of revenue to total assets.

In general, the procedure will be to analyze the two ratios sepa-
rately, supporting the analysis by suitable tables in an appendix and
by bar-charts accompanying the text. The tables are constructed to
show “frequency distributions,” that is to say, to show the way the
hundreds of ratios fall into groups. In the charts each vertical bar
represents a ratio-group, as for example, the ratios which fall between
.12 and .16; the length of the bars gives a relative measure of the number
of cases which fall in each group. In order to secure greater ease in
making quantitative comparisons, the number of cases in each ratio-

University of Illinois, Bureau of Business Research Bulletin No. 9—The Current
Ratio in Public Utility Companies contains further notes in regard to the standardiza-
tion of financial statements preliminary to statistical analysis.
{5.9
        <pb n="8" />
        group is reduced to a percentage-of-total basis. This percentage is to
be read in the charts from the figures on the left edge.
THE PRODUCTIVENESS OF TOTAL INVESTMENT
In preparing the ratios here studied the balance sheets of some
two hundred public utility companies were examined for the period
1915-1924. All of these financial statements, regardless of size of com-
pany, location, year or any other factor, yielded 1603 cases for study.
Of these 81 cases could not be reduced to ratios because the amount of
gross revenue was not given in the published statements. There were
43 cases in which the ratios were so high and so scattered above a ratio
of .50 that they are not included in the frequency distribution proper.
Merely to complete the record the following analysis is given of
the 43 cases of unusually high ratios: 29 cases showed ratios between
50 and .69, 9 cases between .70 and .89, and 5 cases of .90 or over.
Practically all of the cases were in either the East or the Middle West
Boreas or Bases RESEARCH
Unepsiry or liiwors-1&amp;
i |
AVERAGE
Moor)
J
AL
0
v i
4 3 Ba
i &amp; ) i E
~ vl — 3
$5300 EE PLGD
SI YR YRN GIL
ratios Lxpressed as Percentages
Cuart la—FreqQuency DistriButioN oF 1479 Ratios or Gross
Revenue To ToraL Assets From 200 Pusric Urinity
Companies, 1915-1924

[61]
        <pb n="9" />
        districts, and over half of them were in the size group 10-49 millions
of assets.

The remaining 1479 cases were sorted into ratio-groups with four
per cent intervals, as, 04-07.9, 08-11.9, 12-15.9, etc. This sort of analysis
permits the determination of the point of concentration, i. e., the group
with the most cases, as well as the distribution or “spread” of the other
cases about this highest frequency group. These data are graphically
illustrated in Chart la; the details are presented in Tables Ia in the
Appendix.

The first thing in the chart which strikes the eye is its general
outline. It rises rather abruptly in the second ratio-group, continues

+ at a fairly uniform high level through five groups and then drops off
rapidly, but regularly to very short bars at the extreme right.

Obviously a very large proportion of the total number of cases lies
within relatively narrow limits. There are five groups which stand out

above all the rest between ratios of .04 and .24. Some few cases showed
less than four cents of revenue per dollar of assets and a few more
showed more than twenty-four cents per dollar, but the greatest bulk
of the cases (78.3 per cent) fell between these limits. Reducing the
spread to the three largest groups, (the longest single bar in the chart
and the next one on each side) shows 50.5 per cent of the cases concen-
trated between .08 and .20. This indicates that slightly over half of the
cases lie within the narrow range of 12 per cent. The group of highest
frequency is 12-15. Here is found almost 20 per cent (19.5) of the total.
The average used in this study (calculated mode) always falls in the
most popular group and in this instance is 14. As far as it is possible
for a single figure to be typical of many ratios in a large group this
ratio of $.14 of revenue per $1 of assets may be said to be typical, or
average, for these 1479 cases.
THE GEOGRAPHICAL DISTRIBUTION

The distributions of the ratios are compared for several geographical
districts? in Table Ib.

The characteristic distribution of the cases in each district is easily
seen in Chart 1b. The total number of cases (1479) falls into districts
as follows:

East Middle West West South

Number of cases.... 701 399 231 148

*See University of Illinois, Bureau of Business Research, Bulletin No. 9 for list of
states included in each district.
E72]
        <pb n="10" />
        Bukeav or Business Pesearch
Univewsirr or likivors=-16
AVERAGE AVERAGE Averace
Gong) Wooe] (Move)
it
r
Silo plete eB oe Loi
EAST MIDDLE WEST WEST SOUTH
Ratios Lxpressed as Percentages
Cuarr 1b—FreqQuENcy DistriBUTIONS OF THE REVENUE-TO-ASSETS
Ratios oF PusLic UriLity CompANIES BY GEOGRAPHICAL
Districts
Reference to the chart will show the differences in the outlines of
the several distributions. In the East there is no such degree of concen-
tration in one or two groups as in the other districts. As many as 29
per cent of the cases in the South,® for example, falls in one ratio-group
(12-15 inclusive); in the East the largest bar measures a ratio-group
containing only 17.8 per cent of the cases. In the West two groups
register 26.7 per cent each. Generally speaking the Eastern district
shows a little more spread of the cases among the ratio-groups, while
in the other districts the tendency is for the ratios to concentrate more.
This is again noticed in the spread about the largest group. By
grouping about 50 per cent of the cases in each district, it will be pos-
sible to compare the varying range of ratios necessary to embrace one-
half of the cases.
TEASE. + iv wiv ions onl o Sire alee wah iote:« 52.7 per cent between ratios of .12 and .24
Md dle West, eis ates 58.1 per cent between ratios of .08 and .20
West. ov vvssnnneesadnnsniindee 53.7 per cent between ratios of .04 and .12
South ae i hs oe 47.3 per cent between ratios of :12.and 1.20
The East and the Middle West each shows approximately 50 per
cent of their cases spread over a range of 12 per cent, although both the
For the South all of the results are less dependable than for the other districts,
due to the limited number of cases.
L81]
        <pb n="11" />
        lower and upper limits for the Middle West are lower by one ratio-
group of 4 per cent than the corresponding limit in the East. The data
for the West and South on the other hand, show for both districts that
a range of only 8 per cent is necessary to include approximately 50 per
cent of their cases. So it may be said that a slightly greater degree of
concentration of ratios exists in the West and South than in the East
and Middle West.

It will be observed that the upper limit (.12) of this 50 per cent
group for the West is the same as the lower limit of the 50 per cent
group for the East while the lower limit extends down to .04. The con-
centrated 50 per cent of the cases in the West is therefore considerably
lower in the scale than in the East; the Middle West is a little lower
than the East and South, but above the West. There is thus some
tendency for the Middle West and West to reach further into the lower
ratios than the East or South.

The ratio-group with the highest number of cases in each district
is as follows:

East Middle West West South

{ 04-07
Model group......... 16-19 12-15 108-11 12-15
Percentage included

therein. ........» 11.8% 24.8% 26.9% 29.1%
The high degree of concentration in three of the four districts is further
evidenced by the above figures. Approximately one-fourth of the cases
in three instances fall in one ratio-group of 4 per cent spread, but the
fact will have been already observed from the chart that each of two
ratio-groups in the West includes approximately one-fourth of the total.

The modal average for each district is given below. It indicates
the point where the greatest number of cases occur and expresses the
typical case for the respective localities.

East Middle West West South

Modal Average...... .i8 14 .09 .14
According to these averages three of the districts are not far apart in
number of cents of revenue per dollar of assets. But the difference is so
great between the Western district and the others that it might lead
one to wonder if plant expansion has not out-distanced demand for
service. In this series of bulletins, however, the presentation of the facts
claims all of the available space and “reasons why” must be left for
other investigators.

THE RATIOS BY SIZE OF COMPANY

The size of the company as measured by total assets according to

‘Table Ic and Chart 1c does not materially affect the distribution of the

[91]
        <pb n="12" />
        ratios of revenue to assets. The tendency is for most companies to show
a return of less than 20 cents on the dollar regardless of size. Below a
ratio of .20 there are, for the smaller companies (i.e. 5-9 millions of
assets), 71.8 per cent of the cases, for the middle group of companies
(10-49 millions of assets) 67 per cent, and for the companies with 50
millions of assets or over 66.4 per cent.
Bukeau or Business Research
Universirr of licinors-1c
tf AVERAGE veRAGE
: (Mon~! Woor,
Jo
Ke
5
D
1 I I
= os RE = Ll
I INT S TIERED 32% ne 3
320 Tangs Ee Xs $82 New
S70 9 MIULIONS OF ASSETS 10 70 49 MILLIONS OF ASSETS SO MULION'S OR OVER OF ASSETS
Ratias Lxpressed as Percentages
Cuart lc—FRrEQUENCY DISTRIBUTIONS OF THE REVENUE-TO-ASSETS
Ratios or PusLic UriLiry Companies By Size oF COMPANY
The modal averages are almost identical for the smaller companies
and those in the middle range of size. For the larger companies the
modal average is higher (.178 as compared to .142). The concentrated
50 per cent is suggested in the following:
5 2000 lan, rr te eh es 53.5 per cent between .08 and .20
10:50 4 millon, ois ss a is vee he ed hi 51.0 per cent between .12 and .24
50 TION OI OVET. cts rons ote tinis doutale as 48.8 per cent between .08 and .20
THE RATIO BY YEARS
The impression prevails that the public utility business is less sub-
ject to the cyclical fluctuations of general business than is industrial
enterprise. So we observe with interest the graphic illustration in
Chart 1d of the condition of the revenue-to-assets ratio in typical years.
The years selected (1917, 1919, 1921, 1924) are chosen to include the
principle phases of the general business cycle as indicated in the head-
ings of Table Id.
oo

109
        <pb n="13" />
        The distributions indicate that cyclical fluctuations do not materi-
ally influence the relationship of revenue to total assets. The modal
averages for the four respective years show but little variation; being
14, .15, .14 and .14. Such a showing indicates that more companies
earned between $.12 and $.16 of revenue per $1 of assets than at any

Buscas or Busivess Prscancu
Universirr of humors 1d
= AVERAGE &lt;A5F
- 4 XR 5 - v =
Ir 1579 /v&amp;/
Ratios Lxpressed as Percentages
CuArT 1d—FRrEQUENCY DISTRIBUTIONS OF THE REVENUE-TO-ASSETS
Ratios oF Public UtiLiTies By SAMPLE YEARS
other rate, and that this fact was very little changed by a period of
general business depression such as 1921,

This is the typical condition, expressing the representative ratio of
the year. Note the change in the proportion of cases which falls each
year in the group which contains the modal average.

1917 1919 1921 1924

Percentage of cases in the modal group... 24% 22% 18% 21%
Evidently in the depression year of 1921 there were fewer cases in the
largest group than was the case in any of the other years. This can also
be seen in the chart from the fact that the longest bar for 1921 is shorter
than the longest bar for any of the other years.

The way the cases are distributed throughout the other ratio-groups
is similar to the showing just mentioned. Taking three ratio-groups
beginning with .08, we find the following situation:

r+&lt;11
t Yai,
        <pb n="14" />
        Percentage of cases in the three ratio 1917 1919 1921 1924
groups between .08 and 20........ 58% 52% 47% 44%
There apparently is less concentration in a small number of groups as
time goes on. To include one more group lower down the scale (i. e., .04-
.08) would not change the showing materially. Since in some years the
ratio-groups immediately above 16-20 contain a considerable number
of cases, the “bulk” grouping may be experimentally expanded to in-
clude the six ratio-groups between .04 and .28 as follows:

Percentage of cases in the six ratio- 1917 1919 1921 1924

groups between .04 and .28........ 90% 85% 87% 88%

Thus it appears that a very large proportion of the cases (85-90 per
cent) regardless of the year falls within an area of 24 cents, i.e., .04 to
.28. When the grouping is extended from .08 to .20, as above, there is a
tendency apparent, as the years go on, for the cases to show more ratios
on the outside of these limits, that is, below .08 and above .20. But a
six-class grouping is large enough so that the effect of the different con-
ditions in different years is no longer apparent.

One other tabulation may be of interest in further characterizing
the ratio distributions by years. This will show the proportion of the
cases in the respective years which lies above a certain ratio as follows:

Percentage of cases with: 1917 1919 1921 1924

(1) iratio. of 1.32. or above. fit. ith 2 9% 8% 9% 7%

(2) ratiofel 24 orliabove 11% 18% 24% 16%

(3) ratio of 20 or above......- IO, 28% 37% 34%
The outstanding point in this presentation is the fact that throughout
the tabulation a larger proportion of the cases tend toward the higher
ratios in the year of depression, 1921, than in any of the other years
shown. With a ratio of .32 as a dividing line, 1921 shows 9 per cent of
the cases above that point in contrast with 5 to 8 per cent for the other
years; with a ratio of .24 as the dividing line, 1921 shows nearly one-
fourth of the cases above that point and the other years considerably
less.

THE RATIO ACCORDING TO TYPE OF COMPANY

The ratios are here classified (Table Ie and Chart le) as to Gas
and Electric companies, Traction companies, and Holding companies.
The outlines of the bar charts show a marked similarity between the
distribution of cases in ratio-groups for gas and electric companies on the
one hand, and traction companies, on the other, and a marked difference
between the distribution of the holding company cases and the other
types.
i121
        <pb n="15" />
        Ax
-
Avepars AVERAGE AVERAG ’
(pn fre) i Yar
37
10
¥
]
! I
oy id re aries
g i EEE EEE $8 5% Ns ®
GAS AND La. TRIC TRACTION HoLowe ComPINIES
__ Ratios Lxpressed as Percentages
Cuart le—FreqQueEncy DistriBuTiONs OF THE REVENUE-TO-ASSETS
Ratios oF Pusric UriLity Companies By Tyre oF ComPANY

These similarities so readily perceived in the chart are also evi-
denced in the figures in the table. In gas and electric and traction
companies the largest group is 12-15. The modal averages of these
two distributions are nearly identical although there is some differ-
ence in the proportion of cases in the two modal groups; for gas and
electric companies 18.6 per cent of the cases fall in the modal group and
22.7 per cent for traction companies. In contrast with this showing the
holding company distribution plainly shows the largest group between
.04 and .07. This is materially lower than the showing of the other com-
panies and consequently the modal average (5.8 cents per dollar) is
likewise lower.

The distinct tendency of holding companies toward the lower ratios
of revenue to total assets 1s shown again in the proportion of cases
which falls below a certain ratio as follows:

Gas and
Percentage of cases: Electric Traction Holding
(1) below a ratio of .16.. 47% 50% 81%
(2) below a ratio of 24.. 79% 84% 94%

A very considerable portion of the ratios for each type of company
is concentrated within a comparatively narrow range. Between a ratio
of .08 and one of .24 there is a range of only .16. Within that area there
are 65 per cent of the gas and electric cases, 72 per cent of the traction

Fh

13.
        <pb n="16" />
        cases, and 43 per cent of the holding company cases. The limits thus
established do not characterize the holding company distribution very
well because some of its most important ratio-groups are excluded. Thus
the largest ratio-group in this type of company 1s below .08 while some
of the ratio-groups above .24 are relatively unimportant. This method
of characterizing a frequency distribution fits the circumstances much
better if the limits be set at .04 and .16. The holding company group
shows 67 per cent of their cases between these two limits. Thus approx-
imately the same proportion of cases, about two-thirds, falls between
.04 and .16 for holding companies, and between .08 and .24 for both gas.
and electric companies, and traction companies.
r 4 1

a I J |
        <pb n="17" />
        REVENUE
II. THE NET WORTH RATIO

In Part I, the ratio of revenue to total assets was analyzed as a
quantitative measure of the productiveness of total operating invest-
ment; here it is proposed to study the productiveness controlled by
ownership capital through the analysis of the ratio of Gross Revenue to
Net Worth. Since Net Worth includes capital stock, preferred as well as
common, and undistributed surplus, it represents the stockholders’ inter-
est, or equity in the corporation. This ratio then expresses the number
of cents of gross revenue controlled per dollar of stockholder capital. In
a sense it shows the amount which might presumably be available per
stockholder-dollar, if there were no operating expenses and fixed charges
to be deducted. A relatively high ratio indicates that the stockholders’
dollar is highly active and will be highly productive if the margin of
the profits remains unchanged. A low ratio would be a less favorable
showing.

THE PRODUCTIVENESS OF OWNERSHIP CAPITAL

In analyzing the available public utility balance sheets, 1495 cases
were found where it was possible tocalculate the revenue /net worth ratio.
In some instances where a deficit existed in place of net worth or where
the data for some years were not given, no ratio could be calculated.
Seventy-eight of the total available cases produced a ratio of 1.00 or
more. These unusual cases will first be briefly characterized and this
will be followed by the analysis of the 1417 remaining cases which are
rather regularly distributed between zero and a ratio of one.

Since a ratio is the quotient obtained by dividing one quantity by
another, any unusual change in either the dividend (here the revenue)
or the divisor (here the net worth) without a corresponding change in
the other quantity will produce a corresponding change in the ratio as
a quotient.

By coincidence just one-half of the 78 unusual ratios here presented
were due to the fact that net worth was below the normal figure shown
by our other studies, and one-half to the fact that there had been an
unusual increase in gross revenue or that increases in revenue consist-
ently ran ahead of increases in net worth. Decreases in net worth pro-
duced very unusual ratios in some instances. Two cases were, noted for
{153
        <pb n="18" />
        example, in which revenue in one year amounted to $17 per dollar of
net worth: in another case where net worth amounted to only 3 per
cent of total assets the revenue ratio was $6 per dollar of net worth.
Such extreme cases are of course infrequent, and the conditions produc-
ing them are unusual due to temporary special causes. Nearly two-thirds
of the ratios which are above 1 are less than 2, and 17 per cent are
over 3.

With regard to location the unusual cases are distributed geograph-
ically in about the same way the normal cases are, with perhaps, some
tendency to be concentrated in the East and Middle West. About 86
per cent of the unusual cases are in these two districts in comparison
with 74 per cent of the normal revenue/net worth ratios. There is a
tendency, however, for the unusual ratios to appear in traction compa-
nies; 56 per cent of those cases are found in this type of company as
compared with 25 per cent of the cases of typical ratios. It is to be

Bureau oF Business RESEARCH
UNIVERSITY OF /iLINOIS -24
hn’
i
L ss
AVERAGE
(Moo)
2 29
bik
|
2 Ek
BR
: vo
~ [o) . 1 Cy" TING EG)
MLE YT 2.5 2%
P33 NPL Ine
Ratios Lxpressed as Percentages
Cuarr 2a—Frequency Distrisution oF 1417 Ratios oF Gross
Revenue To Ner Worta From 200 Pusric UriLity
Companies, 1915-1924
rea

iG
        <pb n="19" />
        noted, also, that more unusual ratios appear in the years 1920 and 1921
than in any other between 1915 and 1924.

Table Ila gives the distribution of the 1417 cases which shows
ratios below 1, and Chart 2a presents the table graphically. In out-
line the chart shows considerable regularity in the distribution of cases
among the ratio-groups, except that the second group is slightly larger.

The five largest groups include the ratios between .08 and .48 and
embrace nearly three-fourths (73%) of the total number of cases. Any
single random case, therefore, would probably fall near some ratio not
less than .08 or more than .48. The largest ratio group lies between .24
and .32 and contains 19% of the 1417 cases. The modal average, .29,
falls in this group. It is the most typical single figure—nearer to a
larger number of cases than any other type of average would be.

THE GEOGRAPHICAL DISTRIBUTION
The most striking feature of the ratio distributions according to
location is the radically different showing of the ratios in the West.
Forsro wr Emr Fogirecn
Univessirr or lisimoss -2b
els veraGE WVERAGE ! “pags
‘Maoc) "Moor) 7
. i
iad ny §ial 5 3 2
wie aed HSE 8 ARIZA SX
£2 MIDDLE WEST WEST SouTH
ratios Lxpressed as Rercentages
Cuart 2b—FreqQuency DisTRIBUTIONS OF THE REVENUE-TO-NET-
Worta Ratios oF PusrLic Uriity ComPANIES BY
GeocraruIcAL DisTrICTS
Reference to Chart 2b and its accompanying table will show this clearly.
The concentration of ratios for the West is in the two lowest ratio-groups,
i ry 1

RE
        <pb n="20" />
        while in other sections of the country the concentration is several groups
higher. Summarized figures showing this condition are as follows:
Middle
Percentage of cases: East West West South
(1) below a ratio of 24... 24% 30% 61% 43%
(2) below a ratio of 40... 60% 70% 84% 82%
By the time a ratio of .40 is reached as a dividing line, the proportion of
cases below this point in the West and South is about the same, but the
proportion in the lower range of the ratio scale for the East and Middle
West still lags behind the others. Or, put in the reverse way, the pro-
portion of cases of high ratios is greatest in the East, with the Middle
West next, and the other two districts following.
The modal averages show the same general tendency as follows:
Middle
East West West South
Modal ratio....... rare MEA 35 11 27
THE RATIO BY SIZE OF COMPANY
Size of company as measured in total assets makes some difference
in the ratio of Revenue to Net Worth, as will be observed in Chart 2c
Bimcau or Bosimess Reseancn
Universirr or litivors-2¢
2
AVERAGE et AVERAGE
Wwe (Moos)
i 35
Wo,
SE Nl y ef Liat!
Cs Rs aye 58% 8RK5%5Q § R83 3R5 8
$808 gukag p 885382] 8H ISR
S70 9 MILLIONS OF ASSETS 10 70 #9 MILLIONS OF ASSETS SOMULIONS OR OWER OF ASSETS
Ratios Expressed as Lercentages
Cuarr 2c—FRrEQuENCY DISTRIBUTIONS OF THE REVENUE-TO-NET-WORTH
Ratios oF PusLic UriLiry Companies By Size oF CoMPANY
0187
        <pb n="21" />
        and its table. There seems to be a tendency for the larger companies to
make a slightly better showing. If a ratio of .32 be taken as marking a
dividing line, the proportion of cases above that point will be as follows:

Size, 50

Size, 5-9 Size, 10-49 millions

millions millions and over

Percentage of cases

above a ratio of .32... 41% 49% 54%

The same showing appears in the averages (modes) which are, .20,
29, and .35, respectively, for the three sizes of companies.

In addition to these characteristics there are two other points
worthy of note. The first has to do with the concentration in an interval
of 24 per cent (.08 to .32) in the small companies of some 55 per cent of
the small company cases. On the other hand a 24 per cent interval for
the other companies extends from the ratio .24 to .48—much higher in
the scale—and includes about 50 per cent of the cases. The other point
is the relatively large proportion of cases (13%) for the largest com-
panies which falls in the lowest ratio-group. This unusual condition in
the first ratio-group tends to prevent the modal average from satisfac-
torily expressing the total number of cases in a typical figure.

THE RATIO BY YEARS
Judging by the general outlines of the bars in Chart 2d, the effect
of different years upon the distribution of the ratios along the scale
Bomras or Busmess Reseach
Unwersiry or liiimors -2d
ute 7 Que ERAGE AVERAGE
iad Moog)
a
: ; FRB FFI :
5 . FEE 8 AAFI ZX I eR3 YEE IN
/.. /9/9 /92/
Ratios [Lxpressed as Rercentages
Cuart 2d—FreqQuency DisTRIBUTIONS OF THE REVENUE-TO-NET-WORTH
Ratios oF Pusric UriLity ComPANIES BY SAMPLE YEARS
£19]
        <pb n="22" />
        suggests that the years influence the distribution of the ratios but little.
There is some tendency for later years to show less irregularity among
the higher ratios than the earlier years; if the tops of the bars for later
years were connected by a continuous line, it would, on the whole, pro-
duce a smoother curve.

The relative number of cases above a given ratio, however, indicates
a slight tendency for more cases to fall among the higher ratios as time
goes on.

Percentage of cases: 1917 919 1921 1924

{1Y" above ai ratin lef ®32 LIL Nas 52% 52% 51%

{2): above abraticiofi 40..oit is i Fa, 30% 36% 33%
The year 1919 makes a better showing in revenue per dollar of owner-
ship capital than does 1917; and 1921 is better than 1919, especially
above a ratio of .40. In 1924, however, there is some reversal of trend
which brings the ratios back to approximately the 1919 condition.

The averages (modes) are quite uniform for three of the four
selected years; the 1919 average was .35 as compared with .28 or .29 for
the other years. In this year the average shifted into the next higher
ratio-group, since the greatest concentration in one group then appeared
in the 32-40 group. By 1921 the largest group was back again at 24-32.

THE RATIO GROUP ACCORDING TO TYPE OF COMPANY

In some respects the most striking contrast associated with this
ratio is found here (Chart 2e and Table Ile) where the ratios are
classified according to whether the companies are Gas and Electric,
Traction, or Holding Companies.

The distribution of ratios for holding companies is very different
from the others, principally through the marked concentration in the
lower ratio-groups and the small proportion of cases in the higher
groups. Some of this contrast is shown in the following summary:

Gas and
Percentage of cases: Electric Traction Holding
(1% aboviela ratiohof 40.0. VL A340 36% 13%
(2) below a ratio of 40........ 66% 64% 87%
The largest single ratio-groups for the three types of companies and
the modal averages are as follows:
Gas and
Electric Traction Holding
Largest single STOUD. chile &lt;i lere2A—32 24-32 00-08
Percentage of cases in that group..... 19% 21% 29%
Modalliavenagelit oh. ls. stasis stn ielate 29 28 —_

[ 20]
        <pb n="23" />
        The first, and lowest, ratio-group was the largest group in the hold-
ing companies. Almost 30 per cent of the holding company cases
falls in the lowest ratio-group, as compared with 5 per cent and 2 per
cent in the lowest group of the other two classes of companies.
Bureau or Buswess Reseancy
Unmversiry oF liinols-Re
Ayeorg dvepace AVERAGE
" ( - (Moor) (Mone)
t
%
&lt;
Nos ¢ Pa 3X8 § 88 3X58
8 34 oR e 1% §3 83 8 28% 338 2
GAs AND LLECTRIC TRACTION HoLomwe COMPANIES
Ratios Lxpressed as Rercentages
CuarT 2e—FRreEQuENCY DISTRIBUTIONS OF THE REVENUE-TO-NET-WORTH
Ratios or Pusric UriLiry Companies By Type oF ComMpPANY
The class of greatest concentration is here the first ratio-group. There-
fore no average is shown. The average (mode) for gas and electric com-
panies and for traction companies are practically identical with the
average (mode) of all the 1417 cases as shown on Chart 2a.

-
        <pb n="24" />
        APPENDIX
TABLE Ia.—PRODUCTIVENESS OF TOTAL INVESTMENT
Frequency distribution of the ratios of Gross Revenue to Total Assets of 200 public
utility companies, 1915-1924

Ratio Ratio Cumulative Percentage: Cumulative

Groups Frequencies Frequencies Distribution Percentages
BO-080 hrs rate, 56 56 3.8 3.8
B-079. 0 shila 2 SA 208 264 14.1 17.9
08-1190, JL ase eld 219 483 14.8 32.7
12-1590 0g ae 289 772 1935 52.2
16-199. meme tii: 239 1011 1652 68.4
SE i Rp 203 1214 13.7 22.1
as tal i Soar 104 1318 7.50 89.1
2 - 58 1376 3.9 93.0
a A 39 1415 2.6 95.16
BO-B00 SA ha bt 27 1442 1.8 97.4
A023 Cr Le re LE 17 1452 1.2 98.6
LE PL el he 14 1473 1.0 99.6
48519. nr es 6 1479 100.0

Average: Approximated mode = ratio 14.1
r

1229
        <pb n="25" />
        REVENUE
TABLE Ib.—GEOGRAPHICAL DISTRIBUTION OF THE TOTAL ASSETS
RATIO
Frequency distributions of the ratio for public utility companies by territorial
divisions.
East Middle West West South
Ratio Groups Fre- | Per- Fre- | Per- . Fre- Per- | Fre- | Per-
quen- | cent- quen-  cent-  guen- cent- | quen- | cent-
cies | ages | cies , a es | cies. ares | cies | ages
Totals. .,.....iemv-2 R701" 1100, 399, Y100." 12319100. 1:3 100.
00-039... ......0¢ ++: 1S 2.6 3 3 21 | 17 6 4 | 4.1
04-079.....: = 7S 10.7 %5, 47 113 2 + Ti 136.2
08-119...... . 70 10.0 | 62 1 2 .9+ 23 | 16.9
12-139... ...... 123 17.6 199°" 1123.8 10.41 43 129.1
16-199......... 175 17.808 ‘7Z5a1t 8 £ 1R.2
20-239... ...,] | 17.3 Sa ing
24-279... ea t 3.790025 } 4.7
B80 ives ny 09 | 5.1 karan ; 0 22
32-350....1...... ROY | 3.31 pri
36-399... .. i. : Li 26 EST,
40-439. ...... 5". ZN 4
44-479. . ......... ory | ..
§3-319, — ho oe
Averages: Approximated Mode 18.0 14.1 1 11]

25 3. 14.
[u23
        <pb n="26" />
        REVENUE
Frequency distributions of the ratios for public utility companies according to
the amount of total assets.
With assets of With assets of With assets of
Rot 5 to 9 millions 10 to 49 millions 50 millions or over
atio
Groups Fre- Per= Fre- Per- Fre- Per-
quencies centages quencies centages quencies | centages
Totals inn 454 100. 736 100. 289 100.
00-039. .... 10 2:2 35 4.7 11 343
04-079... .. 73 1651 95 1259 40 13.8
08=119 Te 75 16.5 102 1359 42 14.5
12-1594. 110 24.3 136 | LSS 43 14.9
16-1997. 58 12:8 125 1780 5¢€ 10 4
20-2394 52 ISS 114 15715 B7 6
Sat 25 55 57 7 37
28-319..... 21 4.6 20 299, 1.7 3
32-359... 10 2.2 A143
36-399. ....1 12 2:6 10 i 1.4 Uo
40-439. .... 7 1:5 ¢ 1 -
44-479. .... 2 7 1.0 oa!
18-519... 54 *
Averages:
Approximated Mode 13.7 2 T=
[240

14.2 17.8
        <pb n="27" />
        REVENUE
TABLE 1d.— TOTAL ASSETS RATIO BY SAMPLE YEARS
Frequency distributions of the ratio for public utility companies
in selected typical years.
Fairly Y f R
War year normal Sal» poent year
NT : depression of prosperity
with high year with os
OCDE LY : : and declining and normal
PIOSDeritLy jncreasing activity activity
Ratio activity .
Groups 1917s 1919 1921s 19242
Fre- | Per-  Fre- | Per- Fre- | Per- + Fre- | Per-
quen- | cent- quen- | cent- quen-| cent- quen- | cent-
cies | ages J cies ages cies | ages cies | ages
Totalse i. ones in. R123: 1100. 156 |100. 163 1100:: y 170 1100.
00-039... 3.0.0 000 5 4 1 SEEN 3.3 5 yd 4 2.3
04-079... ..... 53... 03 LI | 2, 16.0 22 18.5 17 10.0
RT CORA 15 10.3 22 [13.5] 28 | 16.5
12-139... .... 0". 30 4 Bd 121.870.1429 17:8 1136 N2¥. 2
EOD od SOR SRI 1 oT 15, 35.
20-239... ......5. 9", 3 xz 12.9 a
24-2700 he ye 1 2 13:5 5
3-310. vin afl ats 3.2 &gt; 1.8 J
32-359. 0 ve nine niin A , 1-8 5
36-399... 3. Beans ae 3
40-430 rr TN
BAAD an Seite
43-519... :
Averages:
Approximated Mode 13.8 14.6 hi]
aFollowing the indications of the Harvard B Curve.

14.0
wu
        <pb n="28" />
        REVENUE
TABLE Ie.— TOTAL ASSETS RATIO BY TYPE OF COMPANY
Frequency distributions of the ratios for public utility com-
panies according to type.
: Gas and Electric Traction Holding Companies
Ratio )
Groups Fre- Per- Fre: {| "Per- Fre- Per-
quencies centages quencies | centages quencies centages
Totals..." 906 100. 388 100. 183. 100.
00-089... 17 1:9 12 3. 27 14.8
04-079... 03 PR 34 8.8 66 36.11
(0-119 50.050 136 [ISO 60 1550 23 12.6
12-1340 168 18.5 88 22.7% 33 18.0
16-199 88 0 141 15.6 84 2 6.5
20-239 5.0. 143 15.8 49 1 6.0
24-279... .%". 77 355 27 7 .
28-319. 5... 47 5.2 11 20% ..
32-359... 1% 28 5.5 153 vo
36-399... 18 2.0 150 ng
40-439. ... | 13 1.4 1.0
44-479. .... ; 2 2.1
418-519. .5..1 c : . I
Averages:
Approximated Mode 14.0 Hol
[rea

+
12.3 5.8
"76
        <pb n="29" />
        TABLE 11a.—PRODUCTIVENESS OF OWNERSHIP CAPITAL
Frequency distribution of the ratios of gross revenue to net worth of 200
public utilitv companies, 1915-1924.

Ratio Ratio Cumulative Percentage | Cumulative

Groups Frequencies Frequencies Distribution Percentages
00-079. i000 + ign J wish 106 106 7.5 7.3
08=159. . coin» 5 Gansidn cos 193 299 13.6 21.1
102230, civ rsmwiniviy 168 467 11.9 33.0
24-319. 551... Od. LQ 275 742 19.4 52.4
32=399.. 0. 4B Ln 228 970 16.1 68.5
40=4700. 38 i of TE 4 AR 171 1141 I.1 80.6
48-559. . .00. . » Lo Ble J LS 98 1239 6.9 87.5
56=635.. .505. LL ho. 00 70 1309 4.9 92.4
64=719.. .i%. .. A300. 45 1354 3.2 95.6
72=199,..%...L La... .80 1 1381 1.9 97.5
86=879...51... &amp; Kn... . it “f 1398 oi 93.7
838-850. ..0. 00 2 hits. 5. 1408 . 99 4
96-999... . om 1°17 dL |

Average: Approximated mode = ratio 28.6
og

1
        <pb n="30" />
        TABLE 1Ib.—GEOGRAPHICAL DISTRIBUTION
REVENUE
OF THE NET WORTH RATIO
Frequency distributions of the ratios for public utility
companies by territorial divisions.
East Middle West West South
Ratio ; — :
Groups Fre- | Per- Fre- | Per- Fre- | Per- Fre- | Per-
quen- cent- quen-/ cent- quen- | cent- quen- | cent-
cies ages cies = ages cies ages | cies ages

Morale, 0 ot Ee a wt FG 70 0, 387 100. 210 (100. 148 1100.
00-079 50... 5. GE CH AY G2 Rf 21 47 22.4 9 6.1
08-159............... 55 8.2 61 15.8 53 25.3 24 16.2
16-039, ules, vba 62 9.52 48 | 12.4 28 1373 30 20.3
2A-3U90%, a ea SE aE 74 119.1 3215.2 38 25.7
32-3BG LK. Ene BT 1G) 16.4 | 81 | 20.9 1A a4 21 14.2
AAT AX. es NL 0S 15.6 45 11.9 1. { / 4.7
18-5300, 5 Liiva) Cos 8.5 20 52 1 5 Te 6.7
Se-aRphV ol Ela tel 1 Mad 1 1d a ed
Gl FUGRRY hd Te 493 11 | 2.3 1a, 0 oy
PRES RE SO Eh : 2.3 oo
7D ee GE i 1.3 LL
S80 80 a 190
96-909... 0. i co
Averages:
Approximated Mode = ° 1

29. S550 11.0 27.3
L281
        <pb n="31" />
        REVENUE :
TABLE Ilc.— NET WORTH RATIOS BY SIZE OF COMPANY
Frequency distributions of the ratios for public utility companies
according to the amount of total assets.
With assets of With assets of With assets of
Rat 5 to 9 millions 10 to 49 millions 50 millions or over
o
Groups Fre- Per- Fre- Per- Fre- , Per
quencies centages quencies | centages quencies | centages
Totals: ....5- 424 100. 708 100. 285 100.
00-079..... 18 4.3 52 7.3 34 12.6
08-159. . :.. 77 18.2 93 13.1 2° 8.1
16239, .... 79 18.6 68 6 2 7.4
24-319..... 77 13.2000 vil45 er : 18.2
32-399..... o 19.6
40-479... .. 7
48-559. .... 2 0
56-639. .... 14 J. J
64-719... .. 13 4.3
72-799..... 0) 2.3
80-879..... i
88-959..... 1
96-999. ....1
Averages:
Appoximated Mode 20.0 : a

29.2 35.+
[291]
        <pb n="32" />
        REVENUE]
TABLE 11d.— NET WORTH RATIOS BY SAMPLE YEARS
Frequency distributions of the ratio for public utility
companies in selected typical years.
Fairly
War vear Sony ee of Recent year
: 3 : epression of prosperity
with high year with a
¢ : : and declining and normal
Prosperivy RLS activity activity
Ratios activity .
G _
RPS 19172 1919 1921s 1924s
Fre- | Per- Fre- | Per- Fre- | Per- Fre- | Per-
quen- | cent- quen- cent- quen- cent- quen-| cent-
cies | ages cies | ages cies ages | cies | ages
Wotal.sn oh ae on vate. 2 SRL 20 R100 NY 52 100: 157 5100.7 ¥ 162-3100.
D0-079" fib or. i SE 9.2 12 | 7.9 ONE 57 6 3.7
(08-1 80. ibn at 7 SAD 13. 302315. 1 23 ' 14.6 21 | 13.0
16-000. rE Aedes TY 11. Tans SSH 1S 20 Ia
4 -SUGL LL Xe eas SS 20.395 | 1673 | 29NNR1S5.S 3310820. 4
32-399 fei Re a 15.8 Bt 217 5 hn 28 17.3
Ld TO Lt 2 9.9 i : 5 14.2
A058. rl ah i =I? gi 14 ; 8.0
36-630. 0a ve on g 3.3 12 7s 4.9
G4-TU0 0 Ler es] La 7 45 es. 7
0 vn TA 2 Gill I 1.2
BOER clint don OO 1.7 a
B2B80 li na ae ;
000 re is sei: NE &gt;
Averages:
Approximated Mode 28.2 34.7 29.1 ‘
2Following the indications of the Harvard B Curve.

28.7
L301]
        <pb n="33" />
        REVENUE
TABLE Ile.— NET WORTH RATIOS BY TYPE OF COMPANY
Frequency distributions of the ratios for public utility
companies according to type.
Gas and Electric Traction Holding Companies
Ratio
Groups Fre- | Per- Fre- | Per- Fre- Per-
quencies centages quencies centages quencies | centages
Total=h..... 889 100. 350 100. 178 100.
00-079..... 47 5.3 2.0 50 29.2
08-159.....: 113 12:37 43 12.3 37 20.8
16-239.....] 101 11.4 47 13.4 20 11.2
24-319... 172 19.4 75 21.4 28 15.7
32-399... .. [FF Bz 15.2 26
40-479. ....| 137 9.7 3
48-559..... 5 z 7:2
56-639. .... 4, 22 6.3
64-719. .... 17 3.4
72-799..... 1 4.0
80-879..... 1.4
88-939..... : 1:7
96-999. .... 2.0)
Averages:
Approximated Mode 28.9
ray

28.9
        <pb n="34" />
        GROSS REVENUE
TABLE Ille.— “FIXED ASSETS RATIO BY TYPE OF COMPANY
Frequency distributions of the ratios for public utility
companies according to type
Gas and Electric Traction Holding Companies
Ratios |
Groups Fre- Per- Fre- Per- Fre- Per-
quencies centages quencies centages quencies centages
[Lotals........ ERO14 100. 397 100. 182 100.
00-0897". 15 1.6 12 3.0 26 14.2
04-079..." 94 10.3 30 7s 57 31.3
03-119..... (E114 12.5 53 133 29 15:19
12-159... 143 15.7 73 18.4 19 10.4
1-199. | 131 14.3 18 20.4 15 8.2
20-239... 1 123 13:5 61 15:3 15 8.2
24-2790 oh. 105 1155 33 8.3 .6
23-319." 67 7:3 13 3.3 0
32-359... | 41 4.5 13 0 : 1.6
36-399... ..1 27 3.0 E , bo
40-439. .... 20 2.2 1. 15.
44-479 5.4 11 1.2 6
|
45-519. ...% 13 LF iy en
52-559. .h e oe
56=599. Li 10) 159
60-639. .... ; 1.0 .6
64-679..." n .6
63-719... ; €
727759... ‘ : :
76-799.%..\.
Averages: _
Approximated Mode 14.1 7a
Fin ly

ts 6.1
ey
        <pb n="35" />
        PUBLICATIONS OF
THE BUREAU OF BUSINESS RESEARCH
UNIVERSITY OF ILLINOIS
Items marked with an asterisk (¥) may be obtained free of charge.
*Bulletin No. 1—Illinois Taxes in 1921. 8 pages.
*Bulletin No. 2—TIllinois State Revenue, 1895-1920. 12 pages.
*Bulletin No. 3—The Tax Rates of Illinois Cities in 1921. 16 pages.
Bulletin No. 4—Books about Shoes. 20 pages. (Out of print.)
Bulletin No. 5—Methods of Training Emplovees in Stores of Moderate
Size. 20 pages. (Out of print.)
*Bulletin No. 6—Books about Books. 28 pages.
*Bulletin No. 7—The Statistical Characteristics of Bookstore Sales.
32 pages.
*Bulletin No. 8—The Method of Analyzing Business Data. 46 pages.
*Bulletin No. 9—The Current Ratio in Public Utility Companies. 28
pages.
*Bulletin No. 10—The Productivity Ratios of Public Utility Companies.
32 pages.
        <pb n="36" />
        <pb n="37" />
        and its table. There seems to be a tendency for the larger companies to
make a slightly better showing. If a ratio of .32 be taken as marking a
dividing line, the proportion of cases above that point will be as follows:
Size, 50 i
Size, 5-9 Size, 10-49 millions
millions millions and over
Percentage of cases
above a ratio of 32... 41% 49% 54%
The same showing appears in the averages (modes) which are, .20,
29, and .35, respectively, for the three sizes of companies.
In addition to these characteristics there are two other points
worthy of note. The first has to do with the concentration in an interval
of 24 per cent (.08 to .32) in the small companies of some 55 per cent of
the small company cases. On the other hand a 24 per cent interval for
the other companies extends from the ratio .24 to .48—much higher in
the scale—and includes about 50 per cent of the cases. The other point
is the relatively large proportion of cases (13%) for the largest com-
panies which falls in the lowest ratio-group. This unusual condition in
the first ratio-group tends to prevent the modal average from satisfac-
torily expressing the total number of cases in a typical figure.
THE RATIO BY YEARS
Judging by the general outlines of the bars in Chart 2d, the effect
of different years upon the distribution of the ratios along the scale
TT Bomenu or Geuness Resgancn
Lnwersirr or lipimors -2d
“= YT RAGE
LY
or a i,
3" 13 NS 54 SAB 8B SR 82854 4 + &amp;
§ ¢ 3 38% 3X I RR JeARYIZY se, ER
19/7 19/9 1927 192%
_ Ratios Lxpressed as Rercentages
Cuart 2d—FreqQuENcy DISTRIBUTIONS OF THE REVENUE-TO-NET-WORTH
Ratios oF Pusric UriLity CoMPANIES BY SAMPLE YEARS

[ 19 1
      </div>
    </body>
  </text>
</TEI>
