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FEDERAL RESERVE BANK
OF N E W YORK
|~ Circular No. 306~]
LOctober 6, 1920 J

Ratio of Bank Capital to Deposits
To all Banks and Trust Companies
in the Second Federal Reserve District:
In the belief t h a t they will find it of interest we take pleasure in sending herewith
t o the banks and trust companies in this Federal Reserve District a reprint of a recently
published article on "The Ratio of Bank Capital to Deposits" by E. W. Kemmerer, Professor of Economics and Finance in Princeton University.
I t is contended in this article t h a t capital funds should stand in some reasonable
proportion to deposits because the capital funds of a bank provide its customers with a
limited guaranty fund against the loss of their deposits and are an assurance to the public
of the owners' faith in the institution. I t is also pointed out t h a t the marked decline
during the past forty years in the ratio of capital to deposits for national banks, state banks
and trust companies has been accelerated by the war and the desirability of a new ratio is
suggested.
V

Mention is made of "10 to 1" as a fair ratio between deposits and capital and the
paper indicates t h a t a capital fund (capital, surplus and undivided profits) equal to at
least 10 per cent, of the deposits is now quite generally considered as the minimum contribution which the stockholders should maintain. In fact, some of the western states
have a legal requirement that this ratio shall be maintained.
Professor Kemmerer concludes his discussion with the statement that
" T h e present is a particularly opportune time for bankers to
carefully examine their positions in this regard and, where needed,
to set their houses in order."
The large number of banks in this district which have increased their capital during
the past year is an indication of the fact t h a t the bankers of New York, New Jersey and
Connecticut are awake to the desirability of maintaining an appropriate ratio between
capital and deposits, and it is in view of this tendency that we have thought it would bs
of interest to all the banks in this district to receive a copy of this article, which we believe
is the most comprehensive recent analysis and discussion of the subject.




Yours very truly,
J. H. C A S E ,

Acting Governor

Bankers Statistics Corporation
NEW YORK, N. Y.

THE RATIO OF BANK CAPITAL TO DEPOSITS
By EDWIN WALTER KEMMERER
Professor of Economics and Finance in Princeton

University-

Copyright 1920 by Bankers Statistics Corporation
Meaning of

f

Terms.

Deposit currency inflation has resulted in a great decline since
1913 in the ratio of "Capital Funds" 1 (or of "net worth") to
deposits in our American banks. This ratio had been declining
almost uninterruptedly for 36 years prior to 1913; and, as far
back as the early '90's the decline became a matter of concern
to many economists and bankers. It is the object of this paper
to show the extent of the decline and to consider its significance
and the need of remedial measures.
The Deposit Guaranty Function of Capital Funds.
The public is concerned with the amount of capital funds
banks shall have because the investment of money in a bank
by its proprietors is an assurance to the public of the owners'
faith in the enterprise and provides the customers with a limited
guaranty fund against the loss of their deposits. In case of
insolvency the stockholders must lose their entire investment
and usually more under double liability of capital, before depositors lose a dollar.
It is for the purpose of affording the public this sort of protection that our banking laws both national and state require
a certain amount of initial capital of all commercial banks 2 before
they can begin business and that the laws make provisions to
insure the maintenance of this capital and the accumulation of
a surplus. It is also for this purpose that the national banking
law and the banking laws of two-thirds of our states impose
double liability on bank stock.
Capital Funds Should Stand in S o m e
,Reasonable Proportion to Deposits.
From this protective or guaranty function of bank capital
funds it follows that the amount of such funds banks should
have ought to stand in some reasonable proportion to the load
they have to carry, in other words, to the deposits they must
protect. Despite the fact that the national bank act and the
laws of 33 of our commonwealths make the legal minimum
capital requirement of commercial banks a function of the number of the inhabitants of the city in which the bank is located,
most people recognize that the question of the adequacy or
inadequacy of a bank's capital as a protection to deposits is
fundamentally a question of the ratio of capital funds to
deposits.
The Movement of the Ratio of Capital Funds to Deposits
for National Banks Has Been Downward Since 1874.
Let us therefore turn to the facts as regards this capital funds
ratio. For national banks, the only kind of commercial banks
'In this paper I shall use the term "capital funds," for lack of a better term,
to cover the assets represented by the liability items, capital, surplus, and undivided profits; and the word "capital" to represent that portion of the capital
funds represented by the paid-up capital stock.
'Section 5138 of the U. S. Revised statutes provides that "No association
shall be organized with a less capital than one hundred thousand dollars, except
that banks with a capital of not less than fifty thousand dollars may, with the
approval of the Secretary of the Treasury, be organized in any place the population of which does not exceed six thousand inhabitants, and except that banks
with a capital of not less than twenty-five thousand dollars may, with the sanction of the Secretary of the Treasury, be organized in any place the population
of which does not exceed three thousand inhabitants. No association shall be
organized in a city the population of which exceeds fifty thousand persons with
a capital of less than two hundred thousand dollars."
Of the 48 states the banking laws of 42 provide minimum capital requirements for commercial banks under state charters; in three states the minimum
is $50,000; in 11 states it is $25,000; in 3 states it is $20,000; in 8 states it is
$15,000; in 16 states it is $10,000; in 1 state, $7,500; and in I state, $5,000.
In nearly all of the states the minimum capital required varies with the population of the city or town in which the bank is located.




for which complete figures are available, the developments from
1864 to the present time arc shown in the following chart 3 .
Ratio of Capital Funds and of Capital to Deposits for all
National Banks, Annually, 1864 to 1919.

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The ratio increased rapidly during the first ten years of the
national banking system until it reached its maximum of 106
per cent, in 1874. From 1877 to 1881 it dropped from 101
per cent, to 61 per cent., the drop being due chiefly to an increase in deposits during those four years—an increase of 62
per cent., or from $649 millions to $1,050 millions, while the
capital funds decreased 2.3 per cent. From 1881 to 1895 t n e
ratio fluctuated from year to year with a slight downward
tendency reaching 56 per cent, in the latter year; both capital
funds and deposits having increased substantially during this
period, the former 54 per cent, and the latter 67 per cent. Then
came another pronounced drop in the ratio, this time from 58
per cent, in 1896 to 36 per cent, in 1899, which was due to the
fact that deposits increased for that period from $1,752 millions
to $2,606 millions, while capital declined from $1,050 millions
to $947 millions.
The act of 1900 authorizing the establishment of national
banks in towns of 3,000 population or less with a capital of
$25,000 and permitting the issue of national bank notes up to
100 per cent, of the bonds deposited (instead of up to only
90 per cent.) led to the formation of many new small banks
and was largely responsible for the doubling of the number of
national banks during the next 13 years. During this period
both capital funds and deposits increased rapidly, the former
from $1,013 millions to $2,046 millions and the latter from
$2,559 millions to $6,023 millions, bringing the ratio down from
40 per cent, to 34 per cent. Then came the war with its great
inflation of bank deposits, raising the deposit figures from
$6,023 millions in 1913 to $13,827 millions on November 17,
1919, an increase of 130 per cent., while capital funds increased
only from $2,046 millions to $2,494 millions, or 22 per cent.
This reduced the capital funds ratio from 34 per cent, to 18
per cent., or almost cut it in half.
Comparatively Small Proportion of War Time Profits of
National Banks Turned Into Capital Funds.
The war period brought national banks large profits, each of
the last three years having yielded larger percentage profits
than any previous year in the history of the national banking
J
The figures for each year refer to the Comptroller's call coming nearest
July 1st. Figures for 1919 are given for the last date available at this writing,
namely, November 17, 1919, as well as for June 30, 1919. Deposits cover all
deposits exclusive of bankers' balances.

system since 18691; but a comparatively small part of these
profits were retained in the capital, surplus, and profits accounts.

as much protection to depositors, where double liability exists,
as a dollar of surplus or of undivided profits.
The following chart shows for all national banks by years
the percentage of the total capital funds, represented respectively
by capital, surplus, and undivided profits.

If Measured in a Dollar of the Same Purchasing Power
as the Dollar of 1913, National Bank Deposits Would Have
Been the S a m e on November 17, 1919 as they Were o n
June 4, 1913, While the Capital Funds of National Banks
Would Have Been 47 Per Cent. Lower.

Percentage of the Capital Funds of National Banks,
Consisting Respectively of Capital, Surplus,
and Undivided Profits, Annually, 1864-1919.

Of course this great increase in bank deposits since 1913 is
largely merely an expression of currency depreciation. From
June, 1913 to November, 1919 the wholesale price index number
of the Bureau of Labor Statistics rose from 100 to 230, an increase
of 130 per cent, (representing a depreciation of 56.5 in the purchasing power of the dollar). National bank deposits during
these six years increased by exactly the same percentage, namely
130 per cent., so that if we express the volume of deposits in
November, 1919 in terms of the June, 1913 dollar (namely, a
dollar of the same purchasing power as that of June, 1913) we
find that there was no increase whatever. As a matter of fact
this increase in bank deposits was the chief cause of the rise in
the price level2.
Expressed in terms of a dollar of the same purchasing power
as that of June, 1913 the item of capital funds for national
banks would have been on November 17, 1919 $1,085 millions,
instead of the actual figure $2,046 millions; or in other words,
would have been 47 per cent, lower than it was in June, 1913.
Decline of Capital Funds Ratio in State
Banks and Trust Companies.
Similar declines in the capital funds ratio have taken place in
state banks and in trust companies. The facts by five-year
intervals for the state institutions reporting to the Comptroller
of the Currency are shown in the following table:
RATIOS OF CAPITAL FUNDS AND OF CAPITAL
FOR STATE BANKS, AND TRUST COMPANIES.

The striking fact brought out by the chart is the large and
almost continuous decline in the proportion of capital. This
movement divides itself into four periods: (1) A period of
rapid decline from 1864 to 1870, during which the percentage
of capital to capital funds fell from 95 to 76; (2) a period of
comparative stability from 1871 to 1885, during which the
percentage fell only slightly, namely, from 76 to 73; (3) a
period from 1886 to 1915, which witnessed a continuous decline
in the percentage of capital from 71 to 51; and finally, (4) a
period from 1916 to the present time, during which the decline
has become more pronounced, having been
from 51 per cent,
in 1916 to 46 per cent, in November, I9i9. s

Five Year Intervals.
Ratio of Capital Funds to Deposits.
Ratio of Capital to I)eposits
Year.
June 30. State Banks. Trust Companies. State Banks. Trust Comp
43-0
1874
54-1
62.I
I879
75-5
I884
33-8
47-3
I889
45-6
32.8
I894
52.6
36.6
20.6
37-1
1899
29.7
20.0
12-5
25-1
I904
16.8
I4.9
27-5
35-5
I909
26.7
30.2
16.9
12.8
1914
21.8
II.7
15-5
25-9
18.2
8.7
1919
15-4
7-9

The average ratios of capital to deposits for national banks
are shown for the period 1864 to 1919 on the chart on page 2.
From 1864 to 1878 the average ratio varied between 63 per cent.
(1864) and 77 per cent. (1870). Then came a drop to a new
level which was reached about 1881. From 1881 to 1896 the
average ratio varied from 53 per cent. (1884) to 38 per cent.
(1895). During this last period bankers talked of a "2 to 1"
or a " 2 H to r " ratio as a proper one. From 1896 to 1899 there
was another drop and the average ratio between 1899 and 1915
varied from 40 per cent, to 32 per cent. At this time "4 to 1"
was commonly looked upon as a fair ratio. Then came the war-

For state banks the average ratio of capital funds to deposits
is less than a third as high today as it was twenty-five years
ago, and for trust companies it is slightly less than half as high.
For both classes of banks the ratio showed a striking decline
during the war period, 1914 to 1919.
Decline in Capital Ratio and in Percentage of Capital to
Total Capital Funds in National Banks Since 1864.

T h e reasons for the decline in the percentage of capital to capital funds are
many, and a discussion of them does not fall within the province of this paper.
Among the more important are: (1) The growth of existing banks. When
increased banking power is being obtained by the formation of many new banks
whose capital funds at the beginning naturally consist either entirely or almost
entirely of capital, the proportion of capital to capital funds in the banks of
the country tends to increase, or at least to decrease more slowly. When, on
the other hand, increased banking power is being obtained largely by the
growth of existing banks, the proportion of capital tends to decline. (2) The
desire to escape the double liability which applies to capital and does not apply
to surplus and profits. (3) Until the passage of the Federal Reserve Act, the
desire to avoid the investment of additional funds in United States bonds. (4)
The fact that surplus and undivided profits often escape taxes that fall on
capital. (5) The fact that surplus can be increased or decreased with less
formality and expense than can capital, and can be decreased with less unfavorable criticism on the part of the public. (6) The fact that subscriptions
to Federal Reserve Bank stock need not be increased with an increase in undivided profits, as they must be with an increase in capital or surplus. On
June 4, 1913, before the Federal Reserve Act was passed, undivided profits
represented 13.1 per cent, of the total capital funds of national banks, and on
June 30, 1919 they represented 17.5 per cent.

Let us now turn from the capital funds ratio to the capital
ratio, namely, the ratio of capital to deposits (exclusive of
bankers' balances). From the standpoint of the protection of
the public a dollar of capital is usually much more important
than a dollar of surplus or undivided profits, for the reason that
for national banks and for state banks and trust companies in
two-thirds of our states (including most of the more important
ones) the law imposes a double liability on the capital stock.
Of the three capital fund items, therefore, the capital item is
qualitatively superior to the other two and, to the extent that
the double liability can be enforced, a dollar of capital is twice
•Annual reports of the Comptroller of the Currency 1918, v. 1, p. 7; and
1919, v. 1, pp. 25-26.
2
See E. W. Kemmerer, Inflation, Bankers Statistics Corporation Service.
December 4, 1919.




3

fy)Q-

C^VLA^^*^UO(

'

time decline which gave an average ratio at the end of 1919 of
only 8 per cent., and now we hear talk of "10 to 1" as a fair
ratio.
Decline in Capital Ratio for State Banks
and Trust Companies.
The table on page 3 shows a like decline in the average capital
ratio for state banks and for trust companies. For state banks
the ratio dropped from 43.0 per cent, in 1874 to 15.5 per cent,
in 1914, and to 8.7 per cent, in 1919. For trust companies
there was a drop from 20.6 per cent, in 1894 to 11.7 per cent,
in 1914, and to 7.9 per cent, in 1919.
These pronounced declines in the average capital funds ratios
and in the average capital ratios for national banks, state banks,
and trust companies are of themselves of great significance;
but the average figures cover up the most serious phase of the
situation, namely, the many extremely low individual ratios that
enter into the average. Large numbers of our banks, both
national and state, are carrying adequate capital funds. The
chief danger comes from a comparatively small minority of the
banks in each class that, in their zeal for large dividends, are
running their ratios to figures far below those of the more conservative banks. In support of this statement a few illustrations may be given.
Figures recently compiled by the banking department of
one of our leading states show the average ratio of capital funds
to deposits aas
of December 31, 1919, for all state banks to have
been 12.79, n d for all trust companies 11.76. But of the twentyfive state banks covered by the report the ratios for eleven were
below the average for all; those for four were below 8 per cent.,
and that of one was below 6 per cent. For the one hundred and
twenty-one trust companies covered by the report the range was
from 45.30 per cent, to 3.63 per cent. Fifty-four of the trust
companies had ratios below the average of all; eighteen had
ratios below 7.5 per cent., and five had ratios below 6 percent.
A similar situation exists among national banks. On three
consecutive pages of the 1918 annual report of the Comptroller
of the Currency giving the figures for 148 national banks I
find capital fund ratios varying from 30.7 to 6.26, and capital
ratios varying from 20.6 to 3.09.
Legal M i n i m u m Ratios of Capital Funds to Deposits
Should be Fixed by Law.
Ratios as low as some of these above cited do not afford
reasonable protection to the depositing public nor are the banks
which have them fair competitors with more conservative banks.
For our banking laws, national and state, to permit banks to
conduct business with such small ratios of capital funds to
deposits, as some of these banks have, is unduly to encourage
the development of unsafe banks.
Our laws require legal minimum reserves; they usually require minimum amounts of capital in relation to the population
of the cities in which banks are located, why should they not
also fix a minimum ratio somewhere of capital funds to deposits, and say to the banks, "This limit is one of the rules
of the game, so far you may go but no farther"? Many bankers
who oppose such a rigid minimum, themselves insist upon an
equally rigid one in requiring of customers a margin of at least
20 per cent, on loans collateraled by stocks. They ask their
customers to offer at least a 20 per cent, margin as a protection
to the bank. Why should not the bank be required, likewise,
by the public, to make a minimum capital funds guaranty as a
protection to its depositors?
Other Methods of Inducing Banks With Inadequate
Capital Funds to Increase These Funds to a Reasonable
Ratio to Deposits.
In an administrative way, and until statutory minima are
imposed the Comptroller of the Currency and the various state
banking departments could probably accomplish much in the
direction of inducing the weaker banks to raise their capital




funds ratios to reasonable figures. The Federal Reserve Banks,
moreover, in granting applications to member banks for loans
and rediscounts, and in applying the graduated scale of discount rates authorized by the Phelan act, could improve the
situation by showing preference to banks with reasonable capital
funds ratios.
Great Improvements During Recent Years in Our Bank
Examinations Have Justified Some Reductions in Capital
Funds Ratios.
Of course it is recognized that the great improvements made
in recent years in our bank examinations, both national and
state, and in the examinations of our clearing house associations, together with the increasing supervision over member
banks exercised by the Federal Reserve System are forces favorable to safer banking. They justify smaller capital funds ratios
than were needed a generation ago.
The great decline in bank failures during recent years may
be a good omen although its favorable significance at this time
is likely to be exaggerated because our banks as well as our
business houses have been enjoying a period of war-stimulated
prosperity and of artificial protection. The strikingly small number of bank failures and of commercial failures since the year
1914 may have its dangerous side for it may signify, in part, that
for some years little dead wood has been cut out. With a
trying period of deflation and readjustment ahead the present
is an opportune time for banks to set their houses in order, if
they have not already done so.
The average capital funds ratio has been declining almost
continually for two generations. For many banks it has now
reached the danger point. There should be a limit somewhere.
CONCLUSIONS.
The conclusions of this paper may be summarized in a few
words.
The capital funds of banks, namely capital, surplus and undivided profits, are of interest to the public because they are
an assurance of the owners' faith in the enterprise and because
they serve as a limited guaranty fund to depositors against
the loss of their deposits. If this guaranty-fund function is to
be of any importance the amount of capital funds a bank maintains must stand in some reasonable proportion to the amount
of deposits they are to protect.
For the last two generations there has been for national
banks, state banks and trust companies a pronounced and
almost continual decline in the ratios of capital funds to deposits and that decline was accentuated by the war.
Of the capital funds the part consisting of capital is subject
to double liability in national banks and in the state banks and
trust companies of two-thirds of our states. The proportion
of the total capital funds represented by capital has declined
almost steadily during the last half century both for national
banks and for state institutions. It has dropped sharply since
the outbreak of the war.
The capital funds of many individual banks are today dangerously low in proportion to the deposits. In the interest of
adequate protection to depositors and of rules for the game of
bank competition that are fair to conservative bankers, our
banking laws, both national and state, should fix minimum
limits for the ratio of capital funds to deposits, limits which
all banks of a given class should be prevented from passing.
Until such legislation is enacted much could be accomplished
administratively by the Comptroller of the Currency, the Federal
Reserve Banks, and the state banking departments, in the
direction of bringing up to a reasonable standard the capital
funds ratios of those banks whose present positions are the
most unfavorable.
The present is a particularly opportune time for bankers to
carefully examine their positions in this regard and, where
needed, to set their houses in order.