View original document

The full text on this page is automatically extracted from the file linked above and may contain errors and inconsistencies.

a n e c o n o m ic review b y th e F e d e ra l R e s e r v e B a n k o f C h ica g o







A B C s of
figuring in terest

3

The m ethod used to calculate
interest can have substantial
effect on the am ount o f
interest paid. Savers and bor­
rowers should be aware not
only o f nominal interest
rates but also o f how nom ­
inal rates are used in calcu­
lating total interest charges.

Banking developments

12

Subscriptions to Business Conditions are available to the public free of charge. For
information concerning bulk mailings, address inquiries to Research Department,
Federal Reserve Bank of Chicago, P. O. Box 834, Chicago, Illinois 60690.
Articles may be reprinted provided source is credited. Please provide the bank’s
Research Department with a copy of any material in which an article is reprinted.

3

Business Conditions, September 1973

A B C s of figuring interest
During periods when market interest rates
are rising, commercial banks, savings and
loan associations, and other financial insti­
tu tio n s find themselves competing for
funds with direct market investments such
as Treasury bills and corporate bonds.
Because yields on market investments are
determined by the interplay of supply and
demand, they are free to go above the ceil­
ing rates established by regulatory bodies
on certain classes of consumer-type savings
deposits. When market rates move above
deposit ceiling rates, funds have a tendency
to move out of deposits and into direct
market instruments to obtain the higher
yields.
During most of 1973, market rates
have been above the permissible ceiling
rates for regulated consumer-type savings
deposits. To make such deposits as attrac­
tive as possible, banks and savings and loan
associations (S&Ls) have been anxious to
offer and advertise the greatest dollar
am ount of interest legally possible on all
classes of regulated deposits. “Continuous
com pounding” and figuring annual interest
on a “ 360-day year”—both permissible
under the law—are techniques used to in­
crease the dollar am ount of interest paid
per given am ount of deposit.
In July 1973, regulatory authorities
raised the maximum interest rates that
financial institutions could pay on various
categories of savings deposits by lA to lA
percentage points, and ceilings were re­
moved entirely on deposits of $1,000 or
more maturing in not less than four years.
(Later, ceiling-free deposits for any one
bank were limited to 5 percent of its total
time and savings deposits.) But increases in
rates not withstanding, the exact am ount
of interest income earned by depositors




continues to depend on the rate of interest
selected by their depository institution and
on the method that institution uses to cal­
culate interest. On the other side of the
coin, the dollar am ount of interest borrow­
ers pay on loans granted by financial insti­
tutions also depends on the interest rate
charged by the lender and on the method
the lender uses to com pute interest.
W hile various interest calculation
methods continue to be used, Truth-inLending legislation, to a certain degree, has
eliminated some of the confusion con­
cerning costs of consumer credit. This legis­
lation requires that the “ annual percentage
rate” be disclosed to the consumer. Con­
gressional hearings are now in progress on
analogous Truth-in-Savings legislation. The
confusion resulting from different interest
calculation methods can be lessened, how­
ever, once the relationships among the dif­
ferent methods are understood.

Interest calculations
Interest represents the price borrowers
pay to lenders for credit over specified
periods of time. The am ount of interest
paid depends on a number of factors: the
dollar am ount lent or borrowed, the length
of time involved in the transaction, the
stated (or nominal) annual rate of interest,
the repaym ent schedule, and the method
used to calculate interest.
If, for example, an individual deposits
$1,000 for one year in a bank paying 5
percent interest on savings, then at the end
of the year the depositor may receive in­
terest of $50, or he may receive some other
amount, depending on the way interest is
calculated. Alternatively, an individual who
borrows $1,000 for one year at 5 percent

4

and repays the loan in one paym ent at the
end of a year, may pay $50 in interest, or
he may pay some other am ount, again de­
pending on the calculation method used.

Simple interest
The various methods used to calculate
interest are basically variations of the
simple interest calculation method.
The basic concept underlying simple
interest is that interest is paid only on the
original am ount borrowed for the length of
time the borrower has use of the credit.
The am ount borrowed is referred to as the
principal. In the simple interest calculation,
interest is com puted only on that portion
of the original principal still owed.
Example 1: Suppose $1,000 is bor­
rowed at 5 percent and repaid in one pay­
ment at the end of one year. Using the
simple interest calculation, the interest
amount would be 5 percent of $1,000 for
one year or $50 since the borrower had use
of $1,000 for the entire year.
When more than one paym ent is made
on a simple interest loan, the m ethod of
computing interest is referred to as “in­
terest on the declining balance.” Since the
b o rro w e r only pays interest on that
amount of original principal which has not
yet been repaid, interest paid will be
smaller the more frequent the payments.
At the same time, of course, the am ount of
credit the borrower has at his disposal is
also smaller.
Example 2: Using simple interest on
the declining balance to com pute interest
charges, a loan repaid in two payments—
one at the end of the first half-year and
another at the end of the second half-year
—would accumulate total interest charges
of $37.50. The first paym ent would be
$500 plus $25 (5 percent of $1,000 for
one-half year), or $525; the second pay­
ment would be $500 plus $12.50 (5 per­




Federal Reserve Bank of Chicago
cent of $500 for one-half year),or $512.50.
The total am ount paid would be $525
plus $512.50,or $1,037.50. Interest equals
the difference between the am ount repaid
and the am ount borrowed, or $37.50. If
four quarterly payments of $250 plus in­
terest were made, the interest amount
would be $31.25; if 12 monthly payments
of $83.33 plus interest were made, the in­
terest am ount would be $27.08.
Example 3: When interest on the de­
clining balance method is applied to a loan
that is to be repaid in two equal payments,
payments of $518.83 would be made at the
end of the first half-year and at the end of
the second half-year. Interest due at the
end of the first half-year remains $25;
therefore, with the first paym ent the bal­
ance is reduced by $493.83 ($518.83 less
$25), leaving the borrower $506.17 to use
during the second half-year. The interest
for the second half-year is 5 percent of
$506.17 for one-half year, or $12.66. The
final $518.83 paym ent, then, covers in­
terest of $12.66 plus the outstanding bal­
ance of $506.17. Total interest paid is $25
plus $12.66, or $37.66, slightly more than
in Example 2.
This equal paym ent variation is com­
monly used with mortgage paym ent sched­
ules. Each paym ent over the duration of
the loan is split into two parts. Part one is
the interest due at the time the payment is
made, and part two—the remainder—is
applied to the balance or am ount still
owed. In addition to mortgage lenders,
credit unions typically use the simple
in te r e s t/d e c lin in g balance calculation
method for computing interest on loans.
Consumer instalment loans are normally set
up on this method and in recent months a
number of banks have also begun offering
personal loans using this method.

Other calculation methods
Add-on interest, bank discount, and

Business Conditions, September 1973
compound interest calculation methods dif­
fer from the simple interest method as to
when, how, and on what balance interest is
paid. The “effective annual rate,” or the
annual percentage rate, for these methods
is th at annual rate of interest which when
used in the simple interest rate formula
equals the am ount of interest payable in
these other calculation methods. For the
declining balance m ethod, the effective
annual rate of interest is the stated or
nominal annual rate of interest. For the
methods to be described below, the effec­
tive annual rate of interest differs from the
nominal rate.
Add-on interest. When the add-on in­
terest method is used, interest is calculated
on the full am ount of the original principal.
The interest am ount is immediately added
to the original principal and payments are
determined by dividing principal plus in­
terest by the number of payments to be

Add-on interest: the more

frequent the payments, the
higher the effective rate
effective annual rate*
(percent)

*Based on 5 percent add-on, one-year loan.




5
made. When only one paym ent is involved,
this method produces the same effective in­
terest rate as the simple interest method.
When two or more payments are to be
made, however, use of the add-on interest
method results in an effective rate of
interest that is greater than the nominal
rate. True, the interest am ount is calculated
by applying the nominal rate to the total
am ount borrowed, but the borrower does
not have use of the total am ount for the
entire time period if two or more payments
are made.
Example 4: Consider, again, the twopayment loan in Example 3. Using the
add-on interest m ethod, interest of $50 (5
percent of $1,000 for one year) is added to
the $1,000 borrowed, giving $1,050 to be
repaid; half (or $525) at the end of the first
half-year and the other half at the end of
the second half-year.
Recall th at in Example 3, where the
declining balance method was used, an
effective rate of 5 percent meant two equal
payments of $518.83 were to be made.
Now with the add-on interest method each
paym ent is $525. The effective rate of this
5 percent add-on rate loan, then, is greater
than 5 percent. In fact, the corresponding
effective rate is 6.631 percent. This rate
takes into account the fact that the bor­
rower does not have use of $1,000 for the
entire year, but rather use of $1,000 for
the first half-year, and, excluding the in­
terest paym ent, use of $508.15 for the
second half-year.
To see that a one-year, two equal pay­
ment, 5 percent add-on rate loan is equi­
valent to a one-year, two equal payment,
6.631 percent declining balance loan, con­
sider the following. When the first $525
payment is made, $33.15 in interest is due
(6.631 percent of $1,000 for one-half
year). Deducting the $33.15 from $525
leaves $491.85 to be applied to the out­
standing balance of $1,000. The second
$525 payment covers $16.85 in interest

6

(6.631 percent of $508.15 for one-half
year) and the $508.15 balance due.
In this particular example, using the
add-on interest method means that no m at­
ter how many payments are to be made,
the interest will always be $50. As the
number of payments increases, the bor­
rower has use of less and less credit over
the year. For example, if four quarterly
payments of $262.50 are made, the bor­
rower has the use of $1,000 during the first
quarter, around $750 during the second
quarter, around $500 during the third quar­
ter, and around $250 during the fourth and
final quarter. Therefore, as the number of
payments increases, the effective rate of
interest also increases. For instance, in the
current example, if four quarterly pay­
ments are made, the effective rate of in­
terest would be 7.922 percent; if 12
monthly payments are made, the effective
interest rate would be 9.105 percent. The
add-on interest method is commonly used
by finance companies and some banks in
determining interest on consumer loans.
Bank discount. When the bank dis­
count rate calculation method is used,
interest is calculated on the am ount to be
paid back and the borrower receives the
difference between the am ount to be paid
back and the interest am ount. In Example
1, a 5 percent $1,000 loan is to be paid
back at the end of one year. Using the bank
discount rate method two approaches are
possible.
Example 5: The first approach would
be to deduct the interest am ount of $50
from the $1,000, leaving the borrower with
$950 to use over the year. At the end of
the year he pays $1,000. The interest
amount of $50 is the same as in Example 1.
The borrower in Example 1, however, had
the use of $1,000 over the year. Thus, the
effective rate of interest using the bank dis­
count rate method is greater than that for
the simple interest rate calculation. The




Federal Reserve Bank of Chicago
effective rate of interest here would be
5.263 percent—i.e., $50 + $950—compared
to 5 percent in Example 1.
Example 6: The second approach
would be to determine the am ount that
would have to be paid back so that once
the interest am ount was deducted, the bor­
rower would have the use of $1,000 over
the year. This am ount is $1,052.63, and
this becomes the face value of the note on
which interest is calculated. The interest
am ount (5 percent of $1,052.63 for one
year) is $52.63, and this is deducted leaving
the borrower with $1,000 to use over the
year. The effective rate of interest, again, is
5.263 percent. The bank discount method
is commonly used with short-term business
loans. Generally there are no intermediate
payments and the duration of the loan is
one year or less.
Compound interest. When the com-

Compound in terest: over time,
compounding increases the
amount of in te re st paid
cumulative interest amounts*
(dollars)

‘ A m ount paid on $1,000 at 5 percent annual
interest rate.

Business Conditions, September 1973

7

pound interest calculation is used, interest
is calculated on the original principal plus
all interest accrued to th at point in time.
Since interest is paid on interest as well as
on the am ount borrowed, the effective
interest rate is greater than the nominal in­
terest rate. The compound interest rate
method is often used by banks and savings
institutions in determining interest they
pay on savings deposits “loaned” to the
institutions by the depositors.

sumed to be 365 days long. Historically, in
order to simplify interest calculations,
financial institutions have often used 12
30-day months, yielding a 360-day year. If
a 360-day year is assumed in the cal­
culation and the am ount borrowed is ac­
tually used by the borrower for one full
year (365 or 366 days), then interest is
paid for an additional 5/360 or 6/360 of a
“year.” For any given nominal rate of
interest, the effective rate of interest will
be greater when a 360-day year is used in
the interest rate calculation than when a
365-day year is used. This has come to be
known as the 365-360 method.

Example 7: Suppose $1,000 is de­
posited in a bank that pays a 5 percent
nominal annual rate of interest, com­
pounded semi-annually (i.e., twice a year).
At the end of the first half-year, $25 in
interest (5 percent of $1,000 for one-half
year) is payable. At the end of the year, the
interest am ount is calculated on the $1,000
plus the $25 in interest already paid, so
that the second interest payment is $25.63
(5 percent of $1,025 for one-half year).
The interest am ount payable for the year,
then, is $25 plus $25.63, or $50.63. The
effective rate of interest is 5.063 percent
which is greater than the nominal 5 percent
rate.
T h e more often interest is com­
pounded within a particular time period,
the greater will be the effective rate of
interest. In a year, a 5 percent nominal
annual rate of interest compounded four
times (quarterly) results in an effective
a n n u a l rate of 5.0945 percent; com­
pounded 12 times (m onthly), 5.1162 per­
cent; and compounded 365 times (daily),
5.1267 percent. When the interval of time
between compoundings approaches zero
(even shorter than a second), then the
method is known as continuous com­
pounding. Five percent continuously com­
pounded for one year will result in an
effective annual rate of 5.1271.

How long is a year?
In the above examples, a year is as­




Example 8: Suppose $1,000 is de­
posited in a bank paying a 5 percent
nominal annual rate of interest, com­
pounded daily. As pointed out earlier, the
effective annual rate of interest for one
year, based on a 365-day year, is 5.1267
percent. The interest payable on the 365th
day would be $51.27. Daily compounding
means that each day the daily rate of
0.0137 percent (5 percent divided by 365
days) was paid on the $1,000 deposit plus
all interest payable up to that day. Now
suppose a 360-day year is used in the calcu­
lation. The daily rate paid becomes 0.0139
percent (5 percent divided by 360 days) so
that on the 365th day the interest amount
payable would be $52. The effective annual
rate of interest, based on a 360-day year,
would be 5.1997 percent.
Example 9: Suppose that a $1,000
note is discounted at 5 percent and payable
in 365 days. This is the situation discussed
in Example 5 where, based on a 365-day
year, the effective rate of interest was seen
to be 5.263 percent. If the bank discount
rate calculation assumes a 360-day year,
then the length of time is computed to be
365/360 or 1 1/72 years instead of one
year, the interest deducted (the discount)
equals $50.69 instead of $50, and the effec­
tive annual rate of interest is 5.267 percent.

Federal Reserve Bank of Chicago

8

In terest paid under the Rule of 78 is
always more than under the declining balance —
but how much more depends on:
The term of the
original loan contract
difference in interest paid
(dollars per $100 of interest)




The effective annual
rate of interest

Business Conditions, September 1973

When repayment is early
In the above examples, it was assumed
that periodic loan payments were always
made exactly when due. Often, however, a
loan may be completely repaid before it is
due. When the declining balance method
for calculating interest is used, the borrow­
er is not penalized for prepayment since
interest is paid only on the balance o u t­
standing for the length of time that amount
is owed. When the add-on interest calcula­
tion is used, however, prepayment implies
that the lender obtains some interest which
is unearned. The borrower then is actually
paying an even higher effective rate since
he does not use the funds for the length of
time of the original loan contract.
Some loan contracts make provisions
for an interest rebate if the loan is prepaid.
One of the common methods used in deter­
mining the am ount of the interest rebate is
referred to as the “ Rule of 78.” Applica­
tion of the Rule of 78 yields the percentage
of the total interest am ount that is to be
returned to the borrower in the event of
p re p a y m e n t. The percentage figure is
arrived at by dividing the sum of the inte­
ger numbers (digits) from one to the
number of payments remaining by the sum
of the digits from one to the total number
of payments specified in the original loan
contract. For example, if a five-month loan
is paid off by the end of the second month
(i.e., there are three payments remaining),
the percentage of the interest that the lend­
er would rebate is 1+2+3=6 h-1+2+3+4+5=
15, or 40 percent. The name derives from
the fact that 78 is the sum of the digits
from one to 12 and, therefore, is the
denom inator in calculating interest rebate
percentages for all 12-period loans.
Application of the Rule of 78 results
in the borrower paying somewhat more in­
terest than he would have paid with a com­
parable declining balance loan. How much
more depends on the effective rate of in­
terest charged and the total number of




9
payments specified in the original loan con­
tract. The higher the effective rate of
in te r e s t charged and the greater the
specified total number of payments, the
greater the am ount of interest figured
under the Rule of 78 exceeds that under
the declining balance method. (See chart.)
The difference between the Rule of
78 interest and the declining balance in­
terest also varies depending upon when the
prepayment occurs. This difference over
the term of the loan tends to increase up to
about the one-third point of the term and
then decrease after this point. For example,
with a 12-month term, the difference with
prepayment occurring in the second month
would be greater than the difference that
would occur with prepayment in the first
m onth; the third-month difference would
be greater than the second-month dif­
ference; the fourth month (being the onethird point) would be greater than both the
third-month difference and the fifth-month
difference. After the fifth month, each
succeeding m onth’s difference would be
less than the previous m onth’s difference.
Example 10: Suppose that there are
two $1,000 loans that are to be repaid over
12 months. Interest on the first loan is
calculated using a 5 percent add-on method
which results in equal payments of $87.50
due at the end of each month ($1,000 plus
$50 interest divided by 12 months). The
effective annual rate of interest for this
loan is 9.105 percent. Any interest rebate
due because of prepaym ent is to be deter­
mined by the Rule of 78.
Interest on the second loan is calcu­
lated using a declining balance method
where the annual rate of interest is the
effective annual rate of interest from the
first loan, or 9.105 percent. Equal pay­
ments of $87.50 are also due at the end of
each m onth for the second loan.
Suppose that repayment on both
loans occurs after one-sixth of the term of
the loan has passed, i.e., at the end of the

10

s e c o n d month, with the regular first
m onth’s payment being made for both
loans. The interest paid on the first loan
will be $14.74, while the interest paid on
the second loan will be $14.57, a difference
of 17 cents. If the prepaym ent occurs at
the one-third point, i.e., at the end of the
fourth month (regular payments having
been made at the end of the first, second,
and third months), interest of $26.92 is
paid on the first loan and interest of
$26.69 on the second loan, a difference of
23 cents. If the prepaym ent occurs later,
say at the three-fourths point, i.e., at the
end of the ninth m onth (regular payments
having been made at the end of the first
through eighth months), $46.16 in interest
is paid on the first loan and $46.07 in in­
terest paid on the second loan, a difference
of but 9 cents.

Bonus interest
Savings institutions are permitted to
pay interest from the first calendar day of
the month on deposits received by the
tenth calendar day of the m onth, and also
on deposits withdrawn during the last three
business days of a month ending a regular
quarterly or semi-annual interest period. If
a savings institution chooses to do this,
then it is paying for the use of the depo­
sitor’s money for some period of time dur­
ing which the savings institution does not
have the use of the money. The effective
rate of interest is, therefore, greater than it
would be otherwise.
Example 11: Suppose that on Jan­
uary 10, $1,000 is deposited in a bank pay­
ing 5 percent interest compounded daily
based on a 365-day year and that funds
deposited by the 10th of any m onth earn
interest from the 1st of that month. On the
following December 31, 355 days after the
deposit is made, interest for 365 days is
payable on the deposit, or $51.27. The
bank, however, had the use of the funds for




Federal Reserve Bank of Chicago
only 355 days. The effective rate of in­
terest, or that rate which when com­
pounded daily for 355 days would yield
the interest am ount $51.27, is 5.1408
percent.
Although savings institutions choosing
to pay interest for these grace periods are
prohibited from advertising an effective
yield which takes this into account, depo­
sitors should be aware of the effect such
practice has on the price paid for the use of
their money.

Charges other than interest
In addition to the interest which must
be paid, loan agreements often will include
other provisions which must be satisfied.
Two of these provisions are mortgage
points and required (compensating) deposit
balances.
Mortgage points. Mortgage lenders will
sometimes require the borrower to pay a
charge in addition to the interest. This ex­
tra charge is calculated as a certain per­
centage of the mortgage am ount and is
referred to as mortgage points. For ex­
ample, if 2 points are charged on a $10,000
mortgage, then 2 percent of $10,000, or
$200, must be paid in addition to the
stated interest. The borrower, therefore, is
paying a higher price than if points were
not charged—i.e., the effective rate of in­
terest is increased. In order to determine
what the effective rate of interest is when
points Eire charged, it is necessary to deduct
the dollar am ount resulting from the point
calculation from the mortgage am ount and
add it to the interest am ount to be paid.
The borrower is viewed as having the m ort­
gage am ount less the point charge am ount
rather than the entire mortgage amount.
Example 12: Suppose th at 2 points
are charged on a 20-year, $10,000 m ort­
gage where the rate of interest (declining

Business Conditions, September 1973

11

balance calculation) is 7 percent. The pay­
ments are to be $77.53 per month. Once
the borrower pays the $200 point charge,
he starts out with $9,800 to use. With pay­
ments of $77.53 a m onth over 20 years,
the result of the 2 point charge is an effec­
tive rate of 7.262 percent.
The longer the time period of the
mortgage, the lower will be the effective
rate of interest when points are charged
because the point charge is spread out over
more payments. In the above example, if
the mortgage had been for 30 years instead
of 20 years, the effective rate of interest
would have been 7.201 percent.

Example 13: Suppose that $1,000 is
borrowed at 5 percent from a bank to be
paid back at the end of one year. Suppose,
further, that the lending bank requires that
10 percent of the loan am ount be kept on
deposit. The borrower, therefore, has the
use of only $900 ($1,000 less 10 percent)
on which he pays an interest amount of
$50 (5 percent of $1,000 for one year).
The effective rate of interest is, therefore,
5.556 percent as opposed to 5 percent
when no compensating balance is required.

Required (compensating) deposit bal­
ances. A bank may require that a borrower
maintain a certain percentage of the loan
am ount on deposit as a condition for
obtaining the loan. The borrower, then,
does not have the use of the entire loan
am ount but rather the use of the loan
am ount less the am ount that must be kept
on deposit. The effective rate of interest is
greater than it would be if no compensating
deposit balance were required.




Summary
Although not an exhaustive list, the
methods of calculating interest described
h ere are some of the more common
methods in use. They serve to indicate that
the method of interest calculation can sub­
stantially affect the am ount of interest
paid, and that savers and borrowers should
be aware not only of nominal interest rates
but also of how nominal rates are used in
calculating total interest charges.
Anne Marie LaPorte

Federal Reserve Bank of Chicago

12

anking developments
Consumer deposit interest rates
P re lim in a ry evidence indicates that a
majority of district member banks raised
the rates they pay on savings and time de­
posits of less than $100,000 to the new
higher maximums perm itted as of July 1
and are offering ceiling-exempt, four-year
obligations with minimum denominations
of $1,000. The July amendments to the
Federal Reserve’s Regulation Q permitted
banks to compete more effectively for con­
sumer savings and thus slow the shift out of
deposits into other investments in response
to the sharp increase in market interest rates.
In the most recent quarterly survey of
time and savings deposits, almost twothirds of the 257 respondents in the
Seventh District said they were paying the
new 5 percent ceiling rate on passbook
savings in early August, while more than
three-quarters reported they had moved to
the new ceilings on the various m aturity
categories of time deposits. (The rate re­
ported for each category is the most
common rate paid on the largest volume of
new deposits.) In total, the survey banks
account for 80 percent of all member bank
savings and time deposits. The reporting
panel includes all district member banks
with deposits of $100 million or more.
Although smaller banks comprise 60 per­
c e n t of this panel, these respondents
include less than one-fifth of all the smaller
district member banks, and the survey
resu lts, therefore, may not accurately




represent the pervasiveness of the rate
adjustments that have taken place at the
smaller banks.
Among other things, the survey re­
vealed that a smaller proportion of the sur­
vey banks was paying the maximum rates
in early August than three m onths earlier
especially with respect to passbook savings
accounts. However, the ceilings applicable
in the earlier survey had been in effect
since January 1970, and many banks
adjusted to those levels only after a con­
siderable lag.
Although some banks do not offer
time deposits other than passbook savings,
of those that do, the vast majority tend to
offer the ceiling rate on such accounts.
The proportion of responding banks
that had not increased their passbook
savings rate to 5 percent by early August
was a relatively large 35 percent, and onesixth of these banks were still paying 4 per­
cent or less. Last May, only one-fourth of
the survey respondents were still below the
old 4V2 percent ceiling.
Reluctance to raise rates on savings
stems mainly from the large increases in
costs entailed in the application of the
higher rate to all outstanding accounts.
New high-rate time accounts may draw
former savings funds as well as new money,
but because the higher rates apply only to
new deposit contracts, the cost impact of
such a shift is relatively small while the
bank is assured use of th e funds over a
longer period.

Business Conditions, September 1973

13

In te re st ra te s paid on IPC time and
savings deposits under $1 0 0 ,0 0 0 by
2 5 7 d istrict member banks1

b e tw e e n A pril 30
an d July 31, 1973,
in contrast to a gain
of more than 2 per­
Tim e (by m aturity class)
cent in the compar­
Under
2Z 2 years
able period of 1972.
Savings
1 year
1-2 yrs. 1-2Vz yrs.
and over 4 years
Passbook savings at
Aug.
Aug.
M ay Aug.
May Aug.
May
May
these banks declined
0.7 percent in the
Maximum rate
three
months ended
(percent)
4.5 5.0
5.0
5%
51
/2
51
/2
6
61
/2
July
31,
1973, com­
Percent of banks:
pared with gain of
Paying maximum
n e a rly 2 percent
77
65
95 79
90
rate
81
93
77
during the compar­
Paying less
2 19
17
23
35
7
1
6
able period a year
Not offering
0
2
0
3
2
3
17
6
earlie r. Consumertype time deposits
1Based on quarterly surveys as of the end of April and the end of Ju ly but
including changes made the first week of August.
declined 0.2 percent
o v e r t h e th r e e
months ended July 31. When the four-year
Four-year, $1,000 minimum
obligations ($425 million issued in July)
are deducted from the totals, consumerThe most distinctive feature of the
type time deposits declined 4.4 percent.
July amendments to Regulation Q was the
The net decline from April through
removal of rate constraints from time
deposits carrying maturities of four years
July was concentrated at the large Illinois
banks. Total time and savings deposits of
or more in amounts of at least $1,000. This
exem ption was later modified to apply
individuals, partnerships, and corporations
(IPC) declined about 3 percent at 40
only up to 5 percent of a bank’s total time
and savings deposits. Of the survey respon­
Illinois member banks with total deposits
over $100 million.
dents, 87 percent of the large banks (total
deposits of $100 million or more) and 70
Whether or not there were stirrings of
a turnaround in August is questionable.
percent of the smaller banks reported offer­
ing some such instrum ent. Characteristics
Weekly data reported by 55 large district
varied widely—33 different combinations
banks indicate relatively small net inflows
of terms were reported. Rates ranged from
of consumer-type funds in August. The
6.75 percent to 8.50 percent; computation
total rose less than $40 million, or 0.2 per­
was from simple interest to continuous
cent, from August 1 to September 5. An
com pounding; minimum denominations
inflow of $330 million into the ceiling-free
varied from $1,000 to $25,000. The most
deposits in the period was largely offset by
common type was a $1,000 denomination
declines in savings and other time deposits
at 7 percent compounded quarterly.
subject to ceiling rates.
The possibility that future gains in
ceiling-free
deposits either will offset de­
Flows of funds
clines in other consumer-type deposits or
contribute to net inflows is uncertain. A
Despite the higher rates offered, total
Joint Resolution of the Congress directing
consumer-type time and savings deposits at
the regulatory authorities to take action to
the survey banks declined 0.5 percent
limit the rates of interest paid on deposits




2

14

of less than $100,000 at financial interme­
diaries has been forwarded to the President
for his signature.
■

Portfolio changes—first-half 1973
As would be expected in a period of
strong loan demand and increasing mone­
tary restraint, bank investment portfolios
declined during the first half of 1973. At
Seventh District member banks, all of the
decline was in U. S. Government securities.
Holdings of both municipals and federal
agency issues rose more than in the same
period a year ago. Much of the record loan
expansion was financed by a large net in­
flow of time and savings deposits.
Total loans of district member banks,
excluding sales of federal funds, rose $5.6
billion, or 12 percent, through midyear—a
record volume and more than twice the
rate of expansion in the comparable period
of 1972. Holdings of U. S. Treasury secur­
ities declined almost 15 percent, which
represented an offset of only about 22 per­
cent of the dollar increase in loans. On
June 30, 1973, loans comprised 71 percent
of total earning assets of all district mem­
ber banks, up from 67 percent a year ear­
lier. Governments accounted for less than
10 percent of total portfolios, down from
12 percent a year earlier. State and muni­
cipal obligations in the portfolios of these
banks rose by 3.5 percent in the first half.
They comprised about 15 percent of all
earning assets and more than half of invest­
ment securities held at midyear. Holdings
of U. S. agency securities rose 8 percent in
the first half but were still only 3.4 percent
of all loans and investments.
These portfolio developments reflect a
combination of normal cyclical adjustment
patterns and the composition of securities
supplied to the market. The trend over re­
cent years has been for banks to keep their
portfolios of U. S. securities, which yield
relatively low returns, within a fairly nar­
row band above the minimal levels consis­




Federal Reserve Bank of Chicago
tent with collateral needs against govern­
ment (federal, state, and local) deposits.
These holdings tend to increase in periods
of slack loan demand and falling interest
rates and to be liquidated when credit
markets tighten. Fluctuations reflect, in
part, changes in the trading accounts of
those banks that have dealer departments,
where inventory positions are affected both
by the volume of new Treasury offerings
and prospective changes in securities prices
implied by interest rate expectations. At
midyear, Government security portfolios of
all district member banks were below the
previous low of $7.1 billion reached in
June 1970, and continued to decline in July
and August.
One factor th at may have contributed
to the declining importance of Treasuries in
banks portfolios is the changed treatm ent
of capital gains under the Tax Reform Act
of 1969. With capital gains now treated as
ordinary income for tax purposes, banks
have a greater incentive to reach out for
h ig h e r-y ie ld in g assets than Treasuries.
Moreover, the recent emphasis on liability
m a n a g e m e n t has reduced reliance on
Government securities as a source of liqui­
dity. This undoubtedly has been enhanced
by the relaxation of ceiling rate constraints
in the CD market since mid-1970.
Holdings of other securities, by con­
trast, have followed a fairly steady upward
trend, reflecting both their higher net
yields relative to Treasuries, and sharply
increased supplies reaching the market.
Although the spread between short-term
Treasury and U. S. agency issues has been
reduced markedly in recent years, yields on
ten-year or longer agencies still averaged
about 40 basis points above their Treasury
equivalents in the first half of 1973. Per­
haps even a more im portant factor ex­
plaining the acquisition of agencies was
that net offerings of agencies in the first
half of 1973 were more than three times as
large as a year earlier.
Securities issued by states and muni-

Business Conditions, September 1973

15

accounts of individuals, partner­
ships, and businesses (IPC ac­
counts), obviated the necessity
to liquidate municipals or even
Securities
to slow the rate of acquisition
2
U. S. Govt.
Fed. Aqencv
State and local
Loans
significantly.
Percent change—first half of 1973
How do the asset changes at
3.5
7.7
11.9
-14 .6
District
member banks in the first half of
3.1
4.9
-11 .4
Illinois
15.3
1973 compare with those of the
5.5
8.4
10.3
-15.2
Indiana
same
period of 1969, when a
5.3
13.8
-14 .5
9.1
Iowa
similar rise in short-term interest
3.8
9.9
8.0
-18.1
Michigan
.5
12.4
rates was taking place? Liqui­
-20 .6
9.2
Wisconsin
dation of Treasury securities was
Percent of total loans and investments, Ju n e 30, 1973
almost the same in both years.
14.6
3.4
9.8
71.0
District
Other securities rose less in 1969,
14.0
3.5
9.6
71.5
Illinois
with declines in agency issues
15.0
10.7
3.6
69.3
Indiana
15.8
6.1
13.5
64.1
Iowa
offsetting a substantial rise in
15.9
2.7
71.1
9.3
Michigan
municipals. Loans on the banks’
12.5
3.2
8.7
74.8
Wisconsin
balance sheets grew by only 3
percent in the first half of 1969,
1 Excludes corporate and other securities comprising about 1
percent of total loans and investments.
as the major source of loanable
2 Excludes federal funds sold and securities purchased under
f u n d s —in flo w s o f tim e de­
resale agreements.
posits—dried up as market yields
moved above maximum legal deposit in­
cipalities, generally exempt from federal
terest rates under Regulation Q. During the
taxes, have comprised a steadily rising share
first half of 1973, IPC time and savings
of bank investment portfolios. Earnings are
undoubtedly a major factor in this growth.
deposits for the district as a whole in­
creased by $3.3 billion, or 9 percent, the
On a net after-tax basis, yields on ten- and
major portion of which consisted of CDs in
30-year prime municipals have averaged
denominations of $100,000 or more. For
about 90 and 160 basis points, respectively,
the same period in 1969, IPC time and
above comparable Treasuries through most
savings deposits decreased by more than
of this year. Commercial banks are a major
$300 million. During the earlier period,
market for securities of local governments,
however, the large banks were acquiring
and they often underwrite general obli­
funds by borrowing in the Eurodollar
gation issues. Furtherm ore, the purchase of
market and by selling loans.
tax anticipation notes of these entities is
For the most part, asset changes in the
clearly an im portant way that banks supply
credit in response to community needs.
first six months of 1973 on a state-by-state
basis are similar to the district pattern. (See
Nearly half of all outstanding state and
table.) Illinois member banks recorded the
local government debt obligations are held
greatest increase in loans and the smallest
by banks, and their expansion in bank p ort­
decline in Treasury securities. Private time
folios is closely related to the volume of
and savings deposits increased by 13.7 per­
financing. The pace of the banks’ acqui­
cent in Illinois. This was the largest increase
sition of these issues is affected, of course,
for any state in the Seventh District and is
by their ability to attract funds in relation
mainly attributable to the issuance of large
to c u s to m e r credit demands. Deposit
certificates of deposit by Chicago money
growth in the first half of 1973, paced by
market banks.
■
the 9 percent gain in time and savings

Strong loan demand is reflected
in the a s se t portfolios of
d istric t member banks