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Federal

reserve

Ba n k

DALLAS, TEXAS

o f

Da l l a s

75222

C r u a No. 70-246
iclr
October 2 , 1970
0

PROPOSED AMENDMENTS TO REGULATION Q

To All Member Banks
in the Eleventh Federal Reserve District:

The Board of Governors of the Federal Reserve System on October 12, 1970,
announced the following proposed amendments to Regulation Q that would permit
member banks to pay simple daily interest and interest compounded daily or
continuously by using 360 or 365 as the denominator of a fraction in which the
numerator generally is the actual number of days the deposit earns interest:
(1) By changing § 217.3(e) to read:
(e)
Computation of interest on time deposits. In the computation of
simple daily interest, the time factor should be expressed as a fraction in which
the actual number of days the funds are on deposit is the numerator, and the
denominator is either 360 or 365. When a time deposit matures in one month
(or multiples thereof), the bank may use 30 days in the numerator (or correspond­
ing multiples thereof).
(2) By deleting the last sentence of § 217.6(b).
Printed on the reverse side are further observations by the Board in connection
with the proposal.
To aid in the consideration of this matter by the Board, interested persons are
invited to submit relevant data, views, or arguments. Any such material should be
submitted in writing to the Secretary, Board of Governors of the Federal Reserve
System, Washington, D.C. 20551, to be received not later than November 16, 1970.
Such material will be made available for inspection and copying upon request, except
as provided in § 261.6(a) of the Board’s Rules Regarding Availability of Information.

Yours very t u y
rl,
P E. C l w l
.
odel
Peiet
rsdn

This publication was digitized and made available by the Federal Reserve Bank of Dallas' Historical Library (FedHistory@dal.frb.org)

EXPLANATORY COMMENTS

The effect of the proposed amendments can
best be viewed in the light of the methods of
computing interest presently permitted:
a. The maximum rate of simple interest that
a member bank may pay on a deposit is established
by § 217.7. In January 1970, the Board estab­
lished certain rates on deposits with a maturity
of “ 1 year or more.” To qualify for a rate that
may be paid on such a deposit, the deposit must
not mature before one full year — 365 or 366
days as the case may be — from the date of
deposit.
b. The formula for continuous compounding
is A = PeRN, where A is the final amount, P is
the amount on which interest is compounded,
e is the base for N aperian or natural logarithms,
R is the nominal rate, and N is the number of
years. A t the present, in view of the intent of
§ 217.3(e), in expressing the number of years,
the num erator is the actual number of days the
funds are on deposit — except if the grace periods
of § 217.3(e) apply — and the denominator must
be 365. If the proposed amendment is adopted,
the denominator could be either 360 or 365. This
would be consistent with § 217.3(a), which pro­
vides that the effects of compounding may be dis­
regarded in determining whether a member bank
is paying interest in excess of the rates established
in § 217.7. For example, on a deposit made on
February 1 for one month the time element could
be expressed as 30/360 or 30/365 rather than
28/360 or 28/365.
c. The formula for other than continuous com­
pounding is A = P (1 + R /M ) N, where A is the
final amount, P is the amount on which interest is
compounded, R is the nominal rate, M is the num­
ber of compounding periods in a year, and N is

the actual number of periods for which interest is
compounded. A t present, when compounding in­
terest daily, the number of compounding periods
in a year must be 365. Again, if the proposed
amendment is adopted, the denominator could be
either 360 or 365. F or example, a bank could com­
pound 5 per cent interest daily on a $10,000 de­
posit for 91 days in accordance with either of
the following: A - $10,000 (1 + .05/360) < or
91)
$10,127.20; or A — $10,000 (1 + .05/365) < or
9l>
$10,125.40.
d.
The form ula for computation of simple inter­
est is A = PRT, where A is the final amount, P is
the amount on which interest is computed, R is the
nominal rate, and T is the time period. In stating
the time period § 217.3(e) presently authorizes
(1) the use of 360 in the denominator only with
respect to deposits of 30 days or multiples thereof,
and (2) the use of 30 (and multiples thereof) in
the num erator on a deposit for one month (or
multiples thereof). The proposed amendment
would (1) authorize the use of 360 as the denomi­
nator for any deposit, and (2) continue the pres­
ent practice of authorizing a bank to consider 1
month as 30 days. For example, a bank would be
permitted to consider the time factor for simple
daily interest on a 365-day deposit as 365/360 or
365/365. On a 360-day deposit, the factor could
be 360/360 or 360/365; it could not be 365/360.
The present provisions for technical grace periods
are derived from the current requirement for 365
in the denominator for deposits with maturities of
other than 30 days, or multiples thereof. Since the
proposed amendment would authorize the use of
360 in the denominator on all deposits, the refer­
ences to such grace periods in the caption of
§ 217.3(e), and in the third sentence of § 217.6(b)
would be deleted.


Federal Reserve Bank of St. Louis, One Federal Reserve Bank Plaza, St. Louis, MO 63102