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Working Paper 77-l

THE COST OF MEMBERSHIP IN THE FEDERAL RESERVE SYSTEM

Walter A. Varvel

Federal Reserve Bank of Richmond
March 1977

The views expressed here are solely those of
the author and do not necessarily reflect the
views of the Federal Reserve Bank of Richmond.

THE COST OF MEMBERSHIP IN THE FEDERAL RESERVE SYSTEW

The disadvantages or "costs" associated with membership in the
Federal Reserve System, apparently increasing in recent years, have resulted in many existing banks withdrawing from the System and a large
majority of organizing banks choosing nonmember status.

Between 1960

and 1976, the percentage of banks electing System membership fell from
46 percent to 39 percent while the share of total deposits held in member
banks has fallen over the same period from 84 percent to 74 percent.
Recently, relatively large banks have joined this exodus from the System.
These trends have generated interest in two important issues:

(1) the

impact declining membership has on the Federal Reserve's control of the
nation's money supply, and (2) the opportunity cost of System membership.
This study is concerned with the economic motivation for bank withdrawals
and, therefore, is limited to an examination of the second of these issues.
Previous research suggests

that the primary reason for declining

System membership is the differential effective reserve requirements imposed on member and nonmember banks.

The Federal Reserve, with high

reserve requirements relative to those of most states, forces member banks
to hold a larger portion of their assets in nonearning form than most
nonmembers.

This disadvantage (advantage to nonmembers) becomes increasingly

important to bankers as more emphasis is placed on earnings and as interest
rates reach higher levels as has been the case in recent years.

In addition,

the increasing competition between commercial banks and thrift institutions

*The author would like to recognize the considerable assistance of
Marsha Shuler and Bernie Hill of the Federal Reserve Bank of Richmond in the
accumulation of data and statistical analysis included in this paper.

-2has forced bankers into a more careful evaluation of their competitive
positions.
It has been argued that nonmember banks can earn higher profits
and/or offer more attractive terms to borrowers and depositors than member
banks.

Thus, the "cost" of membership in the Federal Reserve System is

said to be borne primarily by two groups of individuals:

(a) bank stock-

holders who, through membership in the System, forego some additional
return on equity obtainable through nonmember status, and/or (b) customers
of member banks who pay higher loan rates for a reduced volume of credit,
increased service charges on demand deposits, and reduced remuneration for
time deposits.
System reserve requirements are said to place member banks at a
competitive disadvantage relative to nonmembers.

Bankers, believing that

bank performance can be improved by changing their membership status, have
withdrawn from the System at an increasing rate in recent years.

The

Federal Reserve's proposal for a uniform set of reserve requirements for
all commercial banks, though advanced on the grounds that it would enhance
the monetary authorities' control over the nation's money supply, would
reduce the costs associated with membership and could be expected to curtail
the exodus of banks from the System.

In the absence of such legislation,

however, alternatives designed to minimize the loss in membership by eliminating its competitive disadvantages are being explored.

The reduction of

selected reserve requirements and the payment of interest on reserve balances
held at the Fed, for example, are being examined in this respect.'A
1
The Board of Directors of the Federal Reserve Bank of Boston, in
a recent report [2], endorsed and recommended to the Board of Governors both
proposals as solutions to the membership problem. The present study was
originally prepared for use by the Federal Reserve System Committee on Research,
Public Information, and Bank Relations in their deliberations on the membership
issue. This Committee has made similar recommendations. A final solution to
the membership problem, if forthcoming, will most likely require legislative
action.

-3-

prerequisite to implementation of such proposals, however, is knowledge
of the extent to which member banks of different circumstances are penalized.
The present study will attempt to measure the cost of membership for banks
of different sizes and different locations and identify particular groups
of banks whose membership status is most sensitive to cost factors.

Previous Evidence
Recently, a survey of 250 banks selected randomly from all banks
withdrawing from the Federal Reserve System between 1965 and 1974 asked
respondents to rank several commonly discussed advantages and disadvantages
of System membership. The most important advantages of membership cited by
withdrawing bankers were access to the Fed's discount window and the free
shipment of coin and currency while the overwhelming disadvantage was found
2
to be restrictive reserve requirements.

When asked why the banks had chosen

to leave the System, almost two-thirds of withdrawing banks indicated reasons involving reserve requirements. A majority of respondents cited an
increase in earnings brought about by the ability to invest more cash in
earning assets as the prime objective realized through withdrawal.

The

results were consistent for all sizes of banks and for banks in states with
low, medium, and high state reserve requirements.3 This is not too surprising
since withdrawals were heavily concentrated in states with less restrictive

2Over 90 percent of the respondents listed reserve requirements
as the most important disadvantage of membership (12, p. 471.
'A comparison of statutory reserve 'requirementsbetween states
is difficult considering the diversity of state requirements with respect
to types of deposits covered and assets qualifying as reserves. A classification of states according to effective reserve requirements (high, medium,
low), based on cluster analysis groupings, is provided in [4]. "Effective"
reserve requirements refer to that portion of reserves that are required to
be held in the form of nonearning assets.

-4-

effective reserve requirements than the Federal Reserve and, although
required reserves for nonmembers were considered high in some states, for
the most part they remained below System levels even in such cases.
The results of the survey indicate that withdrawing bankers felt
strongly that the high levels of System reserve requirements inhibited the
performance of their banks.

An expected improvement in earnings appears

to have been the primary incentive for their withdrawal.

This survey sup-

ports the results of empirical investigations designed to measure performance
differences between member and nonmember banks and gains realized by withdrawing banks.
The "cost of membership" has been associated with the difference
in the set of performance characteristics (with emphasis on profits) between
the two groups. A study of Illinois banks provides a measure that probably
approximates the maximum cost of membership to commercial banks [9]. Nonmember banks in Illinois, facing no state reserve requirements, experienced
higher rates of return than member banks during the 1961 to 1963 period.
This was a result of nonmembers holding a higher proportion of earning
assets, particularly loans, in their portfolios than members.

Similar

results were found in a study of banks in South Carolina [3], a state with
moderate reserve requirements. Evidence predominantly from Ohio [lo],
however, found no difference between member and nonmember banks in the same
size categories. Differences in performance characteristics between banks
in individual states, therefore, have paralleled differences between state
reserve requirements and Federal Reserve requirements. The impact of System
membership on bank performance appears to increase as state reserve requirements decline relative to Fed requirements. As the impact of differential
reserve

requirements varies across states, the incentives for banks to withdraw

-5-

from the System undoubtedly differ among states.
A recent study by Rose [ll] provides further evidence that
membership has imposed an opportunity cost on member banks.

His results

suggest that the cost of membership may also vary across deposit size
classifications. Comparing rates of return for all member and insured
nonmember banks within different deposit size classes, Rose found that
member bank earnings were significantly lower for each category up to
$100 million in deposits.

No statistically significant earnings difference

was detected between member and nonmember banks in larger deposit categories.
Brimmer (11 investigated the effect of changes in membership
status on bank performance and found that banks leaving the Federal Reserve
System decreased their cash to asset ratios and most increased their
earnings ratios.

Gilbert and Peterson [S] paired withdrawing banks from

throughout the nation with comparable member banks and found that banks
experienced lower cash holdings, more loans, and significantly higher
profits following withdrawal relative to banks remaining in the System.
Rose, Fraser, and Shugart [13], using a similar procedure for banks in
Texas (where effective reserve requirements are considered high but less
restrictive than the Fed's), also found that withdrawing banks held a larger
fraction of earning assets than comparable member banks.

Nonmembers did

not, however, experience greater earnings due, apparently, to member banks
charging higher rates on loans and fees on deposit accounts.
The paired-bank approach has provided valuable evidence on the
effects of withdrawal on bank performance.4

Rose, Fraser, and Shugart

paired a sample of withdrawing member banks in Texas with a control group

4Lawrence [8] used a similar methodology in his study on the effects of bank holding company affiliation.

-6-

of nonmembers of similar size and location. By comparing performance
data between the two groups over a three-year period prior to withdrawal,
the authors hoped to measure any competitive disadvantage that might have
been imposed on member banks.

Continuing this comparison for three years

following withdrawal showed whether withdrawing banks were able to eliminate
any disadvantage present.

The change in the difference between groups before

and after withdrawal measured the gain to be realized from withdrawal.

The

cost of membership, therefore, is reflected directly in bank performance
within a statistical design which measures the impact of alternative regulatory requirements by holding such other factors as bank size and local
environment constant. This approach provides a wealth of information on
the membership problem in Texas.

Analogous information is needed for states

of varying reserve stringencies.
Gilbert and Peterson [S] also used a before-after analysis of
paired banks in their study by expanding the geographical scope to include
banks from throughout the nation that changed their membership status.
Though aggregating banks of different size from states with divergent reserve requirements provides an expanded awareness of the membership problem,
the analysis fails to identify particular groups of banks whose membership
status is most sensitive to cost factors. The present study will examine
this aspect of the problem through a similar procedure that segments banks
for comparison by stringency of state reserve requirements and by bank size.

The Membership Issue Within a Simple Utility Framework
Comparatively restrictive System reserve requirements and the
desire to improve bank profits may have provided considerable impetus to
bank withdrawals from the Federal Reserve. The assumption of profit maximization as the sole motivating force in banker's membership decisions

-7-

provides a convenient framework within which the competitive disadvantage
or cost associated with System membership can be approximated.

It my,

however, neglect an important benefit not totally reflected in profit
levels that may partially offset lower earnings by member banks.
Bankers' perceptions of the magnitudes of the costs and benefits
of membership undoubtedly vary both between and within states with reserve
requirements that differ from those of the Federal Reserve System.

costs

and benefits of membership may differ between states due to differences
in state reserve regimes and diverse economic conditions. Even bankers
within the same state, however, facing identical circumstances and experiences, may interpret these costs and benefits differently because of
different risk-return preferences.

Aggressive bankers seeking to maximize

profits may accept greater risks and be willing to accept greater variability in their bank's earnings stream from year to year than others to
whom stable earnings are more important.
The generally more liquid asset portfolio mix of members relative
to comparable nonmembers in many states may work to insulate member banks
from wide variations in earnings over periods with diverse credit conditions-at the cost, however, of lower average earnings. Access to the Federal
Reserve's discount window may have additional implications for the stability
of bank earnings as well as the level of earnings.

If temporarily illiquid,

banks usually seek to strengthen their cash positions by borrowing through
the least expensive method available. During periods of high interest rates,
the Fed's discount rate is normally below market interest levels.

Borrowing

from the Federal Reserve during such periods may cushion the impact on member
bank earnings relative to comparable nonmembers forced to borrow from more
expensive sources.

Discount window administration may, however, impose extra

-8-

costs on borrowing banks in such situations. Periods of low or moderate
interest rates, however, are usually accompanied by discount rates slightly
higher than market levels. The privilege of borrowing from the Fed's discount window is less evident during such periods.
This discussion assumes that member banks are in sufficiently
sound financial condition to gain access to credit markets.

If this is

not the case, access to the discount window is an incalculable benefit
that, in an extreme case, may allow the bank to avoid failure. The discount window's role in the prevention of bank failure likely affects an
individual banker's conception of risk to a degree beyond that represented
by variability in earnings.

The latter, however, is measurable and, except

for extraordinary circumstances, reflects much of the uncertainty facing
bankers.

For this reason, earnings variability is used as a revealing, yet

imperfect, measure of bank risk.
It is not possible to quantify individual bankers' preference
functions in terms of a trade-off between risk and return.
generalizations, however, may be made.

Some useful

Profit maximizing, risk minimizing

bankers prefer mOre earnings to less at given levels of risk.
less risk is preferred to more at given levels of earnings.

Similarly,

These state-

ments form a simplified utility function which relates the utility derived
from an earnings stream to the expected level of profits (7) and a measure
of risk (R) associated with that earnings stream:
U * U(i?,R);

au/a% > 0, au/aR < 0 .

Bank management, representing the interests of bank owners, are
assumed to conduct the operations of the bank in a manner that will maximize
the utility of its owners, i.e., attain those combinations of profit and
risk preferred by owners. Within this context, alternative bank portfolio

-9-

mixes and pricing policies and the decision concerning regulatory status
are weighed in an effort to maximize owners' utility.
Within this general utility framework, the motivation for banks
to withdraw from the Federal Reserve System is present whenever such action
improves bank profits without a related increase in owners' risk or reduces
risk without harming profits.

A combination of increased profits and re-

duced risk would clearly favor withdrawal.

Positions of larger (smaller)

earnings and higher (lower) associated risk are ranked in owners' preference
functions according to their individual trade-offs between risk and returninformation that is not available.

No unambiguous definitive statement

concerning incentives for withdrawal is possible with such combinations.
They may explain, however, why some banks remain in the System, for example,
even though they experience lower profits than they could obtain through
withdrawal.

If lower earnings for members are accompanied by reduced

earnings variability as hypothesized, the more profit-oriented banks may
choose nonmember status while the more risk-conscious banks are induced to
retain membership in the System.

Methodology
The hypothesis was tested by pairing individual banks that withdrew from Federal Reserve membership between 1965 and 1969 with member
banks in the same locality and of equivalent deposit size.

Two hundred

ninety banks (145 pairs) were selected from eight states in which withdrawals
were most heavily concentrated--Illinois, Indiana, Iowa, Miehigan, Missouri,
Pennsylvania, Texas, and Wisconsin.

Earnings performances (mean earnings

- 10 and coefficients of variation of earnings)5 of the paired banks were
compared over five-year periods both before and after the withdrawal from
the System by one of the banks.

Through use of paired t - tests,6 sta-

tistically significant differences were sought (1) within Illinois, Indiana,
and Texas banks across banks of all deposit sizes and (2) within all eight
states across banks of different deposit sizes.

The first test was chosen

to examine whether the incentives for withdrawal, if present, vary between
states with different state reserve requirements. The three states were
chosen since they experienced the greatest number of withdrawals during
the period and represent liberal, moderate, and restrictive state reserve
regimes, respectively. The second test examined how these incentives differ
between banks of different size.

The eight states were considered together

since the effective reserve requirements in all are less restrictive than
the Federal Reserve's.

Identical tests were conducted on several key

portfolio and price variables in an attempt to measure the impact of differential reserve requirements on the operating policies of banks.
Comparing paired banks over the five-year period prior to withdrawal (while each are members) may identify distinguishing characteristics

5The coefficient of variation, defined as the standard deviation
of expected earnings over time divided by its mean, has been used frequently in recent years as a measure of relative risk [6, 7, 14, 15, 161.
Since it is thought to be an appropriate measure of risk due to the variability of cash flows, the coefficient of variation of net income/equity
is the measure of risk used in the present study.
'The appropriate "t" statistic is defined as

where -s is the mean of the variable for the withdrawing banks, -G is the
mean for the member banks, and oD is the estimated standard error of the
difference between the two sample means.

- 11 -

of banks that eventually withdraw from the System.

Comparisons over the

five years following withdrawal identify performance differences between
member and nonmember banks operating under identical circumstances with
the exception of different reserve requirements. The change -in the
difference between paired banks from the period preceding withdrawal to
the period following such action should suggest the incentives present for
withdrawal and perhaps identify the costs associated with maintaining
membership.

The costs to member banks, therefore, are sought through an

approach that tests whether or not members are forced to operate at a
competitive disadvantage.

If members do experience lower earnings than

comparable nonmembers in some situations, the explicit consideration of
a measure of risk examines whether or not this cost of membership is
offset to some degree in owners' preference functions.

Empirical Results From Comparisons By State
Tables 1, 2, and 3 present the results of the statistical tests
performed on paired banks in Illinois, Indiana, and Texas, respectively.
Prior to Withdrawal.

Withdrawing banks in Indiana and Texas

did not have different earnings experiences from other member banks prior
to withdrawal.

Those in Illinois, however, had very poor profit experi-

ences relative to the members they were paired with.

In addition to lower

rates of return, withdrawing banks in Illinois also experienced earnings
with a higher degree of variability during the earlier.period.
Withdrawing banks in Indiana and Texas tended to take a somewhat
aggressive posture with regard to portfolio mix and/or pricing of bank
services. They held less cash balances and reserves with the Federal Reserve
than their comparable member banks prior to withdrawal.

The Texas banks

TABLB

1

DIPPERENCESDETUEEN PAIREDBAUKS It#.I%LINOIS
(38 Pairs)

.
Mean Before Withdrawal
Hamber VlthdravinB
Banks
Banks
Differaoco

Variable

Umber

?baa Chanm

Ham After Withdrawal
WIthdravinB

Banka

Banks

-

Dif f eraace

ia Diffaranco

(Aftor-BeforeL

Cash

.x373

.1437

.0064
(0.022)

,120S

.OS67

“2

Demand Balanca~With Banks

.0646

.0720

.OOS2
(1.038)

,059o

.0803

“3

Curraaey, Coin, b Besarve
v:th Fed/Total Deposits

.0774

.0753

-.0022
(-0.978)

.0634

.0122

“1

Time A SavingsDaposita/
Total Dapoafta

.4532

.4766

.0234
(1.261)

.5634

.5691

“5

U.S. oov't. Securitica/
Total Aeaets

.3185

.3174

-.OOll
(-0.053)

.2141

.2121

Total Loans/
Total Aeeeta

.4139

-.0121
(-0.696)

.b370

v7

Total

Capital/
Total Assets

.0007

.0828

.0021
(0.544)

.075S

.0739

-.OD19
(-0.633)

.0377
(2.067)
**1,
-.0040
(-1.5SS)

“8

Total Capital/

.1658

.1679

.go21
(0.173)

.12Sl

.lllO

-.0171
(-1.393)

-.0192
(-2.203)

“9

Com~arcial6 Industrial
Locine/Total
Assets

.061b

.0590

-.0024

.0662

.OSSl

v10

CQOsumar

.lllO

.1019

-.0091
(-0.780)

.1188

.1206

.0219
(2.514)
kk*
.OOlS
(Q.157)

.0109
(1.141)

6 Dust
Total Aaasta
in U.S./Total

Deposits

-.0342
(-3.913)

-.0106
(-5.065)

lk*k

lkkk

.0213
(2.377)
kk&
-.0512
(-19.509)
Irk**
.0057
(0.436)

.0130
(1.325)
+
-.0490
(-15.380)
****
-.0177
(-1.339)
l

“6

.4017

.4627

-.0020(-0.098)

-.0009

(-0.054)

.0256
(1.505)

-

l

l

Risk Aeseta

l

Loana/

(-0.266)

Total Loaae

l*k

.0243
(3.027)
lkkk

V11

Ppa Loane/
Total Aesota

.1021

.1135

.0114
(0.675)

.0972

.1053

.0080
(0.523)

-.OD33
(-0.421)

VI2

Real Betate Loana/
Total Asset.

.127S

.1075

-.0203
(-1.762)
I*

.1423

.1287

-.0137
(-1.167)

.0067
(0.726)
I

..

_.

-

-~

-

-

-

TABLE

Varlablo
PPICESI
Vl3 ktarcat 6 Per8 on
I.oana/Total
Loans
Vu

Service Chargemon DapoaltAccounts/TotalDemand Dapoalta

1 (CONXINIEJJ)

klaaaBefore
Wlthdraval
Haabar Wltbdravlag
Banks
Bankm
Dltforeaco
.

Maan After Uitbdr~al
Uambar Withdrawing
Banks
Dltierance
A!!!9

on Dapoaitd

JArtar-Rotorok

-.OO07
(-0.566)

.0701

.0696

-.0005
(-0.0360)

.0002
(0.155)

.0053

.0038

-.0015
(-2.382)

.0054

.0037

-.0018
(-2.665)
***
.0018
(2.583)
***

-.0003
(-1.099)

.0036
(4.659,
****
.0024
(2.816)
****

.0318

.0323

.oOO5
(0.674)

.0416
.

.0434

.0438

.0428

-.0010
(-1.010)

.0550

.0576

0026
(2.848)

.0334

.0341

.0007
(0.542)

.b437

.0468

.on31
(2.269)

.0014
(1.686)
*

l**c

V17 Opcrrating
lkpanaaa/
Total Asaata

l**

PROFITABILITY:
Via Nat OporatlngBsrnings/
Equity

.1346

.1074

-.0272
(-3.538)

.1346

.1072

-.0274
(-3.563)

.OOS7

-.0016
(-2.426)

.1554

.1528

-.0026
(-0.232)

.1545

.1511

-.0034
(-0.296)

.0246
(2.101)
***
.0240
(2.037)

.0113

.0108

-.0005
(-0.653)

.OOll
(1.636)

.1134

.1186

.0052
(0.630)

.0213
‘2;;~“’

.1126

.1172

.0046
(0.553)

l***

VI9

Net OperatingE8rni~a/
Total Capital

la Dlffora

.0593

TIma 6 SavingsDapoalta
EPPICIENCYI
$6 operatin bv8nu8/
Total Assets

Chanea

.0600

l**

V15 Interest

ban

l***

l**

l

l**

Vzl Nat Income/
equity

.0865

.0704

-.0161
(-2.149)

Vi2 Nat Incoma/
Total Capital

.0865

.0702

-.0163
d-2;‘,‘,“’

V23 Nat Iaccess/
Total Asaata

.0069

l**

.0058

-.OOll
(-1.612)
*

.0083

.im84

.0209

.

.OOOl
(0.169)

(2.318)
***
.0012
(y3)

I

TABLE1 (WNTINUED)

Qarlable

Uean Before Wlthdraval
Hambet Wlthdr8vlng
Banka
Difference
Banks

Hean After Wltbdraval
Hamber Wltbdravlag
Banks

Banks

.0386

.1958

t&an Cbanae

la Dlfferencm

(Af ter-Dofor@

CROWIN:

Q24 GrowthRate of Net
Income/Equity
Q25 GrovtbRate
of Depoaltm
QAuIABILIrQ:
Q26 Coatflclentof Qatlatlon
of Nat Incoma/Equlty
Q27 Goefficientof Qarlatlonof
Growth Bates of Net Income/
eq’m

l
l*
l**
l***

-.0226

-.4611

-A363
(-0.974)

.0670

.0892

.0023
(0.162)

.1099

.4507

1.3564

.9077
(1.754)

.3560

.1236
(2.398)
kkh

1.4402

.1179

.3550

l*

1.2466

Slgoiflcant
at the .80 confldancolaval.
Significant
at the .90 confldencolevel.
Significant
at the .95 confldeocolevel.
Significant
at the .99 confldancelevel.

1.3704

.1572

(1,098)

.5955

(1.271)

(0.676)

.OOit
(0.380)

-.OOlO
(-0.010)

(-1.729)

.ooao

-.9087
l*

1.3717

-.0685

(-1.229)

-.1922
‘-‘,;‘,‘,a’

TABLE2
DIFFEREWCBSUE?UEW PAIRRD BAUKS IU.ItUhUA
(21 Pain)

Variable

'

POuTFOLIOmktP091?10#r
91 Cab 6 Dua/
Total Arretr

Uean Before Withdrawal
Umber
Ulthdrauina
Baakr
Banks Dlfferonce

Wean After Withdraw1
Withdrawing
Bank8
Banke
Diffarmcm

Wean

Chanre in Difference

Hembar

Wtar-Before)

-.0303
'-~;%~O'

-.0169

.1194

.0722

.0644

-.0065
(-0.034)

.0520

.0589

.OD68
0.198)

.0133
"J~O'

.os42

.0667

-.0176
'-,';m;"

.0750

.0145

-.0605
(-:;wi')

-.0429
(-i;MZl)

V4 Tin 6 SaviagrDapoeltm/
Total Depooitm

.4311

.444i

.0132
(0.419)

.5507

.S699

.0192
(0.652)

.0059
(0.419)

VI

.3457

.3330

-.012s
(-0.497)

.2492

.1826

-.0666
(-2.501)
*i*

.I3900

.3969

.0069
(0.312)

.4097

.4740

.1455

.1285

V2 Demand BalancamWith Bank.
in U.S./TotalDeporltr

.0709

V3 Currency, Coin, 6 R*srrve
ultb Fed/Total Depoaitm

U.S. Cov't.

Securitier/

Total Ansets
Vg

Total Loam/
Total Aesate

‘-2;$0’

-A472
‘4;*9~6’

.0643
l**

.OS19

.0795

-.OD24
(-0.634)

.0770

.0740

-.0039
(-0.983)

VS

Total Capital/
Rlek Ass&e

.1803

.1595

-.0208
(-1.117)

.1348

.1014

Vg

Comercial 4 Industrial
Loam/Total Aeretm

.0420

.OhSO

A060
(1.115)

.0453

.0683

.1089

.0911

-.0178
(-1.356)
1
.0034
(0.220)

.1196

.1119

-.0333
(-2.155)
aI*
.0230
(2.535)
Ir*4
-.0077

Vll Pmn

Loud
Loans

.0574
0.2.;5

(2.457)

V7 Total Capital/
Total Aaaete

810 Coommar
Total

-.0538
“2;J~8’

Lomlr/

.0745

.0779

VIZ Real Estate Loan*/
Total Amnets

.1574

.1719

Total Asrcts

.0145
(0.766)

-.Dou
(-0.672)
-.0126
(-1.364)
l

.0170
(2.631)
*t*
.OlOl
(1.128)

(-0.441)

.0733

.0807

.0074
(0.424)

.OOhO *
(0.596)

.1617

.2011

.0394
(2;:f)

.0249
(1;$98)
I

TABLE 2 omrrIwm)

Veriable

Neon Before Withdreval
Nember ifitbdrevlng
Difference
Benke
.Banke

Naan After

Member
Benke

Withdreval
Vithdreving
Banke Differrnco

hen

Chense
.(Af

fn Difference

ter-Beford

PPICss1

V13 IatereetL Peer on
loewlTot81

.0631

.0622

Loan8

Vl4

ServiceChergeeon DepoeitAccounte/?otelDemand Depoeite

.0024

.0025

Vls

Intereeton Depoeite/
Time L SavingsDepoeite

.0282

.0299

xFPICIENcYr
V16 OperatingRevenue/
Total

PROFITABILITY:
V18 Net OperatingEerning8/
Bqu:w

.OOOl
(0.070)
.OOlb

.0699

.0701

.0002
(0.197)

.OOll
(0.902)

.0030

.0024

-.0006
(-1.161)

.0411

.0425

.0014
(1.895)
**

-.0006
(-2.693)
***
-.0003
(-0.309)

.0029
(2.908)
****
l0025
(2.167)
***

.0023
(3.722)
****
.0022
";f;"'

(1,500)
4

.0423

.0429

.0006
(0.842)

.0532

.0562

.0316

.0319

.oOo3
(0.289)

.0411

SO436

.1366

.1402

.0035

.1572

.1714

.0142
(1.594)
4

.0107
(1.017)

.0137
(1.552)
*
.OOOb
(0.433)

.0102
(0.983)

Aeeete

V17 OperatinRRepeneeej
Total Aaeete

-.0009
(-0.613)

(0.316)
.1366

.1402

.0035
(0.316)

.1572

.1709

l0107

.OllO

.OOOb
(0.395)

.0121

.0125

.0881

.0914

.0032
(0.456)

.1114

.1311

V22 Net Incove/
Total Capital

.0881

.0914

.DD32
(0.456)

.1114

.1309

V23 Net

.0071

.0002
(0.295)

.00&5

Vlg Net Dperat1nRRaral~e/
Total Capital

Incae/

Total Aeaete

.0072

.0198
(3.463)
****
.0195
(3.424)
****

.0097

.OOll
(1.727)
**

.OOOl
(0.090)
.0166
(2.148)
l **

.0163
(2.128)
***
.0809
(1.656)
*

TABLE 2

(GONTINDRD)

Uean Before Withdrevel
Nemher Withdreving
Benkq
Difference
Bank0

Verieble

Hsen After Withdreval
Hember Withdreving
Benke
Differeace
Benk8

ken Cheaae la Differeace

V24

Crovth Rete of Net
Income/Equit~

.1589

.3457

.lB6B
(0.278)

.6348

.1429

-.4920
(-0.990)

-.6787
(-O.W3)

V25

Grovth Rate
of Depoeite

.0948

.1135

.0187
(1.502)
4

.1102

,112s

.0023
(0.344)

-.0164
(-1,107)

.2468

.3084

.0616
(1.106)

.2599

.2232

-.G366
(-1.051)

-.0982
(-2.095)
444

1.2919

1.3816

A897
(1.309)

1.3637

1.2795

-.0842
(-1.370)
4

‘-2;:0*0’

VARIABILITY:
v26 hSff~Ct&IIt of v8rtation
of Net Income/Rquity
V27 Coefficiant

of Verietionof
Grovth Retam of Net Income/
Bg”:w

l
l*

Significant
at
Significant
at
l** Sigaificant
at
l*** Significant
at

tha
the
the
the

.SO confidantelevel.
.90 confidencelavel.
.95 confidencelevel.
.99 confidencelevel.

-. 1739

TABLE 3
DIPPERENCBSBETUERNPAIREDMNlCS IN ?m
(35 Pairs)

Variable
WR?K)LIO CDtlPOSI?IONt
9 Cash A Due/
Total Aseete

Hean Before Withdrawal
Hember WitMravina
Banks
Banks Difference

Member

Hean Af tet

Banks

VitMreval
UitMrewing
Banks
Difference

.2068

.2047

-.0022
(-0.199)

.174G

.1584

V2 Demand BalancesWith Benke
in U.S./TotalDepoeite

.1319

.1433

.OlU
(1.111)

.1065

.1461

V3 Curreucy,Coin, b Reserve
with Fed/TotalDeposite

.OS96

.0759

.0759

.0181

V4 Tiae i SevingeDepoeite/
Total Depoeite

.3063

.3384

.4109

.4668

U.S. Gov't. Securitiee/
Total Aeeete

.2138

.1824

v6 Total Loane/

l4054

.4511

V7 Total Capitel/
Total Aeeete

.0886

.0911

-.0138
(-2.929)
4444
.0321
(1.660)
4
-.0313
(-1.526)
4
.0456
(1.858)
*I
.0024
(0.605)

vtl Total Cepitel/
Risk Aaeete

.1679

.1596

v9 ColmercielL Industriel
Loans/TotalAesete

.1178

Ill0 ConsumerLoans/

‘2;A-u

.1325

.0975

.4240

.5062

.0834

.0823

-.OG83
(-O.Sl8)

.1291

.1154

.1246

.0068
(0.355)

.1203

.1477

.1339

.1639

.1386

.1679

Loane/
Total Aaeete

.0814

.0799

.03OG
(1.609)
4
-.0024
(-0.182)

.0774

.0727

~~2 Rae1 EstateLoans/
Total Aeeata

.0404

.0599

.0114
(1.656)
4

,062)

.0936

%

Total

Aeeete

Total Loans
~11

Farm

-.0156
(-1.415)
4
.0397
(3.877)
4444
-.0579
(-10.553)
4444
.0559

Mesa Change la Difference
jAf

tet-Before)

-.0135
(-1.231)
.0282
(2.349)
444
-.0441
(-16.102)
I)***
.0238
(1.476)

-.0350
(-1.987)
**
.0822
(4.894)
4444
-.OOlO
(-0.289)

-.;37
(-0.280)

-.0136
(-1.956)
44
.0274
(1.845)

-.0053
(-0.700)

.o:az
(1.860)
44
-.0047
(-0.359)
.0313
(2;pxl'

.0366
(2.018)
44
-.0035
(-0.861)

.0206
(1.547)
4
-9OGO8
(-0.066)
-.0022
(-0.215)
.0198
(2.188)
444

TABLB

Vsrieble
PRICRS:
V13 IntereetL Fees on’
toene/?otel
Loane
94

ServiceChargesotiDepoeitAccounte/?otelDemand Depoeite

Vl3 Intereston Dapoeite/
Time & SavingsDepoeite
EFFICIENCY:

V16 OperatingRevenue/
Total Aeeets
V17 OperatingRepeneee/
Total Aesete
PItOl’ITABILITYt
Via Net OpsretiryRarninge/
Equity

3

&ONTINGRD)

Hean Before Withdravel
Withdrawing
Bank@
Difference

Member
Renke

Mean After

H-bar
Bank*

Uitbdraval

WitMtaving
Banks

.0725

.0689

-.OG36
(-1.1163)

.0804

.0799

.0051

.0066

.0060

.0356

.0326

.0016
(1.681)
4
-.0030
‘-1.~~3)

A464

.0480

.0351

.G374

Hem Change la Differ-

Diffetmce

#ftet-Before)

-A004
(-0.252)

.0032
(1.627)

.GO75

.0015
(1.570)
4

-.Ofl
(-0.117)

.0439

.0433

y.0005
(-0.571)

.0025
(1.571)
4

.0016
(1.028)

.0574

.06G9

.003G
(2.940)
4444

;0019
(1.744)
44

.OG23
(1.226)

.044a

.0488

.0041
(2.152)

.0017
(1.059)

l **

.1375

.1323

-.GOs2
(-0.478)

.1582

.1525

-.OG57
(-0.297)

-.0005'
(-0.022)

Vlg

Net OperatingP.ami~e/
Total Capital

.1353

.1323

-.0030
(-0.278)

.1567

.1518

-.0050
(-0.262)

-.0020
(-0.098)

V20

Nat OperatinSEemings/
Total Aaeeta

.0113

.0106

-.0007
(-0.804)

.0126

.0121

-.0005
(-0.316)

.OGo2
(0.128)

V21 Net

.0777

.OS44

.0067
(0.589)

.1159

.1188

.0029
(0.173)

-.GO38
(-0.215)

V22 Net Income/

.0764

.os44

.@80
(0.703)

.1145

.1181

.0036
(n. 214)

-.0044
(-0.259)

.0064

.OG67

.GGo3
(0.265)

l 0092

.0095

.GOO4
(0.263).

Income/
Bqu:tg

Total Capital
V23 Not

Incme/
Total Aeaete

.OOOl
(0.068)

,

TABLE

Heen Before Withdtavel
Member Withdrawing
Difference
Benke
Banks

’Variable

V24 Growth Rate of Net

.2G25

.0406

Income/Equity
V25

3

.0937

GrowthPate
of Depoaite

.1223

-.1619
(-0.711)
.0286
(2.218)

(CGNrINGEig
Mean After

Uember
Banks

1.1978

Withdrawal
WitMravin~
Benks
Difference

-.0592

.1167

.1415

V27

Coefficientof Veriationof
Grouth Rates of Net Income/
w:tY

* Significant
at
** Significant
at
*** Sipnificant
at
**** Significant
at

the
the
the
the

.621S
1.3332

.so71
1.3310

.2856
(0.896)
-.0022
(-0.038)

-1.2561

-1.0942
(-1.006)
-.0038
(-0.220)

.0248

(1.973)
44

.5661

1.3796

.5581

-.GO79
(-0.039)

1.4120

.G324
(0.599)

in Difference

(After-Before)

(-1.106)

444

VARIABILITY:
V26 Coefficient
of Varietion
of Net Income/Equity

Nean ChanRe

-.2935

(-0.865)

.0346
(0.494)

.80 confidencelevel.
.90 confidencelevel.
.95 confidencelevel.
.99 confidencelevel.

I

---

- 12 -

held a larger total loan portfolio and charged slightly lower loan rates
than the control banks, though they had higher service charges on deposits
and paid less interest on time and savings deposits.

Banks that left the

System in Indiana, on the other hand, paid slightly higher rates on time
and savings deposits. Withdrawing banks in Illinois also exhibited some
reliance on reduction in prices on bank services (lower service charges
on deposit accounts).
Perceived operational advantages of withdrawing from the
Federal Reserve System would likely appear attractive to the management
and stockholders of institutions who have exhibited a tendency to maintain
a minimum level of cash balances, as in Indiana and Texas.

The shift in

regulatory status would allow them to pursue this policy further--possibly
with substantial benefits.

The relatively poor performance of some Illinois

member banks, presumably, would also make that group especially receptive
to changes in operation that could improve bank performance.
Following Withdrawal:
Periods.

The Change In Performance Differences Over

The incentives for banks to withdraw from the Federal Reserve

System cannot be identified by examining differences between withdrawing
and member banks following withdrawal--for such a framework ignores differences between banks prior to withdrawal.

Incentives for withdrawal rest

in the Improvement in performance banks anticipate following withdrawal.
This improvement relative to member banks is embodied In the change in the
difference between banks over the two five-year periods.
Changes in rates of return over the two periods indicate that
withdrawing banks did, in fact, improve earnings relative to members in
Illinois and Indiana.. In addition, the Illinois banks experienced a slight
increase in income growth rates compared to members and eliminated the

- 13 -

earnings disadvantage present prior to withdrawal.

The prime reason for

the relative improvement in earnings performance was the withdrawing
banks' ability to increase the percentage of earning assets in their
portfolios.

Facing lower effective state reserve requirements, they

greatly reduced their cash balances relative to member banks in each
state.

Commercial and industrial loans, consumer loans, and real estate

loans were the prime beneficiaries of the released funds.
In contrast with the hypothesis that member banks have more
stable earnings than nonmembers, withdrawing banks experienced a reduction
in the variability of earnings relative to members following withdrawal
from the Federal Reserve System.

Changes in measures of risk associated

with earnings favored withdrawing banks in all three states and were
statistically significant in Illinois and Indiana.
Withdrawing Illinois banks, following their change in membership
status, were able to eliminate the lower earnings and higher variability
in rates of return that existed prior to withdrawal.

The reduction in

the coefficient of variation of net income to equity was so large, in
relation to the experience for member banks, that the difference in the
values for this variable between paired banks reversed itself and favored
the withdrawing banks over the second five-year period.

The experience

in Indiana was similar, Withdrawing banks in that state, with earnings
no different from members prior to withdrawal, experienced a highly significant improvement in net income measures relative to members.

In addition,

these banks also experienced substantial reductions in measures of risk
associated with these higher earnings when compared to banks that maintained
membership in the System. Within the simple risk-return framework, there is

- 14 -

little doubt that stockholder utility improved for Illinois and Indiana
withdrawing banks relative to those banks choosing to retain their Federal
Reserve membership.

Changes in earnings and income variability between

paired banks in Texas were not statistically significant--therefore the
impact on owner utility in that state is not clear.
Just as the improvement in earnings and reduction in risk serve
as incentives for banks to withdraw, they represent an opportunity cost
to those banks remaining in the System. Member banks in Illinois and
Indiana, on average, could have improved the level of their earnings and
reduced Its variability from year to year by leaving the System.

This is

a definite cost to the stockholders of these banks that must be absorbed
and/or passed on to customers. The increases in mean values in annual
net income to equity of 2.13 and 1.66 percent for Illinois and Indiana
withdrawing banks relative to members approximates the membership cost to
bank stockholders in terms of nominal return.

If these figures could be

adjusted for relative changes in risk measures, they would be larger.
These figures do not, however, indicate the magnitude of the burden of
membership to customers of member banks in these states.
Customers of member banks in the three states were granted 3.77
percent, 5.74 percent, and 3.66 percent fewer loans, respectively, than
would be possible if their bank had withdrawn from the System.

Illinois

customers received .14 percent less on time and savings deposits.

Indiana's

member bank customers paid .06 percent more service charges on deposits.
Their counterparts in Texas received .25 percent less interest on savings
deposits than they would have, on average, had their banks withdrawn.
to Texas customers, however, were at least partially offset by reduced
interest charges on loans by member banks.

Costs

- 15 -

Comparing overall results for the three states supports the
hypothesis that the "costs of membership" vary directly with the variation
between state imposed and Federal Reserve System reserve requirements.
The distribution of these costs between member bank stockholders and
customers differs among states.

Illinois member bank stockholders appar-

ently experienced more variability in a lower level of earnings than would
have been possible through withdrawal.

In addition, a portion of the cost

of membership in Illinois was passed on to customers. Bank stockholders
in Indiana bore a significant burden of membership through reduced nominal
earnings. A reduction in earnings variability of withdrawing banks relative
to members was also present.
cost of membership.

Customers of Indiana banks also shared the

Finally, the cost of membership to bank owners in

Texas was much less than in the other states. These banks did not increase
rates of return or reduce the variability in earnings relative to member
banks through withdrawal from the Federal Reserve System. Though the reduced volume of loans granted by members is a cost borne by their customers,
it is not clear whether or not the divergence in pricing practices in Texas
represents a net cost to member bank customers.
One slight advantage member banks may enjoy in some states is a
higher deposit growth rate.

Evidence in Indiana and Texas suggest that

withdrawlng banks experienced a slight reduction in growth in deposits
relative to members following withdrawal, while those in Illinois experienced a relative increase. None of the above changes was statistically
significant, however.

Even if membership does provide a net benefit to

deposit growth in some localities, empirical results seem to indicate
that any impact on bank rates of return attributable to this factor is
dwarfed by the Impact of differential reserve requirements.

- 16 -

Results From Comparisons By Bank Size
Tables 4, 5, and 6 present the results of the tests performed
on the total sample of paired banks classified by deposit class; those
with less than $10 million in total deposits (class l), those with $10
to $25 million in deposits (class 2), and those with more than $25 million
in deposits7 (class 3).
Withdrawing banks in deposit class 1 experienced higher operating
expenses and, consequently, lower net operating earnings than member banks
prior to withdrawal.

In addition, earnings variability measures were

significantly higher for these small banks relative to those retaining
membership during the early period.

In deposit class 2, banks that later

withdrew from the System had lower operating revenue due, in part, to lower
loan rates and service charges on deposit accounts relative to members
prior to withdrawal.

Surprisingly, though, these banks experienced slightly

higher income during the earlier period.

No significant difference in

earnings was detected for class 3 banks but withdrawing banks had a larger
coefficient of variation of net income to equity than did members within
this category prior to withdrawal.
During this period, withdrawing banks in all three deposit groups
held substantially less currency, coin, and reserves with the Federal Reserve
than did banks that remained In the System. A change in regulatory status,
presumably, would permit these banks to further reduce their non-earning
cash assets.

7
Only one pair of banks in this category had total deposits exceeding $100 million at the time of withdrawal. Deposits for these two
banks were approximately $150 million.

TABLE4
DIFFRRRNCRSBEfWRRUPAIRRD BANRS IN DEPOSITCLASS 1
Lees Tban $10 NillionDepoeite
(100 Pairs)
N&an Before Withdraval
Uwbar
WithdrewinS
Banks
Banks
Difference

Veriable
PGR?'FOLIO
CG!iPOSI?ION:
Vl Cash 6 Due/

.1669

.1671

.0943

.1053

Tote1 Aeaete
V2

Demand SelenceeWith Beuke
in U.S./TotalDepoeite

V3 Currency,Cola, b Reeerve
vith Fed/TotalDepoeite

.0846

.0753

V4

Time A SavingsDapoeite/
Total Deposits

.3998

.4197

V5 U.S. Gov't.'Securitiae/
Tot01 Aeeete

.2965

.2777

vg

?ot&l

.4059

.4218

V7

Total Capital/
Total Aseste

.0917

.0926

VS Total Capital/
Risk Assets

.lS93

.lSGG

Vg

.0648

ban&/

Total Aseete

l0002
(0.036)

Neen After Withdrevel
Member WitMreving
Banks
Banks
Differsees

.lObO

.OllO
(1.742)
44
-.0093
'-;t;L~"'

.0773

.0953

.0704

.0152

.Oi98
(l.bSl)
4
-.OlSS
(-1.449)
4
.0159

.5067

.5380

.0313
(2.362)
444

.2015

.1780

-.0235

.0699

ConeumarLoene/
Total Loans

.

.0963

~11 Farm Loans/
Total Aeaete

.1047

V12 Real eat&to Loans/

.1265

Total

Aeeete

.I024

.1123

.4837

.0476
(3.940)
4444

.ooo9
(0.327)

.GSlS

.0814

-.OOOb
(-0.176)

-A093

.1396

.1179

.0682

.0894

-.0217
(2.392)
444
.G212

(3.419)

.0061
(0.784)

.109S

.0076

.1026

.1097

.1417

.lS17

.1175

(0.899) *
.1235
I ..-

-.GO31
(-0.411)

.0069

(1.150)

-.os53
(-20.932)
4444

l***

V10

-.0363
(-6.468)
4444

.0179
Wf”’

.4360

.OG51
(0.798)

(After-Before)

-.0459
(-22&O)

.OllS
Y4)
-.0047
(-0.465)

(-1.920)
44

(-1.011)

CoeoercialL Induetrial
Loans/TotalAmsets

GhanRe in Difference

-.0361
(-6;6:3)

.lbOl

(1.170)

ken

.0077

.

.0317
(2.952)
4444
-.0013
(-0.611)
-.0124

(-1.651)
44
.0161
(2.924)
4444

(1.010)

.0016
(0.307)

.OG71
(0.801)

-.ooos
(-0.104)

.OlOl
(1.284)

.0131
(2.275)
444

.

TARLR4

(CONTItJDRD)

Mean Before Withdravel
Withdraville
Member

Vsriable
PRICES:
913 InteteetL Fees on
Loene/TotelLoans

Benks

Banks -

.0645

.0635

Diffetsnce

-.OOll
(-1.070)

Hean Af

Uember
Bank%

tar Withdravel
WitMrawing
Diffetence
Banke

Mean Cheage in Diffetence
(After-Before)

.n719

.0715

-.GGGb
(-0.435)

.oGO7
(0.723)

.0044

.0046

.OGo3
(0.600)

-.oGOl
(-0.276)

Vl4

ServiceChergeeon DapeeitAccouata/?otal
Deaend Depoeite

.0039

.0042

V15

Intereeton Deporite/
Time & Saving6Dapoeite

.0309

.03aR

-.OGOl
(-0.176)

.0415

.0420

.OGOS
(0.927)

,OGG6
(0.943)

V16 OpsratingRevenue/
Total Aeeete

.0433

.0440

.OGO7
(0.907)

.0542

.0572

V17 OperetingExpeneee/
Total Aesete

.0322

a0337

.0015
(1.720)
44

.0421

.0455

.0030
(4.477)
4444
.GG34
(3.663)
4444

.0023
(4.517)
4444
.0019

’

.0003
(0.822)

EFFICIetm I

PROFITABILITT:
V18 Net OperatingEarnings/
Equity
Vlg Net OperetingEarnings/
Total Capital

.1264

.1176

.1263

.1176

.Olll

.0103

’

(2.805)
****

-.OOS7
(-1.661)
44
-.OGS7
(-1$52)

.1516

.1468

-.ooha
(-0.636)

.GO39
(0.479)

.lSlO

.lb63

-.0047
(-0.624)

.0040
(0.500)

-.0008
(-1.619)
4
-.OOSl
(-0.989)

.0121

.0117

-.OOOb
(-0.675)

.0004
(0.607)

.llGS

.1128

.GO20
(0.313)

.0071
(0.995)

V21

Net

Income/
Bquity

.0800

.0749

V22

Net

Income/
Total Capital

.0800

.0749

-.OOSl
(-0.982)

.1102

.1124

.GO21
(0.339)

.0072
(1.024)

.0071

.0066

-.GGo5
(-1.024)

.0088

.0090

.0002
(0.332)

i1.248)

V23 Net Income/

Total Aeeete

.0007

TABLE

Heen BeforoWithdrewal
Uwber
WltMrewing
Difference
Banks
Banks

Variable
GROWli:
V24 Growth Rate of

Net

.1032

-.0237

-.1270
(-0.695)

.1019

.1053

.4258

.9985

Income/Equity
V25 GrovthRate
of Depoeite
VARIABILITY:
V26 Coefficient
of Variation
of Net Income/Equity
V27

l
l*

Coefficientof Veriationof
Growth Ratee of Net Income/
Bqu:ty

Significant
at
Bignificant
at
*** Significant
at
**** Sigaiffcant
at

4

1.3072

1.3490

(CDMINUBD)
Heen At ter WitMreval
Uembar Withdraving
Banks
Difforonco
Banks

.5617

.1508

.GO34
(0.350)

.1157

.1282

.0124
mf)

.S727
(2.227)
444

.3989

.3601

-.0387
(-0.569)

.G418
(1.364)
4

1.3710

1.3217

QfeanChange

in Difforenco

JAfter-Boforok

-.2840
(-0.660)

-*4109
(-0.989)

.0091
(0.904)

-.6614
(-2.321)
***
-.G911

-.0493
(-1.17L)

(2.283)
444

.80 confidencelovel.
.90 confidencelevel.
.95 confidencelevel.
.99 confidencelevel.

.
,
--

TABLES
DIPPlUEWCPBBB?UEBNPAISEDBANKS IJlD8PDSI?'S
$lD-$25NillionDepoeite

2

(30Pairs)Mean Aftor

Hoan Seforo Withdrawel

Nembor WitMravinS
Verisbls

Hembar

Banks

Banka

Cash b +a/
Total Aoeate

.1370

.1366

V2

Demand BalancesWith

Banks
in U.S./TotalDopoeite

.0676

.0679

.0003
(0.030)

V3

Currency,Coin, & Reeerve
vith FedlTotsl Deposite

.0746

.0663

Time 6 SavlnSeDeposite/
Total Depoeits

.5123

Dlfferonce

Be&e

PORTFOLIO
COtlPOSI?ION:
91

V4

.5069

-.0003
(-0.062)

.1190
*

WitMraval
WitMravinS
Banks
Difference

.0943

.0519

.0793

-.0083
(-2.659)
444

.0673

.0159

-.0053
(-0.277)

.6009

.5863

-.0247
'-;;mf"
.0273
(3.117)
4444
-.0513
(-14.723)
ii**
-.0146

(-0.910)

.2369

.2566

.0196
(1.037)

.1553

.1609

.0056
(0.322)

.A626

.4449

-.0176
(-0.948)

.4906

.4993

.0086
(0.476)

Total CapitelJ
Total Aesate

.0763

.0733

-.0029

.0726

.0719

-.0006
(-0.165)

VB Total Cepital/
Risk Aeeota

.1236

.1249

.0013
(0.124)

.1016

.09S6

-.0029
(-0.516)

Vg

Colnercialb Industtial
Loans/TotalAeeete

.0919

.0763

-.0156
(-1.273)

.1049

.1029

V10

ConsumerLoam/
Total Loana

.1339

.1269

-.0069
(-0.400)

.1406

.1369

~11 FarmLuane/

.0629

.0636

.0006
(0.048)

.0516

.0609

vr2 Real Esteta Loene/
Total Aeeets

.1579

.1596

.0016
(0.141)

.1796

.1799

V5 U.S.Gov't.Securitiee/
Total Aeeote
vg

?otelb&n&/
Total Aeeete

VI

Total

Arsete

(-0.788)

Mean Chengo in Diffetsnco

(Aftor-Soforok

-.0243

'-i;Lil'.
.0269
O;L,"'
-.0429
‘-‘t;,‘:“’
-.GO93
(-0.891)
-.0139
(-1.091)
.0263
(1.574)
4
.0023
(0.812)
-.0043
(-0.608)

wJ.171)

.0136
(1.830)
**

-.0036
(-0.243)

.0033
(0.295)

-.0019

.0093
(0.790)
.0003

(0.019)

.0086
(1.274)
-.0013
(-0.153)

.

TABLB 5 (CDUTIUDKD)

Verieblo

e

PRICRR:
913 InteroetL Fees on
Leene/?otoltoaee

Neen BeforeWithdreval
Hembor Withdteviae
Benkr
Banks Difforenco

.0633

.06G9

-.GG23
(-2.21q

Meen Aftor Uithdrevel
Uombat WitMreving
ganke
Beaks - Diff lrenco

.G713

.0710

.0063

.0053

444

Vl4 BervicoChargoeon ~apoeitAccounts/TotalDemand Depoei~e

.0066

Vl3 Intereston Depoeite/
Time & SavingsDapoeite

.0319

E3rpICIRNCT:
Vl8 GpsratingRevenue/
Total Aesete
Vl7 Operetin8Fxpeneee/
Total Aaeete
PROFITABILITT:
VlB Net OperatingRarninge/
Bquity
Vlg Net Operating&rninge/
Total Capital
VfO

V21

-.0009

(-2,052)
444
.0316

.0427

.0430

-.0013
(-1.794)
44

.0573

,0583

.0360

-.GOG7
(-0.571)

.0467

.G463

.1507

.1377

-.0130
(-1.172)

.1570

.1697

.1480

.1373

-.0107
(-0.984)

.I547

.1834

.0473

.0367

.0460

.0107

Net Incoma/

.0827

.0910

.oos3
(1.266)

.0813

.0910

.GO97*
(1.485)
4

V22 Net

Incume/
Total Capitel

Nat Income/
Total Awsete

l

-.OGo3
(-0.605)

Not OperetingBarnlags/
Total Aeeetm
equity

Vf3

.0056

.OlOO

-.0007

.0067

.0007
(0.966)

-.OOlO
(-1.720)
44

.OllO

.0117

.1107

.1313

.in90

.1297

.0077

l on90

@ftor-Bofore)

.GG20
(1.464)
4

-.OOOl
( 0.050)

.OGo3
(0.199)

.OGG6
(0.610)

. Go10
(0.906)

.0023
‘3;:;:)

-.OOOh
(-0.085)

.0003
(0.531)

.0127
(0.926)

.0257
(2.110)
444

.0287

(0.921)

(-1.185)

.0060

y.0003
(-0.514)

Wean Chengo in bitfokence

.0394
(2.030)
44

.OGo7
(0.953)

.GG14
y2)

.0206
(2.289)
***

.0123
(1.460)
4

.0207
(2.251)
444
.0013
(2.625)
***

.OllO
0.393)
4

.

TABL6

Mean Before Withdrewel
Haadmr Vithdruing
Differoaco
Benke
Bsnkm

Verleble

V24 Grouth Bata of Wet

.0033

-.3647

Illcolla/Equity
V25 Grovth llete

.0997

.1007

.5627

.4037

1.3280

1.3717

of Depoeite
VARIABILITY:
v26

~OttiCiOllt

of Net

Of vWi8tiOll

Income/Bquity

V27' Coatt iclent
of Variation
of
Growth Dater of Net Iacomo/

.OOlO
(0.079)

-.UB7
(-0.694)
.0437
(0.635)

(CDMrItwD)
tfeen After Uithdrowl
WithdrmIlnG
Bank8
Ditt~raac~
Bank8

Hembar

.0670

-.G520

.1030

.1167

.3310
1.4470

.2636

1.3513

Uean Chenae

20 Difference

(Aftor-Bdord

.2490

-.1190

(0.423)

(-O.B68)

.0130
(0.845)

.0140
(l.Z33)

-.0674
(-0.601)

.0913
(0.711)

-.0957

-.1394
(-1.975)
**

(-1.939)
l*

Bquity

l Significant
** Significant

-.36BO
(-0.652)

5

at the .BO confidence
at the .90 confidence

level.
level.
l ** Significant
at the .95 confidence
level.
l *** Significant
at tha .99 confidencelevel.

.

l.
.
.

TABLB6
DIFPSRBMCES
BBTUBBU
PAIR6D BANKSIU DSPOSITCUSS 3
Uore Than $25 Million Dapoaita
(15 Paira)

Variable
PDRTFOLIOCOHPOBITIONI
VI Caeh b Due/
Total Acaete
V2 Demand BalanceaWith Banks
in U.S./TotalDepoaite

Mean Before Withdrawal
Mean After Withdrawal
Hembar Withdrawing
Hember Vi tbdravias
Banke Banka
Banka - Dfiffarenca Bank8
Diffiraaca

.1253

.1340

.0007
(0.990)

.1140

.0987

-.0153
(-1.265)

.0500

.0627

.0127
(1.320)

.0507

.0880

.0373
(2.819)
-.0460
'-1~;~;')

l**

Mean Change in Difference
(After-Bdfore)

-.0240
'-2JfO)
.0247
(1.809)
**
50393

V3 Currency, Cola, 6 Raaarva
with Fed/TotalDepoefta

.0727

.066Q

-.0067
(-l.ft6)

.0600

.0140

V6 Time 6 Savinga Depoalta/
Total Depoeita

.5193

.4BOO

-.0393
(-1.295)

.5B67

.54B7

-.0380
(-1.101)

.0013
(0.049)

V5 U.B. Gov’t. Sacuritiaa/
Total Aaaeta

,224O

.2300

.0067
(0.463)

.1220

lllOl

-.0113
(-0.780)

-.0180
(-1.025)

V6 Total baUa/
Total heats

.4773

.4913

.0140
(0.596)

.5087

.5406

.0320
(1.141)

.0173
(0.722)

‘-i;LZ”

VI

Total Capital/
Total Aeeete

,070o

.0720

.0020
(0.407)

.0700

.0733

.0033
(0.584)

.0013
(0.245)

V8

Total Capitol/
Risk Aaaeta

.1093

.1160

.0067
(0.723)'

.0927

.0947

.0020
(0.305)

-.0047
(-0.684)

V9 Comnerclal6 Industrial
Loans/TotalAasata

.1107

.1393

.1293

.1633

.0340
(1.733)

.0053
(0.275)

V10 Conau8ar Loans)

.1633

.1640

.1520

-.0120
(-0.633)

-.0020 *
(-0.088)

.0073

.0173

. 0001
(0.166)

.1727

.1733

.OlOO
(1.404)
*
.0007
(0.016)

.02B7

(1.143)

l

.1533

-.OlOO
(-0.653)

Total Loane
V11 Par8 Loam/
Total Aeeata

.0060

V12 Real Eetate Loam/
Total Aaeete

.1600

.0153

.0093

:

(l.lfiO)
.1300

-.0300
(-2.809)
i**

.

.liJ307
W358)
*

TABLE6 OmmNuED)

Uean Before Withdrawal
Umber
lfi
thdraving
Banka
Differanca
Bank8

Variabla

PPICKS I
V13 Intaraat

L Fare on

Member
Bbllkb

Haen After Withdraual
Uithdraving
Bankm

Difference

.oow
(0.275)

.0593

.0567

-.0021
(-1.;25)

.0713

.0713

914 ServiceChargemon DapoaitAccounts/Total
Demand Dapoaita

.0067

.0060

-.0007
(-0.563)

.0067

.0053

Vl5 Intereaton Dapoaita/
Tfaa b SavingaDepoalta

.0320

.0313

-.0007
(-0.268)

.0413

.0460

.0440

.0367

.0347

-.0020
(-1.441)
1
-.0020
(-1.545)

.0467

Barnlngml

.1420

.1367

-.OD52
(-0.281)

.1580

OperatingEarningm/
Total Capital

.1413

.1354

-.0060
(-0.333)

Loans/Totalbona

Mean Change in Diffaranca
_(Aftar-Before)-

.0027
(1.436)
l

WFICImCY t
vl6 operbting itevbnubt
Total Aaaeta
V17 OperatingExpanmea/
Total Ammeto
PElOFITABILITTr
V18 Net Operating
Equity
Vl9 Net

.0027
(1.6*71)

.0587

.0014
(1.178)

.0034
(2.394)
***
.0026
(1.106)

.
.0473

.0006
(0.116)

.1527

-.0053
(-0.199)

.1547

.1520

-.0027
(-OAPl)

.0107'

.0013

.0006
(0.503)

.0006
(0.650)

-.0013
(-0.101)

.1127

.1067

-.0060
(-0.253)

-.0947
(-0.226)

-.0027
(-0.115)

-.OdOl
(-0.0040)

V21 Net Income/
Equity

.0853

V22 Nat Incoeo/
Total Capikal

.0853

.0833

-.0020
(-0.144)

.llQO

.1073

.0060

.0060

.oooo
(-0.139)

.0073

.0080

*

(-0.486)

.0020
(1.184)

.0093

.0840

-.0007

.0433

V20 Net Operating Earningm/
Total Aseetm

V23 Nat Income/
Total Aamata

.0093

.057i

-.0014
(-0.937)

.oooo
(0.033)

l0007:
(0.507)

-.ODDl
(-0.012)

.0033
(0.165)

,0007
(0.688)

TABLE 6 (CONTIWED)
Neon Before Withdrawal
Wa8bar Withdrawing
Differance
Bankm
Banke

Varlabla
GRONTN:
924 Grovth Rata of Wet

VARIABILITT:
926 Coetticlentof Variation
of Nat Income/Equity
V27 Coettlcialrt
of Varhtion
of
Growth I&tea of Nat Incura/

l

Significant
at the
Significant
at the
Sfgnlflcantat the
a*** Significant
at the

(At tar-Before\

.2360

.1007
(0.474)

.1840

.0220

-.1620
(-0.639)

-.2627
(0.724)

.1080

.1393

.0313
(0.764)

.0991

.1053

.0061
(0.254)

-.0252
(-0.690)

.3220

.5707

.2927

1.0240

.7313
(1.481)

.4826
(1.053)

1.3193

1.2933

.2487
(1.574)
1
-.0260
(-0.315)

1.3820

1.3973

.0153
(O.lSl)

W-Y

l*
l**

Hem Chanae in Diffarence

.1353

IncomalBqult~

V25 Growih Rata
of Dcpoaita

Haan After Withdrawal
#ember Withdrawin
Banka
Banka
DIEfaranca

.80 confidencelevel.
.90 coofidancalevel.
.95 confidencelevel.
.99 confidencelevel.

l

.0413
(0.427)

- 17 -

Following withdrawal, most banks leaving the System apparently
improved their earnings performances relative to members.

Improvement

was most noticeable for those banks within the two smaller deposit classes.
Net income measures increased relatively for withdrawing banks within
deposit class 2 and variability in earnings declined relatively for class
1 banks.

No statistically significant alteration in withdrawing banks'

earnings performance relative to members was detected within the largest
8
banks.
Banks leaving the System dramatically reduced their cash balances
and increased balances held with commercial banks relative to members.
They increased outstanding loans when compared with those maintaining
membership. Withdrawing banks in the three categories granted, on average,
3.17 percent, 2.63 percent, and 1.73 percent more loans, respectively, than
would have been expected had they remained in the System.

Banks in classes

2 and 3 increased interest charged on loans slightly, while class 3 banks
also increased interest paid on deposits in comparison to members.
The cost of membership, therefore, appears heaviest for member
bank stockholders and customers within the smaller deposit classifications.
The incentives for withdrawal seem strongest for these banks.

summary
Statistical results support the conclusion that many member banks
operate at a competitive disadvantage to similarly situated nonmembers.

8

In

Conclusions based on the small sample of paired banks within
this last deposit category are tentative and inconclusive. The small
number of large banks leaving the System between 1965 and 1969, however,
suggests that the costs of membership were not thought excessive by these
banks. Recent experience suggests that large banks are becoming increasingly sensitive to membership costs.

- 18 -

two of the three states studied separately and within two of the three
deposit size classifications, the "cost of membership" has significantly
affected two groups of individuals--member bank stockholders and customers.
In Illinois and Indiana, rates of return were lower for banks
that maintained Federal Reserve membership than they would have been had
the banks withdrawn from the System.

A sample taken from eight states

reveals banks with $lO-$25 million in deposits had similar results.

In

addition, withdrawing banks in Illinois and Indiana experienced reduced
variability in earnings relative to comparable members over the periods
included in the study, as did banks in the larger sample with less than
$10 million deposits. This combination has provided a strong incentive
for banks to relinquish membership in recent years.

In Texas and for

banks with more than $25 million in deposits, however, no membership cost
in the form of reduced earnings or increased variability in earnings was
detected.
Empirical evidence also indicates that, to varying degrees,
member bank stockholders have shared the costs of membership with their
customers in the form of a reduced volume of loans, higher service charges
on deposit accounts, higher rates on loans, and/or reduced interest paid
on savings deposits.

Such membership costs were imposed on member bank

customers in Illinois, Indiana, and Texas as well as for banks with less
than $25 million in deposits. No clear costs to customers associated with
membership were found for larger banks.
The cost of Federal Reserve membership, therefore, varies across
states with different reserve requirements and for different size categories. Accordingly, accurately measuring the cost of membership for banks
should be approached on a state by state basis.

- 19 -

The results of the present study should not be applied to other
states without regard to the peculiar regulatory and competitive environment of each state.

The cost of membership measures used in this study

reflect an average yearly cost over the period 1965 through 1974 and,
therefore, may not completely represent costs associated with Federal
.Reserve membership at the present time.
The membership problem has intensified in recent years due to
an increased opportunity cost of idle reserve balances (higher interest
rates) and to an expansion of competition between commercial banks and
depository thrift institutions [17]. The Federal Reserve System has long
been aware of disadvantages imposed on member banks through its reserve
requirements and, in the past, supported a legislative remedy of uniform
reserve requirements for all commercial banks.

In the absence of such

legislation, the System is giving serious consideration to alternative
proposals to reduce the cost of membership. Whether this is best accomplished through a reduction in System reserve requirements, paying interest
on reserve balances held with the Fed, or by some combination of proposals
is currently under review.

REFERENCES

1.

Andrew Brimmer, "Reserve Requirements, Nonpar Banks, and Membership
in the Federal Reserve System," Monthly Review, Federal Reserve Bank
of Minneapolis, June 1966, 2-11.

2.

"Report to the Directors," Committee on Membership, Board of Directors,
Federal Reserve Bank of Boston, August 1976.

3.

John Fulmer, 'The Effect of Federal Reserve Membership on the Earnings
of Commercial Banks in South Carolina," Journal of Bank Research,
Winter 1974, 314-315.

4.

Gary Gilbert and Manferd Peterson, "Reserve Requirements, Federal
Reserve Membership and Bank Performance," Working Paper No. 74-8,
Federal Deposit Insurance Corporation.

5.

'The Impact of Changes in Federal Reserve
and
Journal of Finance, June
Membership on Commercial iank Performance," 1975, pp. 713-19.

6.

Arnold Heggested and Franklin Edwards, "Uncertainty, Market Structure,
and Performance: The Galbraith-Caves Hypothesis and Managerial
y;;i$s in Banking," Quarterly Journal of Economics, August 1973,
- .

7. William Jean, Capital Budgefing: The Economic Evaluation of Investment
Projects, Scranton, Pa., 1969.
8.

Robert Lawrence, The Performance of Bank Holding Companies, Board of
Governors of the Federal Reserve System, 1967.

9.

Lucille S. Mayne, The Effect of Federal Reserve System Membership on
the Profitability of Illinois Banks, 1961-1963, Center for Research,
College of Business Administration, Pennsylvania State University,
1967.

10. Marvin Phaup, "The Effect of Federal Reserve System Membership on
Earnings of Fourth District Banks, 1963-1970," Economic Review, Federal
Reserve Bank of Cleveland, January-February 1973, 3-18.
11.

John T. Rose, '*FederalReserve System Attrition, 1946-1973," Unpublished
Ph.D. Dissertation, Washington University, May 1976.

12. Peter Rose, "Exodus: Why Banks Are Leaving the Fed," The Bankers Magazine, Winter 1976, 43-49.
13.

, Donald Fraser, and Gary Shugart, "Federal Reserve Membership
and Bank Performance: The Evidence from Texas,' The Journal of Finance,
May 1975, 641-58.

-2-

14.

Walter Varvel, "A Valuation Approach to Bank Holding Company Acquisitions," Economic Review, Federal Reserve Bank of Richmond, JulyAugust 1975, 9-15.

15. Walter Varvel, "The Motivation for Bank Holding Company Acquisitions,"
Working Paper 76-2, Federal Reserve Bank of Richmond.
Production, Capital,

and

16.

Douglas Vickers, The Theory of the Firm:
Finance, New York, 1968.

17.

Wall Street Journal, "The Deposit War," November 10, 1976, p. 1.