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Worki na P a ~ e r8408
HOLDING COMPANY INTEREST-RATE SENSITIVITY:.
BEFORE AND AFTER OCTOBER 1979
by Gary Whalen

Working papers of the Federal Reserve Bank of
Cleveland are prel i m i nary materi a1s, circulated
to stimul ate di scussion and critical comment.
The views stated herein are the author's and not
necessarily those of the Federal Reserve Bank of
Cleveland or of the Board of Governors of the
Federal Reserve System.
The author gratefully acknowledges research
assistance provided by June Gates.

December 1 984
Federal Reserve Bank of Cleveland

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HOLDING COMPANY INTEREST-RATE SENSITIVITY:

BEFORE

AND AFTER OCTOBER 1979

Abstract

Since October 1979, market i n t e r e s t - r a t e movements have been frequent and
large.

Over the same time period, f o r a v a r i e t y o f reasons, competition has

i n t e n s i f i e d i n both bank l o a n and deposit markets.

These developments have

changed the b e n e f i t s and costs o f various types o f a s s e t / l i a b i l i t y management
s t r a t e g i e s o r a1t e r n a t i v e l y a f i n a n c i a l i n s t i t u t i o n ' s l e v e l o f i n t e r e s t - r a t e
r i s k exposure.

I n t h i s study, t h e r a t e - s e n s i t i v i t y postures o f a sample o f

h o l d i n g companies are examined over the 1977 t o 1983 i n t e r v a l t o determine
whether and how a s s e t / l i a b i l i t y management s t r a t e g i e s changed a f t e r October
1979.

I n general, the evidence suggests t h a t h o l d i n g companies reduced t h e i r

exposure t o r a t e r i s k i n the immediate post-October 1979 period.
t h i s change does n o t appear t o have been permanent.

However,

The data show a reversal

o f t h i s p a t t e r n a t a number o f companies i n 1982 and 1983.

I. I n t r o d u c t i o n

Changes i n market i n t e r e s t r a t e s have been r e l a t i v e l y frequent and l a r g e
r e c e n t l y , p a r t i c u l a r l y since October 1979, when t h e Federal Reserve adopted a
new procedure f o r monetary c o n t r o l .

The new approach placed g r e a t e r emphasis

on the supply o f bank reserves and l e s s emphasis on c o n f i n i n g short- term
f l u c t u a t i o n s i n the federal funds rate.'

As a r e s u l t , the federal fundsrate

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and other market rates became re1 atively more volatile.

For example, the

standard deviation of the quarter-to-quarter change i n the commercial paper
r a t e was 79 basis points over the 11-quarter period before the fourth quarter
of 1979.

Over the ensuing 9 quarters i t increased to 492 basis points.

This

increase i n variabil i t y has deeply concerned bank managers (and a1so bank
analysts, investors, and regulators), because sharp, unanticipated changes i n
market r a t e s can produce undesirable changes i n a banking organization ' s net
i n t e r e s t margi n and, t h u s , i t s profi tabil i t y and market Val ue.

Whether

market-rate gyrations adversely affected a particular i n s t i t u t i o n s ' s
performance a f t e r October 1979 depends upon the rate- sensitivity posture
maintained by the organization d u r i n g this time.

11. The Gap a s an Index of Rate Sensitivity

The net i n t e r e s t margin (NIM) impact of a given change i n market rates
occurring over some relatively short time period (90 days, f o r example)
generally depends upon the type and s i z e of any banking organization's
cumul ative rate-sensi t i v i ty gap re1 ative to i t s vol ume of averaging earning

asset^.^

This gap i s defined as the difference between the i n s t i t u t i o n ' s

volume of rate-sensi t i v e assets (RSAs) and i t s volume of rate-sensi t i v e
l i a b i l i t i e s (RSLs). Any asset or l i a b i l i t y t h a t can be repriced a t some time
i n the specified interval i s classified a s rate- sensitive and is included i n

the respective t o t a l .
fol1 ows:
CHNIM = $=*
AE A

CHR,

Symbol ical l y , t h i s re1 ationship can be expressed as

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where

-

CHNIM = NIMt

-

$GAP = RSA

NIMt-l,

RSL,

AEA = t o t a l average earning assets, and
CHR = RT

-

RT-l

,

where
R i s some representative market r a t e o f i n t e r e s t .

Given a r e l a t i v e l y s h o r t time horizon, i f an o r g a n i z a t i o n ' s volume o f RSAs
exceeds i t s volume o f RSLs, o r i t has a p o s i t i v e gap, changes i n i t s margin
should be p o s i t i v e l y c o r r e l a t e d w i t h changes i n market r a t e s over t h a t
interval.

The reason f o r t h i s r e l a t i o n s h i p i s t h a t more o f t h e i n s t i t u t i o n ' s

assets than l i a b i l i t i e s have r a t e s t h a t change as market r a t e s change.

So,

given r i s i n g market rates, i n t e r e s t income shoul d increase more than i n t e r e s t
expense, causing the organization's n e t i n t e r e s t income and N I M t o r i s e as
we1 1.

The 1arger the gap re1a t i v e t o an i n s t i t u t i o n ' s t o t a l volume o f average

earning assets, the 1arger t h e N I M impact o f a given increase i n rates.
Obviously, given a p o s i t i v e gap, an organization's N I M f a l l s along w i t h market
rates.
Conversely, given a r e l a t i v e l y s h o r t time period, changes i n an
i n s t i t u t i o n ' s N I M are negatively c o r r e l ated w i t h market- rate changes i f
i t has a negative gap (RSLs

> RSAs).

Again, the 1arger t h e gap r e l a t i v e t o

t o t a l average earning assets, t h e l a r g e r the r a t e impact.

The N I M o f

organizations t h a t have a zero gap o r are balanced (RSAs = RSLs) should n o t
vary markedly i n response t o changes i n market rates. 5
It should be noted t h a t t h e so- called t y p i c a l r e l a t i o n s h i p s between bank

gap positions, NIMs, and market r a t e s described above may weaken o r even

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-4disappear as the hypothesized time horizon i s lengthened.6 That i s , the NIM
impact of a r a t e change assumed t o occur over a longer time interval (1 year
f o r example) might not be unambiguously re1 ated t o an i n s t i t u t i o n ' s 12-month
cumulative gap position.

One reason these relationships break down i s t h a t

any given cumulative long-term gap position i s consistent w i t h a wide variety
of different short-term incremental ( t h a t is, non-cumul ative ) gap positions.
The ultimate NIM impact generated by some given change i n r a t e s assumed t o
occur over a 12-month period will depend on the distinctive pattern of
short-term gaps a t each individual institution.

I t will a l s o depend on how

the r a t e s on the various types of assets and 1iabil i t i e s already on the
i n s t i t u t i o n ' s books respond t o the given change in market r a t e s , on how the
short-term gap positions are reshaped over the period as various assets and
1iabil i t i e s mature, and on other factors as well. 7

I I I. Asset/Liabi 1i t y Management Strategy

The discussion above suggests t h a t bank management could have elected t o
pursue one of two a s s e t / l i a b i l i t y management strategies i n the v o l a t i l e r a t e
environment t h a t prevai 1ed a f t e r October 1979.

Management could have

attempted t o pursue an anticipatory gapping strategy (creating positive gaps
prior t o expected r a t e increases and negative gaps prior t o expected r a t e
decl i nes 1, or i t coul d have adopted and maintained a zero-gap position during
this time.
T h e f i r s t strategy implies t h a t management i s willing t o assume more risk

t o earn higher expected returns, because anticipatory gapping i s potentially
disastrous i f r a t e expectations are not realized.

The risks and potential

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-5returns from such a strategy depend on the size of the gap opened.

A zero-gap

strategy implies a choice of lower expected returns i n exchange f o r lower risk.
Management's choice of a strategy might be influenced by i t s degree of
satisfaction with the organization's NIM a t the outset of any given period,

i t s appetite f o r risk, and i t s a b i l i t y t o forecast i n t e r e s t rates.8

Another

important factor i s management's abil i ty t o expeditiously a1 t e r the
organization's gap position, given a particular r a t e out1 ook. 9
If management i s dissatisfied w i t h i t s organization's NIM level, i f i t has
an appetite f o r risk, i f i t forecasts r a t e s with confidence, and i f i t can
reshape the organization's bal ance sheet in any desi red fashion, then
anticipatory gapping strategy becomes a t t r a c t i v e and i s l i k e l y t o be pursued.
On the other hand, i f an i n s t i t u t i o n ' s management i s content w i t h the current

margin level , strongly disl i kes taking risks, has 1i t t l e confidence i n i t s
a b i l i t y t o forecast rates, and i s unable t o a1 t e r the organization's gap
position easily, a zero-gap strategy appears more a t t r a c t i v e .
The s h i f t by the Federal Reserve t o a monetary pggregate targeting
procedure in October 1979, i n combination w i t h several other forces, radically
a1 tered the operating environment of banks (and of a1 1 financial
institutions)

.

These developments affected the potential risks and returns of

both kinds of asset11 iabil i t y management strategies and so may have caused
management t o reevaluate, and perhaps a l t e r , the strategy previously pursued.
In particular, the s h i f t t o a monetary targeting procedure caused both
short-term and long-term i n t e r e s t r a t e s t o change more frequently and by much
larger amounts than they had i n the past.

Irregular unprecedented movements

in rates make accurate r a t e forecasting more d i f f i c u l t and anticipatory
gapping increasingly risky.

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-6A t t h e same time, i n t r a - and i n t e r i n d u s t r y competition were becoming more

intense f o r a l l f i r m s supplying f i n a n c i a l services.

Regulatory b a r r i e r s t o

p r i c i n g and product competition were being eliminated o r circumvented.

This

increase i n competition p u t pressure on the margins o f banks and a l l other
financial institutions.

Management might be induced t o gap more aggressively

under such circumstances i n an attempt t o delay, o r even reduce, margin
shrinkage t h a t stemmed from deregulation.
This study represents an attempt t o determine whether and how t h e gapmanagement s t r a t e g i e s pursued by a nonrandom sample o f 41 regional bank
holding companies 1ocated i n 11 d i f f e r e n t states changed a f t e r October 1979.

IV.

Evidence o f Rate Sensi t i v i t v

A D i r e c t Measure o f t h e Rate- Sensitivity Gap

From 1979 t o 1982, o n l y a l i m i t e d amount o f i n f o r m a t i o n on t h e r a t e s e n s i t i v i t y c h a r a c t e r i s t i c s o f holding company assets and 1i a b i l it i e s was
disc1osed i n pub1ished annual reports.
-

I t i s possible t o construct o n l y 1 gap

measure--a year-end, 12-month gap measure--for h o l d i n g companies from
a v a i l a b l e data.

Even t h i s gap measure requires a judgment about t h e r a t e -

sensi ti v i ty characteri s t i cs o f c e r t a i n bal ance-sheet i tems.

Thus, the gap

measures used here, l i k e any such measures, are r e l a t i v e l y crude indexes o f
each company's exposure t o market- rate changes.

Examination o f these measures

across companies and changes i n these measures over time i n d i c a t e whether and
how holding companies a1t e r e d t h e i r rate- sensi t i v i ty postures since 1979.
Year-end 1979, 1980, 1981, and 1982 estimated gap f i g u r e s f o r the sample
companies are reported i n appendix A.

D e t a i l s concerning the construction o f

.

these measures are i n c l uded i n t h i s appendix as we1 1

The data i n appendix A

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i n d i c a t e t h a t o n l y 9, o r 22.0 percent, of the sample companies had p o s i t i v e
12-month gaps at year-end 1979.

The mean 1979 gap r a t i o f o r t h e sample

companies was -5.9 percent.
L i t t l e evidence o f defensive balance-sheet adjustment i s apparent from
these gap measures through year-end 1980.
negative gaps a c t u a l l y increased t o 36.
year-end.

The number o f companies w i t h
The mean gap h i t -12.8 percent a t

The mean absolute value o f the gap rose from 8.3 percent i n 1979 t o

14.4 percent i n 1980, i n d i c a t i n g t h a t the companies generally d i d n o t reduce
the s i z e o f t h e i r gap p o s i t i o n (and so t h e i r exposure t o r a t e r i s k ) during
1 980.
However, a reversal o f t h e t r e n d toward greater 1i a b i l i t y s e n s i t i v i t y was
evident by the end o f 1981.

This might r e f l e c t an attempt by banks t o take

advantage o f an expected r i s e i n rates.

On the other hand, i t might i n d i c a t e

a general desire t o move i n t h e d i r e c t i o n o f a zero gap, given t h e
unpredictable r a t e movements during t h i s period.
gap p o s i t i o n was -8.2 percent.

I n t h i s case, the mean 1981

A formal t e s t i n d i c a t e d t h a t t h e d i f f e r e n c e

between the 1981 and 1980 mean gap r a t i o s was h i g h l y s i g n i f i c a n t .

The change

i n the gap was p o s i t i v e a t 33 companies.
The data suggest t h a t companies generally reduced t h e i r i n t e r e s t - r a t e r i s k
exposure d u r i n g 1981.

The absolute value o f t h e gap declined a t 32 o f t h e

sample companies, and the mean absolute value o f t h e 1-year gap measures f e l l
by roughly 5 percentage p o i n t s t o 9.8 percent.
The general movement i n the d i r e c t i o n o f asset s e n s i t i v i t y continued
during 1982.

Thi r t y - e ig h t companies exhib i t e d p o s i t i v e gap changes.

Twenty-one o f the sample companies had p o s i t i v e one-year gaps a t the end o f
t h i s year.

The mean 1982 gap p o s i t i o n was -0.1 percent.

However, the

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mediangap was s l i g h t l y p o s i t i v e a t 0.7 percent.

The d i f f e r e n c e between the

1982 and 1981 mean gap measures i s again s t a t i s t i c a l l y s i g n i f i c a n t .
The absol u t e val ue gap measures i n d i c a t e t h a t h o l ding companies general l y
were u n w i l l i n g t o bear as much r a t e r i s k as i n t h e past.

The mean absolute

.

value o f t h e gap again declined t o 6.3 percent and was be1ow t h e 1979 1eve1

The absolute value o f the gaps of 32 companies was lower i n 1982 than i t had
been i n 1981.

Twenty- five o f the companies reduced t h e absolute value o f

t h e i r gaps i n both o f t h e two preceding years.

I n d i r e c t Rate- Sensitivity Gap Measures
N I M beta.

As noted i n section 11, r e l a t i v e l y long- term gap measures (1i k e

12-month measures) provide only 1i m i t e d i n s i g h t on hol ding company exposure t o
r a t e changes occurring over shorter i n t e r v a l s , such as a month o r a quarter.
Determination o f t h i s exposure requires d e t a i l e d knowledge o f each
i n s t i t u t i o n ' s shorter- term gap p o s i t i o n s - - i t s 30- o r 90-day gap.
Few h o l d i n g companies published t h e data necessary t o construct such
short- term gap measures over the 1979 t o 1982 i n t e r v a l .

However, i t i s

possible t o obtain two types o f estimates o f h o l d i n g company short- term gap
p o s i t i o n s using non-bal ance-sheet data t h a t are a v a i l able.
The c o r r e l a t i o n between changes i n an organization's N I M and changes i n
market r a t e s occurring over r e l a t i v e l y short time periods generally depends
upon i t s short-term gap position.

A p o s i t i v e c o r r e l a t i o n i n d i c a t e s i t has a

p o s i t i v e short- term gap; a negative c o r r e l a t i o n , a negative short- term gap; a
zero c o r r e l a t i o n , a zero short- term gap.

This suggests t h a t the regression

c o e f f i c i e n t obtained by regressing t h e short- run change i n a hol ding company ' s
N I M on the corresponding change i n a representative market r a t e o f i n t e r e s t

.

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- 9 can be used as an estimate o f i t s short- term gap position.10
t o t h i s c o e f f i c i e n t here as a company's N I M beta.

We w i l l r e f e r

The sign o f t h e estimated

c o e f f i c i e n t i n d i c a t e s t h e nature o f i t s gap--a p o s i t i v e c o e f f i c i e n t , a
p o s i t i v e gap and vice-versa.

The s t a t i s t i c a l s i g n i f i c a n c e and absol u t e val ue

o f t h e c o e f f i c i e n t provide i n s i g h t t o t h e s i z e o f the gap; a s i g n i f i c a n t l a r g e
c o e f f i c i e n t imp1i e s a 1arge-gap p o s i t i o n .

An i n s i g n i f i c a n t c o e f f i c i e n t

suggests t h a t an i n s t i t u t i o n i s roughly balanced.
Q u a r t e r l y n e t - i n t e r e s t margin data were used t o estimate such a regression
f o r each o f the sample companies f o r several subperiods from t h e f i r s t quarter
o f 1977 t o t h e t h i r d quarter o f 1983.

The regression r e s u l t s are d e t a i l e d i n

appendix B.
A1 though a 1arge proportion o f t h e companies had negative 1-year gaps i n
1979, re1a t i v e l y few (16 ) e x h i b i t e d negative regression c o e f f i c i e n t s from the
t h i r d quarter o f 1977 t o the t h i r d quarter o f 1979.

J u s t two o f these

companies had c o e f f i c i e n t s s i g n i f i c a n t a t t h e 10 percent 1eve1 ( 2 - t a i l t e s t ) .
Twenty- five o f the companies had p o s i t i v e c o e f f i c i e n t s , suggesting p o s i t i v e
short- term gaps.
s i gni f i c a n t .

However, only two o f these p o s i t i v e c o e f f i c i e n t s were

The mean c o e f f i c i e n t f o r t h e companies w i t h negative

c o e f f i c i e n t s was -0.0678,
was 0.0757.

and f o r t h e companies w i t h p o s i t i v e c o e f f i c i e n t s i t

The mean absolute value o f the c o e f f i c i e n t s f o r a l l companies was

0.0726 f o r t h e pre-October 1979 period.
C o e f f i c i e n t s obtained from regressions estimated over t h e e n t i r e p e r i o d
from the f o u r t h quarter o f 1979 t o t h e t h i r d quarter o f 1983 suggest t h a t
short- term gap p o s i t i o n adjustments were s i m i l a r t o t h e longer- term gap
changes noted above.

I n p a r t i c u l a r , a movement i n the d i r e c t i o n o f asset

s e n s i t i v i t y i s evident a f t e r 1979.

A t o t a l o f 31 companies e x h i b i t

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posi tivecoefficients for t h i s interval ; 13 of these are significant.

Only ten

companies had negative coefficients, w i t h just one being significant.

Further, the regression r e s u l t s suggest t h a t companies generally maintained
small er short-term gap positions i n the post-October 1979 interval

.

The coefficient for companies w i t h positive coefficients i s 0.0353; for

the companies w i t h negative coefficients, i t i s -0.0219.

The absolute value

of the coefficient declined a t 33 of the sample companies, and the mean
absolute value of the coefficient i s roughly one-half what i t was i n the
pre-October 1979 period:

0.0320 as opposed t o 0.0726.

However, i f the post-October 1979 period i s broken into two subperiods of
roughly equal 1ength (from the fourth quarter of 1979 t o the fourth quarter of
1981 and from the f i r s t quarter of 1982 t o the third quarter of 1983), the
regression r e s u l t s suggest short-term rate- sensitivity adjustments not
apparent when the entire period i s examined.
The results indicate t h a t most companies (36) had positive short-term gaps
i n the f i r s t post-October 1979 subperiod.

coefficients are significant.

Eighteen of the 36 regression

This presumably r e f l e c t s the expectation t h a t

short-term rates would r i s e over this interval.
coefficients i s significant.

J u s t one of the five negative

The mean coefficient for the companies w i t h

positive coefficients was 0.0396, a s opposed t o -0.0382 for the companies w i t h
negative coefficients.

The mean absolute value of a l l coefficients was 0.0394.

Estimated coefficients for the second subperiod suggest the short-term
gaps of most companies turned negative toward the end of 1981.

T h i s may

r e f l e c t deliberate adjustments t o take advantage of an expected decline i n

short-term r a t e s or an inabil i ty t o o f f s e t 1iabil i t y composition changes dueto

.' '

the introduction of money market deposit accounts (MMDAS)

Thi rty- six of

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the estimated coefficients are negative for t h i s interval; thirteen of these
are significant.

The mean of the negative coefficients was -0.0813.

of the positive coefficient was 0.0551.
coefficients was 0.0782.

The mean

The mean absol ute value of a1 1

The l a t t e r i s well above the corresponding value f o r

the 1979 t o 1981 period, indicating t h a t companies were generally will i n g t o
assume more i nterest- rate ri s k a f t e r 1981
Debt index beta.

.

I t i s possible to derive another measure of

i nterest- rate s e n s i t i v i t y f o r pub1 i c l y traded bank holding companies from

stock market data.

Essenti a1 l y t h i s is accompl i shed by regressing the

periodic r a t e of return on a holding company's stock on some type of
i nterest- rate index and some broad stock-market index (which has been

orthogonalized w i t h respect t o the interest- rate index t o eliminate
correl a t i on between the two i ndependent vari abl e s ) 12

.

'

A variety of interest- rate indexes have been employed i n previous

research.

In most studies, the r a t e of return on a debt instrument or bond

index has been used; this i s the approach taken i n t h i s study.'

A1 though

several alternatives were employed, the results reported are from regressions
where the r a t e of return on an index of high-grade corporate bonds was used a s
the interest- rate index. 14
The estimated coefficient on the bond index return variable i n the
regression equation i s an estimate of the market's view of the
rate-sensi t i v i t y posture of a holding company.
beta i n this study.

I t i s termed the -debt index

Since bond returns move inversely w i t h i n t e r e s t rates, a

positive significant coefficient on the bond return variable indicates t h a t
the company's market value decl ines when market rates r i s e .

This suggests

t h a t the market considers the company to be 1i abi 1i ty-sensi ti ve (RSL

> RSA).

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Larger positive coefficients suggest larger negative gaps.

The market value

of companies w i t h relatively large positive gaps should not decline
significantly as rates r i s e , because t h e i r profi tabil i ty should move i n tandem
w i t h market rates.

Thus, such companies should exhibit negative or
insignificant positive debt index return coefficients. 15
The regression resul ts for the sample companies appear i n appendix C.

Monthly rate-of-return data were used.

Again, the regressions are estimated

for a variety of subperiods from January 1977 t o September 1983.
The mean bond index return coefficient, or mean debt index beta, was
0.0085 f o r the sample companies i n the pre-October 1979 period.

Ten of these

coefficients are significant a t the 10 percent level i f a 2- tailed hypothesis
t e s t i s conducted.

The mean coefficient for these 10 companies was 0.0147.

The mean debt index beta coefficient was 0.0053 for the sample companies
when the regressions were estimated for the e n t i r e post-October 1979 period.
The coefficients of 18 companies were lower for t h i s interval than they were
i n the preceding period.

the l a t t e r period.

However, 34 of the coefficients are significant i n

Thus, the debt index beta r e s u l t s for the e n t i r e

post-October 1979 interval seem t o conflict w i t h the NIM beta results f o r the
same period.
Regression results for October 1979 t o December 1981 yield a mean debt
index beta coefficient of 0.0055 f o r a l l sample companies.

The mean

coefficient i s 0.0064 for the 29 companies w i t h significant coefficients.
These findings suggest t h a t many companies were viewed by the market a s
l i a b i l ity- sensitive over t h i s period, a1 though the NIM beta findings, and t o a
l e s s e r extent the long-term gap measures, suggest a general movement i n the
direction of asset sensitivity.

The coefficients of 27 sampl e companies

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- 13 were 1ower i n t h i s p e r i o d than they had been before October 1979, confirming
t h e decreased w i l l i n g n e s s t o bear r a t e r i s k revealed by t h e o t h e r 2 measures
f o r t h i s time period.
Results f o r the January 1982 t o September 1983 p e r i o d reveal t h a t t h e mean
c o e f f i c i e n t f o r a l l sample companies decl i n e d s l i g h t l y t o 0.0053.

However,

the mean debt index beta c o e f f i c i e n t f o r 19 companies w i t h s i g n i f i c a n t
c o e f f i c i e n t s was 0.0086--above the value f o r s i m i l a r companies i n t h e
preceding time period.

Thus, the debt index beta r e s u l t s do n o t r e f l e c t t h e

marked s h i f t t o short- term 1i a b i l ity s e n s i t i v i t y a f t e r 1981 t h a t i s i n d i c a t e d
by the NIM beta measures.
The 1982 t o 1983 c o e f f i c i e n t s o f o n l y 18 companies were smaller than
the previous period.

in

The 1982-83 c o e f f i c i e n t s of 27, o r roughly two- thirds,

o f the sample companies were below the value f o r t h e pre-October 1979
interval.

However, o n l y t e n companies showed c o n s i s t e n t period- to- period

declines over t h e e n t i r e 1977-83 i n t e r v a l .

These r e s u l t s confirm the

bounce-back (suggested by the N I M beta measures) i n t h e w i l l ingness o f h o l d i n g
companies t o bear r a t e r i s k .

V.

A Comparison o f the Findings Obtained Using the

A1 t e r n a t i v e Rate-Sensi t i v i ty Measures

The d i f f e r e n t measures o f r a t e s e n s i t i v i t y produce s l i g h t l y d i f f e r e n t
p i c t u r e s o f changes i n h o l d i n g company gap-management s t r a t e g y from 1977 t o
1983.

This p o i n t becomes more c l e a r i f the three d i f f e r e n t r a t e - s e n s i t i v i ty

measures derived f o r each company are c o r r e l a t e d w i t h one another across
companies f o r each o f the three sub- interval s examined (see t a b l e 1 ).

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Tab1e 1 Correlation Coefficients

Ratesensitivity
measures

N I M beta

Debt
index
beta

Jan. 1977-Sept. 1979
Oct. 1979-Dec. 1981
Jan. 1982-Sept. 1983

.271 b
-.I31

- .294b
- .045

N I M beta

Jan. 1977-Sept. 1979
Oct. 1979-Dec. 1981
Jan. 1982-Sept. 1983

a. The gap measure used for the October 1979 t o December 1981 period was an
average of the 1979, 1980, and 1981 year-end gap figures. For the January
1982 t o September 1983 interval, the gap measure was the 1982 year-end figure.
b. Significant a t the 10 percent level, 2-tailed test.

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As noted i n section 11, any long-term gap p o s i t i o n can be c o n s i s t e n t w i t h
a wide v a r i e t y o f shorter- term gap positions.

Thus, t h e r e l a t i o n s h i p between

a company's 12-month gap measure and the other r a t e - s e n s i t i v i t y measures i s
n o t clear, a p r i o r i

.

However, since the 12-month gap i s determined by a

company's sequence o f shorter- term gaps, i t seems reasonable t o expect t o f i n d
a p o s i t i v e c o r r e l a t i o n between the company's 12-month gap and N I M beta,
a1though the c o r r e l a t i on m i ght be weak.

A s i gni f icant p o s i t i v e c o r r e l a t i o n

was discovered, b u t only f o r the October 1979 t o December 1981 i n t e r v a l

.

The

c o r r e l a t i o n s f o r the other i n t e r v a l s were negative and weak.
S i m i l a r l y , t h e re1ationship between a company's 12-month gap measure and
i t s debt index beta could be loose.

However, a negative c o r r e l a t i o n between

such measures appears more l i k e l y than a p o s i t i v e one.

A s i g n i f i c a n t negative

r e l a t i o n s h i p was detected but, as was the case above, only f o r the October
1979 t o December 1981 period.
The r e l a t i o n s h i p between the N I M beta and debt index beta measures a l s o i s
n o t determinate, b u t a negative r e l a t i o n s h i p appears l i k e l y .

A negative

c o r r e l a t i o n was found i n only two o f the three periods examined, and none o f
the correlations i s significant.
Each measure does p a i n t a s l i g h t l y d i f f e r e n t p i c t u r e o f t h e r a t e s e n s i t i v i t y posture o f the sample companies over t h i s time period.
However, the three sets o f measures taken together i n d i c a t e t h a t holding
companies generally changed t h e i r rate- sensi t i v i ty postures.
I

P r i o r t o October

1979, the t y p i c a l h o l d i n g company had a negative long-term gap.

However, t h e

N I M beta and debt index beta measure r e s u l t s suggest t h a t they d i d n o t
t y p i c a l l y have l a r g e negative short- term gaps during t h i s time period as
well.

Changes i n t h e sample companies' 12-month gap and N I M beta measures i n

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- 16 the immediate post-October 1979 period suggest t h a t companies reacted t o the
rate v o l a t i l i t y i n this interval by moving toward a s s e t sensitivity.

The NIM

beta r e s u l t s seem t o indicate t h a t most companies managed t o adjust t h e i r
short-term gap positions quickly i n this manner.

However, the debt index beta

results suggest t h a t the market discounted short-term gap adjustments and
penalized companies w i t h longer-term negative gaps.

The general decline i n

the size of a l l of the rate-sensi t i v i t y measures indicates t h a t most companies
maintained small e r gap positions d u r i n g t h i s interval

.

Results for the final subperiod reveal t h a t the rate- sensitivity trends
f i r s t evidenced a f t e r October 1979 generally d i d not continue.

The NIM beta

results indicate t h a t the short-term gaps of many companies turned from
positive to negative.

Further, two of the three measures suggest e i t h e r t h a t

holding companies became more w i l l i n g t o assume interest- rate risk i n the 1982
to 1983 period, or t h a t they were forced t o do so because of an i n a b i l i t y t o
o f f s e t changes i n l i a b i l i t y composition t h a t were due t o deposit-rate
deregulation.

VI.

Summary and Conclusions

The results suggest t h a t holding companies d i d a1 t e r t h e i r ratesensitivity postures a f t e r October 1979.

In the 1980 t o 1981 period, holding

companies generally moved toward asset sensitivity and reduced the size of
t h e i r gap positions.

However, the changes varied across companies and do not

appear t o have been permanent. This behavior i s not surprising i n view of the
factors influencing management's choice of an appropriate a s s e t / l i a b i l i t y
management strategy a s identified above.

For example, gapping might have

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- 17 appeared l e s s r i s k y (and so more a t t r a c t i v e ) as r a t e v o l a t i l i t y declined i n
1981, and t h e Federal Reserve announced t h a t i t would abandon i t s s t r i c t
monetary t a r g e t i n g strategy.

On the o t h e r hand, margin pressures may have

forced management t o take on more r i s k t o boost expected returns.

It i s a l s o

possible t h a t h o l d i n g company management became more w i l l i n g t o assume r a t e
r i s k i n 1982 and 1983, because i t had f i n a l l y detected and corrected perceived
d e f i c i e n c i e s o r improved the asset11 iabi 1ity management p r a c t i c e s used before
October 1979.
Given t h a t a company's optimal r a t e - s e n s i t i v i t y posture i s a f u n c t i o n o f
several f a c t o r s t h a t t y p i c a l l y change over time, i t i s n o t possible t o
unambiguously determine a s i n g l e c o r r e c t posture f o r a l l companies f o r a l l
times.

Thus, i t i s n o t possible t o conclude t h a t the adjustments evident i n

the most recent period are inappropriate.

This implies t h a t i t would be

d i f f i c u l t t o implement a system o f deposit insurance p r i c i n g t h a t t i e s an
i n s t i t u t i o n ' s premi um t o a measure o f i t s in t e r e s t - r a t e r i s k w i t h o u t
generating a v a r i e t y o f unintended, perhaps undesirable, changes i n bank
behavior.

U n t i l more i s known about how banks determine t h e i r o v e r a l l r i s k

exposure and exposure t o t h e various kinds o f r i s k , the b e n e f i t s and costs
produced by changing the incentives f o r banks t o take p a r t i c u l a r types o f
r i s k s w i l l remain uncertain.

Given t h i s uncertainty, regulatory changes t h a t

a f f e c t the w i l l i n g n e s s o f banks t o take r i s k s should be c a r e f u l l y considered.

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Appendix A

The 12-month gaps l i s t e d i n table 2 were derived by subtracting each
i n s t i t u t i o n ' s estimated total volume of rate-sensi tive 1iabil i t i e s ( t h a t is,
those subject t o repricing over the ensuing 12-month interval ) from i t s
estimated volume of rate- sensitive assets.
i n s t i t u t i o n ' s average earning assets.
company annual reports.

T h i s total was then divided by the

A1 1 data were drawn from bank holding

Total estimated rate-sensi t i v e 1iabil i t i e s were

assumed t o be the sum of 1arge-denomi nation ($100,000) c e r t i f i c a t e s of deposit
(CDs), deposits i n foreign offices, federal funds purchased, securities sold
under agreement t o repurchase, other debt w i t h an original maturity of one
year or 1ess, and 1ong-term debt w i t h a remaining maturity of one year.

In

addition, the mean r a t i o of money market c e r t i f i c a t e s t o total deposits ( l e s s
1arge CDs) f o r a1 1 banks i n each holding company's s t a t e for each year i n the
period was used as an estimate of the percentage of i t s small-denomination
time deposits t h a t were rate-sensi tive.

'

T h i s percentage times i t s volume of

total deposits (1ess 1arge CDs) produced an estimate of rate-sensi t i v e
small -denomination time deposits and was i ncl uded i n the 1i abi 1i ty total

.

Total rate- sensitive assets were the sum of federal funds sold, securities
purchased under agreements t o r e s e l l , investment securities w i t h remaining
maturity of one year or 1ess, trading account securities, floating- rate 1oans,
and fixed- r a t e 1oans with remaining maturi t i e s of one year or less.

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Table 2
Company

Holding Company 12-Month Gaps
Gap 1979

Gap 1980

Gap 1981

Gap 1982

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Tab1 e 2 Hol ding Company 12-Month Gaps (Continued)
Company
VA-1
VA-2
VA-3
VA-4
VA- 5

Gap 1979

Gap 1980

Gap 1981

Gap 1982

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Appendix B

Regression Results:

Corn anyCoeff.
P

t- stat.

.

NIM Betas

Coeff.

t- stat.

Coeff.

t- stat.

AL-1
AL-2
AL-3
AL-4
AL-5

.0699
.2314
.0327
,0307
-.0548

1.38
4.70"
0.55
0.70
-0.82

.0143
.0372
.0107
.0530
0255

0.81
1.72
0.40
2.29*
1.56

.0241
.0547
.0163
.0637
.0376

1.22
2.93*
0.57
2.23"
2.44"

MA-1

.0596

1.62

.0150

0.84

.0298

1.92*

MO- 1
MO-2
MO-3
MO-4

.I292
-.0104
.0901
-.0300

0.98
-0.25
1.02
-0.66

.0802
-.0170
-.0108
.0152

1.70
-0.75
-0.20
0.90

.I092

.0015
.0195

2.50*
-3.82*
0.05
0.86

TN-1
TN-2
TN-3

.0144
.0460
.0613

0.28
0.43
0.79

.0473
-.0027
.0292

1.87"
-0.21
2.01*

.0662
.0093
.0471

5.70*
0.76
3.09*

- .0343

Coeff.

t- stat.

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Ap~endix B Rearession Resul t s : N I M Betas (Continued)

Company Coeff.

t- stat.

VA-1
VA- 2
VA-3
VA-4
VA-5

1.55
0.05
0.51
2.10"
1.53

- ---

*

.0869
.0035
-.0222
.0942
.I011

Coeff.
-

t- stat.

Coeff.

-

Significant a t the 10 percent level , 2- tai 1 t e s t .

t- stat.

Coeff.
-

t- stat.

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Appendix C

Regression Results:

Debt Index Betas
82:l

Company Coeff.

t- stat.

Coeff.

t- stat.

Coeff.

t- stat.

Coeff.

-83: 9
t- stat.

.0053
.0068
.0057
.0077
.0108

2.07"
1.29
1.74"
1.96"
2.78"

.0080
.W95

2.36"
1.82"

.

01 00
-.0010
.0041
.0092
.0080

2.45"
-0.26
1.09
2.88"
2.25"

.0099

1.93"

.0063

2.11"

.0003
.0069
.0030
.0042

0.34
3.18"
0.68
-1.03

.0139
.0063
.0079
.0070
.0103

1.87"
1.48
1.91"
1.92"
2.82"

.0061
.0046
.0010
.W92

1.52
0.85
0.21
3.02"

.0033
.0054
.003 9

0.83
1.09
0.86

,0008
.0071
.0020
.0067

0.15
1.54
0.41
1.54

-

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Appendix C

Regression Resul t s : Debt Index Betas (Continued)

Corn any Coeff.
t- stat.
P
-

-

jSi gni f i c a n t

-

Coeff.

t- stat.

Coeff.

- -

a t t h e 10 percent 1eve1, 2- tai 1 t e s t .

t- stat.

Coeff.

t- stat.

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Footnotes
1. Although the procedure was changed again i n August 1982, t h e emphasis on
reserve supply remains re1a t i v e l y greater than before 1979.
2. Bank non- interest income i s r e l a t i v e l y stable and l e s s than operating
expense. Thus, n e t i n t e r e s t earnings are the key determinant o f o v e r a l l
p r o fit a b i 1ity

.

3. A number o f authors have made a strong case i n favor o f using the concept
o f duration analysis t o create an a l t e r n a t i v e index measure o f r a t e
s e n s i t i v i t y - - t h e so- called duration gap. For a discussion o f duration-gap
model s, see Toevs and Haney ( 1984). While duration- gap measures have a number
o f a t t r a c t i v e p r o p e r t i e s r e l a t i v e t o p e r i o d i c gap models, they do have one
p a r t i c u l a r l y n e t t 1esome drawback--1 arge amounts o f very d e t a i 1ed
a s s e t / l i a b i l i t y c h a r a c t e r i s t i c information are r e q u i r e d t o construct them.
This i s why such measures are n o t used i n t h i s study.

4. Actually, precise measurement o f r a t e - s e n s i t i v e assets and l i a b i l i t y
t o t a l s i s q u i t e complicated. For example, i n t e r e s t - r a t e and p r i n c i p a l
payments received must be considered, prepayments and d e f a u l t s should be
estimated, and estimates o f the r a t e - s e n s i t i v e p o r t i o n s o f l i a b i l i t i e s without
e x p l i c i t m a t u r i t i e s must be obtained. For a discussion o f these issues, see
t h e studies i n footnote 6.
5. This discussion and a l l t h a t follows presume t h a t banks do n o t hedge
exposed gap p o s i t i o n s w i t h off- balance- sheet devices such as i n t e r e s t - r a t e
f u t u r e s o r other techniques such as i n t e r e s t - r a t e swaps. Available evidence
suggests t h a t most banks d i d n o t a c t i v e l y hedge t h e i r gap p o s i t i o n s i n t h i s
way from 1979 t o 1982.

6. For an extensive discussion o f problems and complications involved i n gap
model s, see Binder and L i ndqui s t ( 1982 ), Kaufman (1 984), and especi a1l y Toevs
(1983) and Toevs and Haney (1 984).
7. Again, off- balance hedging could a l t e r these r e l a t i o n s h i p s and i s assumed
t o be immaterial.
8. Management's choice o f i n t e r e s t - r a t e r i s k exposure has a d i r e c t and
i n d i r e c t impact on the organization ' s t o t a l r i s k exposure, because i t
influences other dimensions o f r i s k . For example, i n t e r e s t - r a t e r i s k exposure
a f f e c t s an i n s t i t u t i o n ' s c r e d i t r i s k and 1i q u i d i t y r i s k .

9. Both s t r a t e g i e s presume t h a t bank management i s able t o exercise a
considerable amount o f c o n t r o l over i t s organization's rate- sensi t i v i t y
posture. Realis t i c a l l y, desired bal ance-sheet adjustments take time and can
be c o s t l y . Desired gap adjustments may be constrained by c o n f l i c t i n g customer
preferences and competi t i v e pressures.

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10. Such a technique was used i n Olson and Simonson (1982). Here, t h e 90-day
negotiable CD r a t e was used as the representative market rate.
11. The MMDA was e s s e n t i a l l y t h e f i r s t r e t a i l deposit product without a r a t e
c e i l i n g . Financial i n s t i t u t i o n s could thus attempt t o b i d funds away from
competitors. However, since t h i s was n o t possible i n the past, customer and
competitor r e a c t i o n t o MMDA p r i c i n g d i f f e r e n t i a l s were unknown. As a r e s u l t ,
p r e d i c t i o n o f i n f l o w s i n t o MMDAs was subject t o e r r o r , and i n f l o w s probably
surprised asset/l i a b i l ity managers a t most i n s t i t u t i o n s . MMDAs a t commercial
banks went from zero i n November 1982 t o over $185 b i l l i o n by the end o f t h e
f i r s t quarter o f 1983. Because the maximum nominal m a t u r i t y on MMDAs i s one
month (and the e f f e c t i v e m a t u r i t y could be l e s s ) , these funds c o n s t i t u t e
re1a t i v e l y short- term 1i a b i 1iti es. Large i n f l o w s may have resul t e d i n
undesired increases i n 1i a b i l ity s e n s i t i v i t y .
12. See Chance and Lane (19801, Lloyd and Shick (1977), Lynge and Zumwal t
(1 980), and F l annery and James (1 984b).
13. Actually, the i n t e r e s t - r a t e index should be a measure o f unanticipated
r a t e movements--that i s , a whi te- noise process. Formal s t a t i s t i c a l t e s t s
i n d i c a t e d t h a t the index used i n t h i s study could be t r e a t e d as a white- noise
process and so t h e r a t e series was n o t transformed i n any way. Flannery and
James (1984b) found t h a t t h e i r r e s u l t s were n o t a f f e c t e d when they used
various o r i g i n a l r a t e series instead o f a pre-whitened series.
14. S p e c i f i c a l l y , t h e Salomon Brothers r a t e o f r e t u r n index f o r a p o r t f o l i o
o f high-grade corporate bonds was used i n the regressions reported.
15. It i s uncertain whether asset- sensitive companies w i l l e x h i b i t negative
s i g n i f i c a n t c o e f f i c i e n t s . Some observers have argued t h a t the market values
o f asset- sensitive companies w i l l n o t change s i g n i f i c a n t l y as market r a t e s
change, because the n e t income o f such companies w i l l r i s e and f a l l i n tandem
w i t h market r a t e s and, presumably, t h e r a t e s i n v e s t o r s use t o discount t h e i r
cash f l o w streams o f banking organizations.

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References
Aspi nwel 1, Richard C. "Managing I n t e r e s t Rate Risk: The Basic Concepts ,"
Proceedings o f a Conference on Bank S t r u c t u r e and Competition, Federal
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o f Bank Assets and L i a b i l ities," Journal o f Money, C r e d i t and Banking,
vol. 16, no. 4 (November 1984a), pp. 435 45.

-

.

"The E f f e c t o f I n t e r e s t Rate Changes on the Common
Stock Returns o f Financial I n s t i t u t i o n s , " Journal o f Finance, vol
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