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A Series of Occasional Papers in Draft Form Prepared by Members of the Research Department for Review and Comment. 76-3 Long-Run Deposit Variability Chayim Herzig-Marx Federal Reserve Bank of Chicago ♦♦♦♦♦♦♦♦♦ixixJiU ♦♦i Research LONG-RUN DEPOSIT Paper No. 76-3 VARIABILITY By Chayim Herzig-Marx Department Federal The views and do Reserve material to expressed not of herein stimulate of is of discussion, the Research Bank are or a the Chicago the those views of of the the authors Federal Federal Reserve System. preliminary nature, is and authors. of solely represent Chicago contained permission Reserve necessarily Bank of is not to be quoted The circulated without I. The variability a month, or years.^ Almost ability of a of quarter— no bank has deposits been attention deposits around authorities alike, the banking system, the speed banks, and the count by window. considerable growth gets of and the determinants of of The are necessity deposits purpose variability somewhat explain imagined ad h oc in or nature, of Keyt necessary and to Jan provided affiliation Seventh 1 See, of e.g., Since [2], the [4], [5], however, planning this paper is around liquidity resort to the dis to b e of conscious of of in portfolio likely are spans vari policy, horizon longer to recent short-run of is who in of management time wi l l to b e g i n to a trend. growth be examine Model models the to b e sense around a supplied and on the discussed that a growth are many data information District must a week, to m o n e t a r y to m o n e t a r y managers deposits and level banks time— given Certainly over there Gigstad compile Paulette Karas in deposits constructed. of of econometric the v a r i a t i o n ^Robert support the (bank) the been necessary to w h i c h as II. Of the of intensively to b a n k e r s variability, is, periods has trend. adjustment corporate variability concern. of extent That however, concern affects deposit to stability. longer, greater Long-run it short relatively growth immediate since concern all, their is over studied at variability decisions of m o r e INTRODUCTION* the this rigorous trend (also is them holding paper model not to easily ad h o c ) short-term extensive prepare in programming for company analysis. status and banks. [6], [7]. O A a ratings of recent significant and interest article those to [1] found discriminator rated that long-run between banks inadequate. Thus regulators also. deposit receiving long-run variability adequate was regulatory variability may be 2 models, we can reasonable to Studies do of determinants deposits. age of their of the accounts is This, their must Considerations sectors It will is have to the deposits to b a n k s . tively less longer periods, finding a extends In found tant one that of model this it their structures in of the for that a non where of m a r k e t [4] the more it seems must have it is of related do not deposit on structure that periods, over the and types to ownership. deposit us for banks various variability of supply experience over periods. size long-run among deposit is m e a s u r e d absolute governments accounts. conditions shorter deposit other distribution large percent government long-run and of than payments, that concern variability variability greater likely be effects reports breakdown a higher making to primary volatile with direction that the ownership banks purpose Thus, variability when long the found se q u i t u r , since when ownership appreciable have are much opposite unlikely higher and necessarily of If of rela relatively K a u f m a n ’s the b a n k may be variability. of short-run rate of variables. can also demand deposits According considerably more result is deposit quite bank governments is not variability thought somewhere. need growth explanatory experienced go to v e r y study the from deposits by Kaufman but the course, effects deposit determinant owned of any relative of sometimes flows variability variability. size deposits show deposit government deposits payments Overall short-run it variability. down extrapolate so. Because deposits, those to to b e IPC draw try be deposit and variability average to h i s results, variability of expected obtain. to account deposits. This [5], size were faster In Murphy a growing impor banks long-run conjecture probably 3 reflects of the nature new banks, instability. economic in an Rapid growth a the account flow long-run As with structure out economic of to banks one on account slowly response. high then of the Such find a of price the of deposit existence Whatever is any the deposits the absolute the of in is characteristic likely to exhibit of rapidly abrupt the M u r p h y smaller in account. the bank's change greater improving demographic study relative This because terms factor larger year of rate as events in its rivals one In is or the will not be important affected effort, likely swiftly its by demand and savings the time the b a n k ’s m a r k e t , the variability likely smaller, deposits example, will f i r m ’s m a r k e t in in share. less obvious and deposits. larger its to be. relative the market. have deposits deposits for the during advertising for is can greater rapidly their that in market while more of react growing is m a d e of case we changes up the m a r k e t possible to h a v e to step long-run level bank to is this tend banks and it rivals deposits, for causes advertising ceilings of the firms, influence. at its structure share of deposits campaign, the an to concentrated markets efforts smaller in relating have leadership overall r i v a l ’s a d v e r t i s i n g tively, that successful chain impossibility larger are result interdependence next a may in m o r e promotional might The of the phenomena the m a r k e t We of the important or shares. share was into because in size average, variability grow more newness growth characteristic themselves on that year also rapid context. all strongly is their is, hypothesize and of process— changes. account deposit growth because circumstances, Average any the which technological larger of terms, Thus, effect, a rela 4 Degree ability. pondent A higher by of cyclical of rivals. expect to see to v a r i a b i l i t y . tion of bank as h o l d i n g companies attention It to is organization might rather case than of or family. to tax vehicle agency). or Clearly, to expect apply most forcefully some duced will take a and growth of as of which with the seek to or a may companies are dummy the an affiliated with of accident in the individual company insurance organized hypothesis variable it. subordinate the h o l d i n g expect more likely be multibank holding banks form single of those pay diminish is m o r e by and organized historical ownership the rationaliza are company controlled (e.g., relationship either considerations Therefore, to Unfortunately, simultaneous them. of concentration, companies This can fact diversification convenience and we strongly reactions significant actively ownership the areas. holding philosophy. corres faster the holding of offer be more represents banks vari a problem. purposes that banks diversification, of be have companies facilitate account may the a matter aspects to urbanized and more management though, market for means deposit will may account, affiliated with represent legal serve for areas addition, company movement variability that geographic companies. are in should structure can In this variables one-bank holding other may two holding We on affect deposits probably variability Diversification and might affiliation a positive small, we may urban banks* agents long-run possible in economic corporate planning. banks variations. these The long-range of markets business higher company banking correspondent Thus, collinearity between Holding of proportion and population actions also urbanization services, affected denser of to b e for to intro multibank holding 5 III. The Seventh Cost the sample District Analysis sample deposit in member is are Indiana, test to w e l l million, in these which shows Iowa, Results relationships FCA banks considerable over are size is in composed the 1972 rather total with are and in 160 size, banks deposits. ranging Mean Geographically chartered 24 of Functional small $45 m i l l i o n . banks in Michigan, in is diversity, $1 b i l l i o n Sixty-six 21 and participated median diverse. 29 Sample, While most used $32 also to banks program. $5 m i l l i o n size the banks banks actually from under 20 of Data, in Illinois, in Wisconsin. Twenty- 3 one of the For banks purposes within which which of affiliated with of this the b a n k conforms the are Federal study, (or its closely with Reserve holding a banking market head that System, multibank office) usually is is defined located. adopted justified is companies. (for by This the the as county definition, Board same the of Governors sample of banks) i n [3]. The on dependent deposits, D(t) the m e a n scaling above 1964 to 1971, calculated in by logarithmic regressing form, on annual time. observations Algebraically, = D ( t = 0 ) ( l + g ) fc, o r logD(t) Deposit from variable was = logD(t=0) variability of deposits purposes). is + the tlog(l+g). ratio of (to n o r m a l i z e The rate og the standard for b a n k growth of error size) deposits of the multiplied (DEPGR0) estimate by is 100 g to (for from the relations. o In addition, two more banks are controlled by one-bank holding com panies. 6 Bank holder size equity different is m e a s u r e d and total results. significance were the centration Summary alternatives the the m a r k e t reciprocal a of smaller is n e g a t i v e . in is an a density same in (CONCE) the to all is deposits cases, and represented Herfindahl numbers Market from dummy represent variable zero living in persons calculated to dummy SMSA, the p o p u l a t i o n A in variables (SMSA) located of Experimentation with revealed levels stock no of index. equivalent, shares are by the Since the greater expected calculated numbers con sign from the of 1970 of D e p o s i t s . Three first were as (DEPS). comparable. implies concentration deposits assets Signs Concentration equivalent, by per 1970 taking otherwise. in urban square Census variable degree (HC) of on The the value second areas, mile. urbanization were and Both (PURB) the the one is third latter if tried. the b a n k the is percentage (PDEN) two The is population variables were data. is used to represent multibank holding company affiliation. Table I presents Estimates for three deposits, and time able is deposit classes and all calculated separately ^That deposits is, DEPS, under are not considerably, supply for the variables each DEPGRO, perfect and only demand. are the h y p o t h e s e s shown: In total deposits, each case, the corresponding class of specific to a class described above. demand dependent vari deposits. of deposits are class.^ CONCE, To substitutes, not for deposits. consideration. differ of for results deposits savings independent posits tions of variability Naturally, of regression in and SHARE the markets terms of are extent for all that these specific demand two concentration, and to products but the time also class de may in condi 7 Size deposit time to deposit for sizes The negative of the the as the of exceed loss best of areas is n o t constituent do so and only although all deposit in all value the of to of three in the variability equations the coefficient equations to same The so sizes do as variable of the do as concentration. significance variability. holding company affiliation in absolute represent greater deposits urban living PURB in about are or broken rural urban the is the Banks into gave Without variability; down nature areas same. reported. deposit are does levels. value. the performed equation is levels deposit deposits results coefficients significance characteristics population exhibit This also less time using equivalent, equations. equation. for the three when numbers considerably, error results pronounced classes. in used percent the three the variable variables appear any bank. The in for expectation significant experience standard only to the consequently vary shares dummy its of stable by deposit displays but quite significant long-run expected. all (SHARE) information, in u r b a n result results, in classes. t h e b a n k ’s m a r k e t , the is deposit the that is h i g h l y as not counter operations measured however, expected, three as demand market is comparable. coefficients larger sign coefficient Of share of Banks with are variability in different of furthermore, deposit Market The scale is conclude deposits levels deposits, addition, variability, substantially, the by thus concentration, significant differ of greater in We the rate significance most sign, by growth, greater measured equation. growth Higher in Its influenced leads and bank, class. The of the deposit is n o t and of located but their the 8 The zero joint can be judged the by rejected the h i g h at Of most of Further company growth be sought revealed model. Table The interaction deposit were its impact are able other now term classes, companies able to the indicates affiliation results ability is quite is not to as judging by satisfactory match led to an as the stability It of is expectations, company an are important two. the true effects and intercept results I with and their banks growth finding trade-off dummy deposit adopted by that considera trade-off affilation would introduced significant for affiliated with such for a way into the much and all three holding to diminish companies stability. company greater made: or experiencing with as inferences. that holding holding can be banks of a interesting variability; banks acquire some growth exhibit holding modification. in variable inferences were implies between banks greater companies highly that This this II y i e l d s and indicates dummies the to h o l d accordingly Thus, that term between reasonable growth the affiliation. supposition interaction growth. is n e g a t i v e in do problem alternative (or h o l d i n g model equal desired, general, that Tables the organization this In holding affiliated Two statistic. and stand-alone that confidence for to m a n a g e improve of are management, on variability. hand, of the which variability. form as slope of level coefficients variable deposit II p r e s e n t s comparison F omitting company if any performances this by and between only be A of as w e l l for hol d i n g the dummy misspecified long-term tions the affiliation of whose consideration model was virtually regression complex phenomenon. the variables is all criterion, a very disturbing that values goodness-of-fit explanation may hypothesis high On affiliation long-run holding deposit company the h o l d i n g high the company deposit vari variability, which 9 is the is correct, other same thing). the dummy In order holding variables, company the became a holding company second taking the v a l u e 1963, zero is n o t otherwise."* affiliated. Table HC. (K? of III and equations these level the in the is holding growth rates succeeded in ^1964 deposit was have less are the deposit as banks while improvement. the than are a holding dividing line are bank and the after zero the b a n k OLDHC those in if significant. Also, be significant While is This to the on and the the those as a that at the 5 derive sign of significant OLDHC*DEPGRO the that impact affiliates the for II b y than results implies reducing Because since rejected slightly coefficients recent NEWHC the hypothesis cannot due and Table larger in two company always classes. succeeded the completeness, coefficient variability, this for terms. The if otherwise, variables equal More equation. have zero significance, interactive and variability offered variability. the three deposit highly one into t o HC . only NEWHC class. negative, all chosen is and NEWHC deposit ^Alternatively, may of effecting growth of explanations decomposed substituting "worse" individual affiliates on perform of for company presented deposit sum these value 1964, results lack OLDHC was the dummy and NEWHC them any demand latter of always significant are of the b a n k b e c a m e none of for the on before coefficients coefficients NEWHC*DEPGRO are the coefficients percent only The if which variable taking regression III must although of one OLDHC statistics criteria.) consequence from F dummy first Both presents determine affiliate Thus in Table OLDHC, the on to old of have not coefficients construction high yet of of the measures. acquired opportunity by for holding companies diminishing in long-run later deposit periods 10 the dummy variables from NEWHC and that h olding unstable, effects is for growth along. banks more The stable, present variability rewards improving the growth/variability long-run deposit for demand deposits activities believe earlier per to dollar growth reduce the is an demand deposit advertising to be drawn however, is is abnormally destabilizing the [3] to w h a t extent of m a n a g e m e n t ? deposit indicated variability greater (greater variability to b e can be to that determinant display deposits), used control long-run important that First, trade-off? investigation advertise more of themselves. reducing Since banks tend long-run advertising: for variability deposits. cannot inference, deposit and subject the an deductions overall whose are of strong rates.^ immediately deposit what significant, acquire growth questions Results demand that not standing companies make long-run Second, or OLDHC of h i g h e r Two are one the of variability infer subject to smooth out the from their on that the of advertising expenditures can level of promotional banks influence growth path of of deposits. A can significant serve as changing. business new The firms firms identical. be in, a services holding may the company These service deposits or existing can offers are be the shifting; previous terms leaves available on which III w i t h all to HC request. path are population moving sells the to rela types its results of out, their banking defined regression upon the examine it growth conditions clients re-evaluating management in Table affiliates results firms long-run local market change, prompt and equations that area may undergoing signal it of to m a n a g e m e n t deposit Such ^Rerunning bank signal moving tionships. customer a deviation of services. include one- substantially 11 Return of deposit indication of a of long-run deposit benefits exceed increased Profit the the Portfolio planning, cost can be argument management's theories owners of of the into of and may to changed a then management invoke can that show up can in enhanced by diminishing only of returns sources long-term asset positions, of funds. short-term money over if the to m a n a g e m e n t . deposit funds available an two ways, of future as exercise one increased out seen control as of be environment. or predictability estimates of that decreasing interests firm. for firm. must Managers, the price. Given actual should the foremost their desire to managers can be expected operations While long-run wherever an this also those evaluate and variability costs. is facilitated Concomitantly, market instruments steady to variability advanced of as based given the a group stockholders are, growth quite of diminish in upon managerial and frequently or through are wealth, recognizing are likely likely, earnings variability The or m a x i m u m whether to growth and not the b o a r d performance. shareholder of is authority firm, management difficulties ideal, seek be acting among which to deposit persons be maximum obvious generate or substitute and stability. dividends, of the firm's possible. empirical deposit can operations continuously achieves criteria, long-run Stockholders, excellence management other In the directors, standard not be especially personal responsibility share it w i l l Benefits may greater of m o v i n g control path reduced. An of of stockholders performance through the degree to long-run accommodation costs. returns accurate its variability, primarily by more to successful Regardless as growth examination variability would of the require ability of extensive managements further to control researching, 12 some evidence Given of the high deposits, the on of rewards collinearity however, trade-off rate the it between return on diminished between is the of growth difficult two. stockholder variability Table equity rate of to examine IV gives and deposits the some average can be and rewards results officer presented. variability for of improving regressing salary on long- g run deposit These to net imply variability results a cogent earnings average on stockholder of model after is salary Managerial are and tax per equity in by officer. a manner not to explain Market ket summary, consistent share, the rate important drawn of the deposits, explanatory that holding deposit variability, inference ^Deposit for ponents are companies organization is which drawn deposits. quite the similar is that and no m e a n s returns. by that this intended RR is reserves. rate ad ho c influenced a behavioral a by of WAGE return model. long-run theory satisfactory growth in and In tend tends then the other thus around numbers of holding to the deposit firm. a reduced in or the by, banks deposit-related the are omitted. urban tenuous following for demand trend. equivalent), firm ma r adopted company can be built long-run company acquire, to b e model a residing addition, holding Results and all population variables. variability total deposit summarized bank's by including indicate strongly that of corporate lated (a s are Conclusions finds of at with percentage f o r m of strong paper the variability concentration growth be this is and capital results explained however, only and maanagerial equity The IV. In value stockholder divided is factors. heuristic of compensation, variability other areas, affiliation are conclusion can holding banks company with high affiliation. The are managed variables and the time in are deposit such calcu com 13 a way as to negative not reduce conclusion influence Some sketchy was to performance, run deposit also drawn of that instability on deposit indicates size, in a of salary. firm which deposit measured long-run Although a has The deposits, reducing does long-run profitability significant This growth. context. for bank by result, inducement inverse rather to deposit appears un relationship consistent stresses, s t a b i l i t y that management variability. as variability, officer the impact the m o t i v a t i o n presented. average theory destabilizing evidence long-run found with managerial is deposit variability was related the with than diminish a optimum long- REFERENCES [1] Dince, Robert R. and to P r e d i c e of [2] Gramley, Lyle E. Herzig-Marx, "Deposit Kaufman, . George G. Finance 1972) [5] Murphy Neil pp. B. (March [6] Struble, of [7] 1 for Bank at Demand of Banks. 1972), Individual Reserve Bank pp. 54-62. Banks." of Essays Kansas Deposits. Analysis "Journal City, Staff on 1962. Memoranda Chicago. Variability Financial Commercial ______________________. No. Discriminant Commercial and Bank A n a l y s i s , Vol. Size." VII Journal No. 5 of (December 2087-2096. F r e d e r i c k M. at Reserve Quantitative 1968), Federal of (Spring "A Cross-Section Journal Use 3, Federal "Deposit and "The of Advertising Federal C. Adequacy Instability Banking. Chayim. 76-2 [4] James Capital B a n k R e s e a r c h , Vol. Commercial [3] Fortson, the pp. Analysis and Demand Deposit Variability." A n a l y s i s , Vol. Ill No. 1 87-95. and Wilkerson, Banks." Carroll Monthly Reserve Bank of "Bank Size and (November-December of Quantitative Kansas 1967), H. Review "Deposit Variability (July-August 1967), City. Deposit Federal Variability." Reserve Bank Monthly of Kansas Review City. TABLE I DEPS Total Deposits Demand Time Deposits Deposits -.0001 -.0006 (.0003) (.0006) .0792*** DEPGRO CONCE SHARE HC .0811*** (.0073) (.0062) -.0190** -.0402*** -.0265** (.0108) (.0121) (.0141) -.0022 -.0060** -.0105** (.0030) (.0031) (.0047) -.0912 -.0348 -.1487 (.0989) (.1099) (.1353) -.0003 .0039* (.0021) (.0020) (.0029) .5008** -.3943 ’1 ’ .0729*** (.0056) .0034** PURB .0 0 0 6 (.0007) -.2130 (.2187) (.2233) (.3072) R2 .605 .508 .538 B? .592 .491 .523 39.4 26.6 30.0 F ^Denotes significance at 10 **Denotes significance at 5 percent probability level. ***Denotes significance at 1 percent probability level. percent probability level. TABLE II DEPS Total Deposits Demand Time Deposits Deposits -.0001 -.0006 (.0003) (.0005) .0878*** .0848*** DEPGRO CONCE SHARE HC*DEPGR0 (.0076) (.0063) -.0222** -.0428*** -.0286** (.0105) (.0119) (.0137) -.0030 -.0066** -.0112*** (.0029) (.0031) (.0045) .2441* (.1541) (.2888) -.0556*** -.0502*** -.0610*** (.0166) (.0198) (.0192) -.0001 .0041* (.0021) (.0020) -.4162** '1' .6680*** (.1822) .0035** PURB .0786*** (.0057) .4276** HC .0006 (.0007) (.0028) .4799** -.2789 (.2151) (.2164) (.2992) R2 .631 .527 .566 R2 .617 .508 .549 F 37.7 24.5 28.7 ^Denotes significance at 10 p e r c e n t **Denotes significance at 5 percent probability level. ***Denotes significance at 1 percent probability level. probability level. TABLE III DEPS Total Deposits Demand Time Deposits Deposits -.0001 -.0006 (.0003) (.0005) .0879*** .0848*** DEPGRO CONCE SHARE (.0037) (.0064) -.0225** -.0424*** -.0294** (.0106) (.0120) (.0139) -.0031 -.0064** -.0116*** (.0029) (.0031) (.0047) .3554* NEWHC*DEPGR0 0LDHC*DEPGR0 .3189 .2096 .5236 (.2277) (.3969) -.0691 -.0825 -.0572 (.0596) (.0580) (.0563) -.0504*** -.0456** -.0564*** (.0186) (.0227) (.0221) .0001 .0042* (.0021) (.0020) (.0028) .4875** -.4142 '1' (.6414) (.2509) .0036** PURB .6892 (.2497) (.4514) OLDHC .0785*** (.0076) .5698 NEWHC .0006 (.0007) -.2682 (.2170) (.2182) (.3031) R2 .635 .531 .570 R2 .613 .503 .544 F 29.0 18.9 22.1 ^Denotes significance at 10 **D e r i o t e s significance at 5 percent probability level. ***Denotes significance at 1 percent probability level. percent probability level. TABLE IV Dependent Independent variable RR Variables DEPVAR WAGE -.0000 -.7292** (.0039) (.3016) -.0008 CONCE .1665*** (.0511) (.0007) LOAN/DEP .0146 -3.844* (1.902) (.0249) DEPOSITS .0072*** -.0000 (.00001) '1' R2 F Significance based (.0014) .1038 16.69 (.0155) (11.82) -.009 .248 0.64 14.1 upon two-tailed tests: ^Denotes significance at 5 percent level. **Denotes significance at 2 percent level. ***Denotes significance at 1 percent level.