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A Series of Occasional Papers in Draft Form Prepared by Members'o

COMPARING ALTERNATIVE REPLACEMENTS FOR
LAGGED RESERVES: WHY SETTLE FOR A POOR THIRD BEST?




R o b e rt D . L au re n t

83-2

Comparing Alternative Replacements for Lagged Reserves:
Why Settle for a Poor Third Best?

by

Robert D. Laurent*
Federal Reserve Bank of Chicago

*The views expressed are those of the author alone and do not represent
the views of the Federal Reserve Bank of Chicago or the Federal Reserve
System.
The author has benefited from the comments of Herb Baer, Henry Goldstein,
Bryon Higgins, Paul Kasriel, Jim Kolari, Randy Merris, Larry Mote, and Steve
Strongin.




Comparing Alternative Replacements for Lagged Reserves:
Why Settle for a Poor Third Best?
Robert D. Laurent

Much attention has recently been devoted to the effect of reserve
accounting on monetary control.

In the wake of the Fed’s announcement

of a shift to a reserve operating procedure, the deficiencies of the
present lagged reserve system for such an operating procedure have
been well publicized.

As a result, it was decided to move towards a

contemporaneous reserve accounting (CRA) system, though the precise
replacement is still unclear.

The decision to move towards CRA

however, was made in a virtual vacuum of economic research.

Those few

studies that have compared CRA against other replacements for lagged
reserves have used a somewhat complicated macro-economic approach
which has tended to mute the differences in performance between the
alternatives.

This paper argues that a more appropriate, and much

simpler, methodology for comparing reserve accounting systems uses a
micro-bank approach that can be used to show that there are vastly
superior alternatives to CRA as a means of controlling money.
This micro-bank methodology is specifically used to demonstrate
the superiority of a reverse lag accounting (RLA) system.^
Indeed, the paper argues that RLA is superior in every aspect except

The reverse lag system is presented in some detail in [4] and a
capsule description is given in the Appendix.




2

familiarity,
period.

RLA would give accurate monetary control each settlement

In addition, banks would find it much easier to operate under

RLA than CRA or the present lagged reserve system, an important
consideration since bank objections to the operational difficulties of
CRA are the principal reason why a true CRA system is not being
adopted.

Indeed, RLA would vastly simplify the operations of the

monetary authority, allowing accurate control of total reserves with
just one open market transaction each settlement period.

The paper

argues further that under RLA, unlike CRA, the accuracy of monetary
control is undiminished by a lowering of reserve requirements.

Thus

RLA has the additional attraction of allowing a reduction in the
reserve requirement tax without diminishing its monetary control
qualities.

This is an important advantage because the lower are

reserve requirements, the lower the tax imposed on the target monetary
aggregate, and the greater the integrity of the target aggregate
against money substitutes and market innovations.
Demand for Money
There are relatively few studies explicitly devoted to comparing
the monetary control properties of different reserve accounting
systems that could replace lagged reserves.

To the author’s knowledge

all but one of these studies use a macro approach, that in most cases,
includes the demand for deposits by the public.

2

At first glance it

seems only reasonable to use the demand for deposits in doing an
analysis of monetary control.

After all, economists traditionally

consider both supply and demand in analyzing the quantity of a good or
service.

However, if the supply function for money could be made

2
See [1], [2], [3].




The exception is [6].

3

completely inelastic, then it alone would determine the money stock.
In this case, demand conditions could be ignored since they simply
determine the price necessary to allocate the fixed quantity supplied.
Could a completely inelastic supply function be created for money?
The fact that the monetary authority has a monopoly over the creation
of reserves is conducive to such a supply function; it means that a
completely inelastic supply of reserves might be accurately set.
Reserve requirements connect reserves and the money stock.

If

all reserves were always used to satisfy reserve requirements then an
inelastic supply of reserves would translate directly into an inelas­
tic money supply.

The problem is that banks may hold more reserves

than are necessary to meet reserve requirements based on their de­
posits.

Uncertainty as to the level of these excess reserves is the

fundamental problem in translating accurate control over reserves into
accurate control over money.

A system that eliminates excess reserves

is capable of accurately setting the money stock, regardless of the
demand for money.^
There are indications that one could ignore such macroeconomic
considerations as the demand for money in evaluating the monetary
control properties of different reserve computation systems.

First,

the standard textbook exposition of the money multiplier process
proceeds through a sequence of banks expanding or contracting the
money supply by buying or selling assets until required reserves equal
the level of reserves supplied with never a mention of the demand

3

In theory, accurate control could be achieved even with a large
level of excess reserves, as long as it was predictable. In practice,
at least to the author1s knowledge, every very accurate system of
monetary control utilizes a zero, or near zero, level of excess
reserves.




4

for money.

The only apparent demand side condition required is that

there be interest rates at which the public is willing to accept or
provide additional credit.
reserve requirements.

A second indication is provided by 100%

Since at least the 1930’s, economists have

known that a 100% reserve requirement system could accurately control
the money stock, and yet the demand for money was never considered in
the analysis.

The reason is that one can almost intuitively see that

100% reserve requirements is a system in which excess reserves are
eliminated.
Excess Reserves
Excess reserves have generally declined in the period since 1940
until they now stand at a very low level historically.

In addition, a

monetary policy directed in part to smoothing the federal funds rate,
as policy has, must involve the avoidance of fluctuations in excess
reserves.

Thus historically, the level of excess reserves has been

both small and non-volatile.

As a consequence, economists sometimes

consider excess reserves to be unimportant and for many purposes
completely ignore this magnitude.

Excess reserves, however, would

play a very different and much larger role under a monetary control
process implemented through control over total reserves.

Under such a

process the monetary authority initiates policy by producing
disturbances to the banking system’s excess reserves without concern
for the effects on the federal funds rate.

4

It is the reaction of

banks as they collectively exchange assets with the public

4
It’s worth recalling that neither CRA (the accounting system
before September 1968 was actually a 1 day lag) nor a total reserves
operating procedure has ever characterized monetary policy in the U.S.
An analysis of the comparative qualities of CRA and RLA must,
therefore, be completely based on a theoretical analysis.




5

in response to changes in the federal funds rate arising from changes
in excess reserves that produces the changes in money which affect the
aggregate level of required reserves and excess reserves.

The process

by which the banking system adjusts the level of required reserves
(and excess reserves following a change in reserves) is the key
process in monetary control through reserves.
The analysis of the monetary control qualities of different
reserve accounting systems, involving as it does the question of the
excess reserve holdings of the system, leads inexorably to an analysis
of the ndemand for excess reserves".

The "demand for excess reserves"

is the name given to the relationship between the excess reserve
holdings of the banking system and the interest rate charged on the
overnight use of reserves (federal funds rate).

The accuracy of

monetary control through reserves is advanced by any change which
stabilizes the demand for excess reserves.

Ideally for monetary

control, the demand for excess reserves would be identically zero, so
that excess reserve holdings would be zero.^

The major impact of any

reserve accounting system on monetary control through total reserves
is determined by how it affects the demand for excess reserves.
The demand for excess reserves differs from the typical demand
function in one very important aspect.

Ordinarily, the demand for a

good or service is based on the assumption that more is preferred to
less.

In the case of excess reserves, banks actually prefer less to

more.

Excess reserves represent resources on which banks earn no

return and on which an alternative return in foregone.

So why donft

At least for any federal funds rate above some very low level at
which the return does not cover transactions costs.




6

banks completely eliminate excess reserves?

The problem is that banks

are not sure ex-ante how to achieve zero excess reserves ex-post.

One

might think of reserves as insurance and excess reserves as unused
insurance.

It is the ex-ante uncertainty as to future events that can

lead to the ex-post holding of insurance against an event that did not
occur.

If follows then, that one can allow banks to eliminate excess

reserves (unused insurance) if one can let banks know what future
disturbances to excess reserves (event insured against) will occur.
Unexpected disturbances produce excess reserve holdings because
the possibility of unexpected future disturbances to excess reserve
positions and the existence of transactions costs mean that it is not
always optimal for a bank to adjust excess reserves to zero with the
obtaining of new information.

Profit maximization might dictate that

a bank adjust only to that part of a disturbance to its excess reserve
position which it is reasonably certain will not be reversed in the
remaining portion of the settlement week.

It follows then that the

elimination of unexpected disturbances to a bank’s excess reserve
position will eliminate the bank’s demand for excess reserves.
Consider a hypothetical example.

Suppose one could tell a bank at the

beginning of the settlement week that the net effect of all the
unexpected outside disturbances to the bank’s excess reserve position
over the remainder of the week would have the effect of leaving the
bank with some daily average figure (say $300,000) in excess reserves.
The bank would probably take immediate steps to eliminate these excess




7

reserves, and most certainly plan to reduce its reserve holdings by
that exact amount ($300,00) per day over the settlement period.^

The

elimination of the unexpected disturbances to the bank’s excess
reserve position allows the bank to eliminate excess reserves.
The Criterion
The analysis above indicates that excess reserve holdings are
positively related to the aggregate amount of unexpected disturbances
to individual banks’ excess reserves.

This immediately suggests a

criterion for comparing the monetary control properties of different
reserve accounting systems.

Given the same degree of control over

reserves by the monetary authority and the same configuration of
reserve requirements on different types of deposits,^ that system is
best which reduces aggregate excess reserves to the lowest level.

The

analysis above suggests that, other things being equal, that reserve
accounting system is best which minimizes unexpected disturbances to a
bank’s excess reserve position.
This criterion suggests a methodology for comparing the monetary
control properties of different reserve accounting systems which
depends on an analysis of the bank at the micro level.

It involves

The preference for immediate adjustment arises from the
existence of transactions costs. The bank would only delay adjustment
until later in the week if its expected future interest rates were far
enough above the implicit rates in the term structure of market
interest rates to overcome the increased transactions costs.
^In fact, it will be argued later in the paper that RLA is also
better both at controlling reserves and in allowing a superior (i.e.
lower) configuration of reserve requirements.




8

comparing the unexpected disturbances to a bank’s excess reserve
position under different reserve accounting systems.

The criterion

immediately shows why 100% reserve requirements under CRA are such a
good monetary control system.

Under 100% reserves, deposit changes on

a bank’s books change both reserves and required reserves by the same
amount, leaving excess reserves unchanged and inducing banks to
greatly reduce or eliminate their excess reserve holdings.

The

criterion also shows why under CRA, other things being equal, higher
reserve requirements give better monetary control.

The higher are

reserve requirements the smaller are the disturbances to excess
reserves arising out of a given deposit shift.
The criterion also shows that there are reserve accounting
systems which are vastly superior to CRA.

One of those systems is

g
RLA.

It might seem that comparing RLA to CRA would be complicated,

requiring estimation and comparison of various advantages and
disadvantages of the two systems.

However, the comparison is

simplified by the fact that RLA is superior to CRA in every
circumstance.

This superiority can be demonstrated by examining two

groups of mutually exclusive and completely exhaustive disturbances.
The first group is that in which deposits are merely exchanged by the

g
Another is the 100% marginal reserve requirement system proposed
by Poole [7]. Indeed, with regard to the reduction in disturbances to
excess reserves considered here, 100% marginal reserve requirements
and RLA are absolutely identical. Using the criterion developed in
this paper, a 100% marginal reserve requirements system is also vastly
superior to CRA. Perhaps one should not be too surprised at the
inferiority of CRA. The other systems are designed to control money,
whereas CRA was originally designed to increase bank liquidity.




9

public and the only other impact on banks is a shift of non-earning
assets (reserves).

The second group of disturbances is that in which

the level of deposits in the banking system changes because a bank
either implicitly or explicitly exchanges earning assets with the
public.
The Comparison
The superiority of CRA is based on the following demonstration.
First, it is shown that the great majority of disturbances that occur
under CRA are totally eliminated under RLA.

The small minority of

disturbances which remain are common to both RLA and CRA.

Those

remaining disturbances which affect banks under both systems could be
reduced and perhaps eliminated, under RLA, by further changes.

But

even without these further changes, adjustment to these remaining
disturbances would be easier, for banks and the banking system, under
RLA than under CRA.

In addition, it is shown that under RLA the

monetary authority could accurately set reserves with one transaction
a settlement period.

Finally, it is shown that as reserve

requirements are lowered the monetary control characteristics of RLA
are unchanged while those of CRA deteriorate.
Far the greatest share of unexpected disturbances to a bank's
excess reserve position under CRA arises from deposit transfers
between members of the public.

Such transactions increase excess

reserves at the bank of the recipient and decrease excess reserves at
the bank of the payer.

Under RLA, bank excess reserves would be in-

sulated from all transfers of funds between non-bank parties.

9
A demonstration that RLA insulates banks from outside
disturbances is given in the Appendix.




9

10

At one fell swoop, this eliminates the vast majority of unexpected
disturbances to a bank’s excess reserve position and establishes, by
itself, the superiority of RLA.*^
The remaining disturbances to a bank1s excess reserve positions
are those which involve changes in deposits in the banking system
because earning assets are, implicitly or explicitly, exchanged
between the public and a bank.

These disturbances affect banks under

both CRA and RLA and can either increase excess reserves (e.g. loan
prepayments, repurchases) or decrease excess reserves (e.g.
overdrafts, take down of loan committments).

Only disturbances which

are both unexpected and uncontrollable would be problems in the sense
of possibly leading banks to hold excess reserves.

Thus, changes in

security holdings by banks would be no problem since banks have
control over these changes.

Problems arise with unexpected and

uncontrollable changes in loans.
There are additional changes which could eliminate the major
sources of these disturbances (i.e. overdrafts and repurchases).

For

example, imposing reserve requirements on unused overdraft lines would
eliminate overdraft disturbances under RLA.

Indeed, any instrument

that allows bank customers to immediately and unilaterally transfer
funds and increase deposits, as overdraft lines do, could justifiably
qualify as a candidate for reserve requirements.**

This change is

*^A very conservative estimate using figures for debits, loans,
and overnight repurchases is that RLA would eliminate at least 88% of
the volume of unexpected disturbances to banks.
**The proposal of putting reserve requirements on overdraft lines
raises important questions of whether money should be considered as a
means of readily performing transactions or as a measure of liquid
assets. Overdraft lines clearly force one to discriminate between
these two approaches.




11

particularly attractive under RLA where reserve requirements could be
set at a very low level (e.g. [5] argues for reserve requirements of
approximately 1/3 of 1%).

One solution for disturbances from

repurchases utilizes the fact that repurchases basically arise from
ceilings placed on interest rates payable on deposits, particularly
corporate transaction deposits.

The elimination of all interest rate

ceilings and the sharp reduction of reserve requirements possible
under RLA, would seem to eliminate the need for repurchases.

The

volume of disturbances from unexpected loan pre-payments would seem to
be minor, but if it led banks to hold unacceptable levels of excess
reserves, it’s possible that further changes could eliminate even this
minor source of unexpected disturbances to excess reserves.
It should be emphasized that the superiority of RLA to CRA does
not depend on placing reserve requirements on unused overdraft lines
or eliminating interest rate ceilings.

These changes are only

material for the issue of how close to zero excess reserves will be
under RLA.

Even if these changes are not made, RLA will be

unambiguously superior to CRA.

This superiority rest on the already

noted fact that unexpected disturbances to excess reserves under RLA
are a small subset of unexpected disturbances under CRA.

In addition,

it will be shown that adjustment to the disturbances common to both
RLA and CRA will be easier, for banks and the banking system, under
RLA.

It will also be shown the monetary authority can, under RLA,

accurately control reserves with one open market transaction a
settlement period and that the monetary control properties of RLA,
unlike those of CRA, do not deteriorate as reserve requirements




12

are lowered.

Finally, it will be argued that the bank operations

required to assure satisfaction of reserve requirements will be much
easier under RLA than under CRA.
The Adjustment Process
Under CRA the individual bank basically accepts deposits as given
and views the problem of managing its reserve position as one of
adjusting reserves to match required reserves.

A bank with fewer

reserves than required reserves views its situation as one of being
deficient reserves, not as having excess deposits.

A bank in the

reverse position views itself as having excess reserves, not insuffi­
cient deposits.

Yet, clearly for the banking system as a whole, the

situation is exactly the reverse.

The banking system as a whole

cannot change reserves and must come to equilibrium through deposit
changes.

One problem with CRA is that it produces a very contorted

mechanism of banking system adjustment.

In effect, the equilibrating

deposit changes occur as a side effect to the individual bank’s
attempts to move reserves into balance with required reserves.
Consider a situation under CRA where all the banks in the banking
system are in equilibrium with reserve requirements of 10% when a bank
customer decides to run $100 in repurchases.

Though deposits have

fallen $100, the affected bank sees its new situation as one of having
$10 in excess reserves.

It, (or after a federal funds transaction,

some other bank) adjusts by purchasing $10 in earning assets from the
public.
reserves.




This leaves an as yet undetermined bank with $9 in excess
This next bank will adjust by purchasing $9 in earning

13

assets and the process continues through an infinite series of adjust­
ments of declining magnitude until deposits have increased enough to
equate required reserves to reserves again.

The adjustment process is

spread out over time and banks before CRA achieves equilibrium.
Consider the same situation under RLA.

The affected bank sees

its situation as either one of holding $10 too much in reserves in the
relevant preceding period or as holding $100 too little in earning
assets in the current period.

The affected bank, (or some other banks

if reserves held in the previous week are exchanged) knows immediately
that $100 in earning assets must be purchased in the current week to
move the system to equilibrium.

That purchase of $100 in earning

assets immediately moves the adjusting banks to equilibrium without
disturbing any other bank.

12

Of course, reserves are redistributed

through the system in an unpredictable way as a result of the
adjustment, but that is only of concern for the satisfaction of
reserve requirements in some future week when banks would know their
reserve holdings and reserve needs with accuracy, and reserve
positions could be adjusted without fear of disturbance.
Level of Reserve Requirements
RLA and CRA also differ in their response to changes in the level
of reserve requirements.

Under CRA, lowering reserve requirements

weakens monetary control while lowering reserve requirements leaves
monetary control unaffected under RLA.
To see the reason for these differences, consider the effects of
a potential $100 overdraft under the two systems.

Under CRA this

For a demonstration that earning asset purchases will move the
adjusting banks to equilibrium without disturbing other banks see the
Appendix.




14

would result in a fall of $100 in excess reserves at the affected
bank.

A bank worried about this possibility would hold the same

dollar level of excess reserves, no matter what the level of reserve
requirements.

The same dollar levels and dollar fluctuations in

excess reserves disturb the money stock more, the lower are reserve
requirements, for they represent larger and more volatile percentage
holdings of excess reserves.
Under RLA, the impact of the unexpected $100 overdraft is to
raise required reserves just as though the bank’s demand deposits
increased by $100.

A bank worried about this possibility would hold

the same amount of earning assets and therefore produce the same level
of required reserves, no matter what the level of reserve
requirements.

The cushion provided against such disturbances is the

difference between required reserves (which the bank affects by its
asset holdings in the current week) and reserves in the relevant
preceding week.

For example, if a bank thought it optimal to be able

to fully offset an $80 increase in required reserves, it would hold
$80 less in earning assets than it could support on the basis of its
reserves in the preceding week - irrespective of the level of reserve
requirements.

This would produce the same money stock no matter how

low the level of reserve requirements.

The reason why the monetary

control properties of RLA are invariant to the level of reserve
requirements is that any outside disturbances that might occur do not
affect the reserve measure that matters (reserves in some previous
week) for the satisfaction of reserve requirements in the current
week.




15

This invariance of monetary control to changes in reserve re­
quirements is a very important characteristic of RLA.

It allows the

monetary authority accurate monetary control no matter how low the
level of reserve requirements.

This is important because the problem

of defining money appears to stem from market innovations motivated by
a desire to avoid interest rate ceilings and the reserve requirement
tax.

The elimination of interest constraints on deposits

(Regulation Q) and a sharp lowering of reserve requirements under RLA
could then eliminate the problem of defining money while still
providing accurate weekly control over money.

Indeed, in many ways

the real problem of a monetary policy directed to the money stock, is
not the problem of controlling the money stock accurately.

As noted

earlier, economists have known, since at least the l^SO’s, that 100%
reserve requirements will provide such control.

The real problem is

how to control money accurately while not destroying the integrity of
the monetary aggregate.

RLA, by allowing accurate monetary control at

very low levels of reserve requirements can solve this fundamental
problem.^
Aggregation
This paper has, up to now, concentrated on a micro-level analysis
of RLA to the complete neglect of macro-level analysis.

However, itfs

clear that the micro-behavior of the individual bank must be
consistent with macro-equilibrium for the banking system.

A

description of how individual bank behavior aggregates into banking
system equilibrium is helpful in understanding the operation of RLA.

A more extensive discussion of how RLA can solve this problem
is presented in [5].




16

Under RLA, each bank begins the period by comparing its average level
of reserves in some earlier settlement period with the level of
required reserves against its deposits at the end of the preceding
settlement period.

This comparison immediately tells the bank exactly

wbat changes in earning assets (or equivalently the demand deposits to
be created or destroyed) are required to just match required reserves
to its previous level of reserves.

After making this comparison, the

individual bank has a choice in how it adjusts.

It can either make

the asset adjustment in the current settlement period or adjust its
reserve holdings in the earlier settlement week.

For the banking

system as a whole however, adjustment must occur through changes in
earning assets.

If for example, the banking system has more reserves

in the earlier settlement week than its required reserves entering the
current week, then there will be downward pressure on the cost of
reserves in the earlier week.

The rate for reserves in the previous

week falls until some banks find it attractive relative to the rate
that could be earned on earning assets in the current week.

The

required net addition to earning asset holdings is allocated through
the holdings of previous reserves, so that each bank will know and
choose its contribution to the required changes in deposits in the
current week.
Notice that the market in the previous week’s reserves means that
the monetary authority can, with one transaction, accurately set the
level of reserves, even alongside the existence of Fed float and
fluctuations in treasury deposits.

The monetary authority simply lets

disturbances occur, and then after observing the net effects, performs
one open market operation in the previous week’s reserve market to
precisely set the aggregate level of reserves.




17

Banks would change their behavior in one very important respect
under RLA.

The focus of a bank1s attention and monitoring in order to

assure satisfaction of reserve requirements would be shifted from
reserves and deposits to earning assets.

Under RLA, only changes in a

bankfs earning assets, could affect its excess reserves.

Under CRA,

changes in deposits and reserves as well as changes in earning assets,
could affect itfs excess reserves.

RLA greatly simplifies bank

operations since itfs intrinsically much easier for a bank to
anticipate, control or offset changes in its earning assets than
changes in earning assets plus changes in its reserves and deposits.
Conclusion
This paper compares a reverse lag reserve accounting (RLA) system
to contemporaneous reserve accounting (CRA) and argues that RLA is
vastly superior.

In contrast to the few other studies which have

compared the monetary control properties of reserve accounting systems
through a macro-analysis of the banking system, this paper uses a
micro-bank approach.

The paper argues that the micro-bank approach is

more appropriate because it allows one to analyze differences in the
demand for excess reserves resulting from changes in the reserve
accounting system.

Itfs further argued that the comparison between

reserve accounting systems simplifies into a comparison of the
unexpected disturbances to a bankTs excess reserve position.

It's

demonstrated that RLA would vastly reduce, if not totally eliminate,
unexpected disturbances to a bankTs excess reserves.

By sharply

reducing the level and variability of excess reserves, the adoption of




18

RLA produces a much superior system of monetary control as compared to
CRA.

Simultaneously, RLA would virtually eliminate current bank

operational problems in managing their reserve positions.

Aside from

its advantage of sharply reducing unexpected disturbances to bank
excess reserve positions, RLA has other advantages over CRA.

It

allows a smoother and quicker adjustment to equilibrium if
disturbances do occur, and its monetary control properties do not
deteriorate with a lowering of reserve requirements.

RLA also allows

the monetary authority to accurately control total reserves with one
open market operation a settlement period.

The analysis in this paper

argues that CRA is at best, a third best reserve computation system and a very poor third at that.




19

APPENDIX

The key operational aspect of reverse lag accounting (RLA) is
that a bankfs required reserves within the settlement week are
affected only by those deposit changes in the system produced by the
bank itself within the settlement week.

This appendix demonstrates

how RLA operates to produce this result.

RLA involves four changes:

1)

A bank satisfies reserves requirements if its required
reserves on deposits in the current week are less than
or equal to reserves in some previous week.

2)

Changes in a bankTs reserves that arise from deposit
changes (e.g., from check clearings or wire transfers)
would be called reserve clearings at the Fed (RCF). In
computing required reserves, a bankfs RCF so far in the
settlement week would be subtracted from demand
deposits.

3)

All deposit changes within the week would be treated as
demand deposits for reserve requirement purposes.

4)

Current vault cash would be subtracted from demand
deposits in computing daily required reserves.

The demonstration involves two parts.

First, it is shown

that the deposit changes in the banking system produced by a bank
within the week impact on its own required reserves.

Second, it

is shown that outside factors which affect deposits at the bank
within the week will not affect its required reserves.

In

effect, a bankfs required reserves in the current week are equal
to its required reserves at the end of the preceding week plus
the reserve requirement against demand deposits times the average
net change in its earning assets in the current week.




20

A bank changes deposits in the banking system by buying or
selling assets in exchange for a check.

Buying assets increases

deposits while selling assets reduces deposits.

Consider a bank

which, on the basis of last week's reserves and its level of
deposits entering the current week, could hold $100 more in
demand deposits in the current week.

The bank knows that it can

purchase $100 in assets in the current week.

As soon as the bank

writes the check, its required reserves increase as though its
demand deposits were $100 higher, moving the bank to equilibrium.
If the check is deposited in a checking account at the bank
itself then the bank clearly remains in equilibrium.

Even if the

check is deposited in a time or savings deposit, the bank remains
in equilibrium since the additional deposits have the same effect
as demand deposits on required reserves within the week.

Suppose

that the recipient of the check brings it to the bank to cash for
currency.

In this case the bank pays out vault cash.

Because

vault cash is subtracted from demand deposits in computing
required reserves, the bank's required reserves are still affected as
though demand deposits increased $100.
The bank cannot be sure that the check will come directly back to
it.

Instead the check could be deposited at another bank and cleared

through the Federal Reserve.

In this case, the clearing will create a

-$100 reserve clearing at the Fed (RCF) which will, since it is
subtracted from demand deposits, have the same effect as a $100
increase in demand deposits.

Alternatively, the check could be

cleared through a correspondent bank.

In this case, the effect will

be to reduce the issuing bank's ,due from" balances by $100, which has
?
the same impact on required reserves as a $100 increase in demand
deposits.



21

This example demonstrates how RLA insures that the changes a bank
produces in aggregate deposits impact on its own required reserves.
The sale of assets by the bank would have the opposite impact through
the same channels.
The second part of the demonstration is to show that deposit
changes produced within the week by outside factors will not affect
the bank’s required reserves.

It follows from the rules of accounting

that a deposit change produced by outside factors does not occur in
isolation; something else on the balance sheet must also change.

RLA

utilizes this fact to offset outside disturbances to a bank’s required
reserves.
Suppose that deposits increase as a result of a shift out of
another deposit account at the same bank.

Since all changes in

deposits within the week are treated as demand deposits, this has no
effect on required reserves.

If the deposit increase occurs as a

result of an inflow of currency, then the increase in vault cash will
offset the increase in deposits.

Note that it makes no difference

what type of deposits increase, since all are treated as demand
deposits for reserve requirement purposes within the week.
Another possibility is that the deposit increase occurs as the
result of a check written on a different bank being deposited at the
bank.

Notice again that, regardless of which type of deposits increa­

ses, the deposit will initially be offset by the check which repre­
sents a cash item in the process of collection.

If the check is

cleared at the Federal Reserve, the bank will have a positive Reserve




22

Clearing at the Fed, (RCF) which replaces the cash item in the process
of collection in offsetting the effect of the deposit increase on
required reserves.

If the check is cleared through a correspondent

bank the effect will be to increase the bank’s "due from" deposits at
the correspondent bank.

Under present reserve accounting as well as

under the reverse lag, "due from" deposits are subtracted from demand
deposits so that required reserves do not change.
These examples demonstrate how the reverse lag would insulate a
bank from the impact of deposit changes produced by outside factors.
The same devices would work in the opposite direction in the case of a
deposit outflow.




23

References

[1]

Horiuchi, Akiyoshi and Seiji Oguri. "Money Market Stability under
Alternative Reserve Requirement Rules"• Discussion Paper Series
No. 59. Institute of Economic Research, Hitotsubashi University,
March, 1982.

[2]

Judd, John P. and John L. Scadding. "Short Run Monetary Control
under Alternative Reserve Accounting Rules." Economic Review
Supplement, Federal Reserve Bank of San Francisco, (Summer,
1980).

[3]

Kopecky, Kenneth. "Short-Run Monetary Control Under the Reverse
Lag." Board of Governors of the Federal Reserve System,
manuscript, July, 1982.

[4]

Laurent, Robert D. "Reserve Requirements - Are They Lagged in the
Wrong Direction?" Journal of Money, Credit and Banking, 11
(August 1979), 301-10.

[5]

________________________ "Reserve Requirements, Deposit Insurance
and Monetary Control." Journal of Money, Credit and Banking, 13
(August 1981), 314-24.

[6]

Lindsey, David E., and Thomas D. Simpson "An Analysis of Reserve
Requirement Proposals" Unpublished manuscript. Washington D.C.:
Board of Governors of the Federal Reserve System, April 16, 1980.

[7]

Poole, William. "A Proposal for Reforming Bank Reserve Require­
ments in the United States." Journal of Money, Credit and
Banking, 8 (May 1976), 137-47.