Carnegie-Rochester
Conference
Series on Public
policy
26 (1987J
289-334
North-Holland
BANK DEREGULATION,CREDIT MARKETS,AND THE CONTROLOF CAPITAL GARY 6. GORTON and JOSEPH G. HAUBRICH The Wharton University
I, Public
policymakers
decisions
about
regulated
world since
help, existing if
they
there
endogenous
the
not
major
banks
players
in
related
intermediaries equalled
trillion markets
held $2.15
takes
a similarly
rich
securities
or
and money market
mutual
It in
between
banks
As
The Farmer
a preface,
consider
comments and Karl Brunner,
were
Examining
marketable
invest
greatly
0 167 - 2231/87/$03.50
assistance
Allan appreciated.
0
1987
why
of Meltrer,
Elsevier
task
of
the
Science
the
credit it
of
1983,
split to
consider
funds
or nonbank
theoretical
University Romer,
Publishers
of
B.V.
Smirlock.
(North-Holland)
over
Also,
both
$1.5
much
of
between
banks
banking and asset
allowing
banks
increased
to
competition
banks.
problem
Pennsylvania
Michael
and
commercial
consider the
banks
interactions
between without
as
corporate
held
119861).
around
exist
while
also
(Kaufman
model
both
$678 billion,
no sense to
policymakers
commercial
the
the
Dave
of
or
assisting
As of
revolves
makes
stock
First,
loans
example,
disappear
and technology,
Intermediaries
controversy
not
separately.
loans
and consumer
for
the
world.
and intermediaries.
markets.
to
markets
business
little
changes.
trillion.
regulatory
and underwriting,
Berlin,
adequate
of
a model
and
make highly
simultaneously
would
develops
banks
to
been
have
of preferences
and regulatory
financial
in mortgages current
of
level
having existing
have
banks
paper
occurrence at the
of the
which
which
This
and capital
the
models
and in
unregulated. is
task only
Economists
no
markets
a model
treat
reference.
currently
technological
equity the
of
model
Realistically, must
with
simultaneous
Since
can consider
unenviable
capital
completely and
markets.
are
and
were
the
deregulation
as a point
banks
Pennsylvania
INTRODUCTION
face
banking
School
of
is
Macro and,
not
Lunch
trivial.
Group,
especially.
Mitch Roger
Other
markets
hand
not
out
that
in
fund.
In
and
do not
need
a sufficient a frictionless
effect,
even
problem
of
the
invisible Relying
on
sense
theory [1984]),
an
banks
modern
and
and
essay
because
they
provide
indirect by
structures
behavior more
Allen the
the
way,
direct
bank bank
costly of
control results
of
regulations
are
and
takeover the
bids control
structures
includes 119821,
bonding
or
Leland
and
compatible
return
intermediaries
control
sit We
related
exist Markets
reward
Lenders
from
banks
capital.
covenants.
which
money, is
and
on both
on boards, show
and how the
a simultaneous
how, total
decision
control.
banks,
as inside
This
agents.
for
solutions
much of
incentive
of
economy
of
and Hart
Banks
set
corner
designing
firm.
119801). action
and indirect
regulation
requirements,
the
need focused
and
meetings
[Grossman
the
119821,
119851.
[19851), of
echoes
involves
markets
control
setting
forms
the
liabilities
circulate
Most
two of
of
form
from
enforce
and these
the
generally,
[1973],
of
Stiglitz
ratio
by limiting
inadequacy both
King
Hart
has
problems
and Stiglitz
and
the
literature
stockholder
(see
create
of
capital. banking
and
agency
which
theories
control
asymmetries,
the
aspects
takes
or
involving
When
adequacy"
holders
structure
We consider
question
Haubrich
costs
The
in
and
(Grossman
to
banks.
Because
debt-equity
technologically,
panics.
asymmetries-us to
developed
(19831,
agency But
management
projects,
financial
direct
the market
information-based
information
by Fama 119851
the
(Ross
modern
solution
complementary
acceptable
directly
problem
panics,
reducing
force
aggregate
theory
a model
control.
[1977]),
to
full
emphasized develops
via
approve
mutual
Thus,
also
Dybvig
where
like
equity
induce
signalling
and
due
the
constrain
exercised
of
incentives.
provide
imperfectly
more
points
banking
holds,
has
both
structure
119761)
while
been
This
Pyle
arise
institutions
has recently
that
invisible
other
information
but
to
Diamond
managerial solutions,
markets
any
triviality.
costs,
message
capital
Meckling
appropriate corner
also
literature
serve
underlying [19841,
where of
Jensen
a
like banks,
theorem
the
which
(Diamond
message
eliminates
institutions
imperfections,
institutions
that
world
agency
financial
look
the
Fama I19801
hand.
financial In
for
would
to
is
market?
banks
firms
and
need
so why
credit
Modigliani-Miller
imperfections--transaction the
the
world,
The
structure
create
regulation,
for
an Arrow-Debreu
money.
capital
extensive
regulator
are
there
motivated such
as
prohibitions
is out
the
the of
capital
possibility fear
of
Glass-Steagal
against 290
controlling
interstate
of banking Act,
in banking panics. "capital
branching,
a
prohibitions
against
technological
change
of
banking
panics
disappear. Regulation, causing
the the
varying
show occurs, can
cause
the
need
for
further
Glass-Steagal premia,
II. In
are
would
problems
they
were
in
of
regulation
to
is
and
still
needed. is,
prevent,
in
turn
had
regulations,
required.
a
bank
insurance
optimal
also
That
deposit
if
place,
is
meant
Thus,
that
possibility should
regulation.
Discussions that
is
regulation
for
regulation.
characterized
have
to
if
which
they
were that
cannot
agent-managers
resources
are
decisions, managing if
not
the
to like
We show
their
that
efficient.
the
then
the the
the
not
who
managerinvestors
A large
are
Instead,
managers
decisions
own projects? debt,
and control, of
know that
the
contracts
riskless
ownership control
investors i.e.,
complete
offer
of
to
How do the
efficient
shows
agent-managers
by a separation
entrust
projects.
making
make
exists
regulation
the
misguided.
investment
agents
regulation
when need
show
bank
case, that
We then
In this appears
on.
occurs,
AGENCYPROBLEMSAND THE ROLEOF MONITORING
will
oversee
so
capital
the
presume
an economy
investors
it
Act.
may be completely
and
of
that
cause
can
FOIC
this
we
itself,
regulations
banks,
control
can disappear.
But shift
technological
follow
nonbank in the
literature
possible,
decisions
and
if
made by the
decisions
are
"second-
best." Second-best distortions claimant occurs
or
which (i.e., is
In the
investors
must
manager
second constraint.
this
is
when
by
it
is of
not
some residual
risk-neutral. and Winter
section
situation,
we will that
Our
analysis
it
is,
study where will
not
for
the
has
been
the there differ 291
agency is from
for
and Weiss
to
case,
of
the
studied
a binding
manager in
manager this
this insure
the
In
problem the
completely
situation
and Kahn and Scheinkman
of
residual
Holmstrom
in some states case
sole
in which
optimal
second
liability.
claim
because
the
cannot
[19791, is
feasible
This [19851,
and
The
limited
not
One situation
Holmstrom
claimant.
result
is
debt).
among others,
because
solutions
manager-agent risk-averse
studied
119791, is
hold is
Farmer In
manager
residual
occur claimant
[1983],
riskless
sole
residual the
issue
case,
to
distortions
not
this
and Shave11
be
the
the
[19851,
information
when
can
when
himself.
incomplete
occur
which
be the
world by
sole
outside even
if
Sappington
119851. which
exists
limited existing
in liability
literature,
this
however,
in
that
considered. with
market
obtain such
are
in
problem
his
the
once
agent-manager by
services
to
other
of
in our
of
marketable
setup
monitoring
this
decisions
market-principals
incentive-compatible
of the
securities
and
to
directly
of
precomnitment
the
Hart
which
[1982].
purchase
agent-manager
services.
securities it
can
control is
purpose
the
Grossman
incentive-compatibility.
Consequently, value
e.g.,
own behavior
managerial
those
design
his
to
We
monitoring
or
bonding,
in
securities.
purchase
directly
the
his
obtaining
market,
In order
constrain
through
agent-manager
serve
words,
achieve
through
the
previously a contract
incentive-compatible.
same time,
is
been
structuring
obtained,
One way of
the
can
to selling In
how
allowing
the
has not
is
credibly
is
behavior
offers
which
addition
make.
or bonding
faces
is
must
at
which
firm
financing and,
he would
differ
a solution
the
agent-manager
own interest,
anticipated
for
in a way which
a way that,
precomnitment the
allow
basic
principals
financing
in
we will
The
sold
turn
the
out
firm,
conditional
but
on the
to
Some
bonding
This
will
raise
that, they
for of
be able
the
choose
directly
change
the
outside
design
financing.
shareholders
control
direct
to
may occur
then
example,
need not
existence
will
the
firm
monitoring
do
because
not share
purchased
by the
firm. These manager
with
project
at
that
issues
are
formalized
no
initial
wealth
an indivisible
depends
world,
upon
8,
function
is
the
manager
financing
for
observable
output
the
manager.
The
wealth;
wealth
and
V(e)
security-market
‘As scale,
long there
yields
and the density
as is
the no
of
in
Farmer
his
utility
is
the
can
accomplish
production and
wealth
must
be raised
the
manager
loss
no initial
project
of Winter
project, is
X.
assumed is
are
entrepreneur-
to
invest
a gross realized
in
return, state
h(e).
of
l19851,
X in
(or
The
initial
a X,
of
the
production
risk
=
F(e,
adopting
normalization
this.
292
wealth
by selling
The residual
claims,
be risk-neutral effort
(V'
neutral,
0)
yields
the
with
and
where > 0;
so the
stochastic
formulation relabelling
less
X - S(X)
by U = W - V(e),
also
function generality
to
given
disutility
participants
explained always
e, with
an
an opportunity project
effort,
51 c R,
has
the
the
realized
The
Consider
X = 0e.l
Since C),
with
C.
manager's
e E [e.
follows.
but
cost,
the
where
as
S(X),
on
accrues
to
respect
to
W is V"
realized
> 0).
The
security
S(X)
constant that
F(e,
of
states
than
is
returns 0) of
= the
to
Be.
As world
valued
at
its
The
expected
security
written
on
observing
these the
expectations
value,
market
must
promised
by
The
realization
of
the
manager
e or
The
choice
of
securities
is,
fact,
contracts
however,
security
e(e),
market in
e so
manager,
5.
manager's
offer the
observe
variables.
on the
manager
E(S(X)).
cannot
chooses
market
however. such
in
the
cannot
be
e
has
after
rational
Consequently,
that
the
manager's
the
effort
level
self-interest
-ex
post. In
designing
choose
to
an
be monitored.
services
which
effort
guarantee
independent
of
level
of
monitoring
where
Q(0)
= O.*
and
KL > 0.
section
of the
to:
(i)
I,
(ii)
(iv) The
optimal
monitoring,
L.
management practices of
mwal
state to is
discusses
choice K(L)
contract
is
the
may
for
the
also
monitoring
some minimum variable
by
solves
manager
amount
L determines
technology
be performed monitoping
L I,be(e)
can
a monitoring costly;
the
expends
The
implicitly
cost,
a third
given
by
where
K(0)
= 0,
The
next
agent.
Q(L),
monitor. the
following
problem:
- S(e) - V(de))bWde
- K(L)
(1)
? C - S(m)
subject
e(m)
e(e)
2 Q(L)
S(e)
5 ee(e).
to:
{S(X),
of forbids as
monitoring certain
as
long
meet
scme
minimum
the
hazard:
for
example,
L},
Compatibility
Constraint)
Liability
Constraint)
is This of
both
tractability leaving
met. sort
a project
293
Similarly, of
and effort
by
can the
and a level
and a level
realism. at
accounting
monitoring chosen
S(X), S(X),
levels,
Constraint)
(Monitoring
a security, contract,
provides
restriction risks
is
the
low-effort
standard. the
(Incentive-
2 Q(L)
chooses
Constraint)
- V(e(m))l
(Limited
contract,
specification
(Financing
argmax[ee(m)
of the
.
The manager
it
manager
8.
may
contract
e E
(iii)
covenant,
manager
Monitoring
S(e)h(e)de (Ue)
*This
the
the
according
S(e;a;;e) 9 subject
is,
that the
paper
contract
That
Monitoring
The optimal
loan
incentive-compatible
also firm.
the
Literally discretion
firms apply
of
of L to
vertfy to
other
a of that types
maximize the
utility
subject
securities
cover
the
the
agent-manager's
constraint
requires
to
by the
the
market
The for
full
solution
condition
Proposition chosen
strategy in
is
cannot
can
contract
full
to
problem
the
third minimum
the
payment
we first
solve
output.
understood
if
The full
unconstrained.
contract
that
The
least
means that
information
information
of and
imply
truth.
compare.
(I)
full
value project
must
at
available
and then
the
the be
liability the
the
contract
to
be best
expected
finance
tell
states
exceed
(I)
the
to
optimal
limited
by solving
The
the
all
Finally, problem
First,
be enough
Second,
characterizes
1:
to
best effort
information
is obtained
Tucker
must
3
in any state to
constraints.
market
costs.
monitor.
solution
the
four
the
monitoring
required
to
offered
The usual
contract
occurs
information Kuhn-
as follows:
when effort,
e(e),
is
satisfy:
v, = El. This
full
with
information
the
marginal
solution
benefit
To characterize recall
that
h(e)/Cl-H(e)), distribution. the
shadow
of more
the
the
equates effort,
incomplete
hazard
rate
of
h(e)
is
r'(e)
> 0. 4
2:
The
the
in each
a
where of
marginal
the
solution
distribution
density
is
and
Also,
financing
disutility to
effort
JI
q
With
problem
defined
H(e)
define
constraint.
of
state.
information
Assume price
the
is
as
the
(I), r(e)
i
cumulative
(A - l)/~
where
this
notation
which
solves
x is we can
now state: Proposition choice
of effort
incomplete
function,
e(e),
v, = [e - l~(& e
3 Note the
is
the
rate
4The
assumption
satisfied
Weibull the
that
required
with
for
of
financing return that
a
degrees
large of
information which
is
a
solves:
implicitly
assumes,
without
loss
of
generality,
that
zero.
the
hazard
class
of
freedom
(I)
- y)l
constraint is
contract
rate density
parameter
is
increasing
functions larger
uniform.
294
is including
than
I,
the
not
particularly the
Exponential,
Normal
Distribution,
restrictive. the
It Gamma
Laplace,
and and
where
r
is
the
incentive of
shadow
price
compatibility
of
the
monitoring
condition,
constraint
imposed
(ii).
constraint
(r
is
on the
a function
e.)
Proof:
See Appendix
A.
The benefits at
the
is
clear
of
corner
solution
that
the
solution
because:
Corollary
2A:
supplied
is
highest. In
the
solution
If
less
no
than
being
if
unable has
principal.
make a fixed limited
solution
in the
to
meet
the
sole
the
output so
This
is
true
Monitoring, state.
There
are
L > 0. than
benefit
is
of
effort two
Second,
the
he would that
in
costs under
higher
agent
from
extra but the
of
except
such will
the
to
the
guarantee
production agent
promises
is turns
a higher-
Since
the
agent
share
the
marginal
most
(perhaps
low states
agent
to
to
the
make
is
market-
the
extra
highest. possibility.
the
agent
monitoring. be forced
to
a costly
conditional
and
information
the
accrues
the
of
295
full
if
he must
effort
full
financing
cannot
states. In
the
payment
even
following
required
to
outside
therefore,
for
first-best, states,
agent-
less
In bad states,
however, outsiders.
creates to
always
The
payment,
the
state
is
is
agent-manager
in higher
incentive
in every
the
instead
compared
states. fixed
market
no
however,
amount
states
is
the
state-contingent) the
claimant, with
effort
except
monitoring,
obtain
The agent,
the
state
e - @ l/r(e)
debt.
(not
lowest
resulting
there
to
riskless
optimal
effort
is
supplied
having
principal. to
then
= 0.
liability
residual
any extra
minimum when
the
return
outsiders, effort.
of
to
the
to of
market
the
agent
low
longer
all)
from
ion
informat
y = 0,
supplied
effort
results
no
world
effort
l/r(g)
offer
everything
return
the
to
than-first-best not
case
of
Because too
over
in that
full
in every
with
the
A),
the
first-best
simply
of
It
a proof.)
solution
Appendix
solution
contract
[19851 for
the
i.e.,
look ing
considered.
to
chosen,
complete
by first
typically
relative
is
state
understood
has
second-best
the
the
inferiority
solution the
under
best
literature
information as
when e = G because information
is
are
monitoring
0 > 0 (see
The
the
and Winter
incomplete behaves
Since
monitoring
which
(See Farmer
manager 8.
direct
Suppose
regardless
of
First,
K(L)
must
work
harder
in
inefficiency.
on the
monitoring,
a the
be paid some
low
But,
the
the
agent
need
not
promise,
the
agent
will
Comparing
ex ante, have
these
marginal
monitoring
level.
compared.
Using
Proposition
3:
as much of
the
incentive
to
more In
the
costs
and
Appendix
notation
the
level
to
work
the
harder
benefits
A these of
A positive
residual
market. in
determines
marginal
appendix
Hence,
those
states.
the
costs
and
choice
of
benefits
are
we have:
of monitoring
is chosen
if:
I, P2(e)@,YLh(e)de > xKL+ I, q(e)h(e)de when evaluated
at
L = 0.
Proof:
The
condition
equality
for
L >
Theorem.
See Appendix
Informally, marginal solution shadow otherwise. it
positive
Figure points monitoring the
the the
schedule full
world
results
because
outsider-market
of
monitoring (for
to
the
is
(I)
using
with Hestenes'
act
the
the
forces
to
the is
solution the
on
the
when as if
Y is
he
the
the
solution
y > 0.
would
state
the not
were
3 determines
e
whether
with
the
the loss
the
to work
Essentially,
harder
Proposition
296
reduced
previously
3
of
Without remaining, to
incomplete area
C + 6
when
the
Area
discussed. A results
he would
in first-
says
positive
A + il. than
locus
Compared the The
are as
area
in
C + 6.
work
residual, is
monitoring. loss
area
to
The
best-solution. The locus SE.
efficiency is
agent
of
two
marginal
impact
comparison.
first the
incentives
the
work
effort
relevant
solution
share
terms that
the
the
way.
E is
efficiency
In means
of
is
the
Proposition
point
agent's
e 5 e 5 e*).
chosen.
this
no monitoring
consists side
examine
now chooses
second-best
with
to
agent-manager
solution,
the
satisfied
condition
monitoring
displays to
second-best is
to
left-hand
e - $(1/r(e).
agent
origin
the is
agent
principals
monitoring,
because best
the
information
information
With
the
of
however,
the
1 graphically
from
kinked,
forcing
for
solution
the
positive
- Y) instead
is optimal
condition,
while
monitoring 2,
of
the
side
above,
concretely,
- $(1/r(e)
by
right-hand
Proposition price
transversality
implied
informative,
when in
a
A.
discussed
More
given
0,
the
costs
benefit.
is
that
monitoring
is
monitoring
the
is
effort
securities.
With
monitor.
the
"market"
The
monitor not
III, Modern
of
(A)
now
necessary the
First,
this
5The
happens
is
of
an
marketed
exercised
have
by
powers
the
which
monitor.
already
the
need
other
firm
sell
a the
shares
This
sequel
for
hand,
to
[1982]). the
individual
section
further
enriches
as before,
6
is
structure
optimal
mechanism
institutions Once it
proceeds
will
by
that
we become
along
solving
a
support
specify
a
apparent
the
few
more
that
this
solved.
specifics
=
on the
create
the
financial an
economy,
A
markets; on a social
medium-of-exchange.
119811).
Townsend
I3 >
stock
On the
Hart
exhibiting
problem
+
and
producing then
the
found
effort
economy;
economy's
of and
and
STRUCTURE
on the
C
work allows
the
individual
also
firm
solution"
(19841.
money as the
path
we present
are
of
banks
solution
agent's
assumptions
condition
sold
the
of
"interior
interior
(Grossman
model
and
both This
structure
side
many agent-entrepreneurs,
monitoring
project
sense
of
now to examination
Diamond
FOR FINANCIAL
(Harris
matches
in
public
problem,
solution
the the
design but
the
as
inside
standard
programming
of
be an outsider,
the
forcing
real
by adding
Determining the
the
in is
securities
in
also
contain
pay-off the
SOLVING
control
control
markets.
bank
on the
model
the
control, through
We turn
from
incentive-compatible with
the
of
an important
must
naturally
concentrates
with
solution First, there
to finance
value
though,
systems
monitor
directly
solution
INTERMEDIARIESAND FINANCIAL MARKETS
The costs
delegated
secondly, occurs
and financial
follows
an interior
marketed The
monitoring,
posses.
financial
intermediaries
the
But,
function,
does
the
monitoring.
securities
monitoring.
monitoring,
case,
of
some positive
Without
way.
equilibrium
implications
the
of
monitoring.
a different
the
chooses in which
In that
solution.
several
existence
on the
level.
second-best
stressing
sense
on the
level
G + B > A + B. 5
agent-manager
important
depends in
worth
the
depend
if
is a better
It which
chosen
of owns
informal
relevant.
297
the
multiagent
a project
because
the
model.
Each
of uncertain
density
of
0
of
return
and
the
the but
cost
of
FIGURE
THE OPTIMAL
CONTRACT
I
WITH MONITORING
“c?
with I
I I
SC with
(070) where:
8*3
monitoring
I
II
45O
1 =Y; r (8”) is chosen
I
8
e 3 e(~FQ(L)
if : C + B ) A +B
298
Best No Monitoring
lacks
the
number of
wealth,
of
C/n,
C, to
investors so that
relative
to
of
shocks observe
the
The
>
social
subject
to
in terms
the
outside because
frontier
for
investors'
of
problem
the
the
pay
n is
large The
capital. independent
analysis
verify
must
is with
planner
can
to
maximize
the
utility
of
that K(L)
across
macroeconomic
effort
exceeds
because
planner
seems of
This
one
utility
natural
a
cannot
results
utility
to
cast
tied
and trace
out
roles
and
in no material
the
down by
no restriction
reversing
utility
expected
principals
presents
that
Likewise,
agents'
people's
It
vary
economy.
social
to
opportunity.
given
H(e),
being,
large
an endowment
where
shocks,
constraint.
II,
Section
the
with
aggregate
time
investor
starts a project,
the
monitoring.
appropriate
utility
Thus,
each
must come from
markets
Finally,
others'
investment
problem
the
system.
of
fund
credit
for
funding investor
to
productivity
planner's
problem their
Thus,
Q(L),
extent
Each
avoids,
entire
e(e) the
Thus,
n investors
L.
This
to
minimum,
takes project
entrepreneurs.
it.
(principals). it
C and
distribution
finance
on the the
Pareto
maximizing change.
solves
s(e;(e) L I be(e) - S(e) - V(eW)bWe , ,
(11)
s-t. (i)
I S(e)h(e)de
(ii)
- K(L)
e E argmax[ee(m) m
(iii)
(iv) That
is,
s-t.
- S(m) e(m)
- V(e(m))]
2 Q(L)
Q(L)
e(e)
?
S(e)
I ee(e).
the
? C
optimal
mechanism
supports
the
optimal
contract
derived
earlier. In with
the
free-rider society formalizes
a decentralized firm,
monitoring
problem monitors this
credit
or too
costs excessive little,
market, will
where be very
monitoring or
pays
point.
299
investors high.
costs. too
much.
contract This
Without The
implies
directly either
intermediation, next
proposition
a
Proposition
4:
Direct
contracts
and entrepreneurs
cannot
Proof:
we
Suppose
corresponding (i)
than
person
with the
Suppose
one
revised
financing
which
case
payment
C/n, monitor's
level,
Then,
L*,
since
and
the
the
financing
k > 1,
fully action
fund is
on the
agent's
problem
> (1 - l/n)C
+ K(L*).
means an
that
those
investors effort
project,
however.
observable
of
to
others.
monitoring.
Then
the
becomes (ia)
other
investors
inefficiently
corresponding
the
not
level
and
since
(and
for
optimal
L > 0 which
L = 0,
since
the
- K(L)
+ L > L*
no one monitors,
S*(e).
cannot
provides
if
schedule
monitoring
investors
(II).
< C.
single constraint
L* If
occurs.
monitor,
wealth
investor
this,
to
= C.
- kK(L*)
,I-@ S(e)h(e)de In solving
between
solution
optimal
schedule,
- K(L*)
one person
Furthermore,
market)
first-best
in equilibrium,
J- S*(e)h(o)da One
the
payment
binds
J-, S*(e)h(e)de More
the
provide
optimal
constraint
(a decentralized
achieve
high do not
also
amount
of
monitor,
schedule)
monitor,
in
monitoring
an inefficient
results.
Lastly,
if
L = 0 < L*. Q.E.D.
The proof pools
of
investors'
duplication time,
6
Strictly amount
the
of
interpreting a
show,
the
constant
support,
introduce
market
fraction
we bankruptcy
the
of the
of
(S*(B),
bank
has
would S*(i)
and
to
be
namely,
for
free-rider
I.*)
the
the
for credit
be bank
does
level
that
can
an intermediary them.
of
problem.
a given
debt,
claimants.
300
get by
a
equity, Appendix technology.
link
real
markets
supported
a related problem in part of the monitoring
not
the
monitoring.
and B.
iration
At
the more In This
of
the say
It
is
Rather requires
securities
B
we a
one
8,
complicated, Appendix
same S*(e),
words,
0,
rest.
options.
the
information-
other
of
avoids
paying
form In
that
It
make credible securities 6 Note that a purely
exist.
equilibrium
securities,
pursue as
to
a bank:
projects the
will
equilibrium the
for
monitors
a bank
equilibrium
that set
and
a role
and internalizes of
speaking, of securities
however,
recognizable, this
costs
existence a credit
or
4 suggests
wealth
of
the
allowing
gets
proposition
way
the
bank
possible
to
yet
readily
than
display
explicitly
hierarchy
of
gathering too
firm,
must
such
as a rating
be monitored.
agency,
cannot
An intermediary,
solve
on which
the
problem,
people
have
since
it
claims,
must
arise. The next
proposition
a Diamond-style This
central
result
intuition
also
against an
the
Depositors
demand
monitoring
firms.
bank
cancel
other
give
The
this
is
coast
the
the so that
bank
of of
background
Proposition
5:
Proof:
Consider
observable,
centered
reached.
(This
to
on
(i)
to
diversify
I-+ XN
E(x)
the
number
unless
write across with
state
the
bankruptcy
firm's
a very
might
low
directly
they
contract
value.
chosen
zero.
This
correctly,
to
One way to diversifies
constraint
disappears.
the
binds
Finally,
capital.
view away. falls
notice
that
Contingent
on
the
investors
may
buy
bank,
market.
of
firms
take where
made
form
WE(X)
level
by to
of
= C.
a limiting
a contract
with
each
firms,
since
by
Since
That
by the firm
is, by
so that Strong
Law
1 as N + -.
This
may not
301
output
reverts return
bounds
This
E(S(e)) of
is
a Dirac
adding
bank.)
x
u times reserve
the
NN
approaches
output
all
their
argument
funded
bank
a constant
providing
firms
the
(II).
contract.
the
of
probability
solution
deposit
the
be
financed
the
following
number
to
the
With
to
on E(x), can
bank
or credit
claims
depositors
depending
of
approaches
depositors'
a-function
bank
the
allocation the
goes
about
as
on projects
produce
is
by
but
trivial.
a particular level
only
bank,
draws
not
along
profits.
the
Depositors
incentive-compatible
leads As
the
the
claims
can obtain
Alternatively,
the
distortion
part
in an equity
infinity,
the
only
of
a functioning
S(e)
This
cause
would
is
hold
and pass
becomes
do so.
and if
that
bank
problem
output
monitoring
the
size.
firm
by
economic
non-negative
independent
observe
(II) market.
The Banks
the
random, chance
uncertainty
the
that
to
a credit
story.
monitoring
would
unless
probability
provides
existence shares
of
closely.
a problem
that
diversify,
the
Alternatively,
they
quite
maintaining
inference
bank
nothing to
that
zero
the
solution
with
monitor
banks
the
know if
bank
incentive
monitor.
to
and
a nonmonitoring
the
provides
to
out,
diversification
to
the face
firms
depositors
only
force
from
across
to
while
Depositors
projects,
return;
investors
the
concert
monitoring
quantity
a return
diversifies each
many
to
in
[19841
delegated
sufficient
return
we can support bank
Diamond
this
in
that
monitor
follows
follows
firm
adequate
the
shows
delegated
induces = C, and
Large induce
is *EN, the (ii)
Numbers, a bank
to
monitor
optimally,
optimal
L,
from
since
however,
it
already
so they
receives
compensate
a return
the
bank
of
for
C.
Firms
K(L).
prefer
(This
follows
I.) Q.E.D.
One important enough the
debt
for
is
S(e). investors
to
The
existence of
supported
split
in
route
the
of
on
covenants.
These plant
this
are
further
to
lending.
designing have
rights
meetings.
managers,
indirect
control
via
rather
than
model
developed
financial Since
the
financial
‘The
model
contracts beholding
into is
of
limiting
a
firm
rewards
above
has
the
in
is
of
levels. to
the
Intuitively, bank,
the
more
a
Q(L) we the
Costly.
302
at
These
can
value capture force
by owners
shareholders' money
back
investors
exert
inducing
proper
following
the
to section.
problems
markets
to
controls
applications
and
of
“transforms”
want
bank
restrict
actions. and the
dollar
which
to Equity
informational
arising
linking given
here)
natural
this
rights
on getting
agents'
several
role
S(e)
and punishments, the
we pursue
technology
technology
effort the
insist stock.
seniority Underlying
option
may vote
their
bond
the
they cannot
enforce
disposition,
119791).
behavior.
sell
directly
stresses
in
its
actions.
well-defined
desired
they
and had endogenously
assumes This
(shares
although
which
model system,
monitoring.
and
has
and
asset
has
back
can
S(e)
The first
agents'
policy,
lender
money
a system
deregulation
dividend The
one's
they
the debt
equity
the
investment,
induce
just
paying
projects,
Warner
that
is
realistic
asset
in
other
investors.
on
and
claimants,
though
behavior, The
restrict
intervention,
As residual
the
to
scrutinize
investment
debt
and market
Smith
structures of
debt
[19851, get
Equity
reward
no
from
right
the
shares
signals
a more
available
so on.
amount,
and options.
bank
maintenance, and
bank
hold by
selling
compound
constraints
often
(Stiglitz
the
equity,
directors,
inventory
the
only
determined
that
by
bank
how the
control
imposes of
reporting,
intervention
debt,
of
covenants
and
redemption,
shows
need is
Given
We derive
between
boards
level
market
Here,
S(o).
of
forms
bank
incentive-compatible
also
financing
the
K(L).7
equity
acceptable.
which
that That
cost
the
paying
control
sit
of
is
6,
direct
mergers,
an
asset
different
Controllers
and
asset
in
at in
by a combination
This roots
Q(L), of
is
purposes.
capital
the
in Appendix
proposition
monitoring
raise the
share
contract
the
technology,
free that
bank's
to
optimal
monitoring
firm
is
corollary
in
the
intermediaries,
debt
with
a
level
dollar-denominated the minimum
notion effort,
of debt
that
the but
this
more is
it
can
probe
regulation. split
that This
between
Steagal of
It
money
other
then
regulations of
monitoring
by the bank
associated
forms
industries,
also
division
the
against of
the
from
stage
the
Glass-
introducing
for
the
determines
securities
closely
given
corresponds
The Act
marketable
controlling and
by
arising sets
marketable
and
of
enforced
2 and 5, above,
Act.
loans
regulation
developed
(B)
This
commercial
bank
and
Glass-Steagal
securities,
this
debt
and analysis
analysis
V.
Propositions
technology.
required
which
in Section
bank
underwriting
complications
panics,
for
a straightforward
and
considers
of
arguments
presents
lending
and banking
The equilibrium quantities
frequently-used first
commercial
Act.
inside
most
section
requires
optimal
the
available
to the
separation
that
securities,
the
the
and
two
types
thus
of
the
two
capital,
correspond to two distinct 8 banking. Consequently, analyzing
investment
represents
a natural
first
application
of
the
model
above.
THE GLASS-STEAGAL ACT The
National
Act,
was passed
major
provision
receives
Banking in
1933 in
of
deposits
underwriting, cotmnercial
banking
between
the of
having
the
in
a felony
the
two
as the
types
of
the
bank failures.' organization
business of
of
of
issuing, or other
investment
"conflict
securities,
A that
debentures
separation
conflict
part,
of
bonds,
this
Glass-Steagal
an
the
a perceived
This
significant
"in
stocks,
behind was
capital.
for
same time of
logic
known
of thousands
it
distributing
of
of
popularly
aftermath
at
stated
production
1933,
made
activities
control
caused,
the Act
or
The
of
engage
selling
10
forms
the to
securities."
Act
of
or
interest"
between
interest
and
was
the
two
viewed
as
bank
failures
and
panics
of
the
of
banking
panics
in
abeyance.
1930s. For
the
moment
let
us hold
the
of
Act
What would
be the
effect
economy?
If
Act
is
banks
sometimes
'Since
the
investment
'Background et.
[19791, "It
and
also
information and
Kareken
established
this
binding,
on
issue if
it
were
then
it
must
enforce
bond
a binding
covenants
the
Glass-Steagal
Act
FDIC,
restricted
branch
can
be
act
constraint
on the
as a constraint
, this
is
found
in
not
strictly
which
true.
Saunders
119851,
Sametr,
regulated
interest
rates
119861. the
credit.
303
banking,
and
limits
the
moment
we will
form
that
securities
also
that
the
the
form
In other
words,
the
the
Act
impose
too
can
commercial consequently, of
so that
underwriting loans
then,
industries
are
industry
it
debate
major
Glass-Steagal
(see
effort
their
to
market
Definition
1:
prevents Then,
the
Proof: The
intuition
and
introduced
into
distortion
is
optimal optimal
move Setting
even L,
it
imposed allocation,
constrains
amount
monitoring
investment as banks
banks, and
constraint sizes
prevents
make
Association With Act
over
the
the
the
two other
of
echoed
(19851).
this
of
notion
clearly
as most
on
one or the
This is industry
the
in
the
repeal
of
The connnercial
people
suspect,
that
interpretation,
is
a constraint,
2 from
considerations,
imposes
being
L > L,
which
realized.
we have: Act
is
6 is
inefficient.
a binding
on the
control
constraint,
from
there then
capital
which
by Proposition
v, = [e - cc+-) - dlits
optimal
value
y*.
is
no reason
an inefficiency In
process. of
characterized
If
clear.
savings-investment
satisfies
r away farther and
and,
(Assuming, the
relative
size
suggests,
Proposition
the
effort
binding
securities
Glass-Steagal
bonds,
an excessive
act
function.
Proposition
and
First,
preventing
A.
behind
Glass-Steagal,
the
Glass-Steagal
by
monitor.
constraint
Industry
of other
the
limits
two ways.
because not
that
and the
of
by
occur
market
separation
A binding
See Appendix
limiting
a
one constrained.
absence
bind
imposes
other's
Securities end
for
loans. to
of delegated
the
many
could
the
of
economy stocks
too
would
case
one the
corresponds
could
comparative
A binding
6:
make loans This
be the
equilibrium
in the
Proposition
market
Act
banks
is the
capital
so that
on
in on
Act
role
assuming effect
between
banks'
must
bind
securities,
suboptimal
from
regulation's
Act
low.
too
Glass-Steagal
economy,
2,
is
marketable to the
the
can
to
the
Moreover, constraint
takes.
many
Secondly,
corresponding When
too
may take.
Glass-Steagal
monitoring
holding banks
it
the
capital
much
making
economy
a binding
constraint
forcing
monitoring.)
the
that
of
from
that
required
the
control
banks
momentarily,
in
suppose
particular,
for is a
prevents achieving From Proposition 2. The
When Y is
Glass-Steagal too
small,
we
away from the optimal effort specification of V, = 8. thus a, too high, however, imposes excessive costs on 304
people. Many Act
activities
currently
would
of
constrains
vigorously
them.
Nor
area
of
would
they
engage
placement brokerage
to that
than
they
currently
the
"universal
banks
usually do in
banking" as
nonfinancial
well
the
do so.
Japan's
Long This
and
Credit
the
panics,
which
reason
we have
perceived by
analysis
‘*Much themselves and
that
deposits Glass-Steagal
what
were
on
Langohr
suggests
result
of
thirties,
when
banking
banking
and
evidence the
the from
information
[I9831
for not was
and other
stakes
United
allowed
to
States,
with
banks
into
of Glass-Steagal. on Glass-Steagal,
was to
to 12
in
profitably
commercial
question
regu lation panics
consider
prevent
banking
possible
would
the
model,
the
that
regulation, example,
privately passed,
panics.
and
European
the
benefits
and
argument
Asian
the
motivated
193Os,
consider
so our
previous
law's
central
the
however,
we can
modern
extend
(Diamond
approaches
to
by
and
separation,
the Dybvig
see
Oaskin
[19851.
banking
rather were the insured.
our
Both
Santomero
was originally
during
many
complicating
include
further
Marquardt
twenties
of
slightly
to
Thus,
underwritten
when
version
panics.
long
fields the
follows
equity banks
legislation
ignored.
which
London
of
the
business
INSIDE MONEYAND BANKING PANICS
abstracts
point.
of
entry
may beg the
at banking
1 Act
cause
that
occupation
for
so far
we look
The Glass-Steaga discussion
the
have
trust
countries
securities
large
in
dividend
growing
Germany,
major
grey
credit
across
the
banks
the
analysis
ostensible
IV.
II For
65,
of
management to
resisting
by Article
Glass-Steagal
investment
Banks
of
in
affect the
lines
hold
the
test
rapidly
banks
not
guise
In
and
that did
the
comparison
large
similar
Act
paper, and
role
England,
is
straightforward
because
the
Glass-Steagal
that
in
States."
proxies In
experience
proscribed
United
vote
underwriting
Term
addition,
the
activities
plans,
a larger
pattern, as
if
commercial
In
the
seems unlikely
Act
activities
play the
corporations.
entered
of
the
investment
corporations.
securities
and
myriad
private
indicates
the
in
the
that
It
of
issues, employee
indicate
repeal
Act: and
banks
institutions.
the
new
services
from
for
of
reinvestment
areas
these
push
the
support
the
commercial
than only
panics
and
bank
failures
of
a result of the lack times in United States
See Gorton 119851). El. is that the situation
But could
the
1930s
of regulation. history to that
whatever be
different
the
facts today.
were The point were
119831,
Gorton
Schwartz
[1985X])
and
classical
theories
agree
that
[19631)
types
of
information
asymmetries
or be dramatically introducing of
changes
money,
altered
inside
money monitoring
and restrictions The results
with
a good
regulation
of
is
removed,
the
suggest
that
technological
and panics
this of
exercise
that
such for
such
regulation
model,
quite
and certain
could
disappear
changes.
we analyze of
After
the
effects
producing
surprising, that
currently
regulation
legislation
These
technology
We suggest
that
from
inside
and liabilities.
prove
evidence.
reason
the the
assets
Friedman
result
or regulatory
into
technology,
on bank
deal
[19101,
panics
and uncertainties.
with
in the
(Sprague banking
the
only
exists.
might
causes
though
the
for
Were bank
also
very
consistent
reason
disappear.
bank
failures
bank
regulation Moreover,
we
purports
to
we
must
it
prevent. To
consider
transform
the
extension
of
panics
but
modern
panic
these
the to
financial
these model
broader
to
allow
model
aims
examine
in
theories,
markets
not
exchanges
bank
money.
Secondly,
bank
failures
for
bank
banks
would
occur.
relevant of
market
legal
ultimately
and lie
behind
requires
purposes
(perhaps it
money. required technology
most Thus,
which
0.
the
of
along
0
a "panic" all
and agents
financial
on the
no way to
panics. of
the
transfer
We focus
nonexistence the
inside
of
a cash-in-advance produce
is
determined a
contracting 306
lines
money
to
circulating
includes
definitely
obtaining
aggregate leaving
underlying
outside
on deposits, to
risk.
the
Thus,
such
a market
panics. economy
amount
constrained
for
loss
why
To do this
corresponding
relevant
and
panics
introduce
from
and
banking
knew
securities,
risk
financial
because
classical
people
which
banking
we consider
we
people
This
of
In the
and III,
if
behavior
the
bank
reasons
efficient
amount
for
tradeable
a given
both
a potential
markets,
exist
a monetary
panics. model
of
currency,
prevents
bank-specific
economic
We consider economy
for the
II
However, no
cost
always
element
now create panics.
Securities
may not
and price
finds
some
a particular
Section
for
and when,
Thus,
any
assess the
fail
reform, banking
asymmetries.
in
liabilities
information.
information, lack
features
would
provide
and
and how they might be overcome. to our model. First, since in
public
which
regulatory
an essential
arise,
the
a motive
money
information
we add
providing
of
inside
developed
might
following
issues to
depth
namely,
context
asymmetries
for
which
serves
(198581.
medium
bank
debt, an
of
The
exchange
Cl, must inside
technology
be at money
making
The
transactions
constraint).
this by
of Gorton
economy
as
inside
least
the
production the
bank's
liabilities
acceptable
check-clearing the
technologies
reason
that are combined. 13 If,
in
the
the
the
banking
system,
the
banking
system
not
that
by
equity
between
is
E.)
Even are
13U”der producing activities
to
current
banking
money
informational within a
also
this
contract
such
that
in
overissuing
technological
the
[1985A1).
by
intermediary-money
the
most
form
than
become
bond.
The
lowest
money
producer.
cost 14The
idea
intermediary, existence
of
information monitors with
the
cannot
economies
other
argues
systematic as the
upshot
of
the
equity
per -9 reduced
bank
may
is
size
the
which
se
but
to
first-best
interpret
the
monitor risk.
than
as
a
bond,
discussed bond that
as
in
by
panic.
the In
and
5 as
diversifies.
307
though,
5.
Gorton
Gorton the that
bond the
are so
is
cost
it
as
becomes
Of
the the
the
119801. is not
The
and
the
shows
depositors such
be
These
held
depositors
sufficient of
to
performance
[1985Cl
1198561
bond
consequently,
and Kracaw a solution,
between
by
producer
monitor. they
the
a
determined the
delegated
by Campbell partially
Kracaw
saying
is
and
because
contract
requires
private-money
guaranteeing is
internalized performance
requires
the
been
important
contractual
loans,
Proposition
In Campbell Proposition
by
nonmarketed
of
fact
held
are
bond
these
have that
money
investors),
nonmarketable,
has
is equity
final
argues
the
and
however,
inside
assure
monitor’
by
monitoring
activities of
to
a form the
exclusive,
One
arrangement
claims
possibly
mutually two
fact,
reason, is
of
performance to
efficient
role an
this
an
already
information,
will
of
the
a bond
ability
either then,
restriction,
production
up
(rather is
and
serves to
put
that
bond
when the
economy’s
producer
bank-specific One
The the
intermediary
depositors and
producer
not
in
Cl.) diversified,
environments.
exist that
this
distinguish not,
for
activities
to
rationales,
unregulated
scope
problem, be
equity,
in
or
asymmetric
asymmetry
performance. zero
that under
are
panic,
the
completely
cannot
which
be in trouble
Prior
We assume
be
(Notationally,
depositors
course,
theoretical
nonmarketed,
performance
of
face they
5.
equity.14
A banking
be combined.
The
The
efficient
securities
Two
money.
Gorton the
to
about
(see
could
that banks
banks
cannot
and banks
alike.
Assume
diversification
(See Gorton 119858, banks, completely none
private-money
held
though,
bank
combination
his
some
to
individual
Proposition
banks)
hold
equity,
regulations,
required
assumptions
(the
refers
individual
perfect to
monitor,
panics.
industry.
combined.
interactions firm.
single
not
are
explain
without
look
delegated
that
case,
according must
many
are
were
forth
banking
of
that
production
5 actually
5 but
as
captures
money
the
possibility
diversified
banks
there
inside
the In
A "troubled" all
the
When
with
of
things
also
inside
of Proposition
monitors
not
as such
technology
and
Proposition
banks
which
depositors
of monitoring
put
delegated
firms.
to
is
satisfies
depositors,
banks
monitoring
there
this
claims
monitor
Furthermore, be monitored
the
monitored
debt
diversified.
risk.
since
but
then
that
as well
monitoring
circulating
always
individually,
cannot,
of
delegated
be perfectly
idiosyncratic
bank
to
that
medium,
We assume
activities
addition
we recognize
may
as a transaction
that
the even
confound to
bonding
guarantee goes
to
combination the
of
circulating
possibility
of
particular,
there
liabilities. of
banking
system
agents
lack
markets.
rather
Such
information
asymmetries
of
panic
under
banking
more
classical
panics
their
own
a variety
then
possibility
what
bank of
views
[19631.
of
If
panics
without such
opened
panic
would
checks
the
by
scenarios.
banks'
basis
for and
depositors
there
within
the
mean that in those
the
Diamond
theoretical
Dybvig
[19831
and
do not
know
information,
Something
of
as
espoused
could
because
prices
is
those
bank
Nor are
markets
bank-specific
which
assets
by the
that
or
clear
Incomplete
are
In
assets
with.
be revealed
happens
and,
a market of
would provided
Essentially
Schwartz the
markets.
which
of
the
e.g.,
through
bank
associated
liabilities,
than
for
can create
incompleteness.
any
markets are
monitoring
market
for
assets
information
[1985B].15 state
bank
of
markets
the
explanations Gorton
no those
for
and delegated
because
no secondary
function
markets
debt
panics be
are
monitoring
secondary
the
may
There
the
private
banking
this
price
they
also
lies
behind
by
Friedman
and
bank-specific
risk,
be eliminated.
In sumnary: Definition bank;
2: (2)
each
Proposition called
A banking bank
5;
and
a Non-Diamond
Definition
3:
convert
all
system cannot
(3),
A banking their
which:
achieve
there
Banking
in are
no
(1) the
there
exists
more
diversification
secondary
than
one
required
markets
for
L,
E,
by D;
is
seek
to
System. panic
deposits
is
into
an event currency
in at
which
every
depositors bank
of
the
banking
system. Then,
almost
by definition:
Proposition
7:
A banking
panic
can
occur
only
if
they
hold
the
banking
system
is
Non-Diamond. Proof:
If
depositors
15in
the
existence
of
Gorton’s technological
model
possibility
there are
Diamond the
is
is
fully
, the change the
and
banking
one
full
diversification,
insured
even
Dybvig
system,
asymmetry is could eliminate
model and
if
if
the the
as
assumed
asymmetry
created by it without
we pursue.
308
in
Proposition
claims
information disappeared,
agents because eliminating the
5,
on only
asymmetry so,
too,
explains would
it is socially need for banks.
then
a single
banks. optimal, This
the In but latter
bank.
If
reason
to
least
one
depositors
are
panic.
markets
If
secondary
bank
states,
never
a desire
is
fully
not
for
price
idiosyncratic
and
insured,
complete
market
efficiently
know
always
there
a bank
since
liability
to run
they
for
bank
underlying
by depositors
then
never
diversification, each
risk.
firm
on every
there
bank,
then
But
shocks bank.
have
but then
are
at
those
depositors
i.i.d.,
Hence,
any is
there
is
no panic. Q.E.D.
Proposition
in effect,
7,
we consider
what
Non-Diamond
System.
Section not
III,
just
Before banking relates
in
this
bank
loans
individual
bank
loans. of
money, level
FedWire,
or the
If
"smart
point
banking were
we think
of
can
banking
panics,
changes
in
panics this
would type
expectations
of
disappear models,
imperfections
prevent risk
an
of
those
determines
the
level
this
money with
associates balance
on
model
technology
idiosyncratic
The Glass-Steagal the
change of the
a monitoring
other the
technology
Act,
between
these
spot.
the
a
FDIC,
forces.
the
of model
they
cannot
be the
issues.
eliminate regulation.
the
need
for
“sun
spot” panics
consider
panics
“sun
disappeared,
emanating in
possibility In
are spot” so
Yet
these of
the
eliminated. panics.
our
of
addition,
examination
equilibria has
reference
regulation. upon
of then,
Underlying
the
bank
information
equilibria
we do not
regulation,
for
of
existence
bank
be observable
asymmetric spot”
as to
remove
types [I9831
the
for
regulatory
need
can
certain
“Sun however,
the
necessarily
Dybvig if
reasons, a way
such
subsequently,
reasons
in
not
and
and,
original about
only
Diamond sun
from
contracts,
technical
technology
loans.
original
regulations
precisely, the
while
decisions hence,
would
‘%bre example,
debt
key features
side,
away all
panics, the
change and,
bank
possibilities
real
can alter
those
current
technologies
a
TECHNOLOGICAL AND REGULATORY CHANGES
recurrent
for
create
imnediately are
and the
transactions
card"
follows
regulation
On the
contracting
insurance
whatever
of
bank
V
banks.
efforts,
monitored
In Section
regulation
contracts
summarize
side,
while of
V.
deposit
firms'
and
that
to
diversifying
equilibria.
technology deposit
effects
section.
monetary
specified
on the
the
spot"
point
demand
may be useful to
of
important that
claims
from
On the
inside
One
considering it
"sun
aspects
is
equity
panics,
developed
specific
however,
small
eliminates
16
definition
from
nonunique
solutions
any
meaningful
sense.
FIX But
these allows
to
rational
existing
world
these
issues
of
regulated
and
some
banks. casual
Theoretically, evidence
the
suggests
above
that
model
they
raises
are
real
possibilities. A variety the
of
context
roughly
of
to
what
implications
consider
panics.
panics,
by allowing
example, technology; a
change
economy
is
currently
changes
and,
(A)
the
in
each
the
can
information banking
change
result
in
about
individual
panics
this,
and,
consider
bank
in
holds
a simple
nonmarketable
as
delegated
the
of
bank
portfolios, raison
and
The balance
of
Assets Nonmarketable
“Note them
in
particular, banks have
that sizable
have
securities,
mention they
quantities.
that
been
no
always
the
banking
had
this
constrained
CL)
i .e.,
debt
is
of
never
bank
the
banking revealing
possibility
of
regulation. for
To
see
a representative bank
corresponding deposits
Deposits
government been
We presume system should using.
or
binding.
by
the
representative
Demand
made
have
alternative
from
three
initially to
and bank
its
role
equity
as
is:
Liabilities
Loans
securities;
The
these
of
representative
Equity
government
In
are
which,
exercise
demand the
and,
"SECURITIZATION"
market
as assets,
holds
sheet
making
constraints
of
The
monitoring bank;
capabilities
static
(loans)
the
constant.
from
AND
d'etre
for
production.
eliminates
system.
securities
in
factors
these
a new
banking
market,
money
two
monitoring
of
of
representative
regulation that
comparative
possibility
is desirable.
inside
MONITORING
the
banking
the
other
opening the
monitor,
liabilities.17
IN
the
change
of
by bank
in
hence,
a non-Diamond
size
evidence
the
a
which and to
possibility
a change
of
hold
CHANGE
Technological system
we
we present
TECHNOLOGICAL
such
technology
constrained
for the
in
changes
and regulation,
have
first, the
can be considered
consider
an information-revealing
that
in
to
removes
of
changes:
change,
below,
changes
opening
a change
is
in technology
change is
three
second,
considering
these
changes
goal
changes
presumption
consider
Our
a proposed for
our
model.
observed
If
then
We
and regulatory
above
correspond
banking
third,
technological the
equity,
and Banks for
not
(E)
securities.
constrained
that not
this hold used
cannot hold similarly
regulation.
310
(D)
from
Banks doing
reflects the large quantities it,
we concentrate risky
equity.
risky
securities
could
so,
hold
but
have
economy’s of safe on
option
form is
held
preferences, assets.
the
The
tradeable never
the
of
in Since
that the
they
private
constraining
Consider
an
technology.
At
effectively
(or,
achieve), proportion
look
like
now?
Proposition
8:
a given
inside
in an unregulated
savings the
Q,(L)
Proof:
is is
new monitoring the
old
system
will
technology
This in the
minimum
such
level
of bank
that
a minimum
in
Q*(L)
a technological
(i.e.,
then,
to
in).
representative
(i.e.,
binding
less
as nonmarketable
a
the
more
a shift
shifts
technology,
required),
monitor costs
cause
but
What
and II 2 6l is
technologically
K(L)
unregulated,
is
is
(or
banking
money.
monitoring
can
monitoring
economy,
inside
the
of
higher
by the
is
system's system
the
new
amount
of
equilibrium,
lower.
By hypothesis,
cannot
is
held
economy as
If
money
level
L,
required
equity
Q(L)
banking banking
given
> Ql(L), UL, where Ql(L) improvement in monitoring), bank
the the
would,
Suppose is
in loans,
for private
deposits
of
change of
claims.
level
equivalently,
i.e.,
technological
improvement
each
be reduced.
equilibrium Then,
by the
the
regulator
L is
reduced.
balance
sheet
But,
by assumption,
constraint,
D
L = 0 + E, E is
reduced. Q.E.D. In
other
words,
to
adequacy"
problem
when,
But, equity (Or,
in
in fact,
a non-Diamond
level
as
regulators
part
of
9:
If-QP(L)
there
banking the
may impose
Proposition
there
the
appear
no such
problem.
system
contract
a binding is
is
would depositors
to
UL, 0 > D is binding, and E 2 E is no banking panics can occur.
Proof:
By
liabilities, can
only
equilibrium
D + E, cannot be
securities,
made
up
so now the
L
be reduced.
with
S,
banking
is Hence,
i.e.,
is
that
then,
lower.
But
in
by
QP(L) the
new
assumption,
L < 0 + E, and the But
banks. case,
such
binding,
no longer
"capital a minimum
In that
L + S = D + E.
system
a
non-Diamond
technology,
> QI(L), equilibrium
hypothesis
the
constraint.)
new monitoring
be
may require
monitor
equity
to
shortfall
S is
traded
non-Diamond. Q.E.D.
According
to
Proposition
securities
as
assets,
securities
in
the
sheet
be:
would
9,
banks,
if
corresponding
economy.
The
allowed, to
the
unregulated,
311
would new
hold
equilibrium
representative
some marketable division bank-balance
of
Assets Nonmarketable
Loans
Marketable
For
the
Liabilities Demand
Assets
same market
Deposits
Equity
value
of
liabilities,
the
bank
now holds
some
traded
assets. The stocks
marketable
and
Marketing
securities
bonds
or
loans,
banking
competitive
ground claims
deposits, information
the
in bank
since
loans,
consequently,
the
about
the
is
eliminated
asymmetry
would
the
form
of
could
also
be loans
be a natural
it
investment
their
information
take assets
on loans,
industry to
on
and
specific
could
marketable
or claims
comnercial market
the
claims
price
of
entire
thereby,
would
such
bank
be
a claim
would The
creation
of
the
concede if
junior
portfolio.
by the
for
Notably,
industry.
these
traded themselves.
development
not,
would
banking
existing,
banks
to
demand
reveal
bank-
panic-causing
a secondary
market
loans.
However, Corollary
a corollary
9A:
QI(L),
UL,
binding,
If-Q*(L) D t
then
Proof:
If
L > i,
to Proposition is
El is
the
the
new monitoring
binding,
Proposition
Act
were
9 would
technology,
E 2 E is
Glass-Steagal
Glass-Steagal
9 is:
not
causes
binding, the
binding,
such and
of
since
Q*(L)
>
Glass-Steagal
possibility
then,
that
is
panics.
we would
not
require
hold. Q.E.D.
other
words,
possibility
In
of
creates
the
regulation panics
need
becomes which
for
self-justifying
it
deposit
is
because
supposed
to
insurance).
But
it
prevent this
creates
(and, is
not
the
thereby, the
only
implication. Proposition
10:
If
and Glass-Steagal world
than
Proof: The
if
Q*(L) is
> QI(L),
binding,
Glass-Steagal
See Appendix intuition
behind
banks
are
forced
level
of
monitoring
to
UL,
then were
D 2 0 is
banks
not
will
binding,
fail
E t E is
over
more
binding,
states
of
the
binding.
B. Proposition hold to
loans the
10 is
as follows.
as assets, new
equilibrium 312
the
banking level.
At
the
system The
same time
that
can reduce banking
the
system
monitors
the
range
of
other
than
economy for
same amount loans,
has
taken "loan
is
called
sells
are
and
put
the
'participant'
loses.
a shorter
than
secondary
past
few
years.
$413
billion
of
loans
$453
billion
of
total
sold
out
[1986]).
In
Every
leaps
loans of
recent
explanation
$474
technological
a binding
as
parties.
of this
than for
to
which
the
the the
since
life
were in
sold
1985,
total
of
loan the
participation in
the
this
way,
out
of
were
sold,
out
of
worth
of
$18 billion
loans
outstanding
market
will
is
consistent
the
then
enormously
billion
loan
underlying the
grown
bank
underlying
participation,
$10.5
and
The These
risk
has
assets
follows.
at
market
A
participations
nonmarketed
works
loans
change
constraint.
loan
third
loses 19
1984,
that
this
the
also
billion is
some loans
loan. of
in
development
of
representative
reducing
the
level
of
The new balance
sheet
18Notice
that
Proposition
are
prohibited
not
continue
(Zweig to
grow
by
19See
but Norton
cannot [19861,
banking
shift bank
monitoring
in
the
sells to
forms
of
secondary
correspond
with control
loan
to
the
the of
above
capital.
participations,
new social
optimum.
is:
9
from
government securities Act, however, as
result,
in
a technological
our
the
bank
outstanding;
expectation
Suppose
since Steagal
of
$3 billion
the
and bounds. This
they
firm
underlying
outstanding;
to trade
maturities
the
participation
1983
to
life the
the
loan
if
prefer
previously
shorter
the
though
is
participation
However,
life
The
were
made
words,
a larger securities
riskier,
secondary
selling
stripping
the
during
Act of
has for
of
other
defaults
of
over
holding
system
that
creation
Loan it
typically
In
made
loans
the
now fail from
it.l*
Glass-Steagal
is
buyer
participation.
is of
the
loan
would
suggest
The practice a
banking
Banks
banking
banking
in
can banks
prevents
"securitization."
participations
was
in
stripping."
which
the
riskier.
regulation
and that in
shares
loan
makes
developments place
loans
by prohibiting
not
but
new development or
is
stocks,
Recent
holds
regulation
as a whole
traded
but
Ironically,
states.
in
assumes
holding have active Proposition
eliminate Berg
it
that by
banks For
law.
will
secondary markets. IO, the existence
completely.
119861,
and
Zweig
313
not
hold
Proposition
119861.
In of
government 9
this
considering
government
securities, makes
no a
securities
which difference,
binding may
Glassaffect
Assets
Liabilities Demand Deposits
Loans
Held
Loans
Participations Loans Sold New Securities
The
bank
temporarily used
from
to
Steagal
some
the
purchase Act
market
sells
it
are
these
is
reflect
the
information
loan Since
if
demand
risk
has created
the
can
quite
is
are the
solvent
Glasscapital
a loan
the
information senior
(and
bank
and
price
only of
defaulting.
then
directly
*'
the
participants
if
the
underlying
This
would
is
exactly
because
banks.
limit
bank-
a participation
panics
among
revealing
claimant,
then,
banking eliminates
to
are
The
marketable
making
them
operation
loans.
being of
market
which
this
new
from
distinguish
likely
of
be
process
eliminate
new market
are
the
particular
would
proceeds must
removing
be repeated.
Consequently,
of
this
is
participations,
securities
deposits
bank
depositors
regulators
new must
solvent). which
information
The
participation
the
as
which
Consequently,
paid
borrower
loans
sheet.
as a participation risk.
only
its
securities,
prohibits
The secondary specific
of
balance
new
securities.
selling
Equity
the
with
this
Technological
information or
change
asymmetry,
prohibit
this
but
market's
development.
(B)
INTERSTATE The
change
technological.
In
representative
bank
production against
interstate bank
representative
to
this
banking
*‘In fact, there likely to be debatable claimants to deposits,
the
considered
were
eliminated,
tend
regulatory
a change technology,
We suppose
increase. would
is
we consider monitoring
constant.
would bank
be
section
holding
technology,
American
AND THE SIZE OF THE BANKING FIRM
BANKING
second
then
that the
An increase mitigate against
has
the
and the
in
to
in
rather
if
the
average
than
size
of
inside
the money
prohibition size
of
the
size
of
the
occurrence
the the of
not been a legal case to actually test this proposition, and it is whether participations are really secured loans, and hence, junior or purchase-sale agreements. This same issue has confused the status In either case, however, the participation must price bank-specific of repurchase agreements. risk. If the participation is junior-to-demand deposits, then bank default risk must be priced. If the participation is a purchase-sale agreement, the bank’s monitoring capabilities of underlying loans must be priced.
314
banking
panics
currently
because
larger
feasible,
banks
making
could
the
insure
themselves
information
in
asymmetry
a way
not
irrelevant
to
depositors. Proposition
5 shows
diversifying able
to
risk, efficiently
the
risk, 5.
oft-made
the
commonly 1837,
cited
particular, In
the
United occur
a typical
loan
originator
of
syndicate the
i.e.,
enforcing
Definition bank
observable
loan,
8.
is
by
an
the
Participants
contract I.e.,
States. happened
in
1960s.
In
to diversify
A
which
loan
syndicates.
is most is
In
likely
elected
the by
the
negotiate
producing
the
the
monitoring,
is
an arrangement
between
of
the
participants lead
is
(the
bank's
nor
the
state
of
only
realized
output
of
contracts
cannot
implement
a
principals)
efforts,
participants, observe
not
borrower.
and a group above.
is
1930s.
bank
for
the
to with
United
participants
responsible
participation (I)
agent
away
size
in the
banks
bank,
be
panic
in loan
syndicate
against
agent-manager)
by problem
project,
bank
in the
small
a lead
the
bank
was enacted
for
diversify corresponds
banking in the
for to
according
banks
participating
is
can
where
panic
important economy
monitored of
last
insurance
there all
be
than
the
is the
banks
size
larger
Otherwise,
covenants
A loan
is where
banks'
firm for
countries
opportunities
While agent
the
other
size
small
loan.
loan
(the
described
With
the
can
about
deposit
participation
4:
Larger
was no banking
States
or
monitor.
Canada
there
through
lead
the
most
that
banking
necessary
bank is
members.
loan,
not
average
in Canada
portfolios
in
fact
of the
condition
consequently,
that
the
size
the
observation
example
despite
lead
and
This point
constrained,
the
is
monitor
nonsystematic Proposition
that
which
e(e),
the
the
are
underlying
participation
x = ee(e). this
definition,
Proposition
11:
equilibrium
of
we have: Loan
Proposition
We need
Proof: diversify
by
to
participating Suppose
representative
bank
must
be
the
Diamond
5. show
originated.
contract,
participation
that in
there
has originated
a party to a the lead bank
a
representative
every are
a loans
loan
bank other
projects to.
I.e.,
participation contracts. faces a binding financing 315
than
other
cannot the than
the
completely ones
the
it
has
ones
the
representative
In each constraint.
bank
participation Since
all
banks,
of
each
which
there
participation
lead
bank.
From
Proposition
are,
contract here
say,
n + 1, want
will
require
the
proof
to
participate
in
m participants,
proceeds
each
loan,
in addition
exactly
like
to
the
the
proof
to
4. Q.E.D.
According above
cannot
is
required.
of
agency
each
The
be
which
bank
cannot
system
directly
either
banking
of
monitors of
by other
banking
bank
government
(II)
monitors
an extra know
is not--and,
regulators
layer
panics
Depositors
their
problem
introduces
diversify.
by
planning
because that
while
hence,
or
the
must
depositors
panic. banks
until
suggests because
recently,
limits
of banks
possibility
comparison small
which,
prohibition
to the
small
the
completely
international
number
many
is well-diversified,
in a banking
An
solution
monitoring
of
creates
monitored
themselves large
because
existence
costs
banking
11, the
Proposition
be achieved
small
the
to
banks
of
were
to
that
United
prohibitions
clearly
accepting
the
against
binding
deposits
States
has
interstate
constraints.
only
in
a
their
This own
states.
Thus, Definition that
5:
A binding
D 5 0, where
Then,
the
banking
maximum amount
prohibition
of
deposits
is
a constraint
in a state.
we have:
Proposition banking
12: system In
project
requires
project, must
But,
by
Diamond
to
given
achieve
Q(-). which
attempt
Proposition
interstate
a minimum
by D/L,
bank
the
banking
prohibition
is
binding,
then
the
2,
each
non-Diamond.
order
for
given
If is
Proof:
is
D is
interstate
the
interior
amount
of
But, is
the
less
number
than
diversification
11, loan
optimum
of
monitoring -.
of
Proposition
corresponding
projects
the
Consequently,
through participation
loan
to
bank the
monitor
representative
participation
contracts
can
L per
contracts.
cannot
implement
the
equilibrium. Q.E.D.
Once again,
then,
Recent of
states
nonbank
regulation
developments mutually
banks
agree (discussed
can be self-justifying. in to
legalizing
regional
compacts
(in
which
allow
interstate
banking)
and developments
next)
strongly
suggest
that
316
the
groups with
regulatory
constraints
on bank
(Cl
NONBANK
size
BANKS
OF INSIDE The amount
final of
size
of
such
production
of the
which to
through
system.
Unlike
deposits
have
form
is
deposits
asymmetry
could
a
secondary
Proposition inside
to
13: money
monitoring
If
firms
Proof:
Since
*‘There
the
is
an
two
information do
not
asymmetry. have
traded
all
In is
not
may
information obtaining
require is
the is
for that
the thin
of
trading
a minimum-size costly.
information.
(Grossman then
such
assets
their
which
also
efficiently banking demand debt,
in
a feature
of
the
be considered cannot
cannot
a firm
to order
the
are
have
a
be traded
the
informative
to
make L19801
market
317
If
banks
point
efficiency.)
banks
in
bank
hold
firm
must
prices,
no
that
an the
achieve
13,500
assets
companies
or
have that
trading
profitable if
there
are
any
traded
a minimum
also
possibilities out
larger,
eliminate roughly
traded
but
firms
were and
existence,
to
arbitrage
and
delegated
monitoring
open
addition
large
traded,
monitoring neither
non-Diamond.
size.
14,000 in
to
Stiglitr reduce
then
potentially
and
be
lead
delegated
delegated
bank
(this,
banks
and
with the
to
which
firms
of
Larger
costs
as
debt,
allows
could
traded
in
panic-
bank
change
separated,
States,
firm
is
the
notes,
between
one
separated,
stock
not
it
is:
concerning
does
bank
at
change
bank
United
to
debt,
rate
bank
are
actively
stock
fixed
from
point in
liabilities).
order only
In which
nonequity
stock. It
stock
is
activities
market
function
most
internal
bank
money-producing
additional
information-revealing
the
If
then
are
The technological
be feasibly
inside
is
The exchange
a technological
nor
a the
allows
associated
Checks
circulating
to
is
that
monitoring
loans,
the
a stronger
associated.
nontraded
which
Our conclusion
production
the
are
of circulating
be separated
markets.
such
be one which
characteristic
currency
this
would
exchange.
money.
allows
market,
in secondary
and
money
in
there
Moreover,
from
from
market.
inside
Suppose
inside
deposits
system form
0.
a shift
be eliminated.
of
clearing
is
binding.
separated
an important
older
a check,
which
be
demand
medium
product,
one
to
of
not change
demand
the
is
consider
money,
production debt
backing
no secondary
of
monetary
the
bank
have
to
up inside
a technological
a circulating
cleared
the
in
money
separate
exercise
back
of
assets
information
as
to
inside
Demand deposits use
static
improvement
with
IN THE PRODUCTION
CHANGE
MONEY
on the
interpretation
causing
AND TECHNOLOGICAL
needed
technological
21
binding.
comparative
debt
constraint
feasible
are
size. at when
costs
to
will
have
secondary
firms
will
have
markets
traded
for
their
debt,
and
inside
money-producing
assets. Q.E.D.
Casual in
the
form
Company "(1)
evidence of
Act
demand,
1956
(2) is
undertaken.
this
banks.
The
the in
1970
bank"
has
is
being
to
the
realized
Bank
Holding
be an institution right
making
only
a firm
to
a legal
of
if
already
Amendment
business
legally,
is
bank
depositor
the
a bank,
A "nonbank
scenario
a commercial
that
engages not
that
defined
deposits
and
corporation
nonbank
of
accepts
suggests
to
withdraw
commercial
one of
these
that on
loans."
two
A
activities
which
undertakes
only
forego
commercial
lending,
is
one of
the
two activities. Most this
is
opened
nonbank not
such
International.
case.
Firms
Hutton,
banks
as a device
current
regulatory
is
the
banks
Household
the
delegated
chosen
nonbank
E.F.
if
have
always
Western,
that
banks
include
which
J.C.
have
Penny,
Prudential-Bathe, Bank
for
of
constraint and
inside
to
Pen,
have
interstate
such
banks
the
separation
money
is
is
binding,
though
open
Sears,
or
have
Gulf
and
Express,
also
banking
nonbank
preventing
monitoring
Parker
Companies
circumventing
status
attempted
Shearson/American
Holding
opened
and nonbank
prohibitions.
unclear.
The
It
of
the
then
the
is
clear
activities
of
banking
system
non-Diamond.
VI. Regulatory
reform
policymakers. its based
been
work neglects also
the ignores
our
basic
to
meet
regulate
this
model
criterion should
analyses often
which between
as a focus set
forth
take
into
(for
by
failed
to
within
example
and
119671).
because determine these Meltzer
account
unhelpful
analysis
unique
often
structure
and help that
and We hope
intermediaries. 119671
the
[1967])
or
standard
issues,
fulfill
Much conventional
financial
and
and between
Meltzer
seem unrealistic
markets for
economists
has both
(Tobin
skepticism,
imperfections serve
partnership
economists
interaction can
banking
this
between
communication,
principles
other
practical
market the
the
even
cooperation
Careful
economic
or
deserves
because
difficult.
on standard
regulators
for
however,
frequently
has
CONCLUSION
calls
Too often,
promise,
groups, to
to
both
sides
"Attempts
features
to
of
the
has many
uses
industry." From
the
economic
standpoint,
the 318
model
presented
here
beyond
those
agent
problem
employed
contracting.
Likewise,
may answer
other
basic
model
adding
extensions tastes
are and
critique In both
possible.
speaking
the
to
interaction
diversify
risk.
information supports
the
in
the
place.
invoked
the
credit current The
for
existing that leads
to
presents
has
existing very
changed
if
the
regulation failures,
at
the
problems
of
are years,
also
resolve
is
already
realize
the
nature not
fully
accept
weakens
the
financial
319
to
justifications
should current
it
to
important
regulation
will
inefficiencies
of
intermediaries
and the of
of
banks
difficult
Policymakers
stress
stability
convey of
influences
prevent.
Lucas
to
allow
securities
picture:
fifty
and
markets
existence
in
and
of
nature
form
policymakers panics,
the
the
self-justifying
a biased
artificially
we
level
we wish
the
and the
may be outdated. strongly
even the
Policy
world
regulation the
markets.
We extended
problems
secondary
stocks
Conversely,
regulations
inefficiencies,
bank
the
affect and
which
regulation--other
modeled the
labor
markets
policymaker,
and
directly
public.
world
is
principal-
institutions.
or
markets
asset
discussing
avoid
planner
the
example,
questions.
and to
futures for
to for
and
economy
claim
markets
Markets
to
the
social
Stock-bond
banks
when analyzing
between
Financial
intermediaries.
because
the
of
money
can
[1985])
monitoring
and normative
Since it
Adding
applications,
system
inside
Haubrich
regulation.
other
positive
technology,
(see
paper.
the
derive
by
this have
in
should
is
that
crises our in
and
argument
system
and
place
to
APPENDIX A In
this
appendix
Scheinkman
[1985],
(I)
we assume
strategy
of
problem basic problem, for
we solve
solution.
and
is
below,
to
to
lines
are 2 0.
transform
Kahn and In solving
continuous.
problem
(I)
We then
verify
problem
to
[1985].
absolutely
transform e,
similar
and Winter
e(e)
assuming
In order
along
and Farmer
S(e)
solution
(AII)
problem
the
that
(I)
problem
[1985j,
Farmer
The
into
another
that
e,
2 0
(I),
we need the
following
(If
the
liability
lemmas:
1:
Lemna
If
constraint
ee(t)
is
higher
states.)
Proof:
Using
satisfied
the
ee(e) From
the
2 S(f),
then
at
the
fundamental
- S(e)
agent's
ee(e) lowest
- Tee
= 0.
of
- S(e)
maximization
Bee - Se - V,e,
state,
theorem
= ee(e) - -
2 S(e). then
the
Thus,
is
[ee,
at
all
+ e - Se]dx.
constraint
eP,
satisfied
calculus,
+ ,:=,
problem,
it
limited
(ii)
- Se = V,P,
of
+ rPe.
(I),
Problem Substituting,
get:
ee@)- S(e) + Size[V,e, When monitoring 0,
the
S(e)
does
not
is
always
integral t
0.
For
bind,
- yee + e]dx
Y = 0.
positive,
e where
the
forces
a constant
level
of
positive
integral
of ledx.
Then so
constraint
= ee(e)
since
te(e)
namely,
V, > 0, e(e) - S(e)
binds,
effort,
- S(e).
i.e., Q(L),
2 0 and ee >
> 0
implies
r f 0,
the
so
ee = 0,
ee(e) constraint yielding
a
Q-E-0. Lenmia 2: Proof:
If
e(e)
Imnediate, Using
the
since lemmas,
MAX: S(e)Ae) subject
2 Q(L),
then
e(e)
2 Q(L).
ee 2 0. problem
Je[ee(e)
(I) - S(e)
can
be written
- v(e(e))lh(e)de
to:
320
-
as:
WI)
j-,
(i) (ii)
S(e)h(e)de
e(e)
(iii)
? C
2 Q(L)
w(r) - -
z S(e)
ee = C,
(iv)
se = ee, - v,is, + Ye, .
(VI
In this and
- K(L)
(v)
problem,
are
equations
the
are
control
L,
and e(e)
associated
related,
variable,
chosen.
S(e)
ea.
But, is
state
differential
however,
however,
are
not
(v).
Consequently,
level
of
a function
of
monitoring, 8,
Constraints The
equations.
by the
variables.
and
is,
two there L,
(iv)
differential is
only
must
therefore,
one
also
be
a control
parameter. Formulated Hestenes. problem
this
Using
way,
the
(II)
Hestenes
is
the
Theorem
optimal (see
control
Takayama
problem [19741),
of
Bolza-
we solve
the
as follows.
The Hamiltonian
is:
H = [ee(e) PI and P2 are
- S(e)
costate
+ P2Sa + A[S(eh(e)
- Cl-
is:
f = H + sl[e(e) parameters b = [e,
+ PIeo
variables.
The Lagrangian
The control
- VIe[e))lh(e)
Q(L)1
+ q2[ee(e)
- s(e)].
are:
15, S, S, Ll,
where: e(e) Optimal
= e; choice
PI + P2(e The Euler-Lagrange
e(8)
= e;
and,
S(e) -
= S; S(G) -
= S.
of C, implies:
(AlI
- V, + Y) = 0. equations
are: 321
dP1 de=
-h(e
- Ve) + P V e 2 ee 9
dP2 de = h(l-a) Totally
(A3)
(Al)
and
substitute
(A2)
and
(A3)
into
the
total
to get:
-0 =
hy(x-1)
- P2 - v,
ha
The transversality
conditions
-Pi(e)
.
are
(A4)
(see
q(l-QL)WeW
= I,
Takayama
+ I,
119741.
p.
660):
qph(e)de
(A5)
PI(B)
= 0
W)
f’2(9)
= I, q$Wde
(A7)
P2(9
= 0
w
lKL Integrate
lP2eeuL
= 1,
Euler-Lagrange P2(e)
which,
.
differentiate
differential
WI
= P2(e)
evaluated 0 = I,
Therefore,
- qlh[e)de . equation
to get:
+ (1-x)H(e)
at 5, using q2h(e)de
(A3)
WI
the
+ (l-A)
WO) transversality
conditions,
yields:
.
we have: (x - 1) = le
Define
1, z
written
as:
(x
-
1)/x.
q2h(e)de (All)
z Q > 0 . implies
322
(All) I, E IO,
11.
Now
(All)
can
be
P*(e) $ xh(e)=-’ r(e)
Substitute
(A12)
(Al21
into
(A4)
16 - J, (q&
-
to get:
Yll
implicitly defines (AI3) condition of Proposition given
as Proposition
fact,
was
ea > 0.
subject
the
optimal-effort
2 in
the
solved
We now
has ea L 0. M?
(AI3)
e’ function
text.
e(a)
Transversality
and
condition
is
the
(A9)
is
3.
(AII)
Problem assuming
= v
Incentive
ee(m)
- S(m)
using
the
lemmas.
to
verify
that
need
compatibility
The the
lemmas
were
solution
requires
derived
(AII),
to
in
that:
- V[e(m)l
to: e(m)
Q(L)
::
occurs
at m = e for
to
market.
the
(AI4) all
8, where
The first-order
m is
the
message
condition
for
which
(A14)
the
manager
conveys
requires:
eee - Se - Veee + yeg = 0 . By totally order
differentiating
conditions
(A15)
for
(A14),
incentive-compatible. Kuhn-Tucker e(e)
> Q(L),
e(e)
= Q(L)
Proof
of
then
and
it
To see
condition
on the
(Al51 comparing
follows
that
this
monitoring
that
ee
2 0
holds
for
our
constraint,
y = 0 and ee > 0 follows
Proposition
subject
to
constraint.
H,
if
r'(e)
with
the
the
contract
is
recall
the
solution,
y(e(e)
from
the
6:
To
additional So,
prove
- Q(L)]
> 0.
If
constraint the
the
Hamiltonian,
as above.
The only
that
Lagrangian
is
the
6 we solve
Proposition
L > L,
row
second-
If
= 0.
y f 0,
then
same
difference
as is
323
i.e.,
(AII),
above,
a binding
Glass-
is:
f = H + ql[e@)-Q(L)] + q2[~e($-Wj)] where
result
and e, = 0.
Steagal
Theorem
the
+ q31L-il above.
in the
Now apply transversality
Hestenes' condition
(A9)
which
is now:
aKL = j-, [P2SerL - q1 - q31h(e)de. In order = 0.
And,
for
the by the
assumption
the
Therefore,
q3(e)
above
solution,
Hestenes
Theorem,
Glass-Steagal > 0,
Ue,
(A13),
to
be achieved,
q3(R)IL-i]
= 0, at
constraint and
the
solution
is
we must an optimum.
binding, to
have
Proposition
i.e.,
q3(e) But,
L
>
2 cannot
achieved. Q-E-0.
324
by i. be
APPENDIX B In
this
above
where
same
status.
appendix bank
The
recognizable But,
this
bankruptcy,
particular,
we
than
L
is
of
the
bank
debt,
of
Section
claimants
can
be
the
claimants
III of
the
supported
equity,
consider
a hierarchy on
1
=
the
the
firms,
L
if
e* 5 e 5 e
Me)
if
_9 5 e < e*
amount
that
suffers Let
pays
honor
bank
least
off
its
cannot
repay
a capital
loss.
S(e)
denote
Hence,
debt
the
can
above
payoff
and
by
options.
implications
and argue
that
debt
the
of the
bank
has
following
S(e),
since
if
repay
these
e*
less
securities
realized higher
is
lowest
the
e*,
the
value
consequently, and
earn
and
states
than
and,
holders only
as the
for
where
par,
securities
T(e)
be
a positive are
the total
return
junior
if
claimants.
is:
e* < e 5 ?i
ife
.
can now be financed structure
in
the
bank
model
of
the
the
main
realized
bankruptcy at
par,
by some combination
and marketable
introduces
debt
explicitly
securities
between However,
the
is,
par,
at
principal
as long
states
security
(i.e.,
That
at
debt
to
- L
L.
realized
bank
repay
=
difference
claimants.
debt
of these
nonmarketable
present
to
securities,
structure
The project i.e.,
commitment
For
0
debt,
debt
bank
payment
T(e) S(e)
to
equal
the
be repaid,
payoff
promises
this
at
The credit-market bank
firm
L = e*e(e*).
output
output.
is
firm
such
the
can
output
the
the
bank
to
text
explicitly
claimant
The firm
e*
state
not
main
of
not
claimant.
senior
interest). value
the
the
problem are
structure:
where
the
in
in
appendix
L(e)
of
securities
equilibrium
senior
the
payoff
social-planning
so we impose
be the As
up the
and credit-market
securities,
in
will
we set
debt
new element text.
output for
the
i.e.,
or
of bonds.
bankruptcy.
of
bank The
which
was
management
receives
to
outside
payments
is defined
realizations 325
of
The firm and
firm
stocks
the
to
be the
the
state
inability less
than
e*.
The
default
agent-manager
on the
bank
only
The introduction manager main
faces text
because
the
marginal
in
what
bankruptcy,
on
the
bankruptcy
sense.
definition
of
technique.
more (e(e)).
of
the
when
link to
markets,
main
he does
not
In all
share
if is
of
output
is
much greater, The definition
be chosen. of
the
states
limited-liability
everything
value
agent-
text. large
then,
would
the
in
binding
takes
face
So the
the
bank
agent-manager
This
reports,
calls
debt
can
(L)
affect
and when
so
that
=
1
eQ(L,) L
is
endogeneity
now directly is
and choice
the
a monitoring have
when in
this
better
bankruptcy
order
then
to
use
requires
us
bankruptcy as
on the
follows.
be a constant,
of
i,
states,
For the
Let
across
all
monitoring
the
bank
and so on.
monitoring
level
and
disutility
bank
example,
carpet,
agent-manager the
of
bankruptcy directly
requires
Assume
determines
more
that effort
i
is in
Then:
L
L(e)
of
on the
choice
states.
managers,
and bankruptcy.
way.
management
make
to
claimant But
not
as
likely
determine
senior
in bankruptcy
this
the
viewed
is
technique.
be achieved
if,
in
does
on
be
should
be the
imposition
can
costs
monitor, debt
must
technology
bankruptcy
should
the
bank
agent-manager
the
enough
occurs as
debt
the
of
imposes
as a monitoring
can occur
bankruptcy
definition
the
bank
the
disutility
both
the distorted
the
bank
on the
bank,
process
creates
are
to
monitoring
bankruptcy
between
states.
principal
in is
The distortion,
bankruptcy
the
monitoring
monitoring
Bankruptcy
which
a disproportionately the
the
Since
optimally
bankruptcy
all
incentives
the
agent
(due
owed.
function
Therefore,
large
is
depends
than
bankruptcy The
states
that
Since
information
the
if
discussed the
received
however,
endogeneity
economic
link
(consumption)
occurs.
This
to
of
bankruptcy,
bank
expect
effort
occurs.
low
the
and one might of
problem
claimants
Now, with
than
the
changes
decision
outside
effort
payment
bankruptcy to
effort
constraint). less
of
compared
the
receives
debt.
if
e* 5 13 5 G
if
e < e < e*
defined
circumvented. interest
on the
by the Lm is
bank
debt.
variables.
326
the
bank
since
level In
e* = of
the
monitoring
above
formulation
and the and
L is these
The social
MAX: S(e) Ae)
subject
planner
now solves:
J$[ee(a)-S(e)-L-V(e(a))lh(a)de-V
@I)
to: &[S(e)+L]h(o)de
(i) (ii)
(Ve)
+ [&][E'e'
e E argmax[ee(m) subjkt
(iii)
e(e)
se(e)
this
form,
problem
problem
of
Appendix
A.
problem
satisfies
important is
of To
difference
compare Appendix multiplier Theorem, consider
here
A,
order
except on the
(BI) the
can
is
can
solved
in
the
same
transformed
using
of
Hestenes
theorem.
end point
e*
that
control
be the
the
lower
parameters
analogous is
way
as
the
lemmas,
the
The
only
variable
since
L and l,,,.
10:
solution In
(BI)
.
Proposition
that
binding.
? Q(L,)
conditions
of the
Proposition prove
2 C
- V(e(m))l
e(m)
Once
the
a function
Proof
- K(Lm)
> Qb,,,) + L(e)
In
- If,eh(o)de]
- S(m)
to:
S(e)
(iv)
it
II-J$h(a)dal
10 to
we
the
solution
to
solve
(BI)
that
here
e*
Glass-Steagal be solved
need
is
to
solve
we get we need the
lowest
constraint, as
transversality
in
Appendix
conditions
problem
when
the
lemmas
(BI)
above
Glass-Steagal
analogous
to
and
Act
is
those
in
state. Then, let q3 be the . Applying the Hestenes' L > L. To prove Proposition (10) A. for
choice
of
L
and
Lm,
respectively:
‘(QE( -ifi
)
=
jf$(l/Q(Lm)
- 1) - q2 - c131WW
LQL )+ i(e*)(--- Q(L”1,2) = .@-qlQh+ m 327
xLQL q2 + --&b(e)de m
01)
@3
Notation
is
optimized,
analogous
q3 = 0,
and
respectively. which
(Bl)
too
then,
monitoring
the
binding
banking
system
Glass-Steagal
choices
if
is (Bl)
A.
i(e*)
is
Glass-Steagal the
determine
bankruptcy
being binding, into
The constrained is costly.
* euc=&J
So,
characterize
substituting choice.
Appendix
Now,
Glass-Steagal
unconstrained
low because
of
e*.
without If
But
(82) these
be realized
"unconstrained." be the
that at
and
Then,
can
Theorem).
to
and evaluated
optimal
is
declared. (B2),
Lagrangian, binding,
choices
e* which then
the
is not
of
the
the of
choice
L and
lowest
Call
this
q3 > 0 (by
level
then
the of
monitoring,
Lm,
state sic
for
Hestenes Lm cannot Lmc,
is
Consequently,
* i =c Qk,,)
fails
over
more
states
of
the
world
because
of
the
Act. Q.E.D.
328
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