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less than they invested. These
investments, which are made for
a set period, are what is known
as “illiquid” investments. This
means that they cannot easily be
transformed into ready cash, as
liquid assets can.
Patient and impatient
Diamond and Dybvig assume
there are two types of people:
patient people, who want to wait
until Wednesday, when they can
consume more, and impatient
people, who want to consume on
Tuesday. However, people do not
discover which type of person they
are until Tuesday. The decision
that people face on Monday is how
much to store and how much to
invest. The only uncertainty in
the model is whether these people
are patient or impatient. Banks
might have a good idea about
probabilities: in general, 30 percent
of people might prove to be
impatient and 70 percent patient.
So it is possible that people will
store and invest amounts that
reflect these proportions. But
whatever people choose, it will
never be the most efficient outcome
overall because impatient people
should never invest, and patient
people should not store anything.
A bank can solve this problem. We
can think of a bank in this model
as a place where people all agree
to pool their goods and share risks.
The bank gives people a deposit
contract and then itself invests
and stores the goods in bulk.
The deposit contract offers a
higher return than storage and
a lower return than investment,
and allows people to withdraw
their goods from the bank on either
Tuesday or Wednesday with no
penalty. Having pooled people’s
goods, the bank, knowing the share
of patient and impatient people,
can then store enough of the good
to cover the needs of impatient
people and invest enough to cover
the wants of patient people. In the
Diamond–Dybvig model this is
a more efficient solution than
people could reach independently
because with large numbers, the
bank can do this in a way that
the individual cannot.
On Tuesday the bank has
illiquid assets—the patient people’s
investment that will reap a return
on Wednesday. At the same time
it has to pay the impatient people
their deposits right away. Its
ability to do this is the reason
for its existence. ❯❯
See also: Financial services 26–29 ■ Institutions in economics 206–07 ■ Market information and incentives 208–09 ■
Speculation and currency devaluation 288–93 ■ Financial crises 296–301
CONTEMPORARY ECONOMICS
A bank run in our
model is caused by a
shift in expectations,
which could depend
on almost anything.
Douglas Diamond
Philip Dybvig
Banks only keep a relatively small percentage of their
deposits in cash reserves. If all a bank’s depositors turn
up to demand their money back on the same day, only
those at the front of the line will receive their money.
Total depositors
Amount held in cash deposit
Bank Total amount on deposit