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FINANCIAL LIBERALIZATION, MARKET
DISCIPLINE AND BANK RISK
William C. Gruben
Jahyeong Koo
Robert R. Moore

Center for Latin American Economics
Working Paper 0303
Center for Latin American Economics
Working Paper 0201
September 2003

FEDERAL RESERVE BANK OF DALLAS

Financial Liberalization, Market Discipline and Bank Risk

By
William C. Gruben*
Jahyeong Koo
Robert R. Moore

Gruben* : Vice President, Research Department, FRB Dallas, Dallas, Tex.
Phone 1-214-922-5155, Fax 1-214-922-5194
E-mail william.c.gruben@dal.frb.org
Koo : Economist, Research Department, FRB Dallas, Dallas, Tex.
Moore : Senior Economist, Financial Industry Studies Department, FRB Dallas, Dallas, Tex.
* Corresponding author

Abstract

In the literature on systemic banking crises, two common themes are: (1) Risky lending
often follows bank liberalization. (2) Lack of market discipline encourages risky lending. That
not all liberalizations are followed by financial crisis and that financial systems without market
discipline sometimes operate without incident invites examination of these themes. In a test of
six countries, we find that our measure of bank risk increases significantly in the wake of
financial liberalizations, but only where depositors fail to discipline banks. Our measures of
market discipline and bank risk, however, are persistently inversely related.

1

The bank crisis empirical literature remains undecided over some of the connections of
incentives for bank risk with bank crises. Even though a systemic shift in bank risk is the
fulcrum over which these incentives may leverage into crisis, tests for systemic shifts towards
risk-taking are rare in the literature. Instead, factors that make risky lending more attractive are
typically examined directly in their relation to crises or, separately, to each other.
While these approaches have enriched the literature, testing the connection of risk
incentives to crises may obscure the elucidation of systemic risk itself. Some financial crises, for
example, are creatures of bad macroeconomic or fiscal outcomes whose links to risky lending in
the traditional sense are tenuous – even though the lending turned out to be risky ex post owing
to a force majeure.1 Examining the connection of incentives for risk to the events triggered by
such outcomes is instructive but may complicate our understanding of what caused the actual
risk-taking. We simplify the examination by directly testing for shifts in systemic bank risk and
for their connections to factors that make risk more attractive. With respect to who engages in
risky lending and when it occurs, our results suggest that financial liberalization without
depositor discipline is too powerful an intoxicant for many bankers to resist.
Even though we have distinguished between the economic literature on connections
between incentives for bank risk and bank crises from the literature on links between one
incentive and another, these two literatures speak to each other. Martinez Peria and Schmukler

1

To clarify this distinction, a comparison of Mexico’s 1994-95 Tequila Crisis with Argentina’s 2001-2002 crisis is
useful. In the former, an acceleration of capital outflows and a subsequent exchange rate crash was preceded by
rapid expansion in the commercial banks’ nonperforming loan ratios despite economic growth. We offer evidence
below to suggest that in Mexico a systemic shift towards risk was not preceded or attended by fiscal or
macroeconomic crisis. In retrospect, the Tequila crisis was widely perceived as a bank-risk-led crisis (viz. Gruben,
1996 and Gruben and McComb (2003). In the case of 2001-2002 Argentina, however, the fiscal crisis led to the
banking crisis. Argentina’s banking crisis was preceded by a change in government regulations to allow banks to
use government debt to fulfill liquidity requirements, thence by government-ordered freezes on private bank
deposits (the corralito and the corralón) and finally by the default on government debt held (under duress) by the
banks. For an analysis of the factors associated with this crisis in contrast with Argentina’s bank problems during
Mexico’s Tequila crisis, see Burdisso, Saban and D’Amato (2002).

2

(2001) conclude that deposit insurance does not diminish the extent of depositor discipline.
Using a very different analytical approach, Demirgüc-Kunt and Detriagache (2002) find that
deposit insurance does affect bank crises. Taken together these results call to question the
linkage between depositor discipline and bank crises.
Unresolved conflicts also characterize recent related literature on financial regulation and
deregulation. Barth, Caprio and Levine’s (2001) results indicate that regulatorily restricting
bank activities increases the likelihood of financial crises. In Boyd, Chang and Smith (1998),
restricting bank activities in the presence of generous deposit insurance reduces financial
fragility. And while Barth, Caprio and Levine conclude that less restrictive bank regulations
make financial crises less likely, an earlier literature maintains that liberalizations and related
loan expansions often precede large increases in loan defaults or full-blown crises (de la Cuadra
and Valdés, 1992; Gorton, 1992; deJuan, 1995; Honohan, 1999, Kaminsky and Reinhardt, 1999;
McKinnon and Pill, 1996).
While debate attends the links between banking crises and subsidized deposit insurance,
the expectation of bank bailouts and other commonly hypothesized influences on depositor
discipline, it is clear that systemic banking crises are not continuous components of any nation’s
financial system. Even when their deposits enjoy explicit and subsidized insurance, most
bankers go about their business most of the time without a crash.
Likewise, though much literature is concerned that financial liberalizations precede
bubbles - which in turn precede busts - these associations are also inconstant. Some regulatory
transitions are orderly.
We examine whether one reason why banking crises tend to be sporadic may involve the
way in which the factors discussed above are linked The infrequency of connections between

3

market indiscipline and shifts to high risk lending suggests that – when the circuit is completed –
some third factor might switch it on. We examine whether the third factor may be bank
liberalization. The inconstant links between risky lending and bank liberalization suggest that
they also may be conditional on a third factor. We test to see if the factor may be depositor
discipline.
In our sample, the connection between bank liberalization and risky behavior completes a
circuit where and when we would expect if the connection were indeed persistently conditional
on the absence of market discipline. The set of tests that allow identification of what links risky
behavior, financial liberalization and market discipline (or indiscipline) is one contribution of
this paper. We begin by testing for depositor discipline in six economies – Argentina, Canada,
Mexico, Norway, Singapore and Texas. We then test for shifts in bank risk during periods of
financial liberalization or privatization for the same countries.

I. Depositor Discipline
If bankers really strategize their lending risk in accordance with their anticipations of
depositor discipline, as is sometimes argued, we posit that they are likely to expect the discipline
will occur (if it occurs) most strongly and painfully in periods of systemic bank stress. We
assume that lenders’ expectations are rational – so that the way we know what lenders
anticipated is by seeing what in fact subsequently happened. We accordingly test for market
discipline in periods of bank stress that occurred in the wake of financial liberalizations that we
also examine.2 In the depositor (or market) discipline tests, we use bank-by-bank data to

2

In our tests, the period of bank stress for Argentina and Mexico is 1995, the Tequila Crisis. For Norway, we use
1987-1989, the nation’s banking crisis. Although other Scandinavian countries also had crises at about this time,
bank-by-bank data for them were unavailable to us. For Singapore the financial stress period was 1997-1998, the
Asian financial crisis. For Texas we chose the period of the state’s savings and loan crisis. No one refers to the

4

characterize depositor responses to changes in the nonperforming loan ratio, in bank
capitalization, and in two other properties of banks’ asset and liability portfolios.3
Table I presents the bank-by-bank cross-sectional results for models of the six countries.
For each country we performed ordinary least squares regressions to gauge how inflationadjusted deposit growth during systemic banking stress periods responded to changes in (a) bank
i’s past-due loans as a percentage of total assets (PDLi/TAi, to measure asset portfolio quality),
(b) on bank i’s equity capital as a percentage of its total assets (EQi/TAi, to capture banks’
capacities to remain solvent in the face of financial losses), (c) on the logarithm of the quotient of
bank i’s total assets divided by the sum of assets for all banks in the system (TAi/TA, to account
for too-big-to-fail perceptions) and (d) on bank i’s deposits as a percentage of its total liabilities
(DEPi/Li, as a control for the potential influence of liability composition on depositor behavior).
In countries where depositors disciplined bankers by pulling out of asset-impaired banks,
the ratio of past-due loans to total assets ought to explain changes in deposits during a national
period of banking stress. In Table 1, only Argentina and Singapore showed a significantly
negative relationship between the percentage change in the inflation-adjusted deposit growth rate
of banks and the past-due loans to total assets ratio. The six equations give our measure of
capitalization, the value of bank i’s equity capital as a percentage of its total assets (EQi/TAi), a
smaller vote. Only Argentina’s coefficient was positive and significant. Norway’s was even
negative, although not significant.4

Canadian case of 1984-1986 as a crisis period but it includes the first bank closings since before the Great
Depression of the 1930s.
3
Our focus on deposit growth, asset quality and capitalization is consistent with Calomiris and Wilson (1998).
According to their argument, as asset quality falls, capitalization must increase to maintain deposits constant. Their
characterization may be appropriate for industrial countries with contract enforcement and reasonably wellorganized and attentive financial regulation. Developing countries, as will be seen, seem to offer a different story.
For this reason we will ultimately focus our attention on asset quality and finally pay less attention to capitalization.
4
Perhaps these results simply mean depositors’ views are consistent with theoretical and other technical literature,
which provides conflicting predictions on whether capital requirements curtail or promote bank performance of

5

With respect to the too-big-to-fail variable (TAi/TA), only Singapore’s coefficient was
positive and significant. Four of the six sample countries showed a negative (but not significant)
sign. Finally, while the deposit configuration variable was positive and significant in Norway,
Argentina and Singapore, the Texas S&L coefficient was both negative and significant.
Regardless of cause, the number of countries with depositor discipline in their banks
turns out to be very limited.5 Consider a summary statistic, the significance level for the Fstatistic of each country’s respective equation. Using the .05 level of significance as a
benchmark, only Argentina, Singapore and Texas offered evidence of overall depositor
discipline, and obviously asset quality was not a major contributor to the Texas model’s
explanatory power. More narrowly, if a significant depositor response (.05 level) to a decline in
asset quality (see footnotes 3 and 4) is the correct measure, only Argentina and Singapore show
depositor discipline. It is possible that the commitment technology built into Argentina’s
Convertibility Plan and into the particular policy details associated with Singapore’s exchange
rate targeting regime may have led depositors to believe that government bailouts would be
unlikely when banks failed in those countries (viz. Fernandez and Schumacher, 1998).

II. Financial Liberalization and Bank Risk
Although we tested market discipline in our six countries during periods of bank stress,
the periods for which we tested for shifts in bank risks instead included years around financial
liberalizations or bank privatizations as well as years when such events did not occur.

stability. It appears to be difficult for regulators to establish capital standards that mimic those that would be
demanded by well-informed, undistorted private –market participants. Indeed Rochet (1992), Besanko and Kanatas
(1996) and Blum (1999) note that actual capital requirements may increase risk-taking behavior.
5
At least by the strong definition of depositor discipline – depositors flee the banks. Some analysts argue that the
conditions for depositor discipline are satisfied when bankers with high nonperfoming loan ratios and poor
capitalization simply have to pay higher deposit rates than other bankers.

6

It is important to recall what might make banks take bigger risks after a financial
liberalization. Jumps in bank liabilities typically follow financial liberalization because it
signifies greater opportunities to develop markets. Suddenly, banks are permitted to pay interest
on liabilities at rates the market will bear instead of what the government permits, or are simply
allowed to acquire types of liabilities that had been proscribed. A correspondingly rapid increase
in assets follows (Gorton, 1992).
In a narrative that resonates particularly with privatization episodes, de Juan (1995) notes
that when new owners take control of a bank, they generally increase lending relative to the
value of equity capital or the deposit base. Whether or not liberalizations and related rapid loan
expansions are followed by large increases in loan defaults – as they are in Gorton (1992), de
Juan (1995), Kaminsky and Reinhart (1999), and McKinnon and Pill (1996) – a common adjunct
to financial liberalization is markedly increased competition in the banking system (International
Monetary Fund, 1993).
As liabilities expand and banks seek to match them with new assets, not only the quantity
but the quality of assets changes. More assets typically mean larger shares of certain assets.
After privatization, for example, Mexican banks became much more focused on consumer
markets.
Asset quality also often changes in the sense of the other meaning of the term quality.
Under this same paradigm of financial liberalization, after a repressed financial system is
liberalized banks cannot supply intermediation services efficiently because they lack expertise
and adequate technology (Kaufman, 1998). Banks cannot evaluate the riskiness of loans and of
the higher real interest rates typical of a liberalized system. Lenders lack past distributions on
which to base their assessments. Loan portfolios become accordingly riskier.

7

These depictions of post liberalization/privatization banking markets are consistent with a
more general theoretical literature on strategic interaction among firms in growing markets
where investment and growth of a firm are constrained by physical factors (including qualified
personnel) or financial factors. Firms make pre-emptive investments in a struggle for market
share. This struggle for a share of a new market environment can be seen as key to the sudden
onset of high-risk bank behavior on which much of the current literature on financial and
exchange rate crises is based.
These same depictions of post liberalization/privatization banking markets are also
consistent with studies of consumer behavior in which, for example, a credit card holder
typically develops a long-standing affinity for the first credit card he or she receives (Wall Street
Journal, 1996). In sum, banks fighting for market share may engage in riskier strategies in
newly open markets (for example consumer credit markets in Mexico in the early 1990s) than in
a more mature market - for the simple reason that the expected long-term stream of rewards is
correspondingly greater to survivors who practiced such pre-emptive behavior.

A. The Model
We use a model that identifies high-risk behavior in a banking system – as well as moves
to high-risk behavior. Even though the model serves these functions, its original purpose was to
assess banking system competitiveness within or across markets. We appropriated a model of
competition to characterize bank risk because one of the model’s various states of
competitiveness – a state that Shaffer (1993) defined as supercompetition – is mathematically
identical to the high-risk tactic of producing where marginal cost exceeds marginal revenue.

8

Our emphasis on breaks towards risky bank behavior connects our work with the
literature (Kaminsky and Reinhart, 1999, for example) in which the trajectory of a banking
system begins with financial liberalization, leads through subsequent high risk lending, proceeds
into serious financial stress and may conclude with a financial and exchange rate crisis. Recall
our allegation that such trajectories are conditional upon other factors – that sometimes a
financial liberalization is just a financial liberalization and not an incipient financial crisis. For
now we focus on the portion of this sometime trajectory that joins (or does not join)
liberalization to systemically risky bank behavior.
It is useful to focus on breaks towards risky behavior as necessarily transitory. If
we characterize the market share struggle behind these breaks as requiring marginal cost to
exceed marginal revenue the struggle cannot persist indefinitely

What motivates the struggle is

that the present value of expected future return is positive despite temporary losses.6 Finally
because the high-risk behavior we are characterizing is a market share struggle, it may take place
across much or all of the nation’s banking system.
To characterize breaks into high-risk bank behavior, we present a simultaneous equation
model that Shaffer (1993) introduced to the banking literature. The approach allows tests of
commercial bank system competitiveness through estimation of an index of market power (λ)
and then applying a dummy variable to identify breaks in competitiveness or market power.
The test revolves around the idea that profit-maximizing firms set marginal cost to what
the literature calls their perceived marginal revenue. If the firm’s perceived marginal revenue
schedule and demand schedule are identical, then setting marginal cost equal to perceived
6

A case in point is the discussion above of consumer behavior with credit cards. Suppose credit cards have been
little used in a country until now and the first bank to present a consumer with a card will likely win the consumer
for life. Some banks entering the suddenly new credit card market may be motivated to distribute credit cards as

9

marginal revenue is identical to setting marginal cost equal to demand price, yielding the
classical conditions for a competitive equilibrium. Here, firms behave simply as price takers.
At the opposite end of the competitive spectrum – where firms act as a joint monopoly –
a firm sets marginal cost equal to a perceived marginal revenue that corresponds to the industry’s
marginal revenue curve (Bresnahan, 1982). Because the firm only perceives the marginal
revenue schedule and the demand schedule as identical under competitive equilibrium, the index
we use to gauge the competitiveness of a commercial banking system simply expresses the
deviation of the average bank’s perceived marginal revenue curve from the industry demand
schedule. If there is no deviation, we have pure competition.
Following Bresnahan (1982)) we write a demand function for commercial bank services:
Q = D(P, Y, α) + ε,

(1)

where Q is quantity, P is price, Y is a vector of exogenous variables, α is a vector of demand
equation parameters to be estimated, ε is a random error term. Actual (as distinguished from
perceived) marginal revenue is:
MR = P + h(Q, Y, α),

(2)

= P + Q/(∂Q/∂P)
The function h(Q, Y, α) is the semi-elasticity of demand, and h(·) ≤ 0. Firms’ perceived marginal
revenue is:
MRp = P + λh(Q, Y, α),

(2’)

where λ is a new parameter to be estimated, 0 ≤ λ ≤ 1. Here, λ measures the degree to which
firms recognize the distinction between demand and marginal revenue functions. Let c(Q, W, ß)
be the average firm’s marginal cost function, where W is a vector of exogenous supply side

rapidly as possible and with less thought than it might otherwise to borrower creditworthiness because it perceives
that haste will yield a greater present value of expected future return than prudent hesitation would.

10

variables and ß is a vector of supply side parameters to be estimated. Maximizing firms will set
perceived marginal revenue equal to marginal cost or, where η is a random error term,
P = c(Q, W, ß) – λh(Q, Y, α) + η

(3)

Price taking firms perceive no difference between their marginal revenue functions and
demand function. For them, λ = 0. Firms acting as joint monopolies clearly perceive a difference
between their demand and marginal revenue functions. They set output where marginal cost
equals marginal revenue such that λ = 1. Intermediate values of λ correspond to other oligopoly
solution concepts. A Cournot equilibrium is suggested when λ = 1/n.
An instructive detail of this estimating procedure is that (Shaffer, 1993) –λ is also a local
estimate of the percentage deviation of aggregate output from the competitive equilibrium level
of output. Since actual price deviates from the competitive price by –λQ/(∂Q/∂P), and actual
quantity deviates from the competitive quantity by ∂Q/∂P times the deviation in price, actual
quantity will deviate from the competitive quantity by –λQ. Thus, the percentage deviation in
quantity is –λQ/Q = -λ. If –λ<0, then output is less than what would occur in competitive
equilibrium, meaning that firms are behaving as if they perceived that they had market power.
Of particular importance for the purposes of this paper, if –λ>0, then actual output seems
to exceed the competitive equilibrium output level, even though static allocative efficiency
requires the marginal cost pricing outcome of λ = 0. This bank behavior outcome is referred to as
supercompetition. It signifies that the typical bank in the market is operating at an output level
where marginal cost exceeds marginal revenue.
To estimate λ, it is necessary to estimate simultaneously specifications of both (1) and
(3), treating P and Q as endogenous variables. The demand function is specified as:
Q = α0 + α1P + α2Y + α 3 PZ + α 4 Z + α 5 PY +α 6YZ + ε

11

(2”)

where Q is output quantity, P is output price, Y is a measure of macroeconomic activity,
assumed to be an exogenous variable, and Z is the price of a substitute for bank output, also
assumed to be exogenous. The interaction terms, the products PZ, PY and YZ, are necessary to
permit rotation of the demand curve as required to identify λ.7
Following Shaffer (1993), a translog cost function is used to estimate the average
commercial bank’s cost function as follows:
ln C =

γ0 + γ1 ln Q + γ2 (ln Q)2 + γ3 ln W1 +
γ4 ln W2 + γ5 ln (W1)2 /2 + γ6 ln (W2)2 /2 +
γ7 ln W1 ln W2 + γ8 ln Q lnW1 + γ9 ln Q ln W2,

(4)

where C is total cost, W1 and W2 are exogenous input prices, as explained below. Equation (4)
gives rise to following marginal cost function, c(Q, W, ß),
MC = (C/Q)(ß1 + ß2 lnQ + ß3 ln W1 + ß4 ln W2) + η

(5)

Therefore, equation (3) is specified as follows:
P = -λQ/(α1 +α3 Z + α5Y) + (C/Q)(ß1 + ß2 ln Q + ß3 ln W1
+ ß4 ln W2) + ξ .

(3’)

However, equation (3’) is not configured to facilitate analysis of breaks in bank behavior. To
allow for breaks, we rely on the following specification of (3):
P = -λQ/(α1 +α3 Z + α5 Y) + (C/Q)(ß1 + ß2 ln Q + ß3 ln W1 + ß4 ln W2)
- ß5DQ/(α1 +α3 Z + α5Y) + ξ ,

(3”)

where D is a dummy variable to be more fully explained below and ξ is a random error term. The
system of equations represented by (2”) and (3”) is then estimated simultaneously.
7

As Shaffer (1993) explains, a necessary and sufficient condition to identify λ is that the demand equation not be
separable in at least one exogenous variable that is included in the demand function, but excluded from the marginal
cost function. This condition is satisfied if α3 and α5 do not both equal zero. This specification of the demand

12

In considering the key expressions in the model, it is useful to review the contradictions
inherent in λ versus ß5. It is easily possible for λ, the measure of competitiveness for an entire
examination period, to take on values of zero or greater even though ß5 takes on a negative sign.
This combination of values would suggest that the typical bank in the country under
consideration operated at output levels consistent with perfect competition (λ = 0) or less than
competitive (λ > 0) on average during the examination period overall but that during the
subperiod characterized by a dummy variable the bank ran at supercompetitive levels (ß5 < 0).
Applying the dummy variable for subperiods during or just following financial liberalization in
fact turns out to result in episodes where ß5 < 0 in several interesting cases, even though no entire
examination periods in our model of the six countries ever yield a supercompetitive λ.
Research on the banking systems of the countries we consider here often disaggregates
banks by their market scope. Banks are sometimes characterized as large national, small
national, multiregional, or regional. Out of appreciation for this bank-by-bank heterogeneity of
market scope, we emphasize that the technique applied here does not rely on any particular
definition of bank markets. As long as the data sample spans at least one complete market, then
estimates of λ are unbiased. Where the industry comprises multiple markets, λ signifies the
average degree of market power over separate markets. Note that λ reflects the behavior of the
average firm in the sample.
Although this model assumes banks are input price takers, violating the assumption does
not damage the results in a way that would bother many analysts. If banks have market power
over deposits, in violation of the assumption, it can be shown that the specification of λ
overstates the overall degree of market power by misattributing any deposit power to the asset

function, apart from the interaction terms, represents a first-order (linearized) approximation of the true demand
function (Shaffer 1993). Our results lead to the conclusion that α3 and α5 are not zero. Therefore λ is identified.

13

side.8 In this case a finding of perfect competition or supercompetition would be even more
striking than if the input price-taking assumption were not violated.

B. Some Intuitions on Competitive Breaks
Before considering the tests to identify breaks into supercompetition, we offer figures to
develop an intuitive appreciation of the changing relation between bank costs and revenues
during financial liberalizations or privatizations. The six boxes in Figure 1 depict such changing
relations, but the indicators that appear there are much less refined than the measures of
competition expressed by λ (total period competition) and β5 (break, or not, during
liberalization/privatization). Each of the six boxes in Figure 1 depicts fluctuations in bank asset
interest rates, bank deposit interest rates and the difference between them for one of our six
sample countries. The sample periods differ for each country, but each period includes a
subperiod during and following a financial liberalization/privatization.
A consideration of some contrasts may be in order. Argentina’s overall period is
December 1991 through March 1997. During the subperiod 1995.IV-1997.I, private owners took
control of most of most of Argentina’s publicly owned banks. Over this subperiod, which
followed the Tequila Crisis of 1995, the spread between asset interest rates and deposit interest
rates rose, although not to the levels typical of the first half of the 1990s. In any case, this
subperiod does not show the decline in revenues relative to costs – or rise in costs relative to
revenues – that might be consistent with a move towards substantively more competitive
behavior. In contrast, Canada (overall sample period, 1965-1989, with annual data) began major
bank liberalizations in 1980 and pursued further liberalizations in subsequent years. Around the

8

For a proof, see Shaffer (1994), 8-9.

14

beginning of the liberalization subperiod, deposit rates in Figure 1 converge towards the value of
asset rates, diverging again in 1982 and 1983.
Note also the reduction of Mexico’s asset interest rates relative to deposit interest rates –
as expressed through the falling difference between the two – during the privatization subperiod
of June 1991- July 1992. During this period all of the Mexican banks (after consolidation) that
had been nationalized in 1982 were sold to the private sector in a series of auctions.
Norway’s chief liberalizations included the removal of interest rate controls in the fourth
quarter 1985, the removal of reserve requirements in 1987, and the removal of exchange controls
in 1989. During this period the change in spreads between asset interest rates and deposit
interest rates was even more extreme than Mexico’s during its period of privatization. A very
similar pattern of movement materializes in Texas thrift institutions in the early 1980s when,
suddenly, a system largely restricted to lending for home mortgages was permitted to configure
its asset portfolio any way it wanted – to the point of holding no home mortgages. During the
early and middle-1980s many Texas thrift institutions expanded their liabilities and assets by 100
percent per year.
By contrast, despite steady financial liberalization during the 1990s, the relation between
asset rates and liability rates in Singapore shows little variation at all – a pattern consistent with
what takes place in Argentina during its 1995-1997 period of privatizations but by and large
inconsistent with what takes place during liberalization/privatization subperiods in the other four
countries of our sample.
C. Data
So as to maximize degrees of freedom, we used the most often-reported data available for
the applicable period for each country. Accordingly, the number of observations per year differs

15

among the six country models. Recall that the periods differ as well, inasmuch as we focus on
including subperiods that include bank liberalizations or privatizations and these events take
place at different times in different countries. The overall periods for each country are
delineated in Table I under the heading “Data Period.” The number of observations per year
appear under the heading “Frequency.”
What may be seen as liberalization/privatization subperiods, outlined in the section
above, are denoted as “Dummy Period.” However, we identified these subperiods by testing for
structural breaks in the overall periods that would allow us to determine where the β5 dummy
ought to begin and end.
It is important to note that these subperiods are not perfectly consistent with the actual
periods of liberalization or privatization. The Mexican privatization period, for example, began
in June 1991 and continued through July 1992. However, the subperiod where the break in λ
was large enough to motivate a dummy variable to account for it ran from December 1992
through December 1993. This disparity should not be surprising, considering that time typically
elapses between the purchase of a bank and when the new owners take control sufficient to run it
differently than management had before.
Other subperiods include 1995.IV-1997.I for Argentina, during which most bank
privatizations took place, and a nine-year Canadian period (1981-89) following Canada’s Bank
Act of 1980.9 Norway’s principal liberalizations took place starting with the removal of interest
rate controls in the second half of 1985, but the statistically defined liberalization subperiod only
begins in the first half of 1986. The Texas savings and loan liberalization subperiod runs from
1984.I-1990.II while Singapore’s is 1997.I-1999.IV. It should be noted that despite Singapore’s

16

liberalizations of the 1990s, no subperiod offered strong evidence of a break from previous levels
of competitive behavior.
The procedure applied here uses the intermediation model of a bank. This approach (see
Klein, 1971; Sealey and Lindley, 1977; Shaffer, 1993) treats the bank as using labor to acquire
deposits and additional labor plus deposits to generate assets. The measure of output (Q) is total
assets. The price of the output (P) is total interest income divided by total assets, i.e. average rate
earned on assets. This average rate of return will be affected not only by market lending rates but
by changes in the past-due loan ratio. The model requires not only output prices (P), but input
prices for deposits (W1 = the average interest rate paid on deposits, i.e. total financial costs/total
liabilities) and for labor (W2 total personnel expenditures/total personnel ).
In principal, a particularly appropriate substitute for banking services would be the
commercial paper rate in each country. Unfortunately, during the periods under study in each
country, data on such instruments were not available for most countries. Accordingly, in the case
of Mexico, we used the interest rate on 28-data cetes, or Mexican treasury bills. We applied rates
on three-month Canadian government paper for Canada, three-month Norwegian treasury
certificates for Norway and three-month Singapore Government Securities (referred to as SGS)
for Singapore. To make our approach to Texas as consistent as possible with other countries we
used the U.S. three-month treasury bill. In the Argentine case, due to a lack of a series even for
Argentine government paper rates for the period, three-month U.S. treasury bill rates were used
because of their close correlation with LIBOR rates. Use of this series in the Argentine model
provided the expected signs and hoped-for levels of significance in most cases.
As a measure of national output, an index of industrial production was used for Argentina and
9

We also tested as Argentina’s privatization period 1995.I-1997.I, so as to pick up twelve of the fifteen
privatizations instead (as with 1995.IV-1997.I) of eleven. The results were not substantively different from

17

Mexico since less-than-annual observations for GDP were not always available. We used GNP
for Canada, GDP for Norway and Singapore, and gross state product for Texas. For Argentina,
Canada, Mexico, and Singapore all nominal variables were deflated using the consumer price
index. For Norway we used the GDP deflator and for Texas we used the gross state product
deflator.

D. Estimation and Results
Table II presents estimation results for the risk-shift models of each of the six countries.
Our a priori expectations of the parameter estimates (ai for αi, bi for ßi) were mostly confirmed
by the results, but with exceptions, particularly the case of a2 <0 (four wrong signs Argentina,
Mexico, Norway and Texas out of six cases) and of a4 > 0 in the cases of Mexico, Norway and
Singapore (although Singapore was not statistically significantly different from zero.). Since the
demand curve is assumed to be downward sloping, the estimate of ∂Q/∂P = a1 + a3Z < 0 must
hold, as it did in all cases. As earlier noted, either a3 or a5 must be different from zero in order to
identify λ, a condition that was always satisfied in some form, although Canada , Norway and
Singapore were not statistically different from zero in their a3 values and Singapore was not with
respect to a5 . Our estimate of the parameter vector ß met with a priori expectations in the sense
that unexpected signs never were significant, although we held no a priori expectation on b5.
The systems of equations were estimated by the method of Full Information Maximum
Likelihood. This method assumes normally distributed errors. Initial parameter values for the
FIML estimation were supplied by first estimating the system by non-linear Three-Stage Least
Squares. The interaction variable YZ had to be omitted in the estimation because it was nearly
perfectly linearly correlated with the variable Z for Argentina, Mexico, Norway , Singapore,
characterizing the regime shift period as 1995.IV-1997.I.

18

Texas This was due to the small variation in industrial production that occurred over the period
of the sample. Therefore, in the reported results, there are no estimates for a6 for those two
countries although there are estimates for Canada, where GNP was used for Y.
Problems with multicollinearity remain in this sample. In particular, ln W1 is highly
correlated with Z, causing difficulty in estimating and making inferences on the parameter vector
ß. Nevertheless, convergence of the estimates was fairly rapid in all cases. The estimates also
appear to be robust relative to initial values of the parameter estimates.
For the purposes of this discussion, the most important results involve the coefficients of
λ, the variable that measures level of competitiveness, and of b5, the λ-related dummy variable
coefficient for the liberalization or privatization period for each of the six countries. Recall that
the value of -λ represents a typical bank's percentage deviation of output from competitive levels.
A -λ<0 signifies output below the competitive level while -λ>0 suggests that output for some
reason exceeds the competitive level.
With the exception of Texas, none of the banking systems’ λ values were significantly
different from zero. Texas registered a –λ < 0 (i.e. λ > 0) and significant, evidence of less than
competitive output, signaling uncompetitive or collusive behavior for the overall measurement
period. As will be discussed below, however, Texas’ turns out to have a negative and significant
b5 coefficient for its liberalization subperiod.
That the null hypothesis that λ = 0 could not be rejected at a reasonable level of
significance for the other five economies signifies that the average bank in each of them behaves
consistently with the competitive paradigm. That is, in none of the five remaining cases did the
average bank operate where marginal cost exceeded marginal revenue for its total observation
period. We tested the robustness of the results for other specifications, especially for log first

19

differences. The results are qualitatively unchanged if iterations converge.
The question remains, however, as to whether any of the six economies posted high-risk,
supercompetitive levels during their post-liberalization or privatization periods. Recall that in
examining the results for the post-liberalization or privatization period, the sign and value of b5,
the dummy variable coefficient, deserve particular attention. For such periods, instead of
equaling λ, the index of market power approximates λ + b5 and b5 is the difference of levels of
competitiveness between two periods. If b5 is negative and significant, the period for which the
dummy applies demonstrates a significant increase in the riskiness of bank behavior. Where λ is
not significantly different from zero, a negative and significant b5 suggests that supercompetition
characterized the liberalization/privatization subperiod
In sum, b5 signals whether or not a break into supercompetitiveness took place during the
liberalization/privatization subperiod. The signs of the b5 coefficients in Table II show that in
these sub-periods, the average bank in low depositor discipline countries as defined by the
coefficient on the past-due-loan-to-assets ratio in the six equations in Table I (Canada, Mexico,
Norway, Texas) may have pursued riskier behavior than outside these periods. However, only
the Canada, Mexico and Texas risk shifts were significantly different from zero.

III. A Connection Between Depositor Discipline and Breaks to Riskiness
Figure 2 graphically links depositor discipline with breaks to riskiness for the six
economies tested. To characterize the degree of depositor discipline, the horizontal axis
presents the t-statistic of the coefficient of the past-due-loans-to-total-assets ratio for the six
economies for which an equation appears in Table I, multiplied by minus unity. Because the
values are multiplied by minus one, the most significantly negative relation between the past due

20

loan ratio and deposit growth would be the farthest to the right on the figure, while the least
negative and significant relation between these variables would be the farthest to the left on the
figure. This configuration means that Argentina has the greatest degree of depositor discipline,
followed by Singapore. Mexico has the least depositor discipline, followed by Canada.
To characterize the structural break in the direction of supercompetitiveness, the vertical
axis presents the value of the b5 coefficient that appears in Table II. Recall that the more
negative an economy’s b5 is, the stronger its break to supercompetitiveness is. Conversely, the
more positive an economy’s b5, the less of a break towards supercompetition. By this measure,
with a value between –0.3 and –0.4, Mexico makes the largest break towards
supercompetitiveness during its privatization period while, with values of zero, Singapore and
Argentina do not make breaks toward supercompetitiveness at all. Recall that neither the λ
values of Mexico, Singapore nor Argentina are significantly different from zero, signaling that
Mexico did enter a supercompetitiveness episode while neither Singapore nor Argentina did.
The most important aspect of Figure 2 is the overall conclusion it allows – that by these
measures the less depositor discipline a country has (i.e. the farthest to the left the country is on
the figure) the more profound (i.e. farther below zero) is its liberalization/privatization period
break towards supercompetition.
Figure 3 reaffirms this relationship with t-statistics on both the x and y axis. As before,
the x-axis delineates t-values (again multiplied by minus unity) for the coefficients of the
depositor discipline variable PDL/TA for each of the six countries. In contrast to Figure 2,
Figure 3’s y-axis presents t-statistics for the b5 coefficient of each country. Here, the more
negative the t-value of the b5 the more significant the break towards supercompetition. By this

21

pair of measures as well, banking systems with less depositor discipline are clearly more prone
towards breaks into supercompetition, where marginal cost exceeds marginal revenue.

IV. Conclusion
We have tested the links between depositor discipline and the predisposition of banks to
break towards risky behavior in periods associated with bank liberalization or privatization. The
distinctions between what we test and what others test is important. We focus on depositor
discipline rather than the presence or not of deposit insurance because it is conceivably possible
to have depositor discipline with or without deposit insurance or other bank or depositor rescue
programs. Moreover, the presence of de facto depositor insurance is hard to identify. Some
countries (Korea in the 1990s, for example) did not in fact have deposit insurance de juris but
turned out to have it de facto or ex post facto. Our concern was not whether bankers had deposit
insurance but whether depositors were willing to punish them when their asset quality went bad.
More important, and more unusually, we tested to see if or when banks took risky
positions under some circumstances during liberalization or privatizations. From a policy
perspective, we considered this behavior by banks more important than whether or not they fell
into crises. Crises, after all, could be caused by a host of factors – some of which had nothing to
do with banks’ predispositions toward risk-taking. Therefore our examination – focusing on
depositor discipline rather than ex ante insurance, and on bank risk rather than bank crisis - is
much narrower in many senses than what is typical in similar work.
Our question was: Were banks without much depositor discipline more likely to take
risks than banks with depositor discipline. Certainly by the standards of Figure 2, the answer is

22

that they do. This finding is important because risk is something banks can take on their own,
regardless of what is going on in the economy.

23

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26

TABLE I
Deposit Growth and Asset Quality
In Six Nations

Constant

PDLi/TAi

Argentina

Canada

Mexico

Norway

Singapore

Texas S&L

-82.979***
(4.21)

5.041
(0.04)

-33.040
(1.21)

-16.217
(0.69)

1470.73**
(2.82)

0.205***

-1.120***
(3.72)

-0.800
(0.213)

-0.280
(0.07)

-4.805
(1.25)

-3.957***
(3.39)

**

EQi/TAi

0.942
(2.29)

-5.850
(1.54)

0.429
(0.12)

-6.614
(1.24)

0.750
(0.64)

TAi/TA

0.018
(0.02)

-0.563
(1.13)

-0.813
(0.83)

-0.808
(0.82)

1.709***
(2.98)

0.516
(0.88)

**

**

DEPi/Li

***

1.128
(4.49)

0.399
(0.33)

2.057
(2.40)

15.208
(2.86)

(0.083)
-0.617
(0.822)
0.262
(0.228)
-2.694
(4.026)
-1.625***

R

0.764

0.331

0.196

0.223

0.547

(0.469)
0.0134

Prob(FStat)
# of
Observati
ons
Period

0.0001

0.232

0.627

0.089

0.0134

0.0055

20

18

16

36

20

1995

1984-86

1995

1987-89

1997-99

2

1085
1984-1990

Note: the dependent variable is the percentage change in the inflation-adjusted deposit growth
rate of bank i. PDLi/TAi is bank i’s past-due loan as a percentage of total assets. EQi/TAi is bank
i’s equity capital as a percentage of total assets. TAi/TA is the bank i’s total assets over the sum
of total assets of the banks examined. DEPi/LI is bank i’s deposit as a percentage of total liability.
t-statistics in parentheses, based on approximate standard errors (***: significant at 0.01 level,
**: significant at 0.05 level, *: significant at 0.1 level)

27

TABLE II
Estimation of Equation (2’’) and (3’)
Argentina

Canada

Mexico

750979***
(3.86)
-23857842***
(4.55)
-7342***
(3.89)
-3373371***
(5.33)
133609***
(5.38)
243664***
(4.73)

-12211
(0.11)
-3020770***
(5.25)
0.56925
(1.27)
61863
(0.72)
9874
(0.76)
13.869***
(4.48)
-0.07015
(1.69)

425690
(0.74)
-38456010*
(1.89)
-156
(0.03)
1828469***
(4.19)
-186328***
(5.36)
460617**
(2.37)

6.89405***
(4.16)
-0.36894***
(4.09)
0.01051
(0.17)
0.39261**
(2.23)
0.00620
(1.25)
-0.00053
(0.24)

0.71310
(0.95)
0.01034
(0.26)
-0.06658**
(2.54)
-0.00272
(0.03)
-0.03563*
(1.95)
-0.00183
(1.08)

6.71503***
(2.91)
-0.35608**
(2.63)
-0.00144
(0.02)
0.37083*
(1.83)
-0.32464**
(2.57)
0.45874
(1.63)

Adj R2 (2”)
Adj R2 (3”)

0.770
0.959

0.971
0.995

0.700
0.969

# of
Observations

22

25

81

Data Period
Dummy Period
Frequency

91:q4 - 97:q1
95:q1 - 97:q1
Quarterly

65 – 89
81 – 89
Annual

87:Apr - 93:Dec
92:Dec - 93:Dec
Monthly

α0
α1
α2
α3
α4
α5
α6
≡β1
≡ β2
≡ β3
≡ β4
≡ β5
λ

28

Norway

Singapore

Texas S & L

460321***
(3.97)
-4381748***
(5.25)
-5071***
(4.08)
44693
(1.66)
-5973*
(1.88)
53617***
(4.48)

-78307***
(4.22)
-224519
(1.46)
3387***
(16.30)
2636
(1.33)
-720
(0.71)
6765*
(1.68)

613928***
(4.37)
-5237226***
(2.78)
-7959***
(5.64)
-583752***
(8.25)
46589***
(9.20)
90157***
(4.66)

5.45968**
(2.51)
-0.15084
(1.65)
-0.04003
(0.38)
0.36654**
(2.58)
-0.06319
(1.46)
-0.00085
(0.06)

0.02532
(0.01)
0.16889
(0.62)
0.59932***
(15.13)
0.03666
(0.19)
-0.00225
(0.91)
-0.07679
(1.62)

6.97687***
(6.20)
-0.32122***
(4.45)
0.04685
(0.42)
0.30577**
(2.60)
-0.15098***
(3.28)
0.15479***
(3.21)

Adj R2 (2”)
Adj R2 (3”)

0.876
0.862

0.956
0.932

0.763
0.487

# of
Observations

27

42

60

Data Period
Dummy Period
Frequency

80:II - 93:II
86:I - 90:II
Semi-Annual

91:q1 - 01:q3
97:q1 - 99:q4
Quarterly

84:q1 - 98:q4
84:q1 - 90:q2
Quarterly

α0
α1
α2
α3
α4
α5
≡β1
≡ β2
≡ β3
≡ β4
≡ β5
λ

Note: t-statistics in parentheses, based on approximate standard errors (***: significant at 0.01
level, **: significant at 0.05 level, *: significant at 0.1 level).

29

Footnote:
We tried to test the robustness of the results for other specifications, especially for log first
differences. The results are qualitatively unchanged if iterations converge.

30

Figure 1. Asset Interest Rates and Deposit Interest Rates

Argentina

Norway
10

5
ASSETINT
DEPOSITINT

4

8

DIFF
3

6

2

4

1

2

0

0

-2

-1
Dec-91

Jun-92

Dec-92

Jun-93

Dec-93

Jun-94

Dec-94

Jun-95

Dec-95

Jun-96

Jul-80

Dec-96

Jul-81

Jul-82

Jul-83

Jul-84

Jul-85

Jul-86

Jul-87

Jul-88

Jul-89

Jul-90

Jul-91

Jul-92

Jul-93

Singapore

Canada
20

16

16
12

12
8

8

4

4

0

0
1965

1967

1969

1971

1973

1975

1977

1979

1981

1983

1985

1987

1989

MAR1991 MAR1992 MAR1993 MAR1994 MAR1995 MAR1996 MAR1997 MAR1998 MAR1999 MAR2000 MAR2001

Mexico
Texas S & L

70
12

60
10

50
8

40

6

30

4
2

20
0

10

-2

0

-4

Jul88

Nov- Mar88
89

Jul89

Nov- Mar89
90

Jul90

Nov- Mar90
91

Jul91

Nov- Mar91
92

Jul92

Nov- Mar92
93

Jul93

Nov- Mar93
94

Jul94

*Asset interest rate was calculated using only loans considering the significant portion of asset included government securities in Mexico.

31

-6
MAR1984

SEP1985

MAR1987

SEP1988

MAR1990

SEP1991

MAR1993

SEP1994

MAR1996

SEP1997

Figure 2: Depositor Discipline and Shift Towards High Risk Behavior I
0.1

Singapore

0

Canada

B 5 -0.1

Argentina

Norway

Texas

-0.2

-0.3

Mexico
-0.4
0

0.5

1

1.5

2

t-stat
PDL/TA

2.5

3

3.5

4

Note: The proxy of depositor' s discipline is the t-statisitcs of the coefficients of PDL/TA in table 1 and the change of
competitiveness of the banks is measured by the coefficient B5 in table 2.

4.5

Figure 3: Depositor Discipline and Shift Towards High Risk Behavior II
2

Argentina

1

0

t-stat
-1
(B 5 )

Singapore

Canada

-2

Norway
Texas

-3

Mexico

-4
0

0.5

1

1.5

2

2.5

t-stat
(PDL/TA)

3

3.5

4

Note: The proxy of depositor' s discipline is the t-statisitcs of the coefficients of PDL/TA in table 1 and the change of
competitiveness of the banks is measured by the t-statistics of the coefficient B5 in table 2.

1

4.5