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UNPUBLISHED WORKING PAPER 1 What Determines the Financial Margins on the Credits that Commercial Banks and Development Banks Grant to the Private Sector in Mexico? Marco Alberto Huidobro Ortega Banco de México Av. 5 de Mayo # 1- 6th floor Col. Centro México, D. F., 06059 [email protected] Ernesto Sepúlveda Villarreal Banco de México Av. 5 de mayo # 1- 1st floor Col. Centro México, D. F., 06059 [email protected] September 7, 2010 JEL: G21, G28 Keywords : Banks, Bank Lending, Banking, Commercial Banks. ABSTRACT We identify, measure, and compare the factors that determine the financial margin of the loans that commercial and development banks grant to private businesses in Mexico. We use data on more than 313,000 records of loans by December 2007. We found empirical evidence of differences between the determinants of the financial margins of each type of bank. Our results suggest that the development banks, unlike the commercial banks, do not pursue an objective of profitability. Their most important contribution seems to be offering funds at concessionary rates to financial intermediaries with the purpose of raising the supply of credit in the Mexican economy. 1 The information, analysis, and opinions presented in this working paper are the sole responsibility of the authors and should not be attributed to Banco de México.
Transcript
Page 1: Huidobro&Sepulveda_2010

UNPUBLISHED WORKING PAPER1

What Determines the Financial Margins on the Credits that Commercial Banks and

Development Banks Grant to the Private Sector in Mexico?

Marco Alberto Huidobro Ortega

Banco de México

Av. 5 de Mayo # 1- 6th floor

Col. Centro

México, D. F., 06059

[email protected]

Ernesto Sepúlveda Villarreal

Banco de México

Av. 5 de mayo # 1- 1st floor

Col. Centro

México, D. F., 06059

[email protected]

September 7, 2010

JEL: G21, G28

Keywords: Banks, Bank Lending, Banking, Commercial Banks.

ABSTRACT

We identify, measure, and compare the factors that determine the financial margin of the

loans that commercial and development banks grant to private businesses in Mexico. We

use data on more than 313,000 records of loans by December 2007. We found empirical

evidence of differences between the determinants of the financial margins of each type of

bank. Our results suggest that the development banks, unlike the commercial banks, do not

pursue an objective of profitability. Their most important contribution seems to be offering

funds at concessionary rates to financial intermediaries with the purpose of raising the

supply of credit in the Mexican economy.

1 The information, analysis, and opinions presented in this working paper are the sole responsibility of the

authors and should not be attributed to Banco de México.

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2

1. Introduction

The purpose of this work is to identify, to measure, and to compare the main factors that

determine the financial margin of the credits that commercial banks and development banks

grant to the private sector in Mexico. By development banks, we refer to those banking

institutions that are mostly or totally owned by the government, the purpose of which is to

foster the development of specific sectors of the economy. 2

The literature that highlights the relevance of financial development in economic

growth is extended.3 So it is its branch that focuses on the study of the main obstacles that

restrict the access to bank financing and of government interventions in the credit market

designed to overcome such inefficiencies. More specifically, such literature presents a case

for government intervention as long as it tackles a well identified credit market failure. 4

Although the discussion about the specific way the government intervention should

be is a debate not yet solved, a common intervention observed in many countries, including

Mexico, takes the form of development banks. To reconcile this practice with the economic

rationality behind the existence of such financial intermediaries, however, they should

exhibit some characteristics that clearly distinguish them, at least in some aspect, from the

way private banks operate.

The Mexican experience with development banks is not recent. Through the 20th

Century about 15 development banks and at least 30 development funds were created,

although they all have not coexisted simultaneously. By the end of the year 2008 only six

development banks and five development funds existed. From them, Nacional Financiera

2 The specialized literature in development banking defines it in many different ways. See Levy et al. (2004) and IDB

(2005). 3 See, among others, Fry (1995), IDB (2004) and Claessens (2006). 4 According to several studies (e.g., Stiglitz and Weiss (1981), Stiglitz (1994), Beck et al. (2004), IDB (2004), and

Claessens (2006)), this kind of government intervention might be justified as long as it mitigates the market failures that

restrict the access to credit. See also Fry (1995).

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3

(Nafin), Banco Nacional de Comercio Exterior (Bancomext), Financiera Rural, and

Fideicomisos Instituidos en Relación con la Agricultura (FIRA) are the main responsible

for procuring bank financing mainly to small private corporations and individual producers

in Mexico.

For years the role of these financial institutions as promoters of the access to bank

financing by private persons and corporations has been questioned. Werner (1994), for

example, suggests that they operate to mainly grant credit to government corporations.

Armendáriz (1999) argues that some of these institutions do not share information, as they

should, to foster more financing from private banks to the private sector. More recently,

Benavides and Huidobro (2009) did not find evidence that such intermediaries facilitate

that the private banking system caters for new customers.

Following this debate, Cotler (2000) points out that if the development banking

system was allocation resources to sectors that suffer from low access to the credit of the

commercial banking system, it should be possible to detect the presence of significant

differences between the debtors from both systems. In the absence of any difference, the

character of development banks as a governmental response to ameliorate market failures

would fade. More specifically, if the development banks were simply replicating what the

commercial banks do, by definition, they would not be promoting neither a larger access,

nor increasing the efficiency in the credit market.

The empirical studies on the Mexican banking system, in addition to be scant, do

not offer elements to evaluate such differences. With this paper, we attempt to fill this gap.

To do so, we start putting forward the following hypothesis:

There are not relevant differences in terms of the characteristics of the debtors or

their loans between commercial banks and development banks in Mexico.

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To test this hypothesis we focus on the analysis of the financial margins that the

Mexican banks charge on the loans that they grant. The relevance of studying the

determinants to the financial margins of the credits in each type of bank becomes clear

when we recognize that, in general, the development banks charge lower margins on their

loans than their counterparts in the private sector, yet it is not obvious why they do it.

Moreover, it is not clear whether the smaller financial margins that the development

banks charge respond to a strategy to minimize a market failure, such as the existence of

monopolistic structures, or to pursue social purposes, as achieving a better financial

inclusion.5 Maybe it is because these governmental financial institutions do not have

incentives to raise their profitability, or because they do not accomplish adequate risk

analyses, or because they obtain funds at lower interest rates, or because they lend to lower

risk debtors —those with collateral or guaranties—than private banks do, or else, because

they simply serve political interests. We do not know.

Levy et al (2007) state that: ―.the finding of profitable public banks may be

signaling the failure of the incentive scheme rather than its success. Pressures for

profitability… may induce public bank managers to deviate from their social mandate and

mimic private banks in their credit allocation criteria, in what Augusto de la Torre calls

Sisyphus syndrome. If so, public banks, although efficient, would become redundant.‖ A

possible way to test if government banks replicate the profit-maximizing credit allocation

criteria followed by private banks is comparing the way their financial margins react to

changes in the same set of loan and borrower’s characteristics.

In order to identify the main factors that determine the financial margin of the

credits that commercial banks and development banks grant to the private sector in Mexico,

5 See Sapienza (2004).

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we use a multiple regression model with interactions. Following Suwanaporn (2003) and

Sapienza (2004), the financial margin (net interest revenues) is set as the dependent

variable. The characteristics of the credit (e.g. the type of lender institution, the existence of

collateral, and the purpose of the loan, among others) and the characteristics of the debtor

(e.g. whether he is a person or a corporation, his size, his economic activity, etc.) are the

explanatory variables.

We do not know any other study that uses such a rich micro database on bank

lending in Mexico as the one we use in this paper. We use hard data on more than 313,000

records of credits granted by private banks and development banks in Mexico in the year

2007, and more than 319,000 in 2008. The information has national coverage and

comprises credits to corporations, persons with business activity, and government entities.

It covers productive activities inside the agricultural, mining, manufacturing, industrial,

trade, services, and financial sectors.

The remaining of the paper contains four sections. In the second section, we

describe our database and explain the characteristics of the variables that will be included in

the econometric model, as well as the various adjustments that it was necessary to make the

database usable for our purpose. In this section, we also present a brief description of the

correlations among the variables and their ANOVA. In the third section, we present the

specification of the empirical model and the results we obtained. In the fourth section, we

present an exercise that verifies the robustness of the parameters estimated in the third

section. Finally, in the fifth section, we devote some paragraphs to sum up the obtained

results and to explain our findings and their implications.

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2. Data base, variables, correlations, and ANOVA

Data base and variables

The data used in this work come from the Reporte Regulatorio R04C (R04C) of the

National Banking and Securities Commission (CNBV), which captures information about

the commercial credits, that is, credits granted by private banks and development banks to

persons with business activity and corporations in the private sector, as well as to

government entities.

The records of this database come from 61 financial intermediaries: 53 commercial

banks and 8 development banks. A total of 1,695,646 individual credit entries were

included in December 2007. Of these, 43.6% corresponded to the commercial banking

system (739,266) and 56.4% (956,380) corresponded to the development banking system. It

should be noted that 98.3% of the records of the development banking system were granted

by one financial institution, Nafin, while 80.7% of the records of the commercial banking

system were granted by four large financial institutions. The above reflects the relatively

high level of concentration of the banking lending activity in Mexico.

Our database offers the advantage of enabling us to disaggregate some of the

characteristics of the debtors, and of the credits, that the Mexican banking system grants to

the private sector. In particular, it allows us studying the influence of these characteristics

on the financial margins of the credits.

We decided to use December 2007 as our baseline period for four reasons. First, the

quality of the information has improved continuously from the appearing of the first

records of this database in June 2001. The more recent the information, the better is its

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quality and reliability. Secondly, the data reported to December are more reliable than the

data reported to any other month since, in order to be about the closedown of a calendar-

year experience, the information is subjected to scrutiny on behalf of the authorities, of the

investors and, also, of external auditors that diagnose the annual accounts of the banks.

Thirdly, December 2007 also offers the larger possible number of records of credits in the

period 2003-2008. Commercial credits registered a continuous expansion from 2003 to

2007, in the number of credits, in the outstanding amount, and as a percentage of the GDP.

Then they contracted around 8% in 2008, by the time the financial international crisis had

impacted the Mexican credit market (see Figures 1, 2 and 3).6 Finally, the data of December

2007 also offer the larger number of records of credits to micro debtors, which are a part of

the population targeted by the development banks.

In short, for the intentions of this study, December 2007 is a better period of

analysis than December 2008, and any other December from the previous years, since it

offers a larger number of total observations, and it includes a larger number of micro

debtors.7

The R04C Report was not designed for accomplishing economic research but to

regulate the banks. Because of this, it was necessary to refine the information to get a useful

database to estimate our econometric model. The first step was eliminating from the

original database the observations that were not relevant for this work. Table 1 describes

the observations that we removed.

Because the credits granted under a ―fixed interest rate formula‖ better reflects the

bank’s risk assessment of the debtor than the credits granted under a ―variable interest rate

6 See Banxico (2009.a, pages 82-90). 7 At this point, there is not available data for December 2009.

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formula‖, the second step was discarding the latter (around 23.4 % of the observations). We

kept 1,219,589 credit records after we applied this filter.

It is important to make it clear that ―fixed interest rate formula‖ does not necessarily

mean that the interest rate charged by the bank keeps constant during the whole life of the

credit. What it means is that the determination of the rate follows a fixed formula during the

life of the credit. This fixed-interest-rate credit contracts facilitate the comparison among

the credits in terms of the risk assigned by the bank, regardless of another variables implied

by the level of the interest rate. Using the fixed-interest-rate-formula criteria also facilitates

the comparison of the credits in terms of the interest revenues that the banks obtain from

each type of credit.

The third step was eliminating the 676,172 records that corresponded to

withdrawals made to a single credit line granted by Nafin to the Trust Fund for the Savings

of Electric Power (FIDE). The FIDE is a fund that was created by the Mexican government,

through the Ministry of Energy and the Federal Commission of Electricity, in order to

foster the efficient use of the electric power in the country. This fund offers financing for

substituting old equipments and electric appliances in corporations and homes. Therefore,

since the FIDE is in reality a financial intermediary of the government, its credit records

were removed from our database. Our sample decreased to 543,417 entries with this

adjustment.

The fourth and last step consisted in avoiding duplicate records of credit. To do this,

we detected and grouped the balances of those credit entries that showed the same

characteristics in terms of the debtors and in terms of the characteristics of the loans. Even

though this measure cannot perfectly prevent the double counting of credits, it was very

useful and makes sense because in many cases the debtors have a credit line from which

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they accomplish various withdrawals, and our database initially registered each withdrawal

as an independent credit. Nevertheless, all the records that showed any difference in terms

of the interest rate or any other characteristic of the loan, except relating to the balance,

were considered as different credits.

After the steps described above were undertaken, we ended with a sample of

313,985 observations: 307,313 credits of the commercial banking system and 6,672 credits

of the development banking system. Table 2 presents this information sorted by the size of

the debtors.

Table 3 explains the variables that we use to estimate our empirical model. From

our refined database, we constructed five variables. The first variable is the financial

margin (margin). This variable is calculated as the difference between the interest rate for

each credit and the average cost of funds for each type of bank. Notice that margin

constitutes a variable that encloses more information than the simple lending rate, since it

gives an indication on the profitability of every credit for the bank.

In the calculation of margin, we used the average cost of funding for each type of

bank, instead of the inter-bank overnight interest rate (TIIE), which better represents the

lending opportunity cost for the whole bank system. We did so because, for the purposes of

this study, it is important to detect any difference between the financial margin of the

credits granted by the development banks and those granted by the commercial banks. The

differences result, to a large extent, because the development banks, in fact, obtain funds at

a higher cost than commercial banks do. The private banking system raises funds cheaper,

mostly because they have a large network of branches to receive deposits from the public

while development banks hardly have this facility.

When using the TIIE as the financing cost for both types of banks, we might gain in

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terms of getting a better indicator of the opportunity cost for the banks; however, we lose in

terms of the missed information about the different funding conditions each type of bank

faces. Besides, if we calculated the financial margin using the TIIE, the exercise would be

reduced practically to use the lending rate of the credits, what subtracts valuable

information from the analysis.8

Another variable that we constructed was the purpose of the credit (purpose). With

this variable, we tried to group the different purposes of the credits in categories according

to the nature or the aim of the loan, which normally is related to its maturity. For example,

a credit with the purpose to finance working capital is often a short term loan. In like

manner, a credit with the purpose to develop infrastructure has often a long term horizon.

From the locality where the debtor's domicile gets registered, we constructed the

variable location (location), which indicates if such locality is considered rural or urban.

Rural areas are those with a population no higher than 15,000 inhabitants.

We calculated the age of the debtors (age) as the difference between December 31,

2007, and the date read on the Federal Taxpayers' Registry (RFC) of the debtor, which

usually corresponds to the day when the person or the corporation was born. Finally, the

term of every credit (term), was computed as the difference between the expiration date of

the credit and the date when the first withdrawal of the credit took place. Both variables are

measured in days.

8 The results that came out from the estimation of the model when the variable margin was calculated from TIIE were

qualitative similar to the presented results.

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Correlations and ANOVA

The lower triangle of Table 4 presents the correlations among all variables in

December 2007. Even though all the correlations proved to be statistically significant, the

more intuitive interpretations seem to be the ones between the variable margin and the

others. Although it is true that a second variable that yields interesting relations with the

others is term, it does not pose the same attractiveness as margin, since the greater part of

the bank credit in Mexico is granted for relatively short periods (up to five years). Notice

also that term and purpose are among the variables that produce the higher correlations

with other variables. Not surprisingly, between these two variables a high correlation is

detected.

The first interesting result is that the variable margin maintains a negative relation

with size (-0.406) as the theory predicts: larger debtors pay lower interest rates. And more

important, margin shows a positive correlation with bank (0.209), which means that

commercial banks charge higher financial margins on their loans than development banks.

When the debtor offers collateral, or when it is a corporation, the financial margin

tends to diminish, as their correlations suggest: -0.584 y -0.623, respectively. From here we

could think that, perhaps, banks perceive that a debtor that offers collateral is less risky than

a debtor who does not, and they also perceive that corporations are less risky than persons.

Two variables that seem to have a modest effect on financial margins are age

(-0.095) and balance (-0.042). These might suggest that, although the coefficients are

statistically significant, the age of the debtor and the standing amount of the credit barely

improve the risk assessment performed by banks.

The correlations indicate that, inasmuch as the debtors dedicate themselves to

activities that go from the primary sector (agriculture and mining) to the secondary

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(manufacturing and industry), and from this to the tertiary one (trade, services and financial

services), the financial margin tends to increase (0.486). This phenomenon that seems

contrary to intuition can be the result of two reasons. On the one hand, most of the credits

granted to the agricultural sector (132,415 out of 133,457) were conceded by the

commercial banking system with second-tier funds either from FIRA or from Financiera

Rural. In other words, those credits were granted with government resources at

concessionary interest rates, although the final interest rate and the financial margin are

generally determined freely by the private bank.9 In addition, 132,682 of the agricultural

debtors offered some type of collateral. In fact, in December 2007, the agricultural sector

concentrated 81.2% of the total of collateral-backed loans (see Table 5).

With independence from the foregoing, it is reasonable to expect that activities like

trade and the services were relatively riskier than manufacturing or the industry, in part

because they are sectors that offer few guarantees.

Additionally, it seems that when the debtor is located in an urban area, when the

term of the loan is relatively length, or when the purpose of the credit is associated with

longer-term activities, financial margins diminish (correlations of -0.191, -0.531, and

-0.510, respectively).

In order to check thoroughly possible differences in the financial margins charged to

the credits, in Table 6a we present the Analysis of Variance (ANOVA) of all variables.10

9 As of December 2007, 131,846 out of the 133,445 records of credits granted by commercial banks to the agricultural

sector corresponded to micro debtors; the development banking system only reported seven micro and five small loans to

agriculture. This is natural given that, at the time, there does not exist a government first-tier bank financing the primary

sector. Notwithstanding FIRA and Financiera Rural channel second-tier funds to this sector. 10 Analyses based on ANOVA show several statistical limitations and that is why it is often preferred to use the

Multivariate Analysis of Variance (MANOVA). However, in this work it was not possible to use MANOVA because the

number of independent variables (10) and all the categories inside them (51) produced memory and cells requirements

(263,424 cells) beyond the limits of the statistical package employed [Statistical Package for the Social Sciences (SPSS)].

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Once the existence of differences between the means was verified, we undertook the

Scheffé test to accomplish comparisons for all possible pairs of financial margin means.

It can be appraised that the economic activity of the debtor, the purpose of the credit

and the age of the debtor do not evidence the theoretical pattern expected. That is to say,

the coefficients do not show a negative, positive and negative effect, respectively, on

financial margins.

Therefore, perhaps for the arguments exposed above (the availability of government

preferential funds and collaterals), the agricultural sector enjoys the lowest financial

margins, very closely followed by the debtors of the financial sector, who pay financial

margins only 0.1 percentage points higher. From then on, in a way consistent with what

was detected in the correlation analysis, financial margins keep on growing as debtors

belong to primary, secondary and tertiary sectors. Trade and the services are the ones that

pay the higher average margins (7.3 and 8.5 percentage point, respectively).

In regards to the variable purpose, it is observed than the loans with purposes

associated to medium and long-term activities obtain lower margins than the credits that

back up short-term intentions. Relating to the variable age, the youngest debtors, with ages

up to a year, obtain the lowest margins, followed by the creditors in the 10-to-15-years-old

group.

The data indicate that the micro debtors face higher average financial margins in

7.4, 6.1 and 7.7 percentage point than the small, medium and large debtors, respectively. As

to the variable term, the banks charge on the average higher financial margins to the short-

term loans than to any other one. That way, the higher margins are applicable to the periods

from one to two years; followed by the credits granted up to a year. From then on,

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excluding the credits in the 10 to 15 years term, financial margins diminish consistently as

the term of the loan increases.

The data seem to give sustenance to the idea that financial margins tend to diminish

when the banking institution belongs to the government, when the debtor offers a collateral,

when the debtors is a corporation (versus a person), and when it is located at urban zones.

Obviously, the most important difference for the purpose of this study is the one that arise

from the type of bank.

3. Model and Results

Our base model is a multiple linear regression model with 11 variables, of which seven are

qualitative and five are quantitative. The dependent variable is margin, which is

quantitative. From the independent variables, size, bank, collateral, person, activity,

location, and purpose are qualitative, and age, term, and balance are quantitative.

We chose this model for several reasons. First, we chose it because of its simplicity

and intuitiveness. Secondly, because the literature does not propose a better alternative. 11

Thirdly, because the result from the MWD test suggests that the linear model is at least as

good as the logarithmic-linear model. And fourthly, because the Ordinary Least Square

estimation is adequate for a cross-section database. Even though we found a

heteroskedasticity problem, it did not represent a serious obstacle to estimate the

parameters of the model.

Nevertheless, in order to allow for the possibility that some nonlinearity could

emerge between variables, further on we modify our base model. This nonlinearity is

11 Our proposed model shows similarities with those of Aportela (2001), Van Hemmen (2002), Suwanaporn (2003),

Galindo and Micco (2003), Sapienza (2004), and Beck and Demirgüc-Kunt (2006).

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captured through interactions between pairs of the explanatory variables; specifically,

between the variable bank and the others, taken one at the time. Notice that it is precisely

from the estimate of these interactions where the empirical evidence to verify our working

hypothesis comes from. The estimation of these interactions constitutes a convenient

method to draw comparisons of the way commercial banks and development banks

determine their financial margins.

The following equation represents our base model:

,

0 1 2 3 4 5 6

7 8 9 10

margin β β size β bank β collateral β debtor β age β activity

β location β term β purpose β balance u

(1)

where i (with i = 0,1,2,3…10) are the parameters to estimate by means of OLS.

All the estimated parameters proved to be significant at 99% of confidence. The

F-statistic also was pretty high (88,269), which mean that the explanatory variables, as a

whole, are statistically relevant to explain the variable margin. The adjusted R2 indicated

that the model explains 73.8% of the variations in the dependent variable. The signs of the

parameters in general gave results according to what the theory predicts, as we will discuss

ahead.

Although we did not detect the presence of multicollinearity, we found evidence of

heteroskedasticity. In order to take care of this problem, we practiced two independent

corrective measures. First, we estimated the heteroskedasticity-robust statistics of

equation (1). Second, we re-estimated this model by the method of Weighted Least Squares

(see Table 7a).

In regard to the first measure, it turned out that all the robust parameters resulted

statistically significant at 99% of confidence, so the problem of heteroskedasticity did not

seem to be very serious. Then we estimated the model by WLS, using alternatively as

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weights the three quantitative variables (balance, term, and age). Again, all the estimated

parameters proved to be significantly different from zero at 99% of confidence. They were

pretty similar under the three mentioned specifications, and their signs did not change.

Since the estimation using the variable balance as the weight was the one that yielded the

best goodness of fit (0.734), it was the one we choose.

The results reported in the column II of the Table 7a are very similar to those

obtained through the estimate by OLS. Therefore, the negative effect of the presence of

heteroskedasticity in our model seems to be negligible. Based on the estimated parameters,

it can be said that:

a) The type of bank seems to be the variable that influences the most in the

determination of the financial margins that debtors pay. The debtors of the

private banking system pay considerably higher financial margins than those

financed by development banks. This could be consistent with what Kane

(1975) and others state: that government banks should offer financing at

preferential interest rates.12

However, part of the literature claims the

opposite.13

b) The type of debtor also seems to have an important influence on the financial

margin. When the debtor is a corporation, the financial margins decrease. This

finding is consistent with the idea that corporations are often considered as

12 IDB (2004), Grupo DFC (2002), United Nations (2005), and Stiglitz (1994). 13 McKinnon (1973), Benavente et al. (2005), Fouad et al. (2004), Fry (1995), Rojas and Rojas (1999), World Bank

(2008), Gale (1990), Bosworth et al. (1987), Aportela (2001), Sapienza (2004), Kane (1977), Raghavan and Timberg

(1982), and Cotler (2008).

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17

lesser risky debtors than persons, or perhaps that in the case of the corporations,

the problems of asymmetric information are relatively less pervasive. 14

c) According to our model’s results, the size of the debtor plays a relevant role on

margin as the literature indicates. As the size of the debtor increases, the

financial margin decreases. They might be reflecting a higher risk perception in

small-size debtors.

d) Another factor that seems to have importance on the financial margins is the

purpose of the credit. Our results indicate that short-term credits (working

capital, sales, etc.) are more expensive than long-term credits (infrastructure,

fixed capital or imports).

e) The next most important factor that contributes to the determination of the

financial margin is the existence of collateral to support a loan. When there is

collateral, the financial margin falls, a result that is consistent with the

literature. 15

f) The economic activity of the debtor modestly influences the financial margin of

the loans. Estimates indicate that the debtors of the primary sector pay the

lowest margins, followed by those dedicated to industrial activities. The debtors

in the sector of services pay the highest margins.

g) The rest of independent variables, that is, age, balance, term and location, are

statistically significant, but they have minor impacts on margin. Indeed,

estimates suggest than the financial margin is too little sensitive, although with

the theoretically correct signs, to these four variables. Increases in the age of the

14 Akerlof (1970), Stiglitz (1994), Craig and Thomson (2004), Hallberg (2001), Stiglitz and Weiss (1981), Benavente et

al. (2005), Ponssard (1979), Vives (1990), IDB (2004), Levy et al. (2007), and Negrín (2000). 15 IDB (2004), Stiglitz and Weiss (1981), Bester (1985), Benavente et al. (2005), Rodríguez-Meza (2004), De la Torre et

al. (2007), Gelos and Werner (1999) and Voordeckers and Steijvers (2006).

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18

debtor or in the balance of the credit cause on margin a decrease; at the same

time, margin increases with the term of the credit. The estimated parameter for

location shows that the urban debtors pay smaller financial margins than rural

debtors.

The estimated parameter for age could give support to what Beck et al. (2006) and

other state, i.e. that younger debtors (many of which are small size) confront more

problems to obtain banking financing. 16

The effect on margin from variations in balance proves to be much lower than what

some authors anticipate. We may have obtained this result as a consequence that most of

the bank loans in Mexico are short-term; therefore, their average balances are relatively

small, so they exhibit a limited range of variation.

In regard to the estimated parameter for the variable term, the positive sign could be

understood as a higher perceived risk associated to longer term loans.

Interactions between the explanatory variables and the type of bank

Because the most important differences detected in the financial margins are explained by

the variable bank, and because our hypothesis relies on such differences, it is crucial to

analyze the interactions between bank and all the other explanatory variables of the model.

Therefore, we estimated —using WLS— nine models that are similar to our base

model, except for that each of these models contains an additional explanatory variable.

This variable is the interaction between ―bank‖ and the other independent variables ( i ),

taken one at the time. Equation (2) shows these models:

16 Saurina and Trucharte (2004), Sapienza (2004) and Beck et al. (2006).

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19

11 ,

0,i 1,i 2,i 3,i 4,i 5,i 6,i

7,i 8,i 9,i 10,i ,i

margin α α size α bank α collateral α person α age α activity

α location α term α purpose α balance α bank i v (2)

where 1,3,4,5,6,7,8,9,10i (remember that 2i refers to the variable bank).

In Table 7a the columns III to XI exhibit the estimated parameters of the nine

models. Most of them are significantly different from zero at 99% of confidence —

including the correspondent interaction coefficients— and the goodness of fit is high in the

nine specifications.

Now, for illustrative purposes, consider the effect on margin of the variable size and

its interaction with bank. Both effects are expressed by equation (3):

1.004 15.53 2.344 ,margin size bank bank size (3)

where margin refers to the absolute change in ―margin‖. Based on the above equation,

and the estimated parameters, it follows that when the lender is a development bank

(bank=0), the financial margin diminishes in one percentage point if the size of the debtor

increases to the next higher category. Similarly, when the lender is a commercial bank

(bank=1), the financial margin is reduced by 3.3 percentage point by each increment in

size. This means the financial margins set by commercial banks are more sensitive than

those set by development banks with respect to the size of the debtor.

This does not mean, however, that commercial banks charge lower margins than

development banks. On the contrary, they charge higher margins to all size of debtors.

They charge 15.5 percentage point more to micro debtors (size=0),17

12.2 percentage point

more to small debtors (size=1), 8.9 percentage point more to medium-size debtors (size=2),

and 5.6 percentage point more to large debtors (size=3) than development banks do.

17 In December 2007 the average financial margin applied by development banks to micro debtors was set in five

percentage points.

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20

Following the same sort of analysis, it can be shown the effects of the interaction

between bank and the rest of the variables. When the creditor is a development bank, the

debtors that offer collateral to support their loans pay a larger financial margin, in

approximately 0.5 percentage point, than those that do not. This result looks contrary to

intuition. In principle, it would be expected that the availability of collateral reduce the risk

in a credit, and this should be reflected in the form of smaller margins. Nevertheless, this

result might be biased, as only 17 out of more than 6,600 debtors, from the loans granted by

the development bank in our database, had guaranty. When the creditor is a commercial

bank, the debtors that offer collateral pay a smaller financial margin in approximately one

percentage point. However, commercial banks charge higher financial margins than the

development banks to a debtor with and without collateral, in 11.7 and 12.8 percentage

points, respectively.

Our estimates also point out that in the loans granted by development banks,

corporations pay a financial margin 7.2 percentage points smaller than persons. This might

be because corporations could be perceived lesser riskier than persons.18

The same thing

happens in the credits granted by the private banking system; persons pay a margin of 4.4

percentage point higher than corporations. Again, the financial margin charged by

commercial banks is superior to the one charged by development banks.

According to our calculations, development banks reduce their financial margins in

0.2 percentage point for every ten additional years in the debtor’s age, while the

commercial banking system reduces it in 0.03 percentage point. The above implies that the

age of the debtor is not an important factor in the determination of the financial margin of

18 However, the small number of persons financed by development banks (only 54) may bias this result.

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21

the banks. The reason for this negligible significance might be that most of the debtors in

our database where 20 or more years old.

The evidence we found points out that when the lender institution is a development

bank, the financial margin rises in 0.2 percentage point with every category that the

economic activity of the debtor increases towards more sophisticated activities, that is, as

they pass from the primary sector to the tertiary. On the other hand, the commercial

banking system also increases the financial margin with the mentioned changes, but in 0.6

percentage point.

Development bank’ urban debtors pay a financial margin 1.7 percentage point

above the one that their 87 rural debtors pay. As for the private banks, it was found that

their debtors pay the same margin no matter where they are located.

Development banks increase their average financial margins in 0.4 percentage point

with every additional year in the loan’s term, while the private banking system does not

respond to this variable. The reason behind this result might be connected to the fact that

most of the credits in Mexico are granted to relatively short terms (up to five years).

Government-owned banks apply an additional 1.4 percentage point to the financial

margin to the loans which purposes are related to longer term aims or nature (such as

infrastructure, machinery, investments, etc.) versus those purposes connected to more

immediate intentions (working capital, sales or inventories financing, etc.). Faced with the

same circumstance, the commercial banks diminish its financial margin by 3.3 percentage

point.

Notice that the financial margin of neither type of bank reacts importantly when the

balance of the loan rises: the development banks increase its margin in 0.8 percentage

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22

points, and private banks reduce it in 0.3 percentage points, with every 10 million pesos

increase in the loan’s balance.

4. Robustness

Do the relations between margin and the independent variables that we presented in the

previous section hold through time? This question is relevant, principally because, as we

mentioned previously, our estimates are based on cross-section data. In order to answer it,

we re-estimated our model but this time with data to December 2008.

Before presenting our results we should make a warning. To December 2008 the

financial international crisis had already broken out and the Mexican economy had begun

to suffer its effects.19

Similarly, the bank credit to the private sector in Mexico began to

change its composition. When comparing our database in December 2007 and December

2008, we observe three main differences:

1. The total number of credit transactions of both, commercial and development

banks, diminished due to the crisis. Nevertheless, once the correction to the

database that we explained to in section II was made, we got a total of 319,555

records in December 2008 (see Table 2). This figure is 1.8% larger to the one of

2007.

2. Not only commercial banks but also development banks moved away from

lending to micro-debtors and extended their lending to large and medium-size

debtors.

19 See Banxico (2009.b).

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23

3. Perhaps because the costs of funding increased, the average of the financial

margins of the Mexican banking system decreased in 0.4 percentage point,

which, ceteris paribus, implied a lowered profitability for the banks.20

The procedure to estimate the model for 2007 was followed suit in 2008. After estimating

the model in OLS, we discarded the presence of multicollinearity between the variables, but

we found the presence of heteroskedasticity. Therefore, we re-estimated the model

described by equation (1) using WLS. Likewise, because the higher adjusted R2 again

corresponded to the specification in which we used the variable balance as the weight, we

selected this specification to go on with the analysis. The main results can be seen in the

column II of Table 7b and are the following:

In December 2008 most of the estimated parameters were significantly different

from zero at 99% of confidence, except for the coefficients related to the

variables location and term, whose statistical significance decreased to 90% of

confidence. Furthermore, it stands out that, except for the variable location, no

changes in the signs of the parameters were registered in spite of the crisis.

We constructed the t-statistic for each parameter estimated with the data from

December 2008 under the null hypothesis that they were equal to the parameters

estimated with the data from December 2007. With this test, we verified that,

except in the cases of the variables age, term and balance, as the crisis hit, the

20 From December 2007 to December 2008 the average cost of funding increased roughly one percentage point for

commercial banks and 0.7 percentage point for the development banks, so their average costs of funding ended this period

at 7.2% and 8.3%, respectively. Notice that the cost of funding of the commercial banking system increased more than the

cost of funding of the development banking system. However, the commercial banking system reduced its average margin

(in 0.4 percentage point) less than the development banking system (0.5 percentage point).

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24

importance that the Mexican banking system gave to the other independent

variables in order to determine its financial margins was modified.

We observed a higher value for the constant, which could seem contrary to the

fact that, on the average, financial margins decreased. Nevertheless, such

increase could be a consequence of a change in the slope of the function of the

variable margin, which degree of response to some of the independent variables

of the model probably changed.

One of those variables for which margin probably changed its degree of

response is collateral. The estimated parameter for it almost tripled, what

suggests that, under a less favorable economic environment, the banks became

more sensitive to whether the debtor had any guaranty to support its loan or not.

In short, some of the estimated parameters of our model were modified in 2008, but

that did not change the sign of the relations among variables that we found out in the

previous section. That is why, in principle, our model seems to be robust in time. However,

of greater importance is to verify that the relations derived from the model with interactions

were still present by the end of 2008.

The results of the re-estimation of the equation (2), with the data as of December

2008, appear in the columns III to XI of the Table 7b. Next we briefly comment them:

The parameters associated to the variables location and term were practically

the only ones that proved to be little or negligible significant in statistical terms.

This result suggests that in 2008 the financial margins that the Mexican banking

system charged for its credits were not very different between urban and rural

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25

debtors; neither they were very different among distinct terms of the loans, as

we mentioned in the previous section.

It continues to be valid the assertion that the financial margins that the

commercial banking system applies to credits are always much higher than the

financial margins of the development banking system.

In regard to the size of the debtor, for each category that increases the size the

financial margin decreases 3.1 percentage point if the lender is a private bank

and 0.7 percentage point if it is a development bank. Therefore, commercial

banks’ margin continues being more sensitive than government banks’.

Unlike development banks, commercial banks continued on rewarding, all the

more than in the 2007, when debtors offered collateral by reducing their

financial margins. In 2008 the commercial banking system collected a financial

margin of 9.4 percentage point to debtors that did not pledge collateral, but such

margin was reduced to 4.7 percentage point if there was a collateral to support

the loan (in 2007 the decrease was slightly above one percentage point).

The financial margin of the commercial banks in 2008 was lower for

corporations and higher for persons than in 2007. Therefore, in 2008 the margin

gap between corporations and persons widened in comparison to 2007 (4.2

versus 4 percentage points, respectively). The development banking system

charged 1.4 additional percentage points in the financial margin to corporations

versus persons in the 2008; in 2007 it rewarded the corporations with 7.2

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26

percentage points lower than persons. This is the first qualitative difference we

found between both years.21

As in 2007, in 2008 the applicant's age was not an important factor in the

determination of the financial margin for neither type of banks.

Similar to 2007, in 2008 the commercial banks and the development banks

increased their financial margins as their debtors dedicated to more

sophisticated activities, that is, as they moved from the primary sector to the

tertiary sector. However, while commercial banks reduced the marginal

increase (from 0.6 to 0.3 percentage point), the development banks increased it

(from 0.2 to 0.4 percentage point).

Furthermore, the relations between margin and location observed in 2007

continued in 2008. They only changed somewhat in quantity: the urban debtors

of the development banks paid a financial margin one percentage point higher

to the one that rural debtors paid; the year before the difference was 1.7

percentage point. The rural and urban debtors of the commercial banks

continued paying roughly the same margin.

In 2008 the variable term stopped being relevant to development banks; in 2007

these banks slightly increased margin as the term of the loan increased (0.4

percentage point for every additional year). The private banking system

continued charging the same financial margins without making any difference

in response to different loan terms.

21 This result could be statistically more significant than its equivalent in 2007 as the number of financed persons by the

development banking system increased from 54 to 384. Besides, many of the firms that obtained credit from the

development banking system in the end of 2008 had severe liquidity problems due to the crisis, so it might be said that a

higher risk explains a larger margin.

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27

From 2007 to 2008 the estimated effect of variations in ―purpose‖ on the

financial margins collected by development banks changed from 1.4 to -0.5

percentage points. In other words, in the latter year the government banks

charged a lower margin to the credits whose aim was targeting projects of

longer maturity, when in the former year it was just the opposite. This is the

second qualitative change that we found. The commercial banking system, on

its part, only moderated the reduction in its average margin, from 3.3 to 2.3

percentage point.

Finally, the effect of balance on margin only suffered minor changes in

magnitude for both types of banks: in 2008, the government banking system

reduced its margin by only 0.2 percentage points for every 10 million pesos

increment in the balance of the credits (the equivalent reduction in 2007 was

0.8 percentage points). Faced with the same increase in the loan balance, the

private banking system diminished its margin in 0.3 percentage point, very

close to the figure of 0.2 percentage point corresponding to 2007.

5. Final comments

We found empirical evidence that there are statistically significant differences between the

main determinants of the financial margins that the commercial banks and development

banks charge in their loans to the private-sector corporations and persons in Mexico, which

is why we reject the hypothesis that we presented in the introduction of this work.

For the above, we argue that the assertion that the lending activities of the

development banks are based on the same criteria that define those of the commercial banks

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28

in Mexico does not have solid empirical justification. At least in what is referred to the

determination of financial margins.

However, we should make clear that from the previous argument, we cannot come

to the conclusion that the lending activities of the development banks in Mexico necessarily

lead to stamp out the asymmetries of information that make room for difficult access to

bank financing, or to credit rationing. What we can affirm is that the development banking

system performs a function that does not seem to respond to the principles of profitability

that guide commercial banks operations.

According to our results, the more relevant determinants of the financial margins

that the Mexican banks charge in their commercial loans are: 1) whether the bank that

grants the loan is a commercial bank or a development bank, 2) whether the debtor is a

corporation or a person that performs business activities, 3) whether the debtor offers a

collateral to support its loan, 4) the debtor's size, 5) whether the aim of the credit is related

to short term or longer term matters and 6) the debtor’s economic activity, all in that order.

The financial margins of the commercial banks are relatively more sensitive than

those of the development banks to changes in the following variables: collateral, person,

size and purpose. That is, the financial margins collected by private banks react more than

those collected by government banks if: (a) the debtor offers collateral, (b) who requests the

credit is a corporation instead of a person, (c) who requests the credit is a large debtor

instead of a middle or a small-size debtor and, (d) the purpose of the credit is associated

with, say, equipment or machinery financing rather than with working capital or sales

financing.

Even though the loan’s balance proved to be a statistically significant variable, the

magnitude of its estimated parameter was negligible. Therefore, it turned out to be of little

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29

relevance to the determination of the financial margins in both types of banks.

In 2008, after the financial international crisis burst, the variables collateral and

debtor became more relevant to explain the level of the financial margins of the

commercial banks. This means that, during this period of financial turbulence, commercial

banks seem to have charged much lower financial margins to debtors that offered collateral

to back their credit, or to corporations instead of persons that hold business activities. By

the same time, the variables size, activity and purpose became less relevant for the

determination of financial margins for both commercial banks and development banks,

although they continued being important.

Thus, the most important findings of this article can be summarized as follows:

1. There are important differences between the debtors and between the types of

loans that the development banks and the commercial banks grant in Mexico.

2. However, some differences between the financial margins of each type of bank

are only a matter of degree or magnitude given that they point to the same

direction. Such is the case in regard to the size of the debtor.

3. It stands out that both types of banks barely finance younger than two year-old

debtors; on the contrary, they concentrate most of their loans in debtors aged 15

and above. Therefore, it looks like the government banks do not necessarily

promote access to credit among the younger applicants.

4. The main and most important contribution of the development banks in Mexico

seems to be the offering of funds to the private sector financial intermediaries

—commercial banks and other intermediaries— at concessionary interest rates.

These intermediaries use these funds to grant credit to corporations and

persons that undertake business activities.

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30

5. Therefore, our results seem to suggest than the development banks, unlike the

commercial banks, do not pursue an objective of profitability, but they seek to

raise the total offer of credit in the economy. They do so by offering second-tier

preferential funds –that is, lower cost funds- to other financial intermediaries.

Finally, it is important to make clear that even though the results obtained in this article are

statistically significant, they suffer from various limitations:

Our findings are based on cross-section analysis. Naturally, a richer analysis

could have come out if it was possible to apply a panel-data approach. That way

we would have followed up in time a same debtor. This certainly would have

thrown very interesting indications of how the credit market works.

The observations belonging to the development banking system represent

around two percent of the total of observations in our sample. As we mentioned

previously, this follows from the fact that the greatest part of its funds is

channeled through other financial intermediaries. As today there is not a

database that enables us to find out the terms in which these resources are

rendered by such financial intermediaries to the final debtors.

Had we had such a database, it would have allowed us to understand much

better the contribution of the development banks to the functioning of the credit

market in México. Unfortunately, at this point a database of that nature does not

exist.

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31

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Figure 1. Banking System Commercial Loans to Private Sector by Size 2007-2008 */

*/ Real stocks in thousands of millions of pesos as of December 2007 and December 2008 (pesos of December 2007).

Note the changes in the scale of each section in the figure.

Figure 2. Number of Observations by Size 2007-2008 */

37

44

29

35

0 5

10 15 20 25 30 35 40 45 50

2007 2008 Commercial Banks Development Banks

SMALL

136 141

27 34

0 20 40 60 80

100 120 140 160

2007 2008 Commercial Banks Development Banks

MICRO

263 309

0.975 0.755 0

50 100 150 200 250 300 350

2007 2008 Commercial Banks Development Banks

MEDIUM

411

580

76 104

0 100 200 300 400 500 600 700

2007 2008 Commercial Banks Development Banks

LARGE

525 466

690 560

0 100 200 300 400 500 600 700 800

2007 2008 Commercial Banks Development Banks

MICRO

61 82

178 147

0 20 40 60 80

100 120 140 160 180 200

2007 2008 Commercial Banks Development Banks

SMALL

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37

*/ Thousands as of December 2007 and December 2008. Note the changes in the scale in each section of the figure.

Figure 3. Banking System Average Commercial Loan to Private Sector by Size 2007-2008 */

*/ Real stocks in millions of pesos as of December 2007 and December 2008 (pesos of December 2007).

Note the changes in the scale in each section of the figure.

88 104

0.626 0.597 0

20 40 60 80

100 120

2007 2008 Commercial Banks Development Banks

MEDIUM

52 63

86

113

0 20 40 60 80

100 120

2007 2008 Commercial Banks Development Banks

LARGE

0.26

0.30

0.04 0.06

0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35

2007 2008 Commercial Banks Development Banks

MICRO

0.60 0.54

0.16

0.24

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

2007 2008 Commercial Banks Development Banks

SMALL

2.99 2.97

1.56 1.27

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5

2007 2008 Commercial Banks Development Banks

MEDIUM

7.89

9.17

0.89 0.92

0 1 2 3 4 5 6 7 8 9

10

2007 2008 Commercial Banks Development Banks

LARGE

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38

Table 1. Removed Observations as of December 2007 VARIABLE BY REASON OF:

Size 14,273 observations (0.8% out of the total) referred to loans granted to government entities or

agencies (all of which are of no interest to this study).

Age 895 observations (0.05% out of the total) showed a format incompatible with the calculation of the

borrower’s age.

Debtor The development banks’ side of the data base included an extreme observation: a single huge loan

($1’090.9 millions) granted to a person.

Location There were 70,900 observations (4.2% out of the total) for which it was not possible to determine

the borrower’s location. On the other hand, 1,033 observations (0.06% out of the total)

corresponded to borrowers located abroad. Both groups are of no interest to this study.

Activity It was impossible to determine the borrower’s sector of activity in 639 observations. Besides,

14,638 corresponded to government activities, all of which are of no interest to this study.

Purpose In 14,936 observations it was impossible to determine the loan’s purpose.

Table 2. Number of Observations on the Corrected Data Base by Size as of December

2007 2008

Size Development

Banks

Commercial

Banks

Development

Banks

Commercial

Banks

Total Total

Micro 647 255,220 255,867 644 243,330 243,974

Small 4,149 8,270 12,419 3,870 11,752 15,622

Medium 119 32,292 32,411 207 36,270 36,477

Large 1,757 11,531 13,288 1,970 21,512 23,482

Total 6,672 307,313 313,985 6,691 312,864 319,555

Table 5. Existence of Collateral by Activity, December 2007

Activity

Agriculture Mining Manufacturing Industry Trade Services Financial

Yes 775 313 14,225 8,988 52,332 58,405 15,490

No 132,682 98 4,716 3,806 9,964 8,115 4,076

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39

Table 3. Variables Description

Variable

Unit of Measure /

Specification

Description

Loan’s Balance

(Balance)

Pesos Indicates the outstanding total amount of the loan as of the end of the month. The balance includes

capital and interests.

Financial Margin

(margin)

Percentage Indicates the spread between the gross annual interest rate of the loan minus the average annual rate of funding for each type of bank. On December 2007, the corresponding rate of funding to

commercial banks (Costo de Captación a Plazo de los Pasivos en Moneda Nacional) averaged

6.24%, while development banks’ average rate of funding (Tasa de Interés de los Pasivos a Plazo en Moneda Nacional) reached 7.67%.

Borrower’s Age

(Age)

Days The borrower’s age was calculated subtracting from the last day of 2007 (December 31th 2007),

the date read on the Federal Taxpayers' Registry, that is, the ―Registro Federal de Contribuyentes‖

(RFC). The RFC usually contains the date on which the person was born or the corporation made a start.

Loan’s Term

(Term)

Days The term of the loan was calculated subtracting from its expiration date the date when it was

outlaid.

Borrower’s

Sector of

Activity

(Activity)

Categories 0-6 Indicates the borrower’s main sector of economic activity. Each sector of economic activity (that

is, each category of Activity) was related to a specific number: 0 for Agriculture; 1 for Mining; 2

for Manufacturing; 3 for Industry; 4 for Trade; 5 Services; 6 for Financial Sector. Government

activities were removed and agriculture was taken as the base category.

Type of Bank

(Bank)

Categories 0-1

(dummy variable)

Development banks were grouped in the base category so number 0 was related to development

banks and number 1 to commercial banks.

Type of Debtor

(Debtor)

Categories 0-1

(dummy variable)

There exist two formats for RFC: the first one contains 12 characters and corresponds to persons.

The second format contains 13 characters and refers to corporations, corporations or corporations. The base category (number 0) was assigned to persons and number 1 to corporations.

Borrower’s Size

(Size)

Categories 0-3 Indicates the borrower’s size according to the following criteria: 0 for micro; 1 for small; 2 for

medium and 3 for large. Government entities or agencies were excluded and small was taken as the base category.

Loan’s Purpose

(Purpose)

Categories 0-2 Different loan purposes were grouped in short, medium or large terms, and restructuring, according

to their aim or nature. Therefore, the following categories were included: 0 (short term) for

working capital, sales financing, no specific purposes, etc.; 1 (medium or large) for fixed asset, infrastructure, real state, imports, etc., and 2 (restructure) for debt restructuring. Short term was

taken as the base category.

Borrower’s Location

(Location)

Categories 0-1 (dummy variable)

Base category (number 0) was set to rural location and number 1 to urban location.

Existence of

Collateral

(Collateral)

Categories 0-1

(dummy variable)

Number 0 was set to loans for which there was no collateral and number 1 for those that exhibited

collateral. Lack of collateral was taken as the base category.

Table 4. Pearson’s Correlation between Variables, December 2007 \ 2008 */ 2007\2008 margin size bank collateral debtor age Activity location term purpose balance

margin 1 -0.362 0.193 -0.592 -0.672 -0.084 0.476 0.190 -0.512 -0.494 -0.050

size -0.406 1 -0.156 -0.199 0.210 -0.481 0.314 0.123 -0.079 -0.340 0.074

bank 0.209 -0.190 1 0.140 -0.072 0.148 -0.185 -0.047 0.059 0.055 -0.006

collateral -0.584 -0.124 0.153 1 0.468 0.507 -0.755 -0.305 0.685 0.787 -0.010

debtor -0.623 0.177 0.231 0.556 1 -0.133 -0.486 -0.180 0.393 0.465 0.022

age -0.095 -0.492 0.158 0.517 -0.026 1 -0.580 -0.230 0.395 0.599 -0.040

activity 0.486 0.309 -0.203 -0.776 -0.552 -0.61 1 0.336 -0.568 -0.818 0.024

location -0.191 -0.118 0.049 0.303 0.199 0.233 -0.332 1 -0.240 -0.327 0.006

term -0.531 -0.088 0.039 0.754 0.471 0.433 -0.630 0.257 1 0.666 0.016

purpose -0.510 -0.313 0.054 0.796 0.507 0.614 -0.826 0.323 0.721 1 -0.023

balance -0.042 0.072 -0.003 -0.012 0.015 -0.03 0.022 -0.007 0.011 -0.022 1

*/ Statistically significant at 95% of confidence.

Page 40: Huidobro&Sepulveda_2010

40

Table 6a. ANOVA for margin, December 2007

Variable

Category

Median

Mean

Mean

Differences

(base category

minus each of

the rest) 1/

Number of

Observations

margin All 8.11 11.33 0.0 313,985

Size Micro 8.22 12.57 0.0 255,867

Small 4.96 5.18 7.39 12,419

Medium 6.66 6.51 6.07 32,411

Large 3.76 4.83 7.74 13,288

Bank Development 1.80 2.65 0.0 2 / 6,672

Commercial 8.11 11.52 -8.87 2 / 307,313

Collateral No 17.76 15.04 0.0 2 / 150,528

Yes 7.94 7.91 7.13 2 / 163,457

Debtor Person 20.26 17.36 0.0 2 / 89,291

Corporation 7.96 8.93 8.43 2 / 224,694

Activity Agriculture 7.96 7.83 0.0 133,457

Mining 6.66 9.83 -1.99 411

Manufacturing 7.76 9.96 -2.12 18,941

Industry 7.66 10.67 -2.83 12,794

Trade 17.76 15.11 -7.27 62,296

Services 18.76 16.33 -8.49 66,520

Financial 5.25 7.93 -0.09 19,566

Location Rural 7.94 8.20 0.0 2 / 38,186

Urban 8.15 11.76 -3.56 2 / 275,799

Purpose Short Term 17.76 14.20 0.0 172,214

Medium/Long 7.95 7.81 6.39 140,532

Restructure 11.76 11.17 3.03 1,239

Age (ranges Up to 1 7.25 7.27 0.0 330

in years) 1-2 6.66 7.89 -0.63 1,465

2-5 12.76 12.58 -5.32 18,682

5-10 10.98 11.51 -4.24 28,362

10-15 6.66 7.66 -0.39 24,519

15-20 6.66 8.31 -1.05 11,070

More than 20 8.10 11.77 -4.50 229,557

Term (ranges Up to 1 16.76 12.55 0.0 54,480

in years) 1-2 19.76 17.55 -5.0 86,118

2-5 7.94 7.89 4.66 169,436

5-10 5.89 6.19 6.36 3,317

10-15 6.35 6.45 6.10 483

15-20 5.71 4.73 7.83 71

More than 20 3.76 3.23 9.33 80 1/ Based on the Scheffé post hoc test. All mean differences were significant at 99% of confidence.

2/ Based on the t-test of mean differences at 99% of confidence.

Page 41: Huidobro&Sepulveda_2010

41

Table 6b. ANOVA for margin, December 2008

Variable

Category

Median

Mean

Mean

Differences

(base category

minus each of

the rest) 1/

Number of

Observations

margin All 7.15 10.94 0.0 319,555

Size Micro 7.30 12.45 0.0 243,974

Small 5.79 5.50 6.95 15,622

Medium 5.70 5.44 7.01 36,477

Large 6.30 7.32 5.13 23,482

Bank Development 1.35 2.12 0.0 2 / 6,691

Commercial 7.16 11.12 -9.0 2 / 312,864

Collateral No 18.80 14.72 0.0 2 / 166,343

Yes 6.98 6.82 7.90 2 / 153,212

Debtor Person 19.30 18.17 0.0 2 / 88,489

Corporation 6.98 8.16 10.01 2 / 231,066

Activity Agriculture 7.00 6.85 0.0 120,498

Mining 8.80 11.42 -4.57 371

Manufacturing 6.55 9.00 -2.14 21,102

Industry 5.78 9.55 -2.70 14,416

Trade 18.80 14.67 -7.82 63,016

Services 18.80 15.97 -9.11 80,324

Financial 3.45 6.54 0.31 19,828

Location Rural 6.99 7.39 0.0 2 / 36,156

Urban 7.26 11.39 -4.00 2 / 283,399

Purpose Short Term 16.80 13.66 0.0 191,214

Medium/Long 6.98 6.83 6.83 126,956

Restructure 9.80 9.64 4.03 1,120

Age (ranges Up to 1 5.80 5.31 0.0 238

in years) 1-2 5.70 5.45 -0.14 3/ 1,428

2-5 10.45 11.22 -5.91 16,265

5-10 11.80 11.55 -6.24 33,259

10-15 6.01 8.36 -3.04 25,654

15-20 5.70 7.96 -2.65 14,243

More than 20 7.15 11.34 -6.03 228,468

Term (ranges Up to 1 5.54 6.78 0.0 34,928

in years) 1-2 19.30 18.49 -11.72 107,163

2-5 7.00 7.22 -0.44 171,825

5-10 5.70 6.38 0.40 4,917

10-15 5.39 5.84 0.93 578

15-20 4.75 4.20 2.57 62

More than 20 2.80 1.69 5.01 82 1/ Based on the Scheffé post hoc test. All mean differences were significant at 99% of confidence.

2/ Based on the t-test of mean differences at 99% of confidence.

3/ The difference were not statistically significant.

Page 42: Huidobro&Sepulveda_2010

Table 7a. Determinants of margin in December 2007

Column (II) shows equation (1) estimated coefficients 1/

Columns (III) to (XI) show equation (2) estimated coefficients 1/

I II III IV V VI VII VIII IX X XI

Variable i=Size i=Collateral i=Debtor i=Age i=Activity i=Location i=Term i=Purpose i=Balance

Constant 3.642 0.908 -1.545 3.662 3.881 5.998 3.611 2.889 2.946 3.624

Size -3.273 -1.004 -3.273 -3.275 -3.275 -3.269 -3.273 -3.278 -3.302 -3.274

Bank 12.795 15.537 12.796 12.759 12.551 10.427 12.826 13.636 13.631 12.814

Collateral -1.586 -1.599 0.535 3/ -1.617 -1.597 -1.558 -1.584 -1.43 -1.365 -1.586

Debtor -3.949 -3.879 -3.949 -7.192 -3.945 -3.951 -3.949 -3.946 -3.896 -3.948

Age (days) -0.000004 -0.000004 -0.000004 -0.000004 -0.00005 -0.00004 -0.000004 -0.000004 -0.000003 -0.000004

Activity 0.609 0.606 0.609 0.609 0.609 0.19 0.609 0.604 0.583 0.609

Location -0.022 -0.023 2/ -0.022 2/ -0.023 2/ -0.022 2/ -0.021 1.657 2/ -0.018 3/ -0.016 3/ -0.022 2/

Term (days) 0.00004 0.00006 0.00004 0.00008 0.00005 0.00002 0.00004 0.001 -0.00006 0.00004 2/

Purpose -2.979 -3.07 -2.979 -2.987 -2.983 -2.958 -2.978 -3.01 1.407 -2.98

Balance

(pesos)

-0.00000002 -0.00000002 -0.00000002 -0.00000002 -0.00000002 -0.00000002 -0.00000002 -0.00000002 -0.00000002 0.00000008

Interaction --- -2.344 -1.587 3.249 0.000042 0.424 -1.68 -0.001 -4.678 -0.00000011

R2 (Adjusted) 0.84 0.805 0.804 0.804 0.804 0.804 0.804 0.804 0.805 0.804

F-test 128,410 117,735 128,411 116,769 116,744 116,786 116,749 117,065 117,688 116,749

Observations 313,984 313,984 313,984 313,984 313,984 313,984 313,984 313,984 313,984 313,984

1/ Estimated by WLS and statistically different from zero at 99% of confidence. 2/ Statistically different from zero at 95% of confidence. 3/ Statistically different from zero at 90% of confidence.

Page 43: Huidobro&Sepulveda_2010

Table 7b. Determinants of margin in December 2008

Column (II) shows equation (1) estimated coefficients 1/

Columns (III) to (XI) show equation (2) estimated coefficients 1/

I II III IV V VI VII VIII IX X XI

Variable i=Size i=Collateral i=Debtor i=Age i=Activity i=Location i=Term i=Purpose i=Balance

Constant 8.708 5.483 4.399 3.619 10.684 8.148 7.727 8.811 8.453 8.697

Size -3.014 -0.688 -3.014 -3.016 -3.014 -3.015 -3.014 -3.014 -3.018 -3.014

Bank 9.372 12.641 9.377 14.514 7.417 9.939 10.353 9.263 9.662 9.383

Collateral -4.912 -4.955 0.220 3/ -4.939 -4.934 -4.915 -4.913 -4.923 -4.856 -4.912

Debtor -4.132 -4.113 -4.131 1.402 -4.16 -4.134 -4.132 -4.134 -4.114 -4.131

Age (days) -0.000002 -0.000004 -0.000002 -0.000003 0.0 -0.000002 -0.000002 -0.000002 -0.000002 2/ -0.000002

Activity 0.343 0.337 0.343 0.333 338 0.445 0.343 0.344 0.335 0.343

Location 0.019 3/ 0.020 3/ 0.019 4/ 0.019 4/ 0.019 4/ 0.019 4/ 1.014 2/ 0.019 4/ 0.017 4/ 0.019 4/

Term (days) 0.00002 3/ 0.00006 0.00002 5/ 0.00005 0.00004 2/ 0.00002 5/ 0.00002 5/ 0.0 0.0000005 5/ 0.00002 5/

Purpose -2.132 -2.18 -2.131 -2.15 -2.143 -2.136 -2.132 -2.128 -0.465 -2.133

Balance

(pesos)

-0.00000003 -0.00000003 -0.00000003 -0.00000003 -0.00000003 -0.00000003 -0.00000003 -0.00000003 -0.00000003 0.00000002 5/

Interaction --- -2.386 -4.915 -5.578 0.0 -0.103 2/ -0.997 2/ 0.0 -1.761 -0.00000005 2/

R2 (Adjusted) 0.794 0.796 0.794 0.795 0.795 0.794 0.794 0.794 0.795 0.794

F-test 123,510 113,180 123,520 112,629 112,531 112,284 112,284 112,284 112,362 112,284

Observations 319,554 319,554 319,554 319,554 319,554 319,554 319,554 319,554 319,554 319,554

1/ Estimated by WLS and statistically different from zero at 99% of confidence. 2/ Statistically different from zero at 95% of confidence. 3/ Statistically different from zero at 90% of confidence. 4/ Statistically different from zero at less than 90% of confidence. 5/ Statistically equal to zero.

Page 44: Huidobro&Sepulveda_2010

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