Innovation in the Retail Banking Industry: Credit Scoring Adoption and Consequences on Credit Availability
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Innovation in the Retail Banking Industry: Credit Scoring Adoption and Consequences on Credit Availability∗ Marcello Bofondi and Francesca Lotti† Bank of Italy, Research Department March 11, 2005 Abstract Credit scoring techniques represent a major innovation aimed at reducing the costs of underwriting processes and improving the accuracy of the estimates of borrowers’ default probability. The benefits deriving from the diffusion of credit scoring techniques are potentially very large, both from the borrowers’ and the banks’ point of view. We analyze the patterns of diffusion of this technology among Italian banks. We find that credit scoring was first introduced by large banks which are fully able to exploit scale economies. Moreover, a relevant channel of diffusion of this technology is represented by the bank group. We then analyze the effects of credit scoring on the supply of new mortgage loans by individual banks, finding that adoption allows them to increase their market share. Finally, we examine whether the introduction of automated credit scoring techniques has increased or reduced credit availability in local markets. The empirical evidence indicates that introduction of credit scoring has a positive and significant impact on the overall supply of credit. Keywords: Innovation, Credit Scoring, Mortgage Loans, Technology Diffusion, Retail Banks. JEL Classification: G21, C41. ∗ Bank of Italy, Research Department, via Nazionale 91, 00184 Rome, Italy. Email: mar- cello.bofondi@bancaditalia.it; francesca.lotti@bancaditalia.it. We wish to thank Giorgio Gobbi and Fabio Panetta for their valuable comments, Jean Marie Bouroche and Alessandra Gabrielli of CRIF Decision Solu- tion for helping us in understanding how credit scoring is designed and for data provision. A special thank to those colleagues at the Regional Research Units who helped us with the survey. Cinzia Chini and M.Cristina Fabbri provided excellent research assistance. The usual disclaimers apply. The views expressed here do not necessarily reflect those of the Bank of Italy. † Corresponding author. 1
1 Introduction In this paper we study the diffusion of credit scoring technologies among Italian banks and its consequences on credit availability to households. Automated credit scoring techniques represent a major innovation aimed at reducing the costs of underwriting processes and improving the accuracy of the estimates of borrowers’ default probability. Therefore, it must be considered a new production process (Frame and White, 2004). The first application of credit scoring techniques took place in the US, where they were primarily used for credit cards loans. In the last decade credit scoring has become very common in the mortgage lending industry. Two US Congress chartered companies (Fannie Mae and Freddie Mac) contributed significantly to the diffusion of this technology. Fannie Mae and Freddie Mac where chartered to stabilize the mortgage market and expand op- portunities for home ownership. They accomplished their mission by creating a secondary market for mortgage loans. In order to reduce the informational asymmetries between loans originators and subscribers of the securities backed by the mortgage loans, these two com- panies require the originator to use automated underwriting technologies based on credit scoring techniques. Their experience in the mortgage loans market and the availability of a large number of data allowed them to develop their own automated underwriting software, that is currently sold to the originators. Nowadays, in the US mortgage loans market, the creditworthiness of virtually all the new borrowers is evaluated by credit scoring techniques. Starting from the mid nineties, credit analysts argued that this technology could have been profitably applied also to small business lending since the personal credit history of small business owners is highly predictive of the loan repayment prospects of the business. This implied the implementation of automated underwriting in a market that was traditionally characterized by a pervasive use of soft information. The patterns of diffusion of credit scoring in the small business loans market and the effects on availability, price and risk of small business credit have been studied by some recent contributions (Akhavein, Frame and White, 2004; Berger, Frame and Miller, 2004). The main findings of these studies are that the first adopters were mainly large banking organizations characterized by fewer separately chartered banks, but more branches. Moreover, credit scoring is associated with expanded quantities, higher average prices, and greater risk levels for small business credit. These findings are consistent with a net increase in lending to relatively risky “marginal 2
borrowers” who would not otherwise receive credit, but who pay relatively high prices when they are founded. In Italy credit scoring diffusion is still at an early stage. This is due to several reasons. First, the lack of comprehensive Credit Bureaus providing potential borrowers’ credit his- tories, can complicate the construction of a standardized credit scoring mechanisms. The largest Italian Credit Bureau i.e. the Italian Credit Register (C.R.), files information about all bad loans and performing loans above 75,000 euro. This implies that most of information concerning consumer credit is not reported. Therefore a complete borrower’s credit history cannot be tracked. In order to fill this gap, some private companies have started to gather information about those loans not filed in the C.R.. Nevertheless these private credit bureau are not as detailed as those maintained in the US. Second, in Italy the secondary market for loans was thin until the late 90’s, and consequently it provided little incentives for the adop- tion of standardized credit evaluation methods. Finally, the relationships between banks and their customers, which in Italy rely heavily on soft information, make the adoption of automated credit scoring techniques more difficult, in particular for small business lending. The New Basel Capital Accord will constitute a great incentive for the diffusion of credit scoring. In order to implement the so called Internal Rating-Based approach, banks will be required to segment their retail portfolio according to borrowers’ credit risk. As a minimum requirement, a bank will have to segment by credit scores, including application scoring (score based on full information in a credit application).1 The potential benefits from the diffusion of credit scoring techniques are very large. From the borrowers’ point of view, automated underwriting simplifies the loans application pro- cess. Borrowers are asked a limited and standardized set of questions about their financial and socio-economic conditions and are provided with a quick answer, allowing them to re- duce the search costs that they would have incurred under the traditional loan evaluation processes. Further, banks can significantly reduce the marginal cost of creditworthiness eval- uation, allowing them to assess a larger number of potential borrowers. Credit scoring might be used as well during renegotiations, permitting the bank to redefine contracts’ conditions. As long as these techniques are more reliable than traditional judgmental methods, their implementation could also reduce credit risk. Finally, from a social welfare perspective, the 1 See Basel Committee on Banking Supervision (2001) and Altman (2002). 3
use of credit scoring can facilitate the creation of a secondary market for loans, increasing credit availability by allowing banks to invest in liquid assets and to improve risk manage- ment.2 Nevertheless there still are some potential shortcomings. First, the possibility of screening a large number of borrowers may induce banks not to expand their credit supply, but to select more carefully their borrowers. As a consequence we might observe a decrease in credit availability. Second, if the automated tool is not flexible enough, there is risk of systematic exclusion of certain categories of new borrowers (Bridges and Disney, 2001), with a negative impact on social welfare. This has been a major concern in the US mortgage loans market in the last few years. Our analysis is based on a database obtained from a survey that we conducted among 104 banks that had originally reported to the Supervision Department of the Bank of Italy the usage credit scoring techniques. We received 45 answers, 43 of them confirmed their adoption of credit scoring and provided further information, such as the date of adoption and the market segment to which credit scoring is applied. Complementing this data with the information coming from the Banking Supervision Reports at the Bank of Italy, we analyze the pattern of diffusion of credit scoring among Italian banks starting from 1993. We find that the adoption wave started in 1998, that first adopters were mainly large commercial banks and that a main channel of diffusion was the banking group. We also estimate a non parametric hazard model finding that the curvature of the cumulative hazard curve is very steep, suggesting that we still are in the first stages of the diffusion process. Afterwards we focus our attention on the consequences of credit scoring adoption on the market of mortgage loans, using a data set of 18,245 observations referring to 103 provinces and 240 banks over the period 1999-2002. Our main findings are that the adoption of credit scoring implies a faster growth rate of new mortgage loans for the adopters and that this expansion is mainly due to the possibility of financing customers that otherwise would have not been financed. 2 An overview on the CS methodology Credit scoring is a technique used by financial intermediaries for screening applicants. This procedure was first adopted during the fifties, mainly by finance houses and mail order 2 Whether securitzation may help to lower interest rates is still an open issue (Heuson et al., 2000). 4
firms. At that time, decision were made judgementally by credit analyst: creditworthiness evaluations largely depended on the rules of financial houses and on the experience and knowledge of their clerks. In the sixties, when the number of applicants for credit cards increased, an automated system was necessary. The first consultant firm was founded in 1957 in San Francisco (Bill Fair & Earl Isaac); since then, the automated credit scoring procedure spread quickly and became a standard for risk evaluation for consumer lending, for mortgage lending and for business lending. Credit scoring procedures are based on statistical methods like discriminant analysis, logistic and probit regression; in more recent developments, neural networks, genetic algo- rithms and linear programming are used. The common idea behind these different method- ologies, is that there exist (at least) two populations of potential borrowers, good and bad types (with a lower and a higher average default probability, respectively). From a statis- tical point of view, it is a problem of correct classification, i.e. to design a procedure able to allocate a new observation into one of the two populations, minimizing a given objective function (typically is the cost of misallocation). Accordingly, individuals are separated on the basis of some observed characteristics belonging both to their socio-economic background - age, income, gender, nationality, family size, etc. - and to its credit history - the number of credit cards, how much did the applicant borrowed, if it ever delayed a repayment and so on.3 As an example, a problem of classification of an individual in two population is sketched. Let’s define f1 (x) and f2 (x) the probability density functions associated with the random vector X - the observable characteristics - for the population φ1 (good types) and φ2 (bad types). If we denote the sample space with Ω, a potential borrower with a profile must be assigned to either φ1 or φ2 . Suppose then to split the sample space into two regions, S1 and S2 , exhaustive and mutually exclusive, and to classify as φ1 (φ2 ) those observations for which x ∈ S1 (S2 ). Since the probability distributions f1 (x) and f2 (x) are often overlapping, the assignment process described above, is potentially subject to misclassification errors. To give an example, observations belonging to the S1 (S2 ) region can be erroneously be assigned to population φ1 (φ2 ) while coming from φ2 (φ1 ), as represented Figure 1 with the light (dark) gray area. Each of these possible misallocation has a different cost: accordingly, one criterion 3 In the US, the Equal Credit Opportunity Act (ECOA) prevents creditors from discriminating potential borrowers according to some characteristics, such as race, sex, marital status, nationality, and so on. 5
to identify the boundary of the S regions could be the minimization of the expected cost of misallocation. The statistical models of classification are usually based on historical data and this rises the issue of sample attrition.4 Since the aim of all these procedures is to give an estimate of the default, the result can be severely biased. The selection mechanism works as follows: given a potential pool of borrowers, subdivided in good and bad types, we can observe creditworthiness performance only of those whose application was accepted; thus a classification process which does not take into account the source of attrition is based only on one part of the population. In this way, an applicant’s profile is compared against successful recipients, therefore conditioning on the sampling rule, i.e. acceptance5 Accordingly, the predictor of the default rate must take into account this rule. Besides these problems related to the statistical significance of the sample of potential borrowers, there is a crucial issue concerning social welfare. It may happen that a new applicant exhibits characteristics that are “infrequent”, in the sense that they are at the boundaries of the sample space Ω (or sometimes, even outside), and to be rejected just because similar individuals have no credit history. From a technical point of view, these statistical models need a population of individuals to extract the sample from: for a single bank that needs to use these models, the population is the actual pool of its borrowers. Based on this information, the statistical tool is calibrated: in this sense, scoring mechanism belonging to different banks are independent. When internal information is inadequately organized or incomplete, a “start-up” model is implemented6 this is based on a more general representative sample (for type of loan and geographically) of more vast and generic pool of potential borrowers. 3 Italian Banks and Technology Adoption Recently, the Bank of Italy conducted a survey among Italian banks (excluding Cooperative Credit Banks) about the possible consequences of the New Basel Capital Accord. Nearly 4 See Greene, 1998. 5 In probabilistic terms, if one doesn’t take into account the sample attrition problem, the estimate will be P rob (Def ault|Acceptance), which is different from P rob (Def ault), since P rob (Def ault) and P rob (Acceptance) are not independent. 6 In these cases, the supplier of the credit scoring technique is very likely to be an external specialized firm. 6
one hundred banks declared to have adopted credit scoring techniques. By means of a direct contact with those banks, we obtained further information about credit scoring adoption7 , such as the date of adoption and the field of application. We received 45 answers: 43 of them were complete. Then we merged this data with bank level information from the Banking Supervision Reports at the Bank of Italy, both on the adopters and on the non adopters. The first adoption occurred in 1989 by a subsidiary of a foreign bank. The true adoption wave occurred from 1998 onward, as emerges from Table 1. Undoubtedly, the time to adoption is very likely to be affected, especially at the early stages, by banks’ individual characteristics, like size, number of branches, market share in the field of application of the credit scoring or other non observable strategies. Concerning bank size, we would expect larger institutions to be among the firsts to adopt credit scoring.8 Conversely, smaller banks which tend to rely more on soft information are expected to be later adopters. A channel through which diffusion takes place is the banking group: once the head of a group adopts automate credit scoring techniques, it imposes the same standards to the other banks belonging to the group. This is shown in Table 1 (column 6): in 2002, 77% of the adopters in our sample were part of a group. The weight of adopter banks increased over time: at the end of 2002 they accounted for the 40% of outstanding mortgage loans (from 18% in 1999) and for the 51% of outstanding consumer credit (from 26% in 1999). The large proportion of debt extended by adopters banks is due to the fact that, even if the number of adopters still seems small, they represent the larger Italian banks. Columns 4 and 5 of Table 1 reports the number of adopters from 1993 on, categorized by bank types.9 The pattern of diffusion is similar across bank types, even though early adopters were primarily Commercial Banks. In 2002, 67% of adopters were Commercial Banks and 33% Cooperative Banks. We also classify bank in term of size, according to the amount of total loans: top banks (over 45 billions of euro), big banks (from 20 to 45 billions of euro), medium sized banks (from 7 to 20 billions of euro), small banks (from 1 to 7 billions of euro) and minor banks (less than 1 billion of euro). In Figure 3, adopters are classified according to their size: top and medium sized banks are the pioneers in using automated credit scoring techniques. With the additional information gathered directly through the banks, we could identify the field of application 7 The questionnaire employed is in Italian, and it is available from the authors upon request. 8 Larger banks can benefit from scale economies, moreover, they are likely to have a more codified customer database, necessary to implement a customized credit scoring mechanism. 9 Cooperative Credit Banks are not taken into account since they are not part of our sample. 7
of the automated credit scoring techniques. In Figures 4-5-6, the patterns of adoption of credit scoring for consumer credit (credit cards and personal loans), mortgage loans and small business lending are reported. The pattern of diffusion resembles the one occurred in the US: credit scoring was firstly implemented to assess the creditworthiness of borrowers applying for credit cards and consumer credit. The strong links between the probability of default and the personal credit histories of the borrowers make this type of loans particularly suitable for the use of automated underwriting. Lately banks started to apply credit scoring to mortgage loans as well. The use of this new technology in the small business credit market is still not very disseminated, indicating how soft information can still play a fundamental role especially in small business lending practices. In order to better examine the speed and of adoption and the stage of the diffusion process, we estimate a non parametric hazard model, subdividing the period from 1989 to 2002 (in days) and evaluating, for every bank at every time interval, what the likelihood of adoption is, conditional on the fact that credit scoring was not used before. Formally, the hazard rate can be defined as: P r (t ≤ T ≤ t + ∆t|t ≤ T ) f (t) λ (t) = lim = (1) ∆t→0 ∆t 1 − F (t) where f (t) is the density function whose cumulative density function is F (t). For each time t, the hazard rate λ (t) is the probability of adopting the new technology in the period t + ∆t, given that the bank did not adopt credit scoring at time t. For our purpose, we use the integrated (or cumulated) hazard function, defined as: Z t Λ (t) = λ (t) dt (2) 0 which can be consistently estimated through the Nelson-Aalen estimator (Aalen, 1978 and Nelson, 1972), defined as: k µ X ¶ δj H (t) = (3) j=1 nj where δj represents the number of banks which adopted credit scoring in the j th time interval, nj is the number of non adopters at the beginning of the j th time interval and k is 8
the number of time intervals considered. In Figure 8, the Nelson-Aalen cumulative hazard function is reported.10 The starting point, i.e. the time in which the first adoption occurred, is August 1989: up to that time we observe a nearly flat line. Only after 3 thousands days since the first adoption (i.e. more than eight years), this innovation started to spread, that means that the true process of diffusion took place from 1998 to now. When the adoption process is concluded, we would expect to observe a complete hazard curve S−shaped: in the period from 1998 to 2002 the curvature of the hazard curve is very steep, suggesting that we still are in the first stages of adoption (Geroski 2000). 4 Consequences on credit availability: empirical evi- dence We focus our empirical analysis on the mortgage loans market. The US experience suggests that this is a market where the implementation of credit scoring techniques may have sub- stantial consequences. The market for mortgage loans in Italy expanded rapidly in the past four years: in 2002, 37 billions of euro of new mortgage loans were extended, 33% more than in 1999. In the same period, also the implementation of credit scoring in the assessment of credit worthiness of borrowers applying for a new mortgage loan expanded rapidly: accord- ing to the results of our survey, in 1999 in every Italian province, on average, there were at least 4.7 banks using credit scoring, in 2002 they were 10.9 (Table 2). We conduct our empirical analysis on a sample referring to the period 1999-2002 and to all Italian banks (excluding Cooperative Credit Banks) operating in the mortgage loans market and for which data were available. Our sample indicates a significant growth of the diffusion of credit scoring techniques. In 1999 the share of new mortgage loans extended by adopting banks was equal to 29.5%, that became 31.5% in 2002. In the same period, the number of provinces where more than 40% of new mortgage loans were extended by adopters rose from 17% to 28%. In 1999 there where 40 provinces with a share smaller than 20%, in 2002 only 15. The adoption of automated credit scoring mechanisms can have effects on credit avail- ability both at the market and at the bank level. For this purpose we estimate two empirical 10 Taking into account that the sample is right censored; time is expressed in days. 9
models: the first aims at taking into account its effect on the expansion of new mortgage loans extended by the single banks, while the second at assessing the impact of credit scoring on market size. 4.1 Consequences on banks’ mortgage loans expansion We analyze the impact of credit scoring adoption on new mortgage loans extended by bank i in province j at time t (LN M ORTi,j,t ). We assume, as shown in equation (1), that that (LN M ORTi,j,t ) depends on whether the bank has adopted credit scoring at time t − 1 (DCSi,j,t−1 ), on banks characteristics and on two dummy variables one for province j and one for time t. LN M ORTi,j,t = f (DCSi,j,t−1 , SIZEi,j,t−1 , CAP IT ALi,j,t−1 , LN COST Si,j,t−1 , (4) BRAN CHESi,j,t−1 , BRM KTi,j,t−1 , DGRi,j,t−1 , DP ROVj , DT IM Et ) Bank’s i size (SIZEi,j,t−1 ) is measured in terms of total assets, its capital (CAP IT ALi,j,t−1 ) defined as the ratio of equity capital to total assets. Cost efficiency is accounted for by the ra- tio between operating expenses and total assets (LN COST Si,j,t−1 ); we also add network size as a regressor, measured with the total number of branches of bank i (BRAN CHESi,j,t−1 ). The presence in the market is captured by the variable BRM KTi,j,t−1 , which represents the number of branches of bank i in province j. Finally, a dummy variable indicating whether bank i belongs to a group is included. All bank-level variables refer to period t − 1 to avoid possible endogeneity problems. The province dummy variable controls for all pos- sible province fixed effects (i.e. different demand, market structure and overall economic conditions), while the time dummies captures common time shocks. We use a similar spec- ification to answer a different question: does mortgage loans supply depend upon the time since credit scoring adoption? We expect the supply of mortgage loans to depend positively on time since adoption, but at declining rates over time. For this reason, we substitute the dummy variable DCSi,j,t−1 with the numbers of years since adoption (T IM Ei,j,t−1 ) and a squared term (T IM ESQi,j,t−1 ). We estimate the different specifications using a panel data base of 18,245 observations referring to 103 provinces and 240 banks over the period 1999- 10
2002. A full description of the variables can be found in the appendix, while descriptive statistics are shown in Table 3. The estimation method is OLS regression with province fixed-effects.11 The results are reported in Table 5. Column 1 displays the estimates for equation (4): the coefficient of the credit scoring adoption dummy variable is positive and significant (the coefficient is 0.303). Assuming that the expansion of new mortgage loans de- pends linearly on time since adoption (column 2), we obtain a positive coefficient, implying one more year of use of credit scoring increases by 0.5% the extension of mortgage loans. Our hypothesis about a possible non linearity of this relationship is confirmed by the coefficient of the squared term introduced in equation (4), T IM ESQ, which is negative and significant. The value of the coefficient (−0.022) implies that the growth rate of new mortgage loans is increasing during the first 4 years since adoption and declining afterwards. 4.2 Consequences on credit availability at the market level The empirical evidence provided above is consistent with the hypothesis that the adoption of credit scoring implies a faster growth rate of new mortgage loans. This may happen in two possible ways: either adopters increase their market share at the expenses of their competitors, or credit scoring allows to finance borrowers that otherwise would not have been financed. In the former case, adoption would have consequences only on adopter banks. In the latter, the whole market would result enlarged. In order to identify which of the two effects is the prevailing one, we model new mortgage loans extended in province j at time t (LN M ORT M KTj,t ) as a function of province level variables and information about credit scoring diffusion, as described in equation (5). LN M ORT M KTj,t = f (W EIGHTj,t−1 , HERFj,t−1 , RAT ESj,t−1 , (5) GDPj,t−1 , REALESTj,t−1 , DT IM Et ) Equation (5) measures credit scoring diffusion as the ratio between the number of adopt- ing banks on the total number of active banks in province j at time t − 1 (W EIGHTj,t−1 ). We control for province specific effects with: the degree of competition measured by the 11 We did not include in the model bank-fixed effect which would have captured all the variations in the characteristics of interest, since variance over time was relatively small. 11
Herfindahl Index - computed on loans - (HERFj,t−1 ); the average loan rate (RAT ESj,t−1 ) as a proxy for the prevailing risk conditions; the log of real per capita GDP (GDPj,t−1 ), as an indicator of the local economic conditions and the real estate average price (REALESTj,t−1 ), to account for changes in the demand for real estates. All province-level variables refer to period t − 1 in order to avoid possible endogeneity problems. Subsequently we exploit the in- formation embedded in the variable W EIGHT , substituting it with the number of adopting banks (SCORIN Gj,t−1 ) and the total number of banks in the market (N BAN KSj,t−1 ).12 In an alternative specification we replaced the N BAN KS variable with the Herfindahl In- dex. We estimate the three specifications described above using a panel database of 421 observations referring to 103 Italian provinces over the period 1999-2002. A full description of the variables can be found in the appendix, while descriptive statistics are shown in Table 4. We estimate a simple OLS regression since the variance over time is very small compared to the overall variance.13 The results are reported in Table 6. The impact of the share of adopters on the availability of new mortgage loans is positive and highly significant. The coefficient is 8.354, implying a semielasticity, computed at the mean value, of 0.25 (column 1). Therefore, the hypothesis of credit market expansion as a consequence of credit scoring adoption is corroborated by empirical evidence. The advantages of credit scoring, namely the possibility of assessing creditworthiness of potential borrowers quickly and at relatively lower marginal cost, allow banks to increase credit supply. This finding is robust to different measures, like the number of adopting bank tout court (given the number of active banks in the market), which has a positive and significant impact on new mortgage loans. The coefficient, equal to 0.066, implies a semielasticity, computed at the mean value, of 0.30 (column 2). The coefficient of the Herfindahl Index, even if is not statistically significant, indicates that a higher degree of competition can increase the availability of new mortgage loans. The province controls are all highly significant and consistent across specifications. 12 In this specification we dropped the HERF variable to avoid collinearity problems with the NBANKS variable. 13 Actually, we estimated also a fixed effects and random effects model, but the within variance was too small to justify the use of this estimation technique. For this reason we preferred a simple OLS estimation with time dummies. 12
5 Conclusions In this paper we analyzed the pattern of diffusion of credit scoring techniques among Italian banks. We estimate a non parametric model finding that, though the early adopters started to implement this technology in the late 80’s, the true adoption wave started in 1998. In the period from 1998 to 2002 the curvature of the hazard function is very steep, suggesting that we still are in the first stages of adoption. The patterns of diffusion are significantly different across dimensional classes: larger banks turns out to be among the first adopters, and this is consistent with the fact that those banks can benefit from scale economies more than their smaller counterparts. Moreover, a relevant channel of diffusion of this technology is represented by the bank group. From a credit availability point of view, we address two main issues. The first is related to the effects of credit scoring adoption on the supply of new mortgage loans by single banks. The results of our econometric analysis shows that adopter banks actually widen their supply of new mortgage loans more than non adopters. Time since adoption is also important, in particular in the first years: after four years (on average) the propulsive effect of credit scoring ceases to be so relevant. The second issue concerns whether the introduction of automated credit scoring techniques have increased or reduced overall credit availability in local markets. The empirical evidence indicates that introduction of credit scoring has a positive and significant impact on market size: a growth in the number of banks using this technique increases new mortgage loans in a given market. Further issues concerned with the diffusion of credit scoring are the consequences of the adoption of this technology on banks’ risk-taking and risk-management, we intend to address them in future research. 13
References [1] Aalen, O. O., 1978, “Non Parametric Inference for a Family of Counting Processes”, Annals of Statistics, 6, 701-726. [2] Akhavein J., W. S. Frame and L. J. White, 2004, “The Diffusion of Financial Inno- vations: Adoption of Small Business Credit Scoring by Large Banking Organizations”, forthcoming in Journal of Business. [3] Altman, E. I., 2002, “Revisiting Credit Scoring Models in a Basel 2 Environment”, mimeo Stern School of Business, NYU. [4] Basel Committee on Banking Supervision, 2001, “Consultative Document. The New Basel Capital Accord”, Bank for International Settlements, Basel. [5] Berger, A. N., W. S. Frame and N. H. Miller, 2004, “Credit Scoring and the Availability, Price, and Risk of Small Business Credit”, forthcoming in Journal of Money, Credit and Banking. [6] Bridges S. and R. Disney, 2001, “Modelling Consumer Credit and Default: The Research Agenda”, Experian Centre for Economic Modelling. [7] Frame, W. S. and L. J. White, 2004, “Empirical Studies of Financial Innovation: Lots of talk, Little Action?”, Journal of Economic Literature, 42, 116-144. [8] Geroski P.A. (2000), “Models of Technology Diffusion”, Research Policy, 29, 603-625. [9] Greene W. (1998), “Sample Selection in Credit-Scoring Models”, Japan and the World Economy, 10(3), 299-316. [10] Heuson, A., Passmore W. and Sparks R., 2000, “Credit Scoring and Mortgage Securi- tization. Implications for Mortgage Rates and Credit Availability”, mimeo. [11] Nelson, W., 1972, “Theory and Applications of Hazard Plotting for Censored Failure Data”, Technometrics, 14, 945-965. 14
Figure 1: Example of two populations with overlapping distributions (univariate case). φ φ 15
Figure 2: Adopters of Credit Scoring for Loans: classification according to bank size. 16
Figure 3: Adopters of Credit Scoring for Consumer Credit: classification according to bank size. 17
Figure 4: Adopters of Credit Scoring for Mortgage Loans: classification according to bank size. 18
Figure 5: Adopters of Credit Scoring for Small Business Lending: classification according to bank size. 19
Figure 6: Nelson-Aalen cumulative hazard function: automated credit scoring adoption (starting point 1989, censored at December 2002). Time expressed in days. 20
Table 1: Number of banks which adopted credit scoring techniques and year of adoption. Cumulated Number of Adopters Year Number of Adopters Total Commercial Cooperative Banks belonging Banks Banks to a group 1993 3 3 2 1 3 1994 1 4 3 1 4 1995 1 5 4 1 5 1996 1 6 5 1 6 1997 2 8 6 2 8 1998 4 12 9 3 11 1999 8 20 14 6 17 2000 14 34 23 11 28 2001 5 39 25 14 31 2002 4 43 29 14 33 Table 2: Number of banks using credit scoring for mortgage loans by province. Minimum Maximum Average 1999 2 11 4.7 2000 4 16 7.3 2001 3 17 8.8 2002 5 23 10.9 21
Table 3: Descriptive statistics at the bank-province level. Variable Mean N Max Min Std. Dev. LN M ORT -0.57 18728 7.18 -13.82 2.36 DCS 0.1 18728 1 0 0.3 T IM E 0.25 18728 8 0 0.95 T IM ESQ 0.96 18728 64 0 5.57 SIZE 8.77 18681 12.26 1.61 1.81 CAP IT AL 6.01 18466 9.53 0 1.75 COST S 0.05 18448 0.69 0 0.03 BRAN CHES 306.15 18728 2235 0 371.71 BRM KT 5.1 18728 440 0 16.28 DGR 0.83 18728 1 0 0.38 HERF 0.09 18728 0.24 0.04 0.04 RAT ES 7.17 18728 11.27 4.16 1.22 GDP 8.93 18728 11.47 7.01 0.88 REALEST 7.38 18728 8.19 6.71 0.3 Table 4: Descriptive statistics at the province level. Variable Mean N Max Min Std. Dev. LN M ORT M KT 4.92 412 8.61 1.9 1.09 W EIGHT 0.03 412 0.1 0 0.02 SCORIN G 4.55 412 17 0 3.47 N BAN KS 136.18 412 393 61 45.8 HERF 0.09 412 0.24 0.03 0.04 RAT ES 7.35 412 11.27 4.16 1.23 GDP 8.69 412 11.47 7.01 0.77 REALEST 7.31 412 8.19 6.71 0.28 22
Table 5: Consequences of the adoption of credit scoring on mortgage loans supply at the bank-province level. Ordinary least square estimation with province fixed effects. Dependent variable: logarithm of new mortgage loans by bank and province. Standard errors in brackets. Statistically different from zero, respectively at: *** 99%, ** 95% and * 90% significance level. Time and province dummies not reported for brevity. (1) (2) (3) DCS 0.303*** - - (0.046) T IM E - 0.054*** 0.173*** (0.013) (0.036) T IM ESQ - - -0.022*** (0.006) SIZE 0.549*** 0.563*** 0.546*** (0.031) (0.031) (0.032) CAP IT AL -0.508*** -0.520*** -0.503*** (0.029) (0.030) (0.030) COST S 6.326*** 6.406*** 6.314*** (0.618) (0.622) (0.622) BRAN CHES 0.002*** 0.002*** 0.002*** (0.000) (0.000) (0.000) BRM KT 0.054*** 0.054*** 0.054*** (0.004) (0.004) (0.004) DGR -0.632*** -0.617*** -0.648*** (0.050) (0.051) (0.052) CON ST -2.659*** -2.709*** -2.643*** (0.217) (0.218) (0.216) N. obs. 18,245 18,245 18,245 F-test 45.73*** 44.86*** 45.21*** R-squared 0.313 0.313 0.313 23
Table 6: Consequences of the adoption of credit scoring on mortgage loans availability at the province level. Ordinary least square estimation. Dependent variable: logarithm of new mortgage loans by province. Standard errors in brackets. Statistically different from zero, respectively at: *** 99%, ** 95% and * 90% significance level. Time dummies not reported for brevity. (1) (2) (3) W EIGHT 8.354*** - - (2.370) SCORIN G - 0.066*** 0.058*** (0.017) (0.017) N BAN KS - -0.003*** - (0.001) HERF -0.400 - -0.272 (0.499) (0.491) RAT ES -0.137*** -0.136*** -0.143*** (0.021) (0.022) (0.022) GDP 1.024*** 1.079*** 0.938*** (0.033) (0.064) (0.040) REALEST 0.703*** 0.703*** 0.664*** (0.117) (0.119) (0.119) CON ST -8.001*** -8.680*** -7.431*** (0.791) (0.938) (0.829) N. obs. 412 412 412 F-test 413.53*** 455.29*** 397.46*** R-squared 0.875 0.877 0.875 24
Appendix Table A1 - Data Description. All the variables are yearly and refer to the period from January 1999 to December 2002. LN M ORTi,j,t The log of the new mortgage loans extended by bank i in province j at time t. LN M ORT M KTj,t The log of the new mortgage loans extended in province j at time t. T IM Ei,t−1 Number of years since bank i adopted credit scoring for mortgage loans at time t − 1. T IM ESQi,t−1 The square of the number of years since bank i adopted credit scoring for mortgage loans at time t − 1. W EIGHTj,t−1 Ratio between the number of adopting banks on the total number of active banks in province j at time t − 1. DCSi,t−1 Dummy variable that takes value 1 if bank i had credit scoring at time t − 1 and 0 otherwise. SCORIN Gi,t−1 Number of banks in province j using credit scoring at time t − 1. SIZEi,t−1 Log of total assets of bank i at time t − 1. CAP IT ALi,t−1 Log of bank i capital at time t − 1. 25 COST Si,t−1 Ratio between operating expenses and total assets of bank i at time t − 1. N BAN KSj,t−1 Number of banks in province j at time t − 1. BRAN CHESi,t−1 Number of branches of bank i at time t − 1. BRM KTi,j,t−1 Number of branches of bank i at time t − 1 in province j. HERFj,t−1 Herfindahl index computed on loans in province j at time t − 1. RAT ESj,t−1 Average interest rates on loans in province j at time t − 1. GDPj,t−1 Log of the per capita real GDP in province j at time t − 1. REALESTj,t−1 Average real estate price in province j at time t − 1. DGRi,t−1 Dummy variable that takes value 1 if bank i was part of a group at time t − 1 and 0 otherwise.
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