2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Mutual Guaranteed Loans In Italy: The Determinants Of Defaults Lorenzo Gai - University of Florence, Italy Phone: +39 055/4374705 Federica Ielasi – University of Florence, SDA Bocconi Milan, Italy Phone: +39 055/4374731 Federico Rossi - University of Florence, Italy Phone: +39 055/4374705 July 2-3, 2013 Cambridge, UK 1 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Mutual Guaranteed Loans In Italy: The Determinants Of Defaults ABSTRACT The mutual guarantee is playing an increasingly important role as an instrument of economic policy in Europe: it aims at mitigating the effects of credit rationing and promoting the revitalization of SMEs. However, the growth of insolvent companies had led to an increase in the rate of defaults of guaranteed loans, resulting in profitability and liquidity tensions for many Mutual Guarantee Institutions (MGIs). The paper intends to verify the relevance of some qualitative determinants for the classification of mutual guaranteed loans into different categories of risk. The analysis aims to investigate whether the default depends on elements relating to the MGI, the lending bank and the type of loan and guarantee, in addition to drivers related to the company financed. The analysis, focuses on the overall guaranteed portfolio from 19 Italian MGIs. Based on the study of the total stock of performing loans of these institutions at the end of 2010, we investigate the determinants of the defaulted positions at the end of June 2011. The analyzed sample is composed of 167,777 guaranteed loans, of which 11,349 in default. The amount of guarantees under study is approximately € 7.5 billion, corresponding to over € 15 billion of bank loans. Using regression models we find out which variables are significantly associated with the default of mutual guaranteed loans. The expected result is a significant correlation of the degree of risk of the loan with some qualitative characteristics of the MGI and the bank, the type of loan and issued guarantee. July 2-3, 2013 Cambridge, UK 2 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 INTRODUCTION The economic and financial crisis that has unfolded since 2007 has significantly impacted on the Italian Mutual Guarantee Institutions (MGIs) system. Increased difficulties for SME's in accessing bank loans due to the dramatic deterioration in general solvency conditions, have led to an increase in demand for mutual guarantees. Against this background, there has been a significant increase in the default rates of guaranteed loans; this, in turn, resulted in additional liquidity needs for MGIs as well as higher capital requirements to adequately manage risks and cope with income imbalances. The Bank of Italy has stressed the need for MGIs to improve their risk analysis and management processes: “Initial inspections on MGI's and collected documentary information have shown that there are widespread shortcomings in risk assessment techniques, both in the preliminary investigation stage of the lending process and in the subsequent monitoring of loans”. More specifically, “in the preliminary investigation stage, there is the need to adopt classification systems capable of accurately classifying enterprises; when issuing a guarantee, business development goals must be balanced against the need to operate in a situation where risks are constantly controlled” (Baldinelli, 2012). There is a need for MGIs to define appropriate screening criteria and informed risk taking policies. This paper aims to investigate some of the key drivers that may impact on the performance of mutual guaranteed loans, focusing in particular on factors external to the guaranteed entity, such as the characteristics of the MGI, the lending bank as well as the loan and the guarantee itself. The analysis of factors external to the guaranteed entity is particularly significant with respect to the MGIs’ system. These institutions are often called upon to guarantee loans granted to firms that are not required to prepare financial statements. In addition, access to data from the July 2-3, 2013 Cambridge, UK 3 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Italian Credit Register relating to enterprises' behaviour in the financial system is currently limited to larger supervised MGIs. After reviewing the literature on the difficulties faced by MGIs in effectively assessing the risk of default by guaranteed counterparties, this paper presents the analysed sample and the methodology used to evaluate the risk factors that may be applied in the construction of a specific scoring model for MGIs. The third section presents the results obtained from an empirical analysis of the performing and defaulted loans under investigation, while in the fourth section we outline the main conclusions while offering some suggestions for further research. 1. REVIEW OF THE LITERATURE The overall beneficial effects produced by MGIs on guaranteed SMEs have been thoroughly investigated in several research works on MGIs (Berger and Udell, 1995; Levitsky, 1997; Riding and Haines, 2001; Bennet et al., 2005; European Commission, 2005; Freixas and Rochet, 2008; Honohan, 2010; Canaan, 2011; Gai, 2011; KPMG, 2011; OECD, 2011; Leone and Vento, 2012; De Vincentiis and Nicolai, 2012). These effects can be divided into direct and indirect effects. Direct effects refer to SMEs’ improved opportunities in accessing bank credit. SMEs typically face more difficulties compared with large-sized enterprises in raising funds, due to the higher risk perceived by lenders, the high administration costs associated with small loans, information asymmetry and the widespread lack of adequate guarantees. According to the literature, all these shortcomings can be mitigated by mutual guarantees, thus promoting an increase in the amount of credit available to SMEs. In this respect, July 2-3, 2013 Cambridge, UK 4 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Mistrulli and Vacca (2011) found that between 2007 and 2009 SMEs with loans backed by mutual guarantees were much less affected by the credit crunch. The lower credit risk perceived by banks as measured by the product of the probability of default (PD) and the loss given default (LGD), is the major factor that explains the above results. The mutual guarantee in fact reduces the LGD as measured by banks, and, under certain circumstances, it also contributes to a reduction in banks' capital requirements. Some empirical analyses have also shown that the reduction in credit risk associated with mutual guaranteed loans also results from a decrease in the PD of borrowing enterprises (Columba et al ., 2009, 2010; Bartoli et al., 2012). The literature points out that the PD for a firm affiliated with an MGI is lower compared to non-affiliated firms. This would be consistent with the view that MGIs can improve banks’ performances in screening and monitoring SMEs, thus also reducing the administrative costs of individual loans. The lower PD associated with guaranteed loans could be mainly attributed to the MGIs’ ability in dealing with and mitigating the problems of information asymmetry that characterise bank loans (Levitsky, 1997; Freixas and Rochet, 2008; Columba et al. 2009, 2010; OECD, 2011). This ability is related to better knowledge, especially compared to larger banks, of the local business and peer pressures exerted among affiliated firms (Stiglitz, 1990; Varian, 1990). Bartoli et al. (2010, 2012) argue that the information role played by MGIs with respect to banks is even more significant during downturns, when bank scoring and rating systems, based on numerous pro-cyclical variables, become less important. The literature has shown that MGIs’ guarantees not only increase the amount of available credit (Honohan, 2010), but they also reduce the cost of credit (Bennet et al., 2005; Kang and Heshmati, 2008). With regard to the Italian market, Columba et al. (2009, 2010), as well as July 2-3, 2013 Cambridge, UK 5 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Mistrulli and Vacca (2011) highlighted the MGIs’ positive contribution in reducing the interest rate firms pay on their loans. Studies on the role of MGIs have shown that the benefits these institutions provide by facilitating the relationship between banks and firms have produced positive effects on SMEs’ productivity and, more generally, on the real economy of the countries involved, with an impact, for example, on technological development and employment rates (OECD, 2011). These effects may be classified as indirect effects. In this regard, Kang and Heshmati (2008) evaluated the effect of guarantees on the SMEs’ performance; Roper (2009) analysed the effectiveness of guarantee schemes in promoting the growth of innovative and technologically advanced small and medium-sized enterprises; on the basis of data from MGIs of different European countries, AECM (2010) found a correlation between the issue of new mutual guarantees and the ability to retain and create new jobs; Schmidt and Elkan (2010) quantified the macroeconomic effects of bank guarantees in Germany. The recent period of intense economic and financial turbulence and the increased rate of nonperforming firms, however, have also brought to light the weaknesses entrenched in the role of MGIs and have revived doubts about the effectiveness of their interventions: “The extent to which credit guarantee schemes (CGSs) actually provide these benefits is a major area of debate. Experience suggests that credit guarantee schemes do play a role in expanding credit to SMEs. However, empirical evidence on the exact nature and size of the impact of CGSs is inconclusive” (OECD, 2011). It has been verified that while the engagement of an MGI may reduce information asymmetries between banks and firms, yet it does not allow for an effective control of moral hazard situations. Mutual guarantees are an outside collateral that is not directly provided by the borrower, and accordingly more subject to a moral hazard effect, which is further July 2-3, 2013 Cambridge, UK 6 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 intensified when public funds supplement the guarantee (Jimenez and Saurina, 2004; Mistrulli and Vacca, 2011). In addition, since the cost of the guarantee provided by the MGI is only partially offset by a decrease in the interest rate paid on the loan (Camino and Cardone, 1999), it has been argued that the firms that make use of MGIs do not represent a random sample of SMEs but rather a subset characterised by a higher risk profile compared with the overall average. Only firms that would otherwise have their loan application rejected from banks are apparently willing to bear the guarantee cost. These considerations seem to be confirmed by evidence of a deterioration in loans credit quality that is more significant for loans secured by MGIs than for those granted to other firms, especially during economic downturns. According to Mistrulli and Vacca (2011), the rate of loans becoming non-performing during the recent economic and financial crisis was higher for firms backed by mutual guarantees than for similar enterprises that were not assisted by mutual guarantees. This situation, where MGIs appear to provide guarantees to riskier SMEs, is exacerbated by the general higher vulnerability of SMEs ascertained during the most adverse periods and their relatively high mortality rates (OECD, 2011). Recent empirical analyses seem to contradict the conclusions reached by other studies which, on the contrary, show that SMEs that are members of MGIs have a lower PD even at the height of the crisis (Bartoli et al., 2012). The deterioration in the quality of loans backed by MGIs and the consequent need to control moral hazard situations call for improved methods for screening and monitoring the guaranteed firms, allowing for an accurate assessment of counterparty creditworthiness. This would not only keep the economic and financial performance of MGIs under control, but would also limit the fees payable by their members (Gai, 2011). This study is part of a line of research that aims to explain the determinants of the PD for a mutual guaranteed firm, by verifying the drivers contributing to the defaults recorded by July 2-3, 2013 Cambridge, UK 7 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 MGIs during the recent crisis. Such analysis aims to identify some statistically significant variables in order to subsequently construct a scoring model that can be used by specialised financial institutions when providing mutual guarantees. The model is built using the methodologies suggested by the literature on the expected PD, discussed in the following section (Siddiq, 2005; Engelmann and Rauhmeier, 2006; Gai, 2008; Loeffler and Posch, 2011). 2. SAMPLE AND METHODOLOGY The sample is composed of a secured portfolio from 19 Italian MGIs at the end of 2010. Starting from that date we observed the defaulted positions at the end of June 2011. The overall sample consists of 167,777 guaranteed loans, including 11,349 defaulted; the total amount of guarantees is equal to about 7.5 billion euro. The sample corresponds to about two-thirds of the stock of total guarantees issued by the Italian MGIs and could be considered statistically very robust. This sample analysis aims to investigate the materiality of a set of independent variables in explaining customers’ default: size of the lending bank; business sector of the enterprise; geographical area where the MGI is located; geographical area where the firm is located; type of loan granted by the bank; percentage ratio of the issued guarantee to the amount of the loan; whether a reinsurance/counter guarantee is provided; guaranteed amount. July 2-3, 2013 Cambridge, UK 8 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 The impact of the independent variables on SME’s default was analysed according to a process entirely analogous to that used for the construction of a rating model (Bren et al., 2002; Cangemi et al., 2003; Basel Committee on Banking Supervision, 2005): Step 1: Univariate analyses Hosmer-Lemenshow test and Wald test Estimation of the coefficients Receiver Operating Character (ROC) curve Step 2: Multivariate analysis Correlation analysis for pairs of variables Stepwise binary logistic regression ROC curve On the basis of the independent variables that are a priori suitable for use as drivers of default, these two steps are intended to identify a limited number of such variables that have the best theoretical and ‘qualitative’ characteristics. Univariate analysis aims to study the behaviour of independent variables as separately considered and to verify whether they are suitable for inclusion in the model to estimate default. The tests carried out for each variable (with the results being shown in the appendix) are illustrated as follows. a) Hosmer-Lemenshow test and Wald test. The observations are divided into deciles based on the expected probability of the default event. To check the goodness of the model, the event and non-event observations are compared with the expected values under the assumption of a model that accurately predicts the response variable. July 2-3, 2013 Cambridge, UK 9 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 b) Estimation of the coefficients. Through this estimation, the sign and the ‘intensity’ of the i coefficient for each xi variable are observed, calculated using the logistic regression model. Variables that show a coefficient with an ‘inverted’ sign with respect to expected results are excluded: this feature may in fact point to poor quality of the input data and in any case a response by the model that is not clear with respect to expected default. Therefore only those variables that have a unique direct or indirect relation with the logistic score are selected (the score increases when the variable value increases or decreases when the variable value increases throughout the entire range of that variable values). c) ROC Curve. This method evaluates how the logistic regression performs in correctly classifying one of two groups (performing/default). The summary statistics of the curve known as Area Under the Curve (AUC) - was chosen as the method for selecting the variables: therefore those variables that show a higher AUC level are preferred. We preferred to use the ROC curve instead of a similar tool - CAP - as the former does not require that the composition of the sample reflects the actual performing/default proportion. With regard to the second step of the scoring model construction, the binary logistic regression was developed using the ‘loan status’ as the dependent variable, which takes the value 1 if the loan went into default or 0 if the loan is still performing at the relevant date. Therefore, the expected PD, which in this case coincides with the logistic score as the sample used reflects the actual performing/default composition of the population, is given by the following equation: yi = 1/ [1+exp(-(β0 + βixi)] (1) or July 2-3, 2013 Cambridge, UK 10 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 PDi = 1/ [1+exp(-(β0 + β1MGIarea + β2BankSize + β3TypeGuar + β4SMEsect + β6TypeLoan β5SMEarea + β7Amount))] + (2) The coefficients 1, ... 8 and the intercept 0 are estimated by iterative procedure (stepwise) through the maximum likelihood method. The independent variables xi have the following meanings: MGIarea: is the geographical area where the MGI is located. Italian provinces were divided into three main geographical areas: North, Centre and South/Islands; BankSize: is the size of the bank that granted the loan. This variable may have three values: Large, Medium and Small; TypeGuar: is the type of guarantee issued by the MGI. It may be broken down into four kinds, depending on how the guarantee can be enforced by the bank and the MGI financial liability. In particular, MGIs’ operations may be segregated, subsidiary, segmented or Basel compliant, as shown in Table 1 below; SMEsect: is the business sector in which the firm operates. A distinction is made between agriculture/forestry/fisheries, trade, mining, industry/construction and services; SMEarea: is the geographical area where the borrowing SME's is located. Italian provinces were divided into three main geographical areas: North, Centre and South/Islands; TypeLoan: is the type of loan granted by the bank to the SME. The numerous types of loans available were aggregated in four broad categories: current account overdrafts, advances on invoices, unsecured term loans, mortgage loans; Amount: the amount of the guarantee provided by the MGI in favour of the SME (as detailed in euro). July 2-3, 2013 Cambridge, UK 11 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Table 1: MGIs’ operations broken down by mode of enforcement/financial liability 3. ANALYSIS OF RESULTS Before analysing the variables that have a significant relationship with customers default, a test was conducted to ascertain the existence of significant differences between the characteristics of performing loans compared with those in default. In particular, we examined differences in some aspects of the lending bank, the MGI, the borrower, the loan and the guarantee. The following figures show the results obtained, highlighting, for almost all of the variables considered, a significant distinction between the two sub-samples (performing and default). The most significant differences are found in particular with regard to the characteristics of the bank, the loan and the guarantee. Figure 1: Performing and defaulted guarantees by bank size Figure 2: Performing and defaulted guarantees by MGI geographical area Figure 3: Performing and defaulted guarantees by firm’s geographical area and sector Figure 4: Performing and defaulted guarantees by type of loan Figure 5: Performing and defaulted guarantees by type of guarantee Default situations are more frequently associated with loans granted by large banks to firms operating in Northern Italy, in the form of unsecured term loans, backed by a segregated-type guarantee, issued by MGIs established in the northern regions. July 2-3, 2013 Cambridge, UK 12 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 We subsequently carried out the univariate logistic regression analyses for the available variables, in order to verify the robustness of those variables for the functioning of the model. The fit tests performed and the regression coefficient estimations, which are detailed in the appendix, confirm the validity of the variables selected a priori. The final syntax of the model was defined by excluding those variables characterised by significant pair correlation. As shown in the correlation matrix (Table 2 below), the geographical area of the firm's location is strongly correlated with that of the MGI. This result turns out to be consistent with expectations. Excluding the larger MGIs, in fact, we observe that the majority of members reside in the same region as the relevant MGI. Table 2: Correlation matrix Between the two strongly related variables, the ‘MGI location’ was excluded from the model, as this variable showed a smaller area below the curve in the relevant ROC graph. After completing the variables selection process we went on with the construction of the analysis model, using stepwise logistic regression. In particular, a step forward regression was used, which, starting from a model with the intercept only, adds the significant variables one after the other, in accordance with the Wald statistic. The differentiation between the two performing/default sub-samples is confirmed by the results provided by the Logit Regression (see appendix). The model, by strengthening the statistical validity of the analysis, provide again a situation where all the selected variables are significant (characterised by a significance coefficient of less than 5%). In general, the variables selected a priori appear as crucial in discriminating between the two loan samples and contribute to the definition of the binary dependent variable - performing/default considered in this analysis. July 2-3, 2013 Cambridge, UK 13 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 The classification table in the appendix shows that the percentages of correct classification between the two sub-samples resulting from the model are quite high. Considering the overall correct classification, we can see that the higher figure is related to step four of the regression model. The model whose prediction depends on the variables available at that step, i.e. the type of guarantee provided, the bank size, the type of loan and the guaranteed amount, correctly classifies 71% of analysed loans. The breakdown between correct prediction of performing positions (71.1%) and defaulted positions (69.9%) is strongly balanced. This step is therefore deemed to be the best calibrated step of the model. Based on the empirical analysis carried out, the final model selected for estimating defaults on transactions guaranteed by the MGIs is as follows: PDi = 1/ [1+exp(-(β0 + β1BankSize + β2TypeGuar + β3TypeLoan + β4Amount))] (3) The results produced by the ROC curve constructed from this model are quite high. The area below the curve, shown in Figure 6, has a value of 73.6%. Figure 6: ROC curve regression model It is interesting to see that all variables representing the characteristics of the borrowing firm were excluded from the model. The actual deterioration of mutual guaranteed loans does not have a clear relationship with the sector of the firm or its geographical location, but rather with the size of the lending bank, the kind of guarantee given, the type of loan and the guaranteed amount. By analysing both the variables selected by the model at the various steps, and the estimated coefficients for the independent variables, we can see that the type of bank and the type of guarantee are particularly significant drivers of the PD of mutual guaranteed loans. July 2-3, 2013 Cambridge, UK 14 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 An analysis of the coefficients, as detailed in the appendix, shows that with reference to the type of bank the correlation is negative. Given the classification made with regard to such variable, this means that defaults are more frequently associated with loans granted by large banks. On the contrary, with respect to the form of guarantee, the correlation is positive. Thus, given the classification of the types of guarantees, the lowest PD is recorded for Basel compliant guarantees, while segregated operations are characterised by a high risk of default. It should be noted that the developed model has mainly statistical and descriptive purposes and only intends to illustrate the conditional relations between variables. The estimated parameters are to be interpreted as correlations and not as a cause and effect relationship. In other words, it is not possible to infer that either the bank size or the form of guarantee bring about higher PD of the guaranteed firm. It is instead accurate to say that, other things being equal, the default in analysed loans is more frequently associated with loans granted by large banks and backed by specific forms of mutual guarantees. These conditional relations may conceal some shortcomings in MGIs’ processes to screen and monitor customer creditworthiness. Firms requesting a guarantee are often introduced to the MGI by the lending bank, especially when the financial institution is large. The MGI is not often involved in the customer search and selection, which could increase the risks taken by the MGI, if the in-house evaluation process is not sufficiently rigorous and independent. The risk taken by the MGI when granting the guarantees can also be influenced by its financial liability and the way in which the bank enforces the guarantee in the event of borrower's default. When the guarantee is issued in the segregated form, which is associated with a high incidence of defaults, the MGI is exposed to the least financial and liquidity risks, as opposed to the Basel compliant guarantee, which is associated with a limited incidence of July 2-3, 2013 Cambridge, UK 15 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 defaults. The MGI's unlimited financial liability and the banks immediate enforcement of the guarantee against it, upon occurrence of the firm's default, might have led to more rigorous screening processes in the event of Basel compliant operations. More specifically, the segregated operation is carried out by issuing collateral that is linked to the Provision for Possible Loan Losses recognised as liabilities in the MGI's Balance Sheet and which are invested in cash balances and portfolio securities (which are not available as they are pledged in favour of the bank). Unlike the Basel compliant operation, any possible enforcement by the bank against the MGI only occurs after recovery from the principal debtor has failed. Furthermore, with respect to the issued guarantees, the MGI has only a limited liability (up to the amount of the mentioned provision) for the losses incurred by the bank. Unlike the Basel compliant operation, the MGI’s net assets are ‘unassailable’ even when the Provisions are insufficient to cover the losses incurred by the lending banks as a result of borrowers' default. Also with respect to the supervised MGIs, the guarantees issued in this form do not require additional regulatory capital against the credit risk taken. However, we cannot rule out that there may be other reasons justifying the lower concentration of defaults in the Basel compliant mode of operation, especially when compared to segregated operations: a) Basel compliant guarantees have recently been introduced when the MGIs' new regulatory regime has come into effect. As the PD increases over time since a loan was granted, this may have led to slower growth in the stock of defaulted loans associated with Basel compliant operations compared with the other types of operations; b) in the event of segregated guarantees (as well as subsidiary guarantees) the payment arrangements require that the bank complete the enforcement process against the guaranteed borrower before the MGI pays the bank. Given the long time this process usually requires, the positions in question are more likely to ‘stratify’ over time. July 2-3, 2013 Cambridge, UK 16 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 4. CONCLUSIONS According to the analyses performed, the defaulted positions held by the MGIs are significantly correlated with the size of the bank granting the loan and the form of guarantee issued by the MGI. Such results are not intended to assert any cause-effect relationship between these variables and customer default, they rather provide a description of the phenomenon in order to identify any critical issues in both the MGIs’ and the lending banks’ risk-taking processes. First, the empirical analysis has shown that PD is strongly correlated with bank size. Despite this figure may be partially biased by the inclusion in the sample of some large MGIs, this evidence deserves some remarks. First, it raises a doubt as to the effectiveness of the internal rating models used by large banks in screening and monitoring customers compared to less massive and more ‘personalised’ assessment processes. Secondly, the principles in support of local banking seem to be increasingly more important as a source of competitive advantage in banks loan portfolio management, especially with regard to smaller size enterprises. The analyses have also shown that the type of guarantee issued affects not only the amount of MGIs’ and banks’ capital requirements as well as the financial liability and available liquidity of MGIs, but also the rate of default recorded on these loans. The empirical analysis therefore points to the need for a more proactive approach by MGIs in screening enterprises eligible for mutual guarantees, as well as the opportunity for strengthening risk assessment and monitoring models, even when the form of guarantee involves limited financial liability and moderate liquidity risk. July 2-3, 2013 Cambridge, UK 17 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 These needs are all the more pressing in current times, as MGIs’ portfolios have become significantly riskier, affecting the amount of capital required to adequately manage risks as well as the financial results for the period. REFERENCES AECM (2010). 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Monitoring Agents with other Agents, Journal of Institutional and Theoretical Economics, Vol. 146, no. 1 STATISTICAL APPENDIX Table 3: Contingency table for the Hosmer-Lemeshow test - univariate analysis Value = 0 Observed Step 1 MGI geographical area Step 1 Bank size Step 1 Expected Value = 1 Observed Expected Total 1 20581 20402,91 883 1061,092 21464 2 54239 54595,18 3931 3574,819 58170 3 81608 81429,91 6535 6713,091 88143 1 10591 10889,91 619 320,087 11210 2 64518 63915,35 2757 3359,647 67275 3 81319 81622,74 7973 7669,265 89292 1 83333 81931,59 1546 2947,413 84879 2 26703 27491,06 2569 1780,937 29272 3 32207 34835,11 6692 4063,886 38899 4 14185 12170,24 542 2556,764 14727 1 3889 3777,872 133 244,128 4022 2 42207 42474,2 3127 2859,805 45334 3 130 130,822 10 9,178 140 4 50086 49832,47 3389 3642,533 53475 5 60116 60212,64 4690 4593,357 64806 1 27379 27331,59 1165 1212,406 28544 2 45224 45322,85 2929 2830,151 48153 Type of guarantee Step 1 Business sector Step 1 Firm geographical area July 2-3, 2013 Cambridge, UK 21 2013 Cambridge Business & Economics Conference Step 1 Type of loan Step 1 ISBN : 9780974211428 3 83825 83773,56 7255 7306,444 91080 1 474 462,481 11 22,519 485 2 46704 47410,26 3376 2669,742 50080 3 15828 15962,48 1174 1039,518 17002 4 40299 37957,34 517 2858,659 40816 5 53123 54635,44 6271 4758,561 59394 1 16107 16161,967 671 616,033 16778 2 16127 15832,068 685 979,932 16812 3 15714 15448,991 819 1084,009 16533 4 15958 15613,100 820 1164,900 16778 5 15624 15578,209 1155 1200,791 16779 6 15801 15723,792 1164 1241,208 16965 7 15433 15532,450 1345 1245,550 16778 8 14654 14874,176 1428 1207,824 16082 9 15350 15507,183 1428 1270,817 16778 10 15660 16156,064 1834 1337,936 17494 Amount Table 4: Classification table - univariate analysis Expected Value Observed MGI geographical area July 2-3, 2013 Cambridge, UK Step 1 Value 0 0 1 74820 81608 Correct % 47,8 22 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 1 4814 6535 Total % Step 1 48,5 Value Bank size 0 75109 81319 48 1 3376 7973 70,3 Total % Step 1 49,5 Value Type of guarantee 0 110036 46392 70,3 1 4115 7234 63,7 Total % Step 1 57,6 69,9 Value 0 46226 110202 29,6 1 3270 8079 71,2 Business sector Total % Step 1 32,4 Value Firm geographical area 0 72603 83825 46,4 1 4094 7255 63,9 Total % Step 1 47,6 Value Type of loan 0 63006 93422 40,3 1 4561 6788 59,8 Total % Step 1 41,6 Value Amount 0 46440 109988 29,7 1 2078 9271 81,7 Total % 33,2 Table 5: Variables in the equation - univariate analysis B Step 1 MGI geographical area Constant Step 1 Bank size Constant July 2-3, 2013 Cambridge, UK E.S. Wald df Sig. Exp(B) -0,23 0,015 247,149 1 0 0,794 -2,265 0,024 8799,666 1 0 0,104 -0,581 0,018 1029,976 1 0 0,559 -1,784 0,027 4524,747 1 0 0,168 23 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Step 1 Type of guarantee 0,588 0,009 4319,054 1 0 1,801 Constant -3,913 0,024 25796,14 1 0 0,02 0,041 0,008 29,244 1 0 1,042 -2,78 0,031 8148,529 1 0 0,062 -0,334 0,014 563,141 1 0 0,716 -2,105 0,023 8424,022 1 0 0,122 0,145 0,008 324,962 1 0 1,156 -3,168 0,032 9534,923 1 0 0,042 Step 1 Amount -,038 ,002 351,962 1 ,000 ,962 Constant -2,485 ,012 46418,248 1 ,000 ,083 Step 1 Business sector Constant Step 1 Firm geographical area Constant Step 1 Type of loan Constant Table 6: Classification table - multivariate analysis Expected Value Observed 0 1 Step 1 Value 0 110036 46392 1 4115 7234 Total % 70,3 63,7 69,9 Step 2 Value 0 103001 53427 1 3046 8303 Total % 65,8 73,2 66,3 Step 3 Value 0 108812 47616 1 July 2-3, 2013 Cambridge, UK Correct % 3316 8033 69,6 70,8 24 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Total % 69,6 Step 4 Value 0 111242 45186 1 3411 7938 Total % 71,1 69,9 71,0 Step 5 Value 0 104181 52247 1 3248 8101 Total % 66,6 71,4 66,9 Step 6 Value 0 105700 50728 1 3305 8044 Total % 67,6 70,9 67,8 Table 7: Variables in the equation - multivariate analysis Wald df Sig. Exp(B) 4319,054 1 ,000 1,801 -3,913 ,024 25796,136 1 ,000 ,020 B Step 1 Type of guarantee Constant ,588 ,009 -,569 ,019 934,120 1 ,000 ,566 ,569 ,009 4194,558 1 ,000 1,767 -3,045 ,036 7328,495 1 ,000 ,048 -,609 ,019 1051,013 1 ,000 ,544 ,613 ,009 4545,709 1 ,000 1,846 Amount -,058 ,002 656,407 1 ,000 ,944 Constant -2,880 ,036 6318,092 1 ,000 ,056 Step 2 Bank size Type of guarantee Constant Step 3 Bank size Type of guarantee July 2-3, 2013 Cambridge, UK E.S. 25 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 -,617 ,019 1076,141 1 ,000 ,540 Type of guarantee ,609 ,009 4469,160 1 ,000 1,839 Type of loan ,148 ,009 300,178 1 ,000 1,159 Amount -,057 ,002 642,381 1 ,000 ,944 Constant -3,417 ,049 4955,763 1 ,000 ,033 -,622 ,019 1097,229 1 ,000 ,537 ,590 ,009 4087,573 1 ,000 1,804 -,237 ,014 286,948 1 ,000 ,789 ,146 ,009 290,208 1 ,000 1,157 Amount -,058 ,002 651,784 1 ,000 ,944 Constant -2,989 ,055 2967,163 1 ,000 ,050 -,626 ,019 1112,773 1 ,000 ,535 ,595 ,009 4098,263 1 ,000 1,813 Business sector -,042 ,008 27,282 1 ,000 ,959 Firm geographical area -,250 ,014 309,611 1 ,000 ,778 ,145 ,009 287,568 1 ,000 1,156 Amount -,057 ,002 641,500 1 ,000 ,944 Constant -2,814 ,064 1919,023 1 ,000 ,060 Step 4 Bank size Step 5 Bank size Type of guarantee Firm geographical area Type of loan Step 6 Bank size Type of guarantee Type of loan TABLES AND FIGURES July 2-3, 2013 Cambridge, UK 26 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Table 2: MGIs’ operations broken down by mode of enforcement/financial liability Mode of the Bank’s enforcement of payment against the MGI First demand After enforcement of payment against the principal debtor Limited (without capital Segmented Segregated operations operations absorption for the MGI) MGI financial Basel liability Unlimited (with Subsidiary capital compliant operations absorption for the MGI) operations Table 2: Correlation matrix MGIarea BankSize TypeGuar SMEsect SMEarea TypeLoan Amount MGIarea 100,000% -7,382% -20,269% -24,475% 77,775% 2,381% -6,434% BankSize -7,382% 100,000% 0,116% -6,062% -7,300% 5,330% -3,169% TypeGuar -20,269% 0,116% 100,000% 8,909% -12,748% 3,715% 4,466% SMEsect -24,475% -6,062% 8,909% 100,000% -17,523% -0,167% 4,779% SMEarea 77,775% -7,300% -12,748% -17,523% 100,000% -4,840% -0,249% TypeLoan 2,381% 5,330% 3,715% -0,167% -4,840% 100,000% 0,315% Amount -6,434% -3,169% 4,466% 4,779% -0,249% 0,315% 100,000% July 2-3, 2013 Cambridge, UK 27 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Figure 2: Performing and defaulted guarantees by bank size Figure 2: Performing and defaulted guarantees by MGI geographical area Figure 3: Performing and defaulted guarantees by firm’s geographical area and sector July 2-3, 2013 Cambridge, UK 28 2013 Cambridge Business & Economics Conference ISBN : 9780974211428 Figure 4: Performing and defaulted guarantees by type of loan Figure 5: Performing and defaulted guarantees by type of guarantee Figure 6: ROC curve regression model July 2-3, 2013 Cambridge, UK 29