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HOW SUCCESFUL WERE the “MORE” RATINGS in PREDICTING the IMPACTS
of THE GLOBAL CRISIS in 2008-2009?


Summary
Introduction ......................................................................................................................................... 2
Validation of the MORE ratings on the ENTIRE bankruptcy database (Between the years: 2000-
2009) .................................................................................................................................................... 3
Validation of the MORE ratings on the ENTIRE bankruptcy database; only during the 2008&2009
crisis...................................................................................................................................................... 5
Validation of the MORE rating in Continental Macro Areas ................................................................ 8
   Validation of the MORE rating in West Europe ............................................................................... 9
   Validation of the MORE rating in East Europe ............................................................................... 10
   Validation of the MORE rating in North America .......................................................................... 11
   Validation of the MORE rating in Far East ..................................................................................... 12
   Comments on Continental Macro Areas Rating Evaluation .......................................................... 13
Conclusions ........................................................................................................................................ 13
Appendix ............................................................................................................................................ 14




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                                                                                                                                                   Pag | 1
Introduction

To validate a rating model, we have to demonstrate that:
   1. For bankrupt companies, the assigned rating deteriorates, approaching the default date
      (Bankruptcy dynamics).
   2. The model discriminates between profitable companies and bankrupt companies
      (Discriminating power of the model).
For the above mentioned two steps, we need to have the information on bankrupt companies.
Using the companies labeled as “bankrupt” in ORBIS (a global database which has information on
60 million companies, provided by Bureau van Dijk Electronic Publishing) we have compiled the
following distribution (years: 2000-2009):

                        Country                      Number of bankrupt companies
                        FR                                                         9110
                        BE                                                         8172
                        NL                                                         5232
                        IT                                                         4529
                        UA                                                         1991
                        RO                                                         1207
                        PL                                                         1100
                        FI                                                         1098
                        CZ                                                         780
                        LT                                                         655
                        LV                                                         598
                        EE                                                         525
                        RU                                                         320
                        SK                                                         158
                        Others                                                     318
                                 Table 1 Number of defaulted companies in ORBIS




                             Number of bankroupt companies
                     10000
                      9000
                      8000
                      7000
                      6000
                      5000
                      4000
                      3000
                      2000
                      1000
                         0




                             Fig. 1 Distribution of defaulted companies in ORBIS




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We proposed that the following methodology will be applied:


   1. Validation of the MORE ratings on the ENTIRE bankruptcy database (years 2000-2009);
   2. Validation of the MORE ratings on the ENTIRE bankruptcy database but only in 2008-
      2009 to enhance the knowledge of MORE ratings in the financial crisis.
   3. Validation of the MORE rating in Continental Macro Areas.

In each validation, we followed two steps to demonstrate the following features of the model:
Bankruptcy Dynamics & Discriminating power of the model.


Validation of the MORE ratings on the ENTIRE bankruptcy database
(Between the years: 2000-2009)

To validate MORE ratings, first we studied the evaluation of the bankrupt companies’ ratings
checking their evolution over the years. In this case, all bankrupt companies in ORBIS were used
(around 40,000 companies).
We observed the ratings one, two, three and four years before the FINAL available annual report.




                  Fig. 2 Distribution of the ratings of defaulted companies (entire ORBIS database)




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                                                                                                        Pag | 3
BB

                  B

                  CCC

                  CC

                  C

           Fig. 3 Dynamic of defaulted companies: rating distribution and mean rating (entire ORBIS database)

In order to demonstrate the first feature, it is important to see ratings’ evolution for the bankrupt
companies. From Fig.3, it is possible to observe that the MORE ratings catch the performance
degradation of the companies with a high accuracy, approaching the default date.

It was observed that one year before the last available annual report, 48% of the companies were
classified as risky and 27% as vulnerable, so that 75% of companies had bad economic and
financial ratings. It is very interesting to note that four years before the last accounting year,
MORE ratings classified 64% of the defaulted companies as risky and vulnerable (or worse); and so
MORE has a great ability to predict the default.

As a second step, we had to demonstrate if the model discriminates between the non-defaulted
companies and defaulted companies. To execute this, we used one of the well-known statistical
methods: ROC (Relative or receiver operating characteristic, please see Appendix for details). It is
possible to observe within the following graphs that the model achieved very accurate results in
distinguishing defaulted companies, reaching a AUC (area under the curve ) value of 86 in the last
year, with a very promising AUC value of 73 four years before the final available annual report.
This behavior can be seen when the distribution of the world rating, a typical Gaussian
distribution, where BB is the most probable rating class is compared to the distribution of the
defaulted companies in which the most probable rating classes are the poor ones. (See Fig.4)




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Fig. 4 World rating distribution: non-defaulted companies (left), defaulted companies (right). Entire ORBIS database




              Fig. 5 ROC graphs; one year before: up-left; four year before: down right. Entire ORBIS database.

In conclusion, it is possible to assert that the model predicted the world defaulted companies
with very good accuracy even four years before bankruptcy occurred.


Validation of the MORE ratings on the ENTIRE bankruptcy database; only
during the 2008&2009 crisis

After evaluating the MORE ratings on the entire database, we wanted to extend the study to
investigate if the MORE ratings recognized the financial crisis during the years 2008-2009. This is
because understanding MORE ratings’ success in monitoring the crisis was quite important.


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                                                                                                                       Pag | 5
To do this, the companies which went bankrupt in 2008-2009 were selected and studied in the
same way as before. In this case, the database consisted of around 4,000 companies from all
around the world.




               Fig .6 Distribution of the ratings of defaulted companies (2008-2009 ORBIS database)




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BB

                     B

                     CCC

                     CC

                     C

           Fig 7 Dynamic of defaulted companies: rating distribution and mean rating (2008-2009 ORBIS database)

In the first step; the MORE ratings once again recognized the evolution of the bankrupt companies
approaching the default date. From Fig 7 it is possible to observe that one year before the final
accounting year, the MORE ratings classified 75% of the defaulted companies as vulnerable (or
worse).

It is interesting to note that the MORE ratings had a stable behavior when companies moved
towards bankruptcy, both in 2000-2009 and in the 2008-2009 crisis. This demonstrates that the
MORE methodology was successful in predicting the impacts of the financial crisis.

Again as the second step, we wanted to demonstrate if the model can discriminate between non
defaulted companies and defaulted ones. As we did for the world companies between the years
2000-2009; we also used ROC for the world companies in the 2008- 2009 crisis. According to the
AUC values, the model again achieved very accurate results in distinguishing defaulted companies
reaching an AUC value of 85 in the last year with an AUC value of 73 four years before the final
available annual report. This behavior is seen in the comparison between the distribution of the
world rating (the distribution where BB is the most probable rating class) and the distribution of
the default companies in which the most probable rating classes are the poor ones. (See Fig .8)




   Fig .8 World rating distribution: non-defaulted companies (left), defaulted companies (right). 2008-2009 ORBIS database




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Fig. 9 ROC graphs; one year before: up-left; four year before: down right. 2008-2009 ORBIS database



Validation of the MORE rating in Continental Macro Areas

In order to understand better the behavior of MORE rating, we evaluated the rating performances
in the different Continental Macro Area (following the definitions of ORBIS), defined in the
following tables.

Continental Macro Area                                                          Number of bankrupt companies
West Europe                                                                                           30'000
East Europe                                                                                            9'000
North America                                                                                            120
Far East                                                                                                  50
Rest of the World                                                                                         10


For statistical reasons to apply the ROC evaluation and the rating evolution, we performed the
analysis on: West Europe, East Europe, North America and Far East. In all those cases we don't
used the LAST available information of defaulted companies, but one year before the last year (as
set by Basel II policy).




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Validation of the MORE rating in West Europe


 100%
 90%                                                                                                                                              One year before the last availble
 80%                                                                                                                                                         account
 70%
                                                                                                                                 30,00%
 60%
 50%                                                                    Risky companies (CC-C-D)                                 25,00%
 40%                                                                    Vulnerable companies (B-CCC)
                                                                                                                                 20,00%
 30%                                                                    Balanced companies (BBB-BB)
                                                                                                                                 15,00%
 20%
                                                                        Healthy companies (AAA-AA-A)
 10%                                                                                                                             10,00%
  0%                                                                                                                              5,00%
        One year before Two years before Three years before
        the last available the last available the last available                                                                  0,00%
             account            account            account                                                                                       AAA        AA         A        BBB    BB   B   CCC   CC   C   D



             Two years before the last availble                                                                                                  Three years before the last availble
                         account                                                                                                                              account
 30,00%                                                                                                                          30,00%
 25,00%                                                                                                                          25,00%
 20,00%                                                                                                                          20,00%
 15,00%                                                                                                                          15,00%
 10,00%                                                                                                                          10,00%
  5,00%                                                                                                                           5,00%
  0,00%                                                                                                                           0,00%
            AAA       AA        A       BBB      BB        B        CCC        CC          C         D                                           AAA        AA         A        BBB    BB   B   CCC   CC   C   D

               Fig 10 Dynamic of defaulted companies: rating distribution and mean rating (West Europe ORBIS database)



                                                                                                     Mean rating evolution
                                                 BB            6




                                                 B             5




                                                 CCC           4



                                                 CC            3
                                                                   Three years before the last available   Two years before the last available    One year before the last available
                                                                                 account                               account                                account




                                              Fig 11 Mean rating evolution and ROC graph: West Europe ORBIS database




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                                                                                                                                                                                                               Pag | 9
Validation of the MORE rating in East Europe
  100%
   90%                                                                                                                                               One year before the last availble
   80%                                                                                                                                                          account
   70%
                                                                                                                                     25,0%
   60%
   50%                                                                  Risky companies (CC-C-D)
                                                                                                                                     20,0%
   40%                                                                  Vulnerable companies (B-CCC)
   30%                                                                  Balanced companies (BBB-BB)                                  15,0%
   20%                                                                  Healthy companies (AAA-AA-A)                                 10,0%
   10%
   0%                                                                                                                                  5,0%
          One year before Two years before Three years before
          the last availble the last availble the last availble                                                                        0,0%
              account           account           account                                                                                          AAA       AA          A        BBB   BB   B   CCC   CC   C    D



              Two years before the last availble                                                                                                   Three years before the last availble
                          account                                                                                                                               account
  25,0%                                                                                                                              25,0%

  20,0%                                                                                                                              20,0%

  15,0%                                                                                                                              15,0%

  10,0%                                                                                                                              10,0%

   5,0%                                                                                                                                5,0%

   0,0%                                                                                                                                0,0%
             AAA      AA        A      BBB      BB        B         CCC        CC          C             D                                         AAA       AA          A        BBB   BB   B   CCC   CC   C    D

Fig 12 Dynamic of defaulted companies: rating distribution and mean rating (East Europe ORBIS database)

                                                                                                    Mean rating evolution
                                                           6
                                               BB
                                                           5
                                               B

                                               CCC         4




                                               CC          3
                                                                  Three years before the last availble       Two years before the last available   One year before the last available
                                                                               account                                   account                               account




                                             Fig 13 Mean rating evolution and ROC graph: East Europe ORBIS database




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                                                                                                                                                                                                                Pag | 10
Validation of the MORE rating in North America
       100%
        90%                                                                                                                                 One year before the last availble
        80%                                                                                                                                            account
        70%
                                                                                                                            30,0%
        60%
        50%                                                                 Risky companies (CC-C-D)                        25,0%
        40%                                                                 Vulnerable companies (B-CCC)
                                                                                                                            20,0%
        30%                                                                 Balanced companies (BBB-BB)
                                                                                                                            15,0%
        20%
                                                                            Healthy companies (AAA-AA-A)
        10%                                                                                                                 10,0%
        0%                                                                                                                    5,0%
               One year before Two years before Three years before
               the last availble the last availble the last availble                                                          0,0%
                   account           account           account                                                                             AAA      AA          A        BBB    BB   B   CCC   CC    C   D



                   Two years before the last availble                                                                                      Three years before the last availble
                               account                                                                                                                  account
       30,0%                                                                                                                35,0%

       25,0%                                                                                                                30,0%
                                                                                                                            25,0%
       20,0%
                                                                                                                            20,0%
       15,0%
                                                                                                                            15,0%
       10,0%
                                                                                                                            10,0%
        5,0%                                                                                                                  5,0%
        0,0%                                                                                                                  0,0%
                  AAA      AA        A      BBB      BB        B        CCC         CC         C         D                                 AAA      AA          A        BBB    BB   B   CCC   CC    C   D

      Fig 14 Dynamic of defaulted companies: rating distribution and mean rating (North America ORBIS database)



                                                                                                Mean rating evolution
                                             BB           6




                                             B            5




                                             CCC          4




                                             CC           3
                                                              Three years before the last availble   Two years before the last available   One year before the last available
                                                                           account                               account                               account




                                Fig 15 Mean rating evolution and ROC graph: North America ORBIS database




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                                                                                                                                                                                                    Pag | 11
Validation of the MORE rating in Far East
 100%
  90%                                                                                                                                            One year before the last availble
  80%
  70%                                                                                                                                                       account
  60%
                                                                       Risky companies (CC-C-D)
                                                                                                                                35,0%
  50%
  40%                                                                  Vulnerable companies (B-CCC)                             30,0%
  30%                                                                  Balanced companies (BBB-BB)                              25,0%
  20%
                                                                       Healthy companies (AAA-AA-A)                             20,0%
  10%
   0%                                                                                                                           15,0%
          One year before Two years before T ree years before                                                                   10,0%
          the last availble the last availble the last availble
              account           account           account                                                                         5,0%
                                                                                                                                  0,0%
                                                                                                                                               AAA       AA          A        BBB    BB   B   CCC   CC   C    D



              Two years before the last availble                                                                                               Three years before the last availble
                          account                                                                                                                           account
  45,0%                                                                                                                         45,0%
  40,0%                                                                                                                         40,0%
  35,0%                                                                                                                         35,0%
  30,0%                                                                                                                         30,0%
  25,0%                                                                                                                         25,0%
  20,0%                                                                                                                         20,0%
  15,0%                                                                                                                         15,0%
  10,0%                                                                                                                         10,0%
   5,0%                                                                                                                          5,0%
   0,0%                                                                                                                          0,0%
             AAA      AA        A      BBB      BB        B        CCC        CC          C         D                                          AAA       AA          A        BBB    BB   B   CCC   CC   C    D

Fig 16 Dynamic of defaulted companies: rating distribution and mean rating (Far East ORBIS database)

                                                                                                    Mean rating evolution
                                                BB            6




                                                B             5



                                                CCC
                                                              4



                                                CC
                                                              3
                                                                  Three years before the last availble   Two years before the last available    One year before the last available
                                                                               account                               account                                account




                                                 Fig 17 Mean rating evolution and ROC graph: Far East ORBIS database




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Comments on Continental Macro Areas Rating Evaluation

From the graphs of the MORE rating evaluation in the different Continental Areas (Fig 10, Fig 11,
Fig 12, Fig 13, Fig 14, Fig 15, Fig 16, Fig 17) it is possible to observe that the behavior of the MORE
rating is quite stable and accurate. In every Continental Areas there is a clear downgrade of the
ratings of the defaulted companies approaching to the bankrupt data.
As it is possible to observe from the following table, the accuracy of the MORE rating is quite high
all around the world. MORE rating obtains one slight difference only for the Far East evaluation
where the number of bankrupt companies is very low to have an accurate statistical analysis.

Continental Macro Area         AUC value one year        AUC value two year         AUC value three year
                               before        bankrupt    before bankrupt (Gini      before bankrupt (Gini
                               (Gini value)              value)                     value)
West Europe                          0,83 (0,66)              0,76 (0,52)                  0,72 (0,44)
East Europe                          0,83 (0,66)              0,77 (0,54)                  0,74 (0,48)
North America                        0,9 (0,8)                0,83 (0,66)                  0,79 (0,58)
Far East                             0,77 (0,54)              0,64 (0,28)                  0,55 (0,1)




Conclusions

In order to validate the MORE model, we used the bankruptcy information on companies found in
ORBIS. The entire database and data from the 2008-2009 crisis were taken into account.

Using two well-known statistical methods, ROC & Bankruptcy Dynamic the MORE ratings achieved
very ACCURATE and STABLE results for the entire database as well as data from the crisis period.

The results are stable and this is essential for the validation of the rating method. From this
analysis we were able to confirm the worth of the “world” (entire database) validation.

In order to enhance the quality of the validation, the rating MORE has been evaluated on four
different World macro regions. Also in those cases, the results are accurate and stable between
different economical regions.




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                                                                                                Pag | 13
Appendix

modeFinance vision

The modeFinance vision is to look at the fundamental economic and financial aspects of the
company. The main idea is to evaluate the rating by observing each aspect of the economic and
financial behavior of the company: the better the equilibrium between the different aspects, the
better the final rating.
This idea has been implemented into the MORE (Multi Objective Rating Evaluation) rating model;
the MORE model permits the user to assess the creditworthiness of a company by aggregating and
evaluating the most important sections of the financial and economic behaviors of a company
such as profitability, liquidity, solvency, interest coverage and efficiency.




Unlike the most used rating models, MORE does not provide an output as a statistical measure like
the probability of bankruptcy; but qualitative information about the general creditworthiness of
the analyzed company. This information is expressed through a credit rating scale (shown below).




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Rating class   Rating Macro class Assessment
                                 The company's capacity to meet its financial commitments is extremely
                                 strong. The company shows an excellent economic and financial flow and
   AAA                           fund equilibrium


                                 The company has very strong creditworthiness. It also has a good capital
                  Healthy        structure and economic and financial equilibrium. Difference from 'AAA' is
    AA
                 companies       slight

                                 The company has a high solvency. The company is however more
                                 susceptible to the adverse effects of changes in circumstances and
     A                           economic conditions than companies in higher rated categories


                                 Capital structure and economic equilibrium are considered adequate. The
                                 company's capacity to meet its financial commitments could be affected
   BBB                           by serious unfavourable events
                  Balanced
                                 A company rated 'BB' is more vulnerable than companies rated 'BBB'.
                 companies       Furthermore the company faces major ongoing uncertainties or exposure
    BB                           to adverse business, financial, or economic conditions

                                 The company presents vulnerable signals with regard to its fundamentals.
                                 Adverse business, financial, or economic conditions will be likely to impair
     B                           the company's capacity or willingness to meet its financial commitments

                 Vulnerable
                                 A company rated 'CCC' has a dangerous disequilibrium on the capital
                 companies
                                 structure and on its economic and financial fundamentals. Adverse
   CCC                           market events and an inadequate management could affect with high
                                 probability the company's solvency

                                 The company shows signals of high vulnerability. In the event of adverse
                                 market and economic conditions, the company's strong disequilibrium
    CC                           could increase

                   Risky         The company shows considerable pathological situations. The company's
     C           companies       capacity to meet its financial commitments is very low

                                 The company has not any longer the capacity to meet its financial
     D                           commitments




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The probability of default

The probability of default (PD) provided by modeFinance is coupled with the rating class of each
evaluated company; it is a quantitative information that expresses the possibility that a company
deteriorates its financial and economical strengths; so the definition of PD is “the probability that
a company goes in D class (the worst) within one year.” This means that the PD is the probability
that a company will face distress.
In order to evaluate the probability of default, modeFinance observes the historical variations of
the ratings distribution during the years by using the transition matrix theory (as shown in the
figure below). This means computing the frequency of the rating downgrades in D class by
observing a long historical series of ratings.




This definition of PD comprehends even the probability of bankruptcy; because according to
modeFinance definition, a company rated D should be restructured financially for not going
bankrupt.
In order to validate its rating model and the PD definition, modeFinance tested it on the capability
to discriminate the profitable companies from the non-profitable companies (following the Basel II
rules of Bank for International Settlements and the most known validation techniques).
In the following section is presented an example regarding the validation of the ratings evaluated
for French companies.


ROC

The MORE ratings have been tested by using ROC (relative or receiver operating characteristic)
method and computing the AUC (area under the curve). ROC curves generalize contingency table
analysis by providing information on the performance of a model at any cut-off that might be
chosen.
ROCs are constructed by scoring all credits and ordering the non-defaulters from worst to best on
the x axis and then plotting the percentage of defaults excluded at each level on the y axis. So, the
y axis is formed by associating every score on the x axis with the cumulative percentage of defaults


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                                                                                             Pag | 16
with a score equal to or worse than that score in the test data. In other words, the y axis gives the
percentage of defaults excluded as a function of the number of non-defaults excluded.
A convenient measure for summarizing the graph of the ROC is the area under the ROC (AUC),
which is calculated as the proportion of the area below the ROC relative to the total area of the
unit square. A value of 0.5 indicates a random model, and a value of 1.0 indicates perfect
discrimination.

A rough guide for classifying the accuracy of a diagnostic test is the traditional academic point
system:

•      1,00-0,90: excellent
•      0,90-0,80: good
•      0,80-0,70: adequate
•      0,70-0,60: poor
•      0,60-0,50: fail



                                                     Perfect model
                                     1
                                                    A
                         % Defaulted excluded




                                                        Real model

                                                                  B




                                                                        Sorted no default
                                                  Fig 18 Example of ROC analysis




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                                                                                                             Pag | 17

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modeFinance MORE Rating Validation Worldwide

  • 1. HOW SUCCESFUL WERE the “MORE” RATINGS in PREDICTING the IMPACTS of THE GLOBAL CRISIS in 2008-2009? Summary Introduction ......................................................................................................................................... 2 Validation of the MORE ratings on the ENTIRE bankruptcy database (Between the years: 2000- 2009) .................................................................................................................................................... 3 Validation of the MORE ratings on the ENTIRE bankruptcy database; only during the 2008&2009 crisis...................................................................................................................................................... 5 Validation of the MORE rating in Continental Macro Areas ................................................................ 8 Validation of the MORE rating in West Europe ............................................................................... 9 Validation of the MORE rating in East Europe ............................................................................... 10 Validation of the MORE rating in North America .......................................................................... 11 Validation of the MORE rating in Far East ..................................................................................... 12 Comments on Continental Macro Areas Rating Evaluation .......................................................... 13 Conclusions ........................................................................................................................................ 13 Appendix ............................................................................................................................................ 14 modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 1
  • 2. Introduction To validate a rating model, we have to demonstrate that: 1. For bankrupt companies, the assigned rating deteriorates, approaching the default date (Bankruptcy dynamics). 2. The model discriminates between profitable companies and bankrupt companies (Discriminating power of the model). For the above mentioned two steps, we need to have the information on bankrupt companies. Using the companies labeled as “bankrupt” in ORBIS (a global database which has information on 60 million companies, provided by Bureau van Dijk Electronic Publishing) we have compiled the following distribution (years: 2000-2009): Country Number of bankrupt companies FR 9110 BE 8172 NL 5232 IT 4529 UA 1991 RO 1207 PL 1100 FI 1098 CZ 780 LT 655 LV 598 EE 525 RU 320 SK 158 Others 318 Table 1 Number of defaulted companies in ORBIS Number of bankroupt companies 10000 9000 8000 7000 6000 5000 4000 3000 2000 1000 0 Fig. 1 Distribution of defaulted companies in ORBIS modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 2
  • 3. We proposed that the following methodology will be applied: 1. Validation of the MORE ratings on the ENTIRE bankruptcy database (years 2000-2009); 2. Validation of the MORE ratings on the ENTIRE bankruptcy database but only in 2008- 2009 to enhance the knowledge of MORE ratings in the financial crisis. 3. Validation of the MORE rating in Continental Macro Areas. In each validation, we followed two steps to demonstrate the following features of the model: Bankruptcy Dynamics & Discriminating power of the model. Validation of the MORE ratings on the ENTIRE bankruptcy database (Between the years: 2000-2009) To validate MORE ratings, first we studied the evaluation of the bankrupt companies’ ratings checking their evolution over the years. In this case, all bankrupt companies in ORBIS were used (around 40,000 companies). We observed the ratings one, two, three and four years before the FINAL available annual report. Fig. 2 Distribution of the ratings of defaulted companies (entire ORBIS database) modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 3
  • 4. BB B CCC CC C Fig. 3 Dynamic of defaulted companies: rating distribution and mean rating (entire ORBIS database) In order to demonstrate the first feature, it is important to see ratings’ evolution for the bankrupt companies. From Fig.3, it is possible to observe that the MORE ratings catch the performance degradation of the companies with a high accuracy, approaching the default date. It was observed that one year before the last available annual report, 48% of the companies were classified as risky and 27% as vulnerable, so that 75% of companies had bad economic and financial ratings. It is very interesting to note that four years before the last accounting year, MORE ratings classified 64% of the defaulted companies as risky and vulnerable (or worse); and so MORE has a great ability to predict the default. As a second step, we had to demonstrate if the model discriminates between the non-defaulted companies and defaulted companies. To execute this, we used one of the well-known statistical methods: ROC (Relative or receiver operating characteristic, please see Appendix for details). It is possible to observe within the following graphs that the model achieved very accurate results in distinguishing defaulted companies, reaching a AUC (area under the curve ) value of 86 in the last year, with a very promising AUC value of 73 four years before the final available annual report. This behavior can be seen when the distribution of the world rating, a typical Gaussian distribution, where BB is the most probable rating class is compared to the distribution of the defaulted companies in which the most probable rating classes are the poor ones. (See Fig.4) modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 4
  • 5. Fig. 4 World rating distribution: non-defaulted companies (left), defaulted companies (right). Entire ORBIS database Fig. 5 ROC graphs; one year before: up-left; four year before: down right. Entire ORBIS database. In conclusion, it is possible to assert that the model predicted the world defaulted companies with very good accuracy even four years before bankruptcy occurred. Validation of the MORE ratings on the ENTIRE bankruptcy database; only during the 2008&2009 crisis After evaluating the MORE ratings on the entire database, we wanted to extend the study to investigate if the MORE ratings recognized the financial crisis during the years 2008-2009. This is because understanding MORE ratings’ success in monitoring the crisis was quite important. modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 5
  • 6. To do this, the companies which went bankrupt in 2008-2009 were selected and studied in the same way as before. In this case, the database consisted of around 4,000 companies from all around the world. Fig .6 Distribution of the ratings of defaulted companies (2008-2009 ORBIS database) modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 6
  • 7. BB B CCC CC C Fig 7 Dynamic of defaulted companies: rating distribution and mean rating (2008-2009 ORBIS database) In the first step; the MORE ratings once again recognized the evolution of the bankrupt companies approaching the default date. From Fig 7 it is possible to observe that one year before the final accounting year, the MORE ratings classified 75% of the defaulted companies as vulnerable (or worse). It is interesting to note that the MORE ratings had a stable behavior when companies moved towards bankruptcy, both in 2000-2009 and in the 2008-2009 crisis. This demonstrates that the MORE methodology was successful in predicting the impacts of the financial crisis. Again as the second step, we wanted to demonstrate if the model can discriminate between non defaulted companies and defaulted ones. As we did for the world companies between the years 2000-2009; we also used ROC for the world companies in the 2008- 2009 crisis. According to the AUC values, the model again achieved very accurate results in distinguishing defaulted companies reaching an AUC value of 85 in the last year with an AUC value of 73 four years before the final available annual report. This behavior is seen in the comparison between the distribution of the world rating (the distribution where BB is the most probable rating class) and the distribution of the default companies in which the most probable rating classes are the poor ones. (See Fig .8) Fig .8 World rating distribution: non-defaulted companies (left), defaulted companies (right). 2008-2009 ORBIS database modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 7
  • 8. Fig. 9 ROC graphs; one year before: up-left; four year before: down right. 2008-2009 ORBIS database Validation of the MORE rating in Continental Macro Areas In order to understand better the behavior of MORE rating, we evaluated the rating performances in the different Continental Macro Area (following the definitions of ORBIS), defined in the following tables. Continental Macro Area Number of bankrupt companies West Europe 30'000 East Europe 9'000 North America 120 Far East 50 Rest of the World 10 For statistical reasons to apply the ROC evaluation and the rating evolution, we performed the analysis on: West Europe, East Europe, North America and Far East. In all those cases we don't used the LAST available information of defaulted companies, but one year before the last year (as set by Basel II policy). modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 8
  • 9. Validation of the MORE rating in West Europe 100% 90% One year before the last availble 80% account 70% 30,00% 60% 50% Risky companies (CC-C-D) 25,00% 40% Vulnerable companies (B-CCC) 20,00% 30% Balanced companies (BBB-BB) 15,00% 20% Healthy companies (AAA-AA-A) 10% 10,00% 0% 5,00% One year before Two years before Three years before the last available the last available the last available 0,00% account account account AAA AA A BBB BB B CCC CC C D Two years before the last availble Three years before the last availble account account 30,00% 30,00% 25,00% 25,00% 20,00% 20,00% 15,00% 15,00% 10,00% 10,00% 5,00% 5,00% 0,00% 0,00% AAA AA A BBB BB B CCC CC C D AAA AA A BBB BB B CCC CC C D Fig 10 Dynamic of defaulted companies: rating distribution and mean rating (West Europe ORBIS database) Mean rating evolution BB 6 B 5 CCC 4 CC 3 Three years before the last available Two years before the last available One year before the last available account account account Fig 11 Mean rating evolution and ROC graph: West Europe ORBIS database modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 9
  • 10. Validation of the MORE rating in East Europe 100% 90% One year before the last availble 80% account 70% 25,0% 60% 50% Risky companies (CC-C-D) 20,0% 40% Vulnerable companies (B-CCC) 30% Balanced companies (BBB-BB) 15,0% 20% Healthy companies (AAA-AA-A) 10,0% 10% 0% 5,0% One year before Two years before Three years before the last availble the last availble the last availble 0,0% account account account AAA AA A BBB BB B CCC CC C D Two years before the last availble Three years before the last availble account account 25,0% 25,0% 20,0% 20,0% 15,0% 15,0% 10,0% 10,0% 5,0% 5,0% 0,0% 0,0% AAA AA A BBB BB B CCC CC C D AAA AA A BBB BB B CCC CC C D Fig 12 Dynamic of defaulted companies: rating distribution and mean rating (East Europe ORBIS database) Mean rating evolution 6 BB 5 B CCC 4 CC 3 Three years before the last availble Two years before the last available One year before the last available account account account Fig 13 Mean rating evolution and ROC graph: East Europe ORBIS database modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 10
  • 11. Validation of the MORE rating in North America 100% 90% One year before the last availble 80% account 70% 30,0% 60% 50% Risky companies (CC-C-D) 25,0% 40% Vulnerable companies (B-CCC) 20,0% 30% Balanced companies (BBB-BB) 15,0% 20% Healthy companies (AAA-AA-A) 10% 10,0% 0% 5,0% One year before Two years before Three years before the last availble the last availble the last availble 0,0% account account account AAA AA A BBB BB B CCC CC C D Two years before the last availble Three years before the last availble account account 30,0% 35,0% 25,0% 30,0% 25,0% 20,0% 20,0% 15,0% 15,0% 10,0% 10,0% 5,0% 5,0% 0,0% 0,0% AAA AA A BBB BB B CCC CC C D AAA AA A BBB BB B CCC CC C D Fig 14 Dynamic of defaulted companies: rating distribution and mean rating (North America ORBIS database) Mean rating evolution BB 6 B 5 CCC 4 CC 3 Three years before the last availble Two years before the last available One year before the last available account account account Fig 15 Mean rating evolution and ROC graph: North America ORBIS database modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 11
  • 12. Validation of the MORE rating in Far East 100% 90% One year before the last availble 80% 70% account 60% Risky companies (CC-C-D) 35,0% 50% 40% Vulnerable companies (B-CCC) 30,0% 30% Balanced companies (BBB-BB) 25,0% 20% Healthy companies (AAA-AA-A) 20,0% 10% 0% 15,0% One year before Two years before T ree years before 10,0% the last availble the last availble the last availble account account account 5,0% 0,0% AAA AA A BBB BB B CCC CC C D Two years before the last availble Three years before the last availble account account 45,0% 45,0% 40,0% 40,0% 35,0% 35,0% 30,0% 30,0% 25,0% 25,0% 20,0% 20,0% 15,0% 15,0% 10,0% 10,0% 5,0% 5,0% 0,0% 0,0% AAA AA A BBB BB B CCC CC C D AAA AA A BBB BB B CCC CC C D Fig 16 Dynamic of defaulted companies: rating distribution and mean rating (Far East ORBIS database) Mean rating evolution BB 6 B 5 CCC 4 CC 3 Three years before the last availble Two years before the last available One year before the last available account account account Fig 17 Mean rating evolution and ROC graph: Far East ORBIS database modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 12
  • 13. Comments on Continental Macro Areas Rating Evaluation From the graphs of the MORE rating evaluation in the different Continental Areas (Fig 10, Fig 11, Fig 12, Fig 13, Fig 14, Fig 15, Fig 16, Fig 17) it is possible to observe that the behavior of the MORE rating is quite stable and accurate. In every Continental Areas there is a clear downgrade of the ratings of the defaulted companies approaching to the bankrupt data. As it is possible to observe from the following table, the accuracy of the MORE rating is quite high all around the world. MORE rating obtains one slight difference only for the Far East evaluation where the number of bankrupt companies is very low to have an accurate statistical analysis. Continental Macro Area AUC value one year AUC value two year AUC value three year before bankrupt before bankrupt (Gini before bankrupt (Gini (Gini value) value) value) West Europe 0,83 (0,66) 0,76 (0,52) 0,72 (0,44) East Europe 0,83 (0,66) 0,77 (0,54) 0,74 (0,48) North America 0,9 (0,8) 0,83 (0,66) 0,79 (0,58) Far East 0,77 (0,54) 0,64 (0,28) 0,55 (0,1) Conclusions In order to validate the MORE model, we used the bankruptcy information on companies found in ORBIS. The entire database and data from the 2008-2009 crisis were taken into account. Using two well-known statistical methods, ROC & Bankruptcy Dynamic the MORE ratings achieved very ACCURATE and STABLE results for the entire database as well as data from the crisis period. The results are stable and this is essential for the validation of the rating method. From this analysis we were able to confirm the worth of the “world” (entire database) validation. In order to enhance the quality of the validation, the rating MORE has been evaluated on four different World macro regions. Also in those cases, the results are accurate and stable between different economical regions. modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 13
  • 14. Appendix modeFinance vision The modeFinance vision is to look at the fundamental economic and financial aspects of the company. The main idea is to evaluate the rating by observing each aspect of the economic and financial behavior of the company: the better the equilibrium between the different aspects, the better the final rating. This idea has been implemented into the MORE (Multi Objective Rating Evaluation) rating model; the MORE model permits the user to assess the creditworthiness of a company by aggregating and evaluating the most important sections of the financial and economic behaviors of a company such as profitability, liquidity, solvency, interest coverage and efficiency. Unlike the most used rating models, MORE does not provide an output as a statistical measure like the probability of bankruptcy; but qualitative information about the general creditworthiness of the analyzed company. This information is expressed through a credit rating scale (shown below). modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 14
  • 15. Rating class Rating Macro class Assessment The company's capacity to meet its financial commitments is extremely strong. The company shows an excellent economic and financial flow and AAA fund equilibrium The company has very strong creditworthiness. It also has a good capital Healthy structure and economic and financial equilibrium. Difference from 'AAA' is AA companies slight The company has a high solvency. The company is however more susceptible to the adverse effects of changes in circumstances and A economic conditions than companies in higher rated categories Capital structure and economic equilibrium are considered adequate. The company's capacity to meet its financial commitments could be affected BBB by serious unfavourable events Balanced A company rated 'BB' is more vulnerable than companies rated 'BBB'. companies Furthermore the company faces major ongoing uncertainties or exposure BB to adverse business, financial, or economic conditions The company presents vulnerable signals with regard to its fundamentals. Adverse business, financial, or economic conditions will be likely to impair B the company's capacity or willingness to meet its financial commitments Vulnerable A company rated 'CCC' has a dangerous disequilibrium on the capital companies structure and on its economic and financial fundamentals. Adverse CCC market events and an inadequate management could affect with high probability the company's solvency The company shows signals of high vulnerability. In the event of adverse market and economic conditions, the company's strong disequilibrium CC could increase Risky The company shows considerable pathological situations. The company's C companies capacity to meet its financial commitments is very low The company has not any longer the capacity to meet its financial D commitments modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 15
  • 16. The probability of default The probability of default (PD) provided by modeFinance is coupled with the rating class of each evaluated company; it is a quantitative information that expresses the possibility that a company deteriorates its financial and economical strengths; so the definition of PD is “the probability that a company goes in D class (the worst) within one year.” This means that the PD is the probability that a company will face distress. In order to evaluate the probability of default, modeFinance observes the historical variations of the ratings distribution during the years by using the transition matrix theory (as shown in the figure below). This means computing the frequency of the rating downgrades in D class by observing a long historical series of ratings. This definition of PD comprehends even the probability of bankruptcy; because according to modeFinance definition, a company rated D should be restructured financially for not going bankrupt. In order to validate its rating model and the PD definition, modeFinance tested it on the capability to discriminate the profitable companies from the non-profitable companies (following the Basel II rules of Bank for International Settlements and the most known validation techniques). In the following section is presented an example regarding the validation of the ratings evaluated for French companies. ROC The MORE ratings have been tested by using ROC (relative or receiver operating characteristic) method and computing the AUC (area under the curve). ROC curves generalize contingency table analysis by providing information on the performance of a model at any cut-off that might be chosen. ROCs are constructed by scoring all credits and ordering the non-defaulters from worst to best on the x axis and then plotting the percentage of defaults excluded at each level on the y axis. So, the y axis is formed by associating every score on the x axis with the cumulative percentage of defaults modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 16
  • 17. with a score equal to or worse than that score in the test data. In other words, the y axis gives the percentage of defaults excluded as a function of the number of non-defaults excluded. A convenient measure for summarizing the graph of the ROC is the area under the ROC (AUC), which is calculated as the proportion of the area below the ROC relative to the total area of the unit square. A value of 0.5 indicates a random model, and a value of 1.0 indicates perfect discrimination. A rough guide for classifying the accuracy of a diagnostic test is the traditional academic point system: • 1,00-0,90: excellent • 0,90-0,80: good • 0,80-0,70: adequate • 0,70-0,60: poor • 0,60-0,50: fail Perfect model 1 A % Defaulted excluded Real model B Sorted no default Fig 18 Example of ROC analysis modeFinance For more information visit: AREA Science Park www.modefinance.com or send Padriciano 99 an e-mail to: 34012 Trieste ITALY info@modefinance.com Pag | 17