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European Journal of Business and Management                                                          www.iiste.org
ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online)
Vol 4, No.10, 2012


           Predicting Corporate Business Failure in the Nigerian
                         Manufacturing Industry
                            Ani Wilson UchennaPh.D1 and Ugwunta David Okelue M.Sc2*
       1. Department of Accountancy, Institute of Management and Technology Enugu, Enugu State, Nigeria.
           2. Department of Banking and Finance, Renaissance University Ugbawka, Enugu State, Nigeria.
                           * E-mail of the corresponding author: davidugwunta@gmail.com


Abstract
This paper employed ratio analysis, and in particular the multi discriminant analysis model in predicting and
detecting failing businesses in the manufacturing and other sectors of the Nigerian economy. Data were gathered
for a five year period for eleven firms sampled from the manufacturing, oil marketing and the conglomerates
sectors of the Nigerian economy. The result revealed that MDA is a veritable tool for assessing the financial
health of firms in Nigeria. Accordingly MDA has high predictive power to deduce from a set of ratios the
likelihood of failure or otherwise. It is remarkable to note that the MDA model not only predicts business failure
but revealed most importantly that the warning signals of impending failure can be revealed one to two years
before the actual failure.
Keywords: Multi discriminant analysis; corporate failure; firm financial health; corporate bankruptcy predictor
model.


1. Introduction
          To guarantee sustainable economic growth it is very important to control the number of firms that fail
(Warner, 1977). The abnormal behaviours of firms should serve as leading indicators of unhealthy performances.
As a consequence, researchers, shareholders, managers, workers, lenders, suppliers, clients, the community and
policymakers have demonstrated a great interest in the detection of corporate distress. This is as to develop early
warning systems and signals so that the concerned firm will be able to take actions to prevent the firm failure.
The possibility of using ratios to detect problematic businesses has been vastly explored by several academics.
Among the three existing approaches to the problem (accounting analytical approach, option theoretical approach
and statistical approach), the statistical approach tries to assess corporate failure risk through four widely known
methods that make use of balance-sheet-based ratios: linear or quadratic discriminant analysis, logistic regression
analysis, probit regression analysis and neural network analysis. The balance-sheet-based ratios involve the use of
certain financial information to assess firm performance. Firm performance could be viewed in terms of
profitability, interest coverage, debt coverage, working capital and liquidity performances.
          The manufacturing sector of the Nigerian economy has really experienced great shocks and distresses in
recent years. Though the distress syndrome appears to be more prominent and far-reaching in the banking sector,
the truth is that more manufacturing companies have failed than banking institutions of late. Besides outright
failure, few manufacturing organisations utilize over fifty per cent of their installed capacities. The reasons for
this ugly development range from exchange rate problems, inflation, government unstable policies and other
disequilibria in the macro economy. The capacity under-utilisation snowballs into very adverse business times for
most manufacturing companies and those who failed to monitor the early warning signals eventually go under.
This study is precipitated by the dire consequences of business failure which colossal cost implication is
evidenced by loss of jobs, decline in the gross domestic product, declining overall standard of living, general
social disequilibrium in the polity and disequilibrium in the macro economy. All these consequences have been
witnessed in Nigeria in the past decades. It therefore becomes imperative to ascertain if ratio analysis are sure
ways to predicting failing businesses so that the above mentioned consequences can be averted if noticed.This
paper seeks to employ ratio analysis in particular as well as the multi discriminant analysis model in predicting
and detecting failing businesses in the manufacturing and other sectors of the Nigerian economy. The rest of the
paper is divided into four sections. Section 2 highlights the empirical review of related literature. Methodological
issues are the concern of section 3. Section 4 is devoted to analysis of results and section 5 concludes the paper.


2. Review of Related Literature.
         Prior studies indicate that researchers generally test and evaluate corporate financial distress models


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European Journal of Business and Management                                                           www.iiste.org
ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online)
Vol 4, No.10, 2012

using two popular standard statistical techniques, logit and discriminant analysis (DA). The volume of literature
in existence in this area suggests that it is a well-beaten part. Two-widely notable published approaches are
associated with Beaver (1966) and Altman (1968, 1977). Gupta (1979) also developed an extensive accounting
ratio model for detecting business downturns. While Beaver (1966) made use of traditional ratio analysis, Altman
(1966) and Gupta (1979) attempted to build a forewarning system of corporate sickness. Gupta’s (1979) study
unlike that of Beaver (1966) was based on broadly matching groups of sick and non-sick companies. Argenti
(1976) places heavy emphasis on management style. Yet another financial expert, Osezuah (1995) provided a
phase by phase analysis of business decline.
         Discriminant analysis characterizes an individual, or a phenomenon, by a vector of variables which
constitute a multivariate density function. The discriminant function maps the multidimensional characteristics of
the density function of the population’s variables into a one-dimensional measure, by forming a linear
combination (Zavgren, 1983). The linear discriminant function as modeled by Chung, Tan and Holdsworth
(2008) is as follows:
Z i =XA = a0 + a1X1 + a2X2 +...........+ anXn
Where; Z = discriminant score for the company i
X = vector of n independent variables or characteristics
A = vector of discriminant coefficients
MDA computes the discriminant coefficients and selects the appropriate weights (cut-off score) which will
separate categories. The average values of each group, while minimizing the statistical distance of each
observation and its own group means (Altman, 1966). By using the Z score and cut-off score, a company is
classified into failed or non-failed. The pioneers of the empirical approach are Beaver (1966), Altman (1968),
and Ohlson (1980). Beaver (1966) was one of the first researchers to study the prediction of bankruptcy using
financial statement data. However, his analysis is very simple in that it is based on studying one financial ratio at
a time and on developing a cutoff threshold for each ratio. The approaches by Altman (1968) and Ohlson (1980)
are essentially linear models that classify between healthy/bankrupt firms using financial ratios as inputs. Altman
uses the classical multivariate discriminant analysis technique (MDA). It is based on applying the Bayes
classification procedure, under the assumption that the two classes have Gaussian distributions with equal
covariance matrices. The covariance matrix and the class means are estimated from the training set. Altman
(1968) used the following financial ratios as inputs:
1) working capital/total assets;
2) retained earnings/total assets;
3) earnings before interest and taxes/total assets;
4) market capitalization/total debt;
5) sales/total assets.
REVIEW OF EMPIRICAL LITERAURE.
          Country wise, there are few studies in Australia that investigated the power of statistical models for
predicting firm failures. Castagna and Matolcsy (1981) applied linear and quadratic discriminant models to a
sample that consisted of 21 failed firms matched to 21 non-failed firms over the period 1963-1977. The results
one year before failure from Discriminant Analysis show that the model correctly classified 81% of the failed
firms and that of non-failed was 95%. Lincoln (1984) was the first study to use Discriminant Analysis to analyze
Australian property-finance failures from 1969-1978. The author also considered a more general model with
firms from property, retailing and manufacturing. These sectors were combined into two groups: manufacturing
retailing firms and property-finance firms. The predictive accuracy for the manufacturing-retailing model was
high, but very low for the property-finance model. Izan (1984) applied Discriminant Analysis to a larger sample
composed of 53 failed and 50 non-failed firms over the period 1963-1979. These firms were selected from
several industrial sectors. The results one year before failure from Discriminant Analysis show that the model
correctly classified 94% of the failed firms and that of non-failed was 89%. However, logit, probit and DA
models require assumptions such as normality of the data and independence of the predictors. In particular DA
assumes the covariance matrix for the failed and non-failed groups are the same. When the data do not satisfy
these assumptions, both logit and DA provide non-optimal solutions (Altman et al. 1977; Ohlson, 1980).
         Yim and Mitchel (2005) noted that a number of studies using discriminant analysis have been carried
out in Brazil. Yim and Mitchel (2005)reviewed empirically those notable studies thus: Elizabetsky (1976) used



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European Journal of Business and Management                                                          www.iiste.org
ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online)
Vol 4, No.10, 2012

DA on a sample of 99 Brazilian firms that failed and 274 non-failed firms. The best model correctly classified
63% of the failed firms and 74% of the non-failed firms. Matias (1978) applied DA to a sample of 100 Brazilian
firms of which 50 were failed. The best model correctly classified 77% of the failed firms and 70% of the non-
failed firms one year prior to the event. Altman et al. (1979) used DA on a sample of 23 Brazilian firms that
failed during 1975-1977 and 35 non-failed firms. The best model correctly classified 83% of the failed firms and
77% of the non-failed firms. Siqueira and Matias (1996) applied the logit model to a sample of 16 Brazilian
banks that failed during 1994-1995 and 20 non-failed banks. The best model correctly classified 87% of the
failed banks and 95% of the non-failed banks. Minardi and Sanvicent (1998) applied DA to a sample of 81
Brazilian firms of which 37 failed during 1986-1998. The best model correctly classified 81% of the failed firms
and 80% of the non-failed firms one year prior to the event.
          Chung, Tan and Holdsworth (2008) in this study pointed out that model of insolvency are important for
managers who may not appreciate how serious the financial health of their company is becoming until it is too
late to take effective action. In this study, they utilized multivariate discriminant analysis and artificial neural
network to create an insolvency predictive model that could effectively predict any future failure of a finance
company and validated in New Zealand. Financial ratios obtained from corporate balance sheets were used as
independent variables while failed/ non-failed companies’were the dependent variable. The results indicate the
financial ratios of failed companies differ significantly from non-failed companies. Failed companies were also
less profitable and less liquid and had higher leverage ratios and lower quality assets.
         Wang and Campbell (2010) studied data from Chinese publicly listed companies for the period of
September 2000-September 2008 to test the accuracy of Altman’s Z-score model in predicting failure of Chinese
companies. Prediction accuracy was tested for three Z-score variations: Altman’s original model, a re-estimated
model for which the coefficients in Altman’s model were recalculated, and a revised model which used different
variables. All three models were found to have significant predictive ability. The re-estimated model has higher
prediction accuracy for predicting non-failed firms, but Altman’s model has higher prediction accuracy for
predicting failed firms. The revised Z-score model has a higher prediction accuracy compared with both the re-
estimated model and Altman’s original model. This study indicates that the Z-score model is a helpful tool in
predicting failure of a publicly listed firm in China.
         Through an extensive literature review, (Aziz and Dar, 2006) provided a comprehensive analysis of the
methodologies and empirical findings from these models in their applications across ten different countries. The
predictive accuracies of different models seem to be generally comparable, although artificially intelligent expert
system models perform marginally better than statistical and theoretical models. Individually, the use of multiple
discriminant analysis (MDA) and logit models dominates the research. Given that financial ratios have been
dominant in most research to date, it may be worthwhile increasing the variety of explanatory variables to include
corporate governance structures and management practices while developing the research model. Similarly,
evidence from past research suggests that small sample size, in such studies, should not impede future research
but it may lead researchers away from methodologies where large samples are critically necessary.
          A variety of models have been developed in the academic literature using techniques such as Multiple
Discriminant Analysis (MDA), logit, probit, recursive partitioning, hazard models, and neural networks. Despite
the variety of models available, both the business community and researchers often rely on the models developed
by Altman (1968) and Ohlson (1980) (Boritz et al., 2007). A survey of the literature shows that the majority of
international failure prediction studies employ MDA (Altman, 1984; Charitou, Neophytou & Charalambous,
2004).


3. Methodology.
         This study is geared towards proving the validity or otherwise of ratios and Multi Discriminant Analysis
(MDA) model in the manufacturing, oil marketing and conglomerate industries of the Nigerian economy. The
information vital for this kind of analysis were obtained from the financial statements of companies belonging to
the above industries but quoted on the Nigerian Stock Exchange. These exist in the form of Annual reports and
accounts of quoted companies on the Stock Exchange. The sample size derived via a non-probabilistic sampling
technique was influenced majorly by the availability of data for the sampled companies belonging to the various
industries. The sample consists of eleven Nigerian firms in the following categories:
CATEGORY A: CONGLOMERATES
    1.   Cadbury Nigeria PLC
    2.   A.G. Leventis (Nigeria) PLC


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European Journal of Business and Management                                                           www.iiste.org
ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online)
Vol 4, No.10, 2012

      3.   Unilever Nigeria PLC
CATEGORY B: OIL MARKETING
      4.   Texaco PLC
      5.   Oando plc
      6.   Mobil PLC
      7.   African Petroleum PLC
CATEGORY C: OTHERS
      8.   Premier Breweries PLC
      9.   Thomas Wyatt PLC
      10. Nigerian Cement Company PLC
      11. Guinness Nigeria PLC.
     In line with Altman (1968) this study computed univariate ratios based on the information available in the
financial statements for a five year period (2000-2004). The critical variables/ratios computed for the sampled
firms include the liquidity, activity, leverage and profitability ratios. Statistical weights were then given to the
various ratios in the order of importance as follows: 1.2, 1.4, 3.3, 0.6, and 1.0 for numbers 1,2,3,4 and 5 above
respectively in consonance with Altman (1968). The study then computed an average Zeta (Z) score for each
company using the annual reports and accounts of the various firms to represent the composite MDA value for
each firm concerned. Expected Z scores were assigned to each company being investigated using a ranking
approach (Gupta, 1979). Then the computed values were ranked and discriminated as to likelihood of failure/
bankruptcy using the MDA model as postulated by Altman in 1968.
      The parametric test (t test) was used to test the hypothesis and stated thus:
t =        D - O
      SE
Where t = t test
  D = Mean of difference in scores
  SE = Standard Error
Decision Rule: Accept Ho if computed value of tc < tt otherwise reject Ho.


4. Findings
         The financial ratios were used and employed to evaluate the sampled firms financial performance and
condition. Accordingly, the liquidity, activity, leverage and profitability ratios have been used in interpreting the
empirical results obtained.


Table 1. Current Ratio of Sampled Manufacturing Firms in Nigeria.
Year                      CardBury                    Unilever                   Guiness
2004                      1.86                        1.05                       1.28
2003                      1.76                        1.26                       1.53
2002                      ---                         0.40
2001                      ---                         0.34
2000                      ---                         0.26
Source; Author’s Computation.



         In the liquidity ratio, three factors were examined and they include short term liquidity, current assets
intensiveness and cash position. The above indices are very vital for most firms because the early symptoms of an



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European Journal of Business and Management                                                         www.iiste.org
ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online)
Vol 4, No.10, 2012

unhealthy concern are its increasing inability to meet its commitments as they fall due. The short-term liquidity
ratio (current ratio) of Cadbury Nigeria Plc stood at 1.86:1 in 2004 and 1.76:1 in 2003 did not suggest any
problem, although the results were not up to the benchmark of 2:1. Non-the-less, the short-term liquidity position
of Cadbury Nigeria Plc during the period was better than that of the other three companies viz: A. G Leventis
1.5:1 and 1.0:1, Unilever Nigeria Plc 1.05:1 and 1.26:1, Guinness Nigeria Plc 1.28:1 and 1.53:1. The quick asset
ratio is used here as a good approximation of a measure of current asset intensiveness. The results for the four
companies followed the trend for the current ratio earlier examined. For Cadbury Nigeria Plc, 1.31:1 and 1.25:1
for 2003 and 2002 look good. The result was very poor for A.G Leventis in 2003 0.06:1, but there was a radical
improvement in 2004 to 0.94:1. Unilever Nigeria Plc and Guinness Nigeria Plc had 0.72:1 in 2005, 0.72:1 in
2004 and 0.77:1 in 2003, 1.81:1in 2002. This shows that the current liabilities are more than the current assets of
the firm. These positions were not good enough, especially for Guinness Nigerian Plc’s, which declined by 57%
from 2002 to 2003. This suggest, among other things that semi-liquid current assets like stock and raw materials
piled up and that such firms may be unable to settle their short-term obligations as they fall due.


Table 2. Net Profit Margin of Sample Firms.

Year                   CardBury                     A.G. Leventis             Guiness

2004                 13                             6.7                       25.1
2003                 14                             4.8                       19.8
2002                 12.4                           2.0                       24.0
2001                 10.5                           1.6                       25.1
2000                 8.4                            -0.11                     25.6
Source; Author’s Computation.


          The Net Profit Margin for the firms recorded varying degrees of increases and decreases during the
period under review. A.G. Leventis though recording the a single digit ratios and the least ratios among its peer
but has recorded a steady increase throughout the period under review. Cardbury Plc recorded the highest NPM
in year 2003 and the least in year 2000. Guiness Nigeria Plc recorded the highest increase of 25.6% in year 200
and 19.8% which is the least in 2003. However, the higher the Net Profit Margin for firms, the more impressive
their profitability performance.
          A business’ life can be adequately captured by measuring its activity levels. The hand and limbs of a
business allegorically can be turned the stock, debtors and credit’s these do not remain same over time; they
move or vary. Accordingly the average collection period of Cadbury Nigeria Plc increased from 63 days to 89
days between 2002 and 2003. As usual with all ratios, all these statistics mean little when observed individually,
but when looked at between years comparisons between firms could be made. For A.G. Leventis Nigeria Plc,
Average collection period increased from 68 days to 82 days between 2003 and 2004. The stock turnover
improved from 2.8 times in 2005 to 3.2 times in 2004 Unilever Nigeria PLC posted a bad result in 2005 as
concerns Average collection period, which increased from 33 days in 2004 to 102 days in 2005. These increases
recorded in the average collection period shows that the firms studied did not ab-initio establish an average
collection period for trade credits granted to customers. The implication of increase in the number of average
collection days for firms is that firms becomes illiquid as a of funds are tied in the form of credit granted to
customers. Its stocks turnover did not show any remarkable movement between 2004 and 2005. The results were
4.4 times and 4.6 times respectively. This is not bad for the company. During 2002 and 2003, Guinness Nigeria
PLC had a good result, activity wise. The Average collection period improved from 15.7 days in 2002 to 11.6
days in 2003, its stock turnover was 2 times in 2002 and 1.9 times in 2003. This is somewhere impressive. In
summary, on the average, all the companies examined did not make remarkable positive movement in their
activity ratios.
         Test of hypothesis.
Ho: There is no significant difference between the failure/success factor (Z) of Nigerian manufacturing firms
and the multi discriminant analysis model outcome.
H1: There is significant difference the failure/success factor (Z) of Nigerian Manufacturing firms and the multi
discriminant analysis model outcome.



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European Journal of Business and Management                                                        www.iiste.org
ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online)
Vol 4, No.10, 2012

                                     Table 3: Differences between the Z scores.


  Firm                        Computed z                     Expected Z               Difference
  African Petroleum           1.98                           2.7                      -0.72
  Unilever                    2.245                          2.7                      -0.455
  Mobil                       24.623                         2.7                      21.923
  Nigercem                    -0.40                          1.8                      -2.2
  Oando                       4.498                          2.70                     1.798
  Premier Breweries           0.58                           1.80                     -1.22
  Texaco                      54.345                         2.70                     51.645
  Thomas Wyatt                1.5                            1.80                     -0.3
  Cadbury                     2.555                          2.70                     -0.145
  AG Leventis                 .835                           1.80                     -0.965
  Guinness                    2.01                           2.70                     -0.69
                                                             D                        68.671
Source: computed from Annual accounts of sampled firms
                                    Table 4: Computing the Standard Deviation.


          Firm                         Computed z     Expected Z     Difference   D – D bar
          African Petroleum            1.98           2.7            -0.72        -67.951      4617.34
          Unilever                     2.245          2.7            -0.455       69.126       4778.40
          Mobil                        24.623         2.7            21.923       46.748       2185.4
          Nigercem                     -0.40          1.8            -2.2         70.871       5022.7
          Oando                        4.498          2.70           1.798        66.873       4472.0
          Premier Breweries            0.58           1.80           -1.22        69.891       4884.75
          Texaco                       54.345         2.70           51.645       17.026       289.9
          Thomas Wyatt                 1.5            1.80           -0.3         68.971       4757
          Cadbury                      2.555          2.70           -0.145       68.816       4735.64
          AG Leventis                  .835           1.80           -0.965       69.636       4849.17
          Guinness                     2.01           2.70           -0.69        69.361       4810.95
                                                                                               45403.25
    Source: computed from Annual accounts of sampled firms.


          Computing for the mean of the difference in results from table 1 in the appendix, we have D = Sum of
                                                      D / N.
Where; D = Mean of difference in scores
  N = Sample size.
Therefore, D = 68.671
     11
      =     6.243.
Computing for the SD (Standard Deviation) from table 2 in the appendix, SD = √ 45403.25/10 = 67.4.
SE (Standard Error) =     SD/ √N



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European Journal of Business and Management                                                            www.iiste.org
ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online)
Vol 4, No.10, 2012

                       = 67.4/√11
                       = 20.30
t Value = tc = D - 0
                  SE
             = 6.243 – 0
                  20.30
           = 0.0151.
         These results when compared with the critical value of t at the degree of freedom of 10 at 5% level of
significance reveals that tt = 2.228.
         Hence, since tc < tt. Since 0.0151 < 2.228, we accept Ho, which implies that the multi discriminant
analysis model is a corporate bankruptcy predictor model. In other words, the model can be applied to predict
corporate bankruptcy in the Petroleum marketing sector as well as in the manufacturing sector of the Nigerian
economy.


5. Conclusion
           The summary of findings revealed that: Financial ratios are veritable tools for assessing the financial
health of manufacturing companies in Nigeria; categorisation of financial ratios into univariate and multivariate
ratios makes the use of financial ratios more helpful in analyzing and comparing performance among companies;
that it is possible to deduce from a set of financial ratios the likelihood of failure or otherwise of a business; the
multivariate ratio model as proposed by Altman in 1968 is relevant in Nigeria given the analysis carried out by
this study; using the “z” score, failing companies could be detected between two and three years before their
eventual failure; and that “Z” score is an all-round working model effective for manufacturing as well as the
petroleum marketing sectors of the Nigerian economy.
         Having particularly x-rayed the use of ratio analysis and Multi-Discriminant Analysis (MDA) in
particular as a tool for predicting business failure in Nigeria, this paper safely concludes that it is not only
possible to predict business failure using ratio analysis but most importantly it serves as a warning signal of
impending business failure. Ratio analysis can predict business failure two or more years before the actual failure.
To this extent, ratios are veritable tools for measuring business performance in all sectors of the economy.
          Given the above, the following recommendations become imperative: Financial ratios should be
regularly computed and made use of by Nigerian companies in assessing their financial performance. This is
because effective use of such ratios provides timely information on the financial health or otherwise of
companies; in particular, in computing financial ratios, use should be made of current developments in ratio
analysis viz: the multivariate and univariate models of ratios analysis; it is appropriate for companies to set up
financial analysis units, which will act as remote sensing units to sensitize developments in their company,
industry and the macro economy; the corporate report should be expanded to include a section on detailed
financial analyses; since ratio analysis is not an end in itself, the financial analysis unit should be allowed and
challenged to come up with appropriate strategies to keep improving business fortunes; that once the “Z” factor
of a company becomes uncomfortable, i.e. z < 2.675, the company should explore veritable means of revitalizing
its business; financial analyst report should be included in the annual report and accounts of companies either as a
separate item or as an important addendum to the Chairman and Managing Director ‘s report where applicable;
the above report should not only contain the financial state of the company but most importantly set out strategies
and plans to keep the company moving forward strategies if they have been in the words.


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Predicting corporate business failure in the nigerian manufacturing industry

  • 1. European Journal of Business and Management www.iiste.org ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online) Vol 4, No.10, 2012 Predicting Corporate Business Failure in the Nigerian Manufacturing Industry Ani Wilson UchennaPh.D1 and Ugwunta David Okelue M.Sc2* 1. Department of Accountancy, Institute of Management and Technology Enugu, Enugu State, Nigeria. 2. Department of Banking and Finance, Renaissance University Ugbawka, Enugu State, Nigeria. * E-mail of the corresponding author: davidugwunta@gmail.com Abstract This paper employed ratio analysis, and in particular the multi discriminant analysis model in predicting and detecting failing businesses in the manufacturing and other sectors of the Nigerian economy. Data were gathered for a five year period for eleven firms sampled from the manufacturing, oil marketing and the conglomerates sectors of the Nigerian economy. The result revealed that MDA is a veritable tool for assessing the financial health of firms in Nigeria. Accordingly MDA has high predictive power to deduce from a set of ratios the likelihood of failure or otherwise. It is remarkable to note that the MDA model not only predicts business failure but revealed most importantly that the warning signals of impending failure can be revealed one to two years before the actual failure. Keywords: Multi discriminant analysis; corporate failure; firm financial health; corporate bankruptcy predictor model. 1. Introduction To guarantee sustainable economic growth it is very important to control the number of firms that fail (Warner, 1977). The abnormal behaviours of firms should serve as leading indicators of unhealthy performances. As a consequence, researchers, shareholders, managers, workers, lenders, suppliers, clients, the community and policymakers have demonstrated a great interest in the detection of corporate distress. This is as to develop early warning systems and signals so that the concerned firm will be able to take actions to prevent the firm failure. The possibility of using ratios to detect problematic businesses has been vastly explored by several academics. Among the three existing approaches to the problem (accounting analytical approach, option theoretical approach and statistical approach), the statistical approach tries to assess corporate failure risk through four widely known methods that make use of balance-sheet-based ratios: linear or quadratic discriminant analysis, logistic regression analysis, probit regression analysis and neural network analysis. The balance-sheet-based ratios involve the use of certain financial information to assess firm performance. Firm performance could be viewed in terms of profitability, interest coverage, debt coverage, working capital and liquidity performances. The manufacturing sector of the Nigerian economy has really experienced great shocks and distresses in recent years. Though the distress syndrome appears to be more prominent and far-reaching in the banking sector, the truth is that more manufacturing companies have failed than banking institutions of late. Besides outright failure, few manufacturing organisations utilize over fifty per cent of their installed capacities. The reasons for this ugly development range from exchange rate problems, inflation, government unstable policies and other disequilibria in the macro economy. The capacity under-utilisation snowballs into very adverse business times for most manufacturing companies and those who failed to monitor the early warning signals eventually go under. This study is precipitated by the dire consequences of business failure which colossal cost implication is evidenced by loss of jobs, decline in the gross domestic product, declining overall standard of living, general social disequilibrium in the polity and disequilibrium in the macro economy. All these consequences have been witnessed in Nigeria in the past decades. It therefore becomes imperative to ascertain if ratio analysis are sure ways to predicting failing businesses so that the above mentioned consequences can be averted if noticed.This paper seeks to employ ratio analysis in particular as well as the multi discriminant analysis model in predicting and detecting failing businesses in the manufacturing and other sectors of the Nigerian economy. The rest of the paper is divided into four sections. Section 2 highlights the empirical review of related literature. Methodological issues are the concern of section 3. Section 4 is devoted to analysis of results and section 5 concludes the paper. 2. Review of Related Literature. Prior studies indicate that researchers generally test and evaluate corporate financial distress models 86
  • 2. European Journal of Business and Management www.iiste.org ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online) Vol 4, No.10, 2012 using two popular standard statistical techniques, logit and discriminant analysis (DA). The volume of literature in existence in this area suggests that it is a well-beaten part. Two-widely notable published approaches are associated with Beaver (1966) and Altman (1968, 1977). Gupta (1979) also developed an extensive accounting ratio model for detecting business downturns. While Beaver (1966) made use of traditional ratio analysis, Altman (1966) and Gupta (1979) attempted to build a forewarning system of corporate sickness. Gupta’s (1979) study unlike that of Beaver (1966) was based on broadly matching groups of sick and non-sick companies. Argenti (1976) places heavy emphasis on management style. Yet another financial expert, Osezuah (1995) provided a phase by phase analysis of business decline. Discriminant analysis characterizes an individual, or a phenomenon, by a vector of variables which constitute a multivariate density function. The discriminant function maps the multidimensional characteristics of the density function of the population’s variables into a one-dimensional measure, by forming a linear combination (Zavgren, 1983). The linear discriminant function as modeled by Chung, Tan and Holdsworth (2008) is as follows: Z i =XA = a0 + a1X1 + a2X2 +...........+ anXn Where; Z = discriminant score for the company i X = vector of n independent variables or characteristics A = vector of discriminant coefficients MDA computes the discriminant coefficients and selects the appropriate weights (cut-off score) which will separate categories. The average values of each group, while minimizing the statistical distance of each observation and its own group means (Altman, 1966). By using the Z score and cut-off score, a company is classified into failed or non-failed. The pioneers of the empirical approach are Beaver (1966), Altman (1968), and Ohlson (1980). Beaver (1966) was one of the first researchers to study the prediction of bankruptcy using financial statement data. However, his analysis is very simple in that it is based on studying one financial ratio at a time and on developing a cutoff threshold for each ratio. The approaches by Altman (1968) and Ohlson (1980) are essentially linear models that classify between healthy/bankrupt firms using financial ratios as inputs. Altman uses the classical multivariate discriminant analysis technique (MDA). It is based on applying the Bayes classification procedure, under the assumption that the two classes have Gaussian distributions with equal covariance matrices. The covariance matrix and the class means are estimated from the training set. Altman (1968) used the following financial ratios as inputs: 1) working capital/total assets; 2) retained earnings/total assets; 3) earnings before interest and taxes/total assets; 4) market capitalization/total debt; 5) sales/total assets. REVIEW OF EMPIRICAL LITERAURE. Country wise, there are few studies in Australia that investigated the power of statistical models for predicting firm failures. Castagna and Matolcsy (1981) applied linear and quadratic discriminant models to a sample that consisted of 21 failed firms matched to 21 non-failed firms over the period 1963-1977. The results one year before failure from Discriminant Analysis show that the model correctly classified 81% of the failed firms and that of non-failed was 95%. Lincoln (1984) was the first study to use Discriminant Analysis to analyze Australian property-finance failures from 1969-1978. The author also considered a more general model with firms from property, retailing and manufacturing. These sectors were combined into two groups: manufacturing retailing firms and property-finance firms. The predictive accuracy for the manufacturing-retailing model was high, but very low for the property-finance model. Izan (1984) applied Discriminant Analysis to a larger sample composed of 53 failed and 50 non-failed firms over the period 1963-1979. These firms were selected from several industrial sectors. The results one year before failure from Discriminant Analysis show that the model correctly classified 94% of the failed firms and that of non-failed was 89%. However, logit, probit and DA models require assumptions such as normality of the data and independence of the predictors. In particular DA assumes the covariance matrix for the failed and non-failed groups are the same. When the data do not satisfy these assumptions, both logit and DA provide non-optimal solutions (Altman et al. 1977; Ohlson, 1980). Yim and Mitchel (2005) noted that a number of studies using discriminant analysis have been carried out in Brazil. Yim and Mitchel (2005)reviewed empirically those notable studies thus: Elizabetsky (1976) used 87
  • 3. European Journal of Business and Management www.iiste.org ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online) Vol 4, No.10, 2012 DA on a sample of 99 Brazilian firms that failed and 274 non-failed firms. The best model correctly classified 63% of the failed firms and 74% of the non-failed firms. Matias (1978) applied DA to a sample of 100 Brazilian firms of which 50 were failed. The best model correctly classified 77% of the failed firms and 70% of the non- failed firms one year prior to the event. Altman et al. (1979) used DA on a sample of 23 Brazilian firms that failed during 1975-1977 and 35 non-failed firms. The best model correctly classified 83% of the failed firms and 77% of the non-failed firms. Siqueira and Matias (1996) applied the logit model to a sample of 16 Brazilian banks that failed during 1994-1995 and 20 non-failed banks. The best model correctly classified 87% of the failed banks and 95% of the non-failed banks. Minardi and Sanvicent (1998) applied DA to a sample of 81 Brazilian firms of which 37 failed during 1986-1998. The best model correctly classified 81% of the failed firms and 80% of the non-failed firms one year prior to the event. Chung, Tan and Holdsworth (2008) in this study pointed out that model of insolvency are important for managers who may not appreciate how serious the financial health of their company is becoming until it is too late to take effective action. In this study, they utilized multivariate discriminant analysis and artificial neural network to create an insolvency predictive model that could effectively predict any future failure of a finance company and validated in New Zealand. Financial ratios obtained from corporate balance sheets were used as independent variables while failed/ non-failed companies’were the dependent variable. The results indicate the financial ratios of failed companies differ significantly from non-failed companies. Failed companies were also less profitable and less liquid and had higher leverage ratios and lower quality assets. Wang and Campbell (2010) studied data from Chinese publicly listed companies for the period of September 2000-September 2008 to test the accuracy of Altman’s Z-score model in predicting failure of Chinese companies. Prediction accuracy was tested for three Z-score variations: Altman’s original model, a re-estimated model for which the coefficients in Altman’s model were recalculated, and a revised model which used different variables. All three models were found to have significant predictive ability. The re-estimated model has higher prediction accuracy for predicting non-failed firms, but Altman’s model has higher prediction accuracy for predicting failed firms. The revised Z-score model has a higher prediction accuracy compared with both the re- estimated model and Altman’s original model. This study indicates that the Z-score model is a helpful tool in predicting failure of a publicly listed firm in China. Through an extensive literature review, (Aziz and Dar, 2006) provided a comprehensive analysis of the methodologies and empirical findings from these models in their applications across ten different countries. The predictive accuracies of different models seem to be generally comparable, although artificially intelligent expert system models perform marginally better than statistical and theoretical models. Individually, the use of multiple discriminant analysis (MDA) and logit models dominates the research. Given that financial ratios have been dominant in most research to date, it may be worthwhile increasing the variety of explanatory variables to include corporate governance structures and management practices while developing the research model. Similarly, evidence from past research suggests that small sample size, in such studies, should not impede future research but it may lead researchers away from methodologies where large samples are critically necessary. A variety of models have been developed in the academic literature using techniques such as Multiple Discriminant Analysis (MDA), logit, probit, recursive partitioning, hazard models, and neural networks. Despite the variety of models available, both the business community and researchers often rely on the models developed by Altman (1968) and Ohlson (1980) (Boritz et al., 2007). A survey of the literature shows that the majority of international failure prediction studies employ MDA (Altman, 1984; Charitou, Neophytou & Charalambous, 2004). 3. Methodology. This study is geared towards proving the validity or otherwise of ratios and Multi Discriminant Analysis (MDA) model in the manufacturing, oil marketing and conglomerate industries of the Nigerian economy. The information vital for this kind of analysis were obtained from the financial statements of companies belonging to the above industries but quoted on the Nigerian Stock Exchange. These exist in the form of Annual reports and accounts of quoted companies on the Stock Exchange. The sample size derived via a non-probabilistic sampling technique was influenced majorly by the availability of data for the sampled companies belonging to the various industries. The sample consists of eleven Nigerian firms in the following categories: CATEGORY A: CONGLOMERATES 1. Cadbury Nigeria PLC 2. A.G. Leventis (Nigeria) PLC 88
  • 4. European Journal of Business and Management www.iiste.org ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online) Vol 4, No.10, 2012 3. Unilever Nigeria PLC CATEGORY B: OIL MARKETING 4. Texaco PLC 5. Oando plc 6. Mobil PLC 7. African Petroleum PLC CATEGORY C: OTHERS 8. Premier Breweries PLC 9. Thomas Wyatt PLC 10. Nigerian Cement Company PLC 11. Guinness Nigeria PLC. In line with Altman (1968) this study computed univariate ratios based on the information available in the financial statements for a five year period (2000-2004). The critical variables/ratios computed for the sampled firms include the liquidity, activity, leverage and profitability ratios. Statistical weights were then given to the various ratios in the order of importance as follows: 1.2, 1.4, 3.3, 0.6, and 1.0 for numbers 1,2,3,4 and 5 above respectively in consonance with Altman (1968). The study then computed an average Zeta (Z) score for each company using the annual reports and accounts of the various firms to represent the composite MDA value for each firm concerned. Expected Z scores were assigned to each company being investigated using a ranking approach (Gupta, 1979). Then the computed values were ranked and discriminated as to likelihood of failure/ bankruptcy using the MDA model as postulated by Altman in 1968. The parametric test (t test) was used to test the hypothesis and stated thus: t = D - O SE Where t = t test D = Mean of difference in scores SE = Standard Error Decision Rule: Accept Ho if computed value of tc < tt otherwise reject Ho. 4. Findings The financial ratios were used and employed to evaluate the sampled firms financial performance and condition. Accordingly, the liquidity, activity, leverage and profitability ratios have been used in interpreting the empirical results obtained. Table 1. Current Ratio of Sampled Manufacturing Firms in Nigeria. Year CardBury Unilever Guiness 2004 1.86 1.05 1.28 2003 1.76 1.26 1.53 2002 --- 0.40 2001 --- 0.34 2000 --- 0.26 Source; Author’s Computation. In the liquidity ratio, three factors were examined and they include short term liquidity, current assets intensiveness and cash position. The above indices are very vital for most firms because the early symptoms of an 89
  • 5. European Journal of Business and Management www.iiste.org ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online) Vol 4, No.10, 2012 unhealthy concern are its increasing inability to meet its commitments as they fall due. The short-term liquidity ratio (current ratio) of Cadbury Nigeria Plc stood at 1.86:1 in 2004 and 1.76:1 in 2003 did not suggest any problem, although the results were not up to the benchmark of 2:1. Non-the-less, the short-term liquidity position of Cadbury Nigeria Plc during the period was better than that of the other three companies viz: A. G Leventis 1.5:1 and 1.0:1, Unilever Nigeria Plc 1.05:1 and 1.26:1, Guinness Nigeria Plc 1.28:1 and 1.53:1. The quick asset ratio is used here as a good approximation of a measure of current asset intensiveness. The results for the four companies followed the trend for the current ratio earlier examined. For Cadbury Nigeria Plc, 1.31:1 and 1.25:1 for 2003 and 2002 look good. The result was very poor for A.G Leventis in 2003 0.06:1, but there was a radical improvement in 2004 to 0.94:1. Unilever Nigeria Plc and Guinness Nigeria Plc had 0.72:1 in 2005, 0.72:1 in 2004 and 0.77:1 in 2003, 1.81:1in 2002. This shows that the current liabilities are more than the current assets of the firm. These positions were not good enough, especially for Guinness Nigerian Plc’s, which declined by 57% from 2002 to 2003. This suggest, among other things that semi-liquid current assets like stock and raw materials piled up and that such firms may be unable to settle their short-term obligations as they fall due. Table 2. Net Profit Margin of Sample Firms. Year CardBury A.G. Leventis Guiness 2004 13 6.7 25.1 2003 14 4.8 19.8 2002 12.4 2.0 24.0 2001 10.5 1.6 25.1 2000 8.4 -0.11 25.6 Source; Author’s Computation. The Net Profit Margin for the firms recorded varying degrees of increases and decreases during the period under review. A.G. Leventis though recording the a single digit ratios and the least ratios among its peer but has recorded a steady increase throughout the period under review. Cardbury Plc recorded the highest NPM in year 2003 and the least in year 2000. Guiness Nigeria Plc recorded the highest increase of 25.6% in year 200 and 19.8% which is the least in 2003. However, the higher the Net Profit Margin for firms, the more impressive their profitability performance. A business’ life can be adequately captured by measuring its activity levels. The hand and limbs of a business allegorically can be turned the stock, debtors and credit’s these do not remain same over time; they move or vary. Accordingly the average collection period of Cadbury Nigeria Plc increased from 63 days to 89 days between 2002 and 2003. As usual with all ratios, all these statistics mean little when observed individually, but when looked at between years comparisons between firms could be made. For A.G. Leventis Nigeria Plc, Average collection period increased from 68 days to 82 days between 2003 and 2004. The stock turnover improved from 2.8 times in 2005 to 3.2 times in 2004 Unilever Nigeria PLC posted a bad result in 2005 as concerns Average collection period, which increased from 33 days in 2004 to 102 days in 2005. These increases recorded in the average collection period shows that the firms studied did not ab-initio establish an average collection period for trade credits granted to customers. The implication of increase in the number of average collection days for firms is that firms becomes illiquid as a of funds are tied in the form of credit granted to customers. Its stocks turnover did not show any remarkable movement between 2004 and 2005. The results were 4.4 times and 4.6 times respectively. This is not bad for the company. During 2002 and 2003, Guinness Nigeria PLC had a good result, activity wise. The Average collection period improved from 15.7 days in 2002 to 11.6 days in 2003, its stock turnover was 2 times in 2002 and 1.9 times in 2003. This is somewhere impressive. In summary, on the average, all the companies examined did not make remarkable positive movement in their activity ratios. Test of hypothesis. Ho: There is no significant difference between the failure/success factor (Z) of Nigerian manufacturing firms and the multi discriminant analysis model outcome. H1: There is significant difference the failure/success factor (Z) of Nigerian Manufacturing firms and the multi discriminant analysis model outcome. 90
  • 6. European Journal of Business and Management www.iiste.org ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online) Vol 4, No.10, 2012 Table 3: Differences between the Z scores. Firm Computed z Expected Z Difference African Petroleum 1.98 2.7 -0.72 Unilever 2.245 2.7 -0.455 Mobil 24.623 2.7 21.923 Nigercem -0.40 1.8 -2.2 Oando 4.498 2.70 1.798 Premier Breweries 0.58 1.80 -1.22 Texaco 54.345 2.70 51.645 Thomas Wyatt 1.5 1.80 -0.3 Cadbury 2.555 2.70 -0.145 AG Leventis .835 1.80 -0.965 Guinness 2.01 2.70 -0.69 D 68.671 Source: computed from Annual accounts of sampled firms Table 4: Computing the Standard Deviation. Firm Computed z Expected Z Difference D – D bar African Petroleum 1.98 2.7 -0.72 -67.951 4617.34 Unilever 2.245 2.7 -0.455 69.126 4778.40 Mobil 24.623 2.7 21.923 46.748 2185.4 Nigercem -0.40 1.8 -2.2 70.871 5022.7 Oando 4.498 2.70 1.798 66.873 4472.0 Premier Breweries 0.58 1.80 -1.22 69.891 4884.75 Texaco 54.345 2.70 51.645 17.026 289.9 Thomas Wyatt 1.5 1.80 -0.3 68.971 4757 Cadbury 2.555 2.70 -0.145 68.816 4735.64 AG Leventis .835 1.80 -0.965 69.636 4849.17 Guinness 2.01 2.70 -0.69 69.361 4810.95 45403.25 Source: computed from Annual accounts of sampled firms. Computing for the mean of the difference in results from table 1 in the appendix, we have D = Sum of D / N. Where; D = Mean of difference in scores N = Sample size. Therefore, D = 68.671 11 = 6.243. Computing for the SD (Standard Deviation) from table 2 in the appendix, SD = √ 45403.25/10 = 67.4. SE (Standard Error) = SD/ √N 91
  • 7. European Journal of Business and Management www.iiste.org ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online) Vol 4, No.10, 2012 = 67.4/√11 = 20.30 t Value = tc = D - 0 SE = 6.243 – 0 20.30 = 0.0151. These results when compared with the critical value of t at the degree of freedom of 10 at 5% level of significance reveals that tt = 2.228. Hence, since tc < tt. Since 0.0151 < 2.228, we accept Ho, which implies that the multi discriminant analysis model is a corporate bankruptcy predictor model. In other words, the model can be applied to predict corporate bankruptcy in the Petroleum marketing sector as well as in the manufacturing sector of the Nigerian economy. 5. Conclusion The summary of findings revealed that: Financial ratios are veritable tools for assessing the financial health of manufacturing companies in Nigeria; categorisation of financial ratios into univariate and multivariate ratios makes the use of financial ratios more helpful in analyzing and comparing performance among companies; that it is possible to deduce from a set of financial ratios the likelihood of failure or otherwise of a business; the multivariate ratio model as proposed by Altman in 1968 is relevant in Nigeria given the analysis carried out by this study; using the “z” score, failing companies could be detected between two and three years before their eventual failure; and that “Z” score is an all-round working model effective for manufacturing as well as the petroleum marketing sectors of the Nigerian economy. Having particularly x-rayed the use of ratio analysis and Multi-Discriminant Analysis (MDA) in particular as a tool for predicting business failure in Nigeria, this paper safely concludes that it is not only possible to predict business failure using ratio analysis but most importantly it serves as a warning signal of impending business failure. Ratio analysis can predict business failure two or more years before the actual failure. To this extent, ratios are veritable tools for measuring business performance in all sectors of the economy. Given the above, the following recommendations become imperative: Financial ratios should be regularly computed and made use of by Nigerian companies in assessing their financial performance. This is because effective use of such ratios provides timely information on the financial health or otherwise of companies; in particular, in computing financial ratios, use should be made of current developments in ratio analysis viz: the multivariate and univariate models of ratios analysis; it is appropriate for companies to set up financial analysis units, which will act as remote sensing units to sensitize developments in their company, industry and the macro economy; the corporate report should be expanded to include a section on detailed financial analyses; since ratio analysis is not an end in itself, the financial analysis unit should be allowed and challenged to come up with appropriate strategies to keep improving business fortunes; that once the “Z” factor of a company becomes uncomfortable, i.e. z < 2.675, the company should explore veritable means of revitalizing its business; financial analyst report should be included in the annual report and accounts of companies either as a separate item or as an important addendum to the Chairman and Managing Director ‘s report where applicable; the above report should not only contain the financial state of the company but most importantly set out strategies and plans to keep the company moving forward strategies if they have been in the words. References Alashi S. O. (2002). Banking Crises: Causes, Early Warning Signals and Resolutions.NDIC Quarterly. No.4. Altman, E. I. (1968). Financial Ratios, Discriminant Analysis and Prediction of Corporate Bankruptcy.Journal of Finance, Vol. XXIII No. 4. Altman, E., Pinches, G.E. and Trieschmann, J.S. (1977). Discriminant Analysis, Classification Results and Financially Distressed Property-liability Insurers’, Journal of Risk and Insurance: 289-298. Argenti J. (1976).Corporate Collapse: The Causes and Symptoms. New York: McGraw Hill Limited. 92
  • 8. European Journal of Business and Management www.iiste.org ISSN 2222-1905 (Paper) ISSN 2222-2839 (Online) Vol 4, No.10, 2012 Aziz, M. A. and Dar, H. A. (2006). Predicting corporate bankruptcy: where we stand? Corporate Governance. Vol. 6. No. 1: 18-33, Baye M.R.& Jansen D. W. (2006). Money, Banking, Financial Markets: An Economics Approach. USA: Houghton Press. Beaver, R.(1966). Financial Ratios as Predictors of Failure, Empirical Research in Accounting: Selected Studies. Journal of Accounting Research. Vol. 4:71–111, 1966. Blum, M. P. (1974). Failing Company Discriminant Analysis. Journal of Accounting Research. Vol. 12, n.1. Boritz, J., Kennedy, B., and Sun, J.Y. (2007). Predicting Business Failure in Canada. Accounting Perspectives, 6(2): 141-65. Castagna, A. D. and Matolcsy, Z. P.(1986). The Prediction of Corporate Failure: Testing the Australian Experience,’ Australian Journal of Management. Charitou, A., Neophytou, E. and Charalambous, C. (2004). Predicting Corporate Failure: Empirical Evidence for the UK. European Accounting Review, 13(3): 465-97. Chung, K, Tan, S. S. and Holdsworth, D. K.. (2008). Insolvency Prediction Model Using MultivariateDiscriminant Analysis and Artificial Neural Network for the Finance Industry in New Zealand. International Journal of Business and Management. Vol. 3, No. 1 Deakin, E.B. (1972). A Discriminant Analysis of Predictors Business Failure. Journal of Accounting Research. Spring:167-179. Gentry, J. A., Newbold P. and Whitford, D. T. (1985). Classifying Bankruptcy Firms with Funds Flow Components. Journal of Accounting Research:146-160. Gupta, L.C. (1979).Financial Ratios as Forewarning Indicators of Corporate Sickness, Bombay: ICIC Henebry, K. L. (1997). A Test of the Temporal Stability of Proportional Hazards Models for Predicting Bank Failure. Journal of Financial And Strategic Decisions. Vol. 10 N0. 3 Izan, H. (1984). Corporate Distress in Australia. Journal of Banking and Finance. Vol. 8: 303. Lincoln, M. (1984). An Empirical Study of the Usefulness of Accounting Ratios to Describe Levels of Insolvency Risk. Journal of Banking and Finance 7: 321. Milde, H. and Riley, J. G.(1988). Signaling in Credit Markets. Quarterly Journal of Economics, 103: 101-29. Ohlson, J. (1980) Financial Ratios and the Probabilistic Prediction of Bankruptcy. Journal of Accounting Research. Vol. 18: 109–131. Osezuah A. (1995). Resuscitating Declining Business. The National Accountant, the Official Journal of the Institute of Chartered Accountants of Nigeria. Vol. 25 No. 2. Pandey, I. M. (2001).Financial Management, 8th Edition. New Delhi: Vikas Publishing House. Unegbu, A. O. and Tasie, G. O. (2011). Identification of False Financial Statements: A Pre-Ante Tool for Investment Decisions, Solvency Analysis and Bankruptcy Predictions. African Journal of Business Management.Vol. 5 (10): 3813-3827. www.academicjournals.org/AJBM. Wang, Y. and Campbell, M. (2010). Business Failure Prediction for Publicly Listed Companies in China. Journal of Business and Management. Vol. 16, No. 1, Warner J. (1977). Bankruptcy Costs: Some Evidence. The Journal of Finance: 337-347. Yim, J. and Mitchel, H. (2005). A comparison of corporate distress prediction models in Brazil: Hybrid Neural Networks, Logit Models and Discriminant Analysis, nova Economia_Belo Horizonte_15 (1)_73-93_janeiro-abril de Zavgren, C. (1983). The prediction of Corporate Failure: The State of the Art. Journal of Accounting Literature. 2 (1),1-37. 93
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