Models For Predicting Corporate Financial Distress

INTRODUCTION 2 MEASURING FINANCIALone proposed by Edward Altman. Altman's
HEALTH 2 FINANCIAL DISTRESS 2 FACTORSz-score, or zeta model, combined various
AFFECTING FINANCIAL HEALTH 3 Capitalmeasures of profitability or risk. The resulting
Structure and Capital Adequacy 3 Operating Cashmodel was one that demonstrated a company's
Flows and Cost Structure 4 Earnings Capacity 4risk of bankruptcy relative to a standard. Altman's
Liquidity 4 Asset Conversions - "Growing Broke" 5initial study proved his model to be very accurate;
Asset Utilisation Efficiency/Turnover 5 Strategicit correctly predicted bankruptcy in 94% of the
Position 5 PREDICTING FINANCIAL DISTRESS 6initial sample (Altman 1968). Despite the positive
FAILURE PREDICTION MODELS 7 Altman's Zresults of his study, Altman's model had a key
Score 8 Logit Analysis: The Model 9 Otherweakness; it assumed variables in the sample
Statistical Failure Prediction Models 10 Thedata to be normally distributed. If all variables are
Gambler's Ruin Models 10 Alternative Models -not normally distributed, the methods employed
Artificial Neural Networks 12 CONCLUSION 12may result in selection of an inappropriate set of
REFERENCES 13 Introduction A company tryingpredictors (Sheppard 1994). Chistine Zavgren
to achieve its business plan faces problems similardeveloped a model that corrected for this
to those faced by a driver embarking on a longproblem. Her model used logit analysis to predict
trip. The likelihood that car and driver will reachbankruptcy. Due to its use of logit analysis, her
their destination is dependent on: 1) how muchmodel is considered more robust (Lo 1986).
fuel is in the car's tank upon starting out, 2) theFurther, logit analysis actually provides a probability
car's fuel efficiency, 3) how many service stations(in terms of a percentage) of bankruptcy. Also,
will be available to refill the car's fuel tank alongthe probability calculated might be considered a
the way and 4) whether the car's fuel tank ismeasure of the effectiveness of management (ie.
large enough to cover unexpected accidents,effective management will not lead a company to
delays, and detours along the way. Similarly,the verge of bankruptcy). During the 1980s and
whether or not a company survives in a highly1990s, the trend has been to use logit analysis in
competitive business environment is dependentfavour of multiple discriminant analysis (Stickney
upon: 1) how financially healthy the corporation is1996). More recently, logit analysis has been
at its inception, 2) the company's ability (andcompared to a more advanced analytical tool,
relative flexibility and efficiency) in creating cashneural networks. Research has found that the
from its continuing operations, 3) the company'sapproaches perform similarly and should be used
access to capital markets, and 4) the company'sin combination (Altman, Marco, and Varetto 1994).
financial capacity and staying power when facedAltman's Z Score Based on multiple discriminate
with unplanned cash shortfalls. Measuring Financialanalysis (MDA), the model predicts a company's
Health There is no single measure of financialfinancial health based on a discriminant function of
health. Ideally, solvency could be measured along athe form:
continuum in the same way that fuel sufficiencyZ=0.012X1+0.014X2+0.033X3+0.006X4+0.999X5
can be measured using a car's petrol gauge. FullWhere: X1=working capital/total assets
health would equate with having a full tank of fuel.X2=retained earnings/total assets X3=earnings
Poor health would be equivalent to showing anbefore interest and taxes/total assets
empty tank. As healthiness progressivelyX4=market value of equity/book value of total
decreased, the solvency gauge would registerliabilities X5=sales/total assets The Z-Score model
movement in the direction of relative insolvency.(developed in 1968) was based on a sample
Ultimately, as healthiness continues to decline, thecomposed of 66 manufacturing companies with
solvency gauge would hopefully flash a warning33 firms in each of two matched-pair groups. The
light. Since, in the real world, no single measure ofbankruptcy group consisted of companies that
financial health exists, proxies that measurefiled a bankruptcy petition under Chapter 11 of
various aspects of solvency are often combinedthe United States bankruptcy act from 1946
to estimate a company's healthiness at a point inthrough 1965. Based on the sample, all firms
time. Financial Distress As a financially healthyhaving a Z-Score greater than 2.99 clearly fell into
company becomes more and more financiallythe non-bankruptcy sector, while those firms
distressed, it ultimately enters an area of greathaving a Z-Score below 1.81 were bankrupt.
danger. Changes to the company's operations andAltman subsequently developed a revised Z-Score
capital structure (ie. restructuring) must be mademodel (with revised coefficients and Z-Score
to remain healthy. Apple Computers' attempts incut-offs) which dropped variables X4 and X5
recent years to restructure its operations to(above) and replaced them with a new variable
survive in the highly competitive computerX4 = net worth (book value)/total liabilities. The
hardware business is a good example of aX5 variable was dropped to minimise potential
company trying to dramatically restructure itself inindustry effects related to asset turnover. Around
order to maintain solvency. Continued decreases1977, Altman developed jointly with a private
in financial health ultimately lead to insolvency andfinancial firm (ZETA Services, Inc.) a revised
then potentially, bankruptcy. Available evidenceseven-variable ZETA model based on a combined
suggests many companies do not adequatelysample of 113 manufacturers and retailers. The
attempt to resolve their financial health problemsZETA model is allegedly far more accurate in
until it is too late to avoid bankruptcy. Factorsbankruptcy classification in years 2 through 5 with
Affecting Financial Health Capital Structure andthe initial year's accuracy about equal. However,
Capital Adequacy Companies finance theirthe coefficients of the model are not specified
long-term operations primarily through two(without retaining ZETA Services). The ZETA
sources of capital - debt and equity. One of themodel is based on the following variables:
most important financing decisions a company return on assets  stability of
makes is the proportion of debt to owner's equityearnings  debt service 
in the company's capital structure. Summarycumulative profitability  liquidity/current
measures of a company's capital structure includeratio  capitalisation (five year average of
the company's debt to equity ratio (D/E) andtotal market value)  size (total tangible
debt to total capital ratio (D/(D+E)). Interest andassets) Logit Analysis: The Model Application of
principal payments on debt must be paid fromthe logit model requires four steps. 1. a series of
operations before any payments can beseven financial ratios are calculated. 2. each ratio is
distributed to equity holders (in the form ofmultiplied by a coefficient unique to that ratio. This
dividends or share buy-backs). Therefore, thecoefficient can be either positive or negative. 3.
interest and principal, which must be paid on debt,the resulting values are summed together (y). 4.
are considered fixed-costs of operations. From anthe probability of bankruptcy for a firm is
operational point-of-view, the extent of thecalculated as the inverse of (1 + ey). Explanatory
burden of these fixed obligations can bevariables with a negative coefficient increase the
measured relative to the company's continuingprobability of bankruptcy because they reduce ey
ability to pay the fixed obligations. A frequentlytoward zero, with the result that the bankruptcy
used measure of a company's ability to cover itsprobability function approaches 1/1, or 100
interest payments is its earnings before interestpercent. Likewise, independent variables with a
and taxes and before depreciation andpositive coefficient decrease the probability of
amortisation (EBITDA) to its interest expense. Abankruptcy (Stickney 1996). Table 1 shows the
company is financially distressed whenever itsfinancial ratios used in the logit model and their
EBITDA is less than its interest expense.respective coefficients. TABLE 1 - Financial Ratios
 Financial leverage involves theused in Logit Model FINANCIAL RATIO
substitution of fixed-cost debt for owner's equityCOEFFICIENT + 0.23883 Average Inventories
in the hope of increasing equity returns. AsSales - 0.108 Average Receivables/Average
demonstrated by Higgins and others, financialInventories - 1.583 (Cash + Marketable Securities)
leverage improves financial performance whenTotal Assets - 10.78 Quick Assets/Current
things are going well but worsens financialLiabilities + 3.074 Income from Continuing
performance when things are going poorly.Operations/(Total Assets - Current Liabilities) +
Therefore, increasing the ratio of debt to equity in0.486 Long-Term Debt/(Total Assets - Current
a company's capital structure implicitly makes theLiabilities) - 4.35 Sales/(Net Working Capital +
company relatively less solvent (on the downside)Fixed Assets) + 0.11 y = Sum of (Coefficient *
and more financially risky than a company withoutRatio) Probability of Bankruptcy = 1/(1 + ey)
debt.  Capital adequacy relates toOther Statistical Failure Prediction Models Many
whether a company has enough capital to financeadditional bankruptcy prediction models have been
its planned future operations. If the company'sdeveloped since the work of Beaver and Altman.
capital is inadequate, then it must either be ableLev (1974), Deakin (1977), Ohlson (1980), Taffler
to: 1) successfully issue new equity, or 2) arrange(1980), Platt & Platt (1990), Gilbert, Menon, and
new debt. The amount of debt a company canSchwartz (1990), and Koh and Killough (1990)
successfully absorb and repay from its continuingamongst others have continued to refine the
operations is normally referred to as thedevelopment of multivariate statistical models.
company's debt capacity. Capital adequacy isAlmost all of these traditional models have been
normally evaluated by looking at the company'seither matched-pair multi-discriminate models or
operational cash flow projections and itslogit models. A 1997 study by Begley, Ming and
projections of capital needs. When companiesWatts concludes: "Given that Ohlson's original
undertake major new projects or undergo amodel is frequently used in academic research as
significant financial restructuring they oftenan indicator of financial distress, its strong
perform financial feasibility studies to determineperformance in this study supports its use as a
whether the company has the financial capacitypreferred model." The Gambler's Ruin Models
to undertake the project and whether theWilcox (1971 and 1976), Santomero (1977), Vinso
company will be able to repay all future debt(1979) and others have adapted a gambler's ruin
payments once the project is built. Operatingapproach to bankruptcy prediction. Under this
Cash Flows and Cost Structure All other factorsapproach, bankruptcy is probable when a
being equal, companies that can consistentlycompany's net liquidation value (NLV) becomes
generate positive cash flows from operations willnegative. Net liquidation value is defined as total
remain relatively more solvent than those thatasset liquidation value less total liabilities. From one
cannot. This requires that operating cash inflowsperiod to the next, a company's NLV is increased
(collections or sales) consistently exceed operatingby cash inflows and decreased by cash outflows
cash outflows (costs). Companies whichduring the period. Wilcox combined the cash
experience erratic cash outflows and inflows areinflows and outflows and defined them as
relatively more risky because they are less likely,adjusted cash flow. All other things being equal,
in one or more time periods, to be able to coverthe probability of a company's failure increases,
fixed expenses/outflows. Companies which havethe smaller the company's beginning NLV, the
a higher proportion of fixed costs to variablesmaller the company's adjusted (net) cash flow,
costs are also relatively more risky and relativelyand the larger the variation of the company's
less solvent than companies with a relativelyadjusted cash flow over time. Wilcox uses the
lower proportion of fixed costs in their operatinggambler's ruin formula (Feller, 1968) to show that
cost structure. Earnings Capacity All other thingsa company's risk of failure is dependent on; 1) the
being equal, companies with higher relativeabove factors plus, 2) the size of the company's
earnings and higher relative returns on investmentadjusted cash flow at risk each period (ie. the size
will remain more solvent than their less fortunateof the company's bet). Using a more robust
competitors. The most commonly used financialstatistical technique, Vinso (1979) extended
measures of earnings capacity are earningsWilcox's gambler's ruin model to develop a safety
before interest and taxes (EBIT) and net income.index. Based on input concerning the variability of
Liquidity Adequate liquidity is a further necessaryexpected contribution margin amounts, the index
component of solvency. Frequently used liquiditycan be used to predict the point in time when a
measures include: a) working capital (currentcompany's ruin is most likely to occur (called first
assets minus current liabilities), b) current ratiopassage time). The statistics used in gambler's ruin
(current assets divided by current liabilities), and c)approaches are somewhat formidable (especially
quick ratio (cash, marketable securities andto the average reader). However, both Wilcox
accounts receivable divided by current liabilities).and Vinso richly describe some of the factors
To evaluate liquidity, each of the assets andwhich most affect business failure. For example,
liabilities on a company's balance sheet should beWilcox states: "The (cash) inflow rate ... can be
evaluated for liquidity. Current assets are thoseincreased through higher average return on
which will likely be converted to cash within oneinvestment. However, having a major impact here
year or less. Current liabilities are those whichusually requires long-term changes in strategic
must be paid within one year. However, when aposition. This is difficult to control over a short
company becomes financially distressed, eventime period except by divestitures of peripheral
assets which are normally considered currentunprofitable businesses...The average outflow rate
assets (accounts receivable and stock, foris controlled by managing the average growth
example) may become relatively "illiquid".rate of corporate assets. Effective capital
Long-term assets, in general, are far less liquidbudgeting ... requires resource allocation
than current assets. Some longer-term assetsemphasising those business units, which have the
may be very "illiquid". Also, as stated above, oftenhighest future payoff. The size of the bet is the
a company's long-term liabilities can becomeleast understood factor in financial risk. Yet
immediately due and payable if the companymanagement has substantial control over it.
violates contractual debt covenants or otherVariability in liquidity flows governs the size of the
obligations. Wilcox (1976) argues that net liquidationbet. This variability can be managed through
value provides a solid conceptual basis fordividend policy, through limiting earning variability
evaluating a company's liquidity. Net liquidationand investment variability, and through controlling
value is defined as total asset liquidation value lessthe co-variation between profits and
total liabilities. Wilcox (1976) applies what he callsinvestments...True earnings smoothing is attained
typical (not definitive) valuation multipliers toby control of exposure to volatile industries,
balance sheet assets to arrive at representativediversification, and improved strategic position."
asset liquidation values:  Cash EquivalentsVinso supports Wilcox's emphasis on cash flow
100%  Other Current Assets 70%processes and stresses the importance of debt
 Long Term Assets 50% Wilcox (1976)capacity: "Before deriving a mathematical model
shows that a company becomes bankrupt whenfor determining the risk of ruin, it is necessary to
net liquidation value is reduced to zero. Assetdescribe the process. First, a firm has some pool
Conversions - "Growing Broke" Asset and liabilityof resources at time = 0 of some size U0, which
conversions are continuously ongoing in anyare available to prevent ruin (similar to Wilcox's
dynamic business. Operationally, the company isbeginning NAV). Then, earnings come to the firm
selling its products thereby creating cash inflows.from revenue(s)...less the costs incurred in
Alternatively, sales may be made on credit,producing the revenues. There are two types of
increasing the company's accounts receivable.costs to be considered: variable, which change
Concurrently, inventories are produced and soldaccording to the stochastic nature of the revenue
and production and operating expenses aresources, and fixed costs, which do not vary with
incurred to continue operations. If a company'srevenue but are a function of the period. So,
inventories and accounts receivable grow fasterrevenue less variable costs...can be defined as
than the corresponding growth in the company'svariable profit (which is available to pay fixed
sales and accounts payable, liquidity will becosts). If Ut is less than zero, ruin occurs because
negatively affected. Strategic asset conversionsno funds are available to meet unpaid fixed
are also ongoing, but with less regularity. Decisionscosts...These definitions, however, ignore debt
to invest in 'bricks and mortar' and othercapacity, if available, which must be included as
long-term investments are made and debt andthe firm can use this source without being forced
equity are obtained to supply the capital neededto confront shareholders, creditors or
to pay for them. Slowly but surely, companiesbankruptcy,...debt holders or other creditors will
can 'go broke' when assets are converted to lessforce reorganisation if a firm is unable to meet
liquid forms over a sustained time period. This cancontractual obligations because working capital is
happen when the company's assets grow fastertoo low and the firm cannot obtain more debt."
than the company's sales (often the case forAlternative Models - Artificial Neural Networks
many start-up companies). When this happens,Since 1990, another promising approach to
the company becomes more highly leveraged andbankruptcy prediction, based on the use of neural
less solvent. Similarly, a company whose longnetworks, has evolved. Artificial Neural Networks
term investment decisions do not pay off in(ANN) are computers constructed to process
terms of planned operating returns (thusinformation, in parallel, similar to the human brain.
increasing fixed cost structures and decreasingANN's store information in the form of patterns
operating cash flows), will become less solvent.and are able to learn from their processing
Asset Utilisation Efficiency/Turnover Thoseexperience. Unlike MDA and logit analyses, ANN's
companies, which survive, use their human andimpose less restrictive data requirements (the
capital assets relatively efficiently. That is, theyrequirement for linearity, for example) and are
have relatively higher returns on investment (ROI)especially useful in recognising and learning
and higher returns per employee than lesscomplex data relationships. Recent ANN
successful competitors. They achieve relativelybankruptcy prediction studies include those of Bell,
higher returns through superior assetet al. (1990), Hansen & Messier (1991), Chung &
management (capital and human assets) andTam (1992), Liang, et al. (1992), Tam & Kiang
through superior strategic positioning. In the(1992), Salchenberger (1993), Coats & Fant
absence of aggressive asset management,(1993), Fanning & Cogger (1994), Brockett, et al.
companies must usually resort to wholesale asset(1994), Boritz, et al. (1995), and Etheridge &
divestitures and/or are forced to restructure toSiriam (1995 and 1997). Research has shown that
fund their continuing operations. Strategic PositionANN's offer a viable alternative to other more
Schoffler (Buzzell and Gale, 1987) and others havetraditional methods of bankruptcy prediction. The
documented the high correlation between positiveability of the model to learn allows for the
returns on investment and such factors as: 1)constant re-calibration and validation of the model,
higher relative market shares, 2) relative productwhich helps increase classification rates. From a
quality and 3) lower relative capital intensity.theoretical perspective, ANN's are more desirable
Companies that have strong strategic marketbecause they make fewer assumptions about the
positions are more likely to experience higherdata normality and linear separability. One of the
relative returns on investment than theirmain disadvantages of ANN's is the inability to
competitors. These positive returns, in turn,assign intuition the network weights. Another
increase the solvency of the market leaders.disadvantage is that the model might simply
Those competitors that have lower marketmemorise the data as opposed to forming a
shares or lower product quality are less likely togeneral set of classification rules, which can cause
achieve industry average returns and are thusestimates on future samples to be less reliable.
more likely to become less solvent in the future.Conclusion Future research in bankruptcy
Predicting Financial Distress In America, each yearprediction should analyse the economic and
approximately one percent of all firms required toinstitutional factors that can impact the reasons
file with the Securities and Exchange Commissionfor bankruptcy. Jones (1987) indicated that the
file for bankruptcy. The American Bankruptcylack of homogeneity in the motivation for a
Institute reports that around 50,000 businessesbankruptcy filing might complicate the modelling
filed for bankruptcy in 1997. Attempts to developeffort. Although normally motivated by an effort
bankruptcy prediction models began seriouslyto resolve severe financial problems, a firm may
sometime in the late 1960's and continue throughfile for bankruptcy primarily to void a union
today. At least three distinct types of modelscontract or for other legal reasons (Jones 1987).
have been used to predict bankruptcy: a)Another area where models can be improved is in
statistical models (univariate analysis, multiplecatering for predictor variables other than financial
discriminate analyses [MDA]), and conditional logitratios may prove beneficial. For example,
regression analyses, b) gambler'smeasures of management experience,
ruin-mathematical/statistical models, and c) artificialmanagement expertise, or other behavioural
neural network models. Each of these models isaspects that impact the operations of the firm
discussed below. Most of the publicly availablecould be significant in a bankruptcy prediction
information regarding prediction models is basedmodel. Additionally, including variables that control
on research published by academics. Commercialfor a changing economic environment may
banks, public accounting firms and otherprovide valuable insights for predicting bankruptcy.
institutional entities (ratings agencies, for example)Bibliography References Altman, Edward I.
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