altman z-score not just for bankruptcy

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AMPROS CORPORATION Putting it All Together Altman Z-Score: Not Just for Bankruptcy From Z-Score to “Green Zone” Survivability Dan Hauschild 8/19/2013 Football has its red zone and end zone, now business has the “Green Zone”. Executives, owners, and investors have a multitude of financial ratios at their disposal for measuring and evaluating continuing business success. The Z-Score is a single metric incorporating five critical measures of business performance. Now, from the Altman Z-Score are Green Zone speedometer charts and guidelines to assist in managing for business survivability - not just survival, but for business growth and profitability!

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Altman Z score can be used as a Financial Tool to predict any future problems of defaults in paying back the credits what they take from Banks and / or Credit sales by any other companies.

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AMPROS CORPORATION

Putting it All Together

Altman Z-Score: Not Just for Bankruptcy

From Z-Score to “Green Zone” Survivability

Dan Hauschild 8/19/2013

Football has its red zone and end zone, now business has the “Green Zone”. Executives, owners, and investors have a multitude of financial ratios at their disposal for measuring and evaluating continuing business success. The Z-Score is a single metric incorporating five critical measures of business performance. Now, from the Altman Z-Score are Green Zone speedometer charts and guidelines to assist in managing for business survivability - not just survival, but for business growth and profitability!

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 2

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 3

Table of Contents Acknowledgements ....................................................................................................................................... 4

Summary ....................................................................................................................................................... 5

Introduction .................................................................................................................................................. 5

Background ................................................................................................................................................... 6

Who uses the Altman Z-Scores? ................................................................................................................... 7

Speedometer Charts and Performance Guidelines ...................................................................................... 9

The “Green Zone” ....................................................................................................................................... 10

Testing the Limits ........................................................................................................................................ 14

Conclusion ................................................................................................................................................... 19

About the Author: ....................................................................................................................................... 19

List of Figures and Illustrations Figure 1. Business Bankruptcy Filings by Year .............................................................................................. 5

Figure 2. Contributions to Z-Score ................................................................................................................ 8

Figure 3. Recycling Benchmark Z-Score ........................................................................................................ 9

Figure 4. NAICS 3XX vs. Mfg Companies Z-Score .......................................................................................... 9

Figure 5. Z' Score Computation for NAICS 3XX ............................................................................................. 9

Figure 6. Z" Score Computation for NAICS 3XX ............................................................................................. 9

Figure 7. X1 Working Capital Ratio ............................................................................................................. 11

Figure 8. X2 Total Retained Earnings Ratio ................................................................................................. 12

Figure 9. X3 EBIT Ratio ................................................................................................................................ 12

Figure 10. X4 Total Equity to Debt Contribution ......................................................................................... 13

Figure 11. X5 Sales Contribution to Z-Score ............................................................................................... 14

Figure 12. Intel in the Zone, AMD trying hard ............................................................................................ 16

Figure 13. AMD deep in the red zone ......................................................................................................... 16

Figure 14. AMD a leap and a miss ............................................................................................................... 16

Figure 15. Intel compensates for distressing X5 performance ................................................................... 16

Figure 16. AMD outperforms Intel in X5 but still cautionary ...................................................................... 16

Figure 17. Z-Score, the sum of it all ............................................................................................................ 16

Figure 18. Borders Working Capital in Distress........................................................................................... 18

Figure 19. Border’s X2 Takes a Plunge ........................................................................................................ 18

Figure 20. Borders Negative Earnings Trend .............................................................................................. 18

Figure 21. Increasing Debt Reduces X4 Ratio ............................................................................................. 18

Figure 22. Improved X5 belies Survivability chances .................................................................................. 18

Figure 23. Z-Score Multi-Year Trend before Bankrutcy Filed ..................................................................... 18

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 4

Acknowledgements The author thanks the following for their thoughtful, critical and helpful critique. Many others also

provided positive feedback and their input is greatly appreciated.

Lori Tapani, CPA, Co-Owner, Co-President Wyoming Machine, Inc.

John Drow, Senior Vice President, Dougherty & Company, LLC

Gary Gardner, VP Human Resources (retired) Valspar Corporation, Founder HRIC Inc., Executive

Compensation Specialist

Andrew Thom, CPA, CFE, Business Partner ABDO, EICK & MEYERS, LLP

Special thanks to De Knudson, former City Councilor, City of Sioux Falls, SD, Teacher of the

English language and long time friend for her editorial comments, suggestions and literary

improvements

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 5

Altman Z-Score: Not Just for Bankruptcy

Summary The power and resilience of the Altman Z-Score has been demonstrated for over four decades. A major

reason for the durability and relevance of the Z-Score is that it incorporates within a single measure five

measures representing business Profitability, Liquidity, Efficiency, Productivity and Leverage or

Coverage. The Altman Z-Score remains a robust and relevant tool for predicting bankruptcy one to two

years in advance. Importantly, the trends for the ratios contributing to the calculation of Z-Score

provide a means to evaluate current performance before the Z-Score computation indicates the

business is in trouble.

In the present work, “Green Zone” guidelines are developed and illustrated in speedometer charts for

each ratio. Green Zone trend charts subsequently present multi-year trends for several companies.

Comparison of the Green Zone guidelines to real business experiences and previous work by other

authors including the father of the Z-Score, Dr. Edward Altman, lends credence to the new guidelines.

Management, owners, and investors have a multitude of financial ratios at their disposal for measuring

and evaluating continuing business operations. This author recommends the Z-Score as a periodic first

look tool and prescribes the Green Zone guidelines to assist in managing for business survivability - not

just survival, but for business growth and profitability!

Introduction Bankruptcy, foreclosures, unemployment are all too familiar terms and headline news over the past

several years. The economy is slowly recovering, but the loss of jobs and businesses will be with us for

years to come. In this article, the focus is on survivability - not just to survive but also to thrive and

grow. We look “under the hood” of the Altman Z-Score formulations for insight and survivability

guidance. Speedometer charts display the “Green Zone” and boundaries of financial performance for

the Altman Z-Score contributing ratios. Subsequently, trend charts compare survivability performance

for four publicly traded companies.

From 2008 through 2012, U.S. Bankruptcy Courts

processed 247,597 business bankruptcies, Figure 1.

For each business bankruptcy there were 26.3 non-

business bankruptcy filings or in total 6,522,928.

Over 69% of both business and non-business filings

were for Chapter 7 liquidation of assets. That is,

businesses were dissolved assets were sold and jobs

were lost. Non-business Chapter 7 liquidation of

assets primarily includes individuals and households.

38,651

58,724 58,322

49,895

42,008

2008 2009 2010 2011 2012

Business Bankruptcy Filings

Figure 1. Business Bankruptcy Filings by Year

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 6

People lost their jobs and, in many cases, their houses and means of supporting their families.

The reasons for bankruptcy are varied, but ultimately cash inflow was not sufficient to meet the cash

outflow demands of creditors and lenders.

There are tools available, if not crystal balls, to help provide guidance to businesses. Altman Z-Score is

one such tool that should be in every business management toolbox. We show that Z-Score is not just

for predicting bankruptcy but also for navigating the performance pitfalls for existing businesses. It is a

critical tool for emerging entrepreneurial ventures or those in the early stages of developing business

plans and seeking financial support. It is also useful as a tool for due diligence in merger and acquisition

endeavors.

We critically examine the Altman Z-Score for application to business survivability and growth, but first, a

little background.

Background Actually, the Altman Z-Score exists in three forms. The original version developed by Edward Altman in

1968 was for predicting bankruptcy potential in publicly held manufacturing businesses. The Z-Score

formulation successfully predicted bankruptcy with 90% accuracy within one year of filing and 80%

accuracy two years in advance. While this was an impressive accomplishment, there was criticism that

the original Z-Score did not work very well with privately held companies. Dr. Altman then created two

new forms of the bankruptcy prediction formula. These were identified as Z’ (Z prime) and Z” (Z double

prime) although they are also referred to as Z (A) and Z (B). Z’ was developed for privately-held

industrial companies and Z” developed for non-manufacturing and service companies.

Dr. Altman developed a fourth bankruptcy predictor, ZETA®, in 1977 that modifies and incorporates

additional factors into the formula. ZETA® is said to predict the potential for bankruptcy with a high

degree of accuracy up to five years in advance. However, the formula is proprietary and of limited

availability to business management and owners.

Many have criticized the Z-Scores as being inadequate. Some critics claim different and purportedly

better ways to predict bankruptcy. However, the Altman Z-Score has withstood the test of time and

some 45 years after its first use is still relevant and widely used as a bankruptcy predictor. No one, to

this author’s knowledge, has proposed Z-Score for survivability.

We are concerned with business survivability and growth using tools that anticipate potential problems.

The Altman Z-Score expressions are as follow:

Z-Score = (X1*1.2) + (X2*1.4) + (X3*3.3) + (X4*0.6) + (X5*0.999) for public manufacturing businesses

Z’ Score = (X1*0.717) + (X2*0.847) + (X3*3.107) + (X4*0.42) + (X5*0.998) for private industrial businesses

Z” Score = (X1*6.56) + (X2*3.26) + (X3*6.72) + (X4*1.05) for private non-manufacturing companies

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 7

Where:

X1 = Working Capital / Total Assets

X2 = Total Retained Earnings / Total Assets

X3 = E.B.I.T. / Total Assets

X4 = Market Value Equity / Total Debt for Public Companies or Owners’ Equity / Total Liabilities for Private Businesses

X5 = Net Revenue / Total Assets

Note that the underlying ratios are fundamentally the same for each formula. Income statement and

balance sheet information combine to calculate the ratios but vary as to which information originates

from the balance sheet. Publicly traded businesses incorporate market equity to debt ratio while

privately held enterprises use book value of equity to debt.

Although there are individual formulas for different business types, the original Z-Score expression

receives the most press and common usage. Each score has a unique range of defined values for

bankruptcy likelihood. The following table presents the Altman range of score predictors.

Z-Score Z’ Score Z” Score

< 1.8 Bankruptcy Likely

>=1.8 – 2.99 Zone of Uncertainty

>=3.0 Bankruptcy Unlikely

<1.23 Bankruptcy Likely

>=1.23 – <2.9 Zone of Uncertainty

>=2.9 Bankruptcy Unlikely

<1.1 Bankruptcy Likely

>=1.1 – <2.6 Zone of Uncertainty

>=2.6 Bankruptcy Unlikely

Who uses the Altman Z-Scores? The answer might surprise. Business creditors and lenders are the primary consumers of Z-Score

information. Some business accountants also routinely look at the Z-Score for their business clients.

Well-informed investors frequently use Z-Score to check on the financial strength and health of

businesses considered for potential investments.

One perhaps surprising user of Z-Score is the U.S. Environmental Protection Agency (U.S. EPA). The U.S.

EPA applied financial ratio analysis and Z-Score evaluation to companies and multi-facility firms in

industries such as pharmaceutical, waste treatment, pulp and paper industries, and transportation

equipment cleaning and industrial laundries. The U.S. EPA uses pre- and post- compliance Z-Score

results to estimate financial impact caused by regulatory compliance investments.

The U.S. EPA also funded a “Recycling Industry Benchmarking and Performance Measurement” effort

carried out by AMPros Corporation. Participating recycling businesses provided confidential financial

and operational information. AMPros Corporation subsequently consolidated the business financial

information via AMPros’ ProfitizeIt® software tools, and created numerous financial performance ratio

benchmarks including Z-Score for survivability.

Feedback from several of the participants indicated they used the Benchmarking report to acquire

funding support from the Small Business Administration, alter pricing strategies or to improve their

operations. According to individual Z-Score results, 18% of the benchmark participants were in danger

of bankruptcy while 45% were in an excellent performance category.

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 8

For more information and discussion, the Benchmarking report is available at www.amproscorp.com.

It was evident from the Benchmarking report that Z-Score was a potential tool for business survivability.

AMPros analyzed the Z-Score ratio components and established, through descriptive statistical analysis,

a range of limits for each contributing Z-Score ratios. The business financials used consisted of both

public and private companies with a range of Z-Scores from negative to very large values, Figure 2.

Figure 2 represents the Z-Scores for individual companies. Z-Score is the sum of the extended "X" ratios.

The ratios, stacked one on top of the other, represent individual contributions to the total Z-Score.

Beginning at Z-Score 5.0 and particularly above Z-Score 8.0, market equity value (X4) drives the Z-Score

off the chart. Very large scores are essentially meaningless. Therefore, for purposes of establishing

meaningful guidelines for the Z-Score components, selected businesses had Z-Scores below 8.0.

It was apparent in Figure 2 that X3 (EBIT, Earnings Before Interest & Taxes) and X2 (Retained Earnings)

were solid and consistently growing contributions to higher value Z-Scores.

Of course, without sales, there is no business. X5 is a relatively constant ratio contribution up to Z-

Score = 8.0.

The makeup of Z-Scores can vary considerably. Z-Score values come from an almost unlimited

(1.50)

(1.00)

(0.50)

-

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

5.50

6.00

6.50

7.00

7.50

8.00

8.50

9.00

9.50

10.00

1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 85 89 93 97 101 105

X1 * 1.2

X4 * 0.6

X5 * 0.999

X2 * 1.4

X3 * 3.3

TRANSISTION ZONE FOR LONG-TERM SURVIVABILITY

< 1

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X5 = Net Sales / Total Assets and dominates under Z-Score = 5 but is not sufficient to assure survivability & growth. High X5 values may mean under-capitlization and may not sustain sales for the long term. Must be

supported by retained earnings to meet cash flow needs, reference X3 and asset utilization ratios.

X4 = Market Value Equity / Total Liabilities and tends to dominate for Z-Score over 5. Ultimately, equity is driven by profit retention and business growth using reasonable balance of debt and equity. Z-Score values

over 4 indicate high equity and low debt position, potential exists to use debt to leverage growth.

X3 = EBIT / Total Assets drives contribution to X2 via period retained earnings added to Total Retained Earnings. and therefore to equity which influences X4. Increased profit plus improved asset utilization is best

near term opportunity to improve Z-Score.

X2 = Total Retained Earnings / Total Assets is next most significant factor after X5. Earnings retention is vital for fueling business growth and contributing to improved equity. X2 is dependent on consistent EBIT

contribution to earning and improving cash flow sufficiency.

X1 = Working Capital / Total Assets is the least significant contibutor to Z-Score but closely parallels X3 influence. High or Low X1 values can be equally detrimental to supporing sales. Check for balance in

Working Capital components including relationhip to sales, Cost of Sales, debt, inventory, cash and accounts receivable. Often is a leading factor in cash flow sufficiency problems.

107 Company Fiscal Period Sample Points for Z-Score ComputationZ-Score = 1.2 * X1 + 1.4 * X2 + 3.3 * X3 + 0.6 * X4 + 0.999 * X5

1.8

3.0

4.0

5.0

6.0

X5

X4X1

X3

X2

Figure 2 Contributions to Z-Score

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 9

combination of positive and/or negative contributing ratio values.

Healthy companies can have one or two negative or poor performance ratio contributions, and an

apparently risky company can have some positive components. Ignored, the negative components do

not self-correct. Without all ratios contributing positively, a business can quickly find itself in an

unsustainable situation and fighting for survival.

Speedometer Charts and Performance Guidelines The objective for the current Z-Score critical examination is its potential use in providing management

guidance for business survivability. The data used for this effort included financial information from the

North American Industrial Classification System (NAICS) and specifically from the manufacturing

industrial segments, including classifications 32 – 33. In fact, the data used includes all of the 3xx

industrial segments. Eighty-eight of the companies included in the Recycling Benchmark study with Z-

Scores <=8.0 (Figure 2 above) were used for comparison to the NAICS results.

All data conformed to descriptive statistics analysis at the confidence level (95%). The guideline limits

and results presented below are in the form of “speedometer” charts. Four color zones define each

chart. Red is for values falling into the danger or distressed zone; yellow is the cautionary zone; green

represents a nominal safe zone; finally, blue is the zone of superior performance although some caution

Figure 3 Recycling Benchmark Z-Score

Figure 4 NAICS 3XX vs. Mfg Companies Z-Score

Figure 5 Z' Score Computation for NAICS 3XX

Figure 6 Z" Score Computation for NAICS 3XX

4.005.46

1

2

34

5

6

7

Z-Score Performance

Recycling Companies vs Benchmark Mfg Companies

Benchmark= Dark Blue Arrow

Recycling Companies = Red Arrow

< 1.8 Bankruptcy Likely; Red Zone

>= 1.8 - 2.99 Uncertain; Yellow Zone

>= 3.0 Bankruptcy Unlikely; Green / Blue Zones

3.743.97

1

2

34

5

6

7

Z-Score Performance

NAICS 3XX vs 88 Mfg Companies

NAICS = Dark Blue Arrow: n = 1826

88 Companies = Red Arrow: n = 88

< 1.8 Bankruptcy Likely; Red Zone

>= 1.8 - 2.99 Uncertain; Yellow Zone

>= 3.0 Bankruptcy Unlikely; Green / Blue Zones

3.313.19

1

2

34

5

6

7

Z'-Score Performance

NAICS 3XX vs 88 Mfg Companies

NAICS = Dark Blue Arrow: n = 1826

88 Companies = Red Arrow: n = 88

< 1.23 Bankruptcy Likely; Red Zone

>= 1.23 - < 2.9 Uncertain; Yellow Zone

>= 2.9 Bankruptcy Unlikely; Green / Blue Zones

3.965.24

1

2

34

5

6

7

Z"-Score Performance

NAICS 3XX vs 88 Mfg Companies

NAICS = Dark Blue Arrow: n = 1826

88 Companies = Red Arrow: n = 88

< 1.1 Bankruptcy Likely; Red Zone

<= 1.1 - < 2.6 Uncertain: Yellow Zone

>= 2.6 Bankruptcy Unlikely; Green / Blue Zones

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 10

is warranted.

The speedometer chart limits for the Z-Score red, yellow and green color zones is set by the ranges

defined by Dr. Altman with the exception that there appeared to be a logical break at Z-Score 5.0. The

maximum Z-Score was 8.0 to avoid distortion by very high market equity contributions to scores above

this limit.

Figures 3, 4, 5 & 6 provide a comparative view and link from the Benchmarking report Z-Score results to

the present data set along with illustration of computed results for the Altman Z-Score, Z’ Score and Z”

Score charts.

Figure 3 illustrates that the overall Z-Score for recycling companies was 5.46 (red arrow) while the target

improvement goal for those poorly performing companies was to achieve a nominal 4.00 Z-Score (dark

blue arrow). Note that as part of the Recycling Industry Benchmarking report, each company received

confidential, individualized feedback and recommended actions to improve their business operations.

Figures four through six compare 88 public companies used as part of the Recycling Benchmark study to

the results from the NAICS data. Over 1,800 financial data points contribute to the analysis and the

guidelines presented in subsequent charts.

A red arrow represents the "88 companies" in each chart below and subsequent pages. The value

represented by the red arrow is in the upper left corner of each chart. The blue arrow represents NAICS

results. The corresponding value for the blue arrow is in the upper right corner of each chart.

Within each chart are range limits for the Z-Score results per Dr. Altman or as appropriate the “Green

Zone” limit for the Z-Score contributing ratio.

The financial data used in the Benchmarking report and NAICS are contemporary and, at this writing,

eight to nine years old. One might argue the data is too old and not relevant to today’s businesses.

Before dismissing the suggested guidelines as being irrelevant, consider that Dr Altman developed the Z-

Score originally in 1968 and subsequent versions in the 1970’s. The Z-Score guidelines were accurate in

predicting bankruptcy then and continue to do so now, some 45 years later. If the Z-Score limits and

guidelines continue to be valid, then so must be the underlying ratios that contribute to the Z-Score

result.

The “Green Zone” One can argue the relative importance as to one ratio over another. Valid arguments can be that EBIT is

the most important ratio factor or that Retained Earnings should be first. The argument might further

expand, that without Sales there can be no EBIT, therefore no Retained Earnings, and ultimately no

Equity. We make no assertion on relative importance except for the need and desire to achieve

business financial performance that falls within the Green Zone for each Z-Score contributing ratio.

NOTE: Data for computing the Z-Score ratios come from both the Income Statement and Balance Sheet

and represent a single point in time. To get a proper sense of performance whether historical or for Pro

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 11

Forma projections, one must look at the trend over at least three business cycles or operating periods.

Subsequent sections of this document provide performance trends for several companies.

Interpret performance results by the ratio value and change over time. If performance initially was in

the green zone but progresses into the yellow and nearing the red zone, then there is cause for taking

management action in those operational areas that contribute to the deteriorating ratio value.

If performance ratios are all in the green zone, the company Z-Score will be in the green zone between

3.0 and 5.0. Alternatively, if all ratios are in the yellow zone, the company is in the zone of uncertainty

and perhaps headed toward the red zone indicating business distress and potential bankruptcy.

Management action to improve the red and/or yellow zone Z-Score contributing ratios is required to

achieve a green or blue zone performance ranking.

A “safe” company may have a Z-Score between 3.0 and 5.0, but that does not mean the company is

financially sound. It may have one or two contributing ratios in the yellow or even red zone. The ratios

are indicators as to potential problems within the business that need further management attention. If

all ratios are in the blue zone, the business may be the best in class that all others would like to emulate.

Figure 7 is Working Capital to Total Assets (X1). Note that the 88 public manufacturing companies have

performance at the low end of the green zone but only slightly below the 0.23 value for NAICS 3XX

performance result. The result from the 88 companies is in relatively close agreement and comparison

with the NAICS working capital ratio results.

Figure 7 X1 Working Capital Ratio

Guiding Principles:

X1 = Working Capital / Total Assets is the least significant contributor to Z-Score but closely parallels X3 influence. High or Low X1 values can be equally detrimental to supporting sales. Check for balance in Working Capital components including relationship to sales, Cost of Sales, debt, inventory, cash and accounts receivable. Often is a leading factor in cash flow sufficiency problems. Caution is advised for very high X1 values.

Target Green Zone ratios

Z-Score = 0.181 – 0.314

Z’ Score = 0.176 – 0.355

Z” Score = 0.149 – 0.294

Some guiding principles are included alongside the speedometer chart. For X1, if it is has a negative

value then action must be immediately taken to correct the working capital situation. A negative value

indicates current assets are less than current liabilities. Put another way, there are not enough current

assets available to meet the current obligations of the company and is a sign of financial weakness.

Next up is X2, Figure 8, Total Retained Earnings to Total Assets ratio. It is an indication of how

management supports the business with cumulative earnings over time. Dividend practices and

earnings payout directly affect this ratio. Corporate structure also has an impact as earnings may be

treated differently under subchapter S versus “C” corporation or LLC or other proprietorship

organizations and/or structures.

0.230.19

-0.15

-0.10

0.00

0.100.20 0.30

0.40

0.50

0.60

X1 = Working Capital / Total Assets

Z Green Zone = 0.181 - 0.317

Z' Green Zone = 0.176 - 0.355

Z" Green Zone = 0.149 - 0.294

NAICS 3XX = Dark Blue Arrow

Public Companies = Red Arrow

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 12

Dr. Altman asserts that the most important ratio over time is Total Retained Earnings / Total Assets. He

may be right because it is one driver of business growth potential. However, keep in mind that you

cannot have retained earnings without productive sales results and EBIT contribution from operations.

As with the X1 component, there is good correspondence between the 88 manufacturing company X2

ratio and NAICS results, 0.31 and 0.34 respectively. The interpretation is that the suggested Green Zone

value range is reasonable.

Note that the Green Zone range of values for each form of the Altman Z-Score is also included with each

financial measure guiding principles.

X3, EBIT / Total Assets ratio, Figure 9, is the most important contributing ratio in the opinion of this

author. Negative values indicate profit loss before interest and taxes are considered. This adverse

circumstance must be corrected.

Many companies experience a loss at some time or other so a single period result may not be

detrimental, but a continuing trend of losses directly affects business long-term survivability. Creditors

and lenders lose faith and make borrowing money more difficult. Retained earnings consumption

and/or additional debt are required to sustain the business.

This one ratio (X3) has an immediate impact on all the other Z-Score contributing ratios. For

survivability, the business practitioner must look at pricing strategies, expense and cost reduction

Figure 8 X2 Total Retained Earnings Ratio

Guiding Principles:

X2 = Total Retained Earnings / Total Assets is next most significant factor after X5. Earnings retention is vital for fueling business growth and contributing to improved equity. X2 is dependent on consistent EBIT contribution to earnings and improving cash flow sufficiency. Examine payout and dividend policies if this ratio deteriorates and moves into the yellow zone.

Target Green Zone ratios

Z-Score = 0.275 – 0.454

Z’ Score = 0.269 – 0.513

Z” Score = 0.227 – 0.425

Figure 9 X3 EBIT Ratio

Guiding Principles:

X3 = EBIT / Total Assets drives contribution to X2 via period retained earnings added to Total Retained Earning and therefore to equity which influences X4. Increased profit plus improved asset utilization such as multiple shift operation is best near term opportunity to improve Z-Score. Examination of product pricing strategies and expense reduction may be in order.

Target Green Zone ratios

Z-Score = 0.088 – 0.146

Z’ Score = 0.086 – 0.165 Z” Score = 0.072 – 0.137

0.340.31

0.7

0.8-0.1

0.0

0.1

0.20.3 0.4

0.5

0.6

X2 = Total Ret. Earnings / Total Assets

Z Green Zone = 0.275 - 0.454

Z' Green Zone = 0.269 - 0.513

Z" Green Zone = 0.227 - 0.425

NAICS 3XX = Dark Blue Arrow

Public Companies = Red Arrow

0.10 0.11

0.0

0.05

0.1 0.15

0.2

0.25

X3 = EBIT / Total Assets

Z Green Zone = 0.088 - 0.146

Z' Green Zone = 0.086 - 0.165

Z" Green Zone = 0.072 - 0.137

NAICS 3XX = Dark Blue Arrow

Public Companies = Red Arrow

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 13

opportunities, reduced earnings payout and when possible to use debt leverage to fuel growth and

improved operational performance.

Shoot for the X3 Green Zone, and many of the other Z-Score ratio contributions will follow along with

improved results.

Note once again the good correspondence between the publicly owned manufacturing companies and

the NAICS X3 ratios of 0.10 and 0.11 respectively.

X4, the Equity to Debt ratio, Figure 10, depends on the value used for the equity component. Public

companies use the market equity value as reflected in its stock market trading value. Private companies

tend to have a lower ratio and rely on owners’ equity; defined as Total Assets minus Total Liabilities.

Some experts even suggest modifying the X4 coefficient depending on gross margin trends.

By definition, Total Assets = Total Liabilities + Total Equity. Total Liabilities may be very small resulting in

very large values for X4, Total Equity / Total Debt. Negatives values for X4 indicate Total Liabilities

exceed Total Assets, which is a very serious situation. Debt management and improved operational

performance in the other four Z-Score ratios substantially influence this ratio.

The dichotomy between the public companies is apparent in Figure 10 where the green zone is occupied

by the red arrow with a value of 2.17 versus the NAICS value of 0.58. Private companies typically have a

lower ratio. Manage and improve the other Z-Score component ratios will tend to move this

performance metric toward the green zone.

Figure 10 X4 Total Equity to Debt Contribution

Guiding Principles:

X4 = Market Value Equity / Total Liabilities and tends to dominate for Z-Score over 5. Ultimately, equity is driven by profit retention and business growth using reasonable balance of debt and equity. High X4 values and Z-Score values over 4 indicate high equity and low debt position, potential exists to use debt to leverage growth. View high ratios with some caution especially for public companies as the market may over value and thereby over rate the company.

Target Green Zone ratios

Z-Score = 1.022 – 2.784

Z’ Score = 0.446 – 0.881

Z” Score = 0.377 – 0.730

Businesses with high X4 values may be able to use debt to leverage additional investment in assets and

stimulate future growth and profitability.

Andrew Thom of ABDO, EICK & MEYERS, LLP, comments. “At a certain point a too high X4 value should

begin to reflect negatively on a company because that means the company is either not returning profits

to shareholders for personal reinvestment or the company is not using its retained profits to fuel its own

growth and expansion through R/D and new ventures. While managing an improving Z-Score can be an

excellent indicator of the overall health of a company, a targeted long-term Z-Score by management

0.582.17

-1

0

0.51 1.5 2

2.5

3

3.5

4

X4 = Total Equity / Total Debt

Z Green Zone = 1.022- 2.784

Z' Green Zone = 0.446 - 0.881

Z" Green Zone = 0.377 - 0.730

NAICS 3XX = Dark Blue Arrow

Public Companies = Red Arrow

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 14

could be used as a measuring stick to determine what level of profits to reinvest, what debt level should

be taken on, and how much equity to return to shareholders.”

X5, Net Sales to Total Assets, Figure 11. This ratio is driven by numerous factors including competition

and product pricing strategies as well as market demand for the business products. Commodity type

products with a lot of competing companies tend to drive this ratio value down. Niche or market

leading innovation products tend to demand higher prices that raise this Z-Score ratio.

However, a very large ratio can mean the company is undercapitalized, or it might have highly

productive assets that have also been highly depreciated. Automated versus labor intensive processes

also have a direct impact on this productivity ratio. One is well advised to examine other financial ratios

such as fixed asset utilization and other productivity ratios.

The NAICS X5 ratio values are superior to that of the public companies, 2.28 versus 1.56 respectively.

The higher value NAICS green zone is the recommended target or goal values. High value but non-

productive assets negatively affect this ratio. It may also be artificially high because of very productive

but highly depreciated assets. It is good practice to consider the Depreciated Asset ratio in concert with

the X5 ratio when evaluating ongoing performance as well as for developing Pro Forma financial

statements and forecasts.

Testing the Limits Now that we have Green Zones defined for all the Z-Score component ratios, a question remains. Are

these data relevant to today’s business environment? One can easily test it by going on line and looking

up publicly-owned company financial data at sites such as Morningstar or Market Watch then plug their

data into the Z-Score computation as well as compare the trend for each ratio to the associated Green

Zone guidelines provided above. Of course, data from privately held companies is not generally

available to the public.

If you don’t know which Z-Score formula to use for any given company including your own, calculate all

three Z-Scores and compare the trends over time. But also keep in mind that the Green Zone guideline

values do not depend on which Z-Score formula is used for bankruptcy prediction. We are interested in

Figure 11 X5 Sales Contribution to Z-Score

Guiding Principles:

X5 = Net Sales / Total Assets and dominates under Z-Score = 5 but is not sufficient to assure survivability and growth. High X5 values may mean under-capitalization and may not sustain sales for the long term. Must be supported by retained earnings to meet cash flow needs, reference X3 and asset utilization ratios. Also, be aware that highly depreciated assets can be very productive and can result in misleading, high ratio value. Always check the Depreciated Asset ratio when making comparisons.

Target Green Zone ratios

Z-Score = 1.839 – 3.043

Z’ Score = 1.797 – 3.440

Z” Score = 1.518 – 2.850

2.281.56

0.5

1

1.5

2 2.5

3

3.5

4X5 = Net Sales / Total Assets

Z Green Zone = 1.839 - 3.043

Z' Green Zone = 1.797 - 3.440

Z" Green Zone = 1.518 - 2.850

NAICS 3XX = Dark Blue Arrow

Public Companies = Red Arrow

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 15

survivability and growth, so the recommendation is to focus on managing the “naked” Z-Score

contributing ratios to achieve results that will be positive and sustainable.

Let’s do a quick test on the Green Zone recommendations referencing a recent article in The Motley

Fool by Timothy Green, March 18, 2013. In this article Mr Green posits the question “Are These

Companies On the Path to Bankruptcy?” He uses the original form of the Z-Score computation to

compare three companies, Advance Micro Devices (AMD), Radio Shack and Groupon. His financial data

was sourced from Morningstar.

Two of the companies are examined below, AMD and Radio Shack, since Groupon has only two year’s of

operation. Only the Z-Score contributing ratio portion of Mr Green’s article is reproduced here for the

two companies in question. In addition, a column is added that includes a brief comment on the year to

year trend.

In the first table, and without delving further into AMD operations, it is apparent from the Z-Score

contributing ratios that it is performing predominantly in the yellow to red zones. Both X5, Sales on

Total Assets and X3, EBIT to Total Assets need significant improvement. The Z-Score is indicating that

AMD is performing similar to companies that have gone bankrupt. Survivability is questionable although

it has good products that are in demand by the cost conscious consumer.

AMD Ratio 2008 2009 2010 2011 2012 Comment on Trend and Performance Zone

X1 0.02 0.23 0.39 0.29 0.22 Trending down but okay for now

X2 (0.81) (0.65) (1.10) (1.00) (1.54) Solid Red performance trending lower – not good

X3 (0.25) 0.07 0.17 0.07 (0.26) Yellow trending toward Red performance – not good

X4 0.17 0.60 1.45 1.48 0.56 Trending yellow performance – not good

X5 0.76 0.60 1.31 1.33 1.36 Trending yellow performance – needs improvement

Z-Score (1.09) 0.55 1.66 1.40 (1.08) Solidly in Red Zone – not good

Radio Shack five-year performance data is presented in the next table along with some trend comments.

The basic multi-year performance trend appears to be superior to AMD but is trending lower. The

comparison between AMD and Radio Shack as presented may not be appropriate using the Z-Score.

AMD is a publicly held manufacturing company while Radio Shack is a publicly held non-manufacturing

company. The Z” Score may be more appropriately applied to Radio Shack instead of the original

Altman Z-Score bankruptcy predictor formula.

Intel Corporation, a direct competitor of AMD, was added to The Motley Fool mix of companies to test

the Green Zone guidelines. Financial data for Intel was also obtained from Morningstar online.

Radio Shack Ratio 2008 2009 2010 2011 2012 Comment on Trend and Performance Zone

X1 0.51 0.56 0.40 0.53 0.44 Trending toward Green from solid Blue performance

X2 0.94 0.96 0.69 0.70 0.59 Trending toward Green from solid Blue performance

X3 0.14 0.15 0.17 0.07 (0.03) Trending solid Green into Red Zone – not good

X4 1.01 1.78 1.40 0.52 0.19 Trending solid Green in Yellow Zone – not good

X5 1.85 1.76 2.06 2.01 1.85 Green Zone but low end

Z-Score 4.84 5.34 4.91 4.17 3.23 Trending from high end Green to Low end of Zone

Z” Score 3.87 4.18 4.04 3.41 2.65 Trending from solid Green to Yellow cautionary Zone

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 16

Speedometer charts are not suitable for comparing multiple period trend information; therefore, a

different type of chart is employed that reproduce the speedometer chart colored performance zones.

One notable difference is that the vertical axis, range of performance values, was expanded to

accommodate the range of business performance exhibited by AMD, Radio Shack and Intel. Expanding

the vertical axis compresses the middle zones, but this merely amplifies when a company such as AMD is

really in a distressed situation.

Examining the grouping of performance ratios charts, Figures 12 through 17, conveys the story. All

three companies have been trending down over the past couple years, but Radio Shack and Intel have

Figure 12 Intel in the Zone, AMD trying hard Figure 13 AMD deep in the red zone

Figure 14. AMD a leap and a miss Figure 15. Intel compensates for distressing X5 performance

Figure 16 AMD outperforms Intel in X5 but still cautionary Figure 17 Z-Score, the sum of it all

0.02

0.23

0.29

0.22

0.510.56

0.40 0.530.44

0.24 0.26 0.35

0.20

0.22

-0.05

0.00

0.05

0.10

0.15

0.20

0.25

0.30

0.35

0.40

0.45

0.50

0.55

0.60

2008 2009 2010 2011 2012

X1 Working Capital / Total Assets

AMDRadio ShackIntel

-0.81-0.65

-1.10-1.00 -1.54

0.94 0.960.69 0.7

0.59

0.52 0.50 0.520.42 0.38

-1.65

-1.40

-1.15

-0.90

-0.65

-0.40

-0.15

0.10

0.35

0.60

0.85

1.10

2008 2009 2010 2011 2012

X2 Total Ret. Earnings / Total Assets

AMDRadio ShackIntel

-0.25

0.070.17

0.07

-0.26

0.14

0.15

-0.03

0.180.25

0.250.17

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

0.00

0.05

0.10

0.15

0.20

0.25

0.30

2008 2009 2010 2011 2012

X3 EBIT / Total Assets

AMDRadio ShackIntel

0.17

0.61.45

1.48

0.561.01

1.781.40

0.52

0.19

5.07

7.03

6.22

4.04 2.41

-1.00

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

2008 2009 2010 2011 2012

X4 Market Equity / Total Debt

AMDRadio ShackIntel

0.760.60

1.31 1.331.36

1.85 1.762.06 2.01

1.85

0.74 0.66 0.69 0.76 0.630.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

2008 2009 2010 2011 2012

X5 Net Sales / Total Assets

AMDRadio ShackIntel

-1.07

0.56

1.671.40

-1.06

4.845.34

4.904.17

3.22

5.38

6.23 6.39

4.81

3.44

-2.0

-1.0

0.0

1.0

2.0

3.0

4.0

5.0

6.0

7.0

8.0

2008 2009 2010 2011 2012

Z Score Trend Comparison

AMDRadio ShackIntel

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 17

generally been riding along in the blue and green zones. AMD has been lagging behind though trying

hard, unsuccessfully, to get up into the green zone. The Z-Score indicates that AMD is in a distressed

situation. The zones of performance show that AMD is experiencing red zone performance in two critcal

areas, earnings on assets employed and retained earnings. Sales are in the cautionary performance

zone while working capital seems to be in the green zone, but the trend is negative.

To follow up on The Motley Fool question but focused on survivability rather than bankruptcy, how

would you apply the Green Zone trends and guidelines? If you were AMD’s CEO, where would you focus

your improvement actions? Would you strive for the Green Zone? Could the Green Zone guidelines

have been helpful several years ago?

What opportunity for improvement is indicated for Intel? It is a strong company with desirable market

position and products. However, the sales on assets is in distress and needs improvement to offset the

decline in market equity.

Still not convinced that the Green Zone guidelines presented in the speedometer and trend line charts

could contribute to business survivability? Test the limits with one more group of trend charts and more

real company performance information.

An on-line article written by the CI Staff of Computerized Investing, “The Altman Z-Score”, states “The

biggest calamity that can befall equity investors is corporate bankruptcy, which wipes out the equity of a

firm and knocks the stock’s investment value down to zero.” In this article, the Altman Z-Score is

applied to analyze a company that went bankrupt. Border’s Group, parent to former Border’s Book

Stores and other brand name subsidiaries, filed for bankruptcy in February 2011 and later that year for

liquidation. The prior five-years of financial information is presented by the CI Staff to illustrate Border’s

performance trend prior to filling bankruptcy.

The Z-Score contributing ratios are incorporated into the Green Zone trend charts, Figures 18 through

23, for comparison to the Intel Corporation multi-year performance presented in the previous chart

group.

Z-Score was originally developed to aid in predicting the potential bankruptcy. When the score drops to

1.81 or below, the company is said to be highly stressed and bankruptcy is likely. Figure 23 clearly

shows the Z-Score trend was in the Yellow cautionary zone and bordering on the Red zone for several

years before Border’s Group filed bankruptcy.

Was there any indication that something was wrong before they went off the cliff that might have

helped them survive? The answer is unequivocally YES!

Refer to Figures 18 through 23. Examine the contributing ratios trends for working capital, retained

earnings and EBIT. All ratios were in the red zone and trending downward for five years before

bankruptcy. The low equity to debt ratio indicates the company was increasingly dependent on debt

and/or consuming retained earnings to maintain operations. What if the management team took

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 18

corrective action based on the Z-Score contributing ratio trends? Is it possible the company could have

survived?

One more test of Green Zone guidelines is included by comparison to Dr Altman’s data published in July

2000, “Predicting Financial Distress of Companies: Revisiting the Z-Score and ZETA® Models.” One

stated conclusion was that the Z-Score was still robust despite being developed over 30 years earlier. In

addition, Dr Altman examined 53 bankrupt and 58 nonbankrupt company financials for additional

contributing ratio measures and for applicability to his ZETA® credit risk model.

Figure 18 Border’s Working Capital in Distress Figure 19 Border’s X2 Takes a Plunge

Figure 20 Border’s Negative Earnings Trend Figure 21 Increasing Debt vs. Equity Reduces X4 Ratio

Figure 22 Improved X5 belies Survivability chances Figure 23 Z-Score Multi-Year Trend before Bankrutcy Filed

0.24 0.26

0.35

0.200.22

0.13

0.05

0.020.05 0.04

0.150

0.309

-0.05

0.00

0.05

0.10

0.15

0.20

0.25

0.30

0.35

0.40

0.45

0.50

0.55

0.60

2006 2007 2008 2009 2010 2011 2012

X1 Working Capital / Total Assets

IntelBordersFailed MeanNot Failed

0.52 0.50 0.52

0.420.38

0.240.17

0.110.04

-0.03

-0.001

0.294

-0.25

0.00

0.25

0.50

0.75

2006 2007 2008 2009 2010 2011 2012

X2 Total Ret. Earnings / Total Assets

IntelBordersFailed MeanNot Failed

0.18

0.11

0.25 0.25

0.17

0.07

-0.05

0.00

-0.09-0.07

-0.006

0.112

-0.10

-0.05

0.00

0.05

0.10

0.15

0.20

0.25

0.30

2006 2007 2008 2009 2010 2011 2012

X3 EBIT / Total Assets

IntelBordersFailed MeanNot Failed

5.07

7.03

6.22

4.04

2.41

0.850.51

0.19 0.02 0.06 0.611

1.845

-1.00

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

2006 2007 2008 2009 2010 2011 2012

X4 Market Equity / Total Debt

Intel

Borders

Failed Mean

Not Failed

0.74 0.66 0.69 0.76 0.63

1.59 1.57 1.66

2.04 1.97

1.312

1.620

-0.10

0.40

0.90

1.40

1.90

2.40

2.90

3.40

3.90

2006 2007 2008 2009 2010 2011 2012

X5 Net Sales / Total Assets

IntelBordersFailed MeanNot Failed

5.38

6.23 6.39

4.81

3.44

2.812.00 1.96 1.86 1.79

1.838

3.875

0.0

1.0

2.0

3.0

4.0

5.0

6.0

7.0

8.0

2006 2007 2008 2009 2010 2011 2012

Z Score Trend Comparison

IntelBordersZ Failed MeanZ Not Failed

Borders Group Bankrupt 2011

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 19

Appendix A of the Altman article, presents several measures, along with associated statistics, including

the Z-Score contributing ratio mean value for both failed and non failed companies. These ratio mean

values are plotted on the relevant trend chart, Figures 18 through 23. Compare these published ratios

to the Green Zone guidelines presented in this article.

Overall, the ratio mean values from Dr Altman’s article fall into Green Zone for non-bankrupt companies

and Yellow or Red Zone for the failed and bankrupt businesses. The “failed” mean value for the Z-Score

in the present guideline development was 1.602 versus 1.838 reported in the Dr Altman’s July 2000

article. Similarly, the “non failed” Z-Score mean was 3.881 in the present work versus 3.785 in the July

2000 article.

Conclusion The power and resilience of the Altman Z-Score has been demonstrated for over four decades. A major

reason for the durability and relevance of the Z-Score is that it incorporates within a single measure five

measures representing business Profitability, Liquidity, Efficiency, Productivity and Leverage or

Coverage. Each measure individually and collectively yields insight to business performance and

expectations for sustainable growth and in fact survivability over time. The Altman Z-Score puts

everything under one measure which predicts potential bankruptcy. AMPros Corporation looked under

the hood of the Z-Score and the contributing ratio values. A range of operating values, color coded by

performance zone, was developed for business management and investment guidance.

We conclude that the recommended “Green Zone” performance metric values are relevant and should

be adopted as part of the tool set for evaluating business performance, improvement and survivability.

Lori Tapani, Co-President and Co-Owner, Wyoming Machine states that “monitoring and making

adjustments to business operations based on these Green Zone metrics can help with growth,

profitability and prosperity over the long haul – much more than pure survival.”

Are the Z-Score and contributing ratios the only financial ratios needed? Absolutely not, but utilizing

these results and guidelines is a good place to evaluate business survivability and focus for action. Use

the guidelines for establishing goals in forecasting budgets or developing business plans and proforma

financial statements. The guidelines provide some additional benchmarks for due diligence in business

mergers and acquisitions. In particular, these guidelines are helpful to those striving for financial

investments and funding whether needed for a start up or to expand an existing business.

The Green Zone is business’ End Zone.

Questions and comments may be directed to [email protected] or through LinkedIn®.

About the Author: Dan Hauschild is co-founder of AMPros Corporation, a business consultancy dedicated to assisting

businesses improve operations and financial performance as well as developing business plans and

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 20

strategies for new and emerging businesses. His 40 plus year career is divided almost evenly between

being inside manufacturing operations at a major manufacturing company and outside as a consultant

and entreprenuer. He has turned his training in chemistry, science, business and manufacturing

technology into a disciplined approach to financial analysis and improvement of business operations.

Disclaimer: The advice and guidelines presented are based on business and market information and do

not constitute legal or accounting advice or counsel. AMPros Corporation has no control over the

actions of those applying these guidelines and assume no responsbility for such actions. Other factors

may come into play such as managements misstatement of company financial conditions or fraud which

would distort the results from application of the suggested guidelines. In other words, garbage in;

garbage out. i

ProfitizeIt® is a registered trademark of AMPros Corporation. All other marks and rights, such as ZETA®, are the property of their respective owners. Financial ratio analysis and computation was performed with AMPros Corporation’s ProfitizeIt® financial analysis software tools.

Descriptive Statistics analyses were performed and charts developed using Microsoft® EXCEL®;

References and Sources United States Courts, “Bankruptcy Filings Down in Fiscal Year 2012”, November 07, 2012,

http://news.uscourts.gov

U.S. Environmental Protection Agency, report Section Six “Analysis of Firm-Level Impacts”

Hauschild, Dan, “Final Report Recycling Industry Benchmarking and Performance

Measurement”, January 2005

Green, Timothy, “Are These Companies on The Path to Bankruptcy?”, The Motley Fool, March

18, 2013

Altman, Edward I., “Predicting the Financial Distress of Companies: Revisiting the Z-Score and

ZETA® Models”, July 2000, online Internet search

CI Staff, “The Altman Z-Score”, Computerized Investing;

www.aaii.com/computerizedinvesting/article/the-altman-z-score.

Financial Statements for AMD, Radio Shack and Intel from Morningstar online at

www.morningstar.com

Other Reading:

Kyd, Charley, “Predict Business Bankruptcy Using Z Scores with Excel”, August 2008; www.exceluser.com.

Wisehart, Donald P., “Tools & Databases, The Z-Score ‘Crystal Ball’”, February 2010, NACVA Ambassadors’ QuickRead, www.nacva.com

Wikipedia, “Altman Z-Score”, http://en.wikipedia.org/wiki/Altman_Z-Score

The Accounts Receivable Network, “The Z-Score Family, Now Including an App”, www.thearnetwork.com/accounts_receivable/modules

QFinance, Operations Management Calculations, “Z-Score”, www.qfinance.com

Environmental Opportunities, “Altman Z-Score Described”, from Sourcing Decision Support, Inc.

Altman Z-Score: Not Just for Bankruptcy

Copyright 2013 AMPros Corporation, All Rights Reserved Page 21

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