
The Altman Z-score is a powerful tool for evaluating a company's financial stability. It was developed by Edward Altman in 1968.
The Z-score is calculated using a formula that incorporates five key financial metrics. These metrics are working capital to total assets, retained earnings to total assets, earnings before interest and taxes to total assets, market value of equity to book value of debt, and sales to total assets.
A company with a high Z-score is likely to be financially stable, while a low score may indicate financial distress.
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What is the Altman Z-Score?
The Altman Z-Score is a model used to predict the near-term likelihood of companies falling into bankruptcy or insolvency. It's a variation of the traditional Z-score in statistics.
NYU Stern Finance Professor Edward Altman developed the Altman Z-score formula in 1967, and it was published in 1968. He's been continually reevaluating and updating the Z-score to improve its accuracy.
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The Altman Z-score uses five financial ratios to calculate a score that can predict a company's probability of becoming insolvent. These ratios include profitability, leverage, liquidity, solvency, and activity.
To calculate the Altman Z-score, you need to use the following formula: Altman Z-Score = 1.2A + 1.4B + 3.3C + 0.6D + 1.0E. The variables A, B, C, D, and E represent different financial ratios.
Here's a breakdown of what each variable represents:
- A = working capital / total assets
- B = retained earnings / total assets
- C = earnings before interest and tax / total assets
- D = market value of equity / total liabilities
- E = sales / total assets
A score below 1.8 means it's likely the company is headed for bankruptcy, while companies with scores above 3 are not likely to go bankrupt.
Calculating the Altman Z-Score
Calculating the Altman Z-Score is a straightforward process that involves plugging in five financial ratios into the formula. The formula is: Altman Z-Score = 1.2A + 1.4B + 3.3C + 0.6D + 1.0E.
The five components of the z-score calculation are:
- X1 = Working Capital ÷ Total Assets
- X2 = Retained Earnings ÷ Total Assets
- X3 = EBIT ÷ Total Assets
- X4 = Market Capitalization ÷ Total Liabilities
- X5 = Sales ÷ Total Assets
To calculate the z-score, you'll need to gather the necessary financial data, including the company's income statement and balance sheet. You can find this data in the company's annual 10-K report.
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A score below 1.8 means it's likely the company is headed for bankruptcy, while companies with scores above 3 are not likely to go bankrupt. However, in recent years, a z-score closer to 0 indicates a company may be in financial trouble.
The five ratios can be calculated using the following formulas:
- Working Capital = Current Assets - Current Liabilities
- Retained Earnings = Total Shareholders' Equity - Common Stock
- EBIT = Net Income + Interest Expense
- Market Capitalization = Market Value of Equity
- Sales = Revenue
For example, Virgin Galactic's fiscal year 2023 financial data can be used to calculate the various Altman Z-Scores (Z, Z', and Z") to assess the company's financial distress and bankruptcy risk.
Interpreting the Altman Z-Score
The Altman Z-Score is a powerful tool for predicting a company's likelihood of bankruptcy. It's based on five financial ratios that can be calculated from a company's annual 10-K report.
The Z-Score was developed by NYU Stern Finance Professor Edward Altman in 1967, and it's been updated over the years to improve its accuracy. In his original 1968 study, Altman found that the Z-Score was 95% accurate in predicting bankruptcy one year before the event.
To interpret the Z-Score, you need to know the cut-off points. For public manufacturing companies, a Z-Score above 2.99 indicates a safe financial position, while a score between 1.81 and 2.99 falls into the gray zone, where there's some risk of bankruptcy. A score below 1.81 indicates a high probability of bankruptcy within the next two years.
Here's a summary of the cut-off points for public manufacturing companies:
In recent years, Altman has updated the Z-Score formula and found that the safe zone has become more lenient, with a Z-Score closer to 0 being the figure at which investors should worry about a company's financial strength. However, these cut-off points are not absolute and may vary depending on the industry or economic conditions.
Overall, the Altman Z-Score is a useful tool for assessing a company's financial health and bankruptcy risk, but it's essential to consider the limitations of the model and use it in conjunction with other financial metrics.
Altman Z-Score in Practice
The Altman Z-Score is a widely-used model that can be calculated using five financial ratios. These ratios include working capital to total assets, retained earnings to total assets, earnings before interest and tax to total assets, market value of equity to total liabilities, and sales to total assets.
To calculate the Altman Z-Score, you can use the formula: Altman Z-Score = 1.2A + 1.4B + 3.3C + 0.6D + 1.0E, where A, B, C, D, and E are the respective ratios.
A score below 1.8 means a company is likely headed for bankruptcy, while a score above 3 means it's not likely to go bankrupt. However, in recent years, a Z-score closer to 0 indicates a company may be in financial trouble, as noted by Professor Altman himself in his 2019 lecture.
Here are the five financial ratios used to calculate the Altman Z-Score, along with their respective weights:
- A = Working Capital / Total Assets (1.2)
- B = Retained Earnings / Total Assets (1.4)
- C = Earnings Before Interest and Tax / Total Assets (3.3)
- D = Market Value of Equity / Total Liabilities (0.6)
- E = Sales / Total Assets (1.0)
Excel Calculator Template
If you're looking to calculate the Altman Z-Score for a company, you can use a pre-built Excel model template. This template will help you plug in the necessary numbers and arrive at a score.
The Altman Z-Score formula is as follows: Altman Z-Score = 1.2A + 1.4B + 3.3C + 0.6D + 1.0E, where A, B, C, D, and E represent specific financial metrics.
To use the template, you'll need to input the following values:
- A = working capital / total assets
- B = retained earnings / total assets
- C = earnings before interest and tax / total assets
- D = market value of equity / total liabilities
- E = sales / total assets
By plugging in these numbers, you can arrive at a Z-Score that will indicate whether a company is at risk of bankruptcy or not.
Public U.S. Manufacturing
The Altman Z-Score is a powerful tool for predicting corporate bankruptcy in public U.S. manufacturing companies.
The model was developed by Edward I. Altman in 1968, and it's based on a statistical method called discriminant analysis, which increases the statistical significance of findings compared to univariate analysis.
Altman's study included 66 publicly traded manufacturing companies in the U.S., equally divided between those that had filed for bankruptcy and those that hadn't.
The sample was restricted to manufacturing firms in the U.S. with total assets ranging from $1-$25 million to ensure comparability.
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The original Z-Score model was designed to predict corporate bankruptcy within two years.
To calculate the Z-Score, you need to use five key financial ratios: Working Capital / Total Assets, Retained Earnings / Total Assets, Earnings Before Interest and Taxes (EBIT) / Total Assets, Market Value of Equity / Total Liabilities, and Sales / Total Assets.
Here are the five financial ratios used in the Altman Z-Score model:
- X1 = Working Capital / Total Assets
- X2 = Retained Earnings / Total Assets
- X3 = Earnings Before Interest and Taxes (EBIT) / Total Assets
- X4 = Market Value of Equity / Total Liabilities
- X5 = Sales / Total Assets
The original Z-Score model correctly identified 95% of bankrupt U.S. manufacturing companies one year before the event.
The model's accuracy diminishes beyond the two-year horizon, but it's still a useful tool for assessing a company's financial health and bankruptcy risk.
Non-Manufacturers
Virgin Galactic, an aerospace and spaceflight company, is a great example of a non-manufacturer that has faced significant challenges in its business model. The company's share price has plummeted, and it's now trading as a penny stock.
The Altman Z"-Score model, introduced in 1995, is specifically designed for non-manufacturing companies, both public and private. This model removes the X5 variable to minimize the potential industry effect.
To calculate the Altman Z"-Score, you'll need to gather financial data from the company's income statement and balance sheet. The relevant ratios include the X1, X2, X3, and X4 variables.
Virgin Galactic's FY 2023 financial data can be used to calculate the Altman Z"-Score. This is despite the fact that the company is more of an aerospace and defense company, making the Altman Z"-Score technically not applicable.
Here's a summary of the Altman Z"-Score formula:
These variables are used to assess the financial distress and bankruptcy risk of non-manufacturing companies like Virgin Galactic.
Emerging Markets
Altman Z-Score has been revised to accommodate companies in emerging markets, both public and private. This revised model is known as the Altman EMS (Emerging Market Scoring) model.
The Altman EMS model was thoroughly discussed in a 2005 paper titled "An Emerging Market Credit Scoring System for Corporate Bonds."
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Proprietary Models
Altman developed two proprietary credit risk models: the ZETA credit risk model in 1977 and the Altman Z-Score Plus model in 2012. Both models build upon the original Z-Score approach with several enhancements.
The ZETA credit risk model is a second-generation model that was developed using a sample of 53 bankrupt and 58 non-bankrupt firms. This makes it more applicable to the increasing size of bankrupt firms in the 1970s.
The ZETA model includes both manufacturing and retail firms in the sample, with appropriate adjustments made to capitalize leases, a key factor for retailers. Data was also adjusted for recent changes in financial reporting standards as of the 1970s.
The ZETA model was tested using both linear and quadratic forms of discriminant analysis, with the linear form found to perform better. This is in contrast to the original Z-Score model, which only used the linear form.
The final 7 variables/ratios selected for the ZETA model are as follows:
- X1 = Return on Assets (EBIT / TA)
- X2 = Stability of Earnings (measured by a normalized measure of the standard error of estimate around a 5 to 10-year trend in X1)
- X3 = Debt Service (EBIT / Total Interest Payments)
- X4 = Cumulative Profitability (Retained Earnings / TA)
- X5 = Liquidity (Current Assets / Current Liabilities)
- X6 = Capitalization (Market Value Equity / Total Capital)
- X7 = Size (Total assets)
The ZETA model is still used today by practitioners to assess bankruptcy risk, but its full specifications, coefficients, and ongoing research are only available to subscribers of "ZETA Services, Inc."
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The Bottom Line
The Altman Z-Score is a widely-used model developed by Edward I. Altman in 1968 to predict the likelihood of corporate bankruptcy within two years. It combines five key financial ratios, each weighted differently, to generate a single score that reflects a company's financial health.
The original Z-Score model was designed for publicly traded U.S. manufacturing companies, with subsequent adaptations (Z'-Score and Z"-Score) to accommodate private companies, non-manufacturers, and emerging markets companies. Proprietary versions, such as the ZETA Credit Risk Model and Altman Z-Score Plus, incorporate additional variables and industry-specific factors to improve predictive accuracy.
Altman's extensive research and testing found the Z-Score models to be highly accurate in predicting bankruptcy within one to two years, with the original model correctly identifying 95% of bankrupt U.S. manufacturing companies one year before the event.
The Z-Score models' accuracy diminishes beyond the two-year horizon, making them less reliable for long-term predictions. However, they can still provide valuable insights into a company's financial health and bankruptcy risk.
Here's a summary of the Z-Score interpretation zones:
The specific range for each zone varies across the different Z-Score models, but generally falls between 0 and 3. A lower Z-Score indicates a higher risk of bankruptcy, while a higher Z-Score suggests a lower risk.
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Related Concepts and Models
The Altman Z-score is a widely used model for assessing a company's bankruptcy risk, but it's not the only tool in the toolbox. The ZETA Credit Risk Model, developed by Altman and his colleagues in 1977, is another important model that builds upon the original Z-Score approach.
The ZETA model includes a sample of 53 bankrupt and 58 non-bankrupt firms, with an average asset size of approximately $100 million. This makes it more applicable to the increasing size of bankrupt firms in the 1970s.
The model uses a combination of 7 variables/ratios, including Return on Assets, Stability of Earnings, and Liquidity. These variables are weighted and combined to produce a score that indicates a company's likelihood of bankruptcy.
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Here are the 7 variables/ratios used in the ZETA model:
- X1 = Return on Assets (EBIT / TA)
- X2 = Stability of Earnings (measured by a normalized measure of the standard error of estimate around a 5 to 10-year trend in X1)
- X3 = Debt Service (EBIT / Total Interest Payments)
- X4 = Cumulative Profitability (Retained Earnings / TA)
- X5 = Liquidity (Current Assets / Current Liabilities)
- X6 = Capitalization (Market Value Equity / Total Capital)
- X7 = Size (Total assets)
The ZETA model takes the form: Z = V1X1 + V2X2 + … + V7X7, where V1-V7 are the discriminant coefficients. The exact coefficients are proprietary.
The ZETA model is still used today by practitioners to assess bankruptcy risk, and it's been shown to be over 90% accurate in classifying bankrupt firms 1 year prior to bankruptcy and 70% accurate up to 5 years prior.
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