Altman Z-Score
Calculate a company's Altman Z-Score to predict its probability of bankruptcy within two years.
Understanding the Altman Z-Score
The Altman Z-Score is a widely used financial metric designed to predict the probability that a company will enter bankruptcy within a two-year period. Developed by NYU Stern School of Business professor Edward Altman in 1968, the score relies on five key financial ratios derived from standard corporate balance sheets and income statements.
For investors, creditors, and business managers, the Z-Score is a reliable indicator of financial health. It helps evaluate credit risk, assess company performance, and identify potential signs of financial distress early. It is often used alongside other accounting quality metrics, such as our Accrual Ratio Calculator, to build a comprehensive picture of a company's financial reporting health.
The Altman Z-Score Formulas
Depending on the type of company being evaluated, the Altman Z-Score applies different weightings to five financial ratios:
- X1 (Working Capital / Total Assets): Measures short-term liquidity. A higher ratio indicates more liquid assets relative to overall size.
- X2 (Retained Earnings / Total Assets): Measures cumulative profitability over time. Reflects the company's leverage history.
- X3 (EBIT / Total Assets): Measures productivity of assets in generating operating profits.
- X4 (Equity Value / Total Liabilities): Measures solvency. For public companies, this uses the market capitalization. For private companies, it uses the book value of equity.
- X5 (Sales / Total Assets): Measures asset turnover, reflecting how efficiently assets are used to generate sales revenue.
Formula 1: Public Manufacturing Companies
\[Z = 1.2 X_1 + 1.4 X_2 + 3.3 X_3 + 0.6 X_4 + 0.99 X_5\]
Formula 2: Private Manufacturing Companies
\[Z = 0.717 X_1 + 0.847 X_2 + 3.107 X_3 + 0.42 X_4 + 0.998 X_5\]
Formula 3: Non-Manufacturing and Service Companies
Note: The sales ratio (X5) is omitted for service companies to prevent industry bias.
\[Z = 6.56 X_1 + 3.26 X_2 + 6.72 X_3 + 1.05 X_4\]
Interpretation of Z-Scores
Once the Z-Score is calculated, it falls into one of three risk zones:
| Company Type | Distress Zone (High Risk) | Grey Zone (Moderate Risk) | Safe Zone (Low Risk) |
|---|---|---|---|
| Public Manufacturing | Z <= 1.8 | 1.8 < Z < 3.0 | Z >= 3.0 |
| Private Manufacturing | Z <= 1.23 | 1.23 < Z < 2.9 | Z >= 2.9 |
| Non-Manufacturing / Service | Z <= 1.1 | 1.1 < Z < 2.6 | Z >= 2.6 |
Frequently Asked Questions
How accurate is the Altman Z-Score?
Historical tests have shown the Altman Z-Score to be about 72% to 90% accurate in predicting bankruptcy within a two-year horizon. However, it should be used in combination with other financial analysis tools, as it can occasionally flag healthy companies as distressed.
Why is there a different formula for service companies?
Service and non-manufacturing companies typically own fewer physical assets and have different sales turnover dynamics compared to manufacturing businesses. Omitting the asset turnover ratio (X5) and adjusting the remaining weights prevents putting service companies at an unfair disadvantage.
Can a company recover from a Distress Zone score?
Yes. A distress score is not a guarantee of bankruptcy; it is an indicator of severe financial stress. Companies in this zone can recover by restructuring debt, improving working capital management, increasing operating profitability, or raising new equity capital.
What is the difference between book value and market value of equity?
Market value of equity is the total value of a public company's shares outstanding (share price multiplied by total shares). Book value of equity is the net assets shown on the balance sheet (total assets minus total liabilities) and is used when a company is not publicly traded.