Finance & Economics · Corporate Finance · Credit Analysis
Altman Z-Score Calculator
Calculates the Altman Z-Score to predict corporate bankruptcy risk using five weighted financial ratios derived from a company's balance sheet and income statement.
Calculator
Formula
Z is the overall Z-Score. X1 = Working Capital / Total Assets (liquidity). X2 = Retained Earnings / Total Assets (cumulative profitability). X3 = EBIT / Total Assets (operating efficiency). X4 = Market Value of Equity / Total Liabilities (leverage). X5 = Revenue / Total Assets (asset utilization / turnover). Each variable is a ratio, dimensionless, entered as a decimal (e.g., 0.25 for 25%).
Source: Altman, E.I. (1968). 'Financial Ratios, Discriminant Analysis and the Prediction of Corporate Bankruptcy.' Journal of Finance, 23(4), 589–609.
How it works
Edward Altman derived the Z-Score by applying multiple discriminant analysis (MDA) to a matched sample of 66 US manufacturing firms — half of which had filed for bankruptcy. He tested 22 potential financial ratios and identified five that, in combination, produced the strongest separation between bankrupt and non-bankrupt firms. The resulting weighted linear equation produces a single numerical score that maps onto three risk zones, giving practitioners a fast, model-driven credit signal without needing complex probabilistic machinery.
The five components each capture a distinct dimension of financial health. X1 (Working Capital / Total Assets) measures short-term liquidity relative to firm size. X2 (Retained Earnings / Total Assets) captures cumulative profitability and internal financing capacity — older, profitable firms naturally score higher. X3 (EBIT / Total Assets) reflects operating productivity and is independent of tax and leverage effects. X4 (Market Value of Equity / Total Liabilities) shows how much the firm's market capitalization can decline before liabilities exceed assets, a leverage-adjusted solvency buffer. X5 (Revenue / Total Assets) measures asset turnover and management's efficiency in generating sales from its asset base. Together, these five ratios span liquidity, profitability, leverage, and efficiency — the core pillars of corporate financial analysis.
In practice, the Z-Score is used by credit analysts to supplement traditional ratio analysis, by equity investors screening for financial distress risk, and by lenders setting covenant thresholds. Scores above 2.99 indicate a financially safe company; scores between 1.81 and 2.99 fall into a grey zone where bankruptcy risk is elevated but uncertain; and scores below 1.81 signal a high likelihood of financial distress or bankruptcy within two years. Altman reported an original accuracy rate of approximately 95% for firms tested one year before bankruptcy.
Worked example
Consider a hypothetical manufacturing firm with the following data drawn from its most recent annual report:
- Working Capital: $50M, Total Assets: $200M → X1 = 0.25
- Retained Earnings: $60M, Total Assets: $200M → X2 = 0.30
- EBIT: $30M, Total Assets: $200M → X3 = 0.15
- Market Value of Equity: $108M, Total Liabilities: $120M → X4 = 0.90
- Revenue: $220M, Total Assets: $200M → X5 = 1.10
Applying the Altman formula:
Z = 1.2(0.25) + 1.4(0.30) + 3.3(0.15) + 0.6(0.90) + 1.0(1.10)
Z = 0.300 + 0.420 + 0.495 + 0.540 + 1.100 = 2.855
A Z-Score of 2.855 places this firm in the grey zone (1.81–2.99). While not in immediate distress, the firm is not safely above the threshold. A credit analyst would monitor trends — particularly whether EBIT or retained earnings are improving or declining quarter over quarter — and might assign a slightly elevated credit spread relative to investment-grade peers.
Limitations & notes
The original Altman Z-Score was calibrated on a sample of publicly traded US manufacturing firms from the 1960s, which imposes several important constraints on its modern application. It should not be applied directly to private companies, financial institutions, utilities, or non-manufacturing firms without using one of Altman's later variants — the Z'-Score for private firms or the Z''-Score for non-manufacturers and emerging market companies, which use different coefficients and replace X4's market value of equity with book value. Additionally, accounting manipulation can distort individual inputs; a high retained earnings figure may reflect aggressive capitalization rather than genuine profitability. The model is also a static snapshot — a single period's ratios may not reflect structural trends, and the grey zone inherently carries classification uncertainty. Macroeconomic regime shifts since the 1960s mean the original cut-off values may not perfectly calibrate to today's credit environment, and some research suggests the model's predictive accuracy degrades beyond one to two years before bankruptcy. Always use the Z-Score as one component of a broader credit analysis rather than a standalone decision tool.
Frequently asked questions
What is a good Altman Z-Score?
A Z-Score above 2.99 is considered 'safe,' indicating low bankruptcy risk within two years. Scores between 1.81 and 2.99 fall in the grey zone where risk is elevated but uncertain, and scores below 1.81 signal high financial distress. The higher the score, the stronger the firm's financial health according to the model.
Can the Altman Z-Score be used for private companies?
The original model requires the market value of equity for X4, which is only observable for publicly traded firms. Altman developed a modified version called the Z'-Score for private companies, which substitutes book value of equity for market value and recalibrates the coefficients. Using the original formula on a private firm will produce unreliable results.
Is the Altman Z-Score applicable to banks and financial institutions?
No. Banks and financial institutions have fundamentally different balance sheet structures — high leverage is normal and regulatory capital ratios govern solvency, not the working capital and asset turnover metrics in the Altman model. Altman explicitly excluded financial firms from his original study, and dedicated credit models such as the KMV model or regulatory stress tests are more appropriate for banks.
How accurate is the Altman Z-Score at predicting bankruptcy?
In Altman's original 1968 study, the model achieved approximately 95% accuracy when applied one year before bankruptcy and around 72% accuracy two years prior. Out-of-sample and more recent studies show somewhat lower accuracy, typically in the 80–90% range for one-year predictions. The grey zone carries inherent classification uncertainty and should be interpreted with caution.
Should I enter ratios as percentages or decimals?
Enter all five ratios as decimals, not percentages. For example, if working capital is 25% of total assets, enter 0.25, not 25. This matches the dimensionless ratio format used in Altman's original formulation and ensures the weighted coefficients produce the correct Z-Score output.
Last updated: 2025-01-15 · Formula verified against primary sources.