Financial Distress and Bankruptcy Models
Financial distress models score a firm's likelihood of severe trouble from accounting ratios. The canonical example is the Altman Z-score (Altman, 1968), a five-ratio discriminant model combining working capital, retained earnings, EBIT, market value of equity, and sales, each scaled by assets. Zones of discrimination are commonly cited as safe (Z > 2.99), grey (1.81 to 2.99), and distress (Z < 1.81) for the original manufacturing model. Related models include Ohlson's O-score, Springate, Zmijewski, and Grover. Like the Beneish M-score, these are probabilistic early-warning tools, not guarantees of bankruptcy. A low Z says "elevated risk, investigate", never "certain failure".
Why it matters
Altman's idea was to let the data draw a line between firms that went bust and firms that survived, using a handful of balance-sheet and market ratios. The Z-score is where a firm falls relative to that line. A score deep in the distress zone means the firm statistically resembles past failures, which is a serious warning, but plenty of low-Z firms recover and some high-Z firms still collapse when something the ratios cannot see goes wrong. The score sharpens your prior about failure risk; it does not foretell the outcome.
Formulas
Worked examples
A manufacturer has X1 = 0.10, X2 = 0.05, X3 = 0.04, X4 = 0.40, and X5 = 1.0. Compute the Altman Z-score and interpret the zone.
Z = 1.2(0.10) + 1.4(0.05) + 3.3(0.04) + 0.6(0.40) + 1.0(1.0) = 0.12 + 0.07 + 0.132 + 0.24 + 1.0 = 1.562. Since 1.562 is below 1.81, the firm falls in the distress zone, meaning it statistically resembles firms that later failed. The correct reading is elevated bankruptcy risk warranting close monitoring and deeper credit analysis, not a certainty of failure.
Common mistakes
- ✗A low Altman Z-score means the firm will certainly go bankrupt. The Z-score is a probabilistic early-warning indicator; a distress-zone score signals elevated risk to investigate, not a guaranteed failure.
- ✗The original Z-score thresholds apply to every firm. The 1968 model and its cut-offs were estimated on public manufacturers; private firms, services, and emerging markets need re-estimated variants.
- ✗A safe-zone score guarantees survival. Healthy-looking firms can still fail from shocks the ratios do not capture, such as fraud or a sudden liquidity freeze; the score has false negatives.
- ✗Distress models and earnings-manipulation models measure the same thing. The Altman Z-score targets bankruptcy risk, while the Beneish M-score targets the probability of earnings manipulation; they are complementary, not interchangeable.
Revision bullets
- •Altman Z-score (1968): five ratios scaled by total assets
- •X1 working capital, X2 retained earnings, X3 EBIT, X4 market equity / liabilities, X5 sales
- •Original zones: safe > 2.99, grey 1.81 to 2.99, distress < 1.81
- •Related models: Ohlson O-score, Springate, Zmijewski, Grover
- •Probabilistic early-warning flags, not guarantees of bankruptcy
Quick check
In the original Altman Z-score, which set of ratios is combined?
A manufacturer's Altman Z-score is 1.4, in the distress zone. The correct interpretation is
Connected topics
Sources
- Altman, E. I. "Financial Ratios, Discriminant Analysis and the Prediction of Corporate Bankruptcy." The Journal of Finance 23, no. 4 (1968): 589-609.Original five-ratio Z-score discriminant model and its zones of discrimination.
- Jorion, FRM HandbookJorion, P. Financial Risk Manager Handbook. GARP / Wiley.Covers accounting-ratio credit-scoring and default-prediction models in credit-risk assessment.