What is The Altman Z-Score & Stress Testing?
Mathematical Foundation
Laws & Principles
- Safe Zone (Z > 2.99): The company has a robust balance sheet. Statistical probability of near-term bankruptcy is functionally zero based on Altman's original sample.
- Grey Zone (1.80 ≤ Z ≤ 2.99): The firm is statistically ambiguous — neither clearly safe nor clearly distressed. Companies in this band warrant heightened monitoring; many eventually tip into distress.
- Distress Zone (Z < 1.80): Severe financial distress. In Altman's original 1968 study, 72% of firms scoring below 1.80 filed for bankruptcy within two years.
- Dynamic Stress Testing: The base Z-Score only tells you where a firm stands today. Stress testing tells you if the firm's liquidity buffers (Working Capital and Retained Earnings — the two inputs NOT affected by market shocks) are strong enough to absorb a recessionary collapse in EBIT and equity market cap.
Step-by-Step Example Walkthrough
" A highly levered manufacturer has: WC $1.2M, RE $3M, EBIT $1.5M, MVE $10M, Liabilities $6M, Assets $12M, Sales $20M. A credit analyst stress-tests a 30% EBIT drop and 40% equity crash. "
- Base: X1=0.100, X2=0.250, X3=0.125, X4=1.667, X5=1.667 → Z = 1.2(0.10)+1.4(0.25)+3.3(0.125)+0.6(1.667)+1.0(1.667) = 0.12+0.35+0.413+1.00+1.667 = 3.55 (Safe)
- Stress X3: EBIT drops 30% → $1.05M. X3 = 1.05/12 = 0.0875. Contribution = 3.3×0.0875 = 0.289 (was 0.413, delta = −0.124)
- Stress X4: MVE drops 40% → $6M. X4 = 6/6 = 1.00. Contribution = 0.6×1.00 = 0.60 (was 1.00, delta = −0.40)
- Stressed Z = 3.55 − 0.124 − 0.40 = 3.03 — still Safe Zone, barely.