Z Score
The Altman Z-score is the result of a credit-strength test that predicts the chance of bankruptcy for a publicly traded manufacturing company.
The Altman Z-score is a metric for determining whether a company, particularly one in the manufacturing industry, is on the verge of bankruptcy.
Profitability, leverage, liquidity, solvency, and activity ratios are all considered in the calculation.
An Altman Z-score near to 0 indicates that a company is likely to go bankrupt, whereas a score closer to 3 indicates that a corporation is in good financial shape.
(Ref: Altman, E, I., (2019)Distressed Firm and Bankruptcy Prediction in an International Context: A Review and Empirical Analysis of Altman’s Z-Score Model . Journal of Investment Consulting, Vol. 19, no. 1, 2019, pp. 15-22, Available at SSRN: https://ssrn.com/abstract=3522672 )
Z-Score Models for private firms : ζ = 0.717·x1 + 0.847·x2 + 3.107·x3 + 0.420·x4 + 0 .998·x5
Z-Score Model for public firms : ζ = 0.012·x1 + 0.014·x2 + 0.033·x3 + 0.006·x4 + 0 .999·x5
or 1.2·x1 + 1.4·x2 + 3.3·x3 + 0.6·x4 + 1.0·x5
Where:
Zeta (ζ) is the Altman’s Z-score
x1 is the Working Capital/Total Assets ratio
x2 is the Retained Earnings/Total Assets ratio
x3 is the Earnings Before Interest and Tax (EBIT)/Total Assets ratio
x4 is the Market Value of Equity (Market capitalization)/Total Liabilities ratio
x5 is the Total Sales/Total Assets ratio
Example of Z Score Calculation
Balance Sheet
ASSETS
Non-current assets
Property 60,000.00
Plant and machinery 30,000.00
Vehicles 10,000.00
100,000.00
Current assets
Inventory 40,000.00
Trade receivables 20,000.00
60,000.00
Total Assets 160,000.00
LIABILITIES
Shareholders' funds and reserve 120,000.00
Non-current liabilities
Long-term loan
current liabilities
Trade payables 30,000.00
Bank overdraft 10,000.00
40,000.00
Total Liabilities 160,000.00
Example of Z Score Calculation
Income Statements
Sales 60,000.00
Cost of goods sold 40,000.00
Gross Profit 20,000.00
Operational expenses 5,000.00
EBIT 15,000.00
Interest 2000.00
Tax 3000.00
Net Earnings 10,000.00
Additional Information
Dividend 2000
Number of share 10000
Market price of share 80p
Components Score
x1 = Working cap. ÷ Total Assets
20000÷160000 =0.125
Working cap= Current asset-current liabilities
60000 - 40000 =20000
x2= Retained Earnings ÷ Total Assets
8000÷160000 =0.050
Retained earnings= Net Earning - Dividend
10000-2000 =8000
x3= EBIT ÷ Total Assets
15000÷160000 =0.094
x4= Market capitalization ÷Total Liabilities
8000÷40000 =0.200
Market capitalization= share price x number of share
0.80x10000 =8000
x5= Sales ÷ Total Assets
60000÷160000 =0.375
z =1.2x0.125+ 1.4x0.050+3.3x0.094+0.6x0.200+1x0.375
= 1.025
i.e. the company in a distress zone
Decision Criteria
If the Z value is more than 3.0 , then the firm is said to be in the “safe zone” and has a negligible probability of filing a bankruptcy.
If the Z value is between 1.8 and 3.0, then the firm is in the “grey zone” and has a moderate chance of bankruptcy.
If the Z value is below 1.8, then it is said to be in the “distress zone” and has a very high probability of reaching the stage of bankruptcy.