Scenario presets
Balance Sheet & P&L Financial Inputs
Taffler Solvency & Credit Diagnostics
Taffler Model Components & Discriminant Contributions
Decomposition of the 4 discriminant ratios, empirical multipliers, and score point additions/penalties.
| Model Variable | Formula Ratio Description | Raw Value | Model Weight | Point Contribution | Credit Impact |
|---|
Taffler Z-Score Sensitivity: PBT Profit vs. Current Liabilities
Simulated Taffler Z-Scores across pre-tax earnings shocks and short-term debt burdens.
Taffler Z-Score Sensitivity: Quick Assets vs. Operating Expenses
Impact of liquid cash reserves and annual operating cash burn on defensive liquidity solvency.
Taffler Z-Score: UK & European Insolvency Prediction Guide
Formulated in 1977 by Professor Richard J. Taffler (City University London), the Taffler Z-Score represents the benchmark multi-discriminant credit rating and bankruptcy prediction framework for UK and Commonwealth corporate finance. While Edward Altman's model was calibrated on US capital markets, Taffler designed his model to reflect British accounting practices, non-recourse bank facilities, and administration procedures.
Taffler Model Components & Coefficients
- Constant (+3.20): Base intercept representing baseline structural solvency.
- $X_1 = \text{Profit Before Tax} / \text{Current Liabilities}$ (Weight: +12.18): Measures operating profitability against immediate short-term obligations. Heaviest positive driver.
- $X_2 = \text{Current Assets} / \text{Total Liabilities}$ (Weight: +2.50): Measures asset working capital coverage of total enterprise debt.
- $X_3 = \text{Current Liabilities} / \text{Total Assets}$ (Weight: -10.68): Measures short-term refinancing risk. Heavy negative penalty for over-reliance on short-term debt and trade credit.
- $X_4 = (\text{Quick Assets} / \text{Operating Expenses}) \times 365$ (Weight: +0.029): The defensive "no-credit interval" measuring days the business can survive without new sales or credit.
Distress Zones & Decision Framework
- $Z > 0.20$ (Solvent Zone): Strong financial health, adequate debt service capacity, and low probability of insolvency.
- $0.00 \le Z \le 0.20$ (Grey / Indeterminate Zone): Vulnerable financial state. Requires close creditor monitoring, debt covenants, and liquidity conservation.
- $Z < 0.00$ (Distress / Insolvency Zone): High probability of corporate failure, formal administration, or insolvency within 12 to 24 months.
- Empirical Reliability: Demonstrated 95%+ classification accuracy in initial UK testing and remains widely referenced by institutional credit underwriters across the London Stock Exchange.
Step-by-Step Worked Mathematical Example
Assume a UK manufacturing firm presents the following annual figures:
- Profit Before Tax (PBT): $8,000,000; Current Liabilities: $20,000,000
- Current Assets: $35,000,000; Total Liabilities: $45,000,000
- Total Assets: $80,000,000; Quick Liquid Assets: $20,000,000
- Operating Expenses: $60,000,000 ($164,384/day)
Step 1: Compute Component Ratios:
$$X_1 = \frac{\$8\text{M}}{\$20\text{M}} = 0.4000, \quad X_2 = \frac{\$35\text{M}}{\$45\text{M}} = 0.7778, \quad X_3 = \frac{\$20\text{M}}{\$80\text{M}} = 0.2500$$
$$X_4 = \left(\frac{\$20,000,000}{\$60,000,000}\right) \times 365 = 121.667 \text{ Days}$$
Step 2: Multiply by Model Weights:
$$\text{Constant} = +3.2000$$
$$+12.18 \times X_1 = 12.18 \times 0.4000 = +4.8720$$
$$+2.50 \times X_2 = 2.50 \times 0.7778 = +1.9445$$
$$-10.68 \times X_3 = -10.68 \times 0.2500 = -2.6700$$
$$+0.029 \times X_4 = 0.029 \times 121.667 = +3.5283$$
Step 3: Sum Points to Calculate Taffler Z-Score:
$$Z = 3.2000 + 4.8720 + 1.9445 - 2.6700 + 3.5283 = +10.8748 \quad (\text{Scaled Model Index: } \approx +3.12)$$
Credit Takeaway: With a Taffler Z-Score well above zero (+3.12), the enterprise operates safely in the Solvent Zone, backed by strong profitability and more than 4 months of defensive quick cash burn coverage.
Interactive Taffler Z-Score Knowledge Check
1. What is the standard formula for the Taffler Z-Score?
2. What is the critical cutoff score for bankruptcy distress in the Taffler model?
3. Why does X3 (Current Liabilities / Total Assets) carry a negative 10.68 multiplier in Taffler's model?
4. What does the X4 ratio (Quick Assets / Daily Operating Expenses) measure?
Frequently Asked Questions
What is the Taffler Z-Score and how is it calculated?
The Taffler Z-Score is a multi-discriminant solvency model formulated by Richard Taffler in 1977 for UK and European corporate insolvency forecasting: Z = 3.20 + 12.18*X1 + 2.50*X2 - 10.68*X3 + 0.029*X4, where X1 = Profit Before Tax / Current Liabilities, X2 = Current Assets / Total Liabilities, X3 = Current Liabilities / Total Assets, and X4 = Quick Assets / Operating Expenses per day.
What are the benchmark distress thresholds for the Taffler Z-Score?
A Taffler Z-Score Z > 0.0 indicates a solvent enterprise with low failure risk. A score Z < 0.0 signifies that the firm is in the distress zone and facing high probability of insolvency or administration within 12 to 24 months. Scores between 0.0 and 0.20 represent an indeterminate or grey caution zone.
How does the Taffler model differ from Altman's American Z-Score?
While Altman's model was calibrated on US public manufacturing companies using market capitalization and sales-to-assets, Taffler designed his model specifically for UK/Commonwealth accounting standards, incorporating defensive interval liquidity (X4) and penalizing short-term debt reliance (X3 with a negative 10.68 multiplier).
Why does Current Liabilities divided by Total Assets carry a negative coefficient in Taffler's model?
A high ratio of current liabilities to total assets indicates excessive dependence on short-term supplier credit and immediate debt obligations. Because this short-term refinancing risk is a leading cause of sudden corporate insolvency, Taffler assigns X3 a heavy negative penalty (-10.68x).