Kida Score Calculator & Bankruptcy Prediction Lab
Model Joseph M. Kida's (1980) 5-variable multi-discriminant credit scoring model, going-concern auditor qualifications, and solvency distress buffers.
Corporate Profile & Solvency Presets
Financial Statement Inputs
Enter corporate balance sheet and income statement metrics in thousands ($000).
1. Profitability & Asset Base
2. Capital Structure & Debt
3. Turnover & Liquid Reserves
Kida (1980) Discriminant Variable Breakdown
| V1 (Return on Assets): | 13.00% | Net Income / Total Assets (Weight: +1.042) |
| V2 (Equity-to-Debt Ratio): | 1.27x | Stockholders' Equity / Total Debt (Weight: +0.420) |
| V3 (Liquid Assets Ratio): | 32.00% | Liquid Quick Assets / Total Assets (Weight: -0.461) |
| V4 (Asset Turnover): | 0.96x | Net Sales / Total Assets (Weight: -0.463) |
| V5 (Cash Intensity): | 14.00% | Cash & Equivalents / Total Assets (Weight: +0.271) |
| Net Composite Z-Score: | +0.48 | Weighted sum of all 5 discriminant variables |
Credit Risk Sensitivity Matrices
Sensitivity Grid 1: Net Income vs Total Debt (Kida Z-Score)
Simulates how earnings deterioration and balance sheet leveraging shift the firm toward distress.
Sensitivity Grid 2: Net Sales vs Cash Reserves (Kida Z-Score)
Evaluates how operational top-line velocity and liquid liquidity cushions impact overall solvency.
Worked Calculation & Mathematical Specification
Published in the Journal of Accounting Research (1980), Joseph M. Kida developed this empirical model to investigate how audit partners formulate going-concern qualification decisions versus statistical linear discriminant functions.
$$Z_K = 1.042 V_1 + 0.420 V_2 - 0.461 V_3 - 0.463 V_4 + 0.271 V_5$$
$$\text{where:}$$
$$V_1 = \frac{\text{Net Income}}{\text{Total Assets}}, \quad V_2 = \frac{\text{Stockholders' Equity}}{\text{Total Debt}}, \quad V_3 = \frac{\text{Liquid Assets}}{\text{Total Assets}}$$
$$V_4 = \frac{\text{Net Sales}}{\text{Total Assets}}, \quad V_5 = \frac{\text{Cash}}{\text{Total Assets}}$$
$$\text{Decision Rule: } Z_K < 0.00 \implies \text{High Bankruptcy Probability (Going-Concern Qualification Likely)}$$
$$\text{Decision Rule: } Z_K \ge 0.00 \implies \text{Solvent / Continuity Expected}$$
Step-by-Step Calculation Walkthrough (Current Simulation State)
| Variable | Metric Name | Formula | Raw Value | Kida Coefficient | Weighted Contribution |
|---|
Forensic Credit & Auditing Insights
- The Power of Equity Cushion ($V_2$): The ratio of equity to debt serves as a primary shock absorber; firms with high leverage suffer rapid degradation in their Kida score even if short-term earnings remain positive.
- Why Negative Signs on $V_3$ and $V_4$? In multi-discriminant analysis, collinearity between variables often creates compensatory negative weights. Rapidly expanding sales ($V_4$) or trapped accounts receivable ($V_3$) without commensurate earnings ($V_1$) frequently signal overtrading and uncollected revenues in failing enterprises.
- Auditor Judgment vs Statistical Models: Kida's research revealed that quantitative discriminant models identify distress significantly faster than human auditors, who often suffer from status quo bias and reluctance to issue qualified audit opinions.
Kida Score & Credit Insolvency Knowledge Check Quiz
Test your understanding of the Kida bankruptcy prediction model, discriminant coefficients, and auditor going-concern assessments.
1. What is the critical threshold cutoff in the 1980 Kida model that divides solvent firms from high-bankruptcy-risk firms?
2. Which variable carries the single highest positive coefficient in Kida's discriminant equation?
3. Why did Joseph Kida originally develop this bankruptcy prediction model in his 1980 study?
4. If a company exhibits negative net income, high leverage (low equity to debt), and an overall Kida score of -0.65, what is the expected auditing outcome?
Frequently Asked Questions
What is the Kida Bankruptcy Prediction Model and how is it calculated?
The Kida Score is a 5-variable multi-discriminant analysis (MDA) model developed in 1980 by Joseph M. Kida to predict corporate failure and evaluate auditor going-concern qualification judgments. The model calculates Z = 1.042*V1 + 0.420*V2 - 0.461*V3 - 0.463*V4 + 0.271*V5, assessing return on assets, equity-to-debt leverage, liquid asset intensity, sales turnover, and cash coverage.
What are the five variables in Joseph Kida's discriminant model?
The five variables are: V1 = Net Income / Total Assets (ROA); V2 = Total Stockholders' Equity / Total Debt (solvency and capital cushion); V3 = Liquid Assets / Total Assets (cash, marketable securities, and accounts receivable); V4 = Net Sales / Total Assets (asset turnover and operating velocity); and V5 = Cash / Total Assets (pure cash liquidity buffer).
What cutoff score indicates bankruptcy or going-concern risk in the Kida model?
The critical threshold in Kida's model is 0.00. A score of Z < 0.00 indicates high distress risk and severe probability of financial failure within one year, warranting a going-concern audit qualification. A score of Z >= 0.00 indicates financial solvency and operational continuity, with scores above +0.30 considered safely prime.
How did Kida's empirical findings compare with auditor judgment?
Kida's 1980 research demonstrated that the statistical 5-variable linear discriminant model achieved approximately 90% classification accuracy in predicting corporate bankruptcy, outperforming human audit partners who often delayed going-concern qualifications due to client relationship pressures and behavioral biases.