Comprehensive Altman Z-Score Calculator for Credit Risk

Input Values

Result

The Altman Z-Score helps assess a company's credit risk. A higher score indicates lower risk of bankruptcy within two years.

Altman Z-Score Calculator

Introduction

The Altman Z-Score is a financial model developed by Edward I. Altman in 1968 to predict the likelihood of a company going bankrupt within two years. It combines five key financial ratios using a weighted sum to assess the financial health of a company. The Z-Score is widely used by investors, creditors, and financial analysts to evaluate credit risk.

Formula

The Altman Z-Score is calculated using the following formula:

Z = 1.2X_1 + 1.4X_2 + 3.3X_3 + 0.6X_4 + 1.0X_5

Where:

$X_1 = \frac{\text{Working Capital}}{\text{Total Assets}}$
$X_2 = \frac{\text{Retained Earnings}}{\text{Total Assets}}$
$X_3 = \frac{\text{Earnings Before Interest and Taxes (EBIT)}}{\text{Total Assets}}$
$X_4 = \frac{\text{Market Value of Equity}}{\text{Total Liabilities}}$
$X_5 = \frac{\text{Sales}}{\text{Total Assets}}$

Explanation of Variables

Working Capital (WC): Current Assets minus Current Liabilities. Indicates short-term financial liquidity.
Retained Earnings (RE): Cumulative profits reinvested in the company. Reflects long-term profitability.
EBIT: Earnings before interest and taxes. Measures operating efficiency.
Market Value of Equity (MVE): Number of outstanding shares multiplied by the current share price. Represents shareholder confidence.
Total Liabilities (TL): Sum of current and long-term liabilities.
Sales: Total revenue from goods or services sold.
Total Assets (TA): Sum of current and non-current assets.

Calculation

Step-by-Step Guide

Calculate Financial Ratios:
- $X_1 = \frac{\text{WC}}{\text{TA}}$
- $X_2 = \frac{\text{RE}}{\text{TA}}$
- $X_3 = \frac{\text{EBIT}}{\text{TA}}$
- $X_4 = \frac{\text{MVE}}{\text{TL}}$
- $X_5 = \frac{\text{Sales}}{\text{TA}}$
Apply Weights to Each Ratio:
- Multiply each $X$ ratio by its corresponding coefficient.
Sum the Weighted Ratios:
- $Z = 1.2X_1 + 1.4X_2 + 3.3X_3 + 0.6X_4 + 1.0X_5$

Numerical Example

Suppose a company has the following financial data (in USD millions):

Working Capital (WC): $50 million
Retained Earnings (RE): $200 million
EBIT: $100 million
Market Value of Equity (MVE): $500 million
Total Liabilities (TL): $400 million
Sales: $600 million
Total Assets (TA): $800 million

Calculating the Ratios:

$X_1 = \frac{50}{800} = 0.0625$
$X_2 = \frac{200}{800} = 0.25$
$X_3 = \frac{100}{800} = 0.125$
$X_4 = \frac{500}{400} = 1.25$
$X_5 = \frac{600}{800} = 0.75$

Calculating the Z-Score:

\begin{align*} Z &= 1.2(0.0625) + 1.4(0.25) + 3.3(0.125) + 0.6(1.25) + 1.0(0.75) \\ &= 0.075 + 0.35 + 0.4125 + 0.75 + 0.75 \\ &= 2.3375 \end{align*}

Interpretation

Z-Score > 2.99: Safe Zone – Low probability of bankruptcy.
1.81 < Z-Score < 2.99: Grey Zone – Uncertain risk; caution advised.
Z-Score < 1.81: Distress Zone – High probability of bankruptcy.

Result: A Z-Score of 2.34 places the company in the Grey Zone, indicating potential financial instability.

Edge Cases and Limitations

Negative Values: Negative inputs for net income, retained earnings, or working capital can significantly lower the Z-Score.
Applicability: The original model is best suited for publicly traded manufacturing companies.
Industry Differences: Non-manufacturing, private, and emerging market companies may require adjusted models (e.g., Z'-Score, Z''-Score).
Economic Conditions: Macro-economic factors are not considered in the model.

Use Cases

Applications

Bankruptcy Prediction: Early detection of financial distress.
Credit Analysis: Assisting lenders in evaluating loan risks.
Investment Decisions: Guiding investors toward financially stable companies.
Corporate Strategy: Helping management assess financial health and make strategic adjustments.

Alternatives

Z'-Score and Z''-Score Models

Z'-Score: Adapted for private manufacturing companies.
Z''-Score: Further adjusted for non-manufacturing and emerging market companies.

Other Models

Ohlson O-Score: A logistic regression model predicting bankruptcy risk.
Zmijewski Score: A probit model alternative focusing on financial distress.

When to Use Alternatives:

For companies outside the manufacturing sector.
When assessing private or non-publicly traded companies.
In different economic contexts or geographical regions.

History

Edward Altman introduced the Z-Score model in 1968 amidst increasing corporate bankruptcies. Utilizing multiple discriminant analysis (MDA), Altman analyzed 66 companies to identify key financial ratios predictive of bankruptcy. The model has since been refined and remains a foundational tool in credit risk assessment.

Additional Considerations

Impact of Financial Manipulation

Companies may engage in accounting practices that temporarily inflate financial ratios.
It's crucial to consider qualitative factors alongside quantitative scores.

Integration with Other Metrics

Combine the Z-Score with other analyses (e.g., cash flow analysis, market trends).
Use as part of a comprehensive due diligence process.

Code Examples

Excel

' Excel VBA Function for Altman Z-Score Calculation
Function AltmanZScore(wc As Double, re As Double, ebit As Double, mve As Double, tl As Double, sales As Double, ta As Double) As Double
    Dim X1 As Double, X2 As Double, X3 As Double, X4 As Double, X5 As Double
    
    X1 = wc / ta
    X2 = re / ta
    X3 = ebit / ta
    X4 = mve / tl
    X5 = sales / ta
    
    AltmanZScore = 1.2 * X1 + 1.4 * X2 + 3.3 * X3 + 0.6 * X4 + X5
End Function

' Usage in a cell:
' =AltmanZScore(A1, B1, C1, D1, E1, F1, G1)
' Where A1 to G1 contain the respective input values

Python

## Altman Z-Score Calculation in Python
def calculate_z_score(wc, re, ebit, mve, tl, sales, ta):
    X1 = wc / ta
    X2 = re / ta
    X3 = ebit / ta
    X4 = mve / tl
    X5 = sales / ta
    z_score = 1.2 * X1 + 1.4 * X2 + 3.3 * X3 + 0.6 * X4 + X5
    return z_score

## Example usage:
wc = 50
re = 200
ebit = 100
mve = 500
tl = 400
sales = 600
ta = 800

z = calculate_z_score(wc, re, ebit, mve, tl, sales, ta)
print(f"Altman Z-Score: {z:.2f}")

JavaScript

// JavaScript Altman Z-Score Calculation
function calculateZScore(wc, re, ebit, mve, tl, sales, ta) {
  const X1 = wc / ta;
  const X2 = re / ta;
  const X3 = ebit / ta;
  const X4 = mve / tl;
  const X5 = sales / ta;
  const zScore = 1.2 * X1 + 1.4 * X2 + 3.3 * X3 + 0.6 * X4 + X5;
  return zScore;
}

// Example usage:
const zScore = calculateZScore(50, 200, 100, 500, 400, 600, 800);
console.log(`Altman Z-Score: ${zScore.toFixed(2)}`);

Java

// Java Altman Z-Score Calculation
public class AltmanZScore {
    public static double calculateZScore(double wc, double re, double ebit, double mve, double tl, double sales, double ta) {
        double X1 = wc / ta;
        double X2 = re / ta;
        double X3 = ebit / ta;
        double X4 = mve / tl;
        double X5 = sales / ta;
        return 1.2 * X1 + 1.4 * X2 + 3.3 * X3 + 0.6 * X4 + X5;
    }

    public static void main(String[] args) {
        double zScore = calculateZScore(50, 200, 100, 500, 400, 600, 800);
        System.out.printf("Altman Z-Score: %.2f%n", zScore);
    }
}

R

## R Altman Z-Score Calculation
calculate_z_score <- function(wc, re, ebit, mve, tl, sales, ta) {
  X1 <- wc / ta
  X2 <- re / ta
  X3 <- ebit / ta
  X4 <- mve / tl
  X5 <- sales / ta
  z_score <- 1.2 * X1 + 1.4 * X2 + 3.3 * X3 + 0.6 * X4 + X5
  return(z_score)
}

## Example usage:
z_score <- calculate_z_score(50, 200, 100, 500, 400, 600, 800)
cat("Altman Z-Score:", round(z_score, 2))

MATLAB

% MATLAB Altman Z-Score Calculation
function z_score = calculate_z_score(wc, re, ebit, mve, tl, sales, ta)
    X1 = wc / ta;
    X2 = re / ta;
    X3 = ebit / ta;
    X4 = mve / tl;
    X5 = sales / ta;
    z_score = 1.2 * X1 + 1.4 * X2 + 3.3 * X3 + 0.6 * X4 + X5;
end

% Example usage:
z_score = calculate_z_score(50, 200, 100, 500, 400, 600, 800);
fprintf('Altman Z-Score: %.2f\n', z_score);

C++

// C++ Altman Z-Score Calculation
#include <iostream>

double calculateZScore(double wc, double re, double ebit, double mve, double tl, double sales, double ta) {
    double X1 = wc / ta;
    double X2 = re / ta;
    double X3 = ebit / ta;
    double X4 = mve / tl;
    double X5 = sales / ta;
    return 1.2 * X1 + 1.4 * X2 + 3.3 * X3 + 0.6 * X4 + X5;
}

int main() {
    double zScore = calculateZScore(50, 200, 100, 500, 400, 600, 800);
    std::cout << "Altman Z-Score: " << zScore << std::endl;
    return 0;
}

C#

// C# Altman Z-Score Calculation
using System;

class Program
{
    static double CalculateZScore(double wc, double re, double ebit, double mve, double tl, double sales, double ta)
    {
        double X1 = wc / ta;
        double X2 = re / ta;
        double X3 = ebit / ta;
        double X4 = mve / tl;
        double X5 = sales / ta;
        return 1.2 * X1 + 1.4 * X2 + 3.3 * X3 + 0.6 * X4 + X5;
    }

    static void Main()
    {
        double zScore = CalculateZScore(50, 200, 100, 500, 400, 600, 800);
        Console.WriteLine($"Altman Z-Score: {zScore:F2}");
    }
}

Go

// Go Altman Z-Score Calculation
package main

import (
    "fmt"
)

func calculateZScore(wc, re, ebit, mve, tl, sales, ta float64) float64 {
    X1 := wc / ta
    X2 := re / ta
    X3 := ebit / ta
    X4 := mve / tl
    X5 := sales / ta
    return 1.2*X1 + 1.4*X2 + 3.3*X3 + 0.6*X4 + X5
}

func main() {
    zScore := calculateZScore(50, 200, 100, 500, 400, 600, 800)
    fmt.Printf("Altman Z-Score: %.2f\n", zScore)
}

Swift

// Swift Altman Z-Score Calculation
func calculateZScore(wc: Double, re: Double, ebit: Double, mve: Double, tl: Double, sales: Double, ta: Double) -> Double {
    let X1 = wc / ta
    let X2 = re / ta
    let X3 = ebit / ta
    let X4 = mve / tl
    let X5 = sales / ta
    return 1.2 * X1 + 1.4 * X2 + 3.3 * X3 + 0.6 * X4 + X5
}

// Example usage:
let zScore = calculateZScore(wc: 50, re: 200, ebit: 100, mve: 500, tl: 400, sales: 600, ta: 800)
print(String(format: "Altman Z-Score: %.2f", zScore))

References

Altman, E. I. (1968). Financial Ratios, Discriminant Analysis and the Prediction of Corporate Bankruptcy. The Journal of Finance, 23(4), 589–609.
Altman Z-Score. Wikipedia. Retrieved from https://en.wikipedia.org/wiki/Altman_Z-score
Investopedia - Altman Z-Score. Retrieved from https://www.investopedia.com/terms/a/altman.asp

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