ThisCalculator

Statistics

Altman Z-Score Calculator: Formula and Interpretation

Updated · Standard formula, shown below

The calculator for this page is switched off while it is checked. The formula is below, and the worked example in the article shows how to use it by hand.

Altman Z-Score Calculator: Formula and Interpretation

An Altman Z-score calculator estimates a company’s financial-distress risk by combining selected accounting ratios. Enter the required balance-sheet and income-statement figures, using consistent units, to calculate a score that can be compared with the appropriate model’s interpretation ranges.

Formula

The classic Altman Z-score for publicly traded manufacturing companies is:

Z = 1.2X₁ + 1.4X₂ + 3.3X₃ + 0.6X₄ + 1.0X₅

  • X₁ = working capital ÷ total assets. Working capital and total assets use the same currency units.
  • X₂ = retained earnings ÷ total assets. Both figures use the same currency units.
  • X₃ = EBIT ÷ total assets. EBIT means earnings before interest and taxes; both amounts use the same currency units.
  • X₄ = market value of equity ÷ total liabilities. Both amounts use the same currency units. Market value of equity is usually share price multiplied by shares outstanding.
  • X₅ = sales ÷ total assets. Both amounts use the same currency units.

The calculator block provides the inputs for the first four ratios, but it does not include sales. To calculate the classic score, add a sales input and use the expression shown above. The block’s output line needs that input to be added as in sales | Sales | currency units | 1000000 | 0; as written, it cannot calculate a result because sales is not defined. This is an important limitation of the supplied calculator specification, not a different version of the Altman formula.

Worked Example

The specified defaults are working capital of 250,000, total assets of 1,000,000, retained earnings of 200,000, EBIT of 100,000, market equity of 600,000 and total liabilities of 400,000. These give:

  • X₁ = 250,000 ÷ 1,000,000 = 0.25; contribution: 1.2 × 0.25 = 0.30.
  • X₂ = 200,000 ÷ 1,000,000 = 0.20; contribution: 1.4 × 0.20 = 0.28.
  • X₃ = 100,000 ÷ 1,000,000 = 0.10; contribution: 3.3 × 0.10 = 0.33.
  • X₄ = 600,000 ÷ 400,000 = 1.50; contribution: 0.6 × 1.50 = 0.90.

These four contributions total 1.81. If sales are set to the example value of 1,000,000, then X₅ = 1.00 and its contribution is 1.00, giving a classic Z-score of 2.81. The defaults in the block alone do not specify sales, so 2.81 is the completed example result, not an output the block can produce as currently written.

What the Score Means

In the original model, commonly cited guideposts for publicly traded manufacturers are a score above 2.99, often called the “safe” zone; a score below 1.81, often called the distress zone; and scores in between, often called the grey zone. They are screening thresholds, not guarantees or predictions of a particular company’s fate. A score of 2.81, for example, falls in the traditional grey zone.

The score combines liquidity, accumulated profitability, operating performance, market equity relative to liabilities and asset turnover. A higher number generally indicates stronger financial indicators under this model. It does not state the probability of bankruptcy, and the threshold labels should not be treated as universal across industries, countries or company types.

Choosing the Right Altman Model

“Altman Z-score” can refer to several related equations. The classic five-factor version above was developed for publicly traded manufacturing firms. Later versions adjust the variables or coefficients for other settings, including private manufacturing companies and nonmanufacturing businesses. Their inputs and interpretation cutoffs differ, so substituting data into the wrong version can produce a misleading result.

  • Use the original model only when the company and data fit its intended context.
  • For private firms, note that a market value of equity may not be readily observable; an adapted model may use a different measure.
  • For nonmanufacturers, use a version designed for that context rather than assuming the original thresholds apply.
  • Check which accounting period and reporting basis the chosen model expects.

When a company operates across sectors or has unusual financial statements, the score may be less informative. State clearly which version you used whenever reporting a result.

How to Use It and Common Errors

Collect the figures from the same reporting period and use the same currency and scale for all monetary inputs. A company reporting in thousands can use thousands throughout; the ratios remain unchanged. Working capital is generally current assets minus current liabilities. EBIT is an operating earnings measure before interest and taxes, while retained earnings are the cumulative earnings retained in the business, subject to the company’s accounting presentation.

  • Do not enter a percentage where the formula expects a ratio. For example, 25% should be entered as 0.25.
  • Do not mix thousands with full currency amounts, or figures from different reporting dates.
  • Do not replace total liabilities with total debt unless the selected model specifically defines that input that way.
  • Use market capitalization for market value of equity in the original public-company model, not book equity.
  • Keep unrounded ratios through the calculation; round the final score for display.

Negative working capital or retained earnings can legitimately reduce the score; do not change negative values to zero simply because they seem unfavorable. Conversely, zero total assets or zero total liabilities makes a required ratio undefined, so the formula cannot return a meaningful score from those inputs.

Limits and Related Measures

The Z-score is a historical, accounting-based screening tool. It can lag rapid changes, be affected by accounting choices, and behave poorly when a company’s business model differs from the model’s original sample. Market equity can also change sharply, causing the score to move even when the latest financial statements have not changed.

It is not a substitute for reviewing cash flows, debt maturities, liquidity, business conditions and disclosures. Analysts may compare it with other financial ratios or distress-screening models, but different models have distinct assumptions and should not be blended casually. A single score is best treated as a prompt for further investigation, not as a standalone verdict.

Frequently Asked Questions

What is a good Altman Z-score?
A score above 2.99 is traditionally considered the safer zone for the original publicly traded manufacturing model. That benchmark is model-specific and does not guarantee financial health.

Does the Altman Z-score predict bankruptcy?
No. It estimates financial-distress risk from selected financial ratios; it does not provide certainty or a precise bankruptcy probability.

Can I use the original Z-score for a private company?
Not automatically. The original formula uses market value of equity and was designed for publicly traded manufacturers. An adapted model may be more appropriate for a private company.

What does a grey-zone score mean?
It falls between the traditional distress and safer thresholds. It signals uncertainty under the model and is a reason to examine other evidence, not a definitive classification.

Why can’t this calculator produce a score without sales?
The classic five-factor equation includes sales divided by total assets. Without sales, the fifth ratio is missing, so the complete score cannot be calculated.

Related

Formula used
in wc | Working capital | currency units | 250000 | 0
in ta | Total assets | currency units | 1000000 | 0
in re | Retained earnings | currency units | 200000 | 0
in ebit | EBIT | currency units | 100000 | 0
in mve | Market value of equity | currency units | 600000 | 0
in tl | Total liabilities | currency units | 400000 | 0
out z | Altman Z-score | score | 1.2 * (wc / ta) + 1.4 * (re / ta) + 3.3 * (ebit / ta) + 0.6 * (mve / tl) + 1.0 * (sales / ta) | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.