AlphaStocks

By Maksym Lytvynov, Founder of AlphaStocks | Last updated: 2026-09-23

Graham Fair Value: How to Estimate a Stock's Intrinsic Worth

The formula fits on one line: sqrt(22.5 × EPS × BVPS). Benjamin Graham did not write it in that form. In chapter 14 of The Intelligent Investor (revised edition, 1973) he capped a defensive investor's price at 15 times average earnings and 1.5 times book value, and as a rule of thumb allowed the product of the two multiples up to 22.5. The “Graham Number” is that rule solved for price — a derivation others made later, not Graham's own formula. The margin-of-safety thinking behind it is his. Here is how it works, and how AlphaStocks uses Graham today.

The Graham Number Formula

The classic Graham Number estimates intrinsic value from two inputs: earnings per share (EPS) and book value per share (BVPS):

Graham Number = sqrt(22.5 × EPS × BVPS)

The constant 22.5 is not arbitrary. Graham suggested that a defensive investor should not pay more than 15 times earnings (P/E ≤ 15) or more than 1.5 times book value (P/B ≤ 1.5) — though a lower P/E could justify a higher P/B, as long as the product of the two stays at or below 22.5 (15 × 1.5). Price appears in both ratios, so P/E × P/B = price² ÷ (EPS × BVPS); setting that equal to 22.5 and taking the square root gives the price at which the rule binds. Graham stated the rule; the square-root form was derived from it later.

Example:A company with EPS of $5.00 and BVPS of $40.00 yields a Graham Number of sqrt(22.5 × 5 × 40) = sqrt(4,500) = approximately $67.08. If the stock trades at $55, it is priced below the Graham Number, suggesting a potential margin of safety.

The Graham Formula for Growth Stocks

The Graham Number ignores growth. For growing companies Graham used a second formula, in the version he revised in 1974:

V = EPS × (8.5 + 2g) × 4.4 / Y

8.5 is the P/E Graham assigned a company with no growth, g is the expected annual earnings growth rate over the next 7 to 10 years, 4.4 was the AAA corporate bond yield when he wrote, and Y is the current AAA yield. EPS of $5.00, 8% growth and a 5.0% yield give 5 × 24.5 × 4.4 / 5 = $107.80. Because each point of growth adds two points of P/E, the result is only as good as the growth estimate. Try your own inputs in the Graham formula calculator.

The Margin of Safety

Graham's most important contribution to investing may not be the formula itself but the concept of margin of safety: the idea that you should only buy a stock when its market price is substantially below your estimate of intrinsic value.

This buffer protects you against three kinds of risk: errors in your assumptions, deterioration in the business after you buy, and general market downturns. Graham did not fix one percentage; the point is to demand a discount large enough to absorb being wrong.

On AlphaStocks, every fair value comes with a low–base–high range rather than a single point, and the Buffett model includes a margin-of-safety test of its own: price ≤ 75% of intrinsic value (owner earnings per share, 10 years at the company's own growth held to -5%…10%, then 3% forever, discounted at 10%).

Sector-Specific Adaptations

The Graham model on AlphaStocks is not the Graham Number. It checks the seven criteria Graham set for the defensive investor in chapter 14 of The Intelligent Investor, computed as written: adequate size (annual sales ≥ $100M); strong financial condition (current ratio ≥ 2 and long-term debt ≤ net current assets); positive earnings every year (10 years); uninterrupted dividends (20 years); per-share earnings growth over ten years (≥ +33.3% (3-year averages, ten years apart)); moderate p/e on 3-year average earnings (≤ 15); moderate price to book value (P/B ≤ 1.5 or P/E × P/B ≤ 22.5). The score is the share passed out of the criteria that can be evaluated.

Graham himself made two sector exceptions, and the model makes only those:

ProfileTreatment
GeneralAll seven criteria, as written
BankCriterion 2 (working capital) not applicable: ch. 14 sets no working-capital test for financial enterprises; the other six are evaluated.
InsurerCriterion 2 (working capital) not applicable: ch. 14 sets no working-capital test for financial enterprises; the other six are evaluated.
Asset managerCriterion 2 (working capital) not applicable: ch. 14 sets no working-capital test for financial enterprises; the other six are evaluated.
Holding companyCriterion 2 (working capital) not applicable: ch. 14 sets no working-capital test for financial enterprises; the other six are evaluated.
UtilityCriterion 2 uses Graham's utility test: debt ≤ 2 × book equity.
REITCriterion 2 (working capital) not applicable: ch. 14 sets no working-capital test for financial enterprises; the other six are evaluated.

Graham Number = √(22.5 × 3-year average EPS × book value per share): the price at which criterion 7's P/E × P/B = 22.5 binds. Undefined unless both are positive. Shown on the model card; it is not the site's fair value.

How AlphaStocks Computes Fair Value Today

One fair value per stock, from one method chosen by sector profile. The market price is never an input: no blending toward it, no hiding a value that disagrees with it. Each value comes with its method and a low–base–high range, and is withheld only when the method's inputs are invalid, with the reason shown. The fair value is displayed; it is not an input to the composite score.

For an ordinary company the method is: Owner earnings per share (net income + D&A − capex, 3-year average) grown for 5 years at the company's 5-year revenue growth (0 to 13.95%), faded over 5 years to 3%, discounted at the Damodaran industry cost of equity, with a terminal value at the stable-growth cost of equity (8.41%). Banks, insurers and holding companies use a justified price-to-book, utilities and asset managers a justified P/E, and REITs FFO times their property group's P/FFO. Every method and parameter, with its source and date, is on the methodology page.

Role in the Composite Score

The Graham model carries 45% of the Value axis in the general profile, and the Value axis carries 10%of the composite — plus it sets the Timing axis (15%), which is the lower of Value and Momentum.

It is deliberately weighted alongside two other valuation approaches — Lynch PEG analysis (25%) and Greenblatt Magic Formula (30%) — so that no single valuation method dominates. Only the Value models that apply to a company are averaged. A stock that appears cheap by Graham's standards but expensive by earnings yield and PEG will receive a moderate Value score, not a high one.

Limitations

The Graham Number requires positive EPS and positive BVPS. For companies with negative earnings or negative book value (some high-growth tech firms, for example), the formula cannot produce a meaningful result, and AlphaStocks shows no Graham Number. In the Graham criteria, a P/E or P/B over negative earnings or book is undefined, and undefined counts as a fail — never as a cheap reading.

Book value itself can be misleading. Companies with large intangible assets (brand value, intellectual property, customer relationships) often have book values that significantly understate their economic worth. Conversely, companies carrying legacy assets at inflated book values may appear cheaper than they are.

These are not flaws in Graham's logic — they are limitations of any formula that relies on reported financial data. The most effective use of the Graham Number is as one data point within a broader analytical framework.

Frequently Asked Questions

What is the Graham Number formula?

The Graham Number = sqrt(22.5 x EPS x BVPS), where EPS is earnings per share and BVPS is book value per share. The 22.5 constant comes from Graham's criteria of a maximum P/E of 15 and a maximum P/B of 1.5 (15 x 1.5 = 22.5).

How does AlphaStocks adapt Graham's formula for different sectors?

It does not change the formula. The Graham model applies the seven criteria from chapter 14 of The Intelligent Investor as written, with the two exceptions Graham made himself: financial enterprises (banks, insurers, asset managers, holding companies, and REITs with them) have no working-capital test, and public utilities are judged on debt against book equity instead. The Graham Number is shown for reference; the site's fair value comes from one Damodaran valuation method per sector profile.

What is the margin of safety in Graham investing?

The margin of safety is the difference between a stock's intrinsic value and its market price. Graham (The Intelligent Investor, chapter 20) recommended buying only when the price is well below a conservative estimate of value, so that errors in the estimate or bad luck do not turn into a loss.

How accurate is the Graham Number for modern stocks?

The classic Graham Number works best for asset-heavy, profitable companies. It can undervalue asset-light technology firms and overvalue companies with inflated book values. That is why AlphaStocks does not use it as the fair value: the Graham model scores Graham's seven criteria, and the fair value on each stock page comes from one Damodaran method chosen by sector profile.

Related Guides

This article is for educational purposes only. AlphaStocks provides algorithm-generated research tools, not personalized investment advice. Fair value estimates are mathematical calculations based on historical financial data, not predictions of future stock prices. Past performance does not guarantee future results. Always conduct your own due diligence and consult a qualified financial adviser before making investment decisions. Data sourced from SEC EDGAR filings.

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