Graham Number Calculator

Work out Benjamin Graham’s fair value for a stock from its earnings and book value per share, and see the margin of safety against today’s price. Type a ticker to fill in the numbers. The calculator also runs Graham’s P/E and P/B tests and his growth formula. Free, and you can add it to your own website.

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How to use the calculator

  1. Type a ticker and pick the stock. The calculator fills in the price, earnings per share and book value per share, worked out from the stock’s P/E and P/B ratios on Quotelinks.
  2. Or enter EPS, book value per share and the price yourself, for example from a company’s annual report.
  3. Open Graham growth formula to value the stock with an expected growth rate and the current AAA corporate bond yield.

The Graham number

Benjamin Graham, the father of value investing, suggested in The Intelligent Investor that a defensive investor should not pay more than 15 times earnings or 1.5 times book value, and that the product of the two ratios should not exceed 22.5. The Graham number is the highest price that still meets that test:

Graham number = √(22.5 × EPS × book value per share)

Example: a company with EPS of $6 and book value of $30 per share has a Graham number of √(22.5 × 6 × 30) = $63.64. At a share price of $100, it trades well above Graham’s limit.

The Graham growth formula

For growing companies, Graham later proposed a second formula (revised in 1974):

value = EPS × (8.5 + 2g) × 4.4 / Y

Here g is the expected yearly earnings growth in percent over the next 7–10 years, 8.5 is the P/E he thought fair for a company with no growth, 4.4 was the AAA corporate bond yield of his time and Y is today’s AAA yield. With EPS of $6, 5% growth and Y = 4.4, the value is 6 × 18.5 = $111. The calculator fills in the 5-year EPS growth where available; check that it is a sensible long-term rate.

Margin of safety

Graham’s central idea was to buy only when the price is well below the estimated value, leaving room for mistakes. The margin of safety is (value − price) / value: a stock at $45 with a Graham number of $60 has a 25% margin.

Limits

  • Needs profits and positive equity. It can’t value loss-making companies or those with negative book value (often after large buybacks).
  • Penalises asset-light businesses. Software and brand-driven companies have little book value, so they rarely pass, even when they are good investments.
  • A starting point. Use it as a screen alongside debt, earnings stability and dividends, as Graham did. The stock screener filters by P/E and P/B.

For dividend payers, compare the result with the dividend discount model, which values a stock from its dividends instead of earnings and book value.

Frequently asked questions

What is the Graham number?

A fair-value estimate from Benjamin Graham: the square root of 22.5 × earnings per share × book value per share. It is the highest price at which a stock still meets his limits of P/E 15 and P/B 1.5.

Why 22.5?

It is 15 × 1.5: Graham's maximum P/E (15) times his maximum price-to-book ratio (1.5) for a defensive investor.

Where do the EPS and book value come from?

When you look up a ticker, the calculator divides the latest price by the stock's trailing P/E and its price-to-book ratio from Quotelinks data. You can overwrite them with figures from the annual report.

Why is there no result for some stocks?

The formula needs positive earnings and positive book value. Loss-making companies and those with negative shareholder equity can't be valued this way.

What is the Graham growth formula?

Value = EPS × (8.5 + 2g) × 4.4 ÷ Y, where g is expected growth in percent and Y the current AAA corporate bond yield. It suits companies with steady, predictable growth.

Is a stock below its Graham number a buy?

Not by itself. It means the stock is cheap relative to earnings and assets; check debt, earnings history and why it is cheap before investing.

Can I put this calculator on my website?

Yes. It is free for any site. Use the embed code generator at the bottom of this page, copy the code and paste it into your page. Please keep the credit line with the two links under the calculator.

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Add this calculator to your website

The calculator is free to embed on any website, personal or commercial, and works on WordPress, Blogger, Wix, Squarespace, Webflow, Ghost and plain HTML. Choose the options, copy the code and paste it into your page.

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Preview: this is how the calculator and the credit line will look on your page

Free for personal and commercial websites. Please keep the “by Quotelinks” credit line under the calculator visible and unchanged, and don’t modify the calculator or present it as your own. The <script> line is optional: it sizes the frame to fit the calculator; if your platform removes scripts, the calculator still works at the fixed height. A screening rule of thumb, not a price target. For illustration only, not financial advice.