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Intermediate4 min readValuing Stocks · 10/11

The Graham Formula for Estimating a Share's Value

The Graham growth formula is one of the best-known quick valuation formulas: one line with earnings per share and growth. Its simplicity makes it popular, but its fixed numbers were set for another market and another era, and you need to know that before using it. Graham also left a different measure, the Graham Number, and that is the one FoudaLens uses.

What you will learn

  • Calculate the formula in its original and revised forms.
  • See why its fixed numbers may not fit a market with high yields.
  • Tell it apart from the Graham Number that FoudaLens calculates.
The lesson as a short video · 24 seconds · Watch on YouTube
In this lesson

The Graham growth formula

Benjamin Graham, one of the best-known writers on fundamental analysis, presented a simplified formula to illustrate the link between EPS, expected growth and valuation, now known as the Graham growth formula: value = EPS × (8.5 + 2 × expected growth rate). He warned against relying on growth forecasts and against treating the result as a certain value or a buying rule. We explain it here because it is a well-known formula tied to his name, and we show its limits. The 8.5 was, for him, a fair P/E for a company with no growth, and 2 × growth raises that multiple as growth increases. Growth is written as a number, so 5% is written 5.

A common revised form adds a 4.4 ÷ Y factor, where Y is the yield on high-grade (AAA) corporate bonds. The 4.4 was the yield at the time and place the formula was written, and sources differ on when this revision was added.

A worked example

An invented company has EPS of EGP 2.00, with profits expected to grow 5% a year.

Original formEPS × (8.5 + 2g)2 × (8.5 + 2 × 5) = 2 × 18.537.00
Revised, Y = 4.4%37 × 4.4 ÷ 4.437.00
Revised, teaching assumption: Y = 22%37 × 4.4 ÷ 22 = 37 × 0.27.40
Invented company: EPS 2, expected growth 5% a year
Same company: 37 in the original form, 7.40 when the yield is 22%.

In the original form: 2 × (8.5 + 10) = 37. If the current yield is 4.4%, as when the formula was written, nothing changes. But assume a 22% yield and the factor becomes 4.4 ÷ 22 = 0.2, giving 37 × 0.2 = only 7.40.

The Graham Number

The Graham Number is different from the growth formula: Graham Number = the square root of (22.5 × EPS × book value per share). The 22.5 comes from two limits Graham used: a P/E no higher than 15 and a price-to-book no higher than 1.5, and 15 × 1.5 = 22.5. It has no growth and no bond yield, and it only works when both EPS and book value are positive.

ExampleThe same invented company with EPS of 2.00, and book value per share of 12.00: √(22.5 × 2 × 12) = √540 ≈ 23.24. This is the number FoudaLens calculates as one of its fair value methods, not the growth formula.

Why be careful?

Fixed numbers like 8.5 and 4.4, and even the 22.5 in the Graham Number, were set for another market in another era, with different yields and inflation. Where yields are high, the revised form gives very small numbers, while the original form ignores yields entirely. Neither has been adjusted to Egyptian market conditions.

Watch outBoth formulas are quick screens for comparison, not a full valuation. It ignores the company's debt and the quality of its profits, and a high growth input quickly produces a big value. Like any estimate, its result is not a price target.

If you use it, use it to compare companies under the same assumptions, not to produce one number and believe it.

Get the EPS

The formula starts from EPS. Open any stock page, take its EPS, and try the formula with several growth rates.

Check yourself

1. EPS EGP 3, expected growth 4%. What does the original form give?

3 × (8.5 + 8) = 3 × 16.5 = 49.50.

2. Why does the revised form give a very small number when yields are high?

The larger the yield in the denominator, the smaller the result.

3. EPS EGP 1, book value per share EGP 10. What is the Graham Number?

√(22.5 × 1 × 10) = √225 = 15.

Summary

  • Graham growth formula: EPS × (8.5 + 2 × growth).
  • The revised form multiplies by 4.4 and divides by the current bond yield.
  • Graham Number = √(22.5 × EPS × book value per share), the one FoudaLens uses. Both are comparison screens, not valuations.

Related terms

Related lessons

Educational content only, not investment advice. Companies and figures in the examples are invented for illustration.