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Graham Number

Benjamin Graham's intrinsic-value heuristic for defensive investors: the geometric mean of 22.5 times trailing EPS and book value per share. Encodes Graham's belief that P/E should not exceed 15 and P/B should not exceed 1.5 simultaneously.

When to use: Use as a quick conservative-valuation screen. Where market price is below the Graham Number, the stock satisfies Graham's defensive-investor multiples. Most useful for stable, established businesses with positive earnings and book value.

Calculator

Formula

GrahamNum=22.5×EPS×BVPS\text{GrahamNum} = \sqrt{22.5 \times \text{EPS} \times \text{BVPS}}

Variables

SymbolNameDescriptionUnit
GrahamNumGraham NumberGraham's intrinsic-value heuristic$
EPSEarnings per ShareTrailing or forward EPS$
BVPSBook Value per ShareEquity ÷ shares outstanding$

Real-Life Examples

Example 1: Mature Industrial

A defensively-positioned industrial has $4 of EPS and $30 of book value per share.

Given

EPS = 4BVPS = 30

Step-by-Step

1.Product = 22.5 × 4 × 30 = 2,700
2.Graham Number = √2,700 = 51.96
Result:51.96

The Graham fair value is $52. Trading below $52 satisfies Graham's twin tests; above $52, at least one of the multiples (P/E > 15 or P/B > 1.5) fails. Useful as a yes/no screen, not a precise valuation.

Frequently Asked Questions

It's Graham's P/E ceiling × P/B ceiling: 15 × 1.5 = 22.5. The formula effectively says "the geometric mean of P/E×EPS×P/B×BVPS at the ceilings is the upper bound of fair value." Squaring and rearranging gives the familiar form.

No — Graham designed this for defensive investors targeting established businesses. Growth companies routinely trade well above the Graham Number because they earn more than 15× P/E and 1.5× P/B can support. Use other frameworks (PEG, DCF) for growth.

The formula breaks (square root of a negative number). Graham's screen explicitly excluded loss-making companies — defensive investors should not be valuing a business with no current earnings using this metric.