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Graham Number Calculator

Calculate the Graham Number for stock valuation based on Earnings Per Share (EPS) and Book Value Per Share (BVPS) to determine maximum fair price and margin of safety.

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What is the Graham Number?

The Graham Number is a conservative stock valuation metric named after Benjamin Graham, the father of value investing and mentor to Warren Buffett. It measures the maximum price an investor should pay for a share of stock based on the company's financial fundamentals: Earnings Per Share (EPS) and Book Value Per Share (BVPS).

Benjamin Graham suggested that defensive value investors should avoid stocks trading at valuation levels above a price-to-earnings (P/E) ratio of 15 and a price-to-book (P/B) ratio of 1.5. Multiplying these two thresholds yields a combined benchmark factor of 22.5.

The Graham Number Formula

The mathematical formula for calculating the Graham Number is:

$$\text{Graham Number} = \sqrt{22.5 \times \text{EPS} \times \text{BVPS}}$$

Where:

  • EPS (Earnings Per Share): The net profit earned by the company per outstanding share over the trailing twelve months.
  • BVPS (Book Value Per Share): The total net asset value (equity) of the company divided by the number of outstanding shares.
  • 22.5: The product of Graham's recommended maximum P/E ratio (15) and maximum P/B ratio (1.5).

Interpreting the Results and Margin of Safety

Comparing a stock's current market price against its calculated Graham Number helps evaluate potential value:

  • Current Price < Graham Number: The stock is trading below its fundamental upper price threshold and may be undervalued according to Graham's defensive criteria.
  • Current Price > Graham Number: The market price exceeds Graham's conservative valuation cap, suggesting the stock might be overvalued or priced at a premium.
  • Margin of Safety: Calculated as $\frac{\text{Graham Number} - \text{Stock Price}}{\text{Graham Number}} \times 100$. A positive percentage indicates a buffer below the fair value ceiling.

Explore other valuation and profitability tools such as our Margin Calculator or analyze investment performance using our ROI Calculator.

Frequently Asked Questions

Why did Benjamin Graham select 22.5 as the multiplier?

Graham believed defensive investors should not pay more than 15 times earnings or 1.5 times book value. Since P/E times P/B equals (Price / EPS) * (Price / BVPS) = Price^2 / (EPS * BVPS), setting Price^2 / (EPS * BVPS) = 15 * 1.5 = 22.5 leads directly to Price = sqrt(22.5 * EPS * BVPS).

Can the Graham Number be used for tech or high-growth stocks?

The Graham Number works best for mature, asset-heavy industrial or manufacturing companies. Technology or asset-light service companies often trade at higher P/E and P/B multiples due to intangible assets and high growth rates that the traditional formula does not capture.

What happens if Earnings Per Share (EPS) or BVPS is negative?

If either EPS or BVPS is negative, the product under the square root is negative, making the formula undefined. The Graham Number is designed exclusively for profitable companies with positive book value.

Is the Graham Number alone sufficient for making investment decisions?

No single metric is sufficient. The Graham Number serves as an initial filter for defensive value candidates. Investors should also evaluate debt levels, competitive advantage, cash flow quality, and management integrity.