Graham Number - Definition, Formula & Calculator

Author:Will ShawWill Shaw
Reviewed by:Charlie TianCharlie Tian
Fact checked by:Vera YuanVera Yuan
Updated March 19, 2026

What Is Graham Number?

The Graham Number is a conservative estimate of a stock’s fair value based on two fundamental inputs: earnings per share and tangible book value per share. It is designed to represent the maximum price a defensive investor should pay for a stock under a classic Benjamin Graham-style framework. In simple terms, it combines a company’s earning power with its balance-sheet backing into a single per-share valuation figure.

The idea behind the metric is straightforward. A stock should not be valued only on earnings, because profits can fluctuate or be overstated. It also should not be valued only on book value, because assets alone do not tell you whether the business can generate acceptable returns. The Graham Number tries to balance both considerations by linking profitability and asset value in one formula.

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At GuruFocus, the Graham Number is presented as a per-share value derived from EPS without NRI and Tangible Book per Share. Investors often compare the current stock price with the Graham Number to judge whether a stock appears conservatively priced or richly valued. A related ratio, Price-to-Graham-Number, shows how far above or below that benchmark the market price currently sits.

The formula most commonly used is:

Graham Number=22.5×EPS×Book Value Per Share\text{Graham Number} = \sqrt{22.5 \times \text{EPS} \times \text{Book Value Per Share}}

The constant 22.5 comes from multiplying a price-to-earnings ratio of 15 by a price-to-book ratio of 1.5, which reflects valuation limits Graham discussed for defensive investors in The Intelligent Investor.^1

Key Takeaways
  • Graham Number is a conservative fair value estimate based on earnings per share and tangible book value per share.
  • It is intended to approximate the highest price a defensive investor should pay under a Graham-style valuation approach.
  • The standard formula is the square root of 22.5 multiplied by EPS and book value per share.
  • GuruFocus calculates the metric using EPS without NRI and Tangible Book per Share.
  • The metric is most useful for mature, profitable, asset-backed businesses and less useful for fast-growing or asset-light companies.
  • Investors often pair it with the Price-to-Graham-Number ratio to compare market price with this conservative valuation benchmark.

How Is Graham Number Calculated?

The Graham Number is calculated by multiplying earnings per share by book value per share, multiplying that result by 22.5, and then taking the square root.

The classic form is:

Graham Number=22.5×EPS×Book Value Per Share\text{Graham Number} = \sqrt{22.5 \times \text{EPS} \times \text{Book Value Per Share}}

GuruFocus uses a more specific version of the formula:

Graham Number=22.5×EPS without NRI×Tangible Book per Share\text{Graham Number} = \sqrt{22.5 \times \text{EPS without NRI} \times \text{Tangible Book per Share}}

This matters because the GuruFocus version makes two practical adjustments:

  • EPS without NRI removes non-recurring items from earnings, which can make the earnings input more representative of ongoing business performance.
  • Tangible Book per Share excludes goodwill and other intangible assets, making the asset input more conservative.

For quarterly calculations, GuruFocus typically uses trailing 12-month earnings:

Quarterly Graham Number=22.5×EPS without NRI (TTM)×Tangible Book per Share\text{Quarterly Graham Number} = \sqrt{22.5 \times \text{EPS without NRI (TTM)} \times \text{Tangible Book per Share}}

The intuition behind the formula comes from Graham’s valuation guidelines for defensive investors. In The Intelligent Investor, Graham suggested that a stock’s price should generally not exceed 15 times average earnings and should not exceed 1.5 times book value. He also noted that the product of the earnings multiple and the price-to-book multiple should not exceed 22.5.^1 Rearranging that rule into a per-share valuation formula leads to the modern Graham Number.

A few practical points are important:

  • If earnings per share are negative, the formula does not produce a meaningful positive valuation.
  • If tangible book value per share is negative, the metric also breaks down.
  • Because the formula uses book value, it tends to work better for companies where balance-sheet assets remain economically relevant.

Graham Number Trend Over Time

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Looking at the Graham Number over time can be more informative than looking at a single snapshot. A rising Graham Number usually reflects improvement in one or both of its core drivers: earnings power and tangible book value per share. A falling Graham Number may indicate weaker profitability, declining asset backing, or both.

Trend analysis is especially useful when paired with stock price. If the Graham Number is rising steadily while the stock price remains flat, the stock may be becoming more attractively valued on a conservative basis. If the stock price rises much faster than the Graham Number, the market may be assigning a richer valuation than Graham’s framework would justify.

What Does Graham Number Tell You?

The Graham Number tells you what a stock might be worth under a strict, balance-sheet-aware value investing framework. It is not a forecast of future price performance. Instead, it is a conservative valuation ceiling based on current fundamentals.

Investors typically interpret it in one of two ways:

  1. Compare the stock price directly to the Graham Number. If the stock price is below the Graham Number, the stock may appear undervalued under this framework. If the stock price is above it, the stock may appear expensive relative to Graham’s conservative standards.
  2. Use the Price-to-Graham-Number ratio. This ratio is calculated as:
Price-to-Graham-Number=Share PriceGraham Number\text{Price-to-Graham-Number} = \frac{\text{Share Price}}{\text{Graham Number}}

A ratio below 1.0 suggests the stock is trading below its Graham Number. A ratio above 1.0 suggests it is trading above that benchmark.

The metric is best thought of as a defensive investor’s filter, not a complete valuation model. It can help identify stocks that combine profitability with tangible balance-sheet support. That makes it particularly appealing to traditional value investors looking for a margin of safety.

At the same time, a low price relative to the Graham Number does not automatically mean a stock is a bargain. The market may be discounting deteriorating fundamentals, cyclical risk, weak capital allocation, or poor future growth prospects. Likewise, a stock trading well above its Graham Number is not necessarily overvalued in an absolute sense; it may simply be a business whose growth, brand strength, or intangible assets are not captured well by the formula.

Limitations of Graham Number

Like any valuation shortcut, the Graham Number has important limitations.

First, it does not account for growth. A company with strong and durable earnings growth may deserve a valuation well above what the Graham Number suggests. This is one reason the metric often understates the value of high-quality compounders and fast-growing businesses.

Second, it can penalize temporarily depressed earnings. If a company has a weak year because of a cyclical downturn, restructuring, or short-term margin pressure, the Graham Number may fall sharply even if normalized earnings power remains intact. Some investors address this by using multi-year average earnings rather than a single-year figure, though that introduces judgment.

Third, it tends to undervalue asset-light businesses. Companies in software, payments, media, or branded consumer categories often generate strong economics with relatively little tangible book value. Because the formula relies on tangible book value per share, it can make these businesses look less valuable than they really are.

Fourth, it is not usable when earnings or tangible book value are negative. In those cases, the formula either breaks down or produces a result that is not economically meaningful.

Fifth, the metric depends on accounting book values, which may not reflect economic reality. Tangible book value can be highly informative for banks, insurers, manufacturers, or other asset-backed businesses, but much less informative for firms whose real value comes from intellectual property, network effects, software, or brand equity.

For these reasons, Graham Number should usually be used alongside other valuation tools such as discounted cash flow analysis, earnings-based multiples, return on capital metrics, and peer comparisons.

Real-World Example

A useful way to understand Graham Number is to compare a traditional asset-backed business with a more asset-light one.

Consider a mature industrial or financial company with positive earnings and meaningful tangible book value. In that case, the Graham Number can serve as a reasonable conservative valuation checkpoint because both inputs in the formula carry real economic meaning. If earnings are stable and the balance sheet is solid, the metric can help investors estimate whether the stock is trading at a price that leaves room for a margin of safety.

Now compare that with a company like Mastercard (MA). Mastercard is highly profitable, but much of its value comes from its network, brand, and technology rather than tangible assets. Because tangible book value is relatively small compared with the company’s earning power, the Graham Number can significantly understate what the market is willing to pay for the business. That does not mean the stock is necessarily overvalued; it means the formula is not capturing the economics of the business very well.

By contrast, a company like Wells Fargo (WFC) or another balance-sheet-heavy financial institution may fit the framework better, because book value remains a more central part of how investors assess the business.

That is why Graham Number works best as a screening tool for conservative value investing, especially among mature, profitable, asset-backed companies. It is less effective as a universal valuation method across all sectors.

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FAQs

What is a good Graham Number?

  • There is no standalone “good” Graham Number because the figure itself is a per-share valuation estimate, not a performance ratio. What matters is how the current stock price compares with it. In general, a stock trading below its Graham Number may attract value investors, while one trading far above it may look expensive under a conservative Graham-style framework.

What is the difference between Graham Number and related metrics?

  • Graham Number is a fair value estimate based on earnings and tangible book value per share.
  • Price-to-Graham-Number compares the market price with that estimate.
  • Price-to-Book looks only at book value.
  • P/E ratio looks only at earnings.
  • DCF-based intrinsic value estimates value from future cash flows and growth assumptions.
    Graham Number is simpler and more conservative than most intrinsic value models.

Can Graham Number be negative?

  • In practice, no meaningful Graham Number exists when EPS or tangible book value per share is negative. Because the formula takes a square root, negative inputs make the result unusable for valuation purposes.

How should investors use Graham Number?

  • Investors should use it as a conservative screening and cross-check tool, not as a complete valuation model. It is most useful for mature, profitable companies with meaningful tangible book value. It should be combined with trend analysis, peer comparisons, business quality assessment, and forward-looking valuation methods.
Related Terms
  • GF Value - GuruFocus's proprietary estimate of a stock's intrinsic value, based on historical multiples, past returns, and future business estimates.
  • Graham Number - A formula-derived ceiling price for a stock based on its earnings per share and book value, developed by Benjamin Graham.
  • Peter Lynch Fair Value - A fair value estimate based on Peter Lynch's rule that a fairly priced stock has a P/E ratio equal to its earnings growth rate.
  • Earnings Power Value (EPV) - A conservative valuation assuming zero growth, estimating what a company is worth based solely on its current normalized earnings.
  • Beta - A measure of a stock's price volatility relative to the broader market, where a value above 1 indicates higher sensitivity to market moves.

Summary

The Graham Number is one of the classic tools of conservative value investing. By combining earnings per share with tangible book value per share, it offers a simple way to estimate what a defensive investor might reasonably pay for a stock.

Its strength is its discipline. The metric forces investors to consider both profitability and balance-sheet support, and it can be especially useful when screening mature, asset-backed businesses for potential undervaluation.

Its weakness is that it is intentionally conservative and backward-looking. It does not capture growth well, it struggles with asset-light businesses, and it becomes unusable when earnings or tangible book value are negative. For that reason, Graham Number is best used as one input in a broader valuation process rather than as a standalone buy-or-sell signal.

Sources

  1. Benjamin Graham, The Intelligent Investor, revised edition. Harper Business. Discussion of defensive investor valuation guidelines and the 15x earnings / 1.5x book value framework. https://www.harpercollins.com/products/the-intelligent-investor-benjamin-graham-jasonzweig
  2. Investopedia, “Graham Number: Definition, Formula, Example, and Limitations.” https://www.investopedia.com/terms/g/graham-number.asp
  3. Old School Value, “Benjamin Graham Formula / Graham Number.” https://www.oldschoolvalue.com/stock-valuation/graham-number/
  4. The Balance, “What Is the Graham Number?” https://www.thebalancemoney.com/what-is-the-graham-number-357538
  5. GuruFocus, company summary pages and metric methodology for EPS without NRI and Tangible Book per Share. https://www.gurufocus.com/