Mastering Mason Graham Number: A Value Investor's Comprehensive Guide
The mason graham number is a valuation threshold derived from Benjamin Graham's original intrinsic value formula and adapted by later practitioners to reflect how modern businesses differ from the net-asset-heavy companies Graham analyzed in the 1930s through 1960s. The core idea is the same: compute a ceiling price for a stock based on earnings and book value, then refuse to pay above it without a specific reason grounded in superior quality. The modifications center on how to handle asset-light businesses, growth companies, and the different role that intangible assets play in today's balance sheets.
This guide covers the formula, its assumptions, its limits, and how to apply it systematically using real data.
Key Takeaways
- The original Graham Number formula is: square root of (22.5 times EPS times Book Value Per Share). The 22.5 cap comes from Graham's combined P/E limit of 15 and P/B limit of 1.5, whose product is 22.5.
- The mason graham number typically adjusts the 22.5 multiplier or the book value inputs to account for intangible-heavy businesses where Graham's original denominator understates real asset value.
- No formula tells you what to buy. A stock trading below the graham number is not automatically a good investment; a deteriorating business cheap on book value can destroy capital for years.
- Apple (AAPL) trades well above any version of the graham number at its current P/E of 28.3, and yet Munger and Buffett held it as their largest position because return on capital, not asset value, is the correct measure for a franchise business.
- Berkshire Hathaway (BRK.B) trades near a P/B of 1.5 and P/E of 9.8, which puts it close to or inside the Graham Number range, making it one of the rare large-cap businesses where Graham-style analysis still applies cleanly.
- Use the mason graham number as a floor for deeply cyclical and asset-heavy industries. Use DCF analysis for asset-light compounders.
The Original Graham Number Formula
Benjamin Graham described his valuation approach across multiple editions of "The Intelligent Investor" and "Security Analysis." The formula most commonly attributed to him as the "Graham Number" appears in "The Intelligent Investor" Chapter 14, where he specifies 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 formula that falls out of those constraints is:
Graham Number = square root of (22.5 x EPS x Book Value Per Share)
If a company earns $4.00 per share and has $20.00 in book value per share, the calculation is:
square root of (22.5 x 4.00 x 20.00) = square root of (1,800) = approximately $42.43
A stock trading at $35 would be inside the safety margin. A stock trading at $60 would not.
The formula is simple by design. Graham knew that investors would not do complex calculations consistently, so he built a threshold that could be computed quickly and applied rigorously.
What the Mason Graham Number Changes
The "mason graham number" label is used by practitioners who have modified the original formula to address its most obvious limitation: Graham designed it for companies with meaningful tangible assets. A manufacturer, a bank, or a retailer with substantial physical assets has book value that is economically real. A software company, a pharmaceutical company, or a consumer brand may have book value that drastically understates the business's real asset base because internally generated intangibles do not appear on the balance sheet.
The most common modification is to adjust book value to include a portion of intangible value, typically calculated as a multiple of annual R&D investment or brand advertising spend that has productive economic life. A company that spends $2 billion per year on R&D and has done so for a decade has built an intangible asset base that standard accounting writes off immediately. Capitalizing that spend at a reasonable amortization rate changes the book value used in the formula.
A second modification adjusts the 22.5 multiplier based on the interest rate environment. Graham developed the 22.5 cap when long-term bond yields were meaningfully positive. At lower interest rates, the implied required return that Graham embedded in the 22.5 limit no longer corresponds to a reasonable hurdle rate relative to alternatives.
| Version | Formula | Best Used For |
|---|---|---|
| Original Graham Number | sqrt(22.5 x EPS x BVPS) | Asset-heavy: banks, manufacturers, retailers |
| Mason Graham (intangible-adjusted) | sqrt(22.5 x EPS x Adjusted BVPS) | Mixed: pharma, tech with hard assets |
| Rate-adjusted Graham Number | sqrt(Multiplier x EPS x BVPS) where multiplier = (1/required return) | Interest-rate-sensitive environments |
| Graham Number with normalized earnings | sqrt(22.5 x Normalized EPS x BVPS) | Cyclical industries: energy, steel, chemicals |
The right version depends on the business type and macroeconomic context. Applying the original formula mechanically to software companies produces numbers so low that no software business would ever qualify, which tells you the formula has left its domain of validity, not that software businesses are all overpriced.
When the Formula Works and When It Does Not
The graham number works best for businesses that meet three conditions: tangible assets represent most of the competitive advantage, earnings are reasonably stable across the business cycle, and the accounting is conservative rather than aggressive.
Community banks pass this test. A regional bank with $15 in book value per share and $1.20 in normalized earnings produces a Graham Number of approximately $20.12. A stock trading at $16 offers meaningful margin of safety. The assets are mostly loans and securities; the accounting for loan losses, though judgment-dependent, is audited and regulated; and the earnings are relatively stable outside of credit crisis periods.
The formula fails for companies where the accounting understates the competitive position. Johnson & Johnson (JNJ) at a P/E of 15.4 and yield of 3.1% would appear to be inside Graham's criteria on the earnings side, but its book value is small relative to the economic value of its pharmaceutical patents, consumer brand portfolio, and medical device relationships. A strict graham number calculation would suggest JNJ is overpriced when it is in fact reasonably priced for what the business actually is.
Microsoft (MSFT) at a P/E of 32.1 and ROIC of 35.2% fails the original graham number decisively. Every dollar retained by Microsoft earns far more than book value implies. The formula treats retained earnings as worth face value. The market's multiple says those earnings are worth 32x because the reinvestment opportunities are so productive.
Howard Graham Buffett and the Buffett Family Context
Howard Graham Buffett is Warren Buffett's son, named after Benjamin Graham, who was Warren Buffett's mentor at Columbia Business School and at Graham-Newman Corporation. Howard Graham Buffett has focused his career primarily on agricultural and humanitarian work, not on investment management. He serves as a trustee of the Buffett Foundation and has written about global food security and smallholder farming.
The name connection between Howard Graham Buffett and Benjamin Graham is intentional. Warren Buffett named his son as a tribute to the man who taught him to think about stocks as ownership stakes in real businesses rather than ticker symbols to be traded.
Applying the Mason Graham Number to Real Stocks
Take four contrasting examples from the current market and apply the framework:
Berkshire Hathaway (BRK.B): P/E of 9.8, P/B of 1.5. The product of these two ratios is 14.7, well inside Graham's 22.5 limit. BRK.B clears the original graham number test comfortably. The complexity is that Berkshire's book value understates the float-adjusted value of its insurance operations, so even the conservative Graham Number implies a business trading at a discount to the most conservative estimate of intrinsic value.
Johnson & Johnson (JNJ): P/E of 15.4, yield of 3.1%. The P/E is inside Graham's 15x limit. The P/B depends on year-end book value, which fluctuates with accounting adjustments, but JNJ typically trades above 6x book. That puts the combined ratio at 92, far above 22.5. JNJ does not pass the original formula but passes on the earnings side alone.
Coca-Cola (KO): P/E of 23.7, yield of 3.0%. KO trades above both the P/E and P/B thresholds Graham set. The mason graham number, with intangible-adjusted book value that incorporates the Coca-Cola brand's economic value, produces a much higher threshold that KO can plausibly clear.
Apple (AAPL): P/E of 28.3, ROIC of 45.1%. No version of the graham number works for AAPL. The correct framework is a ROIC-adjusted DCF that asks whether a 45% return on incremental invested capital can be sustained at the current reinvestment rate. The graham number is the wrong tool.
Using the Graham Number Alongside ValueMarkers Tools
The VMCI Score at ValueMarkers weighs Value at 35% of the total score. Within that pillar, P/E relative to the market and P/B relative to sector peers contribute meaningfully. A stock trading inside the Graham Number on both criteria would score well on the Value pillar.
The Quality pillar at 30% covers ROIC, gross margin stability, and return on equity, which is where the mason graham number's modifications become practically relevant. A business with intangibles that support 30% ROE but low book value will score well on Quality but poorly on the Value sub-components that depend on book value.
The combination is the right framework: use the graham number to ensure you are not overpaying on an asset basis for commodity-type businesses, and use the Quality pillar to find the businesses where paying a modest premium above the graham number is rational because the returns on capital are durable.
Our guru tracker shows the positions of investors who have built their records applying Graham-style discipline alongside quality filters, which provides a concrete look at how the two frameworks coexist in actual portfolios.
The Margin of Safety Principle Behind Every Graham Formula
Every formula Graham wrote was subordinate to one principle: the margin of safety. Buying at a discount to computed intrinsic value is the protection against error, against fraud, against bad luck, and against the inevitable mistakes of the analyst running the numbers.
The graham number is not the intrinsic value. It is the maximum price at which you have a meaningful margin of safety. A stock trading at 80% of the graham number has a 20% buffer. A stock trading at 50% has a 50% buffer. Graham thought a 33% discount to intrinsic value was the right minimum threshold for a defensive investor. Munger compressed this into his preferred framing: buy wonderful businesses at fair prices, because the quality of the business itself is the margin of safety when you have paid a fair price for a genuinely superior franchise.
The two views are not contradictory. They describe different parts of the opportunity set. Graham's formula finds the quantitative bargains. Munger's quality filter finds the qualitative ones. The best investments, the ones with both a quantitative discount and a qualitative moat, are rare and worth waiting for.
Further reading: SEC EDGAR · Investopedia
Why graham number formula Matters
This section anchors the discussion on graham number formula. The detailed treatment, formula, and worked examples appear in the body of this article above. The points below summarize the most important takeaways for value investors who want to apply graham number formula in real portfolio decisions. ValueMarkers exposes the underlying data on every covered ticker via the screener and stock profile pages, so the concepts in this article translate directly into actionable filters.
Key inputs for graham number formula
See the main discussion of graham number formula in the sections above for the full treatment, including the inputs, the calculation methodology, the typical sector benchmarks, and the most common pitfalls to avoid. The ValueMarkers screener lets value investors filter the full universe of 100,000+ stocks across 73 exchanges using graham number formula alongside the rest of the 120-indicator composite, with sector percentiles and historical trends shown on every stock profile.
Sector benchmarks for graham number formula
See the main discussion of graham number formula in the sections above for the full treatment, including the inputs, the calculation methodology, the typical sector benchmarks, and the most common pitfalls to avoid. The ValueMarkers screener lets value investors filter the full universe of 100,000+ stocks across 73 exchanges using graham number formula alongside the rest of the 120-indicator composite, with sector percentiles and historical trends shown on every stock profile.
Related ValueMarkers Resources
- Pe Ratio — Glossary entry for Pe Ratio
- Roe — Glossary entry for Roe
- DCF Intrinsic Value — DCF captures how cheaply a stock trades relative to its fundamentals
- Benjamin Graham Value Investing Formula — related ValueMarkers analysis
- Benjamin Graham Stock Valuation Formula — related ValueMarkers analysis
- Deep Value Stock Screener — related ValueMarkers analysis
Frequently Asked Questions
howard graham buffett net worth
Howard Graham Buffett's net worth is not publicly disclosed in the same way as his father's. Warren Buffett has pledged more than 99% of his wealth to charity, primarily to the Bill and Melinda Gates Foundation and the Buffett Family Foundation, where Howard serves as a trustee. Howard's own foundation, the Howard G. Buffett Foundation, focuses on agricultural development and conflict resolution and has committed billions to those causes. His personal net worth is distinct from the foundation assets.
howard graham buffett education
Howard Graham Buffett attended the University of Arizona but left without completing his degree. He later returned to earn a degree, and subsequently received several honorary degrees. He has described his education as predominantly practical, gained through decades of work in agriculture across more than 40 countries. He taught at the University of Illinois and the Buffett Institute has published his research on food security and agricultural economics.
when to exit a value investment benjamin graham
Graham's framework suggests exiting a value investment when the stock reaches its computed intrinsic value, typically when the price has risen to the level where the margin of safety has been consumed. He also suggested selling after two or three years if the anticipated price appreciation had not materialized, on the logic that capital tied up waiting for a catalyst has an opportunity cost. Graham was not a permanent holder; Munger and Buffett modified this by holding wonderful businesses indefinitely if the quality remained intact.
is value investing from graham to buffett worth it
"Value Investing: From Graham to Buffett and Beyond," written by Bruce Greenwald, Judd Kahn, Paul Sonkin, and Michael van Biema, is one of the clearest textbook treatments of how Graham's framework evolved into the broader quality-conscious value investing practice Buffett and Munger developed. It is worth reading for anyone who wants a structured account of the methodology. The book covers asset valuation, earnings power value, and franchise value as a three-tier framework for assessing any business, which is a practical expansion of the original graham number concept.
is benjamin graham the father of value investing
Yes, Benjamin Graham is universally recognized as the father of value investing. He developed the theoretical and practical framework for analyzing securities as ownership stakes in real businesses rather than speculative instruments in the 1920s and 1930s. His two major books, "Security Analysis" (1934, co-authored with David Dodd) and "The Intelligent Investor" (1949), established the foundational principles that all subsequent value investors have built on, including Warren Buffett, Charlie Munger, Seth Klarman, and Walter Schloss.
What is mason graham number?
The mason graham number is a practitioner adaptation of Benjamin Graham's original Graham Number formula, square root of (22.5 times EPS times Book Value Per Share), modified to account for asset-light businesses with significant intangible assets, different interest rate environments, or cyclical earnings that make a single-year EPS figure unrepresentative. The modifications typically involve adjusting the book value input to include capitalized intangibles or adjusting the 22.5 multiplier to reflect current required return rates. Use our guru tracker to see how Graham-inspired investors apply these frameworks to their current holdings.
Written by Javier Sanz, Founder of ValueMarkers. Last updated April 2026.
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