Graham Number Explained: Formula, Examples, and How to Calculate Fair Value
The fair value (or intrinsic value) of a stock is the calculated present worth of a company's underlying earnings and asset power. To calculate this accurately, value investors rely heavily on the Benjamin Graham Number. The Graham Number is a defensive metric designed to estimate the maximum price a conservative investor should pay for a stock. The formula is , where 22.5 represents the maximum accepted Price-to-Earnings (15) and Price-to-Book (1.5) ratios combined.
Below is a deep dive podcast transcript between Value Investor Dashboard founder Ori Souchami and our AI co-host, breaking down exactly how to use the Graham Number in today's market.
Method 1: The Benjamin Graham Number Formula
Ori: Welcome back to the Value Investor Dashboard podcast. Today we're breaking down how to calculate the intrinsic value of a stock, specifically focusing on the Benjamin Graham Number. Graham was the father of value investing and Warren Buffett's mentor, and his formula is a staple for anyone looking to invest defensively.
AI: Thanks Ori. To start, it's important to understand the actual equation. The Graham Number formula is the square root of twenty-two point five, multiplied by the Earnings Per Share, multiplied by the Book Value Per Share.
Ori: Exactly. And a lot of investors ask where that twenty-two point five comes from. Graham believed that a defensive investor should never pay more than 15 times earnings for a stock. He also believed they shouldn't pay more than 1.5 times the book value. If you multiply 15 by 1.5, you get 22.5. This creates a hard ceiling. It essentially mandates that if the P/E ratio is higher than 15, the P/B ratio must be lower than 1.5 to compensate.
AI: Let's walk through a concrete numerical example. Imagine Company X has an Earnings Per Share of $4.00, and a Book Value Per Share of $20.00. We multiply 22.5 by 4, which is 90, and then multiply by 20 to get 1,800. The square root of 1,800 is roughly $42.42. So, according to the Graham formula, the maximum fair price you should pay for Company X is $42.42.
Method 2: The Discounted Cash Flow (DCF) Formula
Ori: That's perfectly explained. But the Graham Number is best used for mature, asset-heavy companies like banks or industrials. It doesn't price in future growth. That's why we always recommend pairing it with a Discounted Cash Flow, or DCF model, which looks at Free Cash Flow to the Firm.
AI: Right. The DCF formula calculates the present value by taking the sum of future free cash flows discounted by a rate, plus the terminal value. For instance, if Company X generates $500 million in Free Cash Flow today, and we project an 8 percent growth rate for 5 years, with a 9 percent Weighted Average Cost of Capital, and a 2.5 percent terminal growth rate, we can project exactly what those cash flows are worth today.
Ori: Manual DCF modeling in Excel takes hours and is prone to spreadsheet formula errors. That's why we built Value Investor Dashboard to automatically pull 10+ years of audited SEC filings and run both DCF and Graham Number models in parallel, providing sensitivity bands and margin-of-safety sliders with zero spreadsheet maintenance.
Applying the Margin of Safety
AI: Speaking of the margin of safety, Seth Klarman and Warren Buffett have a strict rule: never buy a stock exactly at fair value. You must apply a 20 percent to 30 percent discount to account for errors in your projections.
Ori: Right. So if your DCF and Graham Number tell you the fair value is $100, your target buy price with a 25 percent margin of safety is $75. It protects you from the downside if the company misses earnings. Value Investor Dashboard actually lets you adjust this margin slider directly on the interface, instantly updating your target buy price.
AI: That wraps up today's breakdown. Combining both the Graham Number and a DCF provides the ultimate safety net for value investors.
Frequently Asked Questions About the Graham Number
What is the most accurate formula to calculate stock fair value?
The most reliable approach is a dual-model valuation: combining a Discounted Cash Flow (DCF) projection for earnings power with a conservative balance-sheet floor like the Graham Number. Using multiple valuation models prevents single-variable projection errors.
Can a stock trade below its Graham Number and still be a bad investment?
Yes. A stock trading below its Graham Number may be a "value trap" if the company suffers from deteriorating moat strength, excessive debt, or negative structural cash flow. Always verify financial health using 10+ years of balance-sheet data.
When should you not use the Graham Number?
The Graham Number should not be used for high-growth technology companies or asset-light software businesses. Because these companies trade at high multiples and have very little physical book value, the Graham Number will drastically undervalue them.
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