Baseline: $40 share trading at 2.0x book value
A mid-cap industrial reports $2,000,000,000 of common shareholders' equity and 100,000,000 shares outstanding at quarter-end. The stock currently trades at $40.00 per share.
ResultBook Value per Share = 2,000,000,000 / 100,000,000 = $20.00. P/B = 40 / 20 = 2.0x. The market values each dollar of accounting equity at two dollars — a 100% premium to book.
A 2.0x P/B sits in the middle of the historical range for U.S. industrials per Damodaran's industry data archive. Whether it is fair depends on return on equity: P/B is mathematically linked to ROE through the identity P/B = ROE x P/E, so a firm earning 15% ROE deserves a higher P/B than one earning 6%. Use this calculator as the entry point, then cross-check the implied premium against the firm's sustainable ROE and sector benchmarks before drawing a conclusion.