Corporate Finance & Valuation Relative Valuation & Trading Multiples Book value per share from GAAP shareholders' equity

Price-to-Book (P/B) Ratio Calculator

Price-to-book compares what the market will pay for a share against what the accounts say the share owns. It is the standard valuation multiple for banks, insurers and anything else whose assets are carried close to their realisable value, and it survives where earnings multiples fail — a loss-making year does not stop a company having a balance sheet. Enter total shareholders' equity, any preferred stock, goodwill and intangibles, the diluted share count and the price, and this calculator returns book value per share, tangible book value per share, and both the P/B and P/TBV multiples.

Calculator

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Inputs this calculator takes, with typical values
InputWhat to enterExample
Total shareholders' equityThe bottom line of the equity section of the balance sheet, including preferred stock if any.12000 $
Preferred equityCarrying value of preferred stock, which ranks ahead of common and must come out of book value.500 $
Goodwill and other intangiblesGoodwill plus acquired intangibles from the asset side of the balance sheet; used only for the tangible figures.2800 $
Diluted shares outstandingShare count in the same millions scale as the dollar inputs; use period-end diluted shares, not the weighted average.420 M
Share priceThe current market price of one common share.68 $

It returns

  • Price-to-book ratio — Share price divided by book value per share.
  • Book value per share
  • Tangible book value per share
  • Price to tangible book
  • Common shareholders' equity
  • Market capitalisation
  • Market premium over book value — Market capitalisation minus common equity. Negative when the shares trade below book.

The formula

BVPS=EEprefN,PB=PBVPS
TBVPS=EEprefGN
P/Bjustified=ROEgrg

In plain text: BVPS = (Total equity − Preferred equity) ÷ Diluted shares; P/B = Price ÷ BVPS

  • ETotal shareholders' equity from the balance sheet ($)
  • E_prefCarrying value of preferred stock ($)
  • NDiluted common shares outstanding (shares)
  • PMarket price per common share ($)

Tangible book value per share subtracts goodwill and other intangible assets from common equity before dividing by shares.

Updated Category Relative Valuation & Trading Multiples Verified against published test cases Reading time 9 min

What price-to-book actually compares

Book value per share is the accounting net worth attributable to one common share: everything the company owns, less everything it owes, less any claim that ranks ahead of common stock. Price-to-book puts the market's number over the accountant's number. A P/B of 2.0 says investors will pay two dollars for each dollar of net assets on the books.

The multiple is at its most useful where the book number is close to a real number. A bank's balance sheet is mostly loans and securities carried at amortised cost or fair value, and its equity is a regulated, audited quantity that the market genuinely trades around. At the other extreme, a software company's most valuable assets — its code, its customer relationships, its brand — were expensed as they were created and appear nowhere on the balance sheet, so its book value is close to meaningless and its P/B will be high for reasons that have nothing to do with being expensive.

That is the discipline the multiple demands: P/B compares price against an accounting convention, and you have to know how well that convention describes the business before the ratio means anything.

Building book value per share correctly

Start with total shareholders' equity. Subtract preferred stock at its carrying value, because preferred shareholders have a claim that ranks ahead of common and their capital is not yours. What remains is common equity. Divide by diluted shares outstanding and you have book value per share.

Use period-end diluted shares, not the weighted average from the EPS note. Book value is a stock measured at a point in time, so pairing it with an average share count over a period mixes two different dates. The distinction matters most for companies that have been buying back stock heavily, which is exactly the population where P/B gets quoted.

Tangible book value goes one step further and removes goodwill and acquired intangibles. Goodwill is the premium paid over the fair value of net assets in an acquisition; under US GAAP it is not amortised but is tested for impairment, so it can sit unchanged on a balance sheet for a decade and then vanish in one charge. Removing it answers a different question: what is the net worth of the assets that would still be there if the acquisitions had never happened? Bank analysts almost always work in tangible terms for this reason, and regulatory capital is defined that way too.

The theoretically grounded version of the multiple links it back to profitability: justified P/B = (ROE − g) ÷ (r − g), where r is the cost of equity and g the sustainable growth rate. Read that identity carefully and it says the whole thing. A company earning exactly its cost of equity is worth exactly book value, whatever its growth rate, because setting ROE = r makes the numerator and denominator equal. A company earning more than its cost of equity is worth a premium; one earning less is worth a discount. P/B is really a statement about return on equity wearing a valuation costume.

Worked example: a $12bn-equity company at $68 a share

The defaults describe a mid-sized financial group, all dollar figures in millions: total shareholders' equity $12,000, preferred stock $500, goodwill and intangibles $2,800, 420 million diluted shares and a share price of $68.

  1. Common equity. 12,000 − 500 = $11,500M.
  2. Book value per share. 11,500 ÷ 420 = $27.3810.
  3. Tangible common equity. 11,500 − 2,800 = $8,700M.
  4. Tangible book value per share. 8,700 ÷ 420 = $20.7143.
  5. P/B. 68 ÷ 27.3810 = 2.4835×.
  6. P/TBV. 68 ÷ 20.7143 = 3.2828×.
  7. Market capitalisation and premium. 68 × 420 = $28,560M of market value against $11,500M of common equity, a premium of $17,060M.

The gap between 2.48× and 3.28× is entirely the goodwill. Goodwill is 2,800 ÷ 11,500 = 24.3% of common equity, and removing it raises the multiple by 3.2828 ÷ 2.4835 − 1 = 32.2% — which is 1 ÷ (1 − 0.243) − 1, the arithmetic of shrinking a denominator. Whenever someone quotes a bank on "1.4× book", ask which book they mean, because the two figures for the same company can differ by a third.

How to read the multiple

Compare P/B against ROE, not against other companies' P/B. The justified-P/B identity says the two move together. A company on 2.5× book earning a 20% ROE against a 10% cost of equity is not obviously expensive; a company on 1.2× book earning 6% against the same cost of equity is not obviously cheap. Plotting a peer group's P/B against its ROE and looking for the outliers is far more informative than ranking on P/B alone.

Below 1.0× means the market disagrees with the balance sheet, the returns, or both. It can be an opportunity, and it is more often a signal that assets are carried above what they will realise or that ROE will stay below the cost of equity. Take the discount as a question rather than an answer, and look at the composition of assets before concluding anything.

Very high multiples usually indicate the balance sheet is not where the value is. For a company whose competitive advantage is intangible and internally generated, a P/B of 15× tells you almost nothing except that the accounting model does not fit. Use an earnings or cash-flow multiple such as the PEG ratio instead.

Watch buybacks. Repurchasing stock above book value reduces book value per share, which mechanically raises P/B without any change in the business. A steadily rising P/B at a company with a large buyback programme may be arithmetic, not re-rating.

Justified price-to-book from ROE and cost of equity

Each cell is (ROE − g) ÷ (r − g) with sustainable growth g held at 3%. This is the P/B a company deserves in a constant-growth residual income model, so it is a benchmark to compare an observed multiple against.
Return on equityr = 8%r = 9%r = 10%r = 11%r = 12%
6%0.600.500.430.380.33
8%1.000.830.710.630.56
10%1.401.171.000.880.78
12%1.801.501.291.131.00
15%2.402.001.711.501.33
20%3.402.832.432.131.89

The diagonal where ROE equals r is exactly 1.00 in every column: a company earning precisely its cost of equity is worth precisely its book value, and growth changes nothing about that.

Mistakes that break a P/B comparison

  • Leaving preferred stock in the numerator of book value. Preferred capital does not belong to common shareholders. Including it overstates BVPS and understates P/B.
  • Using weighted average shares. Book value is a point-in-time figure and needs a point-in-time share count. The weighted average belongs in EPS, not here.
  • Comparing a goodwill-heavy company with an organically grown one on stated book. The acquirer's equity includes purchase premium the organic grower never had to record. Compare on tangible book or not at all.
  • Forgetting that accumulated other comprehensive income swings book value. Unrealised losses on securities portfolios can move a bank's equity sharply without any change in earnings.
  • Reading a sub-1.0 multiple as automatically cheap. It is a statement that the market expects ROE below the cost of equity, which is frequently correct.
  • Applying P/B to a business with no meaningful book value. Software, pharmaceuticals and consumer brands expense the spending that creates their real assets. The ratio is arithmetically fine and economically empty.

Where P/B fits among the other multiples

Price-to-book is the balance-sheet member of a family. The P/E and PEG price the income statement, EV/EBITDA prices the whole enterprise before financing, and price-to-sales prices the top line for companies with no profit yet. P/B is the one that keeps working when earnings are negative, which is why it dominates in banking, insurance, shipping and real estate — sectors where a loss-making year is a cyclical event rather than a failure.

The natural companion measure is return on equity, since the justified-P/B identity makes the two inseparable, and the DuPont decomposition tells you whether that ROE comes from margin, asset turnover or leverage. If it comes mostly from leverage, a high P/B is a thinner cushion than it looks. For the value-creation version of the same question in dollars rather than multiples, see economic value added, which asks whether returns exceed the cost of capital directly instead of inferring it from a price.

One caution about tangible book in particular: it is the right measure for asking what would be left in a wind-up, and the wrong measure for asking what a going concern is worth. An acquisition that genuinely created value produces goodwill, and removing that goodwill does not remove the value it represents. Use both figures and know which question each answers.

Key terms

Book value
Total assets less total liabilities, as carried in the financial statements. For common shareholders, less any preferred claim.
Tangible common equity
Common equity with goodwill and other intangible assets removed. The base for most bank capital comparisons.
Justified P/B
(ROE − g) ÷ (r − g). The multiple a constant-growth company deserves given its return on equity, growth and cost of equity.

Frequently asked questions

What is a good price-to-book ratio?

There is no universal figure, because the right multiple depends on return on equity relative to the cost of equity. The useful test is the justified-P/B identity: a company earning its cost of equity deserves 1.0×, and every point of ROE above that pushes the deserved multiple up. Compare an observed P/B against that benchmark rather than against a rule of thumb.

Why do banks get valued on price-to-book rather than P/E?

Because a bank's balance sheet is its business and its assets are carried close to fair value, so book value is a meaningful number. Bank earnings are also volatile through the credit cycle — provisions can swing a bank from profit to loss in a quarter — while book value moves far more slowly. Regulators define capital in book terms too, so it is the language the whole sector already speaks.

What is the difference between book value and tangible book value?

Tangible book value removes goodwill and acquired intangibles from common equity. Goodwill arises only from acquisitions, so an acquisitive company's stated book value contains premium paid to previous owners that an organically grown competitor never recorded. Tangible book puts the two on the same footing.

Can price-to-book be negative?

Book value per share can be negative — accumulated losses or debt-funded buybacks will do it — but the resulting ratio is meaningless, so this calculator reports no multiple when common equity is not positive. A negative P/B would make a company look cheaper the worse its balance sheet got.

Should I use diluted or basic shares?

Use diluted, and use the period-end count rather than the weighted average. Diluted reflects the claims that options and convertibles will have on the same equity. Period-end matches book value's point-in-time nature.

Why does my P/B differ from the one on a financial website?

Usually the share count or the equity definition. Data providers differ on whether they use period-end or average shares, whether they deduct preferred stock, and which balance-sheet date they pair with today's price. Rebuilding it yourself from the last filed balance sheet is the only way to know what you have.

Does a buyback raise or lower book value per share?

It lowers book value per share whenever the shares are repurchased above book value, because more equity leaves the company than share count would justify. Below book value it raises BVPS. Since most buybacks happen above book, the usual effect is a mechanically higher P/B with no change in the underlying business.

How does price-to-book relate to return on equity?

Directly: justified P/B = (ROE − g) ÷ (r − g). Setting ROE equal to the cost of equity r makes the expression exactly 1.0 for any growth rate, so a company that earns precisely its cost of equity is worth precisely its book value. Every point of ROE above the cost of equity raises the deserved multiple, and growth amplifies the effect in both directions.

References