How to Value a Bank: P/BV, P/TBV and the Dividend Discount Model Explained
8 min read
If an interviewer asks you to value a bank and you reach for EV/EBITDA or an unlevered DCF, the conversation is basically over. Banks need their own toolkit, and it comes down to three things: Price to Book Value (P/BV), Price to Tangible Book Value (P/TBV) and the Dividend Discount Model (DDM).
This post walks you through all three with worked numbers, shows how they connect to each other, and gives you the answers to the bank valuation questions that come up again and again in FIG interviews.
Why the Usual Valuation Playbook Breaks for Banks
For a normal company, debt is a financing choice. For a bank, debt (deposits, borrowings) is the raw material of the business. A bank borrows money cheaply and lends it out at a higher rate. That spread is its product.
That one fact breaks most of what you learned for industrial companies:
- Enterprise Value doesn't make sense. You can't "net out" debt when debt is the core of operations.
- EBITDA is meaningless. Interest expense is the bank's biggest operating cost, like cost of goods sold for a retailer. Stripping it out tells you nothing.
- Unlevered free cash flow is nearly impossible to define. Changes in loans and deposits are operating flows, so the usual "cash flow before financing" split falls apart.
- Regulation caps what equity holders can take out. A bank must hold a minimum level of capital against its risk-weighted assets. Profit it needs to keep for that is not truly available to shareholders.
So for banks, you value equity directly, using equity metrics (book value, net income, dividends) and discounting at the cost of equity. That's where P/BV, P/TBV and the DDM come in.
Method 1: Price to Book Value (P/BV)
What It Is
P/BV compares the market value of a bank's equity to the accounting value of that equity:
P/BV = Market Capitalization ÷ Book Value of Common Equity
(Or per share: share price ÷ book value per share.)
Why does book value matter so much for banks when it barely matters for, say, a software company? Because a bank's balance sheet is mostly financial assets carried close to their economic value: loans, securities, cash. Book equity is a reasonable starting estimate of what the business is actually worth, and it also drives regulatory capital.
The Formula That Makes P/BV Click: Linking It to ROE
Here's the part that separates strong candidates from everyone else. A bank's P/BV is driven by how its return on equity (ROE) compares to its cost of equity (COE).
Start from the Gordon Growth Model and a bit of algebra, and you get the justified P/BV:
P/BV = (ROE − g) ÷ (COE − g)
Where g is the long-term growth rate. Let's try it:
- ROE = 12%
- Cost of equity = 10%
- Growth = 4%
P/BV = (12% − 4%) ÷ (10% − 4%) = 8% ÷ 6% = 1.33x
The intuition is clean:
- ROE above COE: the bank creates value on every dollar of equity, so it should trade above book.
- ROE equal to COE: it trades around 1.0x book.
- ROE below COE: it destroys value, so it trades below book.
If you remember one thing from this post, make it this: for banks, P/BV is really a verdict on ROE versus cost of equity. When you run a comps table, plot P/BV against ROE. Banks that look "expensive" on P/BV usually earn high returns, and that's often justified.
Method 2: Price to Tangible Book Value (P/TBV)
What It Is
Tangible book value strips out the stuff on the balance sheet you can't touch:
Tangible Book Value = Common Equity − Goodwill − Other Intangible Assets
P/TBV = Market Capitalization ÷ Tangible Book Value
Note that you use common equity, so preferred stock gets excluded from the numerator and denominator alike when it sits inside total equity.
Why Bankers Love P/TBV
Three reasons:
- Acquisitions inflate book value. When Bank A buys Bank B at a premium, the excess lands as goodwill. Two otherwise identical banks can show very different book values just because one grew by acquisition. P/TBV puts them on equal footing.
- Regulators largely ignore goodwill too. Goodwill and most intangibles are deducted when calculating Common Equity Tier 1 (CET1) capital, the key regulatory measure. Tangible equity is much closer to the capital that actually absorbs losses.
- It's the standard metric in bank M&A. Deal discussions constantly reference the price paid as a multiple of tangible book and how long it takes to "earn back" tangible book value dilution.
Worked Example: P/BV vs. P/TBV
Say a bank has:
- Market cap: $15.0bn
- Book value of common equity: $12.0bn
- Goodwill and intangibles: $3.0bn
- Net income to common: $1.35bn
Then:
- Tangible book value = $12.0bn − $3.0bn = $9.0bn
- P/BV = $15.0 ÷ $12.0 = 1.25x
- P/TBV = $15.0 ÷ $9.0 = 1.67x
- ROE = $1.35 ÷ $12.0 = 11.25%
- ROTCE (return on tangible common equity) = $1.35 ÷ $9.0 = 15.0%
(In practice analysts often add back after-tax amortization of intangibles when computing ROTCE, but the logic is the same.)
Notice the pairing: P/BV goes with ROE, P/TBV goes with ROTCE. The justified multiple formula works for both. Just swap in ROTCE when you're working with tangible book.
Method 3: The Dividend Discount Model (DDM)
Why a DDM Instead of a DCF?
For a bank, the cash that equity holders can actually receive is whatever the bank can distribute after holding enough capital to satisfy regulators and support growth. Dividends (and buybacks) are the cleanest measure of that. So the DDM is the bank version of a DCF.
One important nuance: a good bank DDM doesn't just project the dividends management plans to pay. It projects the dividends the bank could pay, based on excess capital. That's sometimes called a capital-constrained DDM.
How to Build It, Step by Step
- Project the balance sheet, especially loans, which drive risk-weighted assets (RWA).
- Project net income (net interest income, fees, expenses, credit losses, taxes).
- Set a target capital ratio, for example a CET1 ratio of 11% of RWA.
- Calculate required capital each year: target ratio × RWA.
- Dividendable capital = starting capital + net income − required ending capital.
- Calculate a terminal value, either with Gordon Growth or an exit P/TBV multiple.
- Discount everything at the cost of equity. No WACC here.
Worked Example: A 3-Year Bank DDM
Assumptions (in $bn):
- Starting CET1 capital: 6.00 (to keep things simple, assume this equals tangible common equity)
- Starting RWA: 50.0, growing 5% a year for 3 years
- Target CET1 ratio: 11%
- Net income: 0.90, 0.95, 1.00 in years 1 to 3
- Cost of equity: 10%, terminal growth: 4%
Right away, note the bank starts with excess capital: 11% × 50.0 = 5.50 required, versus 6.00 held. That 0.50 of excess can be released.
| Year 1 | Year 2 | Year 3 | |
|---|---|---|---|
| RWA | 52.50 | 55.13 | 57.88 |
| Required CET1 (11%) | 5.78 | 6.06 | 6.37 |
| Starting CET1 | 6.00 | 5.78 | 6.06 |
| + Net income | 0.90 | 0.95 | 1.00 |
| Dividendable capital | 1.13 | 0.66 | 0.70 |
Year 1 looks big because it includes the release of the starting excess capital. After that, dividends equal net income minus the capital needed to fund RWA growth.
Terminal value. In Year 4, assume net income grows 4% to 1.04 and RWA also grows 4% to 60.20. Required capital rises to 6.62, an increase of about 0.25. So the Year 4 dividend is 1.04 − 0.25 = 0.79.
TV at end of Year 3 = 0.785 ÷ (10% − 4%) = 13.09
Discounting at 10%:
- Year 1: 1.125 ÷ 1.10 = 1.02
- Year 2: 0.661 ÷ 1.21 = 0.55
- Year 3: 0.697 ÷ 1.331 = 0.52
- Terminal value: 13.09 ÷ 1.331 = 9.83
Equity value ≈ $11.9bn, or about 2.0x today's tangible book of $6.0bn.
Sanity Check With the Justified Multiple
Here's where it all ties together. In Year 4, the bank earns 1.04 on about 6.37 of starting equity, a return of roughly 16.3%. Plug that into the justified formula:
P/TBV = (16.3% − 4%) ÷ (10% − 4%) ≈ 2.05x
And the terminal value we calculated (13.09) divided by Year 3 ending equity (6.37) is also about 2.05x. Same answer, two routes. That's not a coincidence: a Gordon Growth DDM and the justified P/TBV formula are the same math. Mention this in an interview and you'll stand out.
Two things to flag from the example:
- The terminal value is over 80% of total value. That's typical, so your terminal assumptions (ROE, growth, COE) matter enormously.
- The target capital ratio is a real lever. Raise it from 11% to 12% and dividendable capital drops, so value drops. Regulation directly affects valuation.
How the Three Methods Fit Together
Think of them as one framework seen from different angles:
- P/BV is the quick market check, best when the bank has little goodwill.
- P/TBV is the cleaner multiple, especially for acquisitive banks and M&A work.
- DDM is the intrinsic valuation, and its terminal value is effectively a justified P/TBV.
All three hinge on the same relationship: returns on equity versus the cost of equity, plus growth. You'll often see P/E used as well, and that's fine, but P/E alone ignores how much capital the bank needs to generate those earnings.
Bank Valuation Interview Questions You Should Nail
"Why don't you use EV/EBITDA for banks?" Because debt is part of operations, not financing. Interest expense is an operating cost, so EBITDA and Enterprise Value lose their meaning. You value equity directly.
"Why do you use a DDM instead of a DCF?" Unlevered free cash flow can't be cleanly defined for a bank, and regulatory capital limits what shareholders can receive. Dividends (or dividend capacity) are the best measure of cash flow to equity.
"A bank trades at 0.8x book. What does that tell you?" The market likely expects its ROE to stay below its cost of equity, or it doubts the book value itself, for example due to expected loan losses.
"When would you use P/TBV instead of P/BV?" When goodwill and intangibles are meaningful, usually after acquisitions. P/TBV is also closer to how regulators view capital and is standard in bank M&A.
"What drives a bank's P/BV?" ROE relative to cost of equity, and growth. Walk through (ROE − g) ÷ (COE − g) with numbers.
"What discount rate do you use in a bank DDM?" The cost of equity, since you're valuing equity cash flows directly.
The Bottom Line
Bank valuation feels foreign at first, but it rests on one idea: a bank is worth more than its book value only if it earns more than its cost of equity. P/BV and P/TBV express that idea as a multiple, and the DDM expresses it as cash flows constrained by regulatory capital.
Practice the justified P/BV formula until you can do it in your head, build one simple capital-constrained DDM yourself, and you'll be ready for whatever a FIG interviewer throws at you.