In Part 8, we established that FCFE is the right tool for banks. Now let’s learn exactly how it works.
In Part 8, we handed back the socket wrench and picked up a different tool. We explained why the Free Cash Flow to the Firm model breaks for banks — debt is raw material, not financing; capex and working capital don’t translate; regulators constrain what can be paid out. We said the right measure is Free Cash Flow to Equity, or FCFE — cash available specifically to shareholders, after all obligations are met and all reinvestment requirements are satisfied.
That post answered the “why.” This one answers the “how.”
The FCFE You Already Know
In Part 3 of the Intrinsic Value series, we established that FCFE measures what’s left for shareholders after a company has funded its operations, its investments, and its debt obligations. For a non-financial company — a manufacturer, a retailer, a software firm — the formula looks like this:
FCFE = Net Income + Depreciation − Capital Expenditures − Change in Working Capital + Net Debt Issued
Net income is the starting point — profits after taxes and interest. Depreciation is added back because it’s a non-cash charge that reduced income without taking any cash out of the business. Capital expenditures are subtracted because those are real cash outflows. Changes in working capital capture cash tied up or freed in daily operations. And net debt issued accounts for any new borrowing (or repayment) the company made during the year — if the company borrowed more, that cash is available to equity holders; if it paid debt down, that cash is gone.
This formula is our baseline. And it’s about to break.
Why That Formula Doesn’t Work for a Bank
Let’s look at each piece through a bank’s eyes.
Net income — same as always. That one carries over fine.
Depreciation — a bank has some buildings and computers, but they’re a rounding error. Depreciation is not a meaningful number for a firm whose core assets are loans, not factories.
Capital expenditures — a bank’s “capital expenditures” are the loans it makes. When a bank lends $100 million to a homebuyer, it has deployed capital into a long-lived asset that generates returns over time. That is the bank’s version of building a factory. But plugging loan origination volumes into the “CapEx” line of this formula would make the number meaninglessly large — and it would mix up two completely different things.
Change in working capital — for a manufacturer, working capital is inventory, receivables, and payables: the short-cycle assets and liabilities of running the business. For a bank, the equivalent items are deposits, short-term borrowings, and liquid securities. These are so intertwined with how the bank lends and earns that there’s no clean way to separate “operational” working capital from the rest of the business.
Net debt issued — here’s the big one. For a non-financial company, debt is something layered on top of the business. You can track it separately. For a bank, deposits are the business. They’re not something issued on the side; they’re the raw material that flows through every line of the income statement. “Net debt issued” loses all meaning.
The formula doesn’t return garbage for a bank — it returns a number that looks real but measures something undefined. That’s actually worse than garbage, because you might trust it.
So we need a formula that works from first principles for a bank. Here it is.
The Bank FCFE Formula
FCFE = Net Income − (Required Capital Ratio × Change in Risk-Weighted Assets)
Two terms. Let’s take them apart.
Net Income
This is the bank’s bottom-line profit after all expenses — interest costs on deposits, operating costs, loan losses, and taxes. It’s the same net income you’d find on any income statement. Nothing changes here.
For most banks, this is the real starting point. Where a non-financial firm’s FCFE model starts with EBIAT — earnings before interest, after tax — a bank’s model starts with net income directly, because separating “operating” from “financing” has no meaning. The bank earns its spread across the whole business.
Required Capital Ratio
A capital ratio is the minimum percentage of its assets a bank must hold as equity capital — its own money, not borrowed money — as a cushion against losses.
Regulators — specifically central banks and banking supervisors — set this requirement. The most common version is the Tier 1 capital ratio: the ratio of the bank’s highest-quality capital (common equity and retained earnings) to its risk-adjusted assets. In the United States, regulators generally require banks to maintain at least 6% Tier 1 capital.
Think of it as a safety margin. If a bank lends $100 and the loan goes bad, the loss hits capital first — before depositors are affected. The higher the capital ratio, the more cushion there is. The requirement ensures that banks can absorb losses without failing.
For our purposes, the capital ratio does something specific: it tells us how much of each dollar of new lending the bank must fund with its own equity, not borrowed deposits. That portion cannot be paid out to shareholders. It must be retained.
Change in Risk-Weighted Assets
Risk-weighted assets (RWA) are the bank’s total assets, adjusted for the riskiness of each one.
Not all assets carry the same risk. A government bond is much safer than a construction loan to a startup developer. Regulators assign a risk weight to each category of asset — usually a percentage that reflects the probability of loss. A Treasury bond might carry a 0% risk weight (essentially riskless). A corporate loan might carry 100%. A mortgage might sit somewhere in between.
Risk-weighted assets is the total you get when you multiply every asset by its risk weight and add them up.
Why does this matter for FCFE? Because the capital requirement is applied to risk-weighted assets, not total assets. When a bank grows — when it makes more loans — its risk-weighted assets increase. And as RWA grows, the bank must hold proportionally more capital to maintain its required ratio. That retained capital is the reinvestment. It’s the bank’s equivalent of capex.
Putting the Formula Together
Here is what the formula is saying in plain English:
The cash available to shareholders is what the bank earned — minus the amount it had to retain to maintain its capital cushion as it grew.
The required capital ratio tells us what fraction of new RWA must be funded by equity. The change in RWA tells us how much the bank grew its asset base. The product of the two — the reinvestment — is what the bank must keep. Everything else belongs to shareholders.
FCFE = Net Income − Reinvestment Required
= Net Income − (Required Capital Ratio × Change in Risk-Weighted Assets)
A Worked Example
Let’s use a hypothetical bank we’ll call First River Bank and run through the math.
The facts:
| Item | Amount |
|---|---|
| Net Income | $500 million |
| Required Tier 1 Capital Ratio | 10% |
| Risk-Weighted Assets, last year | $8,000 million |
| Risk-Weighted Assets, this year | $9,000 million |
| Change in Risk-Weighted Assets | $1,000 million |
Step 1: Calculate the reinvestment requirement.
The bank grew its risk-weighted assets by $1,000 million. At a 10% capital ratio, it needs to retain 10% of that growth as new equity capital.
Reinvestment Required = 10% × $1,000M = $100 million
Step 2: Calculate FCFE.
FCFE = Net Income − Reinvestment Required
= $500M − $100M
= $400 million
First River Bank earned $500 million. It needed to retain $100 million to keep its capital ratio intact as it grew. The remaining $400 million is what belongs to shareholders — what the bank could distribute.
Let’s make sure this feels right intuitively. The bank grew its loan book significantly — $1 billion in new risk-weighted assets. That growth is valuable, but it has to be funded. A bank that paid out all $500 million in dividends while growing its assets would be drawing down its capital cushion. That’s exactly what regulators — and prudent management — won’t allow. The $100 million reinvestment is the price of growing safely.
FCFE and Dividends: What’s the Relationship?
FCFE is what the bank could pay out to shareholders if it retained no more than the minimum required by regulators.
Actual dividends may be less.
Here’s why that gap exists — and why it matters.
Banks often choose to hold capital ratios above the regulatory minimum. A bank required to hold 6% Tier 1 capital might target 10% or 12% in practice, as a buffer against downturns. In years when the bank is building that buffer, it will retain more than the formula requires — keeping more than the minimum reinvestment. Dividends fall below FCFE.
Conversely, a well-capitalized bank that chooses to shrink its capital ratio back toward the target — perhaps during a period of slower growth — might pay dividends equal to FCFE for several years running.
The key insight is this: FCFE is the ceiling. It’s the maximum amount the bank could distribute without violating its capital requirement. Actual distributions can be lower, but they cannot sustainably be higher.
When we value a bank, we care about this ceiling. We’re asking: how much cash does this business generate for its owners, if managed at the minimum level of reinvestment the regulator demands? That is the benchmark. The actual dividend policy is a management choice layered on top of it.
In the next post, we’ll take this concept and project it forward — the same way we projected FCFF for Maple Ridge Manufacturing, but for First River Bank instead.
A Note to Luca and Lili
I spent a long time in the early years of learning about investing feeling like banks were a mystery. The first step that I would take when identifying investment candidates was to eliminate all banks, financial service companies, and any real estate companies. It was easier to skip them than to understand them.
Every valuation course I found would explain FCFF in careful detail, and then, when it got to banks, say something like “banks are different — use a dividend discount model” and move on without explaining why.
It bothered me. If the logic is sound, it should be explicable. If I can’t explain it to someone who just walked in off the street, I probably don’t understand it well enough myself.
What clicked for me — and what I hope this post did for you — is realizing that the bank formula isn’t a special exception to the rules. It’s the same rules, applied to a different structure. The core idea hasn’t changed: a business is worth the cash it can generate for its owners. For a bank, the “reinvestment” that keeps the business running safely is regulatory capital. Once you see that clearly, the formula isn’t mysterious anymore. It’s obvious.
That’s what I want for you. Not just the formulas — the understanding behind them. The formulas change. The understanding doesn’t.
— Papa
The One-Sentence Summary
For a bank, Free Cash Flow to Equity is net income minus the capital the bank must retain to maintain its regulatory ratio as its assets grow — and that retained capital is the bank’s equivalent of capital expenditure, the reinvestment required to run the business safely.
Next: Financial Firms, Part 2 — Calculating FCFE for a Bank. We’ll take First River Bank through the full five-year projection: where the growth rate comes from, how to discount FCFE at the cost of equity, and how to add a terminal value to arrive at intrinsic value per share.
— Jim