Valuing Financial Firms, Part 5: Putting It All Together

You have everything you need. Now let’s use it.

Four posts ago, we said that valuing a financial firm requires different tools than valuing an ordinary business. We’ve spent four posts building those tools. Now it’s time to put them down on the workbench, side by side, and use all of them at once.

This post walks through a complete valuation of First River Bank — the fictional regional bank we’ve been tracking through this series. We’ll start from scratch, work through every step, and end with an intrinsic value per share and a margin of safety.

If you’ve been following along, this should feel like a payoff.

The Complete Toolkit

Here’s what we’ve built across this series:

Part 1 — What FCFE is and why the standard free cash flow formula breaks for banks. For a bank, the right measure is Free Cash Flow to Equity — what’s left for shareholders after net income funds the regulatory capital needed to support growth.

Part 2 — How to project FCFE forward using ROE and the retention ratio as the engine of growth. How to discount each year’s cash flow back to today. How to calculate a terminal value for all the years beyond the projection. And how to combine everything into intrinsic value per share.

Part 3 — Why insurance companies need a different starting point: normalized net income. Catastrophe years can destroy years of earnings in a single quarter. You can’t value an insurer on last year’s income if last year was a hurricane year. You average across good years and bad to find what the business earns in a normal year.

Part 4 — Where the discount rate comes from. For a financial firm, we use the Cost of Equity, not WACC. WACC doesn’t work because deposits and policy reserves aren’t financial leverage — they’re the raw material of the business. Cost of Equity comes from the CAPM formula: the risk-free rate plus beta times the equity risk premium.

Today we use all four tools together.

First River Bank — The Inputs

Let’s revisit First River Bank and nail down every input before we run a single number.

First River Bank is a regional commercial bank. It lends to individuals and businesses, takes in deposits, and earns its income on the spread between what it earns on loans and what it pays depositors. It has been operating for 35 years and has navigated two full credit cycles.

Here are the financial facts we’re working with:

From these basics, we derive the growth inputs:

ROE = Net Income ÷ Book Equity
    = $500M ÷ $5,000M
    = 10%

Payout Ratio = Dividends Paid ÷ Net Income
             = $200M ÷ $500M
             = 40%

Retention Ratio = 1 − Payout Ratio
               = 1 − 40%
               = 60%

Growth Rate = ROE × Retention Ratio
           = 10% × 60%
           = 6.0%

First River Bank earns 10 cents on every dollar of equity it holds, retains 60% of earnings to fund growth, and is expected to grow at 6% per year through the high-growth phase.

Step 1 — Estimate the Discount Rate

Before we project any cash flows, we need the discount rate. For First River Bank, that means the Cost of Equity.

We use the CAPM formula — the Capital Asset Pricing Model — which says:

Cost of Equity = Risk-Free Rate + Beta × Equity Risk Premium

Three inputs:

The risk-free rate is the yield on the 10-year US Treasury note — the closest thing to a guaranteed return in finance. That rate is currently 4.25%.

Beta measures how much this stock moves relative to the overall stock market. We use the industry beta rather than the company’s own historical beta, because a single company’s trailing beta is noisy — one credit event or capital raise can distort it for years. Professor Damodaran at NYU publishes industry betas annually, averaging across all firms in each sector to smooth out the noise. For regional banks, the industry beta runs in the range of 0.7–1.0. First River Bank is a well-run, conservatively managed bank with steady earnings through cycles. We use 0.70.

The equity risk premium (ERP) is the extra return investors demand for owning stocks instead of Treasuries. We use the implied ERP from Damodaran’s monthly estimates: currently 4.72%.

Cost of Equity = 4.25% + (0.70 × 4.72%)
              = 4.25% + 3.30%
              = 7.55%  (we'll use 7.6%)

First River Bank’s shareholders require a 7.6% annual return. Every dollar of future FCFE will be discounted back to today at that rate.

Step 2 — Project Five Years of FCFE

With the growth rate and discount rate in hand, we project FCFE for the next five years.

The engine: net income grows at 6% each year. The bank retains 60% to fund that growth — specifically, to grow its equity base to support a growing loan book without violating its regulatory capital minimums. The remaining 40% flows to shareholders as FCFE.

| Year | Net Income | FCFE (40% payout) |
|——|————|——————-|
| 1 | $530.0M | $212.0M |
| 2 | $561.8M | $224.7M |
| 3 | $595.5M | $238.2M |
| 4 | $631.2M | $252.5M |
| 5 | $669.1M | $267.6M |

Each year’s net income is last year’s multiplied by 1.06. FCFE is 40% of net income — the slice that, in a well-run bank at its minimum reinvestment level, belongs to shareholders.

Step 3 — Discount the Five-Year FCFEs

Now we convert each year’s FCFE into today’s money. A dollar arriving three years from now is worth less than a dollar today — because today’s dollar can be invested, and because the future is uncertain. We discount each future dollar by dividing it by the cost of equity raised to the power of how many years away it is.

| Year | FCFE | Discount Factor | Present Value |
|——|——|—————-|—————|
| 1 | $212.0M | ÷ 1.076¹ | $197.0M |
| 2 | $224.7M | ÷ 1.076² | $194.2M |
| 3 | $238.2M | ÷ 1.076³ | $191.5M |
| 4 | $252.5M | ÷ 1.076⁴ | $188.8M |
| 5 | $267.6M | ÷ 1.076⁵ | $186.2M |

Total present value of 5-year FCFEs: $957.7 million

Step 4 — Calculate the Terminal Value

First River Bank won’t stop operating in year five. It will keep earning, growing, and paying out cash to shareholders for decades — ideally long after Luca and Lili are managing money of their own.

We can’t project every year individually. Instead, we capture the value of everything beyond year five in a single number called the terminal value.

The terminal value assumes the bank settles into a stable, slower-growth phase. In the stable phase, two things happen. First, the bank’s growth rate slows to the long-run rate of the overall economy — approximately equal to the risk-free rate, 4.25%. Second, the bank’s ROE gradually converges toward its cost of equity. This reflects competitive pressure: over the very long run, it becomes harder to earn significantly more than your cost of capital, because competitors chase returns above that level.

With stable-phase ROE converging toward Cost of Equity (call it 9.0%, slightly above the 7.6% cost of equity to reflect First River’s durable franchise):

Stable Reinvestment Rate = Terminal Growth Rate ÷ Stable ROE
                        = 4.25% ÷ 9.0%
                        ≈ 47%

Terminal FCFE = Year 5 FCFE × (1 + Terminal Growth Rate)
             = $267.6M × 1.0425
             = $278.9M

Stable FCFE = Terminal FCFE × (1 − Stable Reinvestment Rate)
           = $278.9M × (1 − 0.47)
           = $278.9M × 0.53
           = $147.8M

Now apply the Gordon Growth Model — a formula that captures the value of a stream of cash flows growing at a constant rate forever:

Terminal Value = Stable FCFE ÷ (Stable Cost of Equity − Terminal Growth Rate)

In the stable phase, we also adjust the cost of equity slightly, using a stable beta that has converged toward 1.0. For First River Bank, where the beta started at 0.70, the stable beta is 1.0:

Stable Cost of Equity = 4.25% + (1.0 × 4.72%)
                     = 4.25% + 4.72%
                     = 8.97%  (call it 9.0%)

Terminal Value = $147.8M ÷ (9.0% − 4.25%)
              = $147.8M ÷ 4.75%
              = $3,111M

Discount that terminal value back five years to get its present value today:

Terminal Value PV = $3,111M ÷ 1.076⁵
                 = $2,165M

Step 5 — Combine and Calculate Intrinsic Value

Now we add everything together.

Equity Value = PV of 5-Year FCFEs + PV of Terminal Value
            = $957.7M + $2,165M
            = $3,122.7M

Divide by shares outstanding:

Intrinsic Value per Share = $3,122.7M ÷ 200M shares
                         = $15.61 per share

First River Bank’s intrinsic value is approximately $15.61 per share.

Step 6 — Compute the Margin of Safety

First River Bank is trading at $15.50 per share.

Margin of Safety = Intrinsic Value − Market Price
               = $15.61 − $15.50
               = $0.11 per share

Margin of Safety (%) = 1 − ($15.50 ÷ $15.61)
                    ≈ 0.7%

A margin of safety of less than 1% is essentially no margin at all. The stock is priced at almost exactly what the model says it’s worth.

What does this tell us? First River Bank is fairly valued — not cheap, not expensive. There is no meaningful cushion between the market price and our estimate of intrinsic value. If we’re right about the growth rate and cost of equity, we’d expect to earn approximately the cost of equity (7.6%) as our return by owning the stock at this price. That’s adequate — but it’s not the kind of bargain that invites a large position.

To buy with a margin of safety, we’d want to see the stock closer to $12–$13 — roughly a 20% discount to intrinsic value. At that price, a modest error in the model wouldn’t cost us.

What Changes the Answer — And By How Much

The model gives you a number. But the number is only as reliable as its inputs. Here is how sensitive First River Bank’s intrinsic value is to the key assumptions.

Growth Rate Sensitivity

| Growth Rate Assumption | Intrinsic Value |
|————————|—————–|
| 5% (conservative) | ~$13.20 |
| 6% (base case) | ~$15.61 |
| 7% (optimistic) | ~$18.40 |

A 1-percentage-point change in the growth rate moves the intrinsic value by roughly $2–$3 per share. Growth rate is the most powerful variable after the discount rate.

Discount Rate Sensitivity

| Cost of Equity | Intrinsic Value |
|—————-|—————–|
| 7.0% | ~$17.80 |
| 7.6% (base case) | ~$15.61 |
| 8.5% | ~$13.20 |

A 1-percentage-point change in the cost of equity moves intrinsic value by $2–$4 per share. This is what Part 4 was warning you about: the discount rate is the most powerful lever in the model.

The honest conclusion: First River Bank is worth somewhere between $12 and $18, depending on which set of assumptions you trust. The model doesn’t give you a precise answer — it gives you a range. At $15.50, the stock sits in the middle of that range. It isn’t obviously cheap or obviously expensive.

That kind of conclusion is not a failure of the model. It is an honest result.

Insurance Companies — What Changes in the Capstone

If First River Bank were an insurance company instead, one step would be different: Step 1 of building FCFE.

Instead of using last year’s net income as our starting point, we’d normalize it first — averaging across multiple years, excluding the catastrophe-year losses that don’t reflect underlying earning power. We covered this in Part 3. The rest of the model runs identically: project forward using ROE and retention ratio, discount at cost of equity, add terminal value.

The distinction matters. An insurer that had a $500 million catastrophe loss last year might look like a money-loser if you just plug in the most recent annual net income. But if its normalized earnings across the last eight years average $300 million per year, that’s the real starting point.

Same tools. Same model. Different starting line.

What You’ve Learned Across This Series

Five posts ago, you learned that financial firms need a different approach. Here’s what you can now do.

You can explain why FCFE is the right cash flow measure for banks and insurers — because debt is raw material for these businesses, not financial leverage, and the standard FCFF formula produces a meaningless number.

You can build the growth engine for a bank — using ROE and the retention ratio to derive a sustainable growth rate rooted in how much the bank earns and how much it reinvests.

You can normalize insurance earnings — stripping out catastrophe-year distortions to find the baseline that represents what the business earns in an average year.

You can estimate a discount rate for a financial firm — using the CAPM formula with an industry beta rather than a noisy company-specific beta, anchored to the current risk-free rate and implied equity risk premium.

And you can build a complete DCF from those inputs — a five-year projection, a terminal value, a present value, and a margin of safety.

That is a complete valuation toolkit for a significant slice of the market. Banks represent roughly 15% of the S&P 500 by weight when you include financials broadly. Insurers, asset managers, and specialty finance firms add more. You can now approach any of them with a rigorous framework.

A Note to Luca and Lili

Here is what I want you to take away from this series — not the formulas, but the idea underneath them.

Every valuation is a question about the future disguised as a math problem.

When you ask “what is First River Bank worth?”, you are really asking: how much cash will this business generate for its owners over the next fifty years, and what is that cash worth in today’s dollars? The formulas are just a way of organizing your answer. They force you to be specific about your assumptions instead of vague.

But the assumptions are yours. The model is a container. You fill it.

A good investor isn’t someone who uses the most sophisticated formulas. A good investor is someone who thinks carefully about whether the assumptions inside the model are realistic — and who is honest when they’re not sure.

The margin of safety is the expression of that honesty. It says: I think this is worth $15.61, but I’m not certain enough to pay $15.61. If I can buy it for $12, I have enough cushion to be approximately right and still do well. If I can’t, I wait.

Patience and honesty are not just virtues. In investing, they are competitive advantages.

— Papa

The One-Sentence Summary

To value a financial firm, normalize the earnings if needed (especially for insurers), derive a growth rate from ROE and the retention ratio, estimate cost of equity using the CAPM formula with an industry beta, discount five years of projected FCFE plus a terminal value back to today, divide by shares outstanding, and compare to the market price — the gap between your number and the market’s number is the margin of safety.

The Financial Firms series continues. To revisit the foundations, visit the Valuing Financial Firms series page.

← Part 4: Risk and the Discount Rate | Part 6: A Real Company, By the Numbers — coming soon →

— Jim