In brief
A discounted cash-flow valuation estimates what a business is worth today by forecasting cash that investors could receive in the future and discounting it for time and risk.
There are two common routes:
- Discount free cash flow to the firm (FCFF) at the weighted average cost of capital to estimate enterprise value, then adjust for debt, cash, and other claims to reach equity value.
- Discount free cash flow to equity (FCFE) at the cost of equity to estimate equity value directly.
DCF is logically powerful and extremely sensitive to assumptions. It is best used as a range of conditional scenarios, not as a precise declaration of fair value.
The central idea
A dollar expected next year is worth less than a dollar available today because today’s dollar can be invested and because the future payment is uncertain.
For one future cash flow:
Present value = future cash flow ÷ (1 + discount rate)^years
A DCF adds the present values of many expected cash flows:
Value = Σ [cash flow in year t ÷ (1 + r)^t] + discounted terminal value
The hard part is not the formula. It is constructing cash flows and a discount rate that describe the same claim consistently.
Enterprise value versus equity value
Enterprise value represents the value of operations available to all capital providers. Equity value is the residual belonging to common shareholders after other claims.
A simplified bridge is:
Equity value = enterprise value − debt + excess cash − other senior claims
Real bridges may also consider leases, preferred stock, noncontrolling interests, investments, pensions, and other non-operating assets or liabilities. The adjustment should match how the operating cash flow was defined.
Per-share value then requires a share count. Use a diluted count that reflects economically relevant options, restricted stock, convertibles, and other potential claims rather than relying blindly on basic shares outstanding.
FCFF versus FCFE
| Approach | Cash flow | Discount rate | Direct result |
|---|---|---|---|
| FCFF | Cash available before payments to debt and equity providers | WACC | Enterprise value |
| FCFE | Cash remaining for common equity after debt cash flows | Cost of equity | Equity value |
A common FCFF construction is:
FCFF = EBIT × (1 − tax rate) + depreciation and amortization − capital expenditures − increase in working capital
A common FCFE construction begins with net income, adds noncash charges, subtracts investment in fixed and working capital, and includes net borrowing.
Accounting statements are the starting point, not the finished answer. Stock compensation, acquisitions, restructuring, capitalized costs, cyclical working capital, and maintenance versus growth investment require judgment.
The SEC’s Financial Statement Data Sets and company filings in EDGAR provide traceable primary inputs for U.S. public companies.
Estimating the cost of equity with CAPM
One common estimate is:
Cost of equity = risk-free rate + beta × equity risk premium
The CAPM guide explains each input and the model’s empirical limits. In valuation, consistency matters:
- match the currency of the rate and cash flows;
- keep nominal cash flows with nominal rates;
- use a beta and market premium based on a coherent method; and
- remember that the output is an estimate, not an observable fact.
Cost of debt and WACC
The weighted average cost of capital combines required returns for debt and equity:
WACC = equity weight × cost of equity + debt weight × pre-tax cost of debt × (1 − tax rate)
Weights should generally reflect market values for the capital supporting the operating business. The tax adjustment reflects the modeled value of deductible interest, but actual tax shields can be limited by losses, jurisdiction, or tax rules.
WACC is appropriate for FCFF only when the financing mix and risk are reasonably consistent with the rate. A business whose leverage or operating risk changes materially may require a more detailed approach.
Forecasting cash flow
A useful forecast links operating assumptions rather than extrapolating one percentage:
- Revenue: units, price, customers, or another business driver.
- Operating margin: competition, scale, mix, and cyclicality.
- Taxes: normalized cash tax assumptions.
- Reinvestment: capital expenditure and working capital needed to support growth.
- Free cash flow: the cash left after those operating requirements.
Growth is not automatically valuable. If a company must invest more than the present value of the cash that growth creates, faster expansion can destroy value.
Terminal value
Most businesses are assumed to continue beyond a five- or ten-year explicit forecast. Terminal value represents cash flows after that period.
The perpetual-growth method is:
Terminal value at year n = next year’s cash flow ÷ (discount rate − perpetual growth rate)
The growth rate must be below the discount rate. It should also be economically plausible for a mature company; no business can outgrow the economy forever without eventually becoming the economy.
An exit-multiple method applies a valuation multiple to a final-year operating measure. That method is easier to compare with market transactions but imports the market’s pricing into an allegedly intrinsic valuation. Both methods deserve sensitivity testing.
Completely hypothetical worked example
Assume a fictional company with these FCFF forecasts, in millions:
| Year | FCFF |
|---|---|
| 1 | $100 |
| 2 | $108 |
| 3 | $116 |
| 4 | $123 |
| 5 | $130 |
Additional teaching assumptions:
- WACC: 9%;
- perpetual growth after year 5: 3%;
- debt: $400 million;
- excess cash: $150 million; and
- diluted shares: 100 million.
Year-six cash flow is:
$130 × 1.03 = $133.9 million
Terminal value at the end of year five is:
$133.9 ÷ (9% − 3%) = $2,231.7 million
Discounting the five explicit cash flows and terminal value at 9% produces approximately:
| Component | Present value |
|---|---|
| Years 1–5 FCFF | $443.8 million |
| Terminal value | $1,450.4 million |
| Enterprise value | $1,894.3 million |
| Less debt, plus cash | −$250 million |
| Equity value | $1,644.3 million |
| Value per diluted share | $16.44 |
Values are rounded. This is a fictional teaching model, not a current company valuation or recommendation.
Sensitivity analysis
Using the same cash-flow forecast, the estimated per-share value changes materially:
| Perpetual growth \ WACC | 8% | 9% | 10% |
|---|---|---|---|
| 2% | $17.10 | $14.25 | $12.11 |
| 3% | $20.29 | $16.44 | $13.70 |
| 4% | $25.07 | $19.51 | $15.81 |
These are approximate calculations from the stated fictional assumptions. The table shows why a single DCF output can create false precision. Small changes to distant assumptions can move the result substantially because terminal value often represents a large share of enterprise value.
Historical and cyclical normalization
A valuation should ask where the company stands in its business cycle. One exceptional year can distort margins, working capital, taxes, or capital expenditure.
Review at least one full relevant cycle when the business is cyclical. Reconcile reported figures with filings, and separate:
- recurring operations from asset sales;
- normal capital expenditure from a temporary buildout;
- sustainable margins from shortage pricing;
- organic growth from acquisitions; and
- economic dilution from noncash compensation.
Common DCF mistakes
Mixing FCFF and the cost of equity
FCFF belongs to debt and equity holders and should not normally be discounted only at the equity rate.
Mixing nominal and real values
Cash flows containing inflation need a nominal discount rate. Real cash flows need a real rate.
Counting cash or debt twice
If interest is excluded from FCFF and debt is reflected in WACC, debt is normally subtracted in the enterprise-to-equity bridge—not also embedded as an operating cash outflow.
Using an impossible terminal assumption
Perpetual growth at or above the discount rate breaks the formula and the economics.
Ignoring dilution
Dividing by basic shares can overstate value when employees or security holders have additional economic claims.
Choosing assumptions to reach the market price
A model calibrated backward can explain the price without independently estimating value. Reverse DCF is still useful, but label it honestly: it reveals what expectations the current price implies.
How I would use DCF
I would create a base, downside, and upside case; disclose the operating drivers; and show which assumptions matter most. I would compare the result with market multiples and the company’s own historical economics without using either as automatic proof.
Most importantly, I would ask what must be true for the valuation to work. DCF is most valuable when it exposes the expectations embedded in a decision, not when it hides them behind a precise spreadsheet cell.
Bottom line
DCF converts a business story into cash flows, discount rates, and a value bridge. That discipline is its strength. Its weakness is that uncertain long-term assumptions can dominate the answer.
Match FCFF with WACC or FCFE with the cost of equity, reconcile enterprise value to equity value, use diluted shares, and display sensitivity rather than one authoritative-looking number. The result is a conditional estimate—not a fact waiting to be discovered.
For the asset-pricing foundation behind one common cost-of-equity estimate, read CAPM Explained. For the distinction between valuation research and reliably exploitable mispricing, continue with Is the Stock Market Efficient?.