Discounted Cash Flow (DCF) Analysis: How It Works, Formula, and Step-by-Step Example

May 7, 2026 · guides · 14 min read

title: "Discounted Cash Flow (DCF) Analysis: How It Works, Formula, and Step-by-Step Example" excerpt: "Learn what discounted cash flow analysis is, how to calculate DCF, what free cash flow projections and discount rates mean, and how analysts use DCF to estimate intrinsic value." slug: "discounted-cash-flow-explained" date: "2026-05-07" category: "guides" readingTime: 14 tags: ["discounted cash flow", "DCF analysis", "intrinsic value", "WACC", "free cash flow", "terminal value", "stock valuation", "fundamental analysis"]

What Is Discounted Cash Flow Analysis?

Discounted cash flow (DCF) analysis is a valuation method that estimates the intrinsic value of a business or asset by projecting its future free cash flows and discounting them back to the present. The underlying logic is straightforward: a dollar received in the future is worth less than a dollar received today, because the present dollar can be reinvested to earn a return. DCF converts all projected future cash flows into present-value equivalents so they can be summed into a single estimate of what the business is worth right now.

DCF is one of the most theoretically rigorous approaches in fundamental analysis. It forces the analyst to make explicit assumptions about growth, profitability, and risk — and it ties intrinsic value directly to the economic output of the business, not to how the market happens to be pricing comparable companies at a given moment. For that reason, it is the dominant framework in corporate finance for capital budgeting, mergers and acquisitions, and long-term equity research.

The DCF Formula

The core DCF formula expresses present value (PV) as the sum of all future cash flows, each discounted by a factor that accounts for the passage of time and the required rate of return:

PV = FCF1 / (1 + r)^1 + FCF2 / (1 + r)^2 + ... + FCFn / (1 + r)^n + TV / (1 + r)^n

Where:

Each term in the sum discounts a single year's cash flow. The exponent in the denominator grows larger each year, so cash flows far in the future are penalized more heavily. A cash flow arriving in year 10 at a 10% discount rate is worth roughly 38 cents on the dollar today. That math is what makes the discount rate and terminal value assumptions so consequential.

Free Cash Flow: The Input That Drives Everything

Free cash flow (FCF) is the cash a business generates after funding its operations and maintaining or growing its asset base. There are two common definitions:

Unlevered Free Cash Flow (FCFF): Used in an enterprise-value DCF. Calculated before interest payments so the result is independent of capital structure.

FCFF = EBIT x (1 - Tax Rate) + Depreciation & Amortization - Capital Expenditures - Changes in Working Capital

Levered Free Cash Flow (FCFE): Cash available to equity holders after debt service. Used in an equity-value DCF.

FCFE = Net Income + Depreciation & Amortization - Capital Expenditures - Changes in Working Capital + Net Borrowing

Most institutional-depth DCF models use FCFF and derive equity value by subtracting net debt at the end. That approach is less sensitive to leverage changes over the projection period and makes the discount rate calculation cleaner.

Why FCF over earnings? Reported earnings include non-cash items and are shaped by accounting choices. Free cash flow reflects what actually hits the bank. A company can report positive net income while consuming cash; FCF exposes that discrepancy. Warren Buffett's concept of "owner earnings" is essentially a variant of levered free cash flow.

Projecting Free Cash Flow: Growth Assumptions

The most judgment-intensive step in a DCF is projecting FCF over the explicit forecast horizon — typically five to ten years. Most analysts build a three-stage model:

Stage 1 — High-growth phase (years 1–5): Revenue growth, operating margins, and capital intensity are projected year by year. Inputs are grounded in historical trends, management guidance, industry dynamics, and competitive positioning.

Stage 2 — Transition phase (years 6–10, if used): Growth decelerates toward a sustainable long-run rate. Margins may compress or expand as the business matures.

Stage 3 — Terminal value: All cash flows beyond the explicit horizon are captured in a single terminal value figure.

Common levers modeled in each year:

A useful sanity check: if the model projects a high growth rate but also implies very low reinvestment, ROIC must be implausibly high. Growth without reinvestment is only sustainable when the business is genuinely asset-light — and even then, limits exist.

The Discount Rate: WACC

The discount rate translates future cash flows into present value. For an unlevered (enterprise-value) DCF, the correct discount rate is the weighted average cost of capital (WACC).

WACC = (E / V) x Re + (D / V) x Rd x (1 - Tax Rate)

Where:

Cost of equity (Re) is typically estimated using the Capital Asset Pricing Model (CAPM):

Re = Rf + Beta x (Rm - Rf)

Where Rf is the risk-free rate (commonly the 10-year Treasury yield), Beta measures the stock's sensitivity to broad market movements, and (Rm - Rf) is the equity risk premium (ERP) — the expected excess return of equities over the risk-free rate, historically around 4–6% in U.S. markets.

WACC for a typical large-cap U.S. company might fall in the 7–10% range. Capital-light technology businesses often carry higher equity betas, pushing WACC toward 9–12%. Utilities, with stable regulated cash flows and high debt, might use a WACC near 5–7%.

A one-percentage-point change in WACC can swing the model's output by 15–25%, which is why WACC sensitivity is a standard output of any rigorous DCF.

Terminal Value: Where Most of the Value Lives

The terminal value (TV) represents every cash flow after the explicit projection period. In a standard five-year DCF, terminal value typically accounts for 60–80% of total enterprise value — a fact that deserves careful attention, since it means most of the model's output is driven by assumptions about a period a decade or more in the future.

Two methods dominate:

Gordon Growth Model (Perpetuity Growth)

TV = FCFn x (1 + g) / (WACC - g)

Where g is the terminal growth rate — the assumed perpetual growth rate for free cash flow beyond year n. This is usually set at or below long-run nominal GDP growth (typically 2–3%). Setting g above GDP growth implicitly assumes the company eventually becomes larger than the entire economy, which is not a credible long-run assumption for any single firm.

Exit Multiple Method

TV = FCFn (or EBITDAn) x Exit Multiple

The exit multiple approach applies a market-derived multiple (e.g., 12x EBITDA) to the final year's metric, then discounts that figure back. It has the advantage of being anchored to current market pricing, but it reintroduces the circular dependency on market multiples that DCF is meant to avoid. Many practitioners run both methods and triangulate.

Step-by-Step Numerical Example

Below is a simplified five-year DCF illustration. All figures are hypothetical and presented for educational purposes only — this is not a model estimate for any real company.

Assumptions:

Step 1 — Project Free Cash Flow (years 1–5)

Year FCF Growth FCF (millions)
1 12% 560.0
2 12% 627.2
3 12% 702.5
4 12% 786.8
5 12% 881.2

Step 2 — Discount Each Year's FCF to Present Value

Discount factor for year t = 1 / (1 + 0.09)^t

Year FCF Discount Factor PV of FCF
1 560.0 0.9174 513.8
2 627.2 0.8417 527.9
3 702.5 0.7722 542.5
4 786.8 0.7084 557.4
5 881.2 0.6499 572.7

Sum of discounted FCFs (years 1–5) = 2,714.3 million

Step 3 — Calculate Terminal Value

Terminal FCF = Year 5 FCF x (1 + g) = 881.2 x 1.025 = 903.2 million

TV = 903.2 / (0.09 - 0.025) = 903.2 / 0.065 = 13,895.4 million

Step 4 — Discount Terminal Value to Present Value

PV of TV = 13,895.4 / (1.09)^5 = 13,895.4 / 1.5386 = 9,032.8 million

Step 5 — Calculate Enterprise Value

Enterprise Value = PV of FCFs + PV of TV = 2,714.3 + 9,032.8 = 11,747.1 million

Note: terminal value represents 76.9% of total enterprise value in this example — consistent with typical DCF outputs.

Step 6 — Derive Equity Value and Intrinsic Value Per Share

Equity Value = Enterprise Value - Net Debt = 11,747.1 - 800.0 = 10,947.1 million

Intrinsic Value Per Share = 10,947.1 / 200 = 54.74

Under these assumptions, the model projects intrinsic value per share of approximately 54.74. Whether this differs meaningfully from the current market price determines how analysts assess relative richness or cheapness — but that comparison is informational, not directional advice.

Sensitivity Analysis: WACC vs. Terminal Growth Rate

Because the model's output depends heavily on two inputs that are difficult to pin down precisely — WACC and the terminal growth rate — a well-constructed DCF always includes a sensitivity table showing how intrinsic value per share changes as those variables shift.

Using the example above:

Intrinsic Value Per Share Sensitivity Table

Terminal Growth Rate → 1.5% 2.0% 2.5% 3.0% 3.5%
WACC = 8.0% 53.40 58.82 65.61 74.48 86.59
WACC = 8.5% 47.91 52.52 58.05 65.00 74.06
WACC = 9.0% 43.30 47.22 51.89 57.63 64.93
WACC = 9.5% 39.38 42.73 46.67 51.44 57.44
WACC = 10.0% 36.03 38.93 42.27 46.28 51.25

The range spans from 36 to 87 — a spread of more than 2x across plausible inputs. This illustrates why treating any single DCF output as a precise number is analytically unsound. The honest output of a DCF is a range of scenario estimates, not a single figure.

Strengths of DCF Analysis

1. Grounded in economic fundamentals. DCF values what a business actually produces — cash — rather than what the market is currently willing to pay for a unit of earnings or book value. It is independent of sentiment cycles, sector rotations, or momentum.

2. Forces explicit assumption-making. Every input must be justified. Building a DCF is itself a discovery process: it often reveals that a bullish market consensus requires unrealistic growth assumptions to be supported by fundamentals.

3. Applicable across industries and structures. With appropriate modifications, DCF can be applied to mature industrials, high-growth technology companies, asset-heavy utilities, and financial businesses. It does not rely on comparable companies existing.

4. Integrates risk directly. The discount rate embeds the analyst's view of business risk. Higher uncertainty justifies a higher WACC, which mechanically reduces present value — an intuitive and correct relationship.

5. Useful for scenario analysis. Because inputs are explicit, DCF supports systematic scenario modeling: a base case, a downside case with compressed margins and lower growth, and an upside case. The resulting range communicates uncertainty rather than false precision.

Weaknesses and Limitations of DCF Analysis

Garbage In, Garbage Out

DCF is only as good as its inputs. Revenue forecasts, margin assumptions, reinvestment requirements, and WACC estimates all carry significant uncertainty — and that uncertainty compounds across a five-to-ten year horizon. Small changes in assumptions, particularly in years four and five (which feed the terminal value), can shift the output dramatically. Analysts who anchor their growth assumptions to recent performance may systematically overestimate value for companies exiting a peak growth phase.

Terminal Value Dominates

As demonstrated in the example above, terminal value routinely accounts for 65–80% of total enterprise value. This means the vast majority of the model's output is determined by two numbers: the terminal growth rate and the discount rate applied to a period more than a decade in the future. Both are estimated with considerable imprecision. The practical implication is that DCF is often better at generating a range of plausible values than at pinpointing a single number.

WACC Estimation Is Imprecise

Cost of equity via CAPM depends on beta, which is calculated from historical returns and is unstable over time. The equity risk premium is an estimate with wide confidence intervals. Different practitioners using different data sources and lookback periods will arrive at materially different WACCs for the same company.

DCF Cannot Value Optionality Well

Businesses that derive substantial value from future options — the right to enter new markets, pivot their model, or monetize a platform in ways not yet defined — are systematically undervalued by DCF. Real options analysis or probabilistic scenario trees may be more appropriate for early-stage companies, deep cyclicals at trough, or platform businesses.

Requires Detailed Financial Modeling

A robust DCF requires clean historical financials, a coherent operating model, and careful treatment of non-operating items (pension obligations, minority interests, operating leases, convertible securities). Building it properly is time-consuming; shortcuts introduce errors that can be hard to detect.

DCF vs. Relative Valuation (P/E, EV/EBITDA)

DCF and relative (or comparable) valuation are complementary, not competing, approaches. Most institutional analysts use both.

Relative valuation — using multiples like price-to-earnings (P/E), EV/EBITDA, or price-to-sales — is faster, more transparent, and anchored to current market pricing. If a company trades at a significant discount to peers with similar growth and return profiles, that gap is observable and measurable. The limitation is that relative valuation tells you nothing about absolute value: if the entire sector is overvalued, a company that is cheap relative to peers can still be expensive in absolute terms.

DCF answers the absolute question but introduces the estimation uncertainty described above. The ideal workflow is to use DCF for an independent intrinsic value estimate, then use relative multiples to see how the market is pricing that value — and to ask whether any gap is explained by legitimate differences in growth or quality, or whether it represents a genuine divergence from fundamentals.

Dimension DCF Relative Valuation
Independence from market High Low
Speed and simplicity Low High
Sensitivity to assumptions Very high Moderate
Works when no peers exist Yes No
Captures absolute mispricing Yes No
Requires financial modeling Yes No

How Equity Rank Uses DCF

Equity Rank's valuation engine runs DCF models at scale across thousands of publicly traded companies, using reported financials, consensus analyst estimates, and sector-adjusted WACC inputs calibrated to current market conditions. The model projects free cash flow under a base-case scenario and discounts it using WACC derived from CAPM. Outputs are expressed as a projected model fair value range with explicit scenario assumptions — not as point estimates and not as directional guidance.

Users can inspect the assumptions driving each company's model fair value, adjust the terminal growth rate, and view sensitivity outputs — giving them the institutional-depth analytical framework that was previously accessible only through proprietary research desks.

All DCF outputs on Equity Rank are model estimates under stated assumptions. They are educational research tools, not investment advice. No output on the platform should be interpreted as a recommendation to overweight or underweight any security.

Key Takeaways