Business 200Lesson 1 of 1515 min

DCF Frameworks — Entity, Equity, APV, and Economic Profit Models

McKinsey's Part Two begins with a critical observation: there are four distinct DCF-based approaches to valuation, and they produce identical answers when applied correctly. Understanding why they are equivalent — and when each is the right tool — is the foundation of professional DCF practice. Most errors in advanced valuation come from mixing components of one framework with another.

What you'll learn
  • State the cash flow definition and corresponding discount rate for each of the four DCF frameworks
  • Prove algebraically why Entity DCF and Equity DCF produce identical equity values when consistent assumptions are used
  • Explain the APV framework and identify the business situations where it is preferred over WACC-based entity DCF
  • Describe the Economic Profit model and explain how it reconciles invested capital with market value
  • Identify the most common framework-mixing error and explain why it produces nonsensical results

The Four DCF Frameworks — A Complete Map

Entity DCF
Cash flow:FCFF
Discount rate:WACC
Output:Enterprise Value
EV = Σ FCFF / (1+WACC)ᵗ + TV
1
Project NOPAT
2
Subtract reinvestment
3
Discount at WACC
4
Add TV at WACC
Best for: Most corporate valuations
Equity DCF
Cash flow:FCFE
Discount rate:Ke
Output:Equity Value
Equity = Σ FCFE / (1+Ke)ᵗ + TV
1
Project FCFF
2
Subtract after-tax interest
3
Add net debt issuance
4
Discount at Ke
Best for: Banks, financial institutions
APV
Cash flow:FCFF (unlevered)
Discount rate:Ku (unlevered)
Output:EV = VU + PV(Tax Shield)
EV = Σ FCFF / (1+Ku)ᵗ + PV(TS)
1
Value as if all-equity
2
Add PV of tax shields
3
Subtract financing costs
4
Sum all effects
Best for: LBOs, project finance
The Equivalence Principle — All Three Methods Yield Identical Enterprise Value
$1,695M
Entity DCF
Discount FCFF at WACC
$1,695M
Equity DCF + Debt
Equity value + market debt
$1,695M
APV
VU + PV(tax shield)
Different methods, identical answer — choose based on what changes in the scenario

Every DCF model answers the same question: what is the present value of future cash flows? But 'future cash flows' has four legitimate definitions — each of which belongs to a different set of investors and must be discounted at the rate appropriate to those investors. Mixing the wrong cash flow with the wrong discount rate is the single most common technical error in applied valuation, and the error is multiplicative: the longer the projection period, the larger the divergence.

FrameworkCash Flow DiscountedDiscount RateOutputBest Used When
Entity DCF (FCFF)Free Cash Flow to Firm — cash available to ALL investors (equity + debt) before financingWACC — weighted average of cost of equity and after-tax cost of debtEnterprise Value → subtract Net Debt → Equity ValueStandard case; target has a stable, well-defined capital structure
Equity DCF (FCFE)Free Cash Flow to Equity — cash available to EQUITY holders after debt serviceCost of Equity (Ke) from CAPMEquity Value directly — no bridge from EV neededFinancial institutions (banks, insurance) where debt is an operating input; also useful for highly leveraged structures
Adjusted Present Value (APV)Unlevered free cash flow (as if all-equity) + separately valued debt tax shieldsUnlevered cost of equity (Ku) for the operating cash flows; risk-free rate for near-certain tax shieldsEnterprise Value = Unlevered + Tax Shield PV → subtract Debt → Equity ValueComplex or changing capital structures; LBO analysis; project finance where debt follows a structured repayment schedule
Economic Profit (EP)Economic Profit = NOPAT − (WACC × Invested Capital); the residual value created above cost of capitalWACCEnterprise Value = Invested Capital + PV of all future Economic ProfitsPerformance measurement; explaining the gap between book value and market value; internal capital allocation

Why All Four Models Produce the Same Answer

The equivalence of all four models is not a coincidence — it is a mathematical identity. Each model is a different algebraic rearrangement of the same underlying cash flow reality. McKinsey devotes significant attention to this proof because practitioners who understand it make fewer errors and can diagnose discrepancies between models faster.

Entity DCF: EV = PV(FCFF at WACC). Equity DCF: Equity Value = PV(FCFE at Ke). The bridge: FCFE = FCFF − After-tax Interest + Net Debt Issuance. If the balance sheet assumptions are consistent (the same debt schedule is embedded in both), discounting FCFE at Ke and discounting FCFF at WACC must produce the same equity value. The discount rates differ to reflect the leverage embedded in each cash flow — FCFF is pre-leverage and so WACC is higher than Ke-unleveraged; FCFE is post-leverage and Ke reflects the financial risk of the remaining equity claim.

  • Entity DCF vs. Economic Profit equivalence: the sum of all future economic profits (EP = NOPAT − WACC × IC), when discounted at WACC and added to the beginning invested capital, equals the entity DCF value exactly. This is proven by the clean surplus relationship: beginning IC + new investment − depreciation = ending IC, and NOPAT − EP = WACC × IC. The EP model simply decomposes enterprise value into the capital already invested (book value) and the PV of future value creation above that capital.
  • APV vs. Entity DCF equivalence: WACC implicitly embeds the value of the debt tax shield by using an after-tax cost of debt in the weighted average. APV makes this explicit by separating the operating value (discounted at the unlevered cost of equity Ku) from the tax shield value (discounted at the appropriate shield rate). When both use the same debt schedule and same tax rate, they converge to the same total EV. APV is preferred when the debt repayment schedule is known with certainty — because the tax shield PV can be calculated more precisely than the blended WACC approach allows.
  • The most common framework-mixing error: discounting FCFF at the cost of equity (Ke) instead of WACC. This produces a massively understated enterprise value because FCFF is the pre-leverage cash flow that belongs to both debt and equity holders — but the analyst is discounting it at a rate appropriate only for equity holders (which is higher than WACC). The resulting error is a systematic undervaluation of all businesses with debt.

Entity DCF in Practice — The Standard Model

The entity DCF is the standard approach in investment banking, equity research, and management consulting because FCFF is capital-structure neutral — you can calculate it without a debt schedule and reconcile it to any capital structure. McKinsey's standard model structure has four components:

ComponentProjection PeriodWhat to ForecastCritical Assumption
Phase 1: Explicit ForecastYears 1–5 (or 1–10 for long-cycle businesses)Revenue growth, EBIT margin, tax rate, D&A, capex, working capital changes → FCFF each yearAll assumptions must be internally consistent with the reinvestment rate implied by g/ROIC
Phase 2: Fade PeriodYears 6–10 (optional; used when Phase 1 is 5 years)Gradual convergence of high returns and growth toward long-run sustainable levels; allows the terminal value to be less sensitive to extreme assumptionsROIC should fade toward cost of capital unless a structural moat prevents this
Terminal ValueYear T+1 to infinity (Gordon Growth Model or Exit Multiple)Perpetuity growing at the long-run nominal GDP growth rate; terminal ROIC must be defensibleTerminal year assumptions must be self-consistent: reinvestment rate = g_terminal / ROIC_terminal; FCF_terminal = NOPAT × (1 − g/ROIC)
Enterprise → Equity BridgeBalance sheet at valuation dateSubtract: Net Debt (Debt − Cash), Minority Interest, Unfunded Pension; Add: Value of non-operating assets, investments in associatesUse market values where available; book values for debt (if close to par); excess cash only, not operating cash

Entity DCF — Core Formula

EV = Σ [FCFF_t / (1+WACC)^t] + [TV / (1+WACC)^T]

Where TV = FCFF_{T+1} / (WACC − g) using the Gordon Growth Model, and FCFF_{T+1} = NOPAT_{T+1} × (1 − g/ROIC)

APV and Economic Profit — When the Standard Model Is Insufficient

APV and the Economic Profit model are not alternative preferences — they solve specific problems that the standard entity DCF cannot handle well. Choosing the right framework based on the valuation problem is a mark of professional practice.

FrameworkProblem It SolvesSituation It FitsExample Application
APVWACC assumes constant leverage ratio; when debt repayments are known in advance, the tax shield has a different risk profile than operating cash flowsLBOs (aggressive debt repayment schedule); project finance (structured debt); highly leveraged acquisitionsAn LBO model with a 7-year debt paydown schedule: each year's tax shield is near-certain once the debt is in place; APV discounts shields at Rf, operating FCF at Ku, then sums
APVCross-border valuations where subsidized debt (government loan guarantees, development bank financing) creates tax shields with different riskInfrastructure projects, public-private partnerships, sovereign-adjacent financingA toll road project with 30-year government-guaranteed bonds at below-market rates — the interest deduction value is certain; embed it separately in APV
Economic ProfitBridging market value to book value for performance measurement and internal capital allocation decisionsConglomerates allocating capital across divisions; management compensation tied to value creation metricsA multi-division company evaluating whether each division earns above its cost of capital — EP makes this explicit and avoids accounting distortions from growth investing
Economic ProfitExplaining why a business with good ROE but low ROIC appears to trade at or below book valueBusinesses where accounting ROE overstates ROIC due to leverage or off-balance-sheet intangiblesA retailer with high financial leverage — ROE looks healthy but ROIC is low; EP shows the business destroys value despite positive net income

For most valuations, the entity DCF using FCFF and WACC is the correct framework. Use APV for LBOs and structured-debt situations where the debt schedule is explicit and changes significantly over time. Use the Economic Profit model as a supplement to entity DCF for performance measurement and to explain the relationship between book value and market value. Never use multiple frameworks in the same model without reconciling them to confirm they produce the same answer.

Key Takeaways

  • Four DCF frameworks: Entity DCF (FCFF/WACC), Equity DCF (FCFE/Ke), APV (unlevered FCF + tax shield separately), Economic Profit (invested capital + PV of future EP) — all produce identical equity values when applied consistently
  • The equivalence is mathematical, not coincidental — each model is a rearrangement of the same cash flow identity; divergences always indicate a consistency error in assumptions
  • Entity DCF is the standard for most businesses: FCFF is capital-structure neutral, allowing you to analyze the operating business independently of financing choices
  • APV is preferred for LBOs and structured finance where the debt repayment schedule is known — it prices tax shields more precisely than blended WACC allows
  • The most common error: discounting FCFF at Ke instead of WACC — this systematically undervalues all leveraged businesses because it applies an equity-only discount rate to cash flows that belong to both debt and equity holders

Quiz — 3 Questions

Answer one at a time
Question 1 of 30 answered

A company has FCFF of $50M per year (flat forever), WACC of 10%, and Net Debt of $200M. What is the equity value? Now suppose you use the Equity DCF framework instead. The company has $20M in after-tax interest expense and no debt issuance. What is FCFE, and what discount rate must you use to arrive at the same equity value?

AEntity DCF: EV = $500M; Equity Value = $300M. Equity DCF: FCFE = $30M at 10%
BEntity DCF: EV = FCFF/WACC = $50M/0.10 = $500M; Equity Value = $500M − $200M net debt = $300M. Equity DCF: FCFE = FCFF − After-tax Interest = $50M − $20M = $30M; to get the same equity value of $300M from a perpetuity of $30M, we need: Ke = FCFE/Equity Value = $30M/$300M = 10.0%? No — that's only correct if WACC equals Ke, which means no leverage benefit. Let's verify: if Equity Value = $300M and Debt = $200M (at, say, 10% cost of debt), Ke = WACC + (WACC − Kd) × D/E = 10% + (10% − ?) × 200/300. We need more information about Kd to solve this precisely, but the principle holds: FCFE discounted at Ke = $300M must hold
CEntity DCF equity value = $250M; FCFE = $30M
DEntity DCF equity value = $500M; you cannot use Equity DCF for the same company