FCFF and FCFE models, residual income, private company valuation, and market-based multiples — advanced equity analysis for CFA Level II.
Definition first
This guide is designed for first-pass understanding. Start with core terms, then apply the framework in your own account workflow.
Equity valuation at the CFA Level II exam goes far beyond simple multiples. You need to master discounted cash flow models using free cash flow to the firm and free cash flow to equity, residual income approaches, private company adjustments, and a full toolkit of market-based valuation methods. This guide walks through every major model, explains when to use each one, and highlights the exam-weight traps that catch candidates off guard.
Why Equity Valuation Dominates Level II
Equity valuation is the single largest topic area on the CFA Level II exam, typically accounting for 10–15% of total exam weight. Unlike Level I, which introduces valuation concepts at a surface level through foundational equity investment principles, Level II demands that you actually build models, select appropriate inputs, and defend your choice of methodology. The exam tests not just whether you can plug numbers into a formula, but whether you understand which formula to use and why.
The Level II equity curriculum is organized around three pillars: intrinsic value models (DCF-based), relative valuation models (market multiples), and residual income models. Each pillar has specific strengths, weaknesses, and situations where it is the preferred approach. A well-prepared candidate can look at a vignette, identify the company type and data available, and immediately narrow down the appropriate valuation framework.
Free Cash Flow to the Firm (FCFF)
FCFF represents the cash flow available to all providers of capital — both debt holders and equity holders — after the company has paid its operating expenses, taxes, and reinvestment needs. The standard formula starts with net income and works backward:
FCFF = Net Income + Non-Cash Charges + Interest × (1 − Tax Rate) − Fixed Capital Investment − Working Capital Investment
Alternatively, you can start from EBIT or EBITDA:
From EBIT: FCFF = EBIT × (1 − Tax Rate) + Depreciation − Capital Expenditures − Change in Working Capital
From EBITDA: FCFF = EBITDA × (1 − Tax Rate) + Depreciation × Tax Rate − Capital Expenditures − Change in Working Capital
From CFO: FCFF = CFO + Interest × (1 − Tax Rate) − Capital Expenditures
The key insight is that FCFF is capital-structure neutral. Because you add back after-tax interest expense, FCFF measures the cash the business generates regardless of how it is financed. This makes it ideal for valuing companies that are expected to change their capital structure over time, or for comparing companies with very different leverage levels.
To get firm value from FCFF, you discount at the weighted average cost of capital (WACC). The single-stage Gordon Growth version is: Firm Value = FCFF₁ / (WACC − g), where g is the long-term sustainable growth rate. To get equity value, subtract the market value of debt from firm value. In practice, Level II vignettes almost always require a two-stage or three-stage model where growth rates change over time.
Free Cash Flow to Equity (FCFE)
FCFE measures the cash flow available specifically to equity holders after all obligations to debt holders have been met:
FCFE = Net Income + Depreciation − Capital Expenditures − Change in Working Capital + Net Borrowing
FCFE is discounted at the required return on equity (not WACC) to arrive directly at equity value. This bypasses the need to separately estimate the market value of debt, which can be advantageous when debt is complex or when you want a direct equity valuation.
However, FCFE has a critical limitation: it assumes the company's capital structure is stable. If a company is rapidly deleveraging or taking on new debt, net borrowing fluctuates wildly and FCFE becomes unreliable. In that scenario, FCFF is the better choice because it strips out financing effects entirely.
FCFF vs. FCFE: The Decision Framework
One of the most frequently tested concepts at Level II is knowing when to use FCFF versus FCFE. The CFA Institute curriculum provides clear guidance, and exam vignettes are often designed to test whether you can identify the right model from contextual clues.
Criterion
Use FCFF
Use FCFE
Capital structure
Changing or highly leveraged
Stable and predictable
Negative FCFE
FCFF may still be positive
Negative FCFE makes model unreliable
Discount rate
WACC (blended cost of capital)
Required return on equity (re)
Output
Firm value (subtract debt for equity)
Equity value directly
Debt complexity
Works well even with complex debt
Net borrowing must be estimable
Ideal company type
Capital-intensive, leveraged firms
Stable, mature companies
A common exam trap is a vignette where the company has significant debt issuance planned. Using FCFE in that scenario would require forecasting net borrowing, which introduces estimation error. FCFF sidesteps the problem entirely. If the vignette mentions changing leverage, that is your cue to use FCFF.
Multi-Stage DCF Models
Single-stage (Gordon Growth) models assume constant growth forever, which is unrealistic for most companies. Level II focuses heavily on two-stage and three-stage models:
Two-stage model: A high-growth phase (typically 3–10 years) followed by a stable terminal growth phase. You project explicit cash flows for the high-growth period, then calculate a terminal value using the Gordon Growth model at the stable rate. The terminal value often accounts for 60–80% of total firm value, so the terminal growth rate assumption is critical.
Three-stage model: Adds a transition period between high growth and stable growth, where the growth rate gradually declines. This is more realistic for companies that won't suddenly shift from 15% growth to 3% growth overnight. The math is more involved but the concept is straightforward: each year in the transition phase uses a linearly interpolated growth rate.
For the terminal growth rate, the CFA curriculum emphasizes that it should not exceed the long-term nominal GDP growth rate of the economy (typically 2–4% for developed markets). A company cannot grow faster than the economy forever — it would eventually become the entire economy. Candidates who use terminal growth rates above 5% are almost certainly making an error.
Residual Income Valuation
The residual income model takes a fundamentally different approach. Instead of forecasting cash flows, it starts with the current book value of equity and adds the present value of future "excess earnings" — earnings above the required return on equity:
V₀ = B₀ + Σ [RIt / (1 + re)t]
Where Residual Income (RI) = Net Income − (re × Book Value of Equity). If a company earns exactly its cost of equity, residual income is zero and the stock is worth book value. If it earns more than its cost of equity, the stock is worth more than book value.
The residual income model has several advantages that make it popular on the exam:
Terminal value is less dominant. Because you start with book value (a known quantity), the present value of residual income is a smaller portion of total value compared to DCF models. This makes the model less sensitive to terminal assumptions.
Works well for financial companies. Banks and insurers have meaningful book values and relatively stable equity bases, making residual income a natural fit.
Uses accrual accounting data. Unlike FCFF/FCFE, which require cash flow adjustments, residual income uses earnings and book value directly from financial statements.
The main limitation is that the model relies on clean surplus accounting — the assumption that all gains and losses flow through the income statement. If a company has significant other comprehensive income (OCI) items that bypass the income statement, the clean surplus relation breaks down and the model becomes less reliable.
Private Company Valuation
Valuing private companies introduces challenges that don't exist with publicly traded firms. There is no market price to anchor your analysis, financial statements may be lower quality, and the company's shares are illiquid. Level II tests several private-company-specific adjustments:
Discount for lack of marketability (DLOM): Private shares cannot be sold on an exchange, so buyers demand a discount. Studies suggest DLOMs of 15–35% depending on the company's size, profitability, and probability of a future IPO or acquisition.
Control premium or minority discount: A controlling interest in a private company is worth more than a minority stake because the controller can set strategy, dividends, and compensation. Control premiums of 20–40% are common in acquisition contexts.
Normalized earnings: Private company owners often run personal expenses through the business, pay themselves above-market salaries, or make other discretionary choices. Normalized earnings adjust for these items to reflect what the company would earn under professional management. Understanding corporate issuers and governance helps contextualize these adjustments.
Key person risk: If the founder or a small number of individuals are critical to the business, a key person discount may apply.
The three primary approaches to private company valuation are the income approach (DCF), the market approach (comparable transactions and guideline public companies), and the asset-based approach (adjusted net asset value). The income approach applies the same FCFF/FCFE models discussed above but with a higher discount rate to reflect the additional risk of private ownership. The market approach uses multiples from comparable public companies or recent private transactions, with adjustments for size, risk, and growth differences.
Market-Based Valuation: Justified Multiples
Market-based valuation using multiples is the most commonly used approach in practice, and Level II tests your understanding of what drives each multiple. The key concept is the justified multiple — the multiple that a stock should trade at based on its fundamentals, derived from the Gordon Growth Model.
Justified Price-to-Earnings (P/E)
Starting from the Gordon Growth Model: P₀ = D₁ / (r − g), and noting that D₁ = E₁ × Payout Ratio:
This tells you that a stock's P/E should be higher when: the payout ratio is higher, the required return is lower (less risky), or the growth rate is higher. A company with a P/E of 25 isn't necessarily expensive — if its growth rate and risk profile justify that multiple, it may be fairly valued or even cheap.
Justified Price-to-Book (P/B)
Justified P/B = (ROE − g) / (r − g)
This is one of the most elegant formulas in the CFA curriculum. It directly links valuation to profitability: if ROE exceeds the cost of equity (r), the justified P/B is greater than 1, meaning the company creates value. If ROE equals r, justified P/B is exactly 1. If ROE is below r, the company destroys value and should trade below book.
Enterprise Value to EBITDA (EV/EBITDA)
EV/EBITDA is the preferred multiple for capital-intensive industries because it is capital-structure neutral (like FCFF) and removes the effects of different depreciation policies. The justified EV/EBITDA depends on:
FCFF growth rate relative to EBITDA growth
The WACC (higher WACC means lower justified multiple)
Tax rate (higher taxes reduce justified multiple)
Reinvestment rate relative to EBITDA
EV/EBITDA is especially useful for comparing companies across countries with different tax regimes and accounting standards, and for sectors like telecommunications, utilities, and industrials where EBITDA is a more stable measure of operating performance than net income.
Sum-of-the-Parts Valuation
Conglomerates and diversified companies often require sum-of-the-parts (SOTP) valuation because a single set of assumptions cannot capture all business segments. The approach is straightforward:
Identify each distinct business segment
Value each segment independently using the most appropriate method (DCF, multiples, or asset-based)
Sum the segment values to get total enterprise value
Subtract net debt and add cash to arrive at equity value
SOTP analysis often reveals a "conglomerate discount" — the market values the combined entity at less than the sum of its parts. This discount reflects the complexity of managing diverse businesses, potential cross-subsidization of weaker segments, and the difficulty investors have in analyzing the company. Activist investors often push for breakups when the conglomerate discount is large.
On the exam, SOTP questions typically provide segment-level financial data and ask you to apply different multiples to each segment. The challenge is selecting appropriate comparable companies for each segment and adjusting for differences in growth, margins, and risk.
Global and Industry-Specific Considerations
Equity valuation in a global context introduces additional complexities that Level II candidates must understand:
Currency effects: When valuing a foreign company, you must decide whether to discount foreign-currency cash flows at a foreign-currency discount rate (and then convert the result) or convert cash flows to your home currency first and discount at a domestic rate. Both approaches should yield the same answer if interest rate parity holds, but in practice they can diverge.
Country risk premiums: Emerging market companies face political, regulatory, and economic risks that developed-market companies do not. These risks are captured through a country risk premium added to the discount rate. Common approaches include the sovereign yield spread method and the Damodaran approach using equity market volatility relative to bond market volatility.
Accounting differences: Even with IFRS convergence, significant differences remain between IFRS and US GAAP in areas like revenue recognition, lease accounting, and intangible asset treatment. These differences affect both the numerator (earnings, cash flows) and denominator (book value) of valuation ratios.
Industry-Specific Multiples
Different industries have preferred valuation metrics based on what drives value in that sector:
Industry
Preferred Multiple
Rationale
Banking
P/B, P/E
Book value is meaningful; earnings are core output
Technology
EV/Revenue, EV/EBITDA
High-growth firms may lack positive earnings
Utilities
EV/EBITDA, P/E
Capital-intensive with stable regulated earnings
Real Estate
P/FFO, P/NAV
Depreciation distorts earnings; FFO adjusts for this
Oil & Gas
EV/EBITDA, EV/Reserves
Asset value tied to reserves; EBITDA normalizes D&A
Retail
EV/EBITDA, P/E
Lease-adjusted EBITDA preferred post-IFRS 16
Sensitivity Analysis and Model Risk
Every valuation model is only as good as its inputs. Level II expects you to understand that small changes in assumptions can produce dramatically different valuations:
Terminal growth rate: Changing the terminal growth rate from 2% to 3% in a DCF model can increase the valuation by 20–30% or more, depending on the spread between WACC and g.
WACC: The cost of capital is itself an estimate, composed of uncertain inputs like the equity risk premium, beta, and the cost of debt. A 50-basis-point change in WACC can meaningfully shift the output.
Margin assumptions: In multi-stage models, the assumed convergence path for margins and returns on capital drives a large portion of the value.
Best practice is to present a range of values using sensitivity tables that vary the two or three most impactful assumptions simultaneously. On the exam, you may be asked to calculate the value under different scenarios and identify which assumption has the greatest impact.
Common Exam Pitfalls
Based on CFA Institute's guidance and candidate experience, these are the most common mistakes in the equity valuation section:
Mixing FCFF and FCFE discount rates: FCFF uses WACC; FCFE uses the required return on equity. Using the wrong discount rate is an automatic wrong answer.
Forgetting to subtract debt: When using FCFF to arrive at firm value, you must subtract debt to get equity value. Many candidates forget this step.
Terminal value timing: The terminal value calculated at year N represents the value at the end of year N (or beginning of year N+1). It must be discounted back N periods, not N+1.
Using trailing vs. leading multiples inconsistently: If the vignette provides a forward P/E, make sure you multiply by forward earnings (E₁), not trailing earnings (E₀).
Ignoring the clean surplus relation: In residual income problems, check whether OCI items are significant. If they are, the model may not apply cleanly.
Connecting Valuation to the Broader Curriculum
Equity valuation at Level II does not exist in isolation. It connects directly to several other study sessions. Understanding advanced financial reporting is essential because the quality of your valuation inputs depends entirely on the quality of the financial statements you are analyzing. Pension adjustments, intercorporate investments, and multinational currency translations all affect the earnings and book values that feed into your models.
Similarly, fixed income and derivatives knowledge is needed to properly value the debt side of the balance sheet when computing WACC, and to understand how option-like features in convertible securities affect equity valuation. Economics and corporate finance topics like currency models and M&A valuation directly overlap with equity analysis when valuing cross-border acquisitions or assessing the impact of restructuring on shareholder value.
Putting It All Together
The equity valuation section at Level II is not about memorizing formulas — it's about developing judgment. Given a company profile, can you select the right model? Given messy financial data, can you extract clean inputs? Given a valuation output, can you identify what assumptions drive it and how sensitive the result is to changes?
For a comprehensive overview of how Level II is structured across all topic areas, see our CFA Level II exam preview. Practice by working through full vignettes from start to finish: read the company description, select a model, calculate the value, and then ask yourself whether the answer makes sense. If a DCF gives you a value that is wildly different from the current market price, figure out which assumption is causing the divergence. That analytical muscle is what the exam is really testing, and it is the same skill that separates competent analysts from great ones in professional practice.
Clarity's portfolio tracking tools let you monitor the actual performance of your equity holdings against the valuations you build, helping you refine your modeling assumptions with real-world feedback over time.