CFA Level I · CFA Level I Exam
Introduction to Equity Valuation: formula sheet
Key formulas
- Mispricing (valuation gap)
- Mispricing = Intrinsic value (estimated) − Market price
- Positive means undervalued. Negative means overvalued. Zero means fairly valued.
- Undervalued
- Intrinsic value > Market price
- The analyst's estimate is above price. Suggests a buy, if you trust the estimate.
- Overvalued
- Intrinsic value < Market price
- The analyst's estimate is below price. Suggests a sell or avoid.
- Efficient market
- Market price ≈ Intrinsic value
- Holds when price reflects all available information. Mispricing cannot be exploited consistently.
- Five steps of the valuation process
- Understand business → Forecast performance → Select model → Convert forecasts to valuation → Apply valuation (recommend/communicate)
- Learn the order. Many questions ask which step an activity belongs to.
- Porter's five forces
- New entrants, supplier power, buyer power, substitutes, rivalry among existing competitors
- Stronger forces mean lower industry profit potential and weaker pricing power.
- Value versus price decision
- Intrinsic value > market price → undervalued; intrinsic value < market price → overvalued
- Holds for your estimate of value. The conclusion is only as reliable as your inputs.
- Top-down revenue
- Company revenue = Industry sales × Company market share
- Forecast industry sales first, often from GDP growth and an industry-to-GDP relationship, then apply an expected market share.
- Bottom-up revenue
- Revenue = Σ (Units sold × Price per unit) across products or segments
- You can also use number of outlets × sales per outlet. Sum all segments for the total.
- Revenue growth
- Growth = (Revenue this year ÷ Revenue last year) − 1
- Use it to compare your forecast with history and with industry growth.
- Market share
- Market share = Company sales ÷ Industry sales
- A rising share needs a reason, such as a better product, lower prices or new markets.
- Earnings from forecast
- Net income = Revenue × Net profit margin
- A quick link from a revenue forecast to earnings when margin is the assumption.
- DDM (general form)
- V₀ = Σ Dₜ ÷ (1 + r)ᵗ, for t = 1 to ∞
- r is the required return on equity. Use it when dividends are the cash flows to shareholders.
- Gordon growth model
- V₀ = D₁ ÷ (r − g)
- Needs constant growth forever and r > g. D₁ = D₀ × (1 + g).
- FCFE valuation
- Equity value = Σ FCFEₜ ÷ (1 + r)ᵗ
- Discount at the cost of equity. Per-share value = equity value ÷ shares outstanding.
- FCFF valuation
- Firm value = Σ FCFFₜ ÷ (1 + WACC)ᵗ; Equity value = Firm value − Debt (+ cash if not already in firm value)
- Discount at WACC, not at cost of equity.
- Justified P/E from the Gordon growth model
- Justified P/E₁ = (D₁ ÷ E₁) ÷ (r − g), the leading P/E
- Links the multiple to payout ratio, growth and required return.
- Value from a multiple
- Value per share = benchmark multiple × company's metric per share
- Example: benchmark P/E × EPS. Metric and multiple must be on the same basis (trailing or forward).
- Asset-based value
- Equity value = Fair value of assets − Fair value of liabilities
- Use fair values, not book values, where they differ.
- Standard V(A) Diligence and Reasonable Basis
- Thorough analysis + adequate support = reasonable basis
- Applies before you make or act on a recommendation. Reliance on third-party research still needs checking.
- Standard V(B) Communication with Clients
- Disclose process and limits; separate fact from opinion
- Include the important factors behind the recommendation, including risks and limitations.
- Standard V(C) Record Retention
- Keep records that support analysis, conclusions and communications
- Records belong to the firm. The Handbook suggests at least seven years where no regulation says otherwise.
- Standard I(B) Independence and Objectivity
- Use reasonable care and judgment; no gifts or pressure that compromise independence
- Applies to research, recommendations and any professional activity.
- Standard VI(A) Disclosure of Conflicts
- Avoid conflicts or make full, fair, prominent disclosure
- Covers stock ownership, banking ties, compensation and other relationships.
Quick revision
- Intrinsic value is the value justified by the company's fundamentals, which may differ from market price.
- If intrinsic value is above market price, the analyst views the share as undervalued; if below, overvalued.
- Market prices can differ from intrinsic value because the analyst's view of fundamentals differs from the market's.
- The valuation process runs from understanding the business to forecasting, selecting a model, valuing, and applying the result.
- Absolute valuation estimates value from the company's own expected cash flows or earnings.
- Relative valuation estimates value by comparing with similar companies, often using multiples.
- Forecasts are model inputs, so weak or inconsistent assumptions weaken the value however good the model is.
- Model choice should fit the company's characteristics and the quality of the available data.
- A valuation is an estimate, so report the assumptions and the uncertainty behind it.
- Recommendations need a reasonable and adequate basis and must be objective and independent.
- Financial reporting questions use IFRS unless the question says US GAAP.
- Answer every question; there is no penalty for a wrong answer.
Common mistakes
- Treating market price as the same as intrinsic value Fix: Remember price is where the stock trades. Intrinsic value is your estimate of what it is worth. They differ whenever mispricing exists.
- Reversing undervalued and overvalued Fix: Always ask whether value is above price. Value above price means the stock is cheap, so undervalued.
- Putting model selection before understanding the business. Fix: Remember the model must fit the business, so business understanding and forecasting come first.
- Treating forecasting as part of understanding the business. Fix: Understanding is qualitative and descriptive. Forecasting turns that understanding into projected numbers.
- Reversing the two approaches. Fix: Top means the top of the chain: economy and industry. Bottom means the company's own units and segments.
- Forgetting market share in a top-down revenue forecast. Fix: Always multiply industry sales by the company's expected market share.
- Using D₀ instead of D₁ in the Gordon growth model. Fix: Always check the timing. If given D₀, compute D₁ = D₀ × (1 + g) before dividing by (r − g).
- Discounting FCFF at the cost of equity, or FCFE at WACC. Fix: FCFF goes with WACC and gives firm value. FCFE goes with cost of equity and gives equity value directly.
- Treating disclosure as a cure for every conflict. Fix: Disclosure is needed, but if independence is truly compromised, the analyst must also act, such as stepping back or removing the influence.
- Confusing V(A) with V(B). Fix: V(A) is about the quality of the work behind a recommendation. V(B) is about how it is communicated to clients.
Exam tips
- Read the direction carefully. Many wrong options simply reverse undervalued and overvalued.
- Reject any option that calls intrinsic value certain or exactly known.
- For efficiency questions, link efficient markets to price reflecting information and limited chances for mispricing.
- With no penalty for wrong answers, always pick one of the three options. Eliminate the reversed-direction option first.
- Memorise the five steps in order. Many items only test sequence and classification.
- Match the verb in the stem to a step before reading the options.
- For Porter's forces, ask whether the force is strong or weak, then link strong to lower profits.
- On analyst-role items, favour options with a reasonable basis, clear assumptions and fair communication of risks.