CFA Level I · CFA Level I Exam
Financial Statement Forecasting in Equity Valuation: formula sheet
Key formulas
- Top-down revenue
- Company revenue = Industry sales × Market share
- Industry sales come from macro and industry forecasts such as GDP growth.
- Bottom-up revenue
- Company revenue = Σ (units × price) across products, stores or segments
- Example: number of stores × average sales per store.
- Market share check
- Implied share = Company revenue ÷ Industry sales
- Use it to test whether a bottom-up forecast is plausible.
- Growth-rate forecast
- Revenue(t+1) = Revenue(t) × (1 + g)
- For n years: Revenue(t) × (1 + g)^n if g is constant.
- Market share model
- Revenue = Market size × Market share
- Market size and share must use the same period and the same market definition.
- Market size growth
- Market(t+1) = Market(t) × (1 + market growth)
- Market growth is often tied to nominal GDP growth, which includes inflation.
- Price and volume model
- Revenue = Volume × Average price
- Average price is revenue per unit, which can change with product mix.
- Combined price-volume growth
- Revenue growth = (1 + volume growth) × (1 + price growth) − 1
- The sum of the two growth rates is only an approximation.
- Segment revenue
- Total revenue = Σ segment revenue
- Forecast each segment with its own drivers, then add.
- Gross margin
- Gross margin = (Revenue − COGS) ÷ Revenue
- COGS % of sales = 1 − gross margin.
- Operating margin
- Operating margin = (Revenue − COGS − SG&A) ÷ Revenue
- Use after other operating items if given.
- Cost forecast with fixed and variable parts
- Total cost = Fixed cost + (Variable cost per unit × Units)
- Grow the fixed cost for inflation, not for volume.
- Degree of operating leverage (DOL)
- DOL = % change in operating income ÷ % change in sales = Contribution margin ÷ Operating income
- Contribution margin = Revenue − Variable costs. Valid for small changes within the relevant range.
- Operating income change
- % change in operating income ≈ DOL × % change in sales
- The size of the effect grows with fixed costs.
- Net PP&E roll-forward
- Ending net PP&E = Beginning net PP&E + Capex − Depreciation
- Ignores disposals and impairments. Add or subtract them if the question gives them.
- Straight-line depreciation
- Annual depreciation = (Cost − Salvage value) ÷ Useful life
- Many models instead use depreciation as a percentage of beginning gross PP&E or of sales.
- Receivables
- Receivables = Sales × DSO ÷ Days in year
- Use the day count the question gives, usually 365.
- Inventory
- Inventory = COGS × DIO ÷ Days in year
- Use COGS, not sales.
- Payables
- Payables = COGS × DPO ÷ Days in year
- Strictly, payables relate to purchases, but COGS is the usual simplification unless purchases are given.
- Change in net working capital
- ΔNWC = Ending operating NWC − Beginning operating NWC
- Operating NWC excludes cash and debt. A positive ΔNWC is a cash outflow.
- Debt roll-forward
- Ending debt = Beginning debt + New borrowing − Repayment
- Check whether repayment is made at year end or during the year.
- Interest expense
- Interest = Interest rate × Average debt (or Beginning debt)
- Use the basis stated in the question. Average debt is more accurate but creates circularity.
- Share count roll-forward
- Ending shares = Beginning shares + Shares issued − Shares repurchased
- Use the weighted average share count for EPS.
- Operating cash flow link
- CFO = Net income + Depreciation − Increase in operating NWC
- Add other non-cash charges if given.
- Ending cash
- Ending cash = Beginning cash + CFO + CFI + CFF
- This is the figure that goes on the forecast balance sheet.
- Probability-weighted value
- Expected value = Σ (probability of scenario i × value in scenario i)
- Probabilities across the scenarios must sum to 100%.
- Sensitivity (percentage change)
- Sensitivity = % change in value ÷ % change in input
- Change one input only; compare the results across inputs to rank the drivers.
- Rule: sensitivity vs scenario
- Sensitivity = one variable at a time; Scenario = several variables together
- This is the core distinction tested.
Quick revision
- Forecasts feed valuation models, so errors in forecasts flow straight into value.
- Top-down starts with the economy and industry, then moves to the company.
- Bottom-up starts with company or segment details and aggregates upward.
- Market share model: company revenue = market size × market share.
- Revenue forecasts should be checked against capacity, industry growth and competitors.
- Fixed costs do not move with sales in the short run, so higher operating leverage means operating income is more sensitive to sales.
- Variable costs usually scale with revenue; forecast them as a percentage of sales unless there is a reason not to.
- Capex and depreciation must be consistent with the forecast growth in PP&E.
- Working capital forecasts are often based on days ratios such as receivable days, inventory days and payable days.
- Scenario analysis changes several inputs together; sensitivity analysis changes one input at a time.
- Common pitfalls: overconfidence, anchoring on past results, ignoring competitive response and projecting trends too far.
- Check that the three statements stay consistent after every change.
Common mistakes
- Reversing top-down and bottom-up. Fix: Top-down starts at the macro or industry level. Bottom-up starts at the company's own units.
- Forgetting that a bottom-up forecast can overstate sales. Fix: Remember it may ignore market limits. Check the implied market share against the industry.
- Adding volume growth and price growth to get exact revenue growth. Fix: Use (1 + volume growth) × (1 + price growth) − 1 when the question wants an exact figure.
- Applying the market growth rate to the company's revenue when share is changing. Fix: Forecast market size and share separately, then multiply.
- Forecasting every cost as a constant percentage of sales Fix: Hold only variable costs at a % of sales. Grow fixed costs separately.
- Growing fixed costs with sales volume Fix: Fixed costs change only with inflation or stated steps, within the relevant range.
- Treating an increase in working capital as a cash inflow. Fix: Remember that cash is tied up in receivables and inventory. An increase in operating NWC reduces cash flow from operations.
- Applying DIO and DPO to sales instead of COGS. Fix: Receivables use sales. Inventory and payables use COGS, unless the question says otherwise.
- Calling a one-variable test a scenario analysis. Fix: Count the inputs changed. One input held alone is sensitivity; a linked set is a scenario.
- Treating the worst case as the worst possible outcome. Fix: Remember that cases are chosen plausible outcomes. Real outcomes can fall outside them.
Exam tips
- Identify the starting point first; it settles most classification questions.
- Expect short calculations: industry sales × share, or units × price. Do the arithmetic once and check the units.
- Questions on reasonableness often hinge on implied market share.
- Remember the process order: understand the business, forecast revenue, then costs and investment, link statements, test scenarios.
- With no penalty for wrong answers, always answer; eliminate the option that reverses the definitions.
- Read which driver the stem gives. Most items supply the inputs, so your job is to combine them correctly.
- Watch the difference between percentage points of share and percent change in share.
- If a question asks for a judgment, look for the option that links the forecast to market growth, capacity or competition.