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CFA Level I · CFA Level I Exam

Financial Statement Forecasting in Equity Valuation: formula sheet

Full chapter guide

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.