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Why this topic matters
Business Analysis and Reporting (BAR) Area I asks candidates to look forward: build budgets and forecasts, analyze cost-volume-profit relationships, evaluate capital investments, estimate a company's cost of capital, and value a business or asset. These are calculation-heavy skills that often appear in task-based simulations.
Budgeting
| Type | Description |
|---|---|
| Master (static) budget | Built for one planned level of activity; begins with the sales budget, then production, direct materials, direct labor, overhead, selling and administrative, the cash budget, and budgeted financial statements |
| Flexible budget | Adjusts costs to the actual level of activity — used to evaluate performance |
| Zero-based budget | Every expense must be justified from zero each period |
| Rolling (continuous) budget | A new period is added as each period ends |
| Participative budget | Managers help set their own budgets — better buy-in, risk of budgetary slack |
Production budget: units to produce = budgeted sales + desired ending inventory − beginning inventory.
Forecasting techniques
- Trend and moving-average methods extend past patterns.
- Regression analysis relates a dependent variable (cost, sales) to one or more drivers: y = a + bx. The coefficient of determination (R²) shows the share of variation explained; values near 1 indicate a strong fit.
- High-low method: variable cost per unit = (cost at highest activity − cost at lowest activity) ÷ (highest − lowest activity); fixed cost = total cost − variable cost at either point.
- Sensitivity analysis changes one input at a time; scenario analysis changes several (best, base, worst cases); Monte Carlo simulation uses probability distributions.
Cost-volume-profit analysis
| Measure | Formula |
|---|---|
| Contribution margin per unit | Selling price − variable cost per unit |
| Contribution margin ratio | Contribution margin ÷ selling price |
| Breakeven in units | Fixed costs ÷ contribution margin per unit |
| Breakeven in dollars | Fixed costs ÷ contribution margin ratio |
| Units for a target profit | (Fixed costs + target profit) ÷ contribution margin per unit (use pretax profit = after-tax profit ÷ (1 − tax rate)) |
| Margin of safety | Actual (or budgeted) sales − breakeven sales |
| Degree of operating leverage | Contribution margin ÷ operating income |
EXAMPLE: Price $50, variable cost $30, fixed costs $200,000. Contribution margin = $20; breakeven = 200,000 ÷ 20 = 10,000 units ($500,000 of sales). To earn $60,000 pretax: (200,000 + 60,000) ÷ 20 = 13,000 units.
Capital budgeting
| Method | Calculation | Decision rule and notes |
|---|---|---|
| Net present value (NPV) | Present value of future cash inflows − initial investment, at the required rate of return | Accept if NPV ≥ 0. The preferred method — considers the time value of money and all cash flows; assumes reinvestment at the discount rate. |
| Internal rate of return (IRR) | The discount rate at which NPV = 0 | Accept if IRR ≥ required rate. Can mislead for mutually exclusive projects or non-conventional cash flows; assumes reinvestment at the IRR. |
| Profitability index | Present value of future cash flows ÷ initial investment | Accept if > 1; useful for ranking under capital rationing |
| Payback period | Investment ÷ annual cash inflow (even flows) | Ignores the time value of money and cash flows after payback; measures liquidity risk |
| Discounted payback | Payback using discounted cash flows | Adds time value but still ignores later flows |
| Accounting rate of return | Average annual accounting income ÷ investment (initial or average) | Uses accrual income, ignores time value |
Relevant cash flows include the initial investment (plus working capital), after-tax operating cash flows, the depreciation tax shield (depreciation × tax rate), and after-tax salvage value. Sunk costs are ignored; opportunity costs are included.
EXAMPLE: A $100,000 machine produces $30,000 per year for 5 years; the required return is 10% (annuity factor 3.791). NPV = 30,000 × 3.791 − 100,000 = $13,730 → accept. Payback = 100,000 ÷ 30,000 = 3.33 years.
Cost of capital
- Cost of debt (after-tax) = pretax yield × (1 − tax rate).
- Cost of equity using the capital asset pricing model (CAPM): risk-free rate + beta × (market return − risk-free rate). Alternatively, the dividend growth model: (next dividend ÷ price) + growth rate.
- Weighted average cost of capital (WACC) = (weight of debt × after-tax cost of debt) + (weight of preferred × cost of preferred) + (weight of equity × cost of equity), using market-value weights. It is the discount rate for projects with average company risk.
EXAMPLE: Risk-free rate 4%, market return 10%, beta 1.2 → cost of equity = 4% + 1.2 × 6% = 11.2%. Debt yields 7% with a 21% tax rate → after-tax 5.53%. With 60% equity and 40% debt, WACC = 0.6 × 11.2% + 0.4 × 5.53% = 8.93%.
Valuation
| Approach | Techniques |
|---|---|
| Income approach | Discounted cash flow — forecast free cash flows and a terminal value (for example, final-year cash flow × (1 + g) ÷ (WACC − g)), discount at WACC; capitalization of earnings |
| Market approach | Multiples of comparable companies or transactions — price-to-earnings, enterprise value to earnings before interest, taxes, depreciation, and amortization (EBITDA), price-to-book |
| Cost (asset) approach | Replacement or reproduction cost, adjusted net asset value |
For financial reporting, valuations follow the fair value hierarchy of Accounting Standards Codification (ASC) 820: Level 1 (quoted prices for identical assets), Level 2 (observable inputs), Level 3 (unobservable inputs).
How it is tested
- Prepare a production or cash budget.
- Compute breakeven, target profit volume, and margin of safety.
- Compute NPV, IRR, payback, and the profitability index, and choose between projects.
- Compute the cost of equity with CAPM, WACC, and a simple discounted cash flow value.
EXAM TIP: When NPV and IRR rank mutually exclusive projects differently, choose the project with the higher NPV — it measures the increase in shareholder value directly.