IAI Actuarial Core Principles · Business Finance
Interpreting company accounting information: formula sheet
Key formulas
- Two main purposes
- Decision usefulness + Stewardship
- Accounts help users decide, and show how directors used owners' resources.
- Core statements
- Financial position + Profit or loss + Cash flows (+ changes in equity and notes)
- Name the statement that answers each user's question.
- Accounting equation
- Assets = Liabilities + Equity
- Underlies the statement of financial position.
- Cash versus profit
- Profit ≠ cash generated
- Profit is on an accruals basis; cash flow shows actual receipts and payments.
- Gross profit margin
- Gross profit ÷ Revenue × 100%
- Gross profit = Revenue − Cost of sales.
- Operating profit margin
- Operating profit ÷ Revenue × 100%
- Operating profit is profit before interest and tax (PBIT), unless the question defines it otherwise.
- Net profit margin
- Profit after tax ÷ Revenue × 100%
- Some questions use profit before tax. State which you use.
- Return on capital employed (ROCE)
- Profit before interest and tax ÷ Capital employed × 100%
- Capital employed = Total assets − Current liabilities = Equity + Non-current liabilities.
- Return on equity (ROE)
- (Profit after tax − Preference dividends) ÷ Ordinary shareholders' equity × 100%
- Equity is often taken at year end. Average equity is also acceptable if you state it.
- ROCE breakdown
- ROCE = Operating margin × (Revenue ÷ Capital employed)
- Use it to explain whether margin or asset use caused a change.
- Current ratio
- Current ratio = Current assets ÷ Current liabilities
- Shown as a ratio, e.g. 1.5 : 1, or as a number of times.
- Quick ratio
- Quick ratio = (Current assets - Stock) ÷ Current liabilities
- Also called the acid test. Some questions also exclude prepayments; follow the question's definition.
- Stock days
- Stock days = (Closing stock ÷ Cost of sales) × 365
- Use cost of sales, not revenue. Some questions use average stock.
- Debtor days
- Debtor days = (Trade receivables ÷ Credit sales) × 365
- Use revenue if credit sales are not given, and say so.
- Creditor days
- Creditor days = (Trade payables ÷ Credit purchases) × 365
- If purchases are not given, use cost of sales and state the assumption.
- Working capital cycle
- Cycle = Stock days + Debtor days - Creditor days
- Measured in days. It is the time cash is tied up in operations.
- Asset turnover
- Asset turnover = Revenue ÷ Total assets (or capital employed)
- State which asset base you used and use it consistently.
- Gearing ratio (debt to capital employed)
- Gearing = Debt ÷ (Debt + Equity) × 100%
- Debt is usually long-term borrowings, sometimes with preference shares. Equity is share capital plus reserves. State your definition.
- Gearing ratio (debt to equity version)
- Gearing = Debt ÷ Equity × 100%
- This is the same as the debt-to-equity ratio. Some books use the term gearing for this form.
- Debt-to-equity ratio
- Debt-to-equity = Debt ÷ Equity
- Can be shown as a percentage or as a ratio such as 0.5 : 1.
- Interest cover
- Interest cover = Profit before interest and tax (PBIT) ÷ Interest expense
- Shown in times. Use finance costs from the profit and loss account. Higher means safer.
- Converting between the two gearing forms
- Debt ÷ (Debt + Equity) = (D/E) ÷ (1 + D/E)
- For example, D/E of 0.5 gives 0.5 ÷ 1.5 = 33.3%.
- Earnings per share (EPS)
- EPS = (Profit after tax and preference dividends) ÷ (Number of ordinary shares)
- Use the weighted average number of shares if shares were issued during the year. Take out preference dividends and minority interests first.
- Price-earnings ratio
- P/E = Market price per share ÷ EPS
- Answer is in 'times' or years of earnings. Compare with sector or past values.
- Earnings yield
- Earnings yield = EPS ÷ Market price per share = 1 ÷ P/E
- Often shown as a percentage.
- Dividend per share
- DPS = Ordinary dividends ÷ Number of ordinary shares
- Use the dividend for the same year as the EPS.
- Dividend yield
- Dividend yield = DPS ÷ Market price per share × 100%
- Gross of any tax paid by the investor.
- Dividend cover
- Dividend cover = EPS ÷ DPS = Earnings for ordinary shareholders ÷ Ordinary dividends
- Expressed in times. Below 1 means dividends exceed earnings.
- Payout ratio
- Payout ratio = DPS ÷ EPS = 1 ÷ Dividend cover
- Percentage of earnings paid out.
- Net asset value per share
- NAV per share = Net assets attributable to ordinary shareholders ÷ Number of ordinary shares
- Compare with market price to judge market value against book value.
- Net change in cash
- Net change in cash = Operating CF + Investing CF + Financing CF
- Closing cash = opening cash + net change. Cash includes cash equivalents.
- Operating cash flow (indirect method)
- Operating CF = Profit before tax + Depreciation (and other non-cash charges) + Finance costs (if shown under financing) − Investment income (if shown under investing) − Increase in inventory − Increase in receivables + Increase in payables − Tax paid
- Reverse the sign for decreases in working capital items. Keep interest and tax treatment consistent with the statement presented.
- Free cash flow (common simple form)
- Free cash flow = Operating CF − Capital expenditure
- Definitions vary. State which one you use. Some versions also deduct interest paid or tax.
- Cash conversion of profit
- Cash conversion = Operating CF ÷ Profit after tax
- A ratio near or above 1 suggests profit is backed by cash. Judge it over several years, not one.
- Cash interest cover
- Cash interest cover = Operating CF before interest and tax ÷ Interest paid
- Shows ability to service debt from cash rather than from profit.
- Capex coverage
- Capex coverage = Operating CF ÷ Capital expenditure
- A value above 1 means operations fund investment without outside finance.
- Ratio as a comparison
- Ratio = Figure A ÷ Figure B
- Only meaningful if A and B are measured consistently and compared with a suitable benchmark.
- Current ratio
- Current ratio = Current assets ÷ Current liabilities
- Year-end actions such as paying creditors early or delaying payments can change it, which is why it is a common example of window dressing.
- Return on capital employed
- ROCE = Profit before interest and tax ÷ Capital employed
- Affected by historical cost, depreciation policy and inflation.
- Percentage change for trends
- Change % = (This year − Last year) ÷ Last year × 100
- Use to compare movements over time, not just single-year levels.
Quick revision
- Users of accounts include investors, lenders, employees, suppliers, customers, managers and regulators, and each wants different information.
- Gross margin = gross profit ÷ revenue; operating margin = operating profit ÷ revenue.
- Return on capital employed compares operating profit with the capital used; use the definition given in your study material.
- Asset turnover = revenue ÷ assets used, and it shows how well assets generate sales.
- Current ratio = current assets ÷ current liabilities; the quick ratio leaves out inventory.
- Inventory, receivables and payables days show how long working capital is tied up.
- Gearing compares debt with equity or total capital; higher gearing means higher financial risk.
- Interest cover = operating profit ÷ interest, and it shows how safely interest is paid.
- Earnings per share = profit attributable to ordinary shareholders ÷ number of ordinary shares.
- Price earnings ratio = share price ÷ earnings per share.
- Dividend cover = earnings ÷ dividends, and it shows how easily a dividend is paid.
- Profit is not cash; check the cash flow statement for cash from operations, investing and financing.
- Ratios depend on accounting policies, timing, size and industry, so compare like with like.
Common mistakes
- Listing users with no needs attached Fix: Always add the decision each user makes and the information they look at.
- Saying accounts show the true current value of the company Fix: State that many assets are at historical cost or estimates and that market value can differ.
- Using profit after interest in ROCE Fix: ROCE uses profit before interest and tax, as capital employed includes debt.
- Leaving out non-current liabilities from capital employed Fix: Add long-term debt to equity, or subtract current liabilities from total assets.
- Using revenue instead of cost of sales for stock days and creditor days. Fix: Stock and creditors are valued at cost, so match them with cost of sales or purchases. Only debtors match revenue.
- Forgetting to remove stock in the quick ratio. Fix: Write (CA - Stock) explicitly before dividing.
- Mixing up gearing as debt ÷ (debt + equity) with debt ÷ equity. Fix: Read the definition in the question. If none is given, state which form you use. Check that D ÷ E is always larger than D ÷ (D + E).
- Using profit after interest or after tax in interest cover. Fix: Use profit before interest and tax in the numerator. Interest must not already be deducted.
- Forgetting to deduct preference dividends from profit when calculating EPS. Fix: Always write 'earnings for ordinary shareholders' as a separate line: profit after tax less preference dividends (and minority interests if any).
- Using total dividends instead of dividend per share, or dividing by the wrong share count. Fix: Convert everything to per-share or everything to totals before dividing. Check that numerator and denominator are in the same units.
Exam tips
- Always tie each user to a decision. Marks are usually for the link, not for naming the user.
- For limitations, give at least three distinct points: historical basis, estimates and judgement, and omitted non-financial factors.
- In multiple-choice questions, watch for absolute words like always, guarantees or true value. They are usually wrong.
- If a question names one user, answer only for that user. Extra users waste time.
- Use the case details in the question, such as falling cash or high borrowing, to make your answer specific.
- Write the formula before the numbers. Method marks are given even if the arithmetic slips.
- State your definition of profit and capital employed when the question leaves it open.
- Comparison questions need both calculation and reasons. Aim for one explanatory sentence per ratio.