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IAI Actuarial Core Principles · Business Finance

Interpreting company accounting information: formula sheet

Full chapter guide

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.