Ratios turn a page of figures into a diagnosis. They let you compare one year with another, one company with another and a company with its industry, without being misled by size. This topic sets out every ratio you are likely to need, with its formula, what it tells you and how to read it, followed by a full worked example.
In 30 seconds
Ratios fall into five groups: profitability, liquidity, efficiency or activity, long-term solvency or gearing, and investment. Write the formula, calculate it for each year, compare with the industry and then explain what the movement means. Never present a ratio without a comment. The operating cycle links liquidity and efficiency: days in inventory plus days in receivables, less days in payables, gives the net operating cycle.
What ratios are and how they are grouped
A ratio is the relationship between two connected figures in the financial statements. Ratios remove the problem of comparing absolute figures. You can use them to compare performance over two or more periods, to compare a company with another in the same industry and to compare it with the industry average.
Ratios can be described by how they are built. A coverage ratio shows ability to meet obligations, such as interest cover. A return ratio compares the benefit earned with the resources committed, such as return on investment. A turnover ratio shows how many times a resource is used to generate benefit, such as inventory turnover. A component percentage relates one part to the whole, such as gross profit to sales.
| Group | Question it answers |
|---|---|
| Profitability | How much profit is made from revenue and from capital invested? |
| Liquidity | Can the business pay its day-to-day debts as they fall due? |
| Efficiency or activity | How well are assets used to generate sales? |
| Long-term solvency or gearing | How is the business financed, and can it meet its fixed financing obligations? |
| Investment | What can shareholders expect to earn? |
Profitability ratios
| Ratio | Formula | What it shows |
|---|---|---|
| Return on capital employed (ROCE) | Profit before interest and tax (PBIT) ÷ (share capital and reserves + non-current liabilities) × 100. Capital employed also equals total assets less current liabilities | Profit as a percentage of the capital invested |
| Return on equity (ROE) | Profit after interest, tax and preference dividend ÷ (ordinary share capital + reserves) × 100 | Return to ordinary shareholders |
| Gross profit margin | Gross profit ÷ sales × 100 | Margin on direct costs |
| Net profit margin | Net profit ÷ sales × 100 | Margin after all costs |
ROCE can be split into two parts: ROCE = (PBIT ÷ sales) × (sales ÷ net assets). In words, return depends on the profit margin and on how hard the assets work. A company can raise ROCE by earning more on each naira of sales, by selling more from the same assets, or both.
The November 2015 Pathfinder solution calls profit before interest and tax divided by revenue the net margin. We call that the operating profit margin and keep net profit margin for profit after tax divided by revenue. Its current ratio also divides by 102.67 where current liabilities are 105.67, though the answer rounds to 0.5 to 1 either way. The Pathfinder solution is slightly different from ours.
Liquidity ratios
| Ratio | Formula | What it shows |
|---|---|---|
| Current ratio | Current assets ÷ current liabilities | Cover for short-term obligations |
| Quick assets ratio | (Current assets − inventories) ÷ current liabilities | A tougher test, because inventory may not turn into cash quickly |
| Absolute liquid ratio | Cash, bank, marketable securities and short-term deposits ÷ current liabilities | Cash position. Also called the cash position or overdue liability ratio |
Net working capital is current assets less current liabilities. In general the higher these ratios, the better the ability to pay short-term debts. But balance matters. Too much cash tied up in working capital is idle money that earns nothing. Too little risks creditors taking action.
Under the Companies and Allied Matters Act 2020, the court may wind up a company that is unable to pay its debts (section 571(d)). A company is deemed unable to pay if a creditor owed more than the stated amount makes a written demand and the company neglects to pay for three weeks (section 572(a)).
The amount was ₦200,000 when the Act was passed and is now set by Corporate Affairs Commission regulations. Liquidity and profitability must be balanced to stay in business.
The operating cycle
The operating cycle is the time it takes to turn money invested in inventory back into cash. For a manufacturer it has four phases: buy materials and make goods, sell from inventory, extend credit to customers and collect from them. A trader skips the first phase. A service business has only the last two.
| Measure | Formula |
|---|---|
| Days in inventory | Inventory ÷ (cost of sales ÷ 365) |
| Days in receivables | Receivables ÷ (credit sales ÷ 365) |
| Days in payables | Payables ÷ (purchases ÷ 365) |
| Operating cycle | Days in inventory + days in receivables |
| Net operating cycle | Days in inventory + days in receivables − days in payables |
| Net working capital to sales | (Current assets − current liabilities) ÷ sales |
Use closing balances if they represent the year. Use the average of opening and closing balances if you want a more representative figure, and say which you used. Take 365 days unless told otherwise. The longer the net operating cycle, the more working capital the business needs, because cash is locked up for longer.
Efficiency or activity ratios
| Ratio | Formula |
|---|---|
| Total asset turnover | Sales ÷ total assets |
| Net asset turnover | Sales ÷ net assets (capital employed) |
| Non-current asset turnover | Sales ÷ non-current assets |
| Inventory turnover | Cost of sales ÷ average inventory |
| Inventory holding period | Average inventory ÷ cost of sales × 365 |
| Trade receivables turnover | Credit sales ÷ average trade receivables |
| Receivables collection period | Average trade receivables ÷ credit sales × 365 |
A higher turnover means the assets are working harder. The days measures and the turnover measures use the same data. If inventory is held for 45 days, turnover is 365 ÷ 45, which is about 8.1 times a year.
Long-term solvency and gearing ratios
| Ratio | Formula | What it shows |
|---|---|---|
| Capital gearing | (Preference share capital + non-current liabilities) ÷ (share capital and reserves + non-current liabilities) | How much long-term funding comes from lenders |
| Debt to equity | Debt ÷ equity | Debt relative to owners’ capital |
| Interest cover | PBIT ÷ interest payable | How many times profit could pay the interest |
Investment ratios
| Ratio | Formula | What it shows |
|---|---|---|
| Earnings per share (EPS) | (Profit after tax and preference dividend ÷ ordinary shares in issue) × 100, in kobo | Profit for each ordinary share |
| Price earnings (P/E) ratio | Market price per share ÷ EPS | Years of earnings needed to recover the share price if earnings stay constant |
| Dividend cover | Profit after tax and preference dividend ÷ ordinary dividend | How many times the dividend could be paid from profit |
| Dividend yield | Dividend per share ÷ market price × 100 | Dividend as a percentage of the share price |
Worked example
Scenario (fictitious figures, ₦ million). Okafor Plastics Ltd has revenue of 1,000, all on credit, and cost of sales of 700. Expenses are 240, interest is 20 and tax is 12, so profit after tax is 28. There is no preference share capital. Equity is 300, a long-term loan is 200 and current liabilities are 250, of which payables are 140. Non-current assets are 350. Inventory is 140, receivables 240 and cash 20.
There are 200 million ordinary shares, the market price is ₦1.80 and dividends paid are 12. Assume purchases equal cost of sales.
| Ratio | Working | Result |
|---|---|---|
| Gross profit margin | 300 ÷ 1,000 | 30.0% |
| Operating profit margin | 60 ÷ 1,000 | 6.0% |
| Net profit margin | 28 ÷ 1,000 | 2.8% |
| ROCE | 60 ÷ (300 + 200) | 12.0% |
| ROE | 28 ÷ 300 | 9.3% |
| Current ratio | 400 ÷ 250 | 1.60 |
| Quick ratio | (400 − 140) ÷ 250 | 1.04 |
| Absolute liquid ratio | 20 ÷ 250 | 0.08 |
| Days in inventory | 140 ÷ 700 × 365 | 73.0 days |
| Days in receivables | 240 ÷ 1,000 × 365 | 87.6 days |
| Days in payables | 140 ÷ 700 × 365 | 73.0 days |
| Net operating cycle | 73.0 + 87.6 − 73.0 | 87.6 days |
| Total asset turnover | 1,000 ÷ 750 | 1.33 times |
| Net asset turnover | 1,000 ÷ 500 | 2.0 times |
| Inventory turnover | 700 ÷ 140 | 5.0 times |
| Capital gearing | 200 ÷ (300 + 200) | 40.0% |
| Debt to equity | 200 ÷ 300 | 66.7% |
| Interest cover | 60 ÷ 20 | 3.0 times |
| EPS | 28 ÷ 200 million shares | 14 kobo |
| P/E ratio | 180 kobo ÷ 14 kobo | 12.9 |
| Dividend cover | 28 ÷ 12 | 2.3 times |
| Dividend yield | 6 kobo ÷ 180 kobo | 3.3% |
Check ROCE with the split: operating margin 6% × net asset turnover 2.0 = 12%.
Commentary. Profitability is weak: a 6% operating margin and a 12% ROCE. Efficiency is also a concern, because customers take almost 88 days to pay, which ties up cash even though suppliers are paid at the same pace as stock is sold. Liquidity is acceptable on the current ratio but thin on the quick ratio, and cash is only 8% of current liabilities.
Gearing is moderate at 40%, and interest cover of three times leaves limited room if profit falls. Shareholders receive a small yield, and the dividend is covered 2.3 times. The priority is to shorten the collection period and improve the margin.
Choosing the right ratios
The requirement tells you which ratios matter. Match the question to the group instead of calculating everything.
| The requirement asks | Use these ratios |
|---|---|
| Is the business profitable? | Gross, operating and net margins, ROCE and ROE |
| Can it pay its bills? | Current, quick and absolute liquid ratios and the net operating cycle |
| Does it use its assets well? | Asset turnover, inventory days and receivables days |
| Can it borrow more? | Capital gearing, debt to equity and interest cover |
| Is it a good investment? | EPS, P/E ratio, dividend cover and dividend yield |
| Should we buy it? | A selection from every group, compared with the industry and with peers |
Worked example: two years side by side
Scenario (fictitious figures). Bello Foods Ltd shows these ratios. Comment on them for the board.
| Ratio | Year 1 | Year 2 |
|---|---|---|
| Gross profit margin | 32% | 28% |
| Operating profit margin | 11% | 7% |
| Current ratio | 1.8 | 1.2 |
| Days in receivables | 40 | 62 |
| Days in inventory | 50 | 71 |
| Capital gearing | 25% | 38% |
| Interest cover | 6.0 times | 2.9 times |
Profitability. Gross margin fell four points and operating margin fell four points, so the loss of margin came from direct costs and was not recovered by savings elsewhere. Efficiency. Customers now take 22 days longer to pay and stock stays 21 days longer, so more cash is locked into working capital. Liquidity. The current ratio fell from 1.8 to 1.2, which fits that picture.
Gearing. Gearing rose from 25% to 38%, which suggests that borrowing has paid for the extra working capital, and interest cover has halved to 2.9 times. Conclusion. The business is growing its balance sheet faster than its profit and is becoming more exposed to a profit shock. The board should tighten credit control, cut slow stock and review pricing before it borrows more.
Interpreting ratios in a report
- Define the ratio you use and say whether you used closing or average balances.
- Calculate it for every year given, and set the industry figure beside it if one is supplied.
- Discuss groups in order and do not mix them.
- Explain the cause from the facts in the case, then the effect and the action.
- Put the calculations in an appendix and the key figures and comments in the body.
A useful sentence pattern is: the [ratio] moved from [x] to [y], against an industry figure of [z]. This is because [cause from the case], which means [effect on the business], so management should [action]. Use it for each important ratio and the report will always contain a comparison, a cause, a consequence and a recommendation.
Limits of ratio analysis
Ratios are a starting point, and their limits should be stated in a report. Most of the checks below take only a line or two.
- Year-end balances. A statement of financial position shows one day. Seasonal businesses can look very different at other times, so say so, or use averages where the case gives opening balances.
- Different accounting policies. Depreciation, inventory valuation and revaluation affect profit and assets. Be careful when comparing companies that use different policies.
- One-off items. A gain on disposal or an exceptional cost distorts margins and returns. Adjust for it, or at least comment on it.
- Different definitions. Industry figures may be calculated differently from yours. State your formula and use theirs when they give it.
- Backward-looking. Ratios describe the past. Link them to the forecast and the strategy before you draw conclusions about the future.
Common mistakes
- Calculating ratios the requirement does not need. Choose the ones that answer the question.
- Quoting a ratio without a comparison or a comment.
- Using total sales for receivables days when credit sales are given.
- Confusing gearing measures, such as debt to equity and capital gearing, and not stating which one is used.
- Mislabelling ratios, such as calling an operating margin a net margin.
- Treating a high current ratio as always good, when it may signal idle cash or slow stock.
Quick revision
- Five groups: profitability, liquidity, efficiency, gearing, investment.
- ROCE = PBIT ÷ (equity + non-current liabilities) = margin × net asset turnover.
- Quick ratio removes inventory. Net operating cycle = inventory days + receivable days − payable days.
- Gearing: capital gearing, debt to equity, interest cover.
- Investment: EPS, P/E, dividend cover, dividend yield.
- Always compare, explain and recommend.
Practice questions
These are original questions in the style of the Institute of Chartered Accountants of Nigeria exam. Try each one before you open the answer.
Question 1. PBIT is ₦90 million, equity is ₦400 million and non-current liabilities are ₦200 million. ROCE is:
- 9%
- 15%
- 22.5%
- 45%
Show the answer
B. 90 ÷ (400 + 200) = 15%.
Question 2. Current assets are ₦360 million including inventory of ₦120 million. Current liabilities are ₦200 million. The quick ratio is:
- 0.6
- 1.2
- 1.8
- 3.0
Show the answer
B. (360 − 120) ÷ 200 = 1.2.
Question 3. Inventory is ₦90 million and cost of sales is ₦730 million. Days in inventory, to the nearest day, is:
- 30
- 45
- 60
- 81
Show the answer
B. 90 ÷ 730 × 365 = 45 days, which equals turnover of about 8.1 times.
Question 4. PBIT is ₦150 million and interest is ₦30 million. Interest cover is:
- 0.2 times
- 4 times
- 5 times
- 6 times
Show the answer
C. 150 ÷ 30 = 5 times.
Question 5. The market price is ₦2.40 and EPS is 20 kobo. The P/E ratio is:
- 8
- 10
- 12
- 14
Show the answer
C. 240 kobo ÷ 20 kobo = 12.
Question 6 (6 marks). A company holds inventory for 60 days, collects from customers in 75 days and pays suppliers in 50 days. Calculate the net operating cycle and explain what it means for working capital.
Model answer
Show the model answer to Question 6
Calculation (2 marks). Operating cycle = 60 + 75 = 135 days. Net operating cycle = 135 − 50 = 85 days.
Meaning (4 marks). Cash is tied up for 85 days between paying suppliers and collecting from customers. (1) The business must finance that gap through working capital, so a longer cycle needs more working capital. (1) Shortening the cycle, by faster collection, lower inventory or longer supplier credit, would release cash. (1) Longer supplier credit should be agreed carefully so that supplier relationships are protected. (1)
The next topic covers financial statements analysis in the Case Study: method, report and worked cases.
Pathfinder on The ratio analysis toolkit for the Case Study
These are the ICAN Pathfinder questions that test this topic. ICAN owns the questions and the suggested solutions, so we point you to them and do not copy them. Open your Pathfinder, attempt each question under exam conditions, then check your answer against the notes above.
The case supplies industry figures for return on assets, return on equity, net profit margin, debt to equity, receivable days, asset turnover and per-share figures. Calculate each one and compare it.
Revise first: What ratios are and how they are grouped
The appendix uses return on equity, margins, current ratio, inventory and payable days and gearing. Use the cycle section to rebuild the days measures.
Revise first: The operating cycle
The solution uses gross, operating and cash-flow measures per subscriber, plus ROCE, current ratio and gearing. Compare it with the profitability and gearing sections.
Revise first: Profitability ratios
Source: ICAN Pathfinder, Case Study. Diets covered: November 2014, May 2015 and November 2015.
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