Suppose a company buys materials today. It holds them for some weeks, turns them into goods over some more, keeps the goods on the shelf until they sell, and then waits for the customer to pay. Meanwhile its own supplier will be paid, after a credit period.
The number of days between paying the supplier and being paid by the customer is the time for which the company must find the money itself. This is the cash operating cycle, and it is the best single measure of how much working capital a business needs.
This topic explains how to calculate it for a manufacturer, the ratios that make it up, the liquidity ratios and the sales-to-working-capital ratio that judge the position, and overtrading, the dangerous condition of a company that grows faster than its funding. The next topic covers inventory management and the economic order quantity.
These calculations are the core of working capital questions. In November Diet, 2025, Question 2 (20 marks), a distributor’s working capital cycle was calculated as 107 days, recalculated at 41 days on the directors’ targets and the cash released was computed; in May Diet, 2026, Question 1 (30 marks), inventory, receivables and payables days were calculated and appraised for a company showing signs of overtrading. Read working capital: nature, elements and objectives first.
In 30 seconds
The cash operating cycle (working capital cycle) is the average time from paying suppliers to receiving cash from customers: inventory days + receivables days − payables days. For a manufacturer, inventory days = raw materials + work in progress + finished goods. Inventory days = average inventory ÷ cost of sales × 365 (raw materials on purchases); receivables days = average receivables ÷ sales × 365; payables days = average payables ÷ purchases × 365. A shorter cycle means a lower investment in working capital.
Liquidity is judged by the current ratio (benchmark about 2:1) and the quick ratio (benchmark about 1:1), and use of working capital by sales ÷ net working capital. Overtrading is trying to support too large a volume of trade with too little long-term capital.
The cash operating cycle
The cash operating cycle, also called the working capital cycle, is the average length of time, usually in days, from the cash outflow to suppliers for goods and services to the cash inflow from customers for sales. It begins when cash is spent on raw materials and ends when cash is received from customers. A shorter cycle means cash is recovered faster and the investment in working capital is lower.
It differs between businesses: a supermarket sells for cash before it pays its suppliers, so its cycle is short, while a manufacturer holds materials, converts them and sells on credit, so its cycle is longer. The cycle has three elements: the credit period taken from suppliers (payables days), the time inventory is held (inventory days) and the credit period given to customers (receivables days).
| Manufacturer | Days |
|---|---|
| Raw materials holding period | xx |
| Work in progress holding period | xx |
| Finished goods holding period | xx |
| Receivables collection period | xx |
| Less: payables payment period | (xx) |
| Cash operating cycle | xx |
For other businesses the inventory period is not split. The factors that influence its length are the terms of trade, the efficiency of management, the industry and the company’s policy on the working capital objectives.
The component ratios
- Raw materials holding period = average raw materials ÷ annual raw material purchases × 365.
- Work in progress holding period = average work in progress ÷ annual cost of sales × 365.
- Finished goods holding period = average finished goods ÷ annual cost of sales × 365.
- Average collection period = average trade receivables ÷ annual sales × 365, the credit actually taken by customers.
- Average payment period = average trade payables ÷ annual purchases × 365, which should be near the normal terms in the industry.
Average balances (opening plus closing, divided by two) are preferred, because the year-end figure may not be representative; if only the closing figure is known it is used, with the assumption stated. A low inventory period suggests good control. Where credit sales are only part of sales, use credit sales.
A worked cycle: Lagos Plastics Ltd
Sales are ₦480m, all on credit; cost of sales ₦336m; raw material purchases ₦210m, all on credit. Average balances: raw materials ₦28m, work in progress ₦21m, finished goods ₦42m, receivables ₦63m and payables ₦35m.
| Component | Working | Days |
|---|---|---|
| Raw materials | 28 ÷ 210 × 365 | 48.7 |
| Work in progress | 21 ÷ 336 × 365 | 22.8 |
| Finished goods | 42 ÷ 336 × 365 | 45.6 |
| Receivables | 63 ÷ 480 × 365 | 47.9 |
| Payables | 35 ÷ 210 × 365 | (60.8) |
| Cash operating cycle | 104.2 |
If the industry average is 95 days, the company is 9 days longer. Each day of sales is worth ₦480m ÷ 365 = ₦1.32m, so cutting receivables days by 10 would release about ₦13.2m of cash.
Working capital ratios
Liquidity ratios
Liquidity ratios use closing balances. They help to spot cash flow difficulties, and a higher ratio is assumed to be better, although a very high ratio may mean working capital is not used efficiently. The benchmarks are general and should be compared with the industry and with past years.
- Current ratio = current assets ÷ current liabilities. The usual benchmark is about 2:1, meaning current liabilities can be paid twice over.
- Quick ratio (acid test) = (current assets − inventory) ÷ current liabilities. It assumes inventory is not easily turned into cash. The usual benchmark is about 1:1.
Sales revenue to net working capital
Also called the working capital turnover ratio, it is sales revenue ÷ working capital and shows how well the investment in working capital generates sales. A falling ratio may mean working capital is too large for the sales, or inefficiently used.
Lagos Plastics:
- current assets are inventory 91 (28 + 21 + 42), receivables 63 and cash 12, a total of ₦166m
- current liabilities are payables ₦35m and an overdraft of ₦45m, a total of ₦80m.
The current ratio is 166 ÷ 80 = 2.08 - the quick ratio is (166 − 91) ÷ 80 = 0.94
- working capital is ₦86m and sales ÷ working capital is 480 ÷ 86 = 5.6 times
The current ratio looks healthy but the quick ratio is below 1 because so much is held in inventory.
Overtrading
Overtrading happens when a business tries to do too much, too quickly, with too little long-term capital: it supports too large a volume of trade with the capital resources it has. The characteristics are:
- a rapid increase in revenue;
- an increase in receivables and payables days;
- a significant fall in the liquidity ratios; and
- most of the increase in assets financed by credit (suppliers and an overdraft).
Example: sales rise from ₦300m to ₦420m (+40%) and ₦600m (+43%). Current assets rise from ₦140m to ₦190m and ₦260m, but current liabilities rise from ₦70m to ₦150m and ₦270m. The current ratio falls from 2.0 to 1.27 and then 0.96, working capital falls from ₦70m to ₦40m and then −₦10m, while payables days rise and the overdraft grows. The company is selling more and running out of money.
The remedy is more long-term finance, slower expansion, or tighter control of inventory and receivables.
The opposite condition is over-capitalisation: excessive investment in current assets, shown by rising inventory, a rising receivables period, a high cash balance and fewer payables. The working capital is then larger than needed and profit is lower than it could be.
The ideas in more depth
Why the business cycle is longer than the cash cycle
The business cycle runs from obtaining goods from suppliers to selling them to customers and collecting cash; it is the full period in days (here 165). The supplier’s credit pays for part of it (60.8 days), and the company must fund the rest. Lengthening supplier credit shortens the cash cycle at no cost to the company, but only within the credit the supplier actually allows.
Why the ratios must be read together
A current ratio of 2 with a quick ratio of 0.94 shows that liquidity depends on inventory. A long cash cycle with a fast-growing sales figure suggests overtrading. No ratio is a verdict: each points to a question about policy and trading that management must answer.
Sources and references
- No accounting standard governs these ratios. They are management measures and the definitions vary, so state the formula and the assumptions you use (average or closing balances; credit sales; the 365-day year).
These points are stated as at 5 November 2026.
Worked examples
Example 1: receivables days. Average receivables ₦63m; sales ₦480m all on credit. Required: the collection period.
- Days.
63 ÷ 480 × 365 = 47.9 days.
Example 2: the cycle. Raw materials 48.7, work in progress 22.8, finished goods 45.6, receivables 47.9, payables 60.8 days. Required: the cash operating cycle.
- Inventory and receivables.
48.7 + 22.8 + 45.6 + 47.9 = 165.0 days. - Cycle.
165.0 − 60.8 = 104.2 days.
Example 3: liquidity. Current assets ₦166m (including inventory ₦91m); current liabilities ₦80m. Required: the current and quick ratios.
- Current ratio.
166 ÷ 80 = 2.08. - Quick ratio.
(166 − 91) ÷ 80 = 0.94.
How to answer in the exam
- Write the formula for each component and state whether you use average or closing balances and credit sales.
- Show every component and the total in a table, with payables deducted.
- Comment against the industry, previous years and the policy changes, and name the likely causes and cures.
- For overtrading, list the signs found in the figures: growth, days, ratios and financing.
Common mistakes in the exam
- Adding payables days instead of deducting them.
- Using sales for inventory days instead of cost of sales (or purchases for raw materials).
- Forgetting that only credit sales belong in receivables days.
- Quoting a ratio without comparing it with a benchmark or trend.
- Confusing overtrading with over-capitalisation.
- Ignoring the assumptions when only year-end balances are given.
Quick revision
- Cycle = inventory days + receivables days − payables days.
- Inventory on cost of sales (raw materials on purchases); receivables on sales; payables on purchases; × 365.
- Current ratio about 2:1; quick ratio about 1:1; sales ÷ working capital shows efficiency.
- Overtrading: fast growth, longer credit days, falling liquidity, asset growth funded by credit.
Practice questions
These are original questions written in the style of the Institute’s exams. Try each one before you open the answer. Section A is a recall check, because the paper itself is written.
Recall check: multiple choice
Question 1. The cash operating cycle is:
- Payables days + receivables days
- Sales ÷ inventory
- Inventory days + receivables days − payables days
- Inventory days only
Show the answer
C. It is the period the company funds itself.
Question 2. A shorter cash operating cycle means:
- A larger investment in working capital
- A smaller investment in working capital
- Lower sales
- Higher inventory
Show the answer
B. Cash is recovered faster.
Question 3. Finished goods holding period is:
- Average finished goods ÷ cost of sales × 365
- Receivables ÷ sales × 365
- Payables ÷ purchases × 365
- Sales ÷ inventory
Show the answer
A. It is based on cost of sales.
Question 4. Average collection period is:
- Payables ÷ purchases × 365
- Inventory ÷ cost of sales × 365
- Cash ÷ sales
- Average trade receivables ÷ sales × 365
Show the answer
D. It shows the credit customers actually take.
Question 5. Payables days are calculated on:
- Sales
- Purchases
- Profit
- Cash
Show the answer
B. Average trade payables ÷ purchases × 365.
Question 6. The quick ratio is:
- (Current assets − inventory) ÷ current liabilities
- Current assets ÷ current liabilities
- Inventory ÷ sales
- Cash ÷ equity
Show the answer
A. It excludes slow-moving inventory.
Question 7. The usual benchmark for the current ratio is about:
- 0.5:1
- 1:1
- 2:1
- 10:1
Show the answer
C. Compare with the industry and with past years.
Question 8. Overtrading is:
- Trading too little
- Holding too much cash
- Selling only for cash
- Supporting too large a volume of trade with too little long-term capital
Show the answer
D. Growth outruns the funding.
Question 9. A sign of overtrading is:
- Falling sales
- Rising cash
- Rapid sales growth with falling liquidity ratios
- Falling receivables days
Show the answer
C. Together with rising payables and receivables days.
Question 10. Over-capitalisation means:
- Excessive investment in current assets
- Too little cash
- Too many loans
- Too few shares
Show the answer
A. The working capital is larger than needed.
Section B style: written questions
Question 11 (10 marks). (a) Define the cash operating cycle and state its three elements. (4 marks) (b) State the formulas for receivables days and payables days. (4 marks) (c) State why a shorter cycle is generally preferred. (2 marks)
Question 12 (15 marks). Sigma Ltd has sales of ₦600m, cost of sales ₦420m and raw material purchases ₦280m, all on credit. Average balances are raw materials ₦35m, work in progress ₦28m, finished goods ₦42m, receivables ₦90m and payables ₦56m. (a) Calculate each component in days. (9 marks) (b) Calculate the cash operating cycle. (3 marks) (c) Calculate the cash released by cutting receivables by 10 days. (3 marks)
A further written question
Question 13 (20 marks). Over three years a company’s figures (₦m) were: sales 250, 340 and 470; current assets 110, 150 and 205; current liabilities 55, 105 and 190. Receivables days rose from 40 to 52 and 60, and payables days from 35 to 58 and 80, while the overdraft grew each year.
(a) Calculate the current ratio and working capital for each year. (6 marks) (b) Calculate the growth in sales each year and sales ÷ working capital each year. (6 marks) (c) Identify the signs of overtrading. (5 marks) (d) Recommend TWO actions. (3 marks)
Model answers
Show the model answer to Question 11
(a) The average time from paying suppliers to receiving cash from customers (2). Elements: inventory holding period; receivables collection period; payables payment period (2).
(b)
- Receivables days = average receivables ÷ sales × 365 (2)
- payables days = average payables ÷ purchases × 365 (2).
(c) Cash is recovered faster, so less must be invested in and funded for working capital (2).
Show the model answer to Question 12
(a)
- Raw materials 35 ÷ 280 × 365 = 45.6 days (2)
- work in progress 28 ÷ 420 × 365 = 24.3 (2)
- finished goods 42 ÷ 420 × 365 = 36.5 (2)
- receivables 90 ÷ 600 × 365 = 54.8 (2)
- payables 56 ÷ 280 × 365 = 73.0 (1).
(b) 45.6 + 24.3 + 36.5 + 54.8 − 73.0 = 88.2 days (3).
(c) ₦600m ÷ 365 × 10 = ₦16.4m (3).
Show the model answer to Question 13
(a)
- Current ratio.
110 ÷ 55 = 2.00 - 150 ÷ 105 = 1.43
- 205 ÷ 190 = 1.08 (3).
- Working capital: ₦55m, ₦45m and ₦15m (3).
(b)
- Sales growth.
340 ÷ 250 − 1 = 36.0% - 470 ÷ 340 − 1 = 38.2% (3).
- Sales ÷ working capital.
250 ÷ 55 = 4.5 - 340 ÷ 45 = 7.6
- 470 ÷ 15 = 31.3 (3).
(c) Rapid sales growth (1); rising receivables and payables days (1); a sharp fall in the current ratio and working capital (1); sales growing far faster than working capital, as the ratio shows (1); assets increasingly financed by suppliers and the overdraft (1).
(d) Raise long-term finance such as equity or a term loan (1.5); slow expansion and tighten credit control and inventory (1.5).
Pathfinder on The cash operating cycle, working capital ratios and overtrading
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.
Part (a) asks for the working capital cycle in days from the actual figures (4 marks) and from the directors’ hypothetical figures (4 marks); part (c) asks for the cash released by the new policies (3 marks).
Revise first: The cash operating cycle
Part (a) asks for inventory, receivables and payables days for two years, with assumptions and a critical appraisal of the ratios (15 marks); the scenario also describes a company that is overtrading.
Revise first: Working capital ratios
Source: ICAN Pathfinder, Financial Management. Diets covered: Every diet in the Pathfinder, November Diet, 2025 and May Diet, 2026, was reviewed here. The diets listed above test this topic directly..
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