Financial Management · Determining working capital needs and funding strategies

Working Capital Cycle and Cash Operating Cycle Calculation

Updated 11 October 2026 · Fact-checked

The cash operating cycle is the time between paying suppliers for goods and receiving cash from customers. Calculate it as inventory days plus receivables days minus payables days. A longer cycle means more cash is tied up and more funding is needed. Shorten it by cutting inventory or receivables, or by stretching payables.

Understand Working Capital Cycle and Operating Cycle

Every business buys goods or materials, holds them, sells them and collects cash. Cash goes out first and comes back later. The gap between the two is the working capital cycle, also called the cash operating cycle or cash conversion cycle. These terms mean the same thing in ACCA FM.

The cycle has three parts. Inventory days is how long stock sits before it is sold. Receivables days is how long customers take to pay. Payables days is how long you take to pay suppliers. Inventory and receivables lengthen the cycle. Payables shorten it, because supplier credit funds part of the gap.

Why it matters: the longer the cycle, the more cash is tied up in working capital. That cash must be funded, by equity, borrowing or an overdraft, and funding costs money. A lengthening cycle can also be an early warning of liquidity trouble or overtrading.

Some texts use operating cycle for inventory days plus receivables days only, ignoring payables. FM questions usually want the full cash cycle with payables deducted. Read the question wording and show your definition.

In the exam you also interpret the result. Compare it with a prior year or an industry average, say which component changed, and suggest a sensible action.

Key rules to remember

Inventory days: Inventory days = (Inventory ÷ Cost of sales) × 365; For a manufacturer you may split into raw materials (÷ purchases or material usage), WIP and finished goods (÷ cost of sales). Use the cost base the question suggests.
Receivables days: Receivables days = (Trade receivables ÷ Credit sales) × 365; Use credit sales if given. If only total revenue is given, use it and state the assumption.
Payables days: Payables days = (Trade payables ÷ Credit purchases) × 365; If purchases are not given, use cost of sales and state this assumption.
Cash operating cycle: Cash operating cycle = Inventory days + Receivables days − Payables days; Measured in days. Use 365 days unless told otherwise.
Funding tied up: Working capital investment ≈ Net current operating assets = Inventory + Receivables − Payables; Link the cycle to a cash amount to cost the funding.

How to solve Working Capital Cycle and Operating Cycle questions

Use this method for any working capital cycle question, whether it is an objective test item or a written part.

1Read the question for the cost bases given: cost of sales, credit sales, credit purchases. Note the days in the year.
2Pick the right base for each ratio. Inventory uses cost of sales (or purchases for raw materials), receivables uses credit sales, payables uses credit purchases.
3Calculate inventory days, receivables days and payables days, keeping the figures unrounded until the end.
4Compute the cycle: inventory days + receivables days − payables days.
5If asked for a change, calculate the cycle for both periods and find the difference component by component.
6Interpret: say whether the cycle lengthened or shortened, which item drove it, and what it means for funding and liquidity.
7If asked for the financing effect, multiply the change in funds tied up by the cost of finance.

Quickest way: Days from the balance sheet in three lines

When to use it: Objective test questions where you have a few seconds per mark and only need the cycle length or one component.

Write the three days formulas in the form balance ÷ flow × 365 and fill them in one line each.
Add the first two, subtract the third, and round only at the end.
Check the sign: payables days must be deducted. A negative cycle is possible but check the logic.
Scan the options for the one using the correct cost base. Wrong answers often use revenue for inventory or payables.

Common mistakes in Working Capital Cycle and Operating Cycle

Using revenue instead of cost of sales for inventory days.
Revenue is the first figure in the income statement and students grab it.
Fix: Inventory is held at cost, so divide by cost of sales. Only use revenue if the question gives nothing else, and say so.
Adding payables days instead of subtracting them.
All three figures are called days, so students just add them.
Fix: Remember payables are supplier credit that reduces the cash you must fund. Write the formula with the minus sign before you start.
Using total sales when credit sales are given.
Students do not read the data carefully.
Fix: Receivables arise only from credit sales. Use credit sales if stated.
Mixing year-end and average balances between periods.
One year has an average and the other only a closing figure.
Fix: Use the same basis for every period you compare, and state which you used.
Giving a number with no interpretation.
Students treat the calculation as the whole answer.
Fix: Always add a line on what changed, why it matters for funding or liquidity, and one practical action.

Worked examples

Example 1

A company has the following figures for the year: revenue ₹12,00,000 (all on credit), cost of sales ₹8,00,000, purchases ₹6,00,000 (all on credit), inventory ₹1,60,000, trade receivables ₹2,00,000, trade payables ₹1,00,000. Calculate the cash operating cycle using 365 days.

Show the solution

Inventory days = 1,60,000 ÷ 8,00,000 × 365 = 73 days.
Receivables days = 2,00,000 ÷ 12,00,000 × 365 = 60.83 days.
Payables days = 1,00,000 ÷ 6,00,000 × 365 = 60.83 days.
Cycle = 73 + 60.83 − 60.83 = 73 days.

Answer: The cash operating cycle is 73 days.

Example 2

Last year a company had inventory days of 50, receivables days of 45 and payables days of 40. This year the figures are: cost of sales ₹9,00,000, credit sales ₹12,00,000, credit purchases ₹7,20,000, inventory ₹1,35,000, receivables ₹1,80,000, payables ₹1,08,000. Calculate this year's cycle, compare it with last year and comment. Use 365 days.

Show the solution

Last year's cycle = 50 + 45 − 40 = 55 days.
This year inventory days = 1,35,000 ÷ 9,00,000 × 365 = 54.75 days.
Receivables days = 1,80,000 ÷ 12,00,000 × 365 = 54.75 days.
Payables days = 1,08,000 ÷ 7,20,000 × 365 = 54.75 days.
This year's cycle = 54.75 + 54.75 − 54.75 = 54.75 days.
Change = 54.75 − 55 = 0.25 days shorter, which is almost unchanged.
All three components rose: inventory days by 4.75 (50 to 54.75), receivables days by 9.75 (45 to 54.75) and payables days by 14.75 (40 to 54.75). The rise in payables days almost exactly offsets the rises in the other two: +4.75 + 9.75 − 14.75 = −0.25 days.

Answer: The cycle is 54.75 days, against 55 last year, so it is essentially unchanged. However, all three components rose. The company is holding stock longer and collecting from customers more slowly, and the offset comes only from taking much longer to pay suppliers. This may strain supplier relations, which is a possible risk rather than something the data proves. Management should tighten credit control and inventory levels rather than rely on stretching payables.

Exam tips

Check which cost base each ratio uses and state any assumption in a written answer. Markers reward a stated assumption.
In objective tests the distractors usually come from the wrong base or from adding payables. Check the formula before choosing.
In Section C, always interpret: which component changed, what it means for funding, and a recommendation. The calculation alone earns only part of the marks.
Do not round days early. Round at the end, and keep one or two decimals unless told otherwise.
If a question asks for the cost of financing a longer cycle, convert the change in days into a cash amount and multiply by the interest rate.

Practice questions from Determining working capital needs and funding strategies

Working Capital Cycle and Operating Cycle in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Working Capital Cycle and Operating Cycle: frequently asked questions

Is the operating cycle the same as the cash conversion cycle?

In ACCA FM they are treated as the same measure: inventory days plus receivables days minus payables days. Some books define the operating cycle without deducting payables days. Read the question and state the definition you use.

Should I use 365 or 360 days?

Use 365 unless the question tells you otherwise. Be consistent across all periods and ratios in the same answer.

Can the cash operating cycle be negative?

Yes. If a business collects cash from customers before it pays suppliers, such as a supermarket, payables days can exceed inventory plus receivables days. This means suppliers help fund the business.

What if the question gives no credit sales or purchases?

Using revenue as a proxy for credit sales and cost of sales as a proxy for credit purchases is a reasonable fallback. State the assumption clearly. Check the question wording, because what the marker expects depends on the data given.