CFA Level I Exam · Working Capital and Liquidity
Cash Conversion Cycle and Operating Cycle Explained
Updated 7 October 2026 · Fact-checked
The operating cycle is the time from buying inventory to collecting cash from customers: DIO + DSO. The cash conversion cycle (CCC) subtracts the days a firm takes to pay suppliers: CCC = DIO + DSO − DPO. A shorter CCC means less cash is tied up in working capital.
Understand Cash Conversion Cycle and Operating Cycle
Every business that sells goods follows the same loop. It buys or makes inventory, sells it (often on credit), collects cash from the customer, and pays its suppliers. Cash goes out and comes back in. The time this takes decides how much money the firm must finance.
Three measures describe the loop. Days of inventory on hand (DIO) is how long inventory sits before it is sold. Days sales outstanding (DSO), also called days of receivables, is how long customers take to pay. Days payables outstanding (DPO), also called number of days of payables, is how long the firm takes to pay its suppliers.
The operating cycle is DIO + DSO. It runs from the moment inventory is acquired until cash is collected from the sale. It ignores how the purchase was paid for.
The cash conversion cycle (also called the net operating cycle) is the operating cycle minus DPO. Supplier credit lets the firm delay paying cash, so it shortens the period the firm must fund itself. CCC = DIO + DSO − DPO.
A shorter CCC is generally better because less cash is tied up. A CCC can be negative, which means suppliers fund the business for a while. This happens with some large retailers that sell fast and pay suppliers slowly. Always judge the CCC against the firm's own history and its peers, not against a fixed number.
Key formulas to remember
- Days of inventory on hand (DIO)
- DIO = Inventory ÷ (Cost of goods sold ÷ 365)
- Uses COGS, not sales. Use average inventory if the question gives it. Use the number of days the question states, normally 365.
- Days sales outstanding (DSO)
- DSO = Accounts receivable ÷ (Revenue ÷ 365)
- Uses revenue (credit sales if given).
- Days payables outstanding (DPO)
- DPO = Accounts payable ÷ (Purchases ÷ 365)
- Uses purchases. If purchases are not given, the exam usually says to use COGS. Purchases = COGS + ending inventory − beginning inventory.
- Operating cycle
- Operating cycle = DIO + DSO
- Days from acquiring inventory to collecting cash.
- Cash conversion cycle
- CCC = DIO + DSO − DPO
- Also called the net operating cycle. Can be negative.
- Turnover to days
- Days = 365 ÷ Turnover ratio
- Inventory turnover = COGS ÷ inventory; receivables turnover = revenue ÷ receivables; payables turnover = purchases ÷ payables.
How to solve Cash Conversion Cycle and Operating Cycle questions
Use this routine for any question on operating cycle or cash conversion cycle.
- 1Read what is asked: operating cycle, CCC, or one component such as DPO.
- 2Note the day count (365 unless stated) and whether balances are year-end or average.
- 3Compute DIO from inventory and COGS.
- 4Compute DSO from receivables and revenue.
- 5Compute DPO from payables and purchases. If purchases are missing, use COGS only when the question implies it; otherwise derive purchases from COGS and the inventory change.
- 6Add DIO and DSO for the operating cycle.
- 7Subtract DPO to get the CCC.
- 8Check the direction: a longer cycle means more cash tied up. Match your answer to the option that fits.
Quickest way: Turnover shortcut with a calculator
When to use it: When the question gives turnover ratios or simple balances and you need a number in under 90 seconds.
- Write the three days figures directly as 365 ÷ turnover, or balance ÷ flow × 365.
- On the TI BA II Plus, type the balance, press ÷, type the flow, press ×, type 365, press =. Repeat for each component and store with STO 1, STO 2, STO 3 if needed.
- Add and subtract: RCL 1 + RCL 2 − RCL 3 =.
- Before picking an answer, sanity check: CCC should be less than the operating cycle when DPO is positive.
- Eliminate any option that is larger than DIO + DSO, since DPO must reduce the cycle.
Common mistakes in Cash Conversion Cycle and Operating Cycle
Using revenue instead of COGS for DIO or DPO
Students apply one denominator to all three ratios.
Fix: Remember the match: inventory and payables relate to costs (COGS or purchases); receivables relate to revenue.
Adding DPO instead of subtracting it
All three are listed as days, so they look like parts of one sum.
Fix: DPO is financing from suppliers. It shortens the cycle, so it is subtracted.
Confusing operating cycle with cash conversion cycle
Both measure days and share two components.
Fix: Operating cycle = DIO + DSO. CCC = operating cycle − DPO.
Using COGS for DPO when purchases are given
Students default to COGS from the income statement.
Fix: Use purchases whenever the question supplies them or the inventory change to derive them.
Treating a negative CCC as an error
Days sound like they must be positive.
Fix: A negative CCC is possible when DPO exceeds DIO + DSO. It means suppliers finance operations.
Mixing average and ending balances
Some data are year-end, some averaged.
Fix: Use what the question specifies and stay consistent across the three components.
Worked examples
Example 1
A company reports revenue of €730 million, COGS of €511 million, year-end inventory of €70 million, receivables of €100 million and payables of €42 million. Purchases equal COGS. Using 365 days, what is the cash conversion cycle?
Show the solution
- DIO = 70 ÷ (511 ÷ 365) = 70 ÷ 1.4 = 50 days.
- DSO = 100 ÷ (730 ÷ 365) = 100 ÷ 2 = 50 days.
- DPO = 42 ÷ (511 ÷ 365) = 42 ÷ 1.4 = 30 days.
- Operating cycle = 50 + 50 = 100 days.
- CCC = 100 − 30 = 70 days.
Answer: 70 days (the operating cycle is 100 days).
Example 2
A firm has inventory turnover of 8.0, receivables turnover of 10.0 and payables turnover of 12.0, using 365 days. Which is closest to its cash conversion cycle? A) 36 days B) 52 days C) 60 days
Show the solution
- DIO = 365 ÷ 8.0 = 45.625 days.
- DSO = 365 ÷ 10.0 = 36.5 days.
- DPO = 365 ÷ 12.0 = 30.417 days.
- Operating cycle = 45.625 + 36.5 = 82.125 days.
- CCC = 82.125 − 30.417 = 51.708 days, about 52 days.
- Option A (36) is close to DSO alone and C (60) does not match the calculation.
Answer: B) 52 days
Exam tips
- Check which denominator each ratio uses before touching the calculator. Wrong denominators are the most common trap.
- Options are listed smallest to largest. Rule out any CCC option above DIO + DSO, since DPO reduces the cycle.
- Expect conceptual items too: which change shortens the CCC (faster collection, lower inventory, longer payment terms) and what a falling CCC signals.
- If the question gives turnover ratios, divide 365 by each one and skip the balance sheet work.
- Keep unrounded numbers until the last step to avoid landing between options.
Practice questions from Working Capital and Liquidity
- A manufacturer's treasurer says the firm's primary working capital objective is to ensure the company can meet its short-term obligations wh…
- A retailer's cash conversion cycle is currently 45 days. If the retailer negotiates longer payment terms with suppliers, with no other chang…
- A treasurer compares a 90-day Treasury bill with a 90-day commercial paper issue from a highly rated corporation. Compared with the Treasury…
- A firm purchases goods on terms of 2/10, net 40. Assuming a 365-day year, the approximate effective annual cost of forgoing the discount and…
- A company has days of sales outstanding of 45, days of inventory on hand of 60 and days payables outstanding of 30. Management negotiates lo…
Cash Conversion 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.
Cash Conversion Cycle and Operating Cycle: frequently asked questions
What is the cash conversion cycle formula for CFA Level I?
CCC = DIO + DSO − DPO. DIO uses inventory and COGS, DSO uses receivables and revenue, and DPO uses payables and purchases. The result is in days.
What is the difference between the operating cycle and the cash conversion cycle?
The operating cycle is DIO + DSO and ends when cash is collected from customers. The cash conversion cycle subtracts DPO, so it measures the days the firm must finance itself after allowing for supplier credit.
Can the cash conversion cycle be negative?
Yes. If DPO is larger than DIO + DSO, the firm collects from customers before it pays suppliers. That means suppliers are financing part of its operations.
Is a shorter cash conversion cycle always better?
Usually a shorter cycle means less cash is tied up and stronger liquidity. But very low inventory or very tight credit terms can hurt sales, and stretching payables too far can damage supplier relations. Compare with peers and the firm's own trend.