Working Capital Cycle Calculator: Operating and Cash Conversion Cycle
The working capital cycle is the number of days between paying for stock and collecting the cash from selling it. It is the figure a bank's credit officer converts a CMA pack into before reading anything else, because the holding periods in Form IV of that pack are exactly the inventory days, receivable days and payable days that make up the cycle. A longer cycle means more money is locked up in the business at any moment, and it is the reason two businesses with the same turnover can need very different limits.
The arithmetic is definitional. Inventory days is average inventory over cost of goods sold, times 365. Receivable days is average receivables over revenue, times 365. Payable days is average payables over cost of goods sold, times 365. The operating cycle is inventory days plus receivable days, and the cash conversion cycle is the operating cycle less payable days, because supplier credit funds part of the wait. The ICAI Financial Management study material sets out the same definitions, and the Reserve Bank's turnover method, which sizes working capital at 25 percent of projected turnover, is a rough proxy for a cycle of about 90 days.
Two conventions matter when comparing the result with a bank's own working. Inventory and payables are measured against cost of goods sold, not sales, because both are carried at cost. Receivables are measured against revenue, because they are carried at selling price. Using sales for all three, which some templates do, shortens the inventory and payable days and makes the cycle look better than it is. This page uses the cost-based convention and says so in the output.
Aalekh builds CMA data from a client's books, and the holding periods it projects are the ones this page computes, so the two should agree. Run the cycle on the last audited year first, then on the projections, and be ready to explain any step change in a note to the bank.
Working Capital Cycle Calculator
Cash conversion cycle
60 days
operating cycle of 90 days less 30 payable days
- Inventory days₹1,00,00,000 ÷ ₹7,30,00,000 × 365
- 50 days
- Receivable days₹1,20,00,000 ÷ ₹10,95,00,000 × 365
- 40 days
- Payable days₹60,00,000 ÷ ₹7,30,00,000 × 365
- 30 days
- Operating cycleinventory days plus receivable days, from buying stock to collecting cash
- 90 days
- Cash conversion cycleoperating cycle less the credit the supplier gives
- 60 days
- Cost of goods sold per daythe working capital tied up by each day of the cycle
- ₹2,00,000
- Working capital funded through the cycle60 days × ₹2,00,000
- ₹1,20,00,000
- Cycles completed in a year365 days over the cash conversion cycle
- 6.08
- Inventory plus receivables less payablesthe balance sheet view, which is higher because receivables carry the margin
- ₹1,60,00,000
- Inventory and payables are measured against cost of goods sold and receivables against revenue. A template that uses sales for all three will show shorter inventory and payable days.
- The holding periods in Form IV of a CMA pack are these same three figures, so the cycle here and the one implied by the projections should agree.
The formula
Inventory days = Average inventory ÷ COGS × 365; Receivable days = Average receivables ÷ Revenue × 365; Payable days = Average payables ÷ COGS × 365; Operating cycle = Inventory days + Receivable days; Cash conversion cycle = Operating cycle - Payable days
- Average inventory, receivables and payables
- The mean of the opening and closing balances for the year, or the closing balance if only one is available, so the cycle reflects the year rather than a single date.
- Cost of goods sold (COGS)
- Materials consumed plus direct manufacturing cost, which is what inventory and payables are carried at.
- Operating cycle
- The days between buying stock and collecting from the customer, before allowing for the credit the supplier gives.
- Cash conversion cycle
- The days the business itself has to fund, being the operating cycle less the payable days the supplier carries.
- Working capital tied up per day
- Cost of goods sold divided by 365, so the cash conversion cycle times this figure is the working capital the cycle absorbs.
Payable days can exceed the operating cycle, in which case the cash conversion cycle is negative and suppliers are funding the business rather than the other way round. That is common in retail and in trading with long supplier credit, and it is a legitimate result rather than an error.
How to calculate it
- 1
Take the balances as averages, not year-end snapshots
Average the opening and closing inventory, receivables and payables for the year. A year-end balance can be unusually high or low because of a large order or a payment made the day before the balance sheet date, and a cycle built on it will not survive the credit officer's comparison with the monthly stock statements.
- 2
Compute the three holding periods
Divide average inventory by cost of goods sold and multiply by 365 for inventory days. Divide average receivables by revenue and multiply by 365 for receivable days. Divide average payables by cost of goods sold and multiply by 365 for payable days. Keep the denominators straight: inventory and payables against cost, receivables against sales.
- 3
Add the operating cycle and net off the supplier credit
Inventory days plus receivable days is the operating cycle, the time from buying stock to collecting cash. Subtract payable days to get the cash conversion cycle, which is the part of that wait the business has to fund from its own money or a bank limit. This is the number a working capital sanction is really sized on.
- 4
Translate the cycle into rupees
Divide cost of goods sold by 365 to get the cost the business incurs each day, then multiply by the cash conversion cycle. The result is the working capital the cycle ties up, and it is the figure to compare with the limit being asked for. A limit far above it will be questioned, and a limit far below it means the business is running on statutory dues or overdue creditors.
- 5
Compare with the CMA holding periods and the sector
The holding periods in Form IV of the CMA pack are the same three numbers, so the cycle computed here and the one implied by the projections should match. Compare both with the last three audited years and with the sector, because a jump of thirty days in receivables with flat sales is the single most common trigger for a question about revenue quality.
Which denominator each holding period uses
| Holding period | Numerator | Denominator | Why |
|---|---|---|---|
| Inventory days | Average inventory | Cost of goods sold | Stock is carried at cost, so cost is the rate at which it is consumed |
| Receivable days | Average receivables | Revenue | Debtors are carried at selling price, so sales is the rate at which they arise |
| Payable days | Average payables | Cost of goods sold | Creditors arise from purchases, which sit in cost of goods sold |
| Cash conversion cycle | Operating cycle less payable days | Not applicable | The days the business funds after netting off supplier credit |
Worked example
- Annual revenue
- ₹10,95,00,000
- Cost of goods sold
- ₹7,30,00,000
- Average inventory
- ₹1,00,00,000
- Average receivables
- ₹1,20,00,000
- Average payables
- ₹60,00,000
- Inventory days = ₹1,00,00,000 ÷ ₹7,30,00,000 × 365 = 50 days
- Receivable days = ₹1,20,00,000 ÷ ₹10,95,00,000 × 365 = 40 days
- Payable days = ₹60,00,000 ÷ ₹7,30,00,000 × 365 = 30 days
- Operating cycle = 50 + 40 = 90 days
- Cash conversion cycle = 90 - 30 = 60 days
- Cost of goods sold per day = ₹7,30,00,000 ÷ 365 = ₹2,00,000, so the cycle ties up 60 × ₹2,00,000 = ₹1,20,00,000
An operating cycle of 90 days and a cash conversion cycle of 60 days, tying up ₹1,20,00,000 of working capital at ₹2,00,000 per day
Frequently asked questions
Sources
Rates and rules on this page come from the following. This is a working aid, not professional advice: confirm anything material with your Chartered Accountant before you act on it.
Stop re-keying these figures
Aalekh runs this calculation on your actual client data, pulls the underlying ledgers straight from Tally, and carries the result through to the financial statements and the return.
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