19. CME Group Inc has the following data: Annual sales = $59,000, Annual cost of goods sold = $44,250, Inventory = $8,260, Accounts receivable = $5,310, and Accounts payable = $5,900. What is the firm's cash conversion cycle?
Group of answer choices:
none of the answers is correct
52
104
76
30
Answer = 52
Note:
Inventory Turnover = Cost of Goods Sold/ Inventory
= $ 44250/8260
=5.357142857142860
Now, Inventory Period = Number of Days in a Year / Inventory Turnover
= 365/ 5.357142857142860
= 68.133333 days
Receivables Turnover = Credit Sales/ Receivables
= $ 59000/5310
= 11.111111
Receivables Period = Number of days in a year / Receivables Turnover
= 365/11.111111
= 32.85 Days
Payable Turnover= Cost of Goods Sold / Payable
= $ 44250/5900
= 7.5
Payable Period = Number of Days in a Year / Payable Turnover
= 365/7.5
= 48.67 Days
Operating Cycle = Inventory Period + Receivables Period
= 68.133 days+32.85 Days
= 100.98 days
Cash Cycle = Operating Cycle - Payable Period
= 100.98 days - 48.67 Days
= 52.32 Days
= 52
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