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Problem 16-11 Cash Conversion Cycle Negus Enterprises has an inventory conversio

ID: 2383423 • Letter: P

Question

Problem 16-11
Cash Conversion Cycle

Negus Enterprises has an inventory conversion period of 79 days, an average collection period of 49 days, and a payables deferral period of 20 days. Assume that cost of goods sold is 80% of sales. Assume 365 days in year for your calculations.

What is the length of the firm's cash conversion cycle?
days

If Negus's annual sales are $3,361,150 and all sales are on credit, what is the firm's investment in accounts receivable? Round your answer to the nearest dollar.
$   

How many times per year does Negus Enterprises turn over its inventory? Round your answer to two decimal places.

Problem 16-11
Cash Conversion Cycle

Negus Enterprises has an inventory conversion period of 79 days, an average collection period of 49 days, and a payables deferral period of 20 days. Assume that cost of goods sold is 80% of sales. Assume 365 days in year for your calculations.

What is the length of the firm's cash conversion cycle?
days

If Negus's annual sales are $3,361,150 and all sales are on credit, what is the firm's investment in accounts receivable? Round your answer to the nearest dollar.
$   

How many times per year does Negus Enterprises turn over its inventory? Round your answer to two decimal places.

Explanation / Answer

Cash Conversion Cycle = DSO + DIO – DPO

Where,
DSO is days sales outstanding = Average Accounts Receivable × 365 ÷ Credit Sales
DIO is days inventory outstanding = Average Inventories × 365 ÷ Cost of Goods Sold
DPO is days payables outstanding = Average Accounts Payable × 365 ÷ Cost of Goods Sold

DIO = 79 days

DPO = 20 days

DSO = 49 days

Cash conversion cycle = 49 days + 79 days - 20 days

= 108 days.

Account receivable = Credit sales per day X Average length of collection period

Average daily sales = 3,361,150/365 = 9,209

= 9,209 * 49

= $ 451,223