What is the effective annual interest rate


McDowell Industries sells on terms of 3/10, net 30. Total sales for the year are $912,500. Forty percent of customers pay on the 10th day and take discounts; the other 60% pay, on average, 40 days after their purchases.

a. What is the days sales outstanding?
b. What is the average amount of receivables?
c. What would happen to average receivables if McDowell toughened its collection policy with the result that all nondiscount customers paid on the 30th day?

The D.J. Masson Corporation needs to raise $500,000 for 1 year to supply working capital to a new store. Masson buys from its suppliers on terms of 3/10, net 90, and it currently pays on the 10th day and takes discounts. However, it could forgo the discounts, pay on the 90th day, and thereby obtain the needed $500,000 in the form of costly trade credit. What is the effective annual interest rate of this trade credit?

The Zocco Corporation has an inventory conversion period of 60 days, an average collection period of 38 days, and a payables deferral period of 30 days. Assume that cost of goods sold is 75% of sales.

a. What is the length of the firm’s cash conversion cycle?
b. If Zocco’s annual sales are $3,421,875 and all sales are on credit, what is the firm’s investment in accounts receivable?
c. How many times per year does Zocco turn over its inventory?

The Christie Corporation is trying to determine the effect of its inventory turnover ratio and days sales outstanding (DSO) on its cash flow cycle. Christie’s sales last year (all on credit) were $150,000, and it earned a net profit of 6%, or $9,000. It turned over its inventory 7.5 times during the year, and its DSO was 36.5 days. Its annual cost of goods sold was $121,667. The firm had fixed assets totaling $35,000. Christie’s payables deferral period is 40 days.

a. Calculate Christie’s cash conversion cycle.
b. Assuming Christie holds negligible amounts of cash and marketable securities, calculate its total assets turnover and ROA.
c. Suppose Christie’s managers believe the annual inventory turnover can be raised to 9 times without affecting sales. What would Christie’s cash conversion cycle, total assets turnover, and ROA have been if the inventory turnover had been 9 for the year?

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Finance Basics: What is the effective annual interest rate
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