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# Cash Freed Up for Primrose Corp

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Primrose Corp has \$15 million of sales, \$2 million of inventories, \$3 million of receivables, and \$1 million of payables. Its cost of goods sold is 80 percent of sales, and it finances working capital with bank loans at an 8 percent rate.

If Primrose lowered inventories and receivables by 10% each and increased payables by 10%; If Sales and COGS remain the same, then how much cash would be freed up? Hint: The cash freed up is not \$400,000.

a. \$409,000
b. \$427,000
c. \$358,000
d. None of the above

#### Solution Preview

Sales \$15m
Inventories \$2m
Receivables \$3m
Payables \$1m
Cost of goods sold (80% of sales) \$12m
Finances working capital with bank loans at an 8% rate.

What is Primrose's cash conversion cycle (CCC)?

Old CCC.

Cash conversion cycle (CCC) = Inventory conversion period + Average collection period - Payables deferral period.

Inventory conversion period = Inventory / Cost of goods sold per day
= \$2,000,000 / (\$12,000,000 / 365) = 60.833 days.

Average collection period = ACP (or DSO) = Receivables / (sales / 365)
= \$3,000,000 / (\$15,000,000 / 365) = 73 days.

Payables deferral period = Payables / Purchases per day = Payables / (Cost of goods ...

#### Solution Summary

The solution examines cash freed up for Primrose Corp. The finances working capital with bank loans is 8 percent rate.

\$2.19