Simon Corporation has daily cash receipts of $65,000. A recent analysis of its collections indicated that customers' payments were in the mail an average of 2.5 days. Once received, the payments are processed in 1.5 days. After payments are deposited, it takes an average of 3 days for these receipts to clear the banking system. If the firm's opportunity cost is 11%, would it be economically advisable for the firm to pay an annual fee of $16,500 to reduce collection float by 3 days? Explain why or why not.

Question

Simon Corporation has daily cash receipts of $65,000.  A recent analysis of its collections indicated that customers' payments were in the mail an average of 2.5 days. Once received, the payments are processed in 1.5 days. After payments are deposited, it takes an average of 3 days for these receipts to clear the banking system. If the firm's opportunity cost is 11%, would it be economically advisable for the firm to pay an annual fee of $16,500 to reduce collection float by 3 days? Explain why or why not.

anonymous · Answer

Assuming opportunity cost = cost per day, then that's 

11% of $65000 = $7150 per day
= $21450 over 3 days

So paying $16500 to reduce collection time by 3 days actually saves 

$21450 - $16500 = $4950 overall.