Question
X-ray Inc. is a small manufacturing company. Currently, X-ray extends credit to its customers on a net 45 basis, but the company is having an
X-ray Inc. is a small manufacturing company. Currently, X-ray extends credit to its customers on a net 45 basis, but the company is having an issue with collecting payments in a timely manner. Currently, X-ray's customers pay 90 days (n=90) after being invoiced. X-ray is currently contemplating giving customers a 5% discount if they pay within 20 days of the invoice date. Currently, the average invoice amount is $12,000, but the company believes that the average invoice will grow to $12,300 if it provides a 5% discount. Futhermore, X-ray believes that 60% of its customers will pay in exactly 20 days (DSO=20) if the discount is introduced, while the remaining 40% will continue to pay 90 days after being invoiced. X-ray's annual cost of capital is 15%
What is the current present value of the average invoiced received by the corporation (ignoring the potential discount)? Round intermediate steps to four decimals.
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