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It takes Cookie Cutter Modular Homes, Inc., about six days to receive and deposit checks from customers. The companys manageIt takes Cookie Cutter Modular Homes, Inc., about six days to receive and deposit checks from customers. The company’s management is considering a lockbox system to reduce the firm’s collection times. It is expected that the lockbox system will reduce receipt and deposit times to three days total. Average daily collections are $175,000, and the required rate of return is 4 percent per year. Assume 365 days per year.

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Answer #1

a)
Outstanding cash balance reduction = Average daily collections * Number of days
= $175,000 * 3
= $525,000.

b)
Daily dollar return = Outstanding cash balance reduction * ((1 + rate of return)^(1/365)-1)
= $525,000 * ((1 + 4%)^(1/365)-1)
= $525,000 * 0.00010746
= $56.42

c-1)
Payment = PV * Effective monthly rate
= $525,000 * ((1 + 4%)^(1/12) -1)
= $525,000 * 0.00327373978
= $1,718.71

Maximum monthly charge = $1,718.71

c-2)

Maximum monthly charge = $1,718.71 / (1 + 0.00327373978)
= $1,713.11

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