It takes Cookie Cutter Modular Homes, Inc., about six days to receive and deposi

Question

It takes Cookie Cutter Modular Homes, Inc., about six days to receive and deposit chocks from customers. Cookie Cutter'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 $136,000, and the required rate of return is 5 percent per year. Assume 365 days per year. What is the reduction in outstanding cash balances as a result of implementing the lockbox system? What is the daily dollar return that could be earned on these savings? (Round your answer to 2 decimal places. (e.g., 32, 16)) What is the maximum monthly charge Cookie Cutter should pay for this lockbox system if the payment is due at the end of the month? (Round your answer to 2 decimal places. (e.g., 32, 16)) What is the maximum monthly charge Cookie Cutter should pay for this lockbox system if the payment is due at the beginning of this month? (Round your answer to 2 decimal places.(e.g., 32, 16))

Explanation / Answer

A./

B./

DOLLAR RETURN EARNED ON THE SAVINGS

= ($408000 * 5%) / 365

= $20400 / 365

= $55.89

C.

MONTHLY RATE

= (1 + 0.05)1/12 - 1

= 0.41%

PV OF PERPETUITY

= C / RATE

$408000 = C / 0.41%

C = $1672.80

C2/

NOW WE HAVE TO USE PERPETUITY DUE FORMULA

C = (PV * R) / (1 + R)

= ($408000 * 0.41%) / (1.0041)

= $1672.80 / 1.0041

= $1665.97

DETAILS AMOUNT COLLECTION OF 6 DAYS (6 * $136000) $816000 LESS COLLECTION OF 3 DAYS (3 * $136000) ($408000) CASH BALANCE REDUCTION $408000

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