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 checks 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 $140,000, and the required rate of return is 6 percent per year. Assume 365 days per year. a. What is the reduction in outstanding cash balances as a result of implementing the lockbox system? Cash balance reduction $ b. What is the daily dollar return that could be earned on these savings? (Round your answer to 2 decimal places. (e.g., 32.16)) Dollar return $ c-1 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)) Maximum monthly charge $ c-2 What is the maximum monthly charge Cookie Cutter should pay for this lockbox system if the payment is due at the beginning of the month? (Round your answer to 2 decimal places. (e.g., 32.16)) Maximum monthly charge $

Explanation / Answer

a)Cash Balance reductions= days saved* average collection

=3*140,000= $420,000

b)First calculate daily return from yearly return

=(1+r)^(1/365)-1

=1.06^(1/365)-1= 0.016%

Dollar return =0.016%*420,000=420,000*0.016%=$67.05

c)Calculate monthly return =(1.06)^(1/12)-1= 0.0048676

use perpetiuty due formulae:

c=PV*r/(1-r)

420,000*0.0048676/(1-0.0048676)

=$2054.39

d)At begining of month:

PV=c/r

c=PV*r= 420,000*0.0048676=$2044.39

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