Paper Submarine Manufacturing is investigating a lockbox system to reduce its collection time. It has determined the following: |
Average number of payments per day | 425 | ||
Average value of payment | $ | 1,015 | |
Variable lockbox fee (per transaction) | $ | .40 | |
Daily interest rate on money market securities | .068 | % | |
The total collection time will be reduced by three days if the lockbox system is adopted. |
a. | What is the PV of adopting the system? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) |
PV | $ |
b. |
What is the NPV of adopting the system? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) |
NPV | $ |
c. |
What is the net cash flow per day from adopting the lockbox system? Per check? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) |
Net cash flow | $ per day |
Net cash flow | $ per check |
a. PV of Adopting the system = Reduction in Days * Average number of payments * Average Payment
PV of Adopting the system = 3 * 425 * 1015
PV of Adopting the system = $1294125
b. NPV
NPV = PV of Adopting System - (PV Fee per transaction * Number of Transactions / Interest Rate)
NPV = 1294125 - (0.40 * 425 / 0.068%)
NPV = 1294125 - 250000
NPV = $1044125
c. Net cash Flow per Day = PV of Transactions * Daily Interest Rate - Transaction cost per day
Net cash Flow per Day = 1294125 * 0.068% - 0.40 * 425
Net cash Flow per Day = 880.005 - 170
Net cash Flow per Day = $710.00
d. Cash Flow per Check = 710 / 425 = $1.67
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