Answer:
-1,185,282.35
Explanation:
The average daily collections are the average number of payments times the average value of a payment, so:
Average daily collections = =355 * 945
Average daily collections = $335,475
The present value of the lockbox service is the average daily receipts times the number of days the collection is reduced, so:
PV = (4 day reduction)( $335,475)
PV = $1,341,900
The daily cost is a perpetuity. The present value of the cost is the daily cost divided by the daily interest rate. So:
PV of cost = (.3*355)/.00068
PV of cost = $106.5/.00068= $156,617.65
The firm should take the lockbox service. The NPV of the lockbox is the cost plus the present value of the reduction in collection time, so:
NPV = $156,617.65 - 1,341,900
NPV = -1,185,282.35