Lockbox system Hardin-Gehr Corporation (HGC) began operations 5 years ago as a s

Question

Lockbox system

Hardin-Gehr Corporation (HGC) began operations 5 years ago as a small firm serving customers in the Detroit area. However, its reputation and market area grew quickly. Today HGC has customers all over the United States. Despite its broad customer base, HGC has maintained its headquarters in Detroit; and it keeps its central billing system there. On average, it takes 7 days from the time customers mail in payments until HGC can receive, process, and deposit them. HGC would like to set up a lockbox collection system, which it estimates would reduce the time lag from customer mailing to deposit by 1 day-bringing it down to 6 days. HGC receives an average of $2,500,000 in payments per day.

How much free cash would HGC generate if it implemented the lockbox system? Round your answer to the nearest cent.
$    

Would this be a one-time cash flow or a recurring one, assuming the company ceases to grow?
-Select-One-time cash flowA recurring cash flowItem 2  

How would growth affect your answer?
If the firm grows, cash flow -Select-would be a one-time cash flowwould increase by the differential growthwould decrease by the differential growthItem 3

If HGC has an opportunity cost of 8%, how much is the lockbox system worth on an annual basis? Round your answer to the nearest cent.
$   

What is the maximum monthly charge HGC should pay for the lockbox system? Round your answer to the nearest cent.
$   

Explanation / Answer

Cash generation in the new system per 7 day cycle =2500000*1day 2500000 It will be a recurring cash flow and in a year , there will be =365/7=52.14 or 52 no of cash inflows. Interest per week=8/12 0.667 Interest Factor=(1.00667)^52 1.413 PV of Annuity(A=2500000,N=52,I=0.66%)=2500000*(F-1)/(F*I)=2500000*(1.413-1)/(0.00667*1.413) (A) 109552442.5 Maximum Monthly Charge=A/12 9129370.2

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