Chapter 17: The Management of Cash and Marketable Securities
51. Fagins, a nationwide department store chain, currently processes all of its credit sales payments at its St. Louis
headquarters. The firm is considering the establishment of a lockbox arrangement with a Los Angeles bank to
process payments from its customers in 10 western states. Average mailing time for customers from this region
would be reduced from 3 days to 1.5 days. In addition, check processing and clearing time would be reduced
from 4 days to 2.5 days. Annual collections from the western region are $150 million. Establishment of this
lockbox system would reduce the compensating balance requirement at the firm’s St. Louis bank by $600,000
and reduce annual payment processing costs at the St. Louis office by $30,000. Funds released by the lockbox
arrangement can be invested elsewhere in the firm to earn 12 percent. The Los Angeles bank has agreed to
process Fagins’ customer payments “free of charge” provided that the firm maintains a minimum
compensating balance of $1,500,000 in its account at the bank. What are the annual net benefits to Fagins of
establishing a lockbox system with the Los Angeles bank (assume 365 days per year)?
a. $630,000
b. $332,877
c. $69,945
d. $41,096
52. A Delaware bank has offered to set up a lock-box arrangement to process Union Oil Company of California’s
(UNOCAL) credit card payments from customers in 8 mid-Atlantic states for an annual fee of $150,000 plus
$0.05 per payment. Total collections from this area are $547.5 million annually—consisting of an average of
10 payments per year from 1,100,000 credit card customers. Average mailing time for customers from this
region would be reduced from 3.5 days currently to 2 days with the lock-box system. Check processing and
clearing time also would be reduced from 5 days presently to 1.5 days with the lock-box arrangement.
Establishment of the lock-box system would reduce annual payment processing costs at its Los Angeles
headquarters by $250,000 and reduce the compensating balance at its Los Angeles bank by $500,000. The
Delaware bank will not require UNOCAL to maintain a compensating balance if it establishes a lock-box
system. Funds released by the lock-box arrangement can be invested elsewhere in the firm to earn 15% per
annum pretax. Determine the net pretax benefits to UNOCAL of establishing the lock-box system with the
Delaware bank. (Assume 365 days per year in the calculations.)
a. $675,000
b. $750,000
c. $500,000
d. $450,000