129. 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.)
130. Lone Star Technologies has annual sales of $336 million. Management has determined that an average
of 8 days elapses between the time customers mail their payments and when the funds are available to
the firm. The cost of reducing the float 3 days will be $60,000. Should Lone Star work to reduce the
float if the increase in cash can be invested to earn 7.5% per annum?
131. Currently Nemonix is using a decentralized collection system whereby customers mail their checks to
one of the firm’s eight regional locations. Its annual sales are $95 million. Checks are deposited each
business day in a local bank and the amount of the deposit is sent to the firm’s concentration bank in
Dallas. The average time between deposit in the local bank and the availability of those funds, in
Dallas, to Nemonix is 6 days. Nemonix has determined that the use of wire transfers would reduce the
float by four days, but the transfer will cost $7.50. If transfers will be made on the 250 days that banks
are open each year, should Nemonix switch to the wire transfer system? Assume that Nemonix can
earn 8% on the funds released through this more efficient transfer.