Chapter 18 – Short-Term Finance and Planning
Compensating balance – deposit in a low (or no) interest account
as part of a loan agreement
Cost of a compensating balance – if the compensating balance
requirement is on the used portion, less money than what is
borrowed is actually available for use. If it is on the unused
portion, the requirement becomes a commitment fee.
Example: Consider a $50,000 line of credit with a 5%
compensating balance requirement. The quoted rate on the line is
prime + 5%, and the prime rate is currently 8%. Suppose the firm
wants to borrow $28,500. How much do they have to borrow?
What is the effective annual rate?
Loan Amount: 28,500 = (1 – .05)L
L = 28,500 / .95 = 30,000
Effective rate: Interest paid = 30,000(.13) = 3,900. Effective rate =
3,900/28,500 = .1368 = 13.68%
Lecture Tip: Credit cards are an excellent way to illustrate the
concept of a “personal” line of credit. The consumer can use the
line of credit on the credit card to purchase goods or services. The
line of credit remains active until we abuse the privilege (i.e., late
payments). There is often a cost for this line of credit in the form of
annual fees. This is in addition to the often high rates of interest.
College students are targeted by credit card companies and can
end up holding several cards at one time. The cost of the annual
fees can add up – especially if they don’t need the additional credit
to begin with. Students also have the habit of charging to their
limits and then just making the minimum payment.
Lecture Tip: Trade credit represents another source of unsecured
financing. However, the cost of this form of borrowing is largely
implicit, since it is represented by the opportunity cost of not
taking the discount offered, if any. To compute the effective annual
cost of trade credit, we first use the credit terms to determine a
periodic opportunity cost. For example, if the terms are 2/10 net
30, rational managers will either pay $.98 per dollar of goods
ordered on the 10th day, or the full invoice cost on the 30th day. In
the latter case, the firm is actually paying $.02 to borrow $0.98 for
20 days. In one year, there are 365 / 20 = 18.25 such periods.
Therefore, the annualized cost is (1 + .02/.98)18.25 – 1 = 44.58%.
18-5