Problem: Cumberland Furniture wishes to establish a prearranged borrowing agreem

Question

Problem: Cumberland Furniture wishes to establish a prearranged borrowing agreement with a local commercial bank. The bank's terms for a line of credit are 2.80% over the prime rate, and each year the borrowing must be reduced to zero for a 30-day period. For an equivalent revolving credit agreement, the rate is 1.90% over prime with a commitment fee of 0.6% on the average unused balance. With both loans, the required compensating balance is equal to 20% of the amount borrowed. (Note: Cumberland currently maintains $0 on deposit at the bank.) The prime rate is currently 9%. Both agreements have $22,500,000 borrowing limits. The firm expects on average to borrow $9,000,000 during the year no matter which loan agreement it decides to use.

a. What is the effective annual rate under the line of credit?

b. What is the effective annual rate under the revolving credit agreement? (Hint: Compute the ratio of the dollars that the firm will pay in interest and committment fees to the dollars that the firm will effectively be able to use)

c. If the firm does expect to borrow an average of half the amount available, which arrangement would you recommend for the borrower? Explain why.

Explanation / Answer

(a) (0.09 +0.028) * 0.80 =   9.44%

(b) Effective annual interest rate = [$9,000,000 (0.09+ 0.019)+ (0.006* $9,000,000)] / ($9,000,000 0.80)] = 14.375%

(c) The revolving credit account seems better, since the cost of the second arrangements is better than first arrangement; with a revolving loan arrangement, the loan is committed

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