A bank offers your firm a revolving credit arrangement for up to $72 million at

Question

A bank offers your firm a revolving credit arrangement for up to $72 million at an interest rate of 1.37 percent per quarter. The bank also requires you to maintain a compensating balance of 3 percent against the unused portion of the credit line, to be deposited in a noninterest-bearing account. Assume you have a short-term investment account at the bank that pays .78 percent per quarter, and assume that the bank uses compound interest on its revolving credit loans.

Required: (a) What is your effective annual interest rate (an opportunity cost) on the revolving credit arrangement if your firm does not use it during the year? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).) Effective annual rate %

(b) What is your effective annual interest rate on the lending arrangement if you borrow $43 million immediately and repay it in one year? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).) Effective annual rate %

(c) What is your effective annual interest rate if you borrow $72 million immediately and repay it in one year? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).) Effective annual rate %

Explanation / Answer

Question a. Line of credit 72 Credit used 0 Unused Fund 72 Compensating Balance required(72 x 3%) 2.16 Total Fund Used (0 + 2.16)           2.16 Interest on used fund 0.12 Loss of Interest on Compensating balance 0.02 Total Interest cost 0.14 Effective Interest (0.12/2.16) 6.26% Question b. Line of credit 72 Credit used 43 Unused Fund 29 Compensating Balance required(29 x 3%) 0.87 Total Fund Used (43 + 0.87) 43.87 Interest on used fund 2.40 Loss of Interest on Compensating balance 0.01 Total Interest cost 2.41 Effective Interest (2.40/43.87) 5.50% Question c. Line of credit 72 Credit used 72 Unused Fund 0 Compensating Balance required(0 x 3%) 0 Total Fund Used (43 + 0.87) 72.00 Interest on used fund 3.95 Loss of Interest on Compensating balance 0.00 Total Interest cost 3.95 Effective Interest (2.40/72) 5.48%

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