Sunday, November 10, 2019

You've worked out a line of credit arrangement that allows you to borrow up to $50 million at any time. The interest rate is 0.5 percent per month.

You've worked out a line of credit arrangement that allows you to borrow up to $50 million at any time. The interest rate is 0.5 percent per month. In addition, 7 percent of the amount that you borrow must be deposited in a non-interest bearing account. Assume your bank uses compound interest on its line of credit loans. What is the effective annual interest rate on this lending arrangement? 
 
A. 
6.65 percent

B. 
6.72 percent

C. 
6.81 percent

D. 
6.87 percent

E. 
6.94 percent
Monthly interest = $50,000,000 (0.005) = $250,000
Amount received = (1 - 0.07) $50,000,000 = $46,500,000
Periodic interest = $250,000/$46,500,000 = 0.00537634
EAR = (1 + 0. 00537634)12 - 1 = 6.65 percent


106.
A bank offers your firm a revolving credit arrangement for up to $115 million at an interest rate of 2 percent per quarter. The bank also requires you to maintain a compensating balance of 5 percent against the unused portion of the credit line, to be deposited in a non-interest-bearing account. Assume you have a short-term investment account at the bank that pays 1.3 percent per quarter, and assume the bank uses compound interest on its revolving credit loans. What is the effective annual interest rate on the revolving credit arrangement if your firm does not borrow any money during the year? 
 
A. 
0 percent

B. 
5.0 percent

C. 
5.2 percent

D. 
5.3 percent

E. 
5.5 percent
EAR = (1 + 0.013)4 - 1 = 5.30 percent





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