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?
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
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