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Rachel's has a $50,000 line of credit with Uptown Bank. The line of credit calls for an interest rate of 8 percent and a compensating balance of 4 percent. The compensating balance is based on the total amount borrowed and will be held in an interest-free account. What is the effective annual interest rate if the firm borrows $35,000 for one year?
Amount borrowed = $35,000/(1 - 0.04) = $36,458.33 Annual interest = $36,458.33 × 0.08 = $2,916.67 Effective interest rate = $2,916.67/$35,000 = 8.33 percent
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