A company’s bank requires a compensating balance of 20% on a $100,000 loan. If the stated interest on the loan is 7%, what is the effective cost of the loan?
Question
A company’s bank requires a compensating balance of 20% on a $100,000 loan. If the stated interest on the loan is 7%, what is the effective cost of the loan?
Solution
To calculate the effective cost of the loan, we need to consider the compensating balance requirement.
Step 1: Calculate the compensating balance amount The compensating balance is 20% of the loan amount, which is 100,000 = $20,000
Step 2: Calculate the actual loan amount The actual loan amount is the loan amount minus the compensating balance. Actual loan amount = 20,000 = $80,000
Step 3: Calculate the interest paid on the loan The interest on the loan is stated as 7%. To calculate the interest paid, we multiply the actual loan amount by the interest rate. Interest paid = 7% * 5,600
Step 4: Calculate the effective cost of the loan The effective cost of the loan is the interest paid divided by the actual loan amount. Effective cost of the loan = 80,000 = 0.07 or 7%
Therefore, the effective cost of the loan is 7%.
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