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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?

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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.Compensatingbalance=20100,000. Compensating balance = 20% * 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 = 100,000100,000 - 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% * 80,000=80,000 = 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 = 5,600/5,600 / 80,000 = 0.07 or 7%

Therefore, the effective cost of the loan is 7%.

This problem has been solved

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