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if a company borrows $100,000 at a 10% stated interest rate and is required to maintain a 15% compensating balance ($15,000), the effective interest rate would be:

Question

if a company borrows 100,000ata10100,000 at a 10% stated interest rate and is required to maintain a 15% compensating balance (15,000), the effective interest rate would be:

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Solution

To calculate the effective interest rate, we need to consider the compensating balance requirement. Here are the steps:

  1. Determine the loan amount: The company borrows $100,000.

  2. Determine the compensating balance: The company is required to maintain a 15% compensating balance, which is 15% of 100,000,or100,000, or 15,000.

  3. Calculate the usable funds: Subtract the compensating balance from the total loan amount. This is 100,000100,000 - 15,000 = $85,000.

  4. Determine the stated interest rate: The stated interest rate is 10%.

  5. Calculate the interest: Multiply the total loan amount by the stated interest rate. This is 100,00010100,000 * 10% = 10,000.

  6. Calculate the effective interest rate: Divide the interest by the usable funds and multiply by 100 to get a percentage. This is 10,000/10,000 / 85,000 * 100 = 11.76%.

So, the effective interest rate would be 11.76%.

This problem has been solved

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