The treasurer of Brandon Blue Sox is seeking a $32,000 loan for 180 days from the Brandon Credit Union. The stated interest rate is 14 percent and there is a 20 percent compensating balance requiremen

1 answer

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To calculate the compensating balance, we first need to find out how much the treasurer needs to borrow. The compensating balance is based on the loan amount, not including the interest.

Loan amount = $32,000

Now, we can calculate the required compensating balance:

Compensating balance = 20% * Loan amount = 20% * $32,000 = $6,400

The treasurer will need to keep a compensating balance of $6,400 in their account with the credit union.

To calculate the interest on the loan, we can use the following formula:

Interest = Loan amount * Interest rate * Time

Loan amount = $32,000
Interest rate = 14% (0.14 as a decimal)
Time = 180 days / 365 (since most interest rates are quoted on an annual basis)

Interest = $32,000 * 0.14 * (180/365) = $785.75

Therefore, the treasurer will need to pay $785.75 in interest on the loan.

In summary, the treasurer of Brandon Blue Sox needs to get a $32,000 loan from the Brandon Credit Union for 180 days. They will be required to maintain a compensating balance of $6,400 and will need to pay $785.75 in interest on the loan.