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You are seeking a bank loan for $12000 and go to Prosper Bank and to Skyline Bank to see which loan has a lower rate.

You are seeking a bank loan for $12000 and go to Prosper Bank and to Skyline Bank to see which loan has a lower rate. Your plan is to open a restaurant, which is quite risky. Prosper Bank expects that it could recover $10,000 if you defaulted while Skyline thinks it would only recoup $9000. However, Skyline puts your probability of repayment at 97% while Prosper only has it at 96%. Which loan has the lower interest rate? Assume both banks are aiming to earn 6%. Please show all work.

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