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12. Kate would like to borrow $50,000 for five years and she is comparing two loan contracts. Contract A requires fixed equal monthly payment,

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12. Kate would like to borrow $50,000 for five years and she is comparing two loan contracts. Contract A requires fixed equal monthly payment, with 9% interest rate at reducing balance basis (that is to say, every month the interest payment is only based on the remaining principal balance). Contract B requires fixed equal quarterly payment, with 8% interest rate at annual flat basis (that is to say, the payment each quarter equals to $50,000/N+$50,000*r, where N is the number of payments and r is the quarterly interest rate). What is the effective annual interest rate under each of these two contracts?

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