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Lucy Lampkin wants to purchase a bond with a face value of $7,000 and a bond rate of 7% per year, payable at 3.5% semiannually.

Lucy Lampkin wants to purchase a bond with a face value of $7,000 and a bond rate of 7% per year, payable at 3.5% semiannually. The bond has a remaining life of 5 years. If Lucy wants to earn at least 9% per year compounded semiannually, what is the maximum price she would be willing to pay to purchase the bond? Carry all interim calculations to 5 decimal places and then round your final answer to the nearest dollar. The tolerance is 5.

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