You have just purchased a municipal bond with a $$10,000$ par value for $$9,500.$ You purchased it immediately after the previous owner received a semiannual interest payment. The bond rate is $6\mathrm{.}6\%$ per year payable semiannually. You plan to hold the bond for $3$ years, selling the bond immediately after you receive the interest payment. If your desired nominal yield is $9\%$ per year compounded semiannually, what will be your minimum selling price for the bond? $

Carry all interim calculations to $5$ decimal places and then round your final answer to the nearest dollar. The tolerance is $+-5.$