please do step by step with only a calculator, not a spreadsheet.

5. A bond with annual coupon rate of 5.10% and price of $1,090 just yesterday paid a coupon. A total of 28 coupons remain to be paid. Suppose you buy the bond at today's price, hold it and receive 8 coupons, and then sell the bond. If at the time you sell the bond its YTM has decreased a total of 50 basis points, find the selling price of the bond. (FYI; 0.01=1%=100 basis points; use semiannual compounding)