Bond A pays annual coupons, pays its next coupon in $1$ year, matures in $12$ years, and has a face value of $$1,000\mathrm{.}00.$ Bond B pays semi$-$annual coupons, pays its next coupon in $6$ months, matures in $6$ years, and has a face value of $$1,000\mathrm{.}00.$ The two bonds have the same yield$-$to$-$maturity. Bond A has a coupon rate of $5\mathrm{.}56$ percent and is priced at $$1,254\mathrm{.}82.$ Bond B has a coupon rate of $8\mathrm{.}22$ percent. What is the price of bond B$?$ $$1,291\mathrm{.}41($plus or minus $$2)$ $$1,284\mathrm{.}69($plus or minus $$2)$ $$1,442\mathrm{.}84($plus or minus $$2)$ $$1,148\mathrm{.}70($plus or minus $$2)$ none of the answers are within $$2$ of the correct answer