A five$-$year bond with a $$1,000$ face value has a yield to maturity is $5\mathrm{.}0\%$ and it's coupon rate is $6\mathrm{.}0\%$ paid annually. The dirty price of this bond exactly $6$ months after its second coupon payment is closest to $\_\_\_\_\_\_\_\_.$ Group of answer choices $$1,087\mathrm{.}23$ $$1,147\mathrm{.}23$ $$1,027\mathrm{.}23$ $$1,057\mathrm{.}23$