What is the yield to maturity for a $$1,000$ par, $30-$year, $9\%$ coupon bond with semi$-$annual payments that sells for $$1057\mathrm{.}25?$

$9\mathrm{.}45\%$

$10\mathrm{.}38\%$

$8\mathrm{.}47\%$

$7\mathrm{.}52\%$