What is the yield$-$to$-$maturity for a bond with a coupon rate of $7\mathrm{.}00$ percent, $6$ years to maturity,and a face value of $$1,000\mathrm{.}00,$ if the price of the bond today is $$947\mathrm{.}17$ and coupons are paid semi$-$annually with the next coupon due in $6$ months?

$8\mathrm{.}13\%($plus or minus $2$ bps$)$

$4\mathrm{.}33\%($plus or minus $2$ bps$)$

$4\mathrm{.}53\%($plus or minus $2$ bps$)$

$8\mathrm{.}29\%($plus or minus $2$ bps$)$

none of the answers are within $2$ bps of the correct answer