Rogue Racing Inc. has $$1,000$ par value bonds with a coupon rate of $8\%$ per year making semiannual coupon payments. If there are twelve years remaining prior to maturity and these bonds are selling for $$876\mathrm{.}40,$ what is the yield to maturity for these bonds?

$9\mathrm{.}80\%$

$8\mathrm{.}00\%$

$9\mathrm{.}77\%$

$8\mathrm{.}33\%$