A bond issued by Geo$-$Shock Inc. has $12$ years remaining until maturity. The par value of the bond is $$1,000,$ the coupon rate is $6\mathrm{.}00\%$ and is paid semi$-$annually. The yieldto$-$maturity is $8\mathrm{.}12\%.$ The bond should sell for $ $$

$824\mathrm{.}59$

$839\mathrm{.}37$

$830\mathrm{.}64$

$835\mathrm{.}03$

$1,000\mathrm{.}00$

None of the answers in this list is within $$0\mathrm{.}50$ of the correct answer.