What must be the price of a $$10,000$ bond with a $12\%$ coupon rate, semi$-$annual coupons, and five years to maturity if it has a yield to maturity of $10\%?$ a$.$ $$11,753\mathrm{.}64$ b$.$ $$9,752\mathrm{.}86$O c$.$ $$10,772\mathrm{.}17$ d$.$ $$8,773\mathrm{.}59$