What must be the price of a $$10,000$ bond with a $6\mathrm{.}2\%$ coupon rate, semiannual coupons, and five years to maturity if it has a yield to maturity of $12\%$ APR?

A$.$ $$11,011\mathrm{.}81$

B$.$ $$9,438\mathrm{.}69$

C$.$ $$7,865\mathrm{.}58$

D$.$ $$6,292\mathrm{.}46$