What must be the price of a $$1,000$ bond with a $5\mathrm{.}8\%$ coupon rate, annual coupons, and $15$ years to maturity if YTM is $10\mathrm{.}5\%$ APR?

A$.$ $$652\mathrm{.}49$

B$.$ $$913\mathrm{.}49$

C$.$ $$521\mathrm{.}99$

D$.$ $$782\mathrm{.}99$