Grand Canyon Guided Tours, Inc., issued $15-$year, $$1,000$ bonds with a $12\mathrm{.}00\%$ annual coupon rate. What is the selling price $($rounded to the nearest cent$)$ of these bonds if the current yield to maturity is $9\mathrm{.}75\%?$

a$.$ $$1,000\mathrm{.}00$

b$.$ $$846\mathrm{.}76$

c$.$ $$1,333\mathrm{.}64$

d$.$ $$1,173\mathrm{.}61$