Grand Canyon Guided Tours, Inc., issued $15-$year, $$1,000$ bonds with a $9\mathrm{.}50\%$ annual coupon rate. What is the selling price $($rounded to the nearest cent$)$ of these bonds if the current yield to maturity is $8\mathrm{.}50\%?$

a$.$ $$921\mathrm{.}72$

b$.$ $$1,083\mathrm{.}04$

c$.$ $$1,196\mathrm{.}73$

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