What is the price today $($in dollars and cents$)$ of a $7-$year $8\mathrm{.}75\%$ coupon rate bond that returns the par value of $$1000$ at maturity if the yield to maturity is $8\mathrm{.}50\%?$

$$695\mathrm{.}72$

$$1000\mathrm{.}00$

$$1012\mathrm{.}80$

$$346\mathrm{.}02$

$$987\mathrm{.}31$