You have a $12-$year bond, with $$1,000$ face value, $8\mathrm{.}00\%$ coupon rate, quarterly coupon payments, and yield to maturity of $4\mathrm{.}50\%.$ What is its price?

$$531\mathrm{.}15$

$$132\mathrm{.}32$

$$1,323\mathrm{.}16$

$$1,767\mathrm{.}71$