You have a $10-$year bond, with $$1,000$ face value, $8\mathrm{.}00\%$ coupon rate, semiannual coupon payments, and yield to maturity of $7\mathrm{.}50\%.$ What is its price?

$$663\mathrm{.}58$

$$1,034\mathrm{.}74$

$$103\mathrm{.}47$

$$1,349\mathrm{.}04$