You have a $7-$year bond, with $$1,000$ face value, $5\mathrm{.}50\%$ coupon rate, semiannual coupon payments, and yield to maturity of $6\mathrm{.}50\%.$ What is its price?

$-$ $$94\mathrm{.}45$

$-$$$1,138\mathrm{.}87$

$-$$$674\mathrm{.}37$

$-$$$944\mathrm{.}47$