What is the price of a bond with a $$1,000$ face value, $7\mathrm{.}5\%$ coupons $($annual payments$),$ and $6$ years to maturity if the yield is $4\%?$

$1\mathrm{.}534\mathrm{.}87$

$1,221\mathrm{.}76$

$1\mathrm{.}183\mathrm{.}47$

$985\mathrm{.}36$