Find the price of a $10-$year bond that pays an annual coupon, has a coupon rate of $4\mathrm{.}5$ percent, a yield to maturity of $5$ percent, a par value of $1,000$ when the yield to maturity is $5$ percent.

$1,115\mathrm{.}83$

E$961\mathrm{.}39$

$1,154\mathrm{.}43$

$1,308\mathrm{.}87$