MN Corporation issued bonds on January $1,2006.$ The bonds have a coupon rate of $5\mathrm{.}0\%,$ with interest paid semiannually, The face value of the bonds is $$1,000$ and the bonds mature on January $1,2021(15$ years$).$ What was the yield to maturity on January $1,2006,$ if the market price of the bond on that date was $$1000?$

$4\mathrm{.}5\%$

$5\mathrm{.}0\%$

$5\mathrm{.}25\%$

$5\mathrm{.}5\%$