The Hot Dog Shack wants to raise $$1\mathrm{.}2$ million by selling some coupon bonds at par. Comparable bonds in the market have a $6\mathrm{.}5$ percent annual coupon, $15$ years to maturity, and are selling at $97\mathrm{.}687$ percent of par. What coupon rate should The Hot Dog Shack set on its bonds? $($assume annual compounding$)$

$6\mathrm{.}75$ percent

$6\mathrm{.}67$ percent

$6\mathrm{.}38$ percent

$6\mathrm{.}25$ percent

$6\mathrm{.}50$ percent