Bonds issued by Louisville Lamps were priced at $$1,077\mathrm{.}84$ six months ago and are priced at $$1,112\mathrm{.}08$ today. The bonds have a face value of $$1,000\mathrm{.}00,$ pay semi$-$annual coupons, and just made a coupon payment. The bonds had a percentage return over the past six months $($from $6$ months ago to today$)$ of $6\mathrm{.}47\%.$ What is the coupon rate of the bonds?

$10\mathrm{.}62\%($plus or minus $2$ bps$)$

$7\mathrm{.}10\%($plus or minus $2$ bps$)$

$3\mathrm{.}55\%($plus or minus $2$ bps$)$

$3\mathrm{.}19\%($plus or minus $2$ bps$)$

none of the answers are within $2$ bps of the correct answer