Chamberlain Company wants to issue new $20-$year bonds for some much$-$needed expansion projects. The company currently has $11\mathrm{.}2$ percent coupon bonds on the market that sell for $$954\mathrm{.}29,$ make semiannual payments, and mature in $20$ years. What coupon rate should the company set on its new bonds if it wants them to sell at par? Assume a par value of $$1,000.$

$5\mathrm{.}90\%$

$12\mathrm{.}10\%$

$11\mathrm{.}50\%$

$11\mathrm{.}80\%$

$11\mathrm{.}70\%$