Chamberlain Company wants to issue new $17-$year bonds for some much$-$needed expansion projects. The company currently has $10\mathrm{.}2$ percent coupon bonds on the market that sell for $$883\mathrm{.}72,$ make semiannual payments, and mature in $17$ years. What coupon rate should the company set on its new bonds if it wants them to sell at par? Assume a par value of $$1,000.$

Multiple Choice

$12\mathrm{.}10\%$

$11\mathrm{.}70\%$

$11\mathrm{.}50\%$

$5\mathrm{.}90\%$

$11\mathrm{.}80\%$