Chamberlain Company wants to issue new $18-$year bonds for some much$-$needed expansion projects. The company currently has $7\mathrm{.}8$ percent coupon bonds on the market that sell for $$962\mathrm{.}70,$ make semiannual payments, and mature in $18$ years. What coupon rate should the company set on its new bonds if it wants them to sell at par? Assume a par value of $$1,000.$

Multiple Choice

$7\mathrm{.}90\%$

$8\mathrm{.}10\%$

$8\mathrm{.}50\%$

$4\mathrm{.}10\%$

$8\mathrm{.}20\%$