Omega Corporation plans to issue $$200$ million of bonds, and wants these bonds to sell for their $$1,000$ par value. Omega also has existing bonds maturing on March $12,2037,$ paying a $6\mathrm{.}80\%$ semi$-$annual coupon, and trading for $$1,026\mathrm{.}86$ in the financial market. What should the coupon interest rate be on these new bonds to ensure Omega receives the $$1,000$ par value?

Group of answer choices

$6\mathrm{.}93\%$

$6\mathrm{.}80\%$

$3\mathrm{.}25\%$

$6\mathrm{.}49\%$

$3\mathrm{.}47\%$