The yield rate on a one year zero$-$coupon bond is currently $7\%$ and the yield rate on a two year zero

coupon bond is currently $8\%.$ The Treasury plans to issue a two year bond with $9\%$ annual coupons,

maturing at $$100$ par value. Determine the yield$-$to$-$maturity of the two year coupon bond.

$($A$)7\mathrm{.}00\%$

$($B$)7\mathrm{.}52\%$

$($C$)7\mathrm{.}83\%$

$($D$)7\mathrm{.}96\%$

$($E$)8\mathrm{.}00\%$