The information below provides coupon yields to maturity and spot rates of interest for US Treasury securities$.$ Assume that all securities pay interest semiannually.

a$.$ Compute the $2-$year implied forward rate three years from now.

b$.$ What assumption underlies your calculation of the implied forward interest rate? Term to Maturity, Coupon Yield, Spot Rate

$16\mathrm{.}25\%6\mathrm{.}25\%$

$26\mathrm{.}75\%6\mathrm{.}80\%$

$37\mathrm{.}15\%7\mathrm{.}20\%$

$57\mathrm{.}45\%7\mathrm{.}55\%$

$107\mathrm{.}95\%8\mathrm{.}10\%$

$308\mathrm{.}25\%9\mathrm{.}70\%$