pose the interest rate on a $1-$year T$-$bond is $5\mathrm{.}00\%$ and that on a $2-$year T$-$bond is $6\mathrm{.}90\%.$ Assuming the pure expectations theory is correct, what is the market's

ecast for $1-$year rates $1$ year from now? Round the intermediate calculations to $4$ decimal places and final answer to $2$ decimal places.

b$.{?}_{\text{r}\text{e}\text{d}}^{8\mathrm{.}83\%}$

c$.6\mathrm{.}63\%$

d$.7\mathrm{.}42\%$

e$.8\mathrm{.}04\%$