Suppose the interest rate on a $1-$year T$-$bond is $4\mathrm{.}00\%$ and that on a $2-$year T$-$bond is $7\mathrm{.}00\%.$ Assuming the pure expectations theory is correct, what is the market's forecast for $1-$year rates $1$ year from now? Do not round your intermediate calculations. Round your final answer to $2$ decimal places.

a$.6\mathrm{.}90\%$

b$.4\mathrm{.}58\%$

C$.5\mathrm{.}50\%$

d$.10\mathrm{.}49\%$

e$.10\mathrm{.}09\%$