Suppose that today the $1$ Year T$-$Bill is yielding $4\%$ and you believe...

that $1$ year from now, the $1$ year Bill will be $6\%$ and you believe...

that $2$ years from now the $1$ year bill will be yielding $5\%$ and you believe

that $3$ years now the $1$ year bill will be yielding $7\%$

According to the Expectation Theory, what should the $4$ year T$-$note be yielding today??

Again, use our normal format for $\%$s$....$If your answer is $12\mathrm{.}34\%(\mathrm{.}1234)$ simply enter $12\mathrm{.}34$ no $\%$ sign

$($I know the answer is $5\mathrm{.}5$ but I need help getting there$)$