What is the expected $1$ year bond yield, $1$ year from now?

$(4)\frac{(1+5\mathrm{.}51-0\mathrm{.}25\%{)}^2}{(1+5\mathrm{.}1-0\mathrm{.}001{)}^1}-1={?}_1{r}_1=5\mathrm{.}50061$

What is the expected $1-$year bond yield, $5$ years frome now?

$\frac{(1+7\mathrm{.}4\%-1\mathrm{.}211{)}^6}{(1+7\mathrm{.}01-1\mathrm{.}01{)}^5}-1=5r_1=\frac{1\mathrm{.}4347}{1\mathrm{.}3382}-1=\mathrm{.}0721100=7\mathrm{.}2112$

What is the expected $3-$year bond yield, $5$ years from now?