Assume the current interest rate on a $1-$year Treasury bond ${(}_1{R}_1)$ is $4\mathrm{.}50$ percent, the current rate on a $2-$year Treasury bond ${(}_1{R}_2)$ is $5\mathrm{.}25$ percent, and the current rate on a $3-$year Treasury bond ${(}_1{R}_3)$ is $6\mathrm{.}50$ percent. If the unbiased expectations theory of the term structure of interest rates is correct, what is the $1-$year forward rate expected on Treasury bills during year $3,3f_1?($Round your answer to $2$ decimal places.$)$

Expected forward rate