Assume the current interest rate on a $1-$year Treasury bond ${(}_1{R}_1)$ is $5\mathrm{.}00$ percent, the current rate on a $2-$year Treasury bond

${(}_1{R}_2)$ is $5\mathrm{.}75$ percent, and the current rate on a $3-$year Treasury bond ${(}_1{R}_3)$ is $7\mathrm{.}00$ 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 $3,{?}_3{f}_1?$

$($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$