Suppose we observe the following rates: ${?}_1{R}_1=13\mathrm{.}0\%,{?}_1{R}_2=16\mathrm{.}0\%,$ and $E{(}_2{r}_1)=19\mathrm{.}0\%.$ If the liquidity premium theory of the

term structure of interest rates holds, what is the liquidity premium for year $2?$

Note: Round your intermediate calculations to $5$ decimal places and final percentage answer to $2$ decimal places $($e$.$g$.,32\mathrm{.}16).$

Liquidity premium for year $2$