Suppose we observe the following rates: ${?}_1{R}_1=10\%,{?}_1{R}_2=14\%,$ and $E{(}_2{r}_1)=18\%.$ 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 $3$ decimal places $($e$.$g$.,32\mathrm{.}161).$