Suppose we observe the following rates: ${?}_1{R}_1=4\mathrm{.}2\%,{?}_1{R}_2=5\mathrm{.}1\%,$ and $E{(}_2{r}_1)=4\mathrm{.}2\%.$ If the liquidity premium theory of the term structure

of interest rates holds, what is the liquidity premium for year $2?($Round your intermediate calculations to $5$ decimal places and final

answer to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$