Problem $2-14($LG $2-7)$

Based on economists' forecasts and analysis, one$-$year Treasury bill rates and liquidity premiums for the next four years are expected

to be as follows:

${?}_1{R}_1=0\mathrm{.}50\%$

$E{(}_2{r}_1)=0\mathrm{.}91\%,L_2=0\mathrm{.}06\%$

$E(3r_1)=1\mathrm{.}01\%,L_3=0\mathrm{.}17\%$

$E(4r_1)=1\mathrm{.}31\%,L_4=0\mathrm{.}19\%$

Calculate the yield to maturity for four years. $($Round your percentage answers to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$