Based on economists' forecasts and analysis, $1-$year Treasury bill rates

and liquidity premiums for the next four years are expected to be as

follows:

$R_1,=1\mathrm{.}00\%,$

$E(2r_1),=2\mathrm{.}15\%,L_2=,0\mathrm{.}05\%$

$E(3r_1),=2\mathrm{.}25\%,L_3=,0\mathrm{.}10\%$

$E(4r_1),=2\mathrm{.}55\%,L_4=,0\mathrm{.}12\%$

Using the liquidity premium theory, determine the current $($long$-$term$)$

rates. $($Do not round intermediate calculations. Round your answers

to $2$ decimal places.$)$

Answer is complete but not entirely correct.