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:

$R_1,=1\mathrm{.}05\%,$

$E(2r_1),=2\mathrm{.}20\%,L_2=,0\mathrm{.}06\%$

$E(3r_1)=,2\mathrm{.}30\%,L_3=,0\mathrm{.}08\%$

$E(4r_1),=2\mathrm{.}60\%,L_4=,0\mathrm{.}10\%$

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

Note: Do not round intermediate calculations. Round your percentage answers to $2$ decimal places $($i$.$e$.,0\mathrm{.}1234$ should be entered

as $12\mathrm{.}34).$