Problem $2-19($LG $2-8)$

On March $11,20$XX$,$ the existing or current $($spot$)$ one$-$year, two$-$year, three$-$year, and four$-$year zero$-$

coupon Treasury security rates were as follows:

${?}_1{R}_1=4\mathrm{.}90\%,{?}_1{R}_2=5\mathrm{.}10\%,{?}_1{R}_3=5\mathrm{.}40\%,{?}_1{R}_4=5\mathrm{.}80\%$

Using the unbiased expectations theory, calculate the one$-$year forward rates on zero$-$coupon

Treasury bonds for years two, three, and four as of March $11,20$XX$.$

Note: Do not round intermediate calculations. Round your percentage answers to $2$ decimal places

$($e$.$g$.,32\mathrm{.}16).$