The real risk$-$free rate of interest is $2\mathrm{.}04\%$ at the beginning of $2021.$ Inflation is expected to be $2\%$ in $2021,$ jump to $4\mathrm{.}00\%$ in $2022,$ and run at $3\%$ in $2023.$ A maturity risk premium is expected to be $0\mathrm{.}15\%$ per year to maturity. A liquidity premium on corporate bonds issued by small companies will continue to be $0\mathrm{.}50\%,$ regardless of their maturities. What should the interest rate on a $3-$year Treasury security be at the beginning of $2021?$

Group of answer choices

$5\mathrm{.}99\%$

$5\mathrm{.}86\%$

$5\mathrm{.}64\%$

$5\mathrm{.}34\%$

$5\mathrm{.}49\%$