$5-$year Treasury bonds yield $5\mathrm{.}8\%.$ The inflation premium $($IP$)$ is $1\mathrm{.}9\%,$ and the maturity risk premium $($MRP$)$ on $5-$year bonds is $0\mathrm{.}4\%.$ What is the real risk$-$free rate, r$*?$

Select the correct answer.

a$.3\mathrm{.}82\%$

b$.3\mathrm{.}50\%$

c$.4\mathrm{.}14\%$

d$.4\mathrm{.}46\%$

e$.4\mathrm{.}78\%$