The rate of inflation for the next $12$ months $($Year $1)$ is expected to be $1\mathrm{.}4$ percent; it is expected to be $1\mathrm{.}8$ percent the following year $($Year $2)$; and it is expected to be $2\mathrm{.}0$ percent every year after Year $2.$ Assume the real risk$-$free rate, r$*,$ is $3$ percent for all maturities. What should be the nominal risk$-$free rate on bonds that mature in

$($a$)$ one year,

$($b$)$ five years, and

$($c$)10$ years?

There is no maturity risk premium $($MRP$)$ associated with the bonds. $($LO $5-3)$