A one$-$year zero$-$coupon bond yields $4\mathrm{.}0\%.$ The two$-$ and three$-$year zero$-$coupon bonds yield $5\mathrm{.}0\%$ and $6\mathrm{.}0\%$ respectively.

Find the forward rate for a one$-$year loan beginning in one year.

Find the forward rate for a two$-$year loan beginning in one year.

Find the forward rate for a one$-$year loan beginning in two years.