i$.$ Assume the current one year bond rate is $8\%$ and two forward rates are $8\mathrm{.}5$ and $9\mathrm{.}2\%.$ Calculate the rate for a three year bond.

ii$.$ If the return on a two year bond is $44\%$ and a $1$ year treasury note has a yield of $18\%,$ what is the implied rate a $1$ year treasury note holder earns when he wants to roll it over for another year.