The following table contains data to calculate forward rates using pure expectations theory.

a$)$ Find the yield on a $20$ year bond, $10$ years forward ${(}_{10}{r}_{20}).$

b$)$ Find the yield on a $5$ year bond, $2$ years forward $(2r_5).$

$\backslash$table$[[$Maturity$,$Yield$],[1$ year,$4\mathrm{.}73\%$

SHOW ALL WORK IN EXCEL FORMAT FOR A LIKE.