Question $3(20$ points$)$

Consider the following three stocks:

Stock $A$ is expected to provide a dividend of $$20$ a share forever.

Stock $B$ is expected to pay a dividend of $$12$ per share at the end of the first year.

Thereafter, dividend growth is expected to be $5\%$ a year forever.

Stock $C$ is expected to pay a dividend of $$10$ per share at the end of the first year.

Thereafter, dividend growth is expected to be $20\%$ a year for four years $($i$.$e$.,$ until time

$,0\%$ for the next $10$ years $($i$.$e$.,$ until time $15),$ and then $5\%$ a year forever.

If the market capitalization rate for each stock is $10\%,$ what is the share price of each stock

Express final answers to the nearest penny.