Chomp Champ Inc. is experiencing rapid growth. Dividends are expected to grow at $30\%$ for the next $3$

years, $20\%$ over the following year, and then $6\%$ per year indefinitely. The required rate of return on this

stock is $18\%$ and the stock currently sells for $$42\mathrm{.}50$ per share.

$($a$)$ What is the projected dividend for the coming year?

$($b$)$ What is the expected dividend yield and capital gains yield in Year $1?$