ACME company just went IPO. ACME won't pay a dividend for the first $3$ years, then expects to pay a $$8$ dividend at the end of the fourth year. The dividend will then grow rapidly by $25\%$ for the next $2$ years. Dividends will then grow by $5\%$ per year forever. If investors require a $14\%$ rate of return, what is the stock price of ACME company today?

Question $17$ options:

$90\mathrm{.}98$

$92\mathrm{.}98$

$94\mathrm{.}98$

$98\mathrm{.}98$

$96\mathrm{.}98$