Blue Hamster Manufacturing Inc. just reported earnings after tax $($also called net income$)$ of $$8,000,000,$ and a current stock price of $$39\mathrm{.}50$ per share. The company is forecasting an increase of $25\%$ for its after$-$tax income next year, but it also expects it will have to issue $1,500,000$ new shares of stock $($raising its shares outstanding from $5,500,000$ to $7,000,000).$

If Blue Hamster$$s forecast turns out to be correct and its price$-$to$-$earnings $($P$/$E$)$ ratio does not change, what does the company$$s management expect its stock price to be one year from now? $($Note: Round intermediate calculations to four decimal places. Round the expected stock price to two decimal places.$)$

$$38\mathrm{.}80$ per share

$$40$ per share

$$29\mathrm{.}10$ per share

$$48\mathrm{.}50$ per share