In practice, a common way to value a share of stock when a company pays dividends is to value the dividends over the next five years or so$,$ then find the $$terminal$$ stock price using a benchmark PE ratio. Suppose a company just paid a dividend of $$1\mathrm{.}41.$ The dividends are expected to grow at $13$ percent over the next five years. In five years, the estimated payout ratio will be $30$ percent and a benchmark PE will be $19.$ The required return is $11$ percent.

What is the target stock price in five years?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

What is the stock price today?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$