$8-13$ P$/$E Ratio Model and Future Price Kellogg Co$.($K$)$ recently earned a profit of $$2\mathrm{.}52$ earnings per share and has a $\frac{P}{E}$ ratio of $13\mathrm{.}5.$ The dividend has been growing at a $5$ percent rate over the past few years. If this growth rate continues, what would be the stock price in five years if the $\frac{P}{E}$ ratio remained unchanged? What would the price be if the $\frac{P}{E}$ ratio declined to $12$ in five years? $(U8-7)$