If you look at stock prices over any year, you will find a high and low stock price for the year. Instead of a single benchmark PE ratio, we now have a high and low PE ratio for each year. We can use these ratios to calculate a high and a low stock price for the next year. Suppose we have the following information on a particular company:

Year $1$ Year $2$ Year $3$ Year $4$

High price $$85\mathrm{.}90$ $$95\mathrm{.}66$ $$116\mathrm{.}78$ $$128\mathrm{.}77$

Low price $68\mathrm{.}5280\mathrm{.}1883\mathrm{.}70106\mathrm{.}40$

EPS $6\mathrm{.}478\mathrm{.}898\mathrm{.}5510\mathrm{.}14$

Earnings are projected to grow at $6$ percent over the next year.

What are the high and low PE ratios for each year?