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 a low stock price for the next year. Suppose we have the following information on a particular company over the past four years.

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

High price $ $27\mathrm{.}53$ $ $26\mathrm{.}42$ $ $30\mathrm{.}52$ $ $37\mathrm{.}11$

Low price $19\mathrm{.}9620\mathrm{.}2825\mathrm{.}7526\mathrm{.}51$

EPS $1\mathrm{.}561\mathrm{.}691\mathrm{.}822\mathrm{.}16$

Earnings are projected to grow at $9\%$ over the next year. $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

a$.$ What is your high target stock price over the next year?

b$.$ What is your low target stock price over the next year?