Answer:
$16.821.
Step-by-step explanation:
Earnings per share (EPS) is a profitability ratio that helps to determine how much of earnings, income after paying all the expenses, interest, taxes, and preferred dividend, are generated by the company for each outstanding common share. A higher EPS indicates better profitability. It is calculated as follows:
Earnings per share (EPS) =
Net Income Available to Common Shareholders / No. of common outstanding shares
On the other hand, P/E ratio is a metric of relative valuation. It tells us about the investors' behavior and the demand for shares of a company. This metric indicates that how much an investor is willing to pay for each earnings per share (EPS). The P/E ratio of a company is compared with that of industry to value the company, that's why is known as the metric of relative valuation. It is calculated as follows:
P/E ratio = Price per share / Earnings per share
In the question given, we need to calculate the expected earnings per share that is the next year earnings, then simply re-arrange the equation of P/E ratio to calculate the estimated stock price.
⇒ Estimated Earnings per Share = .89 * (1 + 5%) = $.9345.
Now put this value along with expected P/E ratio of industry in the equation of P/E ratio, and re-arrange the equation;
⇒ 18 = Price per share / .9345
OR Price per share = 18 * 0.9345
⇒ Price per share = $16.821.