Answer:
$105.60
Step-by-step explanation:
Given: Total dividend paid= $1100000.
Retained earning= $3300000.
Number of outstanding shares= 725000.
PE ratio= 17.4 times.
First finding earning per share.
Formula;
![EPS= ((paid\ dividend+ additional\ retained\ earning))/(number\ of\ outstanding\ shares)](https://img.qammunity.org/2021/formulas/business/college/3h2lzqq4u7d8hbwvjaofhbuunhtz6a2r8q.png)
⇒
![EPS= ((1100000+3300000))/(725000)](https://img.qammunity.org/2021/formulas/business/college/251gccc5at5ymqgqnyofm6vwy2b1q39qb7.png)
⇒
![EPS= (4400000)/(725000)](https://img.qammunity.org/2021/formulas/business/college/tgqf65ubkpyfqs0sdr3jfwtd1wbonuy9by.png)
∴
![EPS= \$ 6.0689 \approx \$ 6.07](https://img.qammunity.org/2021/formulas/business/college/gwqcgpmd7dpv5z524jcl3aiy9n34md9ocr.png)
Hence, earning per share (EPS)= $6.07.
Now, finding the appropriate stock price.
Price of stock=
![EPS* PE](https://img.qammunity.org/2021/formulas/business/college/67l8godrt7e6eewzb7hbd5pvaag00rh00b.png)
⇒ Price of stock=
![\$ 6.07* 17.4](https://img.qammunity.org/2021/formulas/business/college/p1ncenojqgkhy3m8qxnco20v55wr7zdjbh.png)
∴ Price of stock=
![\$ 105.60](https://img.qammunity.org/2021/formulas/business/college/41tw1icqucybaalqphxpzzurmr2wiuxy09.png)
Hence, $105.60 would be the appropriate price of stock.