A firm has a stock price of $68.00 per share. The firm's earnings are $85 million, and the firm has 20 million shares outstanding. The firm has an ROE of 11% and a plowback of 70%. What is the firm's PEG ratio

Respuesta :

Answer:

2.1

Explanation:

A firm has a stock price of $68.00 pet share

The firm's earning are $85,000,000

The firm has $20,000,000 outstanding

They have an ROE of 11% and a Plow back ratio of 70%

The first step is to calculate the EPS

EPS= $85,000,000/$20,000,000

= $4.25

P/E= $68.00/$4.25

= 16

g= 11×70

= 770/100

= 7.7%

Therefore the PEG ratio can be calculated as follows

PEG ratio= 16/7.7

= 2.1

Hence the firm PEG ratio is 2.1

The PEG ratio that is the Price to Earnings Growth ratio is the ratio analytical tool that measures the expected growth in the earnings with the change in the share prices. It determines the valuation of stock amongst various other stocks.

The firms' PEG ratio is 2.1.

Computation:

Given,

Stock price =$68 per share

Total earning =$85,000,000

Outstanding balance =$20,000,000

ROE =11%

Plowback ratio =70%

[tex]\rm{PEG ratio}=\dfrac{\text{P/E}}{\text{Annual Growth rate}}\\\\=\dfrac{\$16}{7.70\%}\\\\=2.1[/tex]

Working Note:

Computation of EPS:

[tex]\rm{EPS}=\dfrac{Total \;Earning}{Outstanding\;Amount}\\\\=\dfrac{\$85,000,000}{\$20,000,000}\\\\=\$4.25[/tex]

Computation of P/E:

[tex]\rm{P/E}=\dfrac{Stock\;Price}{EPS}\\\\=\dfrac{\$68}{\$4.25}\\\\=\$16[/tex]

Computation of annual growth rate:

[tex]\rm{Annual growth rate}=ROE\;\times\;plowback\;period\\\\=11\%\;\times\;70\%\\\\=7.70\%[/tex]

To know more about ratio analysis, refer to the link:

https://brainly.com/question/14985423