Company XYZ closed at $ per share with a P/E ratio of . Answer the following questions. a. How much were earnings per share? b. Does the stock seem overpriced, underpriced, or about right given that the historical P/E ratio is 12-14?

Hello your question is incomplete below is the complete question

Company XYZ closed at $53.02 per share with a P/E ratio of 14.02 .

Answer :

A)  $3.79

B) underpriced

Explanation:

Given data:

Closing price  ( price per share ) = $53.02

P/E ratio = 14.02

A ) How much earnings per share

Earnings per share = price per share / (P/E) ratio

                                =  53.02 / 14.02 =  $3.79

B) To check if the stock is overpriced, underpriced or about right

i) At P/E ratio = 12

 Earnings per share = 53.02 / 12 = $4.43

 Earning yield = ( earning per share / market value ) * 100

                        =  ( 4.43 / 53.02 ) * 100 = 8.33%

ii) At P/E ratio = 13

Earnings per share = 53.02 / 13 = $4.09

Earning Yield = ( earning per share / market value ) * 100

                      = (4.09 / 53.02 ) * 100 = 7.69%

iii) At P/E ratio = 14

Earnings per share = 53.02 / 14 = $ 3.8

Earnings yield = ( earning per share / market value ) * 100

                        = ( 3.8 / 53.02 ) * 100 = 7.14%

The average of the earning yield given P/E ratio is 12-14

= ( 8.33 + 7.69 + 7.14 ) % / 3 = 7.72%

while  The earning yield given P/E ratio is 14.02

=  ( earning per share / market value ) * 100

= ( 3.79 / 53.02 ) * 100 =  7.12%

Therefore the stock is underpriced

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