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Botox Facial Care had earnings after taxes of $336,000 in 20X1 with 200,000 shares of stock outstanding

Accounting Feb 10, 2021

Botox Facial Care had earnings after taxes of $336,000 in 20X1 with 200,000 shares of stock outstanding. The stock price was $95.60. In 20X2, earnings after taxes increased to $408,000 with the same 200,000 shares outstanding. The stock price was $104.00. 
a. Compute earnings per share and the P/E ratio for 20X1. (The P/E ratio equals the stock price divided by earnings per share.) (Do not round intermediate calculations. Round your final answers to 2 decimal places.) 
Earnings per share 
P/E ratio 
times 
b. Compute earnings per share and the P/E ratio for 20X2. (Do not round intermediate calculations. Round your final answers to 2 decimal places.) 
Earnings per share 

PIE ratio 
times 
c. Why did the P/E ratio change? (Do not round intemediate calculations. Input your answers as percents rounded to 2 decimal places.) 

Expert Solution

Computation of Earning per Share and P/E Ratio for 20x1:    
  P/E Ratio = Share Price / Earnings per Share    
  Particulars 20x1 20x2
A Earning after tax $336,000.00 $408,000 
B No. of shares outstanding 200000 200,000
C = A/B Earnings per share 1.68 2.04
D Share price $95.60  $104 
E = D / C P/E Ratio (times) 56.90 50.98

The share price increased 8.79% while EPS increased 21.43% 20x2 when compared to 20x1.

Since the % of EPS increase is more than the share price increase PE ratio reduced.

 

Workings:

Increase in Share Price = ($104-$95.60)/$95.60 = 8.79%

Increase in Earning per Share (EPS) = (2.04-1.68)/1.68 = 21.43%

 

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