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A company's price to earnings ratio is the price of 1 share of that company's stock divided by that company's most recent annual earnings per share of stock. Using the information in the table above, by what percent did Alpha Company's price to earnings ratio change from the end of 2005 to the end of 2006 ?
A. -100%
B. -50%
C. -10%
D. 50%
E. 100%
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Price to earnings ratio = \(\frac{\text{Price of 1 share}}{\text{Most recent annual earnings per share of stock}}\)
End of 2005- Stock Price per share = $24
- Annual Earnings per share of stock = $1.2
Price to earnings ratio = \(\frac{24}{1.2} = 20\)
End of 2006- Stock Price per share = $24
- Annual Earnings per share of stock = $2.4
Price to earnings ratio = \(\frac{24}{2.4} = 10\)
Change %= \(\frac{\text{Final - Initial} }{\text{Initial} } * 100\)
Change %= \(\frac{10 - 20 }{20} * 100 = -50%\)