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11 May, 19:34

Last year, Big W Company reported earnings per share of $2.50 when its stock was selling for $50.00. If its earnings this year increase by 10 percent and the P/E ratio remains constant, what will be the price of its stock?

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  1. 11 May, 21:30
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    The price of the stock is $55

    Explanation:

    Computing the present EPS (Earnings per share) as:

    EPS (Earnings per share) = Last year earnings per share * Increase in EPS by 10%

    where

    Increase in EPS by 10% = 1 + Growth rate

    = 1 + 0.1

    = 1.1

    = $2.5 * 1.1

    = $2.75

    Previous P/E ratio is computed as:

    P/E ratio = Selling Price / Last year EPS

    = $50 / $2.5

    = $20

    Now,

    Computing the current stock price as:

    P/E = Market Price per share / Current EPS

    $20 = Market Price per share / $2.75

    $20 * $2.75

    = $55
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