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15 May, 08:14

Perine, Inc., has balance sheet equity of $5.4 million. At the same time, the income statement shows net income of $783,000. The company paid dividends of $438,480 and has 100,000 shares of stock outstanding. If the benchmark PE ratio is 18, what is the target stock price in one year? Assume the firm will grow at the sustainable growth rate.

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  1. 15 May, 09:10
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    The target stock price in one year is $149.93

    Explanation:

    Fly Away, Inc., has

    Balance sheet equity of (E) = $ 5,400,000

    Also, the income statement shows net income of (NI) = $783,000.

    The company paid dividends of (D) = $438,480

    Shares of stock outstanding (N) = 100,000

    Benchmark PE ratio = 18

    Question = what is the target stock price in one year?

    We need the expected EPS at the end of next year and not this year.

    EPS this year, E₀ = NI / N

    = 783,000 / 100,000

    = $ 7.83

    Retention Ratio, "R" = 1 - Dividend payout ratio = 1 - D/NI

    = 1 - 438,480 / 783,000

    = 1 - 56.00%

    = 44.00%

    Return on equity, ROE = NI / E

    = 783,000 / 5,400,000

    = 14.50%

    Growth rate in earnings, g = R x ROE

    = 44.00% x 14.50%

    = 6.38%

    Hence, expected EPS next year, E₁ = E₀ x (1 + g)

    = $ 7.83 x (1 + 6.38%)

    = $ 8.33

    Hence, target price next year, P = Benchmark PE ratio x E₁

    = 18 x $8.33

    = $149.93

    The target stock price in one year = $149.93
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