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17 October, 11:07

3) SNG's stock is selling for $15 per share. The firm's income, assets, and stock price have been growing at an annual 15% rate and are expected to continue to grow at this rate for 3 more years. No dividends have been declared as yet, but the firm intends to declare a $2.00 dividend at the end of the last year of its supernormal growth. After that, dividends are expected to grow at the firm's normal growth rate of 6%. The firm's required rate of return is 18%. You should:

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  1. 17 October, 11:10
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    Since the current stock's price should be $11.97, then the stock is overpriced, so you should not buy it.

    Explanation:

    if we use the dividend growth model to determine the intrinsic stock price:

    Div₃ = $2.00

    Div₄ = $2.12 (6% growth rate)

    using the dividend growth model we can determine the terminal price of the stock in year 3

    P₃ = $2.12 / (18% - 6%) = $17.67

    terminal price in year 3 = $2 + $17.67 = $19.67

    to determine the present value of the stock we must discount the future value by 18%:

    present value = $19.67 / (1 + r) ⁿ = $19.67 / 1.18³ = $11.97

    Since the current stock's price should be $11.97, then the stock is overpriced.
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