CFA CFA Level 2 Leading P/E derived from Gordon Growth Model

Leading P/E derived from Gordon Growth Model

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    • Avatar of ok27ok27
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        • CFA Level 2
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        I do not understand how we arrive to the formula. Why do we divide the numerator by E1 only and leave the denominator r-g unchanged. Do you have the demonstration of the formula for me? Many thanks for your help and time.

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        We divide both sides of the formula by E1, rather than numerator and denominator, to my understanding.

        P0 = D1 / (r – g)
        P0/E1 = (D1/E1) / (r – g)

        Where

        • P0 = price/value at period 0
        • E1 = earnings at period 1
        • r = required return
        • g = dividend growth rate

        We leave (r – g) alone because we want to ‘create’ D1/E1, which is the dividend payout ratio, which is (1 – b):

        P0/E1 = (D1/E1) / (r – g)
        P0/E1 = (1 – b) / (r – g)

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