Answered

The common stock of A.G. Tailor has a required return of 16 %. The latest press release stated that last year's dividend (D0) was $0.90 per share and that future dividends will increase by 15% for the following 3 years. After year 3, the dividend growth rate will be 3% indefinitely. What is one share of this stock worth to you today

Answer :

The worth of this share today is $9.61

The two-stage dividend growth model would be used to determine the value of the stock today. There are two stages in this model. In the first stage, there is a high rate of growth. In the second stage, high growth rate falls to a steady growth rate.

Stage 1 of growth

dividend in Y1 = 0.90 x 1.15 = 1.035

dividend in Y2 = 0.90 x 1.15^2 = 1.19

dividend in Y3 = 0.90 x 1.15^3 = 1.37

Stage 2 of growth

Y3 = (3.91 X 1.03) / (0.16 - 0.03) = 10.85

Find the present value of these cash flows

(1.035 / 1.16) + (1.19/ 1.16²) + (1.37 / 1.16³) + (10.85/1.16³) = $9.61

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