Seminole Corporation common stock currently sells for $32 per share. The firm recently paid a dividend of $1.25 per share. Flotation costs for new external equity are $3 per share. Analysts have forecast that earnings and dividends will grow at an average annual rate of 7% percent well into the future. What is the company's cost of internal equity?

The cost of internal equity is 11.18%

Explanation:

The constant growth model of DDM can be used to calculate the price of a stock if the growth rate in the dividend is expected to remain constant. The DDM values the stock based on the present value of the expected future dividends from the stock.

The formula for price today under DDM is,

P0 = D0 * (1+g) / r - g

We already know the P0, the D0 and the g. We can plug in these values in the formula to calculate r which is the cost of equity capital.

32 = 1.25 * (1+ 0.07)  /  (r - 0.07)

32 * (r - 0.07) = 1.3375

32r - 2.24 = 1.3375

32r = 1.3375 + 2.24

r = 3.5775 / 32

r = 0.11179 or 11.179%

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