MMK Cos. normally pays an annual dividend. The last such dividend paid was $2.05, all future dividends are expected to grow at a rate of 8 percent per year, and the firm faces a required rate of return on equity of 13 percent. If the firm just announced that the next dividend will be an extraordinary dividend of $24.80 per share that is not expected to affect any other future dividends, what should the stock price be? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
D0 | 2.05 | |||
For the first two years | ||||
g | 0.08 | |||
D1e (extraordinary dividend) | 24.8 | |||
D1o (ordinary dividend) | (2.05*(1.08)) | |||
D1o (ordinary dividend) | 2.214 | |||
Find the price of the stock in year 0 + present value of extraordinary dividend | ||||
According to the dividend growth model. | ||||
P0 = D1o/(R-g) | ||||
where R is .13 | ||||
P0 | 2.214/(.13-.08) | |||
P0 | 44.28 | |||
The value of the stock today = sum of present value of future cash flows. | ||||
Using R = .13 | ||||
Year | 1 | 2 | 3 | |
Cash flow (extraordinary dividend) | 24.8 | |||
Cash flow (ordinary dividend) | 2.214 | 2.39112 | 2.58241 | |
Present value (extraordinary dividend) | 21.95 | |||
P0 + present value extraordinary dividend | 44.28+21.95 | |||
P0 + present value extraordinary dividend | 66.23 | |||
The stock price should be $66.23. |
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