11. The current market price of a share of common stock is $67.50. The cash dividend paid now is $5 [ D0 ]. The dividends are expected to grow at a constant rate of 8% per year for ever. The required rate of return on the common stock is 16%. Then the following is true according to the constant dividend growth model:
a. the stock is underpriced b. the stock is overpriced c. the stock is correctly priced
Required Rate of Return ( Ke)= | 16.00% | |||||
Dividend Paid (Do)= | $ 5 | |||||
Growth rate (g)= | 8.00% | |||||
According to Constant dividend growth model: | ||||||
Fair Price of Share (Po)= | Do ( 1+g) /(ke-g) | |||||
Fair Price of Share (Po)= | $ 5 ( 1+ 0.08)/(0.16 - 0.08) | |||||
Fair Price of Share (Po)= | $ 5.40 / 0.08 | |||||
Fair Price of Share (Po)= | $ 67.50 | |||||
Current Market Price of Share= | $ 67.50 | |||||
Since Current Market price of share is equal to the fair price of share as calculated, thus | ||||||
the stock is correctly priced | ||||||
Therefore answer would be c. i.e. the stock is correctly priced. |
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