The stock of Townships Ski Resorts, Inc. just paid a dividend of $0.78. What is the expected capital gains yield if the stock is selling for $28.25 today and the required rate of return is 15 percent?
A. 13.62%
B. 12.30%
C. 11.91%
D. 10.73%
Solution:
Dividend just paid: $ 0.78 , Current Price : $28.25 Required rate of return:15%
Let Expected capital Gain is : g
Current Price = Current Dividend * (1+g) / (Required rate of return - g)
$ 28.25 = 0.78 * (1+g) / (0.15 - g)
28.25 * (0.15 - g) = 0.78 + 0.78g
4.2375 - 28.25g = 0.78 + 0.78g
4.2375 - 0.78 = 0.78g + 28.25g
3.4575 = 29.03g
g = 3.4575 / 29.03
g = 3.4575 / 29.03
g = 0.1191 or 11.91%
Hence, Option C. 11.91%, is the correct answer.
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