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Leokris [45]
4 years ago
7

The common stock of sweet treats is valued at $10.80 a share. the company increases its dividend by 8 percent annually and expec

ts its next dividend to be $0.40 per share. what is the total rate of return on this stock?
Business
1 answer:
N76 [4]4 years ago
3 0
Using the Gordon Growth Model (a.k.a. Dividend Discount Model), the intrinsic value of a stock can be calculated, exclusive of current market conditions. In this model, the value of the stock is equated to the present value of the stock's future dividends. 

<span>Value of stock (P0) = D1 / (k - g)

</span>where
D1<span> = </span><span>expected annual </span>dividend<span> per share in the following year </span>
<span>k = the investor's discount rate or required </span>rate of return
g = the expected dividend growth rate 

<u>From the problem:</u>
The value of stock is $10.80
D1 is $0.40
g is 0.08

k is unknown

Solution:
Rearranging the equation for Gordon Growth Model to solve for k:

k = (D1/P0) + g

Substituting the variables with the given values, 

k = (0.40/10.80) + 0.08
k = 0.1170

In percent form, this is
0.1170 * 100% = 11.70%.

Thus, the total rate of return on the stock is 11.70%.
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