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den301095 [7]
2 years ago
10

The Bell Weather Co. is a new firm in a rapidly growing industry. The company is planning on increasing its annual dividend by 1

8 percent a year for the next 4 years and then decreasing the growth rate to 6 percent per year. The company just paid its annual dividend in the amount of $3.20 per share. What is the current value of one share of this stock if the required rate of return is 8.70 percent
Business
1 answer:
Keith_Richards [23]2 years ago
7 0

Answer:

$259.34

Explanation:

the value of the stock can be determined using the two stage dividend discount model.

In the first stage, the present value would be determined using a discount rate of 18%.

In the second stage, the present value would be determined using a discount rate of 6%.

Values from the first and second stage would be added together to determine the value of the stock

First stage

Present value in year 1 = ($3.2 x 1.18) / 1.087 = $3.47

Present value in year 2 = ($3.2 x 1.18²) / 1.087² = $3.77

Present value in year 3 = ($3.2 x 1.18³) / 1.087³ = $4.09

Present value in year 4 = ($3.2 x 1.18^4) / 1.087^4 = $4.44

Second stage

($3.2 x 1.18^4 x 1.06) / (0.087 - 0.06) = 243.57

Value of the stock = $3.47 + $3.77 + $4.09 + $4.44 +  243.57 = $259.34

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Answer:

6.80%

Explanation:

The average nominal returns is the sum of the returns for 5 years divided by the number of returns considered( i.e 5, 5 returns for 5 years)

average nominal returns=(6%-13%+24%+18%+15%)/5

average nominal returns=10.00%

The Fisher's equation is shown thus:

(1 + i)  = (1 + r) (1 + π)

i=nominal return=10.00%

r=average real return=the unknown

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(1+10.00%)=(1+r)*(1+3%)

1.10=(1+r)*1.03

1+1=1.10/1.03

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