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You forecast that a share of stock in Bumbershoot Co. will pay a $5.00 dividend one year from now. Additionally, you predict that dividends will

You forecast that a share of stock in Bumbershoot Co. will pay a $5.00 dividend one year from now. Additionally, you predict that dividends will then grow by 20.00% for two years. Across years 4, 5, and 6, dividends will grow by 10.00%.

Finally, you forecast for dividends to grow by 6.00% forever. Use a required rate of return of 14.00% and calculate a fair price for a share of this stock today. [All growth rates and the required return are all per year.]

In class, we covered how to identify the "anchor dividend" for the delayed, growing perpetuity portion of the infinite stream of dividends. For this problem, the "anchor dividend" is

enter your response here. [For the fill-in-the-blank answer here, please use the notation of the format Div1, Div2, etc. and enter your text answer to indicate the "anchor dividend". Recall that Div1 is short-hand lingo for the dividend at t=1, Div2 is short for the dividend at t=2, etc.]

"Diagramming the Play": In words, the solution to this problem [that you will deploy next] involves calculating (1) present values of enter your response here single-sum dividends and (2) the present value of the delayed, growing perpetuity that's anchored by enter your response here.

[For the first fill-in-the-blank, enter the number of single sums (spelled out as as a word (e.g., one, two, three, or whatever)). In the second fill-in-the-blank, enter the same answer here as you entered above.]

Okay, now calculate the stock's price.

Answer:

[Round your answer to the nearest cent.]

Here is a timeline to help you to organize your math.

time

0

1

2

3

4

5

6

7

8

etc.

Div(t)

5.00

5.00

x 1.20

5.00

x 1.20^2

5.00

x 1.20^2

x 1.10

5.00

x 1.20^2

x 1.10^2

5.00

x 1.20^2

x 1.10^3

[ANCHOR]

5.00

x 1.20^2

x 1.10^3

x

1.06

5.00

x 1.20^2

x 1.10^3

x

1.06^2

g=6.00%

forever

or, even more simplified to show actual dividend numbers:

time

0

1

2

3

4

5

6

7

8

etc.

Div(t)

5.00

6.00

7.20

7.92

8.7120

9.5832

[ANCHOR]

9.5832

x

1.06

9.5832

x

1.06^2

g=6.00%

forever

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