Suppose a stock has a current dividend of $3. In the first 4 years, the stock will grow at 8% per year. The stock will pay the following dividends and has the following required return: Year 1 dividend: Year 2 dividend: Year 3 dividend: Year 4 dividend: Required return: 12.0% After the fourth year, the dividends will grow at: 6.0% What is the price of the stock? First, we need to find the price of the stock when it begins a constant growth rate, which is in Year 4. The price of the stock in Year 4 will be: Price in Year 4: The price today is the present value of the future dividends, plus the present value of the future price, so: Price today: Suppose we have a stock with the following information: Dividend Next year: $ 5.00 Dividend growth rate: 6.00% Required return: 15.00% With this growth rate, the dividend next year will be: So, the stock price today with the constant dividend growth model is: Stock price today: The constant dividend growth equation is the present value of a growing perpetuity, but we should cautio same information from above, we can calculate the stock price for various growth rates. g 0.00% 1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00% 9.00% 10.00% Stock price
Suppose a stock has a current dividend of $3. In the first 4 years, the stock will grow at 8% per year. The stock will pay the following dividends and has the following required return: Year 1 dividend: Year 2 dividend: Year 3 dividend: Year 4 dividend: Required return: 12.0% After the fourth year, the dividends will grow at: 6.0% What is the price of the stock? First, we need to find the price of the stock when it begins a constant growth rate, which is in Year 4. The price of the stock in Year 4 will be: Price in Year 4: The price today is the present value of the future dividends, plus the present value of the future price, so: Price today: Suppose we have a stock with the following information: Dividend Next year: $ 5.00 Dividend growth rate: 6.00% Required return: 15.00% With this growth rate, the dividend next year will be: So, the stock price today with the constant dividend growth model is: Stock price today: The constant dividend growth equation is the present value of a growing perpetuity, but we should cautio same information from above, we can calculate the stock price for various growth rates. g 0.00% 1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00% 9.00% 10.00% Stock price
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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Question
![Suppose a stock has a current dividend of $3. In the first 4 years, the stock will grow at 8% per year. The stock will pay the following dividends and has the following required return:
Year 1 dividend:
Year 2 dividend:
Year 3 dividend:
Year 4 dividend:
Required return:
12.0%
After the fourth year, the dividends will grow at:
6.0%
What is the price of the stock? First, we need to find the price of the stock when it begins a constant growth rate, which is in Year 4. The price of the stock in Year 4 will be:
Price in Year 4:
The price today is the present value of the future dividends, plus the present value of the future price, so:
Price today:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ae0660d-5301-4b30-8361-0f1bb7fa4959%2F5f440b84-a7b8-43a3-854b-21a0769e609d%2Fs2nebhq_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose a stock has a current dividend of $3. In the first 4 years, the stock will grow at 8% per year. The stock will pay the following dividends and has the following required return:
Year 1 dividend:
Year 2 dividend:
Year 3 dividend:
Year 4 dividend:
Required return:
12.0%
After the fourth year, the dividends will grow at:
6.0%
What is the price of the stock? First, we need to find the price of the stock when it begins a constant growth rate, which is in Year 4. The price of the stock in Year 4 will be:
Price in Year 4:
The price today is the present value of the future dividends, plus the present value of the future price, so:
Price today:
![Suppose we have a stock with the following information:
Dividend Next year:
$
5.00
Dividend growth rate:
6.00%
Required return:
15.00%
With this growth rate, the dividend next year will be:
So, the stock price today with the constant dividend growth model is:
Stock price today:
The constant dividend growth equation is the present value of a growing perpetuity, but we should cautio
same information from above, we can calculate the stock price for various growth rates.
g
0.00%
1.00%
2.00%
3.00%
4.00%
5.00%
6.00%
7.00%
8.00%
9.00%
10.00%
Stock price](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ae0660d-5301-4b30-8361-0f1bb7fa4959%2F5f440b84-a7b8-43a3-854b-21a0769e609d%2F8g1loyk_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose we have a stock with the following information:
Dividend Next year:
$
5.00
Dividend growth rate:
6.00%
Required return:
15.00%
With this growth rate, the dividend next year will be:
So, the stock price today with the constant dividend growth model is:
Stock price today:
The constant dividend growth equation is the present value of a growing perpetuity, but we should cautio
same information from above, we can calculate the stock price for various growth rates.
g
0.00%
1.00%
2.00%
3.00%
4.00%
5.00%
6.00%
7.00%
8.00%
9.00%
10.00%
Stock price
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