a. What is the value of the stock if the current dividend is $1.30, the first stage growth is 18 percent, the second stage growth is 9 percent, and the discount rate is 11 percent? b. What is the value of the stock if the current dividend is $1.30, the first stage growth is 2 percent, the second stage growth is 8 percent, and the discount rate is 9.5 percent? c. What is the value of the stock if the current dividend is $2.50, the first stage growth is 15 percent, the second stage growth is 7 percent, and the discount rate is 10 percent?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Assume that the first 5 years is the first stage and, years thereafter is the second stage of growth.

### Dividend Growth Model Analysis

#### Input and Calculation Table

|   |   |   |   |   |   |
|---|---|---|---|---|---|
|1. | **Current dividend =** |   |   |   |
|2. | **First-stage growth =** |   |   |   |
|3. | **Second-stage growth =** |   |   |   |
|4. | **Discount rate =** |   |   |   |
|   |   |   |   |   |   |
|7. | **Year** | **1** | **2** | **3** | **4** | **5** |
|8. | **Projected dividend** |   |   |   |   |   |
|   |   |   |   |   |   |
|10. | **Present value =** |   |   |   |   |
|   |   |   | | **Terminal price =** |   |   |

### Questions

a. What is the value of the stock if the current dividend is $1.30, the first stage growth is 18 percent, the second stage growth is 9 percent, and the discount rate is 11 percent?

b. What is the value of the stock if the current dividend is $1.30, the first stage growth is 2 percent, the second stage growth is 8 percent, and the discount rate is 9.5 percent?

c. What is the value of the stock if the current dividend is $2.50, the first stage growth is 15 percent, the second stage growth is 7 percent, and the discount rate is 10 percent?

### Explanation

This table and set of questions are designed to analyze the future value of a stock based on current dividends, growth rates, and a discount rate. By filling in the table, one can project dividends over a specified number of years and calculate the present value. The "Terminal price" represents the stock's value at the end of the projection period, reflecting long-term growth expectations.
Transcribed Image Text:### Dividend Growth Model Analysis #### Input and Calculation Table | | | | | | | |---|---|---|---|---|---| |1. | **Current dividend =** | | | | |2. | **First-stage growth =** | | | | |3. | **Second-stage growth =** | | | | |4. | **Discount rate =** | | | | | | | | | | | |7. | **Year** | **1** | **2** | **3** | **4** | **5** | |8. | **Projected dividend** | | | | | | | | | | | | | |10. | **Present value =** | | | | | | | | | | **Terminal price =** | | | ### Questions a. What is the value of the stock if the current dividend is $1.30, the first stage growth is 18 percent, the second stage growth is 9 percent, and the discount rate is 11 percent? b. What is the value of the stock if the current dividend is $1.30, the first stage growth is 2 percent, the second stage growth is 8 percent, and the discount rate is 9.5 percent? c. What is the value of the stock if the current dividend is $2.50, the first stage growth is 15 percent, the second stage growth is 7 percent, and the discount rate is 10 percent? ### Explanation This table and set of questions are designed to analyze the future value of a stock based on current dividends, growth rates, and a discount rate. By filling in the table, one can project dividends over a specified number of years and calculate the present value. The "Terminal price" represents the stock's value at the end of the projection period, reflecting long-term growth expectations.
The image presents a table designed for a spreadsheet problem focused on computing the value of a variable growth rate firm over a five-year horizon. Here is the transcribed content:

**8-38 Spreadsheet Problem**

Design a spreadsheet similar to the one below to compute the value of a variable growth rate firm over a five-year horizon.

---

|     | A          | B     | C  | D  | E  | F              |
|-----|------------|-------|----|----|----|----------------|
| 1   | **Inputs** |       |    |    |    |                |
| 2   | Current dividend =      |    |    |    |    |                |
| 3   | First-stage growth =    |    |    |    |    |                |
| 4   | Second-stage growth =   |    |    |    |    |                |
| 5   | Discount rate =         |    |    |    |    |                |
| 6   |                        |    |    |    |    |                |
| 7   | **Year**   | 1     | 2  | 3  | 4  | 5              |
| 8   | Projected dividend      |    |    |    |    | Terminal price = |

* **Inputs Section (Rows 1-5):** This section is provided to enter financial inputs necessary for the calculations:
  - Current dividend
  - First-stage growth rate
  - Second-stage growth rate
  - Discount rate

* **Year and Projection Section (Rows 7-8):** This part of the table includes:
  - Year numbers (1 through 5) to project dividends for each respective year.
  - A space to enter projected dividend amounts for each year and a terminal price for the final year.
Transcribed Image Text:The image presents a table designed for a spreadsheet problem focused on computing the value of a variable growth rate firm over a five-year horizon. Here is the transcribed content: **8-38 Spreadsheet Problem** Design a spreadsheet similar to the one below to compute the value of a variable growth rate firm over a five-year horizon. --- | | A | B | C | D | E | F | |-----|------------|-------|----|----|----|----------------| | 1 | **Inputs** | | | | | | | 2 | Current dividend = | | | | | | | 3 | First-stage growth = | | | | | | | 4 | Second-stage growth = | | | | | | | 5 | Discount rate = | | | | | | | 6 | | | | | | | | 7 | **Year** | 1 | 2 | 3 | 4 | 5 | | 8 | Projected dividend | | | | | Terminal price = | * **Inputs Section (Rows 1-5):** This section is provided to enter financial inputs necessary for the calculations: - Current dividend - First-stage growth rate - Second-stage growth rate - Discount rate * **Year and Projection Section (Rows 7-8):** This part of the table includes: - Year numbers (1 through 5) to project dividends for each respective year. - A space to enter projected dividend amounts for each year and a terminal price for the final year.
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