26. Two stocks, one high risk (Happy) and one low risk (Lonely), have been evaluated by your company. Your stock analysis team has predicted estimated returns and beta risk in the table below for the two stocks and the market. Using this information, and the CAPM model, draw the risk-return graph, with the security market line, and place the Est(R) and the CAPM required rate of return in their appropriate places on the graph and indicate to me on the graph why Happy and Lonely are either over-valued or under-valued. Provide your answer in the uploaded document. Est(R) Market Happy Lonely 26 33 The risk-free rate is 3% Beta 1.00 1.20 0.75
26. Two stocks, one high risk (Happy) and one low risk (Lonely), have been evaluated by your company. Your stock analysis team has predicted estimated returns and beta risk in the table below for the two stocks and the market. Using this information, and the CAPM model, draw the risk-return graph, with the security market line, and place the Est(R) and the CAPM required rate of return in their appropriate places on the graph and indicate to me on the graph why Happy and Lonely are either over-valued or under-valued. Provide your answer in the uploaded document. Est(R) Market Happy Lonely 26 33 The risk-free rate is 3% Beta 1.00 1.20 0.75
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
Problem 1PS
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Question
![### Stock Analysis and Risk-Return Calculation
**Problem Statement:**
Two stocks, one high risk (Happy) and one low risk (Lonely), have been evaluated by your company. Your stock analysis team has predicted estimated returns and beta risk in the table below for the two stocks and the market. Using this information, and the CAPM model, draw the risk-return graph, with the security market line, and place the Est(R) and the CAPM required rate of return in their appropriate places on the graph. Indicate on the graph why Happy and Lonely are either over-valued or under-valued. Provide your answer in the uploaded document.
#### Data Table:
| | Est(R) | Beta |
|---------------|--------|------|
| Market | 26 | 1.00 |
| Happy | 33 | 1.20 |
| Lonely | 14 | 0.75 |
The risk-free rate is 3%.
#### Explanation:
1. **CAPM (Capital Asset Pricing Model) Formula:**
\[
\text{CAPM Required Rate of Return} = R_f + \beta \times (R_m - R_f)
\]
Where:
- \( R_f \) is the risk-free rate
- \( \beta \) is the beta of the stock
- \( R_m \) is the market return
2. **Security Market Line (SML):**
The SML plots the relationship between the expected return of an investment and its risk (represented by beta). The y-axis represents the expected return, and the x-axis represents beta.
3. **Graph Details:**
- **X-Axis:** Beta (Risk)
- **Y-Axis:** Expected Return
- **Plot Points:**
- Market: (Beta = 1.00, Est(R) = 26)
- Happy: (Beta = 1.20, Est(R) = 33)
- Lonely: (Beta = 0.75, Est(R) = 14)
4. **Steps to Determine Over-Valued or Under-Valued:**
- Calculate the CAPM required rate of return for Happy and Lonely.
- Compare these to their estimated returns (Est(R)).
- Plot these points on the risk-return graph.
- Points above the SML indicate an under-valued stock (higher than required](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c9e2dde-1c19-44ed-a9d3-170191d095c3%2F3b4b23a5-1707-4ac2-adf1-40facb9335bb%2F1pigwgh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Stock Analysis and Risk-Return Calculation
**Problem Statement:**
Two stocks, one high risk (Happy) and one low risk (Lonely), have been evaluated by your company. Your stock analysis team has predicted estimated returns and beta risk in the table below for the two stocks and the market. Using this information, and the CAPM model, draw the risk-return graph, with the security market line, and place the Est(R) and the CAPM required rate of return in their appropriate places on the graph. Indicate on the graph why Happy and Lonely are either over-valued or under-valued. Provide your answer in the uploaded document.
#### Data Table:
| | Est(R) | Beta |
|---------------|--------|------|
| Market | 26 | 1.00 |
| Happy | 33 | 1.20 |
| Lonely | 14 | 0.75 |
The risk-free rate is 3%.
#### Explanation:
1. **CAPM (Capital Asset Pricing Model) Formula:**
\[
\text{CAPM Required Rate of Return} = R_f + \beta \times (R_m - R_f)
\]
Where:
- \( R_f \) is the risk-free rate
- \( \beta \) is the beta of the stock
- \( R_m \) is the market return
2. **Security Market Line (SML):**
The SML plots the relationship between the expected return of an investment and its risk (represented by beta). The y-axis represents the expected return, and the x-axis represents beta.
3. **Graph Details:**
- **X-Axis:** Beta (Risk)
- **Y-Axis:** Expected Return
- **Plot Points:**
- Market: (Beta = 1.00, Est(R) = 26)
- Happy: (Beta = 1.20, Est(R) = 33)
- Lonely: (Beta = 0.75, Est(R) = 14)
4. **Steps to Determine Over-Valued or Under-Valued:**
- Calculate the CAPM required rate of return for Happy and Lonely.
- Compare these to their estimated returns (Est(R)).
- Plot these points on the risk-return graph.
- Points above the SML indicate an under-valued stock (higher than required
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