Consider a portfolio consisting of the following three stocks: The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%.  (1)Compute the beta and expected return of each stock.  (2)Using your answer from part a, calculate the expected return of the portfolio.  (3)What is the beta of the portfolio?  (4)Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b.

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Consider a portfolio consisting of the following three stocks:

The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%. 
(1)Compute the beta and expected return of each stock. 
(2)Using your answer from part a, calculate the expected return of the portfolio. 
(3)What is the beta of the portfolio? 
(4)Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b.

### Portfolio Analysis Table

The table below provides a detailed overview of three individual components of a financial portfolio. Each component is evaluated based on its portfolio weight, volatility, and correlation with the market portfolio.

| Component       | Portfolio Weight | Volatility | Correlation with the Market Portfolio |
|-----------------|------------------|------------|--------------------------------------|
| **HEC Corp**    | 0.25             | 12%        | 0.4                                  |
| **Green Midget**| 0.35             | 25%        | 0.6                                  |
| **Alive And Well** | 0.4          | 13%        | 0.5                                  |

#### Key Concepts:

- **Portfolio Weight**: This reflects the proportion of the total portfolio that is invested in each component. 
  - HEC Corp constitutes 25% of the portfolio.
  - Green Midget accounts for 35%.
  - Alive And Well makes up 40%.

- **Volatility**: This indicates the degree of variation in returns for each component, which is a measure of risk.
  - HEC Corp has a volatility of 12%.
  - Green Midget shows higher volatility at 25%.
  - Alive And Well has a volatility of 13%.

- **Correlation with the Market Portfolio**: This measures how each component's returns move in relation to the overall market portfolio.
  - HEC Corp has a correlation of 0.4.
  - Green Midget has a higher correlation of 0.6, indicating more alignment with market movements.
  - Alive And Well's correlation stands at 0.5.

#### Analysis:

Understanding these parameters helps in assessing the risk and potential return of the portfolio. A well-balanced portfolio is designed to maximize returns while minimizing risk through diversification, indicated by adjusted portfolio weights, volatility measures, and correlation with the overall market.
Transcribed Image Text:### Portfolio Analysis Table The table below provides a detailed overview of three individual components of a financial portfolio. Each component is evaluated based on its portfolio weight, volatility, and correlation with the market portfolio. | Component | Portfolio Weight | Volatility | Correlation with the Market Portfolio | |-----------------|------------------|------------|--------------------------------------| | **HEC Corp** | 0.25 | 12% | 0.4 | | **Green Midget**| 0.35 | 25% | 0.6 | | **Alive And Well** | 0.4 | 13% | 0.5 | #### Key Concepts: - **Portfolio Weight**: This reflects the proportion of the total portfolio that is invested in each component. - HEC Corp constitutes 25% of the portfolio. - Green Midget accounts for 35%. - Alive And Well makes up 40%. - **Volatility**: This indicates the degree of variation in returns for each component, which is a measure of risk. - HEC Corp has a volatility of 12%. - Green Midget shows higher volatility at 25%. - Alive And Well has a volatility of 13%. - **Correlation with the Market Portfolio**: This measures how each component's returns move in relation to the overall market portfolio. - HEC Corp has a correlation of 0.4. - Green Midget has a higher correlation of 0.6, indicating more alignment with market movements. - Alive And Well's correlation stands at 0.5. #### Analysis: Understanding these parameters helps in assessing the risk and potential return of the portfolio. A well-balanced portfolio is designed to maximize returns while minimizing risk through diversification, indicated by adjusted portfolio weights, volatility measures, and correlation with the overall market.
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