Consider the following information for three stocks, Stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A 8.30 % 15 % 0.7 B 10.30   15   1.2 C 11.50   15   1.5 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 5.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.     Open spreadsheet   What is the market risk premium (rM - rRF)? Round your answer to two decimal places. fill in the blank 2% What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. fill in the blank 3 What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. fill in the blank 4% Would you expect the standard deviation of Fund P to be less than 15%, equal to 15%, or greater than 15%?   less than 15% greater than 15% equal to 15%

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
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Consider the following information for three stocks, Stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.)

Stock Expected Return Standard Deviation Beta
A 8.30 % 15 % 0.7
B 10.30   15   1.2
C 11.50   15   1.5

Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 5.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

 

 
Open spreadsheet

 

  1. What is the market risk premium (rM - rRF)? Round your answer to two decimal places.

    fill in the blank 2%

  2. What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places.

    fill in the blank 3

  3. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places.

    fill in the blank 4%

  4. Would you expect the standard deviation of Fund P to be less than 15%, equal to 15%, or greater than 15%?

     

    1. less than 15%
    2. greater than 15%
    3. equal to 15%

     

     

     
**CAPM, Portfolio Risk, and Return Analysis**

This spreadsheet provides an analysis of expected return, standard deviation, and beta for different stocks using the Capital Asset Pricing Model (CAPM). Let's break down each section:

### Key Components:

1. **Risk-Free Rate (\(r_{RF}\))**: 
   - Given as 5.50%.

2. **Stock Analysis**:
   - **Stock A**:
     - Expected Return: 8.30%
     - Standard Deviation: 15.00%
     - Beta: 0.70
   - **Stock B**:
     - Expected Return: 10.30%
     - Standard Deviation: 15.00%
     - Beta: 1.20
   - **Stock C**:
     - Expected Return: 11.50%
     - Standard Deviation: 15.00%
     - Beta: 1.50

3. **Portfolio Parameters**:
   - **Market Risk Premium (RPM)**:
     - Value is not available (#N/A).
   - **% Stock in Fund P**:
     - Each stock (A, B, C) is equally weighted at 0.333333.
   - **Beta of Fund P**:
     - Data is not available (#N/A).
   - **Required Return of Fund P**:
     - Data is not available (#N/A).
   - **Expected Return of Fund P**:
     - Data is not available (#N/A).

### Observations:

- The spreadsheet suggests the calculation of key portfolio metrics (like the Market Risk Premium, Required Return, and Expected Return of Fund P), but these are currently marked as not available (#N/A).
  
- Each stock is given an equal allocation in Fund P, indicating a diversified approach with equal risk weights.

### Note:

This data is set up for further analysis using CAPM formulas, but actual calculations for the missing metrics would require additional information or further detailed inputs into the spreadsheet.
Transcribed Image Text:**CAPM, Portfolio Risk, and Return Analysis** This spreadsheet provides an analysis of expected return, standard deviation, and beta for different stocks using the Capital Asset Pricing Model (CAPM). Let's break down each section: ### Key Components: 1. **Risk-Free Rate (\(r_{RF}\))**: - Given as 5.50%. 2. **Stock Analysis**: - **Stock A**: - Expected Return: 8.30% - Standard Deviation: 15.00% - Beta: 0.70 - **Stock B**: - Expected Return: 10.30% - Standard Deviation: 15.00% - Beta: 1.20 - **Stock C**: - Expected Return: 11.50% - Standard Deviation: 15.00% - Beta: 1.50 3. **Portfolio Parameters**: - **Market Risk Premium (RPM)**: - Value is not available (#N/A). - **% Stock in Fund P**: - Each stock (A, B, C) is equally weighted at 0.333333. - **Beta of Fund P**: - Data is not available (#N/A). - **Required Return of Fund P**: - Data is not available (#N/A). - **Expected Return of Fund P**: - Data is not available (#N/A). ### Observations: - The spreadsheet suggests the calculation of key portfolio metrics (like the Market Risk Premium, Required Return, and Expected Return of Fund P), but these are currently marked as not available (#N/A). - Each stock is given an equal allocation in Fund P, indicating a diversified approach with equal risk weights. ### Note: This data is set up for further analysis using CAPM formulas, but actual calculations for the missing metrics would require additional information or further detailed inputs into the spreadsheet.
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