Question
Use the following information to answer the questions. Security Beta Standard Deviation Expected return S&P 500 Risk-free security Stock D Stock E Stock F 1.0
- Use the following information to answer the questions.
Security | Beta | Standard Deviation | Expected return |
S&P 500 Risk-free security Stock D Stock E Stock F | 1.0 0.0 ( ) 0.8 ( ) | 20% 0% 30% 15% 25% | 10.0% 4.0% 13.0% ( )% ( )% |
- Figure out a beta for Stock D and an expected return for Stock E using the CAPM equation.
- If Stock F has a correlation with S&P 500 of 0.6 while the standard deviation of Stock F is 25% and the standard deviation of S&P is 20%. Figure out a beta for Stock F.
- You form a complete portfolio by investing $8,000 in S&P 500 and $2,000 in the risk-free security. Given the information about S&P 500 and the risk-free security on the table, figure out an expected return, a standard deviation, and a beta for the complete portfolio.
Variance-Covariance matrix | |||
| Stock H | Stock I | Stock J |
Stock H | 0.0169 |
|
|
Stock I | 0.0026 | 0.0400 |
|
Stock J | 0.0156 | 0.0090 | 0.0225 |
- Use the following information to answer the questions.
You form two portfolios. You form Portfolio A by investing $2,000 in Stock H and $8,000 in Stock I while you form Portfolio B by investing $4,000 in Stock I and $6,000 in Stock J.
1.Figure out the variance for Portfolios A and B.
2.Given the risk free rate of 0.04, figure out the Sharpe ratio for Portfolios A and B. Which portfolio is better based on the Sharpe ratio?
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