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please answer 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

please answer question

  1. 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%

( )%

( )%

  1. Figure out the market risk premium using both S&P 500 and the risk-free security.
  2. Figure out a beta for Stock D and an expected return for Stock E using the CAPM equation.
  3. 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.
  4. If Stock F has an expected return of 12%, figure out the abnormal return, alpha (), based on CAPM and the beta you figure out in Question 3) (If you would like, you can use a beta of 1 instead.).
  5. 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.

6) A complete portfolio of $1,000 is composed of the risk-free security and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 80% and 20% respectively. Given the risk-free rate of 4%. X has an expected return of 10%, and Y has an expected return of 12%.

a) Figure out an expected return for the risky portfolio, P.

b) To form a complete portfolio with an expected return of 7.2%, how much should you invest in risk-free security, securities X and Y, respectively?

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

  1. 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. Given expected returns of 0.06, 0.10, and 0.12 for Stocks H, I, and J respectively, Figure out the expected return for Portfolios A and B.
  2. Figure out the variance for Portfolios A and B.
  3. 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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