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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

  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 a beta for Stock D and an expected return for Stock E using the CAPM equation.
  2. 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.
  3. 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

  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.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?

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.
Sharpe ratio:
sp=Erp-rf/op

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