Question: The table below shows expected returns and variance-covariance matrix for six stocks. Assume the risk-free rate of return is 2%. Stock Exp. Return % Var-Cov

The table below shows expected returns and variance-covariance matrix for six stocks. Assume the risk-free rate of return is 2%.

Stock

Exp. Return %

Var-Cov

K

Y

Z

W

U

V

K

8.57

K

112.89

-35.43

20.23

22.18

9.23

-29.73

Y

12.22

Y

-35.43

82.86

0.87

-39.41

-16.10

29.69

Z

8.74

Z

20.23

0.87

158.66

6.01

9.66

-3.10

W

3.54

W

22.18

-39.41

6.01

106.90

4.89

-17.78

U

7.36

U

9.23

-16.10

9.66

4.89

90.87

22.01

V

3.07

V

-29.73

29.69

-3.10

-17.78

22.01

134.25

  1. Derive the minimum variance portfolio on efficient frontier. Show the weights, expected return and standard deviation.
  2. Construct the tangency portfolio and derive the risk-return equation, i.e., Capital Market Line equation. Show the weights, expected return, standard deviation, and Sharpe Ratio.
  3. What combination of the risk-free asset and the tangency portfolio will result in 12% rate of return? What will be its standard deviation?

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