Question: * please answer with worked solutions and NOT via excel * Q1. Assume analysts provide the following types of information. Assume short sales are allowed.

* please answer with worked solutions and NOT via excel *

Q1. Assume analysts provide the following types of information. Assume short sales are allowed.

Stock

Mean Return

Standard Deviation

A

10%

8%

B

12%

10%

C

18%

16%

risk free rate

5%

The pairwise coefficient of correlation between all three stocks is 0.5, i.e. AB=AC=BC=0.5.

a) What the rate of return and the standard deviation of an equal weighted portfolio consist of all three stocks?

b) What is the minimum variance portfolio of A and B? What is the standard deviation of this portfolio? Explain briefly why the standard deviation of the portfolio is lower than that of A and B.

c) Find the weights of stock A, B and C in the efficient portfolio.

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