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. Below are the expected returns from both stocks based on the probability of economic conditions. It is desired to create a portfolio from two

. Below are the expected returns from both stocks based on the probability of economic conditions. It is desired to create a portfolio from two stocks. It is decided to invest 30% in stock A and 70% in stock B.

Stock A

State (i)

p(i)

E(R)

Recession

0.50

-40%

Neutral

0.40

15%

Boom

0.10

30%

1.00

Stock B

State (i)

p(i)

E(R)

Recession

0.5

40%

Neutral

0.40

15%

Boom

0.1

-20%

1.00

  1. Compute the expected return and standard deviation of each stock?
  2. Find the covariance of stocks A and B?
  3. Find the correlation coefficient between stocks A and B?
  4. Find the expected return and standard deviation of this portfolio?
  5. If you were a portfolio manager, what type of investors do you recommend this portfolio and why?
  6. Explain why the beta of the market is always equal to 1 and beta of a treasury bill equal to 0.

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