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Consider the following information: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A Stock B Stock C Boom

  1. Consider the following information:

State of Economy

Probability of State of Economy

Rate of Return If State Occurs

Stock A

Stock B

Stock C

Boom

0.25

14%

15%

33%

Bust

0.75

12%

3%

-6%

What is the expected return and standard deviation of returns on an equally weighted portfolio of these three stocks?

2. Consider the following information:

State of Economy

Probability of State of Economy

Rate of Return If State Occurs

Stock K

Stock M

Boom

0.10

25%

18%

Growth

0.20

10%

20%

Normal

0.50

15%

4%

Recession

0.20

-12%

0%

  1. An individual plans to invest $5,000: $3,000 in Stock K and $2,000 in Stock M. What are the stock weights for this portfolio? (wK = 60%, wM = 40%)
  2. Using the weights computed in Part a, what is the expected return for the portfolio? (E(Rp) = 8.88%)

c. Using the weights computed in Part a, calculate the variance and standard deviation of the portfolio.

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