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Consider the following possible returns on stock A, stock B, and the market portfolio over the next year: State of economy Probability of state occurring

  1. Consider the following possible returns on stock A, stock B, and the market portfolio over the next year:

State of economy

Probability of state occurring

Return on stock A

Return on stock B

Return on market

Recession

0.2

-6%

20%

-5%

Normal

0.5

10%

8%

8%

Boom

0.3

18%

-20%

12%

  1. What are the betas of the two stocks?
  2. Calculate the expected return and standard deviation of a portfolio that is composed of 40% of A and 60% of B.
  3. What do your answers in parts (b), (c), and (e) imply about diversification?
  4. A broker has advised you not to invest in stock B because it has a higher standard deviation. Is the brokers advice sound for a risk-averse investor like yourself? Why or why not?

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