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Consider the following probability distribution for stocks A and B: State Probability Returns on Stock A Returns on Stock B 1 0.1 10% 8% 2

Consider the following probability distribution for stocks A and B:

State

Probability

Returns on Stock A

Returns on Stock B

1

0.1

10%

8%

2

0.2

13%

7%

3

0.2

12%

6%

4

0.3

14%

11%

5

0.2

15%

8%

  1. Calculate the expected rate of return of stocks A and B.
  2. Calculate the standard deviations of stocks A and B.
  3. Calculate the coefficient of correlation between A and B.
  4. If you invest 40% of your money in A and 60% in B, what would be your portfolio's expected rate of return and standard deviation?
  5. Calculate the weights of A and B in the global minimum variance portfolio.
  6. Calculate the expected rate of return and standard deviation of the global minimum variance portfolio.

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