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Consider there are three market scenarios in the next year. A bull market, A bear market and a flat market. Consider two securities A and

Consider there are three market scenarios in the next year. A bull market, A bear market and a flat market. Consider two securities A and B. The scenario probabilities and returns data for A and B is given in the table below.

Scenario

A return

B return

Probability

Bear Market

-2%

1%

0.25

Bull Market

10%

2%

0.25

Flat Market

0%

1%

0.50

  1. What is the expected return of securities A and B
  2. What is the variance and standard deviation of securities A and B.
  3. What is the correlation between securities A and B

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