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An investor has an investment capital of Sh.2,000,000. He wishes to invest in two securities, A and B in the following proportion; Sh.400,000 in security

An investor has an investment capital of Sh.2,000,000. He wishes to invest in two securities, A and B in the following proportion; Sh.400,000 in security A and Sh.1, 600,000 in security B.

The returns on these two securities depend on the state of the economy as shown below:

State of Economy

Probability

Return on Security A

Return on security B

Boom

0.4

18%

24%

Normal

0.5

14%

22%

Recession

0.1

12%

21%

  1. Compute the expected portfolio return
  2. Determine the correlation coefficient between security A and Security B and interpret it.
  3. Calculate the portfolio risk as measured by standard deviation.

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