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An investor has an investment capital of KES. 9,000,000. He wishes to invest in a portfolio of two securities, A and B in the following

An investor has an investment capital of KES. 9,000,000. He wishes to invest in a portfolio of two securities, A and B in the following proportion; KES. 4,950,000 in security A and KES. 4,050,000 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

Expansion

0.4

25%

5%

Boom

0.3

20%

10%

Recession

0.2

12%

20%

Depression

0.1

-20%

35%

Required:

  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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