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The following table shows a market where there are only three securities, and in the next time period one of three possible outcomes will occur.

The following table shows a market where there are only three securities, and in the next time period one of three possible outcomes will occur.

State of economy

Probability

Expected Returns

Low Ltd

Med Corp

Hi Co

Excellent

0.40

23.00%

9.60%

1.20%

Good

0.50

8.10%

6.40%

1.20%

Poor

0.10

-1.90%

2.40%

1.20%

Required:

  1. Calculate the expected return for each asset separately.

  1. Calculate the standard deviation for each asset separately.

  1. Details of the risk and return of two shares are as follows:

Company

Expected return

Standard deviation

AC Co

14.00%

12.50%

DC Corp

21.00%

18.20%

The correlation between the two investments is +0.40

Suppose that an investor decides to create an investment portfolio comprising of:

Share

Amount ($)

AC Co

87,500

DC Corp

162,500

Required:

  1. Compute the expected return of the investment portfolio

  1. Compute the investment portfolio standard deviation.

  1. Discuss the concept of diversification in a portfolio.

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