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The following stocks issued by companies X, Y and Z are available and an investor wants to set up a two-asset portfolio. Use the following

The following stocks issued by companies X, Y and Z are available and an investor wants to set up a two-asset portfolio. Use the following information, explain which portfolio the investor should prefer. Assume that the investor will hold both assets in equal proportions.

Stock X

Stock Y

Stock Z

Today

Forecasted prices (after 1 month)

Probability

Today

Forecasted prices (after 1 month)

Probability

Today

Forecasted prices (1 month)

Probability

Rs40

Rs45

0.5

Rs50

Rs62

0.3

Rs60

Rs70

0.2

Rs42

0.2

Rs58

0.2

Rs65

0.4

Rs40

0.1

Rs48

0.4

Rs60

0.1

Rs38

0.1

Rs45

0.1

Rs59

0.3

Rs35

0.1

The relationship between the returns of the stocks are measured as follows:

Covariances

COVXY

0.5

COVYZ

-0.2

COVXZ

-0.05

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