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Using the following information find expected return, variance and standard devi

ID: 2637382 • Letter: U

Question

Using the following information find expected return, variance and standard deviation of Stock A and B. Also find the covariance and correlation between Stock A and B.

States

Probability

Return on Stock A

Return on Stock B

1

20.00%

26.00%

9.00%

2

30.00%

18.00%

15.00%

3

50.00%

10.00%

30.00%

If you invest 10,000 in stock A and 15,000 in stock B what would be your portfolio return and risk. Use information from question 2 if necessary. Please show work for all

States

Probability

Return on Stock A

Return on Stock B

1

20.00%

26.00%

9.00%

2

30.00%

18.00%

15.00%

3

50.00%

10.00%

30.00%

Explanation / Answer

Return From A=0.2*26+0.3*18+0.5*10 15.6 Return From B=0.2*9+0.3*15+0.5*30 21.3 Variance of A=0.2*(26-15.5)^2+0.3*(18-15.6)^2+0.5*(10-15.6)^2 39.46 SD of A=Square Root(39.46) 6.28 Variance of B=0.2*(9-21.3)^2+0.3*(15-21.3)^2+0.5*(30-21.3)^2 80.01 SD of B=Square Root(80.01) 8.94 Return From A &B = (10000*15.6+15000*21.3)/25000 19.02