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The expected returns for three different assets are given as: Probability Asset A JAsset B Asset C E[r] 30% 20% 15% and the covariance matrix
The expected returns for three different assets are given as: Probability Asset A JAsset B Asset C E[r] 30% 20% 15% and the covariance matrix is given as 0.16 0.06 -0.01 0.06 0.09 -0.0225 -0.01 -0.0225 0.0625 For the assets solve the following problems: Find the minimum variance portfolio. For the minimum variance portfolio find the following values: Expected portfolio return: %. (write the return percentage as decimal number) Portfolio variance: (write it as decimal number with 4 digits after 0 (as 0.xyzt)) weight of asset A: (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) weight of asset B: (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) weight of asset : (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) Now suppose that you want an expected return of 25%. Solve the Markowitz problem and find the following variables: Portfolio variance: (write it as decimal number with 4 digits after 0 (as 0.xyzt)) weight of asset A: (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) weight of asset B: (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) weight of asset C: The expected returns for three different assets are given as: Probability Asset A JAsset B Asset C E[r] 30% 20% 15% and the covariance matrix is given as 0.16 0.06 -0.01 0.06 0.09 -0.0225 -0.01 -0.0225 0.0625 For the assets solve the following problems: Find the minimum variance portfolio. For the minimum variance portfolio find the following values: Expected portfolio return: %. (write the return percentage as decimal number) Portfolio variance: (write it as decimal number with 4 digits after 0 (as 0.xyzt)) weight of asset A: (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) weight of asset B: (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) weight of asset : (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) Now suppose that you want an expected return of 25%. Solve the Markowitz problem and find the following variables: Portfolio variance: (write it as decimal number with 4 digits after 0 (as 0.xyzt)) weight of asset A: (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) weight of asset B: (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) (write it as decimal number with 2 digits after 0 (as 0.11 for a weight of 0.1074345)) weight of asset C
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