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In a hypothetical world of 4 assets with the following information below. Assume no restrictions on short sales. Variance-covariance matrix Asset 1 Asset 2 Asset

In a hypothetical world of 4 assets with the following information below. Assume no restrictions on short sales.

Variance-covariance matrix

Asset 1

Asset 2

Asset 3

Asset 4

Expected returns

Asset 1

0.10

0.06

Asset 2

0.02

0.20

0.07

Asset 3

0.04

0.04

0.40

0.08

Asset 4

0.05

0.01

0.10

0.60

0.09

Required: [Instruction: Show your workings and round your final answers to three decimal places e.g., 0.001 or 0.1% in all three parts; provide a screenshot of your key step in solving portfolio weights using Excel for part a.]

  1. Find the portfolio weights for the minimum risk premium portfolio using the four assets.
  2. Identify five new efficient portfolios and use a table to report their portfolio weights, portfolio returns, and standard deviations. Draw an efficient frontier diagram on the plane of return-standard deviation, using the six efficient portfolios identified.
  3. Suppose a portfolio is composed of equal weights of each asset (i.e., [0.25, 0.25, 0.25, 0.25]). Is the portfolio efficient? Support your answer with the results of your calculations.

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