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Mr. Lowe wants to add Third Corp. to his portfolio. His actual portfolio consists of First Corp and Second Corp with weights of 40% and

Mr. Lowe wants to add Third Corp. to his portfolio. His actual portfolio consists of First Corp and Second Corp with weights of 40% and 60% respectively. That portfolio has a (rho) of .7. When he adds Third Corp, he wants the portfolio to have 50% weight of Third Corp and the rest in First and Second Corp in their original weights. The portfolio of the 3 companies would have a = -.25.

The following table has the financial data for the 3 companies.

Company Average Return Weight
First Corp 10% 40% 20.00
Second Corp 16% 60% 27.50
Third Corp 18% 50% 31.00

What is the expected return of the new portfolio with the 3 companies?

What is the standard deviation of new portfolio with the 3 companies?

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