A pension fund is investing $60 million in a well-diversified equity portfolio E and $30 million in a well-diversified bond portfolio B. Total assets under management (portfolio of E and B) has expected return of 8% and standard deviation of 5%. Recently, the fund acquired new capital of $10 million and will use it to invest in a Cryptocurrency portfolio C. C is known to have expected return of 12% and standard deviation of 10%. Also, it is known that the covariance between E and C is 0.8% and the covariance between B and C is 0.4%. What would be the expected return and the standard deviation of the total assets under management (portfolio of E, B and C) when the fund makes this new investment?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A pension fund is investing $60 million in a well-diversified equity portfolio E and $30 million in a well-diversified bond portfolio B. Total assets under management (portfolio of E and B) has expected return of 8% and standard deviation of 5%. Recently, the fund acquired new capital of $10 million and will use it to invest in a Cryptocurrency portfolio C. C is known to have expected return of 12% and standard deviation of 10%. Also, it is known that the covariance between E and C is 0.8% and the covariance between B and C is 0.4%. What would be the expected return and the standard deviation of the total assets under management (portfolio of E, B and C) when the fund makes this new investment?

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