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?
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
Section: Chapter Questions
Problem 1PS
Related questions
Question
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?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Recommended textbooks for you
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education