Consider two assets, A and B. A earns +4%, -5%, or +3%, n scenarios 1, 2, and 3. B earns -5%, +3%, or +4%, in scenarios 1, 2, and 3. Each scenario is equally likely. Compute the expected rates of return and SD for each asset. A and B. Now, consider a portfolio of assets A and B

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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Consider two assets, A and B. A earns +4%, -5%, or +3%,
in scenarios 1, 2, and 3. B earns -5%, +3%, or +4%, in
scenarios 1, 2, and 3. Each scenario is equally likely.
Compute the expected rates of return and SD for each
asset, A and B. Now, consider a portfolio of assets A and B
called AB, where the investor holds fraction 89% of his
portfolio in A and fraction (1-89%) in B. Compute the
standard deviation of AB. Compare the new standard
deviation to that of each asset's individual standard
deviation. What was the change in standard deviation
between asset A and portfolio AB? StDev(AB) - StDev(A)
Transcribed Image Text:Consider two assets, A and B. A earns +4%, -5%, or +3%, in scenarios 1, 2, and 3. B earns -5%, +3%, or +4%, in scenarios 1, 2, and 3. Each scenario is equally likely. Compute the expected rates of return and SD for each asset, A and B. Now, consider a portfolio of assets A and B called AB, where the investor holds fraction 89% of his portfolio in A and fraction (1-89%) in B. Compute the standard deviation of AB. Compare the new standard deviation to that of each asset's individual standard deviation. What was the change in standard deviation between asset A and portfolio AB? StDev(AB) - StDev(A)
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