Essentials Of Investments
Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question
Question 1
Are the following statements true or false? Provide a short justification for your answer. (You
are evaluated on your justification.) Remember that a statement is false if any part of the statement is false.
A single correct counterexample is sufficient to show that a statement is false.
a)
assets A, B, C, with expected returns and standard deviations:
Suppose you are a mean-variance optimizer. The risk-free rate is 3%. There are three risky
E [řa] = 10%, SD [FA] = 5%
E [řB] = 15%, SD [řB] = 7%
E [řc] = 12%, SD [řc] = 9%
You cannot invest in all three risky assets. Instead, you have to choose whether to invest in only assets
(A, B), or only assets (A, C). Asset B mean-variance dominates asset C, since it has higher return and
lower standard deviation than asset C. Thus, as long as you are risk-averse, you would always prefer
the set of assets (A, B) to the set assets (A, C).
b)
the same market B's. The covariance matrix between A, B, C is:
Suppose the CAPM holds. Consider three stocks A, B, C. Suppose that assets A, B, C have
0.05 0.03
0.03
0.05
0.05
Assets A, B, C have the same variance. However, assets A and B are positively correlated with each
other, so they have larger systematic risk exposures than asset C: a portfolio with assets A and B
will have higher variance than a portfolio with A and C, or B and C. Thus, in market equilibrium,
the expected returns on assets A and B should be higher than the expected return on asset C, to
compensate for their higher systematic risk.
Suppose gold has a negative CAPM beta. This implies that gold is a hedge against the
you are currently holding the market portfolio and want to reduce your return risk, you
could decrease the portfolio weight on gold, and this would decrease the variance of your portfolio
market. If
returns.
d)
each other. Then there are always benefits from diversification in holding both stocks in a portfolio: it
is possible to construct a portfolio with positive weights in both A and B and a return variance that is
lower than the return variances of both A and B.
Suppose two stocks, A and B, have returns that are not perfectly correlated with
expand button
Transcribed Image Text:Question 1 Are the following statements true or false? Provide a short justification for your answer. (You are evaluated on your justification.) Remember that a statement is false if any part of the statement is false. A single correct counterexample is sufficient to show that a statement is false. a) assets A, B, C, with expected returns and standard deviations: Suppose you are a mean-variance optimizer. The risk-free rate is 3%. There are three risky E [řa] = 10%, SD [FA] = 5% E [řB] = 15%, SD [řB] = 7% E [řc] = 12%, SD [řc] = 9% You cannot invest in all three risky assets. Instead, you have to choose whether to invest in only assets (A, B), or only assets (A, C). Asset B mean-variance dominates asset C, since it has higher return and lower standard deviation than asset C. Thus, as long as you are risk-averse, you would always prefer the set of assets (A, B) to the set assets (A, C). b) the same market B's. The covariance matrix between A, B, C is: Suppose the CAPM holds. Consider three stocks A, B, C. Suppose that assets A, B, C have 0.05 0.03 0.03 0.05 0.05 Assets A, B, C have the same variance. However, assets A and B are positively correlated with each other, so they have larger systematic risk exposures than asset C: a portfolio with assets A and B will have higher variance than a portfolio with A and C, or B and C. Thus, in market equilibrium, the expected returns on assets A and B should be higher than the expected return on asset C, to compensate for their higher systematic risk. Suppose gold has a negative CAPM beta. This implies that gold is a hedge against the you are currently holding the market portfolio and want to reduce your return risk, you could decrease the portfolio weight on gold, and this would decrease the variance of your portfolio market. If returns. d) each other. Then there are always benefits from diversification in holding both stocks in a portfolio: it is possible to construct a portfolio with positive weights in both A and B and a return variance that is lower than the return variances of both A and B. Suppose two stocks, A and B, have returns that are not perfectly correlated with
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Finance
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.
Similar questions
Recommended textbooks for you
Text book image
Essentials Of Investments
Finance
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Mcgraw-hill Education,
Text book image
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:9781260013962
Author:BREALEY
Publisher:RENT MCG
Text book image
Financial Management: Theory & Practice
Finance
ISBN:9781337909730
Author:Brigham
Publisher:Cengage
Text book image
Foundations Of Finance
Finance
ISBN:9780134897264
Author:KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:Pearson,
Text book image
Fundamentals of Financial Management (MindTap Cou...
Finance
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning
Text book image
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